9.922 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying using # : (/ a (- (acos a))) 0.022 * * [simplify]: iteration 0 : 4 enodes (cost 3 ) 0.023 * [simplify]: Simplified to: (/ a (- (acos a))) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.028 * * * [progress]: generating rewritten candidates 0.028 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.038 * * * [progress]: generating series expansions 0.038 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.038 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.038 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.038 * [taylor]: Taking taylor expansion of -1 in a 0.038 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.038 * [taylor]: Taking taylor expansion of a in a 0.038 * [taylor]: Taking taylor expansion of (acos a) in a 0.039 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.039 * [taylor]: Taking taylor expansion of -1 in a 0.039 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.039 * [taylor]: Taking taylor expansion of a in a 0.039 * [taylor]: Taking taylor expansion of (acos a) in a 0.046 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.046 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.046 * [taylor]: Taking taylor expansion of -1 in a 0.046 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.046 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.046 * [taylor]: Taking taylor expansion of a in a 0.047 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.047 * [taylor]: Taking taylor expansion of -1 in a 0.047 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.047 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.047 * [taylor]: Taking taylor expansion of a in a 0.053 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.053 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.053 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.053 * [taylor]: Taking taylor expansion of a in a 0.053 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.053 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.053 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.053 * [taylor]: Taking taylor expansion of a in a 0.053 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.062 * * * [progress]: simplifying candidates 0.063 * [simplify]: Simplifying using # : (expm1 (/ a (- (acos a)))) (log1p (/ a (- (acos a)))) (- (log a) (log (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (/ (* (* a a) a) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (* (* (/ a (- (acos a))) (/ a (- (acos a)))) (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (- a) (- (- (acos a))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) 1) (/ (cbrt a) (- (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt a) (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- 1)) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (/ (* (cbrt a) (cbrt a)) 1) (/ (cbrt a) (- (acos a))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) 1) (/ (sqrt a) (- (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- 1)) (/ (sqrt a) (acos a)) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) 1) (/ (sqrt a) (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ 1 1) (/ a (- (acos a))) (/ 1 -1) (/ a (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (/ 1 (- 1)) (/ a (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (/ 1 1) (/ a (- (acos a))) (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ a (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (sqrt (- (acos a)))) (/ a 1) (/ a -1) (/ a (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (- (sqrt (acos a)))) (/ a (- 1)) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) (/ a 1) (/ (- (acos a)) (cbrt a)) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) a) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 0.067 * * [simplify]: iteration 0 : 166 enodes (cost 384 ) 0.070 * * [simplify]: iteration 1 : 493 enodes (cost 372 ) 0.077 * * [simplify]: iteration 2 : 1442 enodes (cost 367 ) 0.097 * * [simplify]: iteration 3 : 3704 enodes (cost 366 ) 0.153 * * [simplify]: iteration 4 : 5002 enodes (cost 366 ) 0.156 * [simplify]: Simplified to: (expm1 (/ a (- (acos a)))) (log1p (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (pow (/ a (- (acos a))) 3) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (pow (/ a (- (acos a))) 3) (sqrt (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (* -1 a) (acos a) (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt a) (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (sqrt a) (/ (sqrt a) (- (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (sqrt a) (/ (sqrt a) (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) 1 (* -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 (* -1 (/ a (acos a))) (/ -1 (acos a)) (/ (- (acos a)) a) (/ a (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (sqrt (- (acos a)))) a (* -1 a) (/ a (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (- (sqrt (acos a)))) (* -1 a) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) a (/ (- (acos a)) (cbrt a)) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) a) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 0.157 * * * [progress]: