33.525 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.024 * [simplify]: Simplifying: (/ a (- (acos a))) 0.024 * * [simplify]: iteration 0: 4 enodes 0.025 * * [simplify]: iteration complete: 4 enodes 0.025 * * [simplify]: Extracting #0: cost 1 inf + 0 0.025 * * [simplify]: Extracting #1: cost 3 inf + 0 0.025 * * [simplify]: Extracting #2: cost 3 inf + 1 0.025 * * [simplify]: Extracting #3: cost 0 inf + 394 0.025 * [simplify]: Simplified to: (/ a (- (acos a))) 0.026 * * [progress]: iteration 1 / 4 0.026 * * * [progress]: picking best candidate 0.028 * * * * [pick]: Picked # 0.028 * * * [progress]: localizing error 0.040 * * * [progress]: generating rewritten candidates 0.040 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.047 * * * [progress]: generating series expansions 0.047 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.047 * [backup-simplify]: Simplify (/ a (- (acos a))) into (* -1 (/ a (acos a))) 0.047 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.047 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.047 * [taylor]: Taking taylor expansion of -1 in a 0.047 * [backup-simplify]: Simplify -1 into -1 0.047 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.047 * [taylor]: Taking taylor expansion of a in a 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.047 * [taylor]: Taking taylor expansion of (acos a) in a 0.047 * [backup-simplify]: Simplify (acos a) into (acos a) 0.048 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.048 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.048 * [taylor]: Taking taylor expansion of -1 in a 0.048 * [backup-simplify]: Simplify -1 into -1 0.048 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.048 * [taylor]: Taking taylor expansion of a in a 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 1 into 1 0.048 * [taylor]: Taking taylor expansion of (acos a) in a 0.048 * [backup-simplify]: Simplify (acos a) into (acos a) 0.048 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.048 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 0.048 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.048 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 0.049 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.050 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.051 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.052 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 0.052 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.054 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.056 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 0.056 * [backup-simplify]: Simplify (/ (/ 1 a) (- (acos (/ 1 a)))) into (/ -1 (* a (acos (/ 1 a)))) 0.056 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 0.056 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 0.056 * [taylor]: Taking taylor expansion of -1 in a 0.056 * [backup-simplify]: Simplify -1 into -1 0.056 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 0.056 * [taylor]: Taking taylor expansion of a in a 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 1 into 1 0.056 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.056 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.056 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 0.057 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 0.057 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.057 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 0.057 * [taylor]: Taking taylor expansion of -1 in a 0.057 * [backup-simplify]: Simplify -1 into -1 0.057 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 0.057 * [taylor]: Taking taylor expansion of a in a 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 1 into 1 0.057 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.057 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.057 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 0.057 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 0.058 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.058 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.058 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 0.058 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 0.060 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 0.061 * [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 0.061 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 0.063 * [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 0.063 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 0.065 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.065 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 0.067 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 0.067 * [backup-simplify]: Simplify (/ (/ 1 (- a)) (- (acos (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 0.067 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.067 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.067 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.067 * [taylor]: Taking taylor expansion of a in a 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.068 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.068 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.068 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.068 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.068 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.068 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.068 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.068 * [taylor]: Taking taylor expansion of a in a 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 1 into 1 0.068 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.068 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.068 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.069 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.069 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.069 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.070 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 0.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 0.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 0.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 0.074 * [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 0.074 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 0.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 0.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 0.078 * * * [progress]: simplifying candidates 0.079 * [simplify]: Simplifying: (- (log a) (log (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (/ (* (* a a) a) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (* (* (/ a (- (acos a))) (/ a (- (acos a)))) (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (- a) (- (- (acos a))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) 1) (/ (cbrt a) (- (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt a) (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- 1)) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (/ (* (cbrt a) (cbrt a)) 1) (/ (cbrt a) (- (acos a))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) 1) (/ (sqrt a) (- (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- 1)) (/ (sqrt a) (acos a)) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) 1) (/ (sqrt a) (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ 1 1) (/ a (- (acos a))) (/ 1 -1) (/ a (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (/ 1 (- 1)) (/ a (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (/ 1 1) (/ a (- (acos a))) (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ a (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (sqrt (- (acos a)))) (/ a 1) (/ a -1) (/ a (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (- (sqrt (acos a)))) (/ a (- 1)) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) (/ a 1) (/ (- (acos a)) (cbrt a)) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) a) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 0.080 * * [simplify]: iteration 0: 94 enodes 0.097 * * [simplify]: iteration 1: 171 enodes 0.127 * * [simplify]: iteration 2: 462 enodes 0.256 * * [simplify]: iteration 3: 2040 enodes 1.263 * * [simplify]: iteration complete: 5001 enodes 1.263 * * [simplify]: Extracting #0: cost 63 inf + 0 1.265 * * [simplify]: Extracting #1: cost 631 inf + 3 1.270 * * [simplify]: Extracting #2: cost 1294 inf + 14666 1.293 * * [simplify]: Extracting #3: cost 703 inf + 218247 1.355 * * [simplify]: Extracting #4: cost 50 inf + 349794 1.412 * * [simplify]: Extracting #5: cost 3 inf + 365125 1.476 * * [simplify]: Extracting #6: cost 0 inf + 366144 1.555 * [simplify]: Simplified to: (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) (/ (cbrt a) (sqrt (- (acos a))))) (/ (cbrt a) (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (* (/ (cbrt a) -1) (cbrt a)) (/ (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) -1) (cbrt a)) (/ (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))) 1.559 * * * [progress]: adding candidates to table 1.803 * * [progress]: iteration 2 / 4 1.803 * * * [progress]: picking best candidate 1.851 * * * * [pick]: Picked # 1.851 * * * [progress]: localizing error 1.866 * * * [progress]: generating rewritten candidates 1.866 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.887 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 1.915 * * * [progress]: generating series expansions 1.915 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.915 * [backup-simplify]: Simplify (/ 1 (/ (- (acos a)) a)) into (* -1 (/ a (acos a))) 1.915 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 1.915 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 1.915 * [taylor]: Taking taylor expansion of -1 in a 1.915 * [backup-simplify]: Simplify -1 into -1 1.915 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.915 * [taylor]: Taking taylor expansion of a in a 1.915 * [backup-simplify]: Simplify 0 into 0 1.915 * [backup-simplify]: Simplify 1 into 1 1.916 * [taylor]: Taking taylor expansion of (acos a) in a 1.916 * [backup-simplify]: Simplify (acos a) into (acos a) 1.916 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 1.916 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 1.916 * [taylor]: Taking taylor expansion of -1 in a 1.916 * [backup-simplify]: Simplify -1 into -1 1.916 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.916 * [taylor]: Taking taylor expansion of a in a 1.916 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify 1 into 1 1.916 * [taylor]: Taking taylor expansion of (acos a) in a 1.916 * [backup-simplify]: Simplify (acos a) into (acos a) 1.916 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 1.916 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 1.916 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 1.917 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 1.918 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.919 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 1.919 * [backup-simplify]: Simplify 0 into 0 1.919 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.920 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 1.920 * [backup-simplify]: Simplify 0 into 0 1.920 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.921 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.923 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 1.923 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.925 