8.785 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.095 * * * [progress]: [2/2] Setting up program. 0.097 * [progress]: [Phase 2 of 3] Improving. 0.097 * [simplify]: Simplifying using # : (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 0.100 * * [simplify]: iteration 0 : 19 enodes (cost 7 ) 0.102 * * [simplify]: iteration 1 : 42 enodes (cost 7 ) 0.103 * * [simplify]: iteration 2 : 77 enodes (cost 7 ) 0.105 * * [simplify]: iteration 3 : 146 enodes (cost 7 ) 0.108 * * [simplify]: iteration 4 : 242 enodes (cost 7 ) 0.112 * * [simplify]: iteration 5 : 417 enodes (cost 7 ) 0.124 * * [simplify]: iteration 6 : 2789 enodes (cost 7 ) 0.201 * * [simplify]: iteration 7 : 5001 enodes (cost 7 ) 0.201 * [simplify]: Simplified to: (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 0.201 * * [progress]: iteration 1 / 4 0.201 * * * [progress]: picking best candidate 0.203 * * * * [pick]: Picked # 0.203 * * * [progress]: localizing error 0.215 * * * [progress]: generating rewritten candidates 0.215 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.216 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1 2) 0.222 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.232 * * * [progress]: generating series expansions 0.232 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.232 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in (v) around 0 0.232 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 0.232 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 0.233 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 0.233 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.233 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.234 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 0.234 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.235 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.235 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1 2) 0.235 * [approximate]: Taking taylor expansion of (* 5.0 (pow v 2)) in (v) around 0 0.235 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.235 * [taylor]: Taking taylor expansion of 5.0 in v 0.235 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.235 * [taylor]: Taking taylor expansion of v in v 0.235 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.235 * [taylor]: Taking taylor expansion of 5.0 in v 0.236 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.236 * [taylor]: Taking taylor expansion of v in v 0.244 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 0.244 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.244 * [taylor]: Taking taylor expansion of 5.0 in v 0.244 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.244 * [taylor]: Taking taylor expansion of v in v 0.245 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.245 * [taylor]: Taking taylor expansion of 5.0 in v 0.245 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.245 * [taylor]: Taking taylor expansion of v in v 0.253 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 0.253 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.253 * [taylor]: Taking taylor expansion of 5.0 in v 0.253 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.253 * [taylor]: Taking taylor expansion of v in v 0.253 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.253 * [taylor]: Taking taylor expansion of 5.0 in v 0.253 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.253 * [taylor]: Taking taylor expansion of v in v 0.261 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.261 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) in (v) around 0 0.261 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) in v 0.261 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (pow v 2))) in v 0.261 * [taylor]: Taking taylor expansion of 1.0 in v 0.261 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.261 * [taylor]: Taking taylor expansion of 5.0 in v 0.261 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.261 * [taylor]: Taking taylor expansion of v in v 0.261 * [taylor]: Taking taylor expansion of (- (pow v 2) 1.0) in v 0.261 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.261 * [taylor]: Taking taylor expansion of v in v 0.261 * [taylor]: Taking taylor expansion of 1.0 in v 0.263 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) in v 0.263 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (pow v 2))) in v 0.263 * [taylor]: Taking taylor expansion of 1.0 in v 0.263 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.263 * [taylor]: Taking taylor expansion of 5.0 in v 0.263 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.263 * [taylor]: Taking taylor expansion of v in v 0.263 * [taylor]: Taking taylor expansion of (- (pow v 2) 1.0) in v 0.263 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.263 * [taylor]: Taking taylor expansion of v in v 0.263 * [taylor]: Taking taylor expansion of 1.0 in v 0.281 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in (v) around 0 0.282 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 0.282 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.282 * [taylor]: Taking taylor expansion of 1.0 in v 0.282 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.282 * [taylor]: Taking taylor expansion of 5.0 in v 0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.282 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.282 * [taylor]: Taking taylor expansion of v in v 0.282 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.282 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.282 * [taylor]: Taking taylor expansion of v in v 0.283 * [taylor]: Taking taylor expansion of 1.0 in v 0.285 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 0.285 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.285 * [taylor]: Taking taylor expansion of 1.0 in v 0.285 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.285 * [taylor]: Taking taylor expansion of 5.0 in v 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.285 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.285 * [taylor]: Taking taylor expansion of v in v 0.285 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.285 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.285 * [taylor]: Taking taylor expansion of v in v 0.286 * [taylor]: Taking taylor expansion of 1.0 in v 0.315 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in (v) around 0 0.315 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 