7.965 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.097 * * * [progress]: [2/2] Setting up program. 0.099 * [progress]: [Phase 2 of 3] Improving. 0.099 * [simplify]: Simplifying using # : (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 0.101 * * [simplify]: iteration 0 : 19 enodes (cost 7 ) 0.103 * * [simplify]: iteration 1 : 42 enodes (cost 7 ) 0.105 * * [simplify]: iteration 2 : 77 enodes (cost 7 ) 0.107 * * [simplify]: iteration 3 : 146 enodes (cost 7 ) 0.109 * * [simplify]: iteration 4 : 242 enodes (cost 7 ) 0.113 * * [simplify]: iteration 5 : 417 enodes (cost 7 ) 0.123 * * [simplify]: iteration 6 : 2789 enodes (cost 7 ) 0.197 * * [simplify]: iteration 7 : 5001 enodes (cost 7 ) 0.197 * [simplify]: Simplified to: (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 0.197 * * [progress]: iteration 1 / 4 0.197 * * * [progress]: picking best candidate 0.199 * * * * [pick]: Picked # 0.199 * * * [progress]: localizing error 0.206 * * * [progress]: generating rewritten candidates 0.206 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.207 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1 2) 0.212 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.221 * * * [progress]: generating series expansions 0.221 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.222 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in (v) around 0 0.222 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 0.222 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 0.223 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 0.223 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.223 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.224 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 0.224 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.224 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.225 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1 2) 0.225 * [approximate]: Taking taylor expansion of (* 5.0 (pow v 2)) in (v) around 0 0.225 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.225 * [taylor]: Taking taylor expansion of 5.0 in v 0.225 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.225 * [taylor]: Taking taylor expansion of v in v 0.225 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.225 * [taylor]: Taking taylor expansion of 5.0 in v 0.225 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.225 * [taylor]: Taking taylor expansion of v in v 0.233 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 0.233 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.233 * [taylor]: Taking taylor expansion of 5.0 in v 0.233 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.233 * [taylor]: Taking taylor expansion of v in v 0.234 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.234 * [taylor]: Taking taylor expansion of 5.0 in v 0.234 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.234 * [taylor]: Taking taylor expansion of v in v 0.241 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 0.241 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.241 * [taylor]: Taking taylor expansion of 5.0 in v 0.241 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.241 * [taylor]: Taking taylor expansion of v in v 0.242 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.242 * [taylor]: Taking taylor expansion of 5.0 in v 0.242 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.242 * [taylor]: Taking taylor expansion of v in v 0.249 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.249 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) in (v) around 0 0.249 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) in v 0.249 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (pow v 2))) in v 0.249 * [taylor]: Taking taylor expansion of 1.0 in v 0.249 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.249 * [taylor]: Taking taylor expansion of 5.0 in v 0.249 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.249 * [taylor]: Taking taylor expansion of v in v 0.249 * [taylor]: Taking taylor expansion of (- (pow v 2) 1.0) in v 0.249 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.250 * [taylor]: Taking taylor expansion of v in v 0.250 * [taylor]: Taking taylor expansion of 1.0 in v 0.251 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) in v 0.251 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (pow v 2))) in v 0.251 * [taylor]: Taking taylor expansion of 1.0 in v 0.251 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.251 * [taylor]: Taking taylor expansion of 5.0 in v 0.251 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.251 * [taylor]: Taking taylor expansion of v in v 0.251 * [taylor]: Taking taylor expansion of (- (pow v 2) 1.0) in v 0.251 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.251 * [taylor]: Taking taylor expansion of v in v 0.251 * [taylor]: Taking taylor expansion of 1.0 in v 0.275 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in (v) around 0 0.275 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 0.275 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.275 * [taylor]: Taking taylor expansion of 1.0 in v 0.275 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.275 * [taylor]: Taking taylor expansion of 5.0 in v 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.275 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.275 * [taylor]: Taking taylor expansion of v in v 0.275 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.275 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.275 * [taylor]: Taking taylor expansion of v in v 0.276 * [taylor]: Taking taylor expansion of 1.0 in v 0.278 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 0.278 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.278 * [taylor]: Taking taylor expansion of 1.0 in v 0.278 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.278 * [taylor]: Taking taylor expansion of 5.0 in v 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.278 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.278 * [taylor]: Taking taylor expansion of v in v 0.278 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.278 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.278 * [taylor]: Taking taylor expansion of v in v 0.279 * [taylor]: Taking taylor expansion of 1.0 in v 0.303 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in (v) around 0 0.303 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 0.303 