adding candidates to table 0.241 * * [progress]: iteration 2 / 4 0.241 * * * [progress]: picking best candidate 0.253 * * * * [pick]: Picked # 0.253 * * * [progress]: localizing error 0.258 * * * [progress]: generating rewritten candidates 0.258 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.267 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.272 * * * [progress]: generating series expansions 0.272 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.272 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.272 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.272 * [taylor]: Taking taylor expansion of -1 in a 0.272 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.272 * [taylor]: Taking taylor expansion of a in a 0.272 * [taylor]: Taking taylor expansion of (acos a) in a 0.272 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.272 * [taylor]: Taking taylor expansion of -1 in a 0.272 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.273 * [taylor]: Taking taylor expansion of a in a 0.273 * [taylor]: Taking taylor expansion of (acos a) in a 0.280 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.280 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.280 * [taylor]: Taking taylor expansion of -1 in a 0.280 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.280 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.280 * [taylor]: Taking taylor expansion of a in a 0.280 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.280 * [taylor]: Taking taylor expansion of -1 in a 0.280 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.280 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.280 * [taylor]: Taking taylor expansion of a in a 0.286 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.286 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.286 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.286 * [taylor]: Taking taylor expansion of a in a 0.286 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.287 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.287 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.287 * [taylor]: Taking taylor expansion of a in a 0.287 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.296 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.296 * [approximate]: Taking taylor expansion of (/ -1 (acos a)) in (a) around 0 0.296 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 0.296 * [taylor]: Taking taylor expansion of -1 in a 0.296 * [taylor]: Taking taylor expansion of (acos a) in a 0.296 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 0.296 * [taylor]: Taking taylor expansion of -1 in a 0.296 * [taylor]: Taking taylor expansion of (acos a) in a 0.297 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in (a) around 0 0.297 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 0.297 * [taylor]: Taking taylor expansion of -1 in a 0.297 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.298 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 0.298 * [taylor]: Taking taylor expansion of -1 in a 0.298 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.299 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in (a) around 0 0.299 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 0.299 * [taylor]: Taking taylor expansion of -1 in a 0.299 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.299 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 0.299 * [taylor]: Taking taylor expansion of -1 in a 0.299 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.301 * * * [progress]: simplifying candidates 0.302 * [simplify]: Simplifying using # : (expm1 (* a (/ -1 (acos a)))) (log1p (* a (/ -1 (acos a)))) (* a (/ -1 (acos a))) (+ (log a) (- (log -1) (log (acos a)))) (+ (log a) (log (/ -1 (acos a)))) (log (* a (/ -1 (acos a)))) (exp (* a (/ -1 (acos a)))) (* (* (* a a) a) (/ (* (* -1 -1) -1) (* (* (acos a) (acos a)) (acos a)))) (* (* (* a a) a) (* (* (/ -1 (acos a)) (/ -1 (acos a))) (/ -1 (acos a)))) (* (cbrt (* a (/ -1 (acos a)))) (cbrt (* a (/ -1 (acos a))))) (cbrt (* a (/ -1 (acos a)))) (* (* (* a (/ -1 (acos a))) (* a (/ -1 (acos a)))) (* a (/ -1 (acos a)))) (sqrt (* a (/ -1 (acos a)))) (sqrt (* a (/ -1 (acos a)))) (* (sqrt a) (sqrt (/ -1 (acos a)))) (* (sqrt a) (sqrt (/ -1 (acos a)))) (* (sqrt a) (/ (sqrt -1) (sqrt (acos a)))) (* (sqrt a) (/ (sqrt -1) (sqrt (acos a)))) (* a (* (cbrt (/ -1 (acos a))) (cbrt (/ -1 (acos a))))) (* a (sqrt (/ -1 (acos a)))) (* a (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (acos a)) (cbrt (acos a))))) (* a (/ (* (cbrt -1) (cbrt -1)) (sqrt (acos a)))) (* a (/ (* (cbrt -1) (cbrt -1)) 1)) (* a (/ (sqrt -1) (* (cbrt (acos a)) (cbrt (acos a))))) (* a (/ (sqrt -1) (sqrt (acos a)))) (* a (/ (sqrt -1) 1)) (* a (/ 1 (* (cbrt (acos a)) (cbrt (acos a))))) (* a (/ 1 (sqrt (acos a)))) (* a (/ 1 1)) (* a 1) (* a -1) (* (cbrt a) (/ -1 (acos a))) (* (sqrt a) (/ -1 (acos a))) (* a (/ -1 (acos a))) (* a -1) (expm1 (/ -1 (acos a))) (log1p (/ -1 (acos a))) (- (log -1) (log (acos a))) (log (/ -1 (acos a))) (exp (/ -1 (acos a))) (/ (* (* -1 -1) -1) (* (* (acos a) (acos a)) (acos a))) (* (cbrt (/ -1 (acos a))) (cbrt (/ -1 (acos a)))) (cbrt (/ -1 (acos a))) (* (* (/ -1 (acos a)) (/ -1 (acos