0.315 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.315 * [taylor]: Taking taylor expansion of 1.0 in v 0.316 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.316 * [taylor]: Taking taylor expansion of 5.0 in v 0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.316 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.316 * [taylor]: Taking taylor expansion of v in v 0.316 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.316 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.316 * [taylor]: Taking taylor expansion of v in v 0.317 * [taylor]: Taking taylor expansion of 1.0 in v 0.318 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 0.319 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.319 * [taylor]: Taking taylor expansion of 1.0 in v 0.319 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.319 * [taylor]: Taking taylor expansion of 5.0 in v 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.319 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.319 * [taylor]: Taking taylor expansion of v in v 0.319 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.319 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.319 * [taylor]: Taking taylor expansion of v in v 0.320 * [taylor]: Taking taylor expansion of 1.0 in v 0.345 * * * [progress]: simplifying candidates 0.346 * [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))) 0.352 * * [simplify]: iteration 0 : 336 enodes (cost 587 ) 0.359 * * [simplify]: iteration 1 : 1261 enodes (cost 535 ) 0.383 * * [simplify]: iteration 2 : 5002 enodes (cost 531 ) 0.386 * [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))) 0.387 * * * [progress]: adding candidates to table 0.520 * * [progress]: iteration 2 / 4 0.520 * * * [progress]: picking best candidate 0.528 * * * * [pick]: Picked # 0.528 * * * [progress]: localizing error 0.541 * * * [progress]: generating rewritten candidates 0.541 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.542 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 0.548 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.556 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.565 * * * [progress]: generating series expansions 0.565 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.565 * [approximate]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in (v) around 0 0.565 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 0.565 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 0.567 * [approximate]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 0.567 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.567 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.568 * [approximate]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 0.568 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.568 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.569 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 0.569 * [approximate]: Taking taylor expansion of (* 5.0 (pow v 2)) in (v) around 0 0.569 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.569 * [taylor]: Taking taylor expansion of 5.0 in v 0.569 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.569 * [taylor]: Taking taylor expansion of v in v 0.569 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.569 * [taylor]: Taking taylor expansion of 5.0 in v 0.569 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.569 * [taylor]: Taking taylor expansion of v in v 0.577 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 0.577 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.577 * [taylor]: Taking taylor expansion of 5.0 in v 0.577 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.578 * [taylor]: Taking taylor expansion of v in v 0.578 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.578 * [taylor]: Taking taylor expansion of 5.0 in v 0.578 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.578 * [taylor]: Taking taylor expansion of v in v 0.586 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 0.586 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.586 * [taylor]: Taking taylor expansion of 5.0 in v 0.586 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.586 * [taylor]: Taking taylor expansion of v in v 0.586 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.586 * [taylor]: Taking taylor expansion of 5.0 in v 0.587 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.587 * [taylor]: Taking taylor expansion of v in v 0.594 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.594 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) in (v) around 0 0.594 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) in v 0.594 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (pow v 2))) in v 0.594 * [taylor]: Taking taylor expansion of 1.0 in v 0.594 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.594 * [taylor]: Taking taylor expansion of 5.0 in v 0.594 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.594 * [taylor]: Taking taylor expansion of v in v 0.594 * [taylor]: Taking taylor expansion of (- (pow v 2) 1.0) in v 0.594 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.594 * [taylor]: Taking taylor expansion of v in v 0.594 * [taylor]: Taking taylor expansion of 1.0 in v 0.596 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) in v 0.596 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (pow v 2))) in v 0.596 * [taylor]: Taking taylor expansion of 1.0 in v 0.596 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.596 * [taylor]: Taking taylor expansion of 5.0 in v 0.596 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.596 * [taylor]: Taking taylor expansion of v in v 0.596 * [taylor]: Taking taylor expansion of (- (pow v 2) 1.0) in v 0.596 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.596 * [taylor]: Taking taylor expansion of v in v 0.596 * [taylor]: Taking taylor expansion of 1.0 in v 0.614 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in (v) around 0 0.614 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 0.614 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.614 * [taylor]: Taking taylor expansion of 1.0 in v 0.614 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.614 * [taylor]: Taking taylor expansion of 5.0 in v 0.614 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.614 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.614 * [taylor]: Taking taylor expansion of v in v 0.615 