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.303 * [taylor]: Taking taylor expansion of 1.0 in v 0.303 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.303 * [taylor]: Taking taylor expansion of 5.0 in v 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.303 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.303 * [taylor]: Taking taylor expansion of v in v 0.304 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.304 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.304 * [taylor]: Taking taylor expansion of v in v 0.304 * [taylor]: Taking taylor expansion of 1.0 in v 0.306 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 0.306 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.306 * [taylor]: Taking taylor expansion of 1.0 in v 0.306 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.306 * [taylor]: Taking taylor expansion of 5.0 in v 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.306 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.306 * [taylor]: Taking taylor expansion of v in v 0.306 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.307 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.307 * [taylor]: Taking taylor expansion of v in v 0.307 * [taylor]: Taking taylor expansion of 1.0 in v 0.332 * * * [progress]: simplifying candidates 0.333 * [simplify]: Simplifying using # : (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (exp (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (* (* (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (* 5.0 (* v v)) (* 5.0 (* v v)) (+ (log 5.0) (+ (log v) (log v))) (+ (log 5.0) (log (* v v))) (log (* 5.0 (* v v))) (exp (* 5.0 (* v v))) (* (* (* 5.0 5.0) 5.0) (* (* (* v v) v) (* (* v v) v))) (* (* (* 5.0 5.0) 5.0) (* (* (* v v) (* v v)) (* v v))) (* (cbrt (* 5.0 (* v v))) (cbrt (* 5.0 (* v v)))) (cbrt (* 5.0 (* v v))) (* (* (* 5.0 (* v v)) (* 5.0 (* v v))) (* 5.0 (* v v))) (sqrt (* 5.0 (* v v))) (sqrt (* 5.0 (* v v))) (* (sqrt 5.0) v) (* (sqrt 5.0) v) (* 5.0 v) (* (cbrt 5.0) (* v v)) (* (sqrt 5.0) (* v v)) (* 5.0 (* v v)) (- (log (- 1.0 (* 5.0 (* v v)))) (log (- (* v v) 1.0))) (log (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (exp (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (/ (* (* (- 1.0 (* 5.0 (* v v))) (- 1.0 (* 5.0 (* v v)))) (- 1.0 (* 5.0 (* v v)))) (* (* (- (* v v) 1.0) (- (* v v) 1.0)) (- (* v v) 1.0))) (* (cbrt (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (cbrt (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (* (* (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (sqrt (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (sqrt (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (- (- 1.0 (* 5.0 (* v v)))) (- (- (* v v) 1.0)) (/ 1.0 (- (* v v) 1.0)) (/ (* 5.0 (* v v)) (- (* v v) 1.0)) (/ (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v))))) (* (cbrt (- (* v v) 1.0)) (cbrt (- (* v v) 1.0)))) (/ (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- (* v v) 1.0))) (/ (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (- (* v v) 1.0))) (/ (cbrt (- 1.0 (* 5.0 (* v v)))) (sqrt (- (* v v) 1.0))) (/ (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v))))) 1) (/ (cbrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)) (/ (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v))))) (+ v (sqrt 1.0))) (/ (cbrt (- 1.0 (* 5.0 (* v v)))) (- v (sqrt 1.0))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (* (cbrt (- (* v v) 1.0)) (cbrt (- (* v v) 1.0)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- (* v v) 1.0))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (sqrt (- (* v v) 1.0))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (sqrt (- (* v v) 1.0))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) 1) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (+ v (sqrt 1.0))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- v (sqrt 1.0))) (/ 1 (* (cbrt (- (* v v) 1.0)) (cbrt (- (* v v) 1.0)))) (/ (- 1.0 (* 5.0 (* v v))) (cbrt (- (* v v) 1.0))) (/ 1 (sqrt (- (* v v) 1.0))) (/ (- 1.0 (* 5.0 (* v v))) (sqrt (- (* v v) 1.0))) (/ 1 1) (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) (/ 1 (+ v (sqrt 1.0))) (/ (- 1.0 (* 5.0 (* v v))) (- v (sqrt 1.0))) (/ 1 (- (* v v) 1.0)) (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v)))) (/ (- 1.0 (* 5.0 (* v v))) (* (cbrt (- (* v v) 1.0)) (cbrt (- (* v v) 1.0)))) (/ (- 1.0 (* 5.0 (* v v))) (sqrt (- (* v v) 1.0))) (/ (- 1.0 (* 5.0 (* v v))) 1) (/ (- 1.0 (* 5.0 (* v v))) (+ v (sqrt 1.0))) (/ (- (* v v) 1.0) (cbrt (- 1.0 (* 5.0 (* v v))))) (/ (- (* v v) 1.0) (sqrt (- 1.0 (* 5.0 (* v v))))) (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v)))) (/ (- 1.0 (* 5.0 (* v v))) (- (pow (* v v) 3) (pow 1.0 3))) (/ (- 1.0 (* 5.0 (* v v))) (- (* (* v v) (* v v)) (* 1.0 1.0))) (* (- (* v v) 1.0) (+ (* 1.0 1.0) (+ (* (* 5.0 (* v v)) (* 5.0 (* v v))) (* 1.0 (* 5.0 (* v v)))))) (* (- (* v v) 1.0) (+ 1.0 (* 5.0 (* v v)))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (* 5.0 (pow v 2)) (* 5.0 (pow v 2)) (* 5.0 (pow v 2)) (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0) (- (+ (* 4.0 (/ 1 (pow v 2))) (+ (* 4.0 (/ 1 (pow v 4))) 5.0))) (- (+ (* 4.0 (/ 1 (pow v 2))) (+ (* 4.0 (/ 1 (pow v 4))) 5.0))) 0.339 * * [simplify]: iteration 0 : 336 enodes (cost 587 ) 0.345 * * [simplify]: iteration 1 : 1261 enodes (cost 535 ) 0.368 * * [simplify]: iteration 2 : 5002 enodes (cost 531 ) 0.371 * [simplify]: Simplified to: (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (exp (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (pow (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 3) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (* 5.0 (* v v)) (* 5.0 (* v v)) (log (* 5.0 (* v v))) (log (* 5.0 (* v v))) (log (* 5.0 (* v v))) (exp (* 5.0 (* v v))) (* (pow 5.0 3) (pow v 6)) (* (pow 5.0 3) (pow v 6)) (* (cbrt (* 5.0 (* v v))) (cbrt (* 5.0 (* v v)))) (cbrt (* 5.0 (* v v))) (* (pow 5.0 3) (pow v 6)) (sqrt (* 5.0 (* v v))) (sqrt (* 5.0 (* v v))) (* (sqrt 5.0) v) (* (sqrt 5.0) v) (* 5.0 v) (* (cbrt 5.0) (* v v)) (* (sqrt 5.0) (* v v)) (* 5.0 (* v v)) (log (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (log (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (exp (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (pow (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) 3) (* (cbrt (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (cbrt (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (pow (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) 