a))) (/ -1 (acos a))) (sqrt (/ -1 (acos a))) (sqrt (/ -1 (acos a))) (- -1) (- (acos a)) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt -1) (cbrt (acos a))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (acos a))) (/ (cbrt -1) (sqrt (acos a))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (acos a)) (/ (sqrt -1) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt -1) (cbrt (acos a))) (/ (sqrt -1) (sqrt (acos a))) (/ (sqrt -1) (sqrt (acos a))) (/ (sqrt -1) 1) (/ (sqrt -1) (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ -1 (cbrt (acos a))) (/ 1 (sqrt (acos a))) (/ -1 (sqrt (acos a))) (/ 1 1) (/ -1 (acos a)) (/ 1 (acos a)) (/ (acos a) -1) (/ -1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ -1 (sqrt (acos a))) (/ -1 1) (/ (acos a) (cbrt -1)) (/ (acos a) (sqrt -1)) (/ (acos a) -1) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (/ -1 (acos a)) (/ -1 (acos a)) (/ -1 (acos a)) 0.306 * * [simplify]: iteration 0 : 188 enodes (cost 323 ) 0.311 * * [simplify]: iteration 1 : 933 enodes (cost 296 ) 0.335 * * [simplify]: iteration 2 : 5002 enodes (cost 271 ) 0.337 * [simplify]: Simplified to: (expm1 (* a (/ -1 (acos a)))) (log1p (* a (/ -1 (acos a)))) (* -1 (/ a (acos a))) (log (* a (/ -1 (acos a)))) (log (* a (/ -1 (acos a)))) (log (* a (/ -1 (acos a)))) (exp (* a (/ -1 (acos a)))) (pow (* -1 (/ a (acos a))) 3) (pow (* -1 (/ a (acos a))) 3) (* (cbrt (* a (/ -1 (acos a)))) (cbrt (* a (/ -1 (acos a))))) (cbrt (* a (/ -1 (acos a)))) (pow (* -1 (/ a (acos a))) 3) (sqrt (* a (/ -1 (acos a)))) (sqrt (* a (/ -1 (acos a)))) (* (sqrt a) (sqrt (/ -1 (acos a)))) (* (sqrt a) (sqrt (/ -1 (acos a)))) (* (sqrt a) (/ (sqrt -1) (sqrt (acos a)))) (* (sqrt a) (/ (sqrt -1) (sqrt (acos a)))) (* a (* (cbrt (/ -1 (acos a))) (cbrt (/ -1 (acos a))))) (* a (sqrt (/ -1 (acos a)))) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) a (* a (/ (sqrt -1) (* (cbrt (acos a)) (cbrt (acos a))))) (* a (/ (sqrt -1) (sqrt (acos a)))) (* (sqrt -1) a) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) a a (* a -1) (* (cbrt a) (/ -1 (acos a))) (* (sqrt a) (/ -1 (acos a))) (* -1 (/ a (acos a))) (* a -1) (expm1 (/ -1 (acos a))) (log1p (/ -1 (acos a))) (log (/ -1 (acos a))) (log (/ -1 (acos a))) (exp (/ -1 (acos a))) (pow (/ -1 (acos a)) 3) (* (cbrt (/ -1 (acos a))) (cbrt (/ -1 (acos a)))) (cbrt (/ -1 (acos a))) (pow (/ -1 (acos a)) 3) (sqrt (/ -1 (acos a))) (sqrt (/ -1 (acos a))) 1 (/ (acos a) -1) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ -1 (cbrt (acos a))) (/ 1 (sqrt (acos a))) (/ -1 (sqrt (acos a))) 1 (/ -1 (acos a)) (/ (sqrt -1) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt -1) (cbrt (acos a))) (/ (sqrt -1) (sqrt (acos a))) (/ (sqrt -1) (sqrt (acos a))) (sqrt -1) (/ (sqrt -1) (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ -1 (cbrt (acos a))) (/ 1 (sqrt (acos a))) (/ -1 (sqrt (acos a))) 1 (/ -1 (acos a)) (/ 1 (acos a)) (/ (acos a) -1) (/ -1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ -1 (sqrt (acos a))) -1 (/ (acos a) -1) (/ (acos a) (sqrt -1)) (/ (acos a) -1) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (/ -1 (acos a)) (/ -1 (acos a)) (/ -1 (acos a)) 0.337 * * * [progress]: adding candidates to table 0.425 * * [progress]: iteration 3 / 4 0.425 * * * [progress]: picking best candidate 0.434 * * * * [pick]: Picked # 0.434 * * * [progress]: localizing error 0.439 * * * [progress]: generating rewritten candidates 0.439 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.451 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.468 * * * [progress]: generating series expansions 0.468 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.468 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.468 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.468 * [taylor]: Taking taylor expansion of -1 in a 0.468 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.468 * [taylor]: Taking taylor expansion of a in a 0.468 * [taylor]: Taking taylor expansion of (acos a) in a 0.468 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.468 * [taylor]: Taking taylor expansion of -1 in a 0.468 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.468 * [taylor]: Taking taylor expansion of a in a 0.468 * [taylor]: Taking taylor expansion of (acos a) in a 0.476 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.476 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.476 * [taylor]: Taking taylor expansion of -1 in a 0.476 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.476 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.476 * [taylor]: Taking taylor expansion of a in a 0.476 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.476 * [taylor]: Taking taylor expansion of -1 in a 0.476 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.476 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.476 * [taylor]: Taking taylor expansion of a in a 0.482 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.482 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.482 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.482 * [taylor]: Taking taylor expansion of a in a 0.482 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.483 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.483 