54.089 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.026 * * * [progress]: [2/2] Setting up program. 0.028 * [progress]: [Phase 2 of 3] Improving. 0.028 * [simplify]: Simplifying using # : (/ a (- (acos a))) 0.030 * * [simplify]: iteration 0 : 4 enodes (cost 3 ) 0.030 * [simplify]: Simplified to: (/ a (- (acos a))) 0.030 * * [progress]: iteration 1 / 4 0.030 * * * [progress]: picking best candidate 0.032 * * * * [pick]: Picked # 0.032 * * * [progress]: localizing error 0.038 * * * [progress]: generating rewritten candidates 0.038 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.044 * * * [progress]: generating series expansions 0.044 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.044 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.044 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.044 * [taylor]: Taking taylor expansion of -1 in a 0.044 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.044 * [taylor]: Taking taylor expansion of a in a 0.044 * [taylor]: Taking taylor expansion of (acos a) in a 0.045 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.045 * [taylor]: Taking taylor expansion of -1 in a 0.045 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.045 * [taylor]: Taking taylor expansion of a in a 0.045 * [taylor]: Taking taylor expansion of (acos a) in a 0.052 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.052 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.052 * [taylor]: Taking taylor expansion of -1 in a 0.052 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.052 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.052 * [taylor]: Taking taylor expansion of a in a 0.052 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.052 * [taylor]: Taking taylor expansion of -1 in a 0.052 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.052 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.052 * [taylor]: Taking taylor expansion of a in a 0.058 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.058 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.058 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.058 * [taylor]: Taking taylor expansion of a in a 0.058 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.058 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.058 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.058 * [taylor]: Taking taylor expansion of a in a 0.058 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.067 * * * [progress]: simplifying candidates 0.067 * [simplify]: Simplifying using # : (- (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))) 0.071 * * [simplify]: iteration 0 : 164 enodes (cost 376 ) 0.075 * * [simplify]: iteration 1 : 491 enodes (cost 364 ) 0.081 * * [simplify]: iteration 2 : 1440 enodes (cost 359 ) 0.100 * * [simplify]: iteration 3 : 3702 enodes (cost 358 ) 0.152 * * [simplify]: iteration 4 : 5001 enodes (cost 358 ) 0.154 * [simplify]: Simplified to: (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))) 0.154 * * * [progress]: adding candidates to table 0.235 * * [progress]: iteration 2 / 4 0.235 * * * [progress]: picking best candidate 0.248 * * * * [pick]: Picked # 0.248 * * * [progress]: localizing error 0.252 * * * [progress]: generating rewritten candidates 0.252 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.261 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.266 * * * [progress]: generating series expansions 0.266 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.266 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.266 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.266 * [taylor]: Taking taylor expansion of -1 in a 0.266 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.266 * [taylor]: Taking taylor expansion of a in a 0.266 * [taylor]: Taking taylor expansion of (acos a) in a 0.266 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.266 * [taylor]: Taking taylor expansion of -1 in a 0.266 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.266 * [taylor]: Taking taylor expansion of a in a 0.266 * [taylor]: Taking taylor expansion of (acos a) in a 0.273 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.273 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.273 * [taylor]: Taking taylor expansion of -1 in a 0.273 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.273 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.273 * [taylor]: Taking taylor expansion of a in a 0.273 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.273 * [taylor]: Taking taylor expansion of -1 in a 0.273 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.274 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.274 * [taylor]: Taking taylor expansion of a in a 0.279 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.279 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.279 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.279 * [taylor]: Taking taylor expansion of a in a 0.279 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.280 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.280 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.280 * [taylor]: Taking taylor expansion of a in a 0.280 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.288 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.288 * [approximate]: Taking taylor expansion of (/ -1 (acos a)) in (a) around 0 0.288 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 0.288 * [taylor]: Taking taylor expansion of -1 in a 0.288 * [taylor]: Taking taylor expansion of (acos a) in a 0.288 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 0.288 * [taylor]: Taking taylor expansion of -1 in a 0.288 * [taylor]: Taking taylor expansion of (acos a) in a 0.290 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in (a) around 0 0.290 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 0.290 * [taylor]: Taking taylor expansion of -1 in a 0.290 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.290 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 0.290 * [taylor]: Taking taylor expansion of -1 in a 0.290 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.292 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in (a) around 0 0.292 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 0.292 * [taylor]: Taking taylor expansion of -1 in a 0.292 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.292 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 0.292 * [taylor]: Taking taylor expansion of -1 in a 0.292 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.293 * * * [progress]: simplifying candidates 0.294 * [simplify]: Simplifying using # : (* 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) (- (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)) 0.298 * * [simplify]: iteration 0 : 184 enodes (cost 309 ) 0.302 * * [simplify]: iteration 1 : 929 enodes (cost 282 ) 0.326 * * [simplify]: iteration 2 : 5001 enodes (cost 257 ) 0.327 * [simplify]: Simplified to: (* -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) (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)) 0.328 * * * [progress]: adding candidates to table 0.408 * * [progress]: iteration 3 / 4 0.409 * * * [progress]: picking best candidate 0.418 * * * * [pick]: Picked # 0.419 * * * [progress]: localizing error 0.423 * * * [progress]: generating rewritten candidates 0.423 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.436 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.451 * * * [progress]: generating series expansions 0.451 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.451 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.451 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.451 * [taylor]: Taking taylor expansion of -1 in a 0.451 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.451 * [taylor]: Taking taylor expansion of a in a 0.451 * [taylor]: Taking taylor expansion of (acos a) in a 0.451 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.451 * [taylor]: Taking taylor expansion of -1 in a 0.452 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.452 * [taylor]: Taking taylor expansion of a in a 0.452 * [taylor]: Taking taylor expansion of (acos a) in a 0.458 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.458 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.458 * [taylor]: Taking