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 0.615 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.615 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.615 * [taylor]: Taking taylor expansion of v in v 0.615 * [taylor]: Taking taylor expansion of 1.0 in v 0.618 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 0.618 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.618 * [taylor]: Taking taylor expansion of 1.0 in v 0.618 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.618 * [taylor]: Taking taylor expansion of 5.0 in v 0.618 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.618 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.618 * [taylor]: Taking taylor expansion of v in v 0.618 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 0.618 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.618 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.618 * [taylor]: Taking taylor expansion of v in v 0.619 * [taylor]: Taking taylor expansion of 1.0 in v 0.648 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in (v) around 0 0.648 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 0.648 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.648 * [taylor]: Taking taylor expansion of 1.0 in v 0.648 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.648 * [taylor]: Taking taylor expansion of 5.0 in v 0.648 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.648 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.648 * [taylor]: Taking taylor expansion of v in v 0.649 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.649 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.649 * [taylor]: Taking taylor expansion of v in v 0.649 * [taylor]: Taking taylor expansion of 1.0 in v 0.651 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 0.651 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.651 * [taylor]: Taking taylor expansion of 1.0 in v 0.651 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.651 * [taylor]: Taking taylor expansion of 5.0 in v 0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.651 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.651 * [taylor]: Taking taylor expansion of v in v 0.652 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 0.652 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.652 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.652 * [taylor]: Taking taylor expansion of v in v 0.652 * [taylor]: Taking taylor expansion of 1.0 in v 0.678 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.679 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) in (v) around 0 0.679 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) in v 0.679 * [taylor]: Taking taylor expansion of (* 1/2 PI) in v 0.679 * [taylor]: Taking taylor expansion of 1/2 in v 0.679 * [taylor]: Taking taylor expansion of PI in v 0.679 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 0.679 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) in v 0.679 * [taylor]: Taking taylor expansion of (* 1/2 PI) in v 0.679 * [taylor]: Taking taylor expansion of 1/2 in v 0.679 * [taylor]: Taking taylor expansion of PI in v 0.679 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 0.689 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in (v) around 0 0.689 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 0.689 * [taylor]: Taking taylor expansion of (* 1/2 PI) in v 0.689 * [taylor]: Taking taylor expansion of 1/2 in v 0.690 * [taylor]: Taking taylor expansion of PI in v 0.690 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.690 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 0.690 * [taylor]: Taking taylor expansion of (* 1/2 PI) in v 0.690 * [taylor]: Taking taylor expansion of 1/2 in v 0.690 * [taylor]: Taking taylor expansion of PI in v 0.690 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.700 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in (v) around 0 0.700 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 0.700 * [taylor]: Taking taylor expansion of (* 1/2 PI) in v 0.700 * [taylor]: Taking taylor expansion of 1/2 in v 0.700 * [taylor]: Taking taylor expansion of PI in v 0.700 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.700 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 0.700 * [taylor]: Taking taylor expansion of (* 1/2 PI) in v 0.700 * [taylor]: Taking taylor expansion of 1/2 in v 0.700 * [taylor]: Taking taylor expansion of PI in v 0.700 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.713 * * * [progress]: simplifying candidates 0.714 * [simplify]: Simplifying using # : (/ PI 2) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (log (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (exp (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (* (cbrt (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (cbrt (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (* (* (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (asin (/ (- 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)))) (/ (exp (/ PI 2)) (exp (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (log (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (exp (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (* (cbrt (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (cbrt (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (cbrt (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (* (* (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (sqrt (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (sqrt (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (- (pow (/ PI 2) 3) (pow (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (* (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (- (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (- (* (/ PI 2) (/ PI 2)) (* (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (+ (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (+ (sqrt (/ PI 2)) (sqrt (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (- (sqrt (/ PI 2)) (sqrt (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (- (/ PI 2) (/ PI 2)) (- (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (asin (/ (- 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))) (- (* 1/2 PI) (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) (- (* 1/2 PI) (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) (- (* 1/2 PI) (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) 