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 1.925 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 1.925 * [backup-simplify]: Simplify (/ 1 (/ (- (acos (/ 1 a))) (/ 1 a))) into (/ -1 (* a (acos (/ 1 a)))) 1.925 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 1.925 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 1.925 * [taylor]: Taking taylor expansion of -1 in a 1.925 * [backup-simplify]: Simplify -1 into -1 1.925 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 1.925 * [taylor]: Taking taylor expansion of a in a 1.925 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify 1 into 1 1.925 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.925 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.925 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 1.926 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 1.926 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.926 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 1.926 * [taylor]: Taking taylor expansion of -1 in a 1.926 * [backup-simplify]: Simplify -1 into -1 1.926 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 1.926 * [taylor]: Taking taylor expansion of a in a 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify 1 into 1 1.926 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.926 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.926 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 1.926 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 1.926 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.926 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.927 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 1.927 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 1.927 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 1.928 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 1.928 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 1.930 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 1.930 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 1.931 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 1.931 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 1.933 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 1.933 * [backup-simplify]: Simplify 0 into 0 1.935 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 1.936 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 1.936 * [backup-simplify]: Simplify 0 into 0 1.936 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 1.936 * [backup-simplify]: Simplify (/ 1 (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 1.936 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 1.936 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.936 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.936 * [taylor]: Taking taylor expansion of a in a 1.936 * [backup-simplify]: Simplify 0 into 0 1.936 * [backup-simplify]: Simplify 1 into 1 1.936 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.936 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.936 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 1.937 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 1.937 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 1.937 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.937 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.937 * [taylor]: Taking taylor expansion of a in a 1.937 * [backup-simplify]: Simplify 0 into 0 1.937 * [backup-simplify]: Simplify 1 into 1 1.937 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.937 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.937 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 1.937 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 1.937 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 1.937 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 1.938 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 1.938 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 1.938 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 1.939 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 1.939 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 1.941 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 1.941 * [backup-simplify]: Simplify 0 into 0 1.942 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 1.942 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 1.942 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 1.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 1.945 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 1.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 1.948 * [backup-simplify]: Simplify 0 into 0 1.949 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 1.949 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 1.949 * [backup-simplify]: Simplify (/ (- (acos a)) a) into (* -1 (/ (acos a) a)) 1.949 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 1.949 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 1.949 * [taylor]: Taking taylor expansion of -1 in a 1.949 * [backup-simplify]: Simplify -1 into -1 1.949 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 1.949 * [taylor]: Taking taylor expansion of (acos a) in a 1.949 * [backup-simplify]: Simplify (acos a) into (acos a) 1.949 * [taylor]: Taking taylor expansion of a in a 1.949 * [backup-simplify]: Simplify 0 into 0 1.949 * [backup-simplify]: Simplify 1 into 1 1.949 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 1.949 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 1.949 * [taylor]: Taking taylor expansion of -1 in a 1.949 * [backup-simplify]: Simplify -1 into -1 1.949 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 1.949 * [taylor]: Taking taylor expansion of (acos a) in a 1.949 * [backup-simplify]: Simplify (acos a) into (acos a) 1.949 * [taylor]: Taking taylor expansion of a in a 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify 1 into 1 1.950 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 1.950 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 1.950 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 1.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 1.952 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos a))) into 0 1.952 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.954 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos a)))) into 0 1.954 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.957 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))) into 0 1.957 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.967 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))) into 0 1.968 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.973 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))))) into 0 1.973 * [backup-simplify]: Simplify 0 into 0 1.977 * [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 1.979 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))))) into 0 1.979 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify (* (* -1 (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 1.979 * [backup-simplify]: Simplify (/ (- (acos (/ 1 a))) (/ 1 a)) into (* -1 (* a (acos (/ 1 a)))) 1.979 * [approximate]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in (a) around 0 1.979 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in a 1.980 * [taylor]: Taking taylor expansion of -1 in a 1.980 * [backup-simplify]: Simplify -1 into -1 1.980 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 1.980 * [taylor]: Taking taylor expansion of a in a 1.980 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify 1 into 1 1.980 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.980 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.980 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in a 1.980 * [taylor]: Taking taylor expansion of -1 in a 1.980 * [backup-simplify]: Simplify -1 into -1 1.980 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 1.980 * [taylor]: Taking taylor expansion of a in a 1.980 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify 1 into 1 1.980 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.980 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.980 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 1.981 * [backup-simplify]: Simplify (* -1 0) into 0 1.981 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 1.982 * [backup-simplify]: Simplify (+ (* -1 (acos (/ 1 a))) (* 0 0)) into (- (acos (/ 1 a))) 1.982 * [backup-simplify]: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) 1.983 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 1.984 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))) into 0 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 1.985 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))) into 0 1.985 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 1.988 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))) into 0 1.988 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 1.993 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))) into 0 1.993 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 1.998 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))))) into 0 1.999 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 2.004 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))))) into 0 2.004 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify (* (- (acos (/ 1 (/ 1 a)))) (/ 1 a)) into (* -1 (/ (acos a) a)) 2.005 * [backup-simplify]: Simplify (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) into (* a (acos (/ -1 a))) 2.005 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 2.005 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.005 * [taylor]: Taking taylor expansion of a in a 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify 1 into 1 2.005 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.005 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.005 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.005 * [taylor]: Taking taylor expansion of a in a 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify 1 into 1 2.005 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.005 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.006 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 2.006 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 2.006 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.007 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 2.007 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 2.008 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 2.009 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 2.011 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 2.013 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify (* (acos (/ -1 (/ 1 (- a)))) (/ 1 (- a))) into (* -1 (/ (acos a) a)) 2.015 * * * [progress]: simplifying candidates 2.018 * [simplify]: Simplifying: (- 1) (- (- (log (- (acos a))) (log a))) (- (log (/ (- (acos a)) a))) (- 0 (- (log (- (acos a))) (log a))) (- 0 (log (/ (- (acos a)) a))) (- (log 1) (- (log (- (acos a))) (log a))) (- (log 1) (log (/ (- (acos a)) a))) (log (/ 1 (/ (- (acos a)) a))) (exp (/ 1 (/ (- (acos a)) a))) (/ (* (* 1 1) 1) (/ (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* a a) a))) (/ (* (* 1 1) 1) (* (* (/ (- (acos a)) a) (/ (- (acos a)) a)) (/ (- (acos a)) a))) (* (cbrt (/ 1 (/ (- (acos a)) a))) (cbrt (/ 1 (/ (- (acos a)) a)))) (cbrt (/ 1 (/ (- (acos a)) a))) (* (* (/ 1 (/ (- (acos a)) a)) (/ 1 (/ (- (acos a)) a))) (/ 1 (/ (- (acos a)) a))) (sqrt (/ 1 (/ (- (acos a)) a))) (sqrt (/ 1 (/ (- (acos a)) a))) (- 1) (- (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ (cbrt 1) (cbrt (/ (- (acos a)) a))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (- (acos a)) a))) (/ (cbrt 1) (sqrt (/ (- (acos a)) a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- (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))) (* 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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)) (/ 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(cbrt (acos a)) (cbrt (acos a)))) (sqrt a))) (/ (sqrt 1) (/ (cbrt (acos a)) (sqrt a))) (/ (sqrt 1) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1)) (/ (sqrt 1) (/ (cbrt (acos a)) a)) (/ (sqrt 1) (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (sqrt (acos a)) (cbrt a))) (/ (sqrt 1) (/ (- (sqrt (acos a))) (sqrt a))) (/ (sqrt 1) (/ (sqrt (acos a)) (sqrt a))) (/ (sqrt 1) (/ (- (sqrt (acos a))) 1)) (/ (sqrt 1) (/ (sqrt (acos a)) a)) (/ (sqrt 1) (/ (- 1) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (acos a) (cbrt a))) (/ (sqrt 1) (/ (- 1) (sqrt a))) (/ (sqrt 1) (/ (acos a) (sqrt a))) (/ (sqrt 1) (/ (- 1) 1)) (/ (sqrt 1) (/ (acos a) a)) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (- (cbrt (acos a))) (cbrt a))) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ (sqrt 1) (/ (- (cbrt (acos a))) (sqrt a))) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ (sqrt 1) (/ (- (cbrt (acos a))) a)) (/ (sqrt 1) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (- (sqrt (acos a))) (cbrt a))) (/ (sqrt 1) (/ (sqrt (acos a)) (sqrt a))) (/ (sqrt 1) (/ (- (sqrt (acos a))) (sqrt a))) (/ (sqrt 1) (/ (sqrt (acos a)) 1)) (/ (sqrt 1) (/ (- (sqrt (acos a))) a)) (/ (sqrt 1) (/ 1 (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (- (acos a)) (cbrt a))) (/ (sqrt 1) (/ 1 (sqrt a))) (/ (sqrt 1) (/ (- (acos a)) (sqrt a))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (- (acos a)) a)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (- (acos a)) a)) (/ (sqrt 1) (- (acos a))) (/ (sqrt 1) (/ 1 a)) (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ 1 (cbrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (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 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(/ 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))) (- (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)) 2.021 * * [simplify]: iteration 0: 288 enodes 2.218 * * [simplify]: iteration 1: 785 enodes 2.631 * * [simplify]: iteration 2: 3876 enodes 3.447 * * [simplify]: iteration complete: 5000 enodes 3.448 * * [simplify]: Extracting #0: cost 126 inf + 0 3.463 * * [simplify]: Extracting #1: cost 1524 inf + 308 3.480 * * [simplify]: Extracting #2: cost 1221 inf + 110367 3.530 * * [simplify]: Extracting #3: cost 225 inf + 354571 3.586 * * [simplify]: Extracting #4: cost 3 inf + 416188 3.648 * * [simplify]: Extracting #5: cost 0 inf + 417023 3.734 * [simplify]: Simplified to: -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 a) (- (acos a)))) (/ (/ 1 (- (/ (acos a) a))) (* (/ (acos a) a) (/ (acos a) a))) (/ (/ 1 (- (/ (acos a) a))) (* (/ (acos a) a) (/ (acos a) a))) (* (cbrt (/ (* 1 a) (- (acos a)))) (cbrt (/ (* 1 a) (- (acos a))))) (cbrt (/ (* 1 a) (- (acos a)))) (* (/ (* 1 a) (- (acos a))) (* (/ (* 1 a) (- (acos a))) (/ (* 1 a) (- (acos a))))) (sqrt (/ (* 1 a) (- (acos a)))) (sqrt (/ (* 1 a) (- (acos a)))) -1 (/ (acos a) a) (/ (/ 1 (cbrt (- (/ (acos a) a)))) (cbrt (- (/ (acos a) a)))) (/ 1 (cbrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) (/ 1 (* (/ (cbrt (- (acos a))) (cbrt a)) (/ (cbrt (- (acos a))) (cbrt a)))) (* (/ 1 (cbrt (- (acos a)))) (cbrt a)) (* (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (sqrt a)) (* (sqrt a) (/ 1 (cbrt (- (acos a))))) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a)))) (/ (* 1 a) (cbrt (- (acos 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 a) (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (* (cbrt a) (/ 1 (- (acos a)))) (sqrt a) (/ (* 1 (sqrt a)) (- (acos a))) 1 (/ (* 1 a) (- (acos a))) (- (* (cbrt a) (cbrt a))) (/ (* 1 (cbrt a)) (acos a)) (- (sqrt a)) (* (sqrt a) (/ 1 (acos a))) -1 (/ (* 1 a) (acos a)) (/ 1 (- (* (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (cbrt a))))) (* (cbrt a) (/ 1 (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 (cbrt (acos a))) a) (* (* (cbrt a) (cbrt a)) (/ 1 (- (sqrt (acos a))))) (/ 1 (/ (sqrt (acos a)) (cbrt a))) (* (sqrt a) (/ 1 (- (sqrt (acos a))))) (/ (* 1 (sqrt a)) (sqrt (acos 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 a) (acos a)) (/ (/ 1 (/ (cbrt (acos a)) (cbrt a))) (/ (cbrt (acos a)) (cbrt a))) (/ (* 1 (cbrt a)) (- (cbrt (acos a)))) (* (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (sqrt a)) (/ (* 1 (sqrt a)) (- (cbrt (acos a)))) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (* a (/ 1 (- (cbrt (acos a))))) (/ 1 (/ (/ (sqrt (acos a)) (cbrt a)) (cbrt a))) (* (/ 1 (- (sqrt (acos a)))) (cbrt a)) (/ (* 1 (sqrt a)) (sqrt (acos a))) (* (sqrt a) (/ 1 (- (sqrt (acos a))))) (/ 1 (sqrt (acos a))) (/ (* 1 a) (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (* (cbrt a) (/ 1 (- (acos a)))) (sqrt a) (/ (* 1 (sqrt a)) (- (acos a))) 1 (/ (* 1 a) (- (acos a))) 1 (/ (* 1 a) (- (acos a))) (/ 1 (- (acos a))) a (/ (/ 1 (cbrt (- (/ (acos a) a)))) (cbrt (- (/ (acos a) a)))) (/ 1 (cbrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) (/ 1 (* (/ (cbrt (- (acos a))) (cbrt a)) (/ (cbrt (- (acos a))) (cbrt a)))) (* (/ 1 (cbrt (- (acos a)))) (cbrt a)) (* (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (sqrt a)) (* (sqrt a) (/ 1 (cbrt (- (acos a))))) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a)))) (/ (* 1 a) (cbrt (- (acos 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 a) (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (* (cbrt a) (/ 1 (- (acos a)))) (sqrt a) (/ (* 1 (sqrt a)) (- (acos a))) 1 (/ (* 1 a) (- (acos a))) (- (* (cbrt a) (cbrt a))) (/ (* 1 (cbrt a)) (acos a)) (- (sqrt a)) (* (sqrt a) (/ 1 (acos a))) -1 (/ (* 1 a) (acos a)) (/ 1 (- (* (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (cbrt a))))) (* (cbrt a) (/ 1 (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 (cbrt (acos a))) a) (* (* (cbrt a) (cbrt a)) (/ 1 (- (sqrt (acos a))))) (/ 1 (/ (sqrt (acos a)) (cbrt a))) (* (sqrt a) (/ 1 (- (sqrt (acos a))))) (/ (* 1 (sqrt a)) (sqrt (acos 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 a) (acos a)) (/ (/ 1 (/ (cbrt (acos a)) (cbrt a))) (/ (cbrt (acos a)) (cbrt a))) (/ (* 1 (cbrt a)) (- (cbrt (acos a)))) (* (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (sqrt a)) (/ (* 1 (sqrt a)) (- (cbrt (acos a)))) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (* a (/ 1 (- (cbrt (acos a))))) (/ 1 (/ (/ (sqrt (acos a)) (cbrt a)) (cbrt a))) (* (/ 1 (- (sqrt (acos a)))) (cbrt a)) (/ (* 1 (sqrt a)) (sqrt (acos a))) (* (sqrt a) (/ 1 (- (sqrt (acos a))))) (/ 1 (sqrt (acos a))) (/ (* 1 a) (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (* (cbrt a) (/ 1 (- (acos a)))) (sqrt a) (/ (* 1 (sqrt a)) (- (acos a))) 1 (/ (* 1 a) (- (acos a))) 1 (/ (* 1 a) (- (acos a))) (/ 1 (- (acos a))) a (/ (/ 1 (cbrt (- (/ (acos a) a)))) (cbrt (- (/ (acos a) a)))) (/ 1 (cbrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) (/ 1 (* (/ (cbrt (- (acos a))) (cbrt a)) (/ (cbrt (- (acos a))) (cbrt a)))) (* (/ 1 (cbrt (- (acos a)))) (cbrt a)) (* (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (sqrt a)) (* (sqrt a) (/ 1 (cbrt (- (acos a))))) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a)))) (/ (* 1 a) (cbrt (- (acos 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 a) (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (* (cbrt a) (/ 1 (- (acos a)))) (sqrt a) (/ (* 1 (sqrt a)) (- (acos a))) 1 (/ (* 1 a) (- (acos a))) (- (* (cbrt a) (cbrt a))) (/ (* 1 (cbrt a)) (acos a)) (- (sqrt a)) (* (sqrt a) (/ 1 (acos a))) -1 (/ (* 1 a) (acos a)) (/ 1 (- (* (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (cbrt a))))) (* (cbrt a) (/ 1 (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 (cbrt (acos a))) a) (* (* (cbrt a) (cbrt a)) (/ 1 (- (sqrt (acos a))))) (/ 1 (/ (sqrt (acos a)) (cbrt a))) (* (sqrt a) (/ 1 (- (sqrt (acos a))))) (/ (* 1 (sqrt a)) (sqrt (acos 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 a) (acos a)) (/ (/ 1 (/ (cbrt (acos a)) (cbrt a))) (/ (cbrt (acos a)) (cbrt a))) (/ (* 1 (cbrt a)) (- (cbrt (acos a)))) (* (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (sqrt a)) (/ (* 1 (sqrt a)) (- (cbrt (acos a)))) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (* a (/ 1 (- (cbrt (acos a))))) (/ 1 (/ (/ (sqrt (acos a)) (cbrt a)) (cbrt a))) (* (/ 1 (- (sqrt (acos a)))) (cbrt a)) (/ (* 1 (sqrt a)) (sqrt (acos a))) (* (sqrt a) (/ 1 (- (sqrt (acos a))))) (/ 1 (sqrt (acos a))) (/ (* 1 a) (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (* (cbrt a) (/ 1 (- (acos a)))) (sqrt a) (/ (* 1 (sqrt a)) (- (acos a))) 1 (/ (* 1 a) (- (acos a))) 1 (/ (* 1 a) (- (acos a))) (/ 1 (- (acos a))) a (/ (* 1 a) (- (acos 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)))) (* (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (sqrt a)) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a)))) (/ 1 (/ (/ (sqrt (- (acos a))) (cbrt a)) (cbrt a))) (* (/ 1 (sqrt (- (acos a)))) (sqrt a)) (/ 1 (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (sqrt a) 1 (- (* (cbrt a) (cbrt a))) (- (sqrt a)) -1 (/ 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))) (* (* (cbrt a) (cbrt a)) (/ 1 (- (sqrt (acos a))))) (* (sqrt a) (/ 1 (- (sqrt (acos 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))) (cbrt (acos a))) (sqrt 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 1 (/ 1 (- (acos a))) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (/ 1 (- (acos 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)) 3.758 * * * [progress]: adding candidates to table 4.482 * * [progress]: iteration 3 / 4 4.482 * * * [progress]: picking best candidate 4.521 * * * * [pick]: Picked # 4.521 * * * [progress]: localizing error 4.539 * * * [progress]: generating rewritten candidates 4.539 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.576 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 4.635 * * * [progress]: generating series expansions 4.635 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.635 * [backup-simplify]: Simplify (/ (/ 1 (- (acos a))) (/ 1 a)) into (* -1 (/ a (acos a))) 4.636 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 4.636 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 4.636 * [taylor]: Taking taylor expansion of -1 in a 4.636 * [backup-simplify]: Simplify -1 into -1 4.636 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 4.636 * [taylor]: Taking taylor expansion of a in a 4.636 * [backup-simplify]: Simplify 0 into 0 4.636 * [backup-simplify]: Simplify 1 into 1 4.636 * [taylor]: Taking taylor expansion of (acos a) in a 4.636 * [backup-simplify]: Simplify (acos a) into (acos a) 4.636 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 4.636 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 4.636 * [taylor]: Taking taylor expansion of -1 in a 4.636 * [backup-simplify]: Simplify -1 into -1 4.636 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 4.636 * [taylor]: Taking taylor expansion of a in a 4.636 * [backup-simplify]: Simplify 0 into 0 4.636 * [backup-simplify]: Simplify 1 into 1 4.636 * [taylor]: Taking taylor expansion of (acos a) in a 4.636 * [backup-simplify]: Simplify (acos a) into (acos a) 4.636 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 4.636 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 4.636 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 4.636 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 4.637 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 4.637 * [backup-simplify]: Simplify 0 into 0 4.637 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.638 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 4.638 * [backup-simplify]: Simplify 0 into 0 4.638 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.639 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 4.639 * [backup-simplify]: Simplify 0 into 0 4.639 * [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 4.640 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 4.640 * [backup-simplify]: Simplify 0 into 0 4.641 * [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 4.642 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 4.642 * [backup-simplify]: Simplify 0 into 0 4.642 * [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 4.644 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 4.644 * [backup-simplify]: Simplify 0 into 0 4.644 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 4.644 * [backup-simplify]: Simplify (/ (/ 1 (- (acos (/ 1 a)))) (/ 1 (/ 1 a))) into (/ -1 (* a (acos (/ 1 a)))) 4.644 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 4.644 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 4.644 * [taylor]: Taking taylor expansion of -1 in a 4.644 * [backup-simplify]: Simplify -1 into -1 4.644 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 4.644 * [taylor]: Taking taylor expansion of a in a 4.644 * [backup-simplify]: Simplify 0 into 0 4.644 * [backup-simplify]: Simplify 1 into 1 4.644 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.644 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 4.645 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 4.645 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 4.645 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.645 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 4.645 * [taylor]: Taking taylor expansion of -1 in a 4.645 * [backup-simplify]: Simplify -1 into -1 4.645 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 4.645 * [taylor]: Taking taylor expansion of a in a 4.645 * [backup-simplify]: Simplify 0 into 0 4.645 * [backup-simplify]: Simplify 1 into 1 4.645 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.645 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 4.645 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 4.646 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 4.646 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.646 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.646 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 4.647 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 4.647 * [backup-simplify]: Simplify 0 into 0 4.648 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 4.648 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.648 * [backup-simplify]: Simplify 0 into 0 4.649 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 4.649 * [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 4.649 * [backup-simplify]: Simplify 0 into 0 4.650 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 4.651 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.651 * [backup-simplify]: Simplify 0 into 0 4.652 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 4.653 * [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 4.653 * [backup-simplify]: Simplify 0 into 0 4.654 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 4.655 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.655 * [backup-simplify]: Simplify 0 into 0 4.655 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 4.655 * [backup-simplify]: Simplify (/ (/ 1 (- (acos (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 4.655 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 4.655 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 4.655 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 4.655 * [taylor]: Taking taylor expansion of a in a 4.655 * [backup-simplify]: Simplify 0 into 0 4.655 * [backup-simplify]: Simplify 1 into 1 4.655 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.655 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 4.655 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 4.656 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 4.656 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 4.656 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 4.656 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 4.656 * [taylor]: Taking taylor expansion of a in a 4.656 * [backup-simplify]: Simplify 0 into 0 4.656 * [backup-simplify]: Simplify 1 into 1 4.656 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.656 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 4.656 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 4.657 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 4.657 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 4.657 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 4.658 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 4.659 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 4.659 * [backup-simplify]: Simplify 0 into 0 4.660 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 4.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.661 * [backup-simplify]: Simplify 0 into 0 4.663 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 4.663 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.663 * [backup-simplify]: Simplify 0 into 0 4.665 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 4.666 * [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 4.666 * [backup-simplify]: Simplify 0 into 0 4.669 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 4.670 * [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 4.670 * [backup-simplify]: Simplify 0 into 0 4.673 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 4.674 * [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 4.674 * [backup-simplify]: Simplify 0 into 0 4.674 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 4.674 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 4.674 * [backup-simplify]: Simplify (/ 1 (- (acos a))) into (/ -1 (acos a)) 4.674 * [approximate]: Taking taylor expansion of (/ -1 (acos a)) in (a) around 0 4.674 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 4.674 * [taylor]: Taking taylor expansion of -1 in a 4.674 * [backup-simplify]: Simplify -1 into -1 4.674 * [taylor]: Taking taylor expansion of (acos a) in a 4.674 * [backup-simplify]: Simplify (acos a) into (acos a) 4.674 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 4.674 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 4.675 * [taylor]: Taking taylor expansion of -1 in a 4.675 * [backup-simplify]: Simplify -1 into -1 4.675 * [taylor]: Taking taylor expansion of (acos a) in a 4.675 * [backup-simplify]: Simplify (acos a) into (acos a) 4.675 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 4.675 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 4.675 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))))) into 0 4.675 * [backup-simplify]: Simplify 0 into 0 4.676 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.676 * [backup-simplify]: Simplify 0 into 0 4.676 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.676 * [backup-simplify]: Simplify 0 into 0 4.677 * [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 4.677 * [backup-simplify]: Simplify 0 into 0 4.677 * [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 4.677 * [backup-simplify]: Simplify 0 into 0 4.678 * [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 4.678 * [backup-simplify]: Simplify 0 into 0 4.678 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 4.678 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 a)))) into (/ -1 (acos (/ 1 a))) 4.678 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in (a) around 0 4.678 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 4.678 * [taylor]: Taking taylor expansion of -1 in a 4.679 * [backup-simplify]: Simplify -1 into -1 4.679 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.679 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 4.679 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.679 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 4.679 * [taylor]: Taking taylor expansion of -1 in a 4.679 * [backup-simplify]: Simplify -1 into -1 4.679 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.679 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 4.679 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.679 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.680 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 4.680 * [backup-simplify]: Simplify 0 into 0 4.680 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.680 * [backup-simplify]: Simplify 0 into 0 4.681 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.681 * [backup-simplify]: Simplify 0 into 0 4.681 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.681 * [backup-simplify]: Simplify 0 into 0 4.682 * [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 4.682 * [backup-simplify]: Simplify 0 into 0 4.683 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.683 * [backup-simplify]: Simplify 0 into 0 4.683 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 (/ 1 a)))) into (/ -1 (acos a)) 4.683 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 (- a))))) into (/ -1 (acos (/ -1 a))) 4.683 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in (a) around 0 4.683 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 4.683 * [taylor]: Taking taylor expansion of -1 in a 4.683 * [backup-simplify]: Simplify -1 into -1 4.683 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.683 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 4.683 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 4.683 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 4.683 * [taylor]: Taking taylor expansion of -1 in a 4.683 * [backup-simplify]: Simplify -1 into -1 4.684 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.684 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 4.684 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 4.684 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 4.684 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 4.684 * [backup-simplify]: Simplify 0 into 0 4.684 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.684 * [backup-simplify]: Simplify 0 into 0 4.684 * [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 4.684 * [backup-simplify]: Simplify 0 into 0 4.685 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.685 * [backup-simplify]: Simplify 0 into 0 4.685 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.685 * [backup-simplify]: Simplify 0 into 0 4.686 * [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 4.686 * [backup-simplify]: Simplify 0 into 0 4.686 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 (/ 1 (- a))))) into (/ -1 (acos a)) 4.686 * * * [progress]: simplifying candidates 4.704 * [simplify]: Simplifying: (- (- (log (- (acos a)))) (- (log a))) (- (- (log (- (acos a)))) (- 0 (log a))) (- (- (log (- (acos a)))) (- (log 1) (log a))) (- (- (log (- (acos a)))) (log (/ 1 a))) (- (- 0 (log (- (acos a)))) (- (log a))) (- (- 0 (log (- (acos a)))) (- 0 (log a))) (- (- 0 (log (- (acos a)))) (- (log 1) (log a))) (- (- 0 (log (- (acos a)))) (log (/ 1 a))) (- (- (log 1) (log (- (acos a)))) (- (log a))) (- (- (log 1) (log (- (acos a)))) (- 0 (log a))) (- (- (log 1) (log (- (acos a)))) (- (log 1) (log a))) (- (- (log 1) (log (- (acos a)))) (log (/ 1 a))) (- (log (/ 1 (- (acos a)))) (- (log a))) (- (log (/ 1 (- (acos a)))) (- 0 (log a))) (- (log (/ 1 (- (acos a)))) (- (log 1) (log a))) (- (log (/ 1 (- (acos a)))) (log (/ 1 a))) (log (/ (/ 1 (- (acos a))) (/ 1 a))) (exp (/ (/ 1 (- (acos a))) (/ 1 a))) (/ (/ (* (* 1 1) 1) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (/ (* (* 1 1) 1) (* (* a a) a))) (/ (/ (* (* 1 1) 1) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (/ (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a)))) (/ (* (* 1 1) 1) (* (* a a) a))) (/ (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a)))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (* (cbrt (/ (/ 1 (- (acos a))) (/ 1 a))) (cbrt (/ (/ 1 (- (acos a))) (/ 1 a)))) (cbrt (/ (/ 1 (- (acos a))) (/ 1 a))) (* (* (/ (/ 1 (- (acos a))) (/ 1 a)) (/ (/ 1 (- (acos a))) (/ 1 a))) (/ (/ 1 (- (acos a))) (/ 1 a))) (sqrt (/ (/ 1 (- (acos a))) (/ 1 a))) (sqrt (/ (/ 1 (- (acos a))) (/ 1 a))) (- (/ 1 (- (acos a)))) (- (/ 1 a)) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (sqrt (/ 1 a))) (/ (cbrt (/ 1 (- (acos a)))) (sqrt (/ 1 a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (/ (cbrt (/ 1 (- (acos a)))) (/ (cbrt 1) (cbrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (/ (cbrt (/ 1 (- (acos a)))) (/ (cbrt 1) (sqrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (cbrt (/ 1 (- (acos a)))) (/ (cbrt 1) a)) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (sqrt 1) (* (cbrt a) (cbrt a)))) (/ (cbrt (/ 1 (- (acos a)))) (/ (sqrt 1) (cbrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (sqrt 1) (sqrt a))) (/ (cbrt (/ 1 (- (acos a)))) (/ (sqrt 1) (sqrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (sqrt 1) 1)) (/ (cbrt (/ 1 (- (acos a)))) (/ (sqrt 1) a)) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ 1 (* (cbrt a) (cbrt a)))) (/ (cbrt (/ 1 (- (acos a)))) (/ 1 (cbrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ 1 (sqrt a))) (/ (cbrt (/ 1 (- (acos a)))) (/ 1 (sqrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ 1 1)) (/ (cbrt (/ 1 (- (acos a)))) (/ 1 a)) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) 1) (/ (cbrt (/ 1 (- (acos a)))) (/ 1 a)) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) 1) (/ (cbrt (/ 1 (- (acos a)))) (/ 1 a)) (/ (sqrt (/ 1 (- (acos a)))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (sqrt (/ 1 (- (acos a)))) (cbrt (/ 1 a))) (/ (sqrt (/ 1 (- (acos a)))) (sqrt (/ 1 a))) (/ (sqrt (/ 1 (- (acos a)))) (sqrt (/ 1 a))) (/ (sqrt (/ 1 (- (acos a)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (/ (sqrt (/ 1 (- (acos a)))) (/ (cbrt 1) (cbrt a))) (/ (sqrt (/ 1 (- (acos a)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (/ (sqrt (/ 1 (- (acos a)))) (/ (cbrt 1) (sqrt a))) (/ (sqrt (/ 1 (- (acos a)))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (sqrt (/ 1 (- (acos a)))) (/ (cbrt 1) a)) (/ (sqrt (/ 1 (- (acos a)))) (/ (sqrt 1) (* (cbrt a) (cbrt a)))) (/ (sqrt (/ 1 (- (acos a)))) (/ (sqrt 1) (cbrt a))) (/ (sqrt (/ 1 (- (acos a)))) (/ (sqrt 1) (sqrt a))) (/ (sqrt (/ 1 (- (acos a)))) (/ (sqrt 1) (sqrt a))) (/ (sqrt (/ 1 (- (acos a)))) (/ (sqrt 1) 1)) (/ (sqrt (/ 1 (- (acos a)))) (/ (sqrt 1) a)) (/ (sqrt (/ 1 (- (acos a)))) (/ 1 (* (cbrt a) (cbrt a)))) (/ (sqrt (/ 1 (- (acos a)))) (/ 1 (cbrt a))) (/ (sqrt (/ 1 (- (acos a)))) (/ 1 (sqrt a))) (/ 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6.175 * * [simplify]: iteration 1: 2939 enodes 6.723 * * [simplify]: iteration complete: 5001 enodes 6.724 * * [simplify]: Extracting #0: cost 135 inf + 0 6.736 * * [simplify]: Extracting #1: cost 919 inf + 398 6.743 * * [simplify]: Extracting #2: cost 1029 inf + 27824 6.768 * * [simplify]: Extracting #3: cost 310 inf + 216898 6.824 * * [simplify]: Extracting #4: cost 27 inf + 298197 6.885 * * [simplify]: Extracting #5: cost 0 inf + 306996 6.950 * [simplify]: Simplified to: (log (* (/ 1 (- (acos a))) a)) (log (* (/ 1 (- (acos a))) a)) (log (* (/ 1 (- (acos a))) a)) (log (* (/ 1 (- (acos a))) a)) (log (* (/ 1 (- (acos a))) a)) (log (* (/ 1 (- (acos a))) a)) (log (* (/ 1 (- (acos a))) a)) (log (* (/ 1 (- (acos a))) a)) (log (* (/ 1 (- (acos a))) a)) (log (* (/ 1 (- (acos a))) a)) (log (* (/ 1 (- (acos a))) a)) (log (* (/ 1 (- (acos a))) a)) (log (* (/ 1 (- (acos a))) a)) (log (* (/ 1 (- (acos a))) a)) (log (* (/ 1 (- (acos a))) a)) (log (* (/ 1 (- (acos a))) a)) (log (* (/ 1 (- (acos 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(acos a)))) a) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (* (/ 1 (- (cbrt (acos a)))) a) (/ (/ 1 (sqrt (acos a))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ 1 (- (sqrt (acos a)))) (cbrt (/ 1 a))) (/ 1 (* (sqrt (/ 1 a)) (sqrt (acos a)))) (/ 1 (* (sqrt (/ 1 a)) (- (sqrt (acos 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))) (* (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))) (* (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 (* (sqrt (/ 1 a)) (- (acos 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 (* (sqrt (/ 1 a)) (- (acos 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 (* (sqrt (/ 1 a)) (- (acos 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 (* (/ 1 a) (- (acos a))) (/ (/ (/ 1 (- (acos a))) (cbrt (/ 1 a))) (cbrt (/ 1 a))) (/ 1 (* (sqrt (/ 1 a)) (- (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))) (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 a) (sqrt (/ 1 (- (acos a))))) (* (/ 1 a) (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) (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) (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 a) (- (acos a))) (/ 1 (- (acos a))) (/ (- (acos a)) a) -1 (- (log (- (acos a)))) (- (log (- (acos a)))) (- (log (- (acos a)))) (- (log (- (acos a)))) (exp (/ 1 (- (acos a)))) (/ 1 (- (* (acos a) (* (acos a) (acos a))))) (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (cbrt (/ 1 (- (acos a)))) (/ (/ (/ 1 (- (acos a))) (- (acos a))) (- (acos a))) (sqrt (/ 1 (- (acos a)))) (sqrt (/ 1 (- (acos a)))) -1 (acos a) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) 1 (/ 1 (- (acos a))) -1 (/ 1 (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ 1 (sqrt (acos a))) -1 (/ 1 (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) 1 (/ 1 (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) 1 (/ 1 (- (acos a))) -1 (/ 1 (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ 1 (sqrt (acos a))) -1 (/ 1 (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) 1 (/ 1 (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) 1 (/ 1 (- (acos a))) -1 (/ 1 (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ 1 (sqrt (acos a))) -1 (/ 1 (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) 1 (/ 1 (- (acos a))) (/ 1 (- (acos a))) (- (acos a)) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (sqrt (- (acos a)))) 1 -1 (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (- (sqrt (acos a)))) -1 (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (sqrt (acos a))) 1 (- (acos a)) (- (acos a)) (- (acos a)) (/ (- a) (acos a)) (/ (- a) (acos a)) (/ (- a) (acos a)) (/ -1 (acos a)) (/ -1 (acos a)) (/ -1 (acos a)) 7.027 * * * [progress]: adding candidates to table 8.038 * * [progress]: iteration 4 / 4 8.038 * * * [progress]: picking best candidate 8.058 * * * * [pick]: Picked # 8.058 * * * [progress]: localizing error 8.098 * * * [progress]: generating rewritten candidates 8.098 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 1) 8.124 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 8.140 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 8.192 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1 2) 8.242 * * * [progress]: generating series expansions 8.242 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 1) 8.243 * [backup-simplify]: Simplify (* (acos a) (* (acos a) (acos a))) into (pow (acos a) 3) 8.243 * [approximate]: Taking taylor expansion of (pow (acos a) 3) in (a) around 0 8.243 * [taylor]: Taking taylor expansion of (pow (acos a) 3) in a 8.243 * [taylor]: Taking taylor expansion of (acos a) in a 8.243 * [backup-simplify]: Simplify (acos a) into (acos a) 8.243 * [taylor]: Taking taylor expansion of (pow (acos a) 3) in a 8.243 * [taylor]: Taking taylor expansion of (acos a) in a 8.243 * [backup-simplify]: Simplify (acos a) into (acos a) 8.243 * [backup-simplify]: Simplify (* (acos a) (acos a)) into (pow (acos a) 2) 8.243 * [backup-simplify]: Simplify (* (acos a) (pow (acos a) 2)) into (pow (acos a) 3) 8.243 * [backup-simplify]: Simplify (pow (acos a) 3) into (pow (acos a) 3) 8.243 * [backup-simplify]: Simplify (+ (* (acos a) 0) (* 0 (acos a))) into 0 8.243 * [backup-simplify]: Simplify (+ (* (acos a) 0) (* 0 (pow (acos a) 2))) into 0 8.243 * [backup-simplify]: Simplify 0 into 0 8.244 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (* 0 (acos a)))) into 0 8.244 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (* 0 (pow (acos a) 2)))) into 0 8.244 * [backup-simplify]: Simplify 0 into 0 8.245 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))) into 0 8.246 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos a) 2))))) into 0 8.246 * [backup-simplify]: Simplify 0 into 0 8.246 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))) into 0 8.247 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos a) 2)))))) into 0 8.247 * [backup-simplify]: Simplify 0 into 0 8.248 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))))) into 0 8.249 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos a) 2))))))) into 0 8.250 * [backup-simplify]: Simplify 0 into 0 8.251 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))))) into 0 8.252 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos a) 2)))))))) into 0 8.252 * [backup-simplify]: Simplify 0 into 0 8.252 * [backup-simplify]: Simplify (pow (acos a) 3) into (pow (acos a) 3) 8.252 * [backup-simplify]: Simplify (* (acos (/ 1 a)) (* (acos (/ 1 a)) (acos (/ 1 a)))) into (pow (acos (/ 1 a)) 3) 8.252 * [approximate]: Taking taylor expansion of (pow (acos (/ 1 a)) 3) in (a) around 0 8.252 * [taylor]: Taking taylor expansion of (pow (acos (/ 1 a)) 3) in a 8.252 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 8.252 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 8.252 * [taylor]: Taking taylor expansion of (pow (acos (/ 1 a)) 3) in a 8.252 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 8.253 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 8.253 * [backup-simplify]: Simplify (* (acos (/ 1 a)) (acos (/ 1 a))) into (pow (acos (/ 1 a)) 2) 8.253 * [backup-simplify]: Simplify (* (acos (/ 1 a)) (pow (acos (/ 1 a)) 2)) into (pow (acos (/ 1 a)) 3) 8.253 * [backup-simplify]: Simplify (pow (acos (/ 1 a)) 3) into (pow (acos (/ 1 a)) 3) 8.253 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (* 