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.483 * [taylor]: Taking taylor expansion of a in a 0.483 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.491 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.491 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 0.492 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.492 * [taylor]: Taking taylor expansion of -1 in a 0.492 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.492 * [taylor]: Taking taylor expansion of (acos a) in a 0.492 * [taylor]: Taking taylor expansion of a in a 0.492 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.492 * [taylor]: Taking taylor expansion of -1 in a 0.492 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.492 * [taylor]: Taking taylor expansion of (acos a) in a 0.492 * [taylor]: Taking taylor expansion of a in a 0.505 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.505 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.505 * [taylor]: Taking taylor expansion of -1 in a 0.505 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.505 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.505 * [taylor]: Taking taylor expansion of a in a 0.505 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.505 * [taylor]: Taking taylor expansion of -1 in a 0.505 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.505 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.505 * [taylor]: Taking taylor expansion of a in a 0.517 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 0.517 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.517 * [taylor]: Taking taylor expansion of a in a 0.517 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.517 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.517 * [taylor]: Taking taylor expansion of a in a 0.517 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.529 * * * [progress]: simplifying candidates 0.532 * [simplify]: Simplifying using # : (expm1 (/ 1 (/ (- (acos a)) a))) (log1p (/ 1 (/ (- (acos a)) a))) (- 1) (- (- (log (- (acos a))) (log a))) (- (log (/ (- (acos a)) a))) (- 0 (- (log (- (acos a))) (log a))) (- 0 (log (/ (- (acos a)) a))) (- (log 1) (- (log (- (acos a))) (log a))) (- (log 1) (log (/ (- (acos a)) a))) (log (/ 1 (/ (- (acos a)) a))) (exp (/ 1 (/ (- (acos a)) a))) (/ (* (* 1 1) 1) (/ (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* a a) a))) (/ (* (* 1 1) 1) (* (* (/ (- (acos a)) a) (/ (- (acos a)) a)) (/ (- (acos a)) a))) (* (cbrt (/ 1 (/ (- (acos a)) a))) (cbrt (/ 1 (/ (- (acos a)) a)))) (cbrt (/ 1 (/ (- (acos a)) a))) (* (* (/ 1 (/ (- (acos a)) a)) (/ 1 (/ (- (acos a)) a))) (/ 1 (/ (- (acos a)) a))) (sqrt (/ 1 (/ (- (acos a)) a))) (sqrt (/ 1 (/ (- (acos a)) a))) (- 1) (- (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ (cbrt 1) (cbrt (/ (- (acos a)) a))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (- (acos a)) a))) (/ (cbrt 1) (sqrt (/ (- (acos a)) a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (cbrt (- (acos a))) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ (cbrt 1) (/ (cbrt (- (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1)) (/ (cbrt 1) (/ (cbrt (- (acos a))) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (sqrt (- (acos a))) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- (acos a))) (sqrt a))) (/ (cbrt 1) (/ (sqrt (- (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- (acos a))) 1)) (/ (cbrt 1) (/ (sqrt (- (acos a))) a)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (- (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt a))) (/ (cbrt 1) (/ (- (acos a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (/ -1 (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (acos a) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ -1 (sqrt a))) (/ (cbrt 1) (/ (acos a) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ -1 1)) (/ (cbrt 1) (/ (acos a) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a)))) 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(acos a))) (sqrt a))) (/ (cbrt 1) (/ (- (cbrt (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ (cbrt 1) (/ (- (cbrt (acos a))) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (- (sqrt (acos a))) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (sqrt a))) (/ (cbrt 1) (/ (- (sqrt (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) 1)) (/ (cbrt 1) (/ (- (sqrt (acos a))) a)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (- (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt a))) (/ (cbrt 1) (/ (- (acos a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (- (acos a))) (/ (cbrt 1) (/ 1 a)) (/ (sqrt 1) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ (sqrt 1) (cbrt (/ (- (acos a)) a))) (/ (sqrt 1) (sqrt (/ (- (acos a)) a))) (/ (sqrt 1) (sqrt 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-1 1)) (/ (sqrt 1) (/ (acos a) a)) (/ (sqrt 1) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (cbrt (acos a)) (cbrt a))) (/ (sqrt 1) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a))) (/ (sqrt 1) (/ (cbrt (acos a)) (sqrt a))) (/ (sqrt 1) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1)) (/ (sqrt 1) (/ (cbrt (acos a)) a)) (/ (sqrt 1) (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (sqrt (acos a)) (cbrt a))) (/ (sqrt 1) (/ (- (sqrt (acos a))) (sqrt a))) (/ (sqrt 1) (/ (sqrt (acos a)) (sqrt a))) (/ (sqrt 1) (/ (- (sqrt (acos a))) 1)) (/ (sqrt 1) (/ (sqrt (acos a)) a)) (/ (sqrt 1) (/ (- 1) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (acos a) (cbrt a))) (/ (sqrt 1) (/ (- 1) (sqrt a))) (/ (sqrt 1) (/ (acos a) (sqrt a))) (/ (sqrt 1) (/ (- 1) 1)) (/ (sqrt 1) (/ (acos a) a)) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (- (cbrt (acos a))) (cbrt a))) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ (sqrt 1) (/ (- (cbrt (acos a))) (sqrt a))) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ (sqrt 1) (/ (- (cbrt (acos a))) a)) (/ (sqrt 1) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (- (sqrt (acos a))) (cbrt 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 (- (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 (* (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 (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (cbrt (acos a))) (cbrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ 1 (/ (- (cbrt (acos a))) (sqrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ 1 (/ (- (cbrt (acos a))) a)) (/ 1 (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (sqrt (acos a))) (cbrt a))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (/ (sqrt (acos a)) 1)) (/ 1 (/ (- (sqrt (acos a))) a)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (acos a)) (cbrt a))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ (- (acos a)) (sqrt a))) (/ 1 (/ 1 1)) (/ 1 (/ (- (acos a)) a)) (/ 1 1) (/ 1 (/ (- (acos a)) a)) (/ 1 (- (acos a))) (/ 1 (/ 1 a)) (/ 1 (/ (- (acos a)) a)) (/ (/ (- (acos a)) a) 1) (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1)) (/ 1 (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (- (acos a))) (sqrt a))) (/ 1 (/ (sqrt (- (acos a))) 1)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ 1 1)) (/ 1 (/ -1 (* (cbrt a) (cbrt a)))) (/ 1 (/ -1 (sqrt a))) (/ 1 (/ -1 1)) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1)) (/ 1 (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (/ (- (sqrt (acos a))) 1)) (/ 1 (/ (- 1) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- 1) (sqrt a))) (/ 1 (/ (- 1) 1)) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ 1 (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (/ (sqrt (acos a)) 1)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (- (acos a))) (/ (/ (- (acos a)) a) (cbrt 1)) (/ (/ (- (acos a)) a) (sqrt 1)) (/ (/ (- (acos a)) a) 1) (/ 1 (- (acos a))) (expm1 (/ (- (acos a)) a)) (log1p (/ (- (acos a)) a)) (- (log (- (acos a))) (log a)) (log (/ (- (acos a)) a)) (exp (/ (- (acos a)) a)) (/ (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* a a) a)) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a)) (* (* (/ (- (acos a)) a) (/ (- (acos a)) a)) (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (- (- (acos a))) (- a) (/ 0 a) (/ (acos a) a) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a))) (/ (cbrt (- (acos a))) (cbrt a)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a)) (/ (cbrt (- (acos a))) (sqrt a)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1) (/ (cbrt (- (acos a))) a) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (- (acos a))) (cbrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) 1) (/ (sqrt (- (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) (/ 1 1) (/ (- (acos a)) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) (/ -1 1) (/ (acos a) a) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a))) (/ (cbrt (acos a)) (cbrt a)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a)) (/ (cbrt (acos a)) (sqrt a)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1) (/ (cbrt (acos a)) a) (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (acos a)) (cbrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (- (sqrt (acos a))) 1) (/ (sqrt (acos a)) a) (/ (- 1) (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ (- 1) (sqrt a)) (/ (acos a) (sqrt a)) (/ (- 1) 1) (/ (acos a) a) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))) (/ (- (cbrt (acos a))) (cbrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)) (/ (- (cbrt (acos a))) (sqrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1) (/ (- (cbrt (acos a))) a) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a))) (/ (- (sqrt (acos a))) (cbrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) 1) (/ (- (sqrt (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) (/ 1 1) (/ (- (acos a)) a) (/ 1 a) (/ a (- (acos a))) (/ (acos a) a) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) 1) (/ a (cbrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ a (- (acos a))) (/ a (acos a)) (/ a (cbrt (acos a))) (/ a (sqrt (acos a))) (/ a (acos a)) (/ a (- (cbrt (acos a)))) (/ a (- (sqrt (acos a)))) (/ a (- (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) 0.542 * * [simplify]: iteration 0 : 663 enodes (cost 1934 ) 0.555 * * [simplify]: iteration 1 : 3064 enodes (cost 1717 ) 0.590 * * [simplify]: iteration 2 : 5001 enodes (cost 1525 ) 0.599 * [simplify]: Simplified to: (expm1 (/ 1 (/ (- (acos a)) a))) (log1p (/ 1 (/ (- (acos a)) a))) -1 (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))) (pow (exp -1) (/ a (acos a))) (* -1 (pow (/ a (acos a)) 3)) (* -1 (pow (/ a (acos a)) 3)) (* (cbrt (/ 1 (/ (- (acos a)) a))) (cbrt (/ 1 (/ (- (acos a)) a)))) (cbrt (/ 1 (/ (- (acos a)) a))) (* -1 (pow (/ a (acos a)) 3)) (sqrt (/ 1 (/ (- (acos a)) a))) (sqrt (/ 1 (/ (- (acos a)) a))) -1 (/ (acos a) a) (/ (/ 1 (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))) (/ 1 (cbrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (* 1 (cbrt a)) (cbrt (- (acos a)))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (* 1 (cbrt a)) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (* -1 (/ (cbrt a) (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (/ a (- (acos a))) (* -1 (* (cbrt a) (cbrt a))) (/ 1 (/ (acos a) (cbrt a))) (* -1 (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt 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(acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (/ a (- (acos a))) 1 (/ a (- (acos a))) (/ 1 (- (acos a))) a (/ (/ 1 (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))) (/ 1 (cbrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (* 1 (cbrt a)) (cbrt (- (acos a)))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (* 1 (cbrt a)) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (* -1 (/ (cbrt a) (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (/ a (- (acos a))) (* -1 (* (cbrt a) (cbrt a))) (/ 1 (/ (acos a) (cbrt a))) (* -1 (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) (/ (* (cbrt a) (cbrt a)) (- (* 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(cbrt a) (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (/ a (- (acos a))) 1 (/ a (- (acos a))) (/ 1 (- (acos a))) a (/ (/ 1 (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))) (/ 1 (cbrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (* 1 (cbrt a)) (cbrt (- (acos a)))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (* 1 (cbrt a)) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (* -1 (/ (cbrt a) (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (/ a (- (acos a))) (* -1 (* (cbrt a) (cbrt a))) (/ 1 (/ (acos a) (cbrt a))) (* -1 (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) (/ (* (cbrt a) (cbrt a)) 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(/ (cbrt a) (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (/ a (- (acos a))) 1 (/ a (- (acos a))) (/ 1 (- (acos a))) a (/ a (- (acos a))) (/ (- (acos a)) a) (/ (/ 1 (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (sqrt a) 1 (* -1 (* (cbrt a) (cbrt a))) (* -1 (sqrt a)) -1 (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (sqrt a) (- (sqrt (acos a)))) (/ 1 (- (sqrt (acos a)))) (* -1 (* (cbrt a) (cbrt a))) (* -1 (sqrt a)) -1 (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (sqrt a) (sqrt (acos a))) (/ 1 (sqrt (acos a))) (* (cbrt a) (cbrt a)) (sqrt a) 1 1 (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ 1 (- (acos a))) (expm1 (/ (- (acos a)) a)) (log1p (/ (- (acos a)) a)) (log (/ (- (acos a)) a)) (log (/ (- (acos a)) a)) (exp (/ (- (acos a)) a)) (pow (/ (- (acos a)) a) 3) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a)) (pow (/ (- (acos a)) a) 3) (sqrt (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (acos a) (- a) 0 (/ (acos a) a) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a))) (/ (cbrt (- (acos a))) (cbrt a)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a)) (/ (cbrt (- (acos a))) (sqrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (/ (cbrt (- (acos a))) a) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (- (acos a))) (cbrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (sqrt (- (acos a))) (/ (sqrt (- (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) 1 (/ (- (acos a)) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) -1 (/ (acos a) a) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a))) (/ (cbrt (acos a)) (cbrt a)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a)) (/ (cbrt (acos a)) (sqrt a)) (- (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt (acos a)) a) (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (acos a)) (cbrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (- (sqrt (acos a))) (/ (sqrt (acos a)) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) -1 (/ (acos a) a) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))) (/ (- (cbrt (acos a))) (cbrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)) (/ (- (cbrt (acos a))) (sqrt a)) (* (cbrt (acos a)) (cbrt (acos a))) (/ (- (cbrt (acos a))) a) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a))) (/ (- (sqrt (acos a))) (cbrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (sqrt (acos a)) (/ (- (sqrt (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) 1 (/ (- (acos a)) a) (/ 1 a) (/ a (- (acos a))) (/ (acos a) a) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (- (acos a)) (/ a (cbrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ a (- (acos a))) (/ a (acos a)) (/ a (cbrt (acos a))) (/ a (sqrt (acos a))) (/ a (acos a)) (/ a (- (cbrt (acos a)))) (/ a (- (sqrt (acos a)))) (/ a (- (acos a))) (/ a (- (acos a))) (/ a (- (acos a))) (/ a (- (acos a))) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) 0.600 * * * [progress]: adding candidates to table 0.808 * * [progress]: iteration 4 / 4 0.809 * * * [progress]: picking best candidate 0.818 * * * * [pick]: Picked # 0.818 * * * [progress]: localizing error 0.824 * * * [progress]: generating rewritten candidates 0.824 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.831 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.843 * * * [progress]: generating series expansions 0.843 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.843 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.843 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.843 * [taylor]: Taking taylor expansion of -1 in a 0.843 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.843 * [taylor]: Taking taylor expansion of a in a 0.843 * [taylor]: Taking taylor expansion of (acos a) in a 0.843 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.843 * [taylor]: Taking taylor expansion of -1 in a 0.843 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.844 * [taylor]: Taking taylor expansion of a in a 0.844 * [taylor]: Taking taylor expansion of (acos a) in a 0.851 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.851 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.851 * [taylor]: Taking taylor expansion of -1 in a 0.851 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.851 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.851 * [taylor]: Taking taylor expansion of a in a 0.851 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.851 * [taylor]: Taking taylor expansion of -1 in a 0.851 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.851 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.851 * [taylor]: Taking taylor expansion of a in a 0.857 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.857 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.857 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.857 * [taylor]: Taking taylor expansion of a in a 0.857 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.860 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.860 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.861 * [taylor]: Taking taylor expansion of a in a 0.861 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.869 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.869 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 0.869 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.869 * [taylor]: Taking taylor expansion of -1 in a 0.869 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.869 * [taylor]: Taking taylor expansion of (acos a) in a 0.869 * [taylor]: Taking taylor expansion of a in a 0.870 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.870 * [taylor]: Taking taylor expansion of -1 in a 0.870 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.870 * [taylor]: Taking taylor expansion of (acos a) in a 0.870 * [taylor]: Taking taylor expansion of a in a 0.883 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.883 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.883 * [taylor]: Taking taylor expansion of -1 in a 0.883 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.883 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.883 * [taylor]: Taking taylor expansion of a in a 0.883 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.883 * [taylor]: Taking taylor expansion of -1 in a 0.883 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.884 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.884 * [taylor]: Taking taylor expansion of a in a 0.895 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 0.895 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.895 * [taylor]: Taking taylor expansion of a in a 0.895 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.895 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.895 * [taylor]: Taking taylor expansion of a in a 0.895 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.903 * * * [progress]: simplifying candidates 0.904 * [simplify]: Simplifying using # : (expm1 (/ 1 (* (- (acos a)) (/ 1 a)))) (log1p (/ 1 (* (- (acos a)) (/ 1 a)))) (- 1) (- 1) (- (+ (log (- (acos a))) (- (log a)))) (- (+ (log (- (acos a))) (- 0 (log a)))) (- (+ (log (- (acos a))) (- (log 1) (log a)))) (- (+ (log (- (acos a))) (log (/ 1 a)))) (- (log (* (- (acos a)) (/ 1 a)))) (- 0 (+ (log (- (acos a))) (- (log a)))) (- 0 (+ (log (- (acos a))) (- 0 (log a)))) (- 0 (+ (log (- (acos a))) (- (log 1) (log a)))) (- 0 (+ (log (- (acos a))) (log (/ 1 a)))) (- 0 (log (* (- (acos a)) (/ 1 a)))) (- (log 1) (+ (log (- (acos a))) (- (log a)))) (- (log 1) (+ (log (- (acos a))) (- 0 (log a)))) (- (log 1) (+ (log (- (acos a))) (- (log 1) (log a)))) (- (log 1) (+ (log (- (acos a))) (log (/ 1 a)))) (- (log 1) (log (* (- (acos a)) (/ 1 a)))) (log (/ 1 (* (- (acos a)) (/ 1 a)))) (exp (/ 1 (* (- (acos a)) (/ 1 a)))) (/ (* (* 1 1) 1) (* (* (* (- (acos a)) (- (acos a))) (- (acos a))) (/ (* (* 1 1) 1) (* (* a a) a)))) (/ (* (* 1 1) 1) (* (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a)))) (/ (* (* 1 1) 1) (* (* (* (- (acos a)) (/ 1 a)) (* (- (acos a)) (/ 1 a))) (* (- (acos a)) (/ 1 a)))) (* (cbrt (/ 1 (* (- (acos a)) (/ 1 a)))) (cbrt (/ 1 (* (- (acos a)) (/ 1 a))))) (cbrt (/ 1 (* (- (acos a)) (/ 1 a)))) (* (* (/ 1 (* (- (acos a)) (/ 1 