3) (sqrt (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (sqrt (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (- (- 1.0 (* 5.0 (* v v)))) (- (- (* v v) 1.0)) (/ 1.0 (- (pow v 2) 1.0)) (/ (* 5.0 (* v v)) (- (* v v) 1.0)) (/ (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v))))) (* (cbrt (- (* v v) 1.0)) (cbrt (- (* v v) 1.0)))) (/ (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- (* v v) 1.0))) (/ (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (- (* v v) 1.0))) (/ (cbrt (- 1.0 (* 5.0 (* v v)))) (sqrt (- (* v v) 1.0))) (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v))))) (/ (cbrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)) (/ (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v))))) (+ v (sqrt 1.0))) (/ (cbrt (- 1.0 (* 5.0 (* v v)))) (- v (sqrt 1.0))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (* (cbrt (- (* v v) 1.0)) (cbrt (- (* v v) 1.0)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- (* v v) 1.0))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (sqrt (- (* v v) 1.0))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (sqrt (- (* v v) 1.0))) (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (+ v (sqrt 1.0))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- v (sqrt 1.0))) (/ 1 (* (cbrt (- (* v v) 1.0)) (cbrt (- (* v v) 1.0)))) (/ (- 1.0 (* 5.0 (* v v))) (cbrt (- (* v v) 1.0))) (/ 1 (sqrt (- (* v v) 1.0))) (/ (- 1.0 (* 5.0 (* v v))) (sqrt (- (* v v) 1.0))) 1 (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) (/ 1 (+ v (sqrt 1.0))) (/ (- 1.0 (* 5.0 (* v v))) (- v (sqrt 1.0))) (/ 1 (- (* v v) 1.0)) (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v)))) (/ (- 1.0 (* 5.0 (* v v))) (* (cbrt (- (* v v) 1.0)) (cbrt (- (* v v) 1.0)))) (/ (- 1.0 (* 5.0 (* v v))) (sqrt (- (* v v) 1.0))) (- 1.0 (* 5.0 (* v v))) (/ (- 1.0 (* 5.0 (* v v))) (+ v (sqrt 1.0))) (/ (- (* v v) 1.0) (cbrt (- 1.0 (* 5.0 (* v v))))) (/ (- (* v v) 1.0) (sqrt (- 1.0 (* 5.0 (* v v))))) (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v)))) (/ (- 1.0 (* 5.0 (* v v))) (- (pow (* v v) 3) (pow 1.0 3))) (/ (- 1.0 (* 5.0 (* v v))) (+ (- (* 1.0 1.0)) (pow v 4))) (* (+ (* (* 5.0 (* v v)) (+ (* 5.0 (* v v)) 1.0)) (* 1.0 1.0)) (- (* v v) 1.0)) (* (- (* v v) 1.0) (+ 1.0 (* 5.0 (* v v)))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (* 5.0 (* v v)) (* 5.0 (* v v)) (* 5.0 (* v v)) (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0) (- (- (/ (- 4.0) (pow v 2)) 5.0) (/ 4.0 (pow v 4))) (- (- (/ (- 4.0) (pow v 2)) 5.0) (/ 4.0 (pow v 4))) 0.372 * * * [progress]: adding candidates to table 0.498 * * [progress]: iteration 2 / 4 0.498 * * * [progress]: picking best candidate 0.502 * * * * [pick]: Picked # 0.502 * * * [progress]: localizing error 0.510 * * * [progress]: generating rewritten candidates 0.510 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.511 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.527 * * * [progress]: generating series expansions 0.527 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.527 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in (v) around 0 0.527 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 0.527 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 0.528 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in (v) around 0 0.528 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 0.528 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 0.530 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in (v) around 0 0.530 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 0.530 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 0.531 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 0.531 * [approximate]: Taking taylor expansion of (* 4.0 (+ (pow v 2) (pow v 4))) in (v) around 0 0.531 * [taylor]: Taking taylor expansion of (* 4.0 (+ (pow v 2) (pow v 4))) in v 0.531 * [taylor]: Taking taylor expansion of 4.0 in v 0.531 * [taylor]: Taking taylor expansion of (+ (pow v 2) (pow v 4)) in v 0.531 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.531 * [taylor]: Taking taylor expansion of v in v 0.531 * [taylor]: Taking taylor expansion of (pow v 4) in v 0.531 * [taylor]: Taking taylor expansion of v in v 0.531 * [taylor]: Taking taylor expansion of (* 4.0 (+ (pow v 2) (pow v 4))) in v 0.531 * [taylor]: Taking taylor expansion of 4.0 in v 0.531 * [taylor]: Taking taylor expansion of (+ (pow v 2) (pow v 4)) in v 0.531 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.531 * [taylor]: Taking taylor expansion of v in v 0.531 * [taylor]: Taking taylor expansion of (pow v 4) in v 0.531 * [taylor]: Taking taylor expansion of v in v 0.552 * [approximate]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in (v) around 0 0.552 * [taylor]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in v 0.552 * [taylor]: Taking taylor expansion of 4.0 in v 0.552 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 0.553 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 0.553 * [taylor]: Taking taylor expansion of (pow v 4) in v 0.553 * [taylor]: Taking taylor expansion of v in v 0.553 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.553 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.553 * [taylor]: Taking taylor expansion of v in v 0.554 * [taylor]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in v 0.554 * [taylor]: Taking taylor expansion of 4.0 in v 0.554 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 0.554 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 0.554 * [taylor]: Taking taylor expansion of (pow v 4) in v 0.554 * [taylor]: Taking taylor expansion of v in v 0.555 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.555 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.555 * [taylor]: Taking taylor expansion of v in v 0.584 * [approximate]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in (v) around 0 0.584 * [taylor]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in v 0.584 * [taylor]: Taking taylor expansion of 4.0 in v 0.584 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 0.584 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 0.584 * [taylor]: Taking taylor expansion of (pow v 4) in v 0.584 * [taylor]: Taking taylor expansion of v in v 0.585 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.585 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.585 * [taylor]: Taking taylor expansion of v in v 0.586 * [taylor]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in