0 (acos (/ 1 a)))) into 0 8.253 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (* 0 (pow (acos (/ 1 a)) 2))) into 0 8.253 * [backup-simplify]: Simplify 0 into 0 8.254 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))) into 0 8.254 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (* 0 (pow (acos (/ 1 a)) 2)))) into 0 8.254 * [backup-simplify]: Simplify 0 into 0 8.255 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 8.256 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos (/ 1 a)) 2))))) into 0 8.256 * [backup-simplify]: Simplify 0 into 0 8.256 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 8.257 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos (/ 1 a)) 2)))))) into 0 8.257 * [backup-simplify]: Simplify 0 into 0 8.259 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 8.260 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos (/ 1 a)) 2))))))) into 0 8.260 * [backup-simplify]: Simplify 0 into 0 8.262 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 8.265 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos (/ 1 a)) 2)))))))) into 0 8.265 * [backup-simplify]: Simplify 0 into 0 8.265 * [backup-simplify]: Simplify (pow (acos (/ 1 (/ 1 a))) 3) into (pow (acos a) 3) 8.265 * [backup-simplify]: Simplify (* (acos (/ 1 (- a))) (* (acos (/ 1 (- a))) (acos (/ 1 (- a))))) into (pow (acos (/ -1 a)) 3) 8.265 * [approximate]: Taking taylor expansion of (pow (acos (/ -1 a)) 3) in (a) around 0 8.265 * [taylor]: Taking taylor expansion of (pow (acos (/ -1 a)) 3) in a 8.265 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 8.265 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 8.266 * [taylor]: Taking taylor expansion of (pow (acos (/ -1 a)) 3) in a 8.266 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 8.266 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 8.266 * [backup-simplify]: Simplify (* (acos (/ -1 a)) (acos (/ -1 a))) into (pow (acos (/ -1 a)) 2) 8.266 * [backup-simplify]: Simplify (* (acos (/ -1 a)) (pow (acos (/ -1 a)) 2)) into (pow (acos (/ -1 a)) 3) 8.266 * [backup-simplify]: Simplify (pow (acos (/ -1 a)) 3) into (pow (acos (/ -1 a)) 3) 8.266 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (* 0 (acos (/ -1 a)))) into 0 8.267 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (* 0 (pow (acos (/ -1 a)) 2))) into 0 8.267 * [backup-simplify]: Simplify 0 into 0 8.268 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))) into 0 8.269 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (* 0 (pow (acos (/ -1 a)) 2)))) into 0 8.269 * [backup-simplify]: Simplify 0 into 0 8.270 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 8.272 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos (/ -1 a)) 2))))) into 0 8.272 * [backup-simplify]: Simplify 0 into 0 8.273 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 8.275 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos (/ -1 a)) 2)))))) into 0 8.275 * [backup-simplify]: Simplify 0 into 0 8.277 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 8.279 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos (/ -1 a)) 2))))))) into 0 8.279 * [backup-simplify]: Simplify 0 into 0 8.281 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 8.283 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (acos (/ -1 a)) 2)))))))) into 0 8.283 * [backup-simplify]: Simplify 0 into 0 8.284 * [backup-simplify]: Simplify (pow (acos (/ -1 (/ 1 (- a)))) 3) into (pow (acos a) 3) 8.284 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 8.284 * [backup-simplify]: Simplify (cbrt (/ 1 (- (* (acos a) (* (acos a) (acos a)))))) into (/ (cbrt -1) (acos a)) 8.284 * [approximate]: Taking taylor expansion of (/ (cbrt -1) (acos a)) in (a) around 0 8.284 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (acos a)) in a 8.284 * [taylor]: Taking taylor expansion of (cbrt -1) in a 8.284 * [taylor]: Taking taylor expansion of -1 in a 8.284 * [backup-simplify]: Simplify -1 into -1 8.284 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.285 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.285 * [taylor]: Taking taylor expansion of (acos a) in a 8.285 * [backup-simplify]: Simplify (acos a) into (acos a) 8.285 * [backup-simplify]: Simplify (/ (cbrt -1) (acos a)) into (/ (cbrt -1) (acos a)) 8.285 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (acos a)) in a 8.285 * [taylor]: Taking taylor expansion of (cbrt -1) in a 8.286 * [taylor]: Taking taylor expansion of -1 in a 8.286 * [backup-simplify]: Simplify -1 into -1 8.286 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.286 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.286 * [taylor]: Taking taylor expansion of (acos a) in a 8.286 * [backup-simplify]: Simplify (acos a) into (acos a) 8.287 * [backup-simplify]: Simplify (/ (cbrt -1) (acos a)) into (/ (cbrt -1) (acos a)) 8.287 * [backup-simplify]: Simplify (/ (cbrt -1) (acos a)) into (/ (cbrt -1) (acos a)) 8.288 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))))) into 0 8.288 * [backup-simplify]: Simplify 0 into 0 8.289 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.290 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 8.290 * [backup-simplify]: Simplify 0 into 0 8.291 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 8.291 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 8.291 * [backup-simplify]: Simplify 0 into 0 8.292 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.293 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 8.293 * [backup-simplify]: Simplify 0 into 0 8.294 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 8.295 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 8.295 * [backup-simplify]: Simplify 0 into 0 8.296 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.297 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -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 8.297 * [backup-simplify]: Simplify 0 into 0 8.298 * [backup-simplify]: Simplify (/ (cbrt -1) (acos a)) into (/ (cbrt -1) (acos a)) 8.298 * [backup-simplify]: Simplify (cbrt (/ 1 (- (* (acos (/ 1 a)) (* (acos (/ 1 a)) (acos (/ 1 a))))))) into (/ (cbrt -1) (acos (/ 1 a))) 8.298 * [approximate]: Taking taylor expansion of (/ (cbrt -1) (acos (/ 1 a))) in (a) around 0 8.298 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (acos (/ 1 a))) in a 8.298 * [taylor]: Taking taylor expansion of (cbrt -1) in a 8.298 * [taylor]: Taking taylor expansion of -1 in a 8.298 * [backup-simplify]: Simplify -1 into -1 8.298 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.299 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.299 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 8.299 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 8.299 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ 1 a))) into (/ (cbrt -1) (acos (/ 1 a))) 8.299 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (acos (/ 1 a))) in a 8.299 * [taylor]: Taking taylor expansion of (cbrt -1) in a 8.299 * [taylor]: Taking taylor expansion of -1 in a 8.299 * [backup-simplify]: Simplify -1 into -1 8.300 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.300 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.300 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 8.300 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 8.301 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ 1 a))) into (/ (cbrt -1) (acos (/ 1 a))) 8.301 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ 1 a))) into (/ (cbrt -1) (acos (/ 1 a))) 8.302 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -1) (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 8.302 * [backup-simplify]: Simplify 0 into 0 8.303 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.303 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -1) (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 8.303 * [backup-simplify]: Simplify 0 into 0 8.304 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 8.305 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -1) (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 8.305 * [backup-simplify]: Simplify 0 into 0 8.306 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.307 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -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 8.307 * [backup-simplify]: Simplify 0 into 0 8.308 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 8.309 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -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 8.309 * [backup-simplify]: Simplify 0 into 0 8.310 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.311 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -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 8.311 * [backup-simplify]: Simplify 0 into 0 8.312 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ 1 (/ 1 a)))) into (/ (cbrt -1) (acos a)) 8.312 * [backup-simplify]: Simplify (cbrt (/ 1 (- (* (acos (/ 1 (- a))) (* (acos (/ 1 (- a))) (acos (/ 1 (- a)))))))) into (/ (cbrt -1) (acos (/ -1 a))) 8.312 * [approximate]: Taking taylor expansion of (/ (cbrt -1) (acos (/ -1 a))) in (a) around 0 8.312 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (acos (/ -1 a))) in a 8.312 * [taylor]: Taking taylor expansion of (cbrt -1) in a 8.312 * [taylor]: Taking taylor expansion of -1 in a 8.312 * [backup-simplify]: Simplify -1 into -1 8.312 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.313 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.313 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 8.313 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 8.313 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ -1 a))) into (/ (cbrt -1) (acos (/ -1 a))) 8.313 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (acos (/ -1 a))) in a 8.313 * [taylor]: Taking taylor expansion of (cbrt -1) in a 8.313 * [taylor]: Taking taylor expansion of -1 in a 8.313 * [backup-simplify]: Simplify -1 into -1 8.314 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.314 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.314 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 8.314 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 8.315 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ -1 a))) into (/ (cbrt -1) (acos (/ -1 a))) 8.315 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ -1 a))) into (/ (cbrt -1) (acos (/ -1 a))) 8.316 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -1) (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 8.316 * [backup-simplify]: Simplify 0 into 0 8.318 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.320 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -1) (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 8.320 * [backup-simplify]: Simplify 0 into 0 8.321 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 8.322 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -1) (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 8.323 * [backup-simplify]: Simplify 0 into 0 8.324 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.326 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -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 8.326 * [backup-simplify]: Simplify 0 into 0 8.328 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 8.329 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -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 