taylor expansion of -1 in a 0.459 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.459 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.459 * [taylor]: Taking taylor expansion of a in a 0.459 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.459 * [taylor]: Taking taylor expansion of -1 in a 0.459 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.459 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.459 * [taylor]: Taking taylor expansion of a in a 0.465 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.465 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.465 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.465 * [taylor]: Taking taylor expansion of a in a 0.465 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.465 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.465 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.465 * [taylor]: Taking taylor expansion of a in a 0.465 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.473 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.474 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 0.474 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.474 * [taylor]: Taking taylor expansion of -1 in a 0.474 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.474 * [taylor]: Taking taylor expansion of (acos a) in a 0.474 * [taylor]: Taking taylor expansion of a in a 0.474 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.474 * [taylor]: Taking taylor expansion of -1 in a 0.474 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.474 * [taylor]: Taking taylor expansion of (acos a) in a 0.474 * [taylor]: Taking taylor expansion of a in a 0.487 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.487 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.487 * [taylor]: Taking taylor expansion of -1 in a 0.487 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.487 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.487 * [taylor]: Taking taylor expansion of a in a 0.487 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.487 * [taylor]: Taking taylor expansion of -1 in a 0.487 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.487 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.487 * [taylor]: Taking taylor expansion of a in a 0.498 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 0.498 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.498 * [taylor]: Taking taylor expansion of a in a 0.498 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.498 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.498 * [taylor]: Taking taylor expansion of a in a 0.498 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.506 * * * [progress]: simplifying candidates 0.512 * [simplify]: Simplifying using # : (- 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 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(* (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)) 0.522 * * [simplify]: iteration 0 : 659 enodes (cost 1916 ) 0.534 * * [simplify]: iteration 1 : 3060 enodes (cost 1699 ) 0.568 * * [simplify]: iteration 2 : 5001 enodes (cost 1507 ) 0.577 * [simplify]: Simplified to: -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 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(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) 0.578 * * * [progress]: adding candidates to table 0.790 * * [progress]: iteration 4 / 4 0.790 * * * [progress]: picking best candidate 0.800 * * * * [pick]: Picked # 0.800 * * * [progress]: localizing error 0.806 * * * [progress]: generating rewritten candidates 0.806 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.813 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.825 * * * [progress]: generating series expansions 0.825 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.825 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.825 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.825 * [taylor]: Taking taylor expansion of -1 in a 0.825 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.825 * [taylor]: Taking taylor expansion of a in a 0.825 * [taylor]: Taking taylor expansion of (acos a) in a 0.825 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.825 * [taylor]: Taking taylor expansion of -1 in a 0.825 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.825 * [taylor]: Taking taylor expansion of a in a 0.825 * [taylor]: Taking taylor expansion of (acos a) in a 0.832 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.832 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.832 * [taylor]: Taking taylor expansion of -1 in a 0.832 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.832 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.832 * [taylor]: Taking taylor expansion of a in a 0.832 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.832 * [taylor]: Taking taylor expansion of -1 in a 0.832 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.833 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.833 * [taylor]: Taking taylor expansion of a in a 0.838 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.838 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.838 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.838 * [taylor]: Taking taylor expansion of a in a 0.838 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.839 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.839 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.839 * [taylor]: Taking taylor expansion of a in a 0.839 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.847 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.847 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 0.847 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.847 * [taylor]: Taking taylor expansion of -1 in a 0.847 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.847 * [taylor]: Taking taylor expansion of (acos a) in a 0.848 * [taylor]: Taking taylor expansion of a in a 0.848 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.848 * [taylor]: Taking taylor expansion of -1 in a 0.848 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.848 * [taylor]: Taking taylor expansion of (acos a) in a 0.848 * [taylor]: Taking taylor expansion of a in a 0.864 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.864 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.864 * [taylor]: Taking taylor expansion of -1 in a 0.864 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.864 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.864 * [taylor]: Taking taylor expansion of a in a 0.864 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.864 * [taylor]: Taking taylor expansion of -1 in a 0.864 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.864 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.864 * [taylor]: Taking taylor expansion of a in a 0.876 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 0.876 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.876 * [taylor]: Taking taylor expansion of a in a 0.876 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.876 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.876 * [taylor]: Taking taylor expansion of a in a 0.876 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.883 * * * [progress]: simplifying candidates 0.884 * [simplify]: Simplifying using # : (- 1) (- 1) (- (+ (log (- (acos a))) (- (log a)))) (- (+ (log (- (acos a))) (- 0 (log a)))) (- (+ (log (- (acos a))) 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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)) 0.889 * * [simplify]: iteration 0 : 351 enodes (cost 507 ) 0.896 * * [simplify]: iteration 1 : 1630 enodes (cost 403 ) 0.919 * * [simplify]: iteration 2 : 5001 enodes (cost 379 ) 0.921 * [simplify]: Simplified to: -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))) (/ (- (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) 0.921 * * * [progress]: adding candidates to table 1.004 * [progress]: [Phase 3 of 3] Extracting. 1.004 * * [regime]: Finding splitpoints for: (# # # # # # #) 1.004 * * * [regime-changes]: Trying 2 branch expressions: ((/ a (- (acos a))) a) 1.004 * * * * [regimes]: Trying to branch on (/ a (- (acos a))) from (# # # # # # #) 1.031 * * * * [regimes]: Trying to branch on a from (# # # # # # #) 1.050 * * * [regime]: Found split indices: #