v 0.586 * [taylor]: Taking taylor expansion of 4.0 in v 0.586 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 0.586 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 0.586 * [taylor]: Taking taylor expansion of (pow v 4) in v 0.586 * [taylor]: Taking taylor expansion of v in v 0.586 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.586 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.586 * [taylor]: Taking taylor expansion of v in v 0.623 * * * [progress]: simplifying candidates 0.623 * [simplify]: Simplifying using # : (/ PI 2) (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (exp (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (* (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (* (* (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (* 4.0 (+ (pow v 2) (pow v 4))) (+ (log 4.0) (log (+ (pow v 2) (pow v 4)))) (log (* 4.0 (+ (pow v 2) (pow v 4)))) (exp (* 4.0 (+ (pow v 2) (pow v 4)))) (* (* (* 4.0 4.0) 4.0) (* (* (+ (pow v 2) (pow v 4)) (+ (pow v 2) (pow v 4))) (+ (pow v 2) (pow v 4)))) (* (cbrt (* 4.0 (+ (pow v 2) (pow v 4)))) (cbrt (* 4.0 (+ (pow v 2) (pow v 4))))) (cbrt (* 4.0 (+ (pow v 2) (pow v 4)))) (* (* (* 4.0 (+ (pow v 2) (pow v 4))) (* 4.0 (+ (pow v 2) (pow v 4)))) (* 4.0 (+ (pow v 2) (pow v 4)))) (sqrt (* 4.0 (+ (pow v 2) (pow v 4)))) (sqrt (* 4.0 (+ (pow v 2) (pow v 4)))) (* (sqrt 4.0) (sqrt (+ (pow v 2) (pow v 4)))) (* (sqrt 4.0) (sqrt (+ (pow v 2) (pow v 4)))) (* 4.0 (pow v 2)) (* 4.0 (pow v 4)) (* (pow v 2) 4.0) (* (pow v 4) 4.0) (* 4.0 (* (cbrt (+ (pow v 2) (pow v 4))) (cbrt (+ (pow v 2) (pow v 4))))) (* 4.0 (sqrt (+ (pow v 2) (pow v 4)))) (* 4.0 1) (* 4.0 1) (* (cbrt 4.0) (+ (pow v 2) (pow v 4))) (* (sqrt 4.0) (+ (pow v 2) (pow v 4))) (* 4.0 (+ (pow v 2) (pow v 4))) (* 4.0 (+ (pow (pow v 2) 3) (pow (pow v 4) 3))) (* 4.0 (- (* (pow v 2) (pow v 2)) (* (pow v 4) (pow v 4)))) (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 0.627 * * [simplify]: iteration 0 : 159 enodes (cost 240 ) 0.631 * * [simplify]: iteration 1 : 762 enodes (cost 209 ) 0.648 * * [simplify]: iteration 2 : 3891 enodes (cost 208 ) 0.764 * * [simplify]: iteration 3 : 5001 enodes (cost 208 ) 0.765 * [simplify]: Simplified to: (/ PI 2) (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (exp (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (* (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (pow (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) 3) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (* 4.0 (+ (pow v 2) (pow v 4))) (log (* 4.0 (+ (pow v 2) (pow v 4)))) (log (* 4.0 (+ (pow v 2) (pow v 4)))) (exp (* 4.0 (+ (pow v 2) (pow v 4)))) (pow (* 4.0 (+ (pow v 2) (pow v 4))) 3) (* (cbrt (* 4.0 (+ (pow v 2) (pow v 4)))) (cbrt (* 4.0 (+ (pow v 2) (pow v 4))))) (cbrt (* 4.0 (+ (pow v 2) (pow v 4)))) (pow (* 4.0 (+ (pow v 2) (pow v 4))) 3) (sqrt (* 4.0 (+ (pow v 2) (pow v 4)))) (sqrt (* 4.0 (+ (pow v 2) (pow v 4)))) (* (sqrt 4.0) (sqrt (+ (pow v 2) (pow v 4)))) (* (sqrt 4.0) (sqrt (+ (pow v 2) (pow v 4)))) (* 4.0 (pow v 2)) (* 4.0 (pow v 4)) (* 4.0 (pow v 2)) (* 4.0 (pow v 4)) (* 4.0 (* (cbrt (+ (pow v 2) (pow v 4))) (cbrt (+ (pow v 2) (pow v 4))))) (* 4.0 (sqrt (+ (pow v 2) (pow v 4)))) 4.0 4.0 (* (cbrt 4.0) (+ (pow v 2) (pow v 4))) (* (sqrt 4.0) (+ (pow v 2) (pow v 4))) (* 4.0 (+ (pow v 2) (pow v 4))) (* 4.0 (+ (pow v 6) (pow (pow v 4) 3))) (* (+ (pow v 4) (- (pow v 8))) 4.0) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (* 4.0 (+ (pow v 2) (pow v 4))) (* 4.0 (+ (pow v 2) (pow v 4))) (* 4.0 (+ (pow v 2) (pow v 4))) 0.765 * * * [progress]: adding candidates to table 0.830 * * [progress]: iteration 3 / 4 0.830 * * * [progress]: picking best candidate 0.834 * * * * [pick]: Picked # 0.834 * * * [progress]: localizing error 0.845 * * * [progress]: generating rewritten candidates 0.845 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.852 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.853 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.855 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.857 * * * [progress]: generating series expansions 0.857 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.858 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in (v) around 0 0.858 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 0.858 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 0.860 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in (v) around 0 0.860 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 0.860 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 0.861 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in (v) around 0 0.861 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 0.861 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 0.862 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.863 * [approximate]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) in (v) around 0 0.863 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) in v 0.863 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 0.863 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) in v 0.863 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 0.869 * [approximate]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in (v) around 0 0.869 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 0.869 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 0.869 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 0.869 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 0.875 * [approximate]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in (v) around 0 0.875 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 0.875 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 0.876 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 0.876 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 0.881 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.882 * [approximate]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) in (v) around 0 0.882 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) in v 0.882 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 0.882 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) in v 0.882 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 0.887 * [approximate]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in (v) around 0 0.887 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 0.887 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 0.888 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 