8.329 * [backup-simplify]: Simplify 0 into 0 8.331 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.333 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -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 8.333 * [backup-simplify]: Simplify 0 into 0 8.334 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ -1 (/ 1 (- a))))) into (/ (cbrt -1) (acos a)) 8.334 * * * * [progress]: [ 3 / 4 ] generating series at (2) 8.334 * [backup-simplify]: Simplify (/ (cbrt (/ 1 (- (* (acos a) (* (acos a) (acos a)))))) (/ 1 a)) into (/ (* (cbrt -1) a) (acos a)) 8.334 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) a) (acos a)) in (a) around 0 8.334 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) a) (acos a)) in a 8.334 * [taylor]: Taking taylor expansion of (* (cbrt -1) a) in a 8.334 * [taylor]: Taking taylor expansion of (cbrt -1) in a 8.334 * [taylor]: Taking taylor expansion of -1 in a 8.334 * [backup-simplify]: Simplify -1 into -1 8.335 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.336 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.336 * [taylor]: Taking taylor expansion of a in a 8.336 * [backup-simplify]: Simplify 0 into 0 8.336 * [backup-simplify]: Simplify 1 into 1 8.336 * [taylor]: Taking taylor expansion of (acos a) in a 8.336 * [backup-simplify]: Simplify (acos a) into (acos a) 8.337 * [backup-simplify]: Simplify (* (cbrt -1) 0) into 0 8.340 * [backup-simplify]: Simplify (+ (* (cbrt -1) 1) (* 0 0)) into (cbrt -1) 8.340 * [backup-simplify]: Simplify (/ (cbrt -1) (acos a)) into (/ (cbrt -1) (acos a)) 8.340 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) a) (acos a)) in a 8.340 * [taylor]: Taking taylor expansion of (* (cbrt -1) a) in a 8.340 * [taylor]: Taking taylor expansion of (cbrt -1) in a 8.340 * [taylor]: Taking taylor expansion of -1 in a 8.340 * [backup-simplify]: Simplify -1 into -1 8.341 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.342 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.342 * [taylor]: Taking taylor expansion of a in a 8.342 * [backup-simplify]: Simplify 0 into 0 8.342 * [backup-simplify]: Simplify 1 into 1 8.342 * [taylor]: Taking taylor expansion of (acos a) in a 8.342 * [backup-simplify]: Simplify (acos a) into (acos a) 8.343 * [backup-simplify]: Simplify (* (cbrt -1) 0) into 0 8.346 * [backup-simplify]: Simplify (+ (* (cbrt -1) 1) (* 0 0)) into (cbrt -1) 8.346 * [backup-simplify]: Simplify (/ (cbrt -1) (acos a)) into (/ (cbrt -1) (acos a)) 8.347 * [backup-simplify]: Simplify (/ (cbrt -1) (acos a)) into (/ (cbrt -1) (acos a)) 8.349 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.350 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 1) (* 0 0))) into 0 8.351 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))))) into 0 8.351 * [backup-simplify]: Simplify 0 into 0 8.353 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 8.354 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.355 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 8.355 * [backup-simplify]: Simplify 0 into 0 8.357 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.359 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.360 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 8.360 * [backup-simplify]: Simplify 0 into 0 8.362 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 8.364 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 8.365 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 8.365 * [backup-simplify]: Simplify 0 into 0 8.367 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.370 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 8.371 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -1) (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 8.371 * [backup-simplify]: Simplify 0 into 0 8.373 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 8.376 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 8.377 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ (cbrt -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 8.377 * [backup-simplify]: Simplify 0 into 0 8.382 * [backup-simplify]: Simplify (* (/ (cbrt -1) (acos a)) a) into (/ (* (cbrt -1) a) (acos a)) 8.383 * [backup-simplify]: Simplify (/ (cbrt (/ 1 (- (* (acos (/ 1 a)) (* (acos (/ 1 a)) (acos (/ 1 a))))))) (/ 1 (/ 1 a))) into (/ (cbrt -1) (* a (acos (/ 1 a)))) 8.383 * [approximate]: Taking taylor expansion of (/ (cbrt -1) (* a (acos (/ 1 a)))) in (a) around 0 8.383 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (* a (acos (/ 1 a)))) in a 8.383 * [taylor]: Taking taylor expansion of (cbrt -1) in a 8.383 * [taylor]: Taking taylor expansion of -1 in a 8.383 * [backup-simplify]: Simplify -1 into -1 8.384 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.385 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.385 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 8.385 * [taylor]: Taking taylor expansion of a in a 8.385 * [backup-simplify]: Simplify 0 into 0 8.385 * [backup-simplify]: Simplify 1 into 1 8.385 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 8.385 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 8.385 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 8.386 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 8.386 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ 1 a))) into (/ (cbrt -1) (acos (/ 1 a))) 8.387 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (* a (acos (/ 1 a)))) in a 8.387 * [taylor]: Taking taylor expansion of (cbrt -1) in a 8.387 * [taylor]: Taking taylor expansion of -1 in a 8.387 * [backup-simplify]: Simplify -1 into -1 8.387 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.388 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.388 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 8.388 * [taylor]: Taking taylor expansion of a in a 8.388 * [backup-simplify]: Simplify 0 into 0 8.388 * [backup-simplify]: Simplify 1 into 1 8.388 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 8.388 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 8.388 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 8.389 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 8.390 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ 1 a))) into (/ (cbrt -1) (acos (/ 1 a))) 8.390 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ 1 a))) into (/ (cbrt -1) (acos (/ 1 a))) 8.391 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 8.392 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -1) (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 8.392 * [backup-simplify]: Simplify 0 into 0 8.394 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.395 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 8.396 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -1) (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 8.396 * [backup-simplify]: Simplify 0 into 0 8.397 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 8.399 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 8.400 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -1) (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 8.400 * [backup-simplify]: Simplify 0 into 0 8.402 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.404 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 8.405 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -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 8.405 * [backup-simplify]: Simplify 0 into 0 8.407 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 8.409 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 8.409 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -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 8.409 * [backup-simplify]: Simplify 0 into 0 8.411 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.412 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 8.413 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ (cbrt -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 8.413 * [backup-simplify]: Simplify 0 into 0 8.414 * [backup-simplify]: Simplify (* (/ (cbrt -1) (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (/ (* (cbrt -1) a) (acos a)) 8.414 * [backup-simplify]: Simplify (/ (cbrt (/ 1 (- (* (acos (/ 1 (- a))) (* (acos (/ 1 (- a))) (acos (/ 1 (- a)))))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ (cbrt -1) (* a (acos (/ -1 a))))) 8.414 * [approximate]: Taking taylor expansion of (* -1 (/ (cbrt -1) (* a (acos (/ -1 a))))) in (a) around 0 8.414 * [taylor]: Taking taylor expansion of (* -1 (/ (cbrt -1) (* a (acos (/ -1 a))))) in a 8.414 * [taylor]: Taking taylor expansion of -1 in a 8.414 * [backup-simplify]: Simplify -1 into -1 8.414 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (* a (acos (/ -1 a)))) in a 8.414 * [taylor]: Taking taylor expansion of (cbrt -1) in a 8.414 * [taylor]: Taking taylor expansion of -1 in a 8.414 * [backup-simplify]: Simplify -1 into -1 8.415 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.415 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.415 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 8.415 * [taylor]: Taking taylor expansion of a in a 8.415 * [backup-simplify]: Simplify 0 into 0 8.415 * [backup-simplify]: Simplify 1 into 1 8.415 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 8.415 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 8.415 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 8.416 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 8.416 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ -1 a))) into (/ (cbrt -1) (acos (/ -1 a))) 8.416 * [taylor]: Taking taylor expansion of (* -1 (/ (cbrt -1) (* a (acos (/ -1 a))))) in a 8.416 * [taylor]: Taking taylor expansion of -1 in a 8.416 * [backup-simplify]: Simplify -1 into -1 8.416 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (* a (acos (/ -1 a)))) in a 8.416 * [taylor]: Taking taylor expansion of (cbrt -1) in a 8.416 * [taylor]: Taking taylor expansion of -1 in a 8.416 * [backup-simplify]: Simplify -1 into -1 8.417 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.417 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.417 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 8.417 * [taylor]: Taking taylor expansion of a in a 8.417 * [backup-simplify]: Simplify 0 into 0 8.417 * [backup-simplify]: Simplify 1 into 1 8.417 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 8.417 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 8.417 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 8.418 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 8.418 * [backup-simplify]: Simplify (/ (cbrt -1) (acos (/ -1 a))) into (/ (cbrt -1) (acos (/ -1 a))) 8.419 * [backup-simplify]: Simplify (* -1 (/ (cbrt -1) (acos (/ -1 a)))) into (* -1 (/ (cbrt -1) (acos (/ -1 a)))) 8.419 * [backup-simplify]: Simplify (* -1 (/ (cbrt -1) (acos (/ -1 a)))) into (* -1 (/ (cbrt -1) (acos (/ -1 a)))) 8.420 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 8.421 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -1) (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 8.421 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (cbrt -1) (acos (/ -1 a))))) into 0 8.421 * [backup-simplify]: Simplify 0 into 0 8.422 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.423 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 8.424 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -1) (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 