0.721 * * [simplify]: iteration 0 : 409 enodes (cost 840 ) 0.729 * * [simplify]: iteration 1 : 1459 enodes (cost 784 ) 0.754 * * [simplify]: iteration 2 : 5001 enodes (cost 780 ) 0.759 * [simplify]: Simplified to: (/ PI 2) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (log (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (exp (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) (* (cbrt (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (cbrt (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (pow (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 3) (sqrt (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (asin (/ (- 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)))) (exp (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (log (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (exp (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (* (cbrt (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (cbrt (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (cbrt (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (pow (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) 3) (sqrt (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (sqrt (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (- (pow (/ PI 2) 3) (pow (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 3)) (+ (* (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (+ (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (/ PI 2))) (* (/ PI 2) (/ PI 2))) (- (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) (- (* (/ PI 2) (/ PI 2)) (* (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (+ (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (+ (sqrt (/ PI 2)) (sqrt (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (- (sqrt (/ PI 2)) (sqrt (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) 0 (- (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (asin (/ (- 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))) (- (* 1/2 PI) (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) (- (* 1/2 PI) (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) (- (* 1/2 PI) (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) 0.759 * * * [progress]: adding candidates to table 0.934 * * [progress]: iteration 3 / 4 0.934 * * * [progress]: picking best candidate 0.949 * * * * [pick]: Picked # 0.949 * * * [progress]: localizing error 0.958 * * * [progress]: generating rewritten candidates 0.958 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.959 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1 2) 0.966 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.977 * * * [progress]: generating series expansions 0.977 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.977 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in (v) around 0 0.977 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 0.977 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 0.978 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in (v) around 0 0.978 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 0.979 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 0.980 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in (v) around 0 0.980 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 0.980 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 0.981 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1 2) 0.981 * [approximate]: Taking taylor expansion of (+ (pow v 2) (pow v 4)) in (v) around 0 0.981 * [taylor]: Taking taylor expansion of (+ (pow v 2) (pow v 4)) in v 0.981 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.981 * [taylor]: Taking taylor expansion of v in v 0.981 * [taylor]: Taking taylor expansion of (pow v 4) in v 0.981 * [taylor]: Taking taylor expansion of v in v 0.981 * [taylor]: Taking taylor expansion of (+ (pow v 2) (pow v 4)) in v 0.981 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.981 * [taylor]: Taking taylor expansion of v in v 0.981 * [taylor]: Taking taylor expansion of (pow v 4) in v 0.981 * [taylor]: Taking taylor expansion of v in v 0.997 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in (v) around 0 0.997 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 0.998 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 0.998 * [taylor]: Taking taylor expansion of (pow v 4) in v 0.998 * [taylor]: Taking taylor expansion of v in v 0.998 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.998 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.998 * [taylor]: Taking taylor expansion of v in v 0.999 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 0.999 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 0.999 * [taylor]: Taking taylor expansion of (pow v 4) in v 0.999 * [taylor]: Taking taylor expansion of v in v 1.000 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.000 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.000 * [taylor]: Taking taylor expansion of v in v 1.026 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in (v) around 0 1.026 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 1.026 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 1.026 * [taylor]: Taking taylor expansion of (pow v 4) in v 1.026 * [taylor]: Taking taylor expansion of v in v 1.027 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.027 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.027 * [taylor]: Taking taylor expansion of v in v 1.028 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 1.028 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 1.028 * [taylor]: Taking taylor expansion of (pow v 4) in v 1.028 * [taylor]: Taking taylor expansion of v in v 1.028 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.028 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.029 * [taylor]: Taking taylor expansion of v in v 1.053 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 1.053 * [approximate]: Taking taylor expansion of (* 4.0 (+ (pow v 2) (pow v 4))) in (v) around 0 1.053 * [taylor]: Taking taylor expansion of (* 4.0 (+ (pow v 2) (pow v 4))) in v 1.053 * [taylor]: Taking taylor expansion of 4.0 in v 1.053 * [taylor]: Taking taylor expansion of (+ (pow v 2) (pow v 4)) in v 1.053 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.053 * [taylor]: Taking taylor expansion of v in v 1.053 * [taylor]: Taking taylor expansion of (pow v 4) in v 1.053 * [taylor]: Taking taylor expansion of v in v 1.053 * [taylor]: Taking taylor expansion of (* 4.0 (+ (pow v 2) (pow v 4))) in v 1.053 * [taylor]: Taking taylor expansion of 4.0 in v 1.053 * [taylor]: Taking taylor expansion of (+ (pow v 2) (pow v 4)) in v 1.053 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.053 * [taylor]: Taking taylor expansion of v in v 1.053 * [taylor]: Taking taylor expansion of (pow v 4) in v 1.053 * [taylor]: Taking taylor expansion of v in v 1.075 * [approximate]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in (v) around 0 1.075 * [taylor]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in v 1.075 * [taylor]: Taking taylor expansion of 4.0 in v 1.