0.888 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 0.893 * [approximate]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in (v) around 0 0.894 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 0.894 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 0.894 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 0.894 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 0.905 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.905 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in (v) around 0 0.905 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 0.905 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 0.906 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in (v) around 0 0.906 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 0.907 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 0.908 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in (v) around 0 0.908 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 0.908 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 0.909 * * * [progress]: simplifying candidates 0.910 * [simplify]: Simplifying using # : (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (* (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (+ 1 1) (+ (log (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (log (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (log (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (exp (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (* (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (* (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (cbrt (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (cbrt (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (cbrt (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (* (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (sqrt (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (* (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (sqrt (* (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (sqrt (* (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (sqrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* 1 1) (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (* (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (* (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt 1)) (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 1) (* (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (* (sqrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (log (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (exp (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (* (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (* (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (* (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (sqrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt 1) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (/ 1 2) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (log (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (exp (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (* (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (* (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (* (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (sqrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt 1) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (/ 1 2) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (/ PI 2) (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (exp (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (* (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (* (* (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) 0.917 * * [simplify]: iteration 0 : 123 enodes (cost 882 ) 0.921 * * [simplify]: iteration 1 : 451 enodes (cost 782 ) 0.934 * * [simplify]: iteration 2 : 2481 enodes (cost 744 ) 1.025 * * [simplify]: iteration 3 : 5001 enodes (cost 717 ) 1.029 * [simplify]: Simplified to: 1 1 2 1 1 (pow (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 4) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (pow (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 4) 2 (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (exp (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (pow (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) 3) (pow (sqrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 4) (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (pow (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) 3) (pow (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 4) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (pow (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 4) (* (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (pow (sqrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 4) (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 1 (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 1 (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 1 2 1 (pow (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 5) (* (fabs (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (pow (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 4) (* (sqrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (log (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (exp (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (* (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (pow (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 3) (fabs (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 1 (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 1/2 (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (log (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (exp (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (* (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (pow (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 3) (fabs (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 1 (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 1/2 (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (/ PI 2) (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (exp (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (pow (sqrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 4) (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (pow (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) 3) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) 1.030 * * * [progress]: adding candidates to