8.425 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (cbrt -1) (acos (/ -1 a)))))) into 0 8.425 * [backup-simplify]: Simplify 0 into 0 8.426 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 8.427 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 8.428 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -1) (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 8.429 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cbrt -1) (acos (/ -1 a))))))) into 0 8.429 * [backup-simplify]: Simplify 0 into 0 8.430 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.431 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 8.432 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -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 8.434 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cbrt -1) (acos (/ -1 a)))))))) into 0 8.434 * [backup-simplify]: Simplify 0 into 0 8.435 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 8.436 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 8.437 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -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 8.439 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cbrt -1) (acos (/ -1 a))))))))) into 0 8.439 * [backup-simplify]: Simplify 0 into 0 8.441 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.444 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 8.446 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ (cbrt -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 8.449 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cbrt -1) (acos (/ -1 a)))))))))) into 0 8.449 * [backup-simplify]: Simplify 0 into 0 8.450 * [backup-simplify]: Simplify (* (* -1 (/ (cbrt -1) (acos (/ -1 (/ 1 (- a)))))) (/ 1 (/ 1 (- a)))) into (/ (* (cbrt -1) a) (acos a)) 8.450 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1 2) 8.450 * [backup-simplify]: Simplify (* (acos a) (acos a)) into (pow (acos a) 2) 8.450 * [approximate]: Taking taylor expansion of (pow (acos a) 2) in (a) around 0 8.450 * [taylor]: Taking taylor expansion of (pow (acos a) 2) in a 8.450 * [taylor]: Taking taylor expansion of (acos a) in a 8.450 * [backup-simplify]: Simplify (acos a) into (acos a) 8.451 * [taylor]: Taking taylor expansion of (pow (acos a) 2) in a 8.451 * [taylor]: Taking taylor expansion of (acos a) in a 8.451 * [backup-simplify]: Simplify (acos a) into (acos a) 8.451 * [backup-simplify]: Simplify (* (acos a) (acos a)) into (pow (acos a) 2) 8.451 * [backup-simplify]: Simplify (pow (acos a) 2) into (pow (acos a) 2) 8.451 * [backup-simplify]: Simplify (+ (* (acos a) 0) (* 0 (acos a))) into 0 8.451 * [backup-simplify]: Simplify 0 into 0 8.452 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (* 0 (acos a)))) into 0 8.452 * [backup-simplify]: Simplify 0 into 0 8.453 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))) into 0 8.453 * [backup-simplify]: Simplify 0 into 0 8.455 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))) into 0 8.455 * [backup-simplify]: Simplify 0 into 0 8.457 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))))) into 0 8.457 * [backup-simplify]: Simplify 0 into 0 8.459 * [backup-simplify]: Simplify (+ (* (acos a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))))) into 0 8.459 * [backup-simplify]: Simplify 0 into 0 8.459 * [backup-simplify]: Simplify (pow (acos a) 2) into (pow (acos a) 2) 8.459 * [backup-simplify]: Simplify (* (acos (/ 1 a)) (acos (/ 1 a))) into (pow (acos (/ 1 a)) 2) 8.459 * [approximate]: Taking taylor expansion of (pow (acos (/ 1 a)) 2) in (a) around 0 8.459 * [taylor]: Taking taylor expansion of (pow (acos (/ 1 a)) 2) in a 8.459 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 8.460 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 8.460 * [taylor]: Taking taylor expansion of (pow (acos (/ 1 a)) 2) in a 8.460 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 8.460 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 8.460 * [backup-simplify]: Simplify (* (acos (/ 1 a)) (acos (/ 1 a))) into (pow (acos (/ 1 a)) 2) 8.460 * [backup-simplify]: Simplify (pow (acos (/ 1 a)) 2) into (pow (acos (/ 1 a)) 2) 8.460 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (* 0 (acos (/ 1 a)))) into 0 8.460 * [backup-simplify]: Simplify 0 into 0 8.461 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))) into 0 8.461 * [backup-simplify]: Simplify 0 into 0 8.462 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 8.462 * [backup-simplify]: Simplify 0 into 0 8.464 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 8.464 * [backup-simplify]: Simplify 0 into 0 8.466 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 8.466 * [backup-simplify]: Simplify 0 into 0 8.468 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 8.468 * [backup-simplify]: Simplify 0 into 0 8.469 * [backup-simplify]: Simplify (pow (acos (/ 1 (/ 1 a))) 2) into (pow (acos a) 2) 8.469 * [backup-simplify]: Simplify (* (acos (/ 1 (- a))) (acos (/ 1 (- a)))) into (pow (acos (/ -1 a)) 2) 8.469 * [approximate]: Taking taylor expansion of (pow (acos (/ -1 a)) 2) in (a) around 0 8.469 * [taylor]: Taking taylor expansion of (pow (acos (/ -1 a)) 2) in a 8.469 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 8.469 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 8.469 * [taylor]: Taking taylor expansion of (pow (acos (/ -1 a)) 2) in a 8.469 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 8.470 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 8.470 * [backup-simplify]: Simplify (* (acos (/ -1 a)) (acos (/ -1 a))) into (pow (acos (/ -1 a)) 2) 8.470 * [backup-simplify]: Simplify (pow (acos (/ -1 a)) 2) into (pow (acos (/ -1 a)) 2) 8.470 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (* 0 (acos (/ -1 a)))) into 0 8.470 * [backup-simplify]: Simplify 0 into 0 8.471 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))) into 0 8.471 * [backup-simplify]: Simplify 0 into 0 8.472 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 8.472 * [backup-simplify]: Simplify 0 into 0 8.474 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 8.474 * [backup-simplify]: Simplify 0 into 0 8.476 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 8.476 * [backup-simplify]: Simplify 0 into 0 8.478 * [backup-simplify]: Simplify (+ (* (acos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 8.478 * [backup-simplify]: Simplify 0 into 0 8.479 * [backup-simplify]: Simplify (pow (acos (/ -1 (/ 1 (- a)))) 2) into (pow (acos a) 2) 8.479 * * * [progress]: simplifying candidates 8.496 * [simplify]: Simplifying: (+ 1 (+ 1 1)) (+ 1 2) (+ 1 (+ 1 1)) (+ 1 (* 2 1)) (* (acos a) (* (acos a) (acos a))) (* (acos a) (* (acos a) (acos a))) (+ (log (acos a)) (+ (log (acos a)) (log (acos a)))) (+ (log (acos a)) (log (* (acos a) (acos a)))) (log (* (acos a) (* (acos a) (acos a)))) (exp (* (acos a) (* (acos a) (acos a)))) (* (* (* (acos a) (acos a)) (acos a)) (* (* (* (acos a) (acos a)) (acos a)) (* (* (acos a) (acos a)) (acos a)))) (* (* (* (acos a) (acos a)) (acos a)) (* (* (* (acos a) (acos a)) (* (acos a) (acos a))) (* (acos a) (acos a)))) (* (cbrt (* (acos a) (* (acos a) (acos a)))) (cbrt (* (acos a) (* (acos a) (acos a))))) (cbrt (* (acos a) (* (acos a) (acos a)))) (* (* (* (acos a) (* (acos a) (acos a))) (* (acos a) (* (acos a) (acos a)))) (* (acos a) (* (acos a) (acos a)))) (sqrt (* (acos a) (* (acos a) (acos a)))) (sqrt (* (acos a) (* (acos a) (acos a)))) (* (sqrt (acos a)) (acos a)) (* (sqrt (acos a)) (acos a)) (* (acos a) (acos a)) (* (cbrt (acos a)) (* (acos a) (acos a))) (* (sqrt (acos a)) (* (acos a) (acos a))) (* (acos a) (* (acos a) (acos a))) (log (cbrt (/ 1 (- (* (acos a) (* (acos a) (acos a))))))) (exp (cbrt (/ 1 (- (* (acos a) (* (acos a) (acos a))))))) (cbrt (* (cbrt (/ 1 (- (* (acos a) (* (acos a) (acos a)))))) (cbrt (/ 1 (- (* (acos a) (* (acos a) (acos a)))))))) (cbrt (cbrt (/ 1 (- (* (acos a) (* (acos a) (acos a))))))) (cbrt (sqrt (/ 1 (- (* (acos a) (* (acos a) (acos a))))))) (cbrt (sqrt (/ 1 (- (* (acos a) (* (acos a) (acos a))))))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- (* (acos a) (* (acos a) (acos a))))) (cbrt (- (* (acos a) (* (acos a) (acos a)))))))) (cbrt (/ (cbrt 1) (cbrt (- (* (acos a) (* (acos a) (acos a))))))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (sqrt (- (* (acos a) (* (acos a) (acos a))))))) (cbrt (/ (cbrt 1) (sqrt (- (* (acos a) (* (acos a) (acos a))))))) (cbrt (/ (* (cbrt 1) (cbrt 1)) 1)) (cbrt (/ (cbrt 1) (- (* (acos a) (* (acos a) (acos a)))))) (cbrt (/ (* (cbrt 1) (cbrt 1)) -1)) (cbrt (/ (cbrt 1) (* (acos a) (* (acos a) (acos a))))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (- (acos a)))) (cbrt (/ (cbrt 1) (* (acos a) (acos a)))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (acos a))) (cbrt (/ (cbrt 1) (- (* (acos a) (acos a))))) (cbrt (/ (sqrt 1) (* (cbrt (- (* (acos a) (* (acos a) (acos a))))) (cbrt (- (* (acos a) (* (acos a) (acos a)))))))) (cbrt (/ (sqrt 1) (cbrt (- (* (acos a) (* (acos a) (acos a))))))) (cbrt (/ (sqrt 1) (sqrt (- (* (acos a) (* (acos a) (acos a))))))) (cbrt (/ (sqrt 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5000 enodes 9.588 * * [simplify]: Extracting #0: cost 169 inf + 0 9.600 * * [simplify]: Extracting #1: cost 1365 inf + 4 9.614 * * [simplify]: Extracting #2: cost 1481 inf + 29454 9.647 * * [simplify]: Extracting #3: cost 931 inf + 138353 9.686 * * [simplify]: Extracting #4: cost 505 inf + 257692 9.740 * * [simplify]: Extracting #5: cost 140 inf + 409235 9.822 * * [simplify]: Extracting #6: cost 0 inf + 472795 9.950 * [simplify]: Simplified to: 3 3 3 3 (* (* (acos a) (acos a)) (acos a)) (* (* (acos a) (acos a)) (acos a)) (* 3 (log (acos a))) (* 3 (log (acos a))) (* 3 (log (acos a))) (exp (* (* (acos a) (acos a)) (acos a))) (* (* (* (* (acos a) (acos a)) (acos a)) (* (* (acos a) (acos a)) (acos a))) (* (* (acos a) (acos a)) (acos a))) (* (* (* (* (acos a) (acos a)) (acos a)) (* (acos a) (acos a))) (* (* (acos a) (acos a)) (* (acos a) (acos a)))) (* (acos a) (acos a)) (acos a) (* (* (* (* (acos a) (acos a)) (acos a)) (* (* (acos a) (acos a)) (acos a))) (* (* (acos a) (acos a)) (acos a))) 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(* (acos a) (acos a)) (* (* (acos a) (acos a)) (* (acos a) (acos a)))) (fabs (acos a)) (fabs (acos a)) (* (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt (acos a)) (cbrt (acos a))) (acos a) (acos a) 1 (* (acos a) (acos a)) (acos a) (acos a) 2 (* (acos a) (* (cbrt (acos a)) (cbrt (acos a)))) (* (acos a) (sqrt (acos a))) (acos a) (* (acos a) (cbrt (acos a))) (* (acos a) (sqrt (acos a))) (* (acos a) (acos a)) (* (* (acos a) (acos a)) (acos a)) (* (* (acos a) (acos a)) (acos a)) (* (* (acos a) (acos a)) (acos a)) (/ (cbrt -1) (acos a)) (/ (cbrt -1) (acos a)) (/ (cbrt -1) (acos a)) (/ (cbrt -1) (/ (acos a) a)) (/ (cbrt -1) (/ (acos a) a)) (/ (cbrt -1) (/ (acos a) a)) (* (acos a) (acos a)) (* (acos a) (acos a)) (* (acos a) (acos a)) 10.057 * * * [progress]: adding candidates to table 11.955 * [progress]: [Phase 3 of 3] Extracting. 11.955 * * [regime]: Finding splitpoints for: (# # # # #) 11.957 * * * [regime-changes]: Trying 2 branch expressions: ((/ a (- (acos a))) a) 11.957 * * * * [regimes]: Trying to branch on (/ a (- (acos a))) from (# # # # #) 12.034 * * * * [regimes]: Trying to branch on a from (# # # # #) 12.099 * * * [regime]: Found split indices: #