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 1.075 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 1.075 * [taylor]: Taking taylor expansion of (pow v 4) in v 1.075 * [taylor]: Taking taylor expansion of v in v 1.076 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.076 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.076 * [taylor]: Taking taylor expansion of v in v 1.077 * [taylor]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in v 1.077 * [taylor]: Taking taylor expansion of 4.0 in v 1.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 1.077 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 1.077 * [taylor]: Taking taylor expansion of (pow v 4) in v 1.077 * [taylor]: Taking taylor expansion of v in v 1.077 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.077 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.077 * [taylor]: Taking taylor expansion of v in v 1.110 * [approximate]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in (v) around 0 1.110 * [taylor]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in v 1.110 * [taylor]: Taking taylor expansion of 4.0 in v 1.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 1.110 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 1.110 * [taylor]: Taking taylor expansion of (pow v 4) in v 1.110 * [taylor]: Taking taylor expansion of v in v 1.111 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.111 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.111 * [taylor]: Taking taylor expansion of v in v 1.111 * [taylor]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in v 1.111 * [taylor]: Taking taylor expansion of 4.0 in v 1.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 1.111 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 1.111 * [taylor]: Taking taylor expansion of (pow v 4) in v 1.111 * [taylor]: Taking taylor expansion of v in v 1.112 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.112 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.112 * [taylor]: Taking taylor expansion of v in v 1.142 * * * [progress]: simplifying candidates 1.143 * [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))) (* (exp (pow v 2)) (exp (pow v 4))) (log (+ (pow v 2) (pow v 4))) (exp (+ (pow v 2) (pow v 4))) (* (cbrt (+ (pow v 2) (pow v 4))) (cbrt (+ (pow v 2) (pow v 4)))) (cbrt (+ (pow v 2) (pow v 4))) (* (* (+ (pow v 2) (pow v 4)) (+ (pow v 2) (pow v 4))) (+ (pow v 2) (pow v 4))) (sqrt (+ (pow v 2) (pow v 4))) (sqrt (+ (pow v 2) (pow v 4))) (+ (pow (pow v 2) 3) (pow (pow v 4) 3)) (+ (* (pow v 2) (pow v 2)) (- (* (pow v 4) (pow v 4)) (* (pow v 2) (pow v 4)))) (- (* (pow v 2) (pow v 2)) (* (pow v 4) (pow v 4))) (- (pow v 2) (pow v 4)) (+ (pow v 2) (pow v 4)) (* 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)) (+ (pow v 2) (pow v 4)) (+ (pow v 2) (pow v 4)) (+ (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 (pow v 2)) (* 4.0 (pow v 4))) 1.147 * * [simplify]: iteration 0 : 177 enodes (cost 315 ) 1.152 * * [simplify]: iteration 1 : 834 enodes (cost 276 ) 1.169 * * [simplify]: iteration 2 : 4136 enodes (cost 273 ) 1.297 * * [simplify]: iteration 3 : 5002 enodes (cost 273 ) 1.299 * [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))) (exp (+ (pow v 2) (pow v 4))) (log (+ (pow v 2) (pow v 4))) (exp (+ (pow v 2) (pow v 4))) (* (cbrt (+ (pow v 2) (pow v 4))) (cbrt (+ (pow v 2) (pow v 4)))) (cbrt (+ (pow v 2) (pow v 4))) (pow (+ (pow v 2) (pow v 4)) 3) (sqrt (+ (pow v 2) (pow v 4))) (sqrt (+ (pow v 2) (pow v 4))) (* (+ (pow v 6) 1) (pow v 6)) (+ (pow v 8) (- (pow v 4) (pow v 6))) (+ (pow v 4) (- (pow v 8))) (- (pow v 2) (pow v 4)) (+ (pow v 2) (pow v 4)) (* 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)) (+ (pow v 2) (pow v 4)) (+ (pow v 2) (pow v 4)) (+ (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))) 1.299 * * * [progress]: adding candidates to table 1.388 * * [progress]: iteration 4 / 4 1.389 * * * [progress]: picking best candidate 1.405 * * * * [pick]: Picked # 1.405 * * * [progress]: localizing error 1.417 * * * [progress]: generating rewritten candidates 1.417 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.418 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.425 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2) 1.432 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 1.443 * * * [progress]: generating series expansions 1.443 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.444 * [approximate]: Taking taylor expansion of (asin (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in (v) around 0 1.444 * [taylor]: Taking taylor expansion of (asin (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 1.444 * [taylor]: Taking taylor expansion of (asin (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 1.445 * [approximate]: Taking taylor expansion of (asin (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in (v) around 0 1.445 * [taylor]: Taking taylor expansion of (asin (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.445 * [taylor]: Taking taylor expansion of (asin (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.446 * [approximate]: Taking taylor expansion of (asin (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in (v) around 0 1.446 * [taylor]: Taking taylor expansion of (asin (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.447 * [taylor]: Taking taylor expansion of (asin (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.448 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.448 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) in (v) around 0 1.448 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) in v 1.448 * [taylor]: Taking taylor expansion of (* 1/2 PI) in v 1.448 * [taylor]: Taking taylor expansion of 1