table 1.178 * * [progress]: iteration 4 / 4 1.178 * * * [progress]: picking best candidate 1.189 * * * * [pick]: Picked # 1.189 * * * [progress]: localizing error 1.203 * * * [progress]: generating rewritten candidates 1.203 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.215 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.216 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.218 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 1.222 * * * [progress]: generating series expansions 1.222 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.228 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in (v) around 0 1.228 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 1.228 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 1.230 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in (v) around 0 1.230 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.230 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.231 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in (v) around 0 1.231 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.232 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.233 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.233 * [approximate]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) in (v) around 0 1.233 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) in v 1.233 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 1.233 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) in v 1.234 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 1.239 * [approximate]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in (v) around 0 1.239 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 1.239 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.240 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 1.240 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.245 * [approximate]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in (v) around 0 1.245 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 1.245 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.246 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 1.246 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.251 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.251 * [approximate]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) in (v) around 0 1.251 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) in v 1.251 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 1.252 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) in v 1.252 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 1.257 * [approximate]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in (v) around 0 1.257 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 1.257 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.258 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 1.258 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.264 * [approximate]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in (v) around 0 1.264 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 1.264 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.265 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 1.265 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.270 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 1.270 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in (v) around 0 1.270 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 1.270 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 1.271 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in (v) around 0 1.271 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.272 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.273 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in (v) around 0 1.273 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.273 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.274 * * * [progress]: simplifying candidates 1.276 * [simplify]: Simplifying using # : (+ 3 1) (+ 3 1) (+ (* (log (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (log (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (+ (* (log (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (log (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (+ (log (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3)) (log (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (log (* (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (exp (* (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (* (* (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3) (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3)) (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3)) (* (* (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (cbrt (* (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (cbrt (* (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))))) (cbrt (* (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (* (* (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (sqrt (* (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (sqrt (* (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (sqrt (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3)) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (sqrt (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3)) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (sqrt (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3)) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (sqrt (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3)) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (sqrt (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3)) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (sqrt (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3)) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (/ 3 2)) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (/ 3 2)) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (/ 3 2)) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (/ 3 2)) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (/ 3 2)) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (/ 3 2)) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3) (* (cbrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (cbrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))))) (* (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3) (sqrt (* (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))))) (* (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3) (sqrt (sqrt (* (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))))) (* (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3) (sqrt (sqrt 1))) (* (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3) (sqrt 1)) (* (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3) 1) (* (pow (cbrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (pow (sqrt (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (pow (sqrt (sqrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (cbrt (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3)) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (pow (cbrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (pow (sqrt (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (pow (sqrt (sqrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (* (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (sqrt (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3)) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (/ 3 2)) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (log (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (exp (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (* (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (* (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (* (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (sqrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt 1) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (/ 1 2) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (log (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (exp (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (* (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (* (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (* (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (sqrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt 1) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (/ 1 2) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (/ PI 2) (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (exp (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (* (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (* (* (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) 1.286 * * [simplify]: iteration 0 : 187 enodes (cost 1710 ) 1.291 * * [simplify]: iteration 1 : 832 enodes (cost 1369 ) 1.320 * * [simplify]: iteration 2 : 5001 enodes (cost 1319 ) 1.326 * [simplify]: Simplified to: 4 4 (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (exp (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (pow (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) 3) (* (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (pow (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) 3) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 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1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (* (sqrt (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3)) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (sqrt (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3)) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (sqrt (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3)) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (sqrt (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3)) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (sqrt (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3)) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (sqrt (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3)) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3/2) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3/2) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3/2) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3/2) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3/2) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3/2) (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (* (cbrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (pow (cbrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 4)) (* (fabs (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3)) (* (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3) (sqrt (sqrt (* (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))))) (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3)) (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3) (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3)) (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3) (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (pow (sqrt (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 3)) (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 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(sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (pow (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 3) (fabs (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 1 (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 1/2 (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (log (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (exp (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (* (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (pow (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 3) (fabs (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 1 (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 1/2 (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (/ PI 2) (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (exp (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (* (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (pow (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) 3) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) 1.327 * * * [progress]: adding candidates to table 1.533 * [progress]: [Phase 3 of 3] Extracting. 1.533 * * [regime]: Finding splitpoints for: (# # # # # # #) 1.535 * * * [regime-changes]: Trying 4 branch expressions: ((* v v) (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) v) 1.535 * * * * [regimes]: Trying to branch on (* v v) from (# # # # # # #) 1.567 * * * * [regimes]: Trying to branch on (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) from (# # # # # # #) 1.594 * * * * [regimes]: Trying to branch on (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) from (# # # # # # #) 1.626 * * * * [regimes]: Trying to branch on v from (# # # # # # #) 1.656 * * * [regime]: Found split indices: #