a))) (/ 1 (* (- (acos a)) (/ 1 a)))) (/ 1 (* (- (acos a)) (/ 1 a)))) (sqrt (/ 1 (* (- (acos a)) (/ 1 a)))) (sqrt (/ 1 (* (- (acos a)) (/ 1 a)))) (- 1) (- (* (- (acos a)) (/ 1 a))) (/ (* (cbrt 1) (cbrt 1)) (- (acos a))) (/ (cbrt 1) (/ 1 a)) (/ (sqrt 1) (- (acos a))) (/ (sqrt 1) (/ 1 a)) (/ 1 (- (acos a))) (/ 1 (/ 1 a)) (/ 1 (* (- (acos a)) (/ 1 a))) (/ (* (- (acos a)) (/ 1 a)) 1) (/ 1 (- (acos a))) (/ (* (- (acos a)) (/ 1 a)) (cbrt 1)) (/ (* (- (acos a)) (/ 1 a)) (sqrt 1)) (/ (* (- (acos a)) (/ 1 a)) 1) (/ 1 (- (acos a))) (/ 1 (* (- (acos a)) 1)) (expm1 (* (- (acos a)) (/ 1 a))) (log1p (* (- (acos a)) (/ 1 a))) (* (- (acos a)) (/ 1 a)) (+ (log (- (acos a))) (- (log a))) (+ (log (- (acos a))) (- 0 (log a))) (+ (log (- (acos a))) (- (log 1) (log a))) (+ (log (- (acos a))) (log (/ 1 a))) (log (* (- (acos a)) (/ 1 a))) (exp (* (- (acos a)) (/ 1 a))) (* (* (* (- (acos a)) (- (acos a))) (- (acos a))) (/ (* (* 1 1) 1) (* (* a a) a))) (* (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (* (cbrt (* (- (acos a)) (/ 1 a))) (cbrt (* (- (acos a)) (/ 1 a)))) (cbrt (* (- (acos a)) (/ 1 a))) (* (* (* (- (acos a)) (/ 1 a)) (* (- (acos a)) (/ 1 a))) (* (- (acos a)) (/ 1 a))) (sqrt (* (- (acos a)) (/ 1 a))) (sqrt (* (- (acos a)) (/ 1 a))) (* (sqrt (- (acos a))) (sqrt (/ 1 a))) (* (sqrt (- (acos a))) (sqrt (/ 1 a))) (* (sqrt (- (acos a))) (/ (sqrt 1) (sqrt a))) (* (sqrt (- (acos a))) (/ (sqrt 1) (sqrt a))) (* (sqrt (- (acos a))) (/ 1 (sqrt a))) (* (sqrt (- (acos a))) (/ 1 (sqrt a))) (* (acos a) (/ 1 a)) (* (- (acos a)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (* (- (acos a)) (sqrt (/ 1 a))) (* (- (acos a)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (* (- (acos a)) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (* (- (acos a)) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (- (acos a)) (/ (sqrt 1) (* (cbrt a) (cbrt a)))) (* (- (acos a)) (/ (sqrt 1) (sqrt a))) (* (- (acos a)) (/ (sqrt 1) 1)) (* (- (acos a)) (/ 1 (* (cbrt a) (cbrt a)))) (* (- (acos a)) (/ 1 (sqrt a))) (* (- (acos a)) (/ 1 1)) (* (- (acos a)) 1) (* (- (acos a)) 1) (* (cbrt (- (acos a))) (/ 1 a)) (* (sqrt (- (acos a))) (/ 1 a)) (* (- (acos a)) (/ 1 a)) (* (acos a) (/ 1 a)) (* (cbrt (acos a)) (/ 1 a)) (* (sqrt (acos a)) (/ 1 a)) (* (acos a) (/ 1 a)) (* (- (cbrt (acos a))) (/ 1 a)) (* (- (sqrt (acos a))) (/ 1 a)) (* (- (acos a)) (/ 1 a)) (* (- (acos a)) 1) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) 0.909 * * [simplify]: iteration 0 : 355 enodes (cost 529 ) 0.916 * * [simplify]: iteration 1 : 1634 enodes (cost 425 ) 0.940 * * [simplify]: iteration 2 : 5001 enodes (cost 401 ) 0.942 * [simplify]: Simplified to: (expm1 (/ 1 (* (- (acos a)) (/ 1 a)))) (log1p (/ 1 (* (- (acos a)) (/ 1 a)))) -1 -1 (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (pow (exp (/ 1 (- (acos a)))) a) (/ (pow a 3) (pow (- (acos a)) 3)) (/ (pow a 3) (pow (- (acos a)) 3)) (/ (pow a 3) (pow (- (acos a)) 3)) (* (cbrt (/ 1 (* (- (acos a)) (/ 1 a)))) (cbrt (/ 1 (* (- (acos a)) (/ 1 a))))) (cbrt (/ 1 (* (- (acos a)) (/ 1 a)))) (/ (pow a 3) (pow (- (acos a)) 3)) (sqrt (/ 1 (* (- (acos a)) (/ 1 a)))) (sqrt (/ 1 (* (- (acos a)) (/ 1 a)))) -1 (/ (acos a) a) (* -1 (/ 1 (acos a))) a (* -1 (/ 1 (acos a))) a (* -1 (/ 1 (acos a))) a (/ a (- (acos a))) (/ (- (acos a)) a) (* -1 (/ 1 (acos a))) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (* -1 (/ 1 (acos a))) (* -1 (/ 1 (acos a))) (expm1 (* (- (acos a)) (/ 1 a))) (log1p (* (- (acos a)) (/ 1 a))) (/ (- (acos a)) a) (log (/ (- (acos a)) a)) (log (/ (- (acos a)) a)) (log (/ (- (acos a)) a)) (log (/ (- (acos a)) a)) (log (/ (- (acos a)) a)) (exp (/ (- (acos a)) a)) (pow (/ (- (acos a)) a) 3) (pow (/ (- (acos a)) a) 3) (* (cbrt (* (- (acos a)) (/ 1 a))) (cbrt (* (- (acos a)) (/ 1 a)))) (cbrt (* (- (acos a)) (/ 1 a))) (pow (/ (- (acos a)) a) 3) (sqrt (* (- (acos a)) (/ 1 a))) (sqrt (* (- (acos a)) (/ 1 a))) (* (sqrt (- (acos a))) (sqrt (/ 1 a))) (* (sqrt (- (acos a))) (sqrt (/ 1 a))) (/ (* (sqrt (- (acos a))) 1) (sqrt a)) (/ (* (sqrt (- (acos a))) 1) (sqrt a)) (/ (* (sqrt (- (acos a))) 1) (sqrt a)) (/ (* (sqrt (- (acos a))) 1) (sqrt a)) (/ (acos a) a) (* (- (acos a)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (* (- (acos a)) (sqrt (/ 1 a))) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (- (acos a)) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (- (acos a)) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (- (acos a)) (- (acos a)) (- (acos a)) (/ (cbrt (- (acos a))) a) (/ (sqrt (- (acos a))) a) (/ (- (acos a)) a) (/ (acos a) a) (/ (cbrt (acos a)) a) (/ (sqrt (acos a)) a) (/ (acos a) a) (/ (- (cbrt (acos a))) a) (/ (- (sqrt (acos a))) a) (/ (- (acos a)) a) (- (acos a)) (/ a (- (acos a))) (/ a (- (acos a))) (/ a (- (acos a))) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) 0.942 * * * [progress]: adding candidates to table 1.031 * [progress]: [Phase 3 of 3] Extracting. 1.031 * * [regime]: Finding splitpoints for: (# # # # # # #) 1.032 * * * [regime-changes]: Trying 2 branch expressions: ((/ a (- (acos a))) a) 1.032 * * * * [regimes]: Trying to branch on (/ a (- (acos a))) from (# # # # # # #) 1.058 * * * * [regimes]: Trying to branch on a from (# # # # # # #) 1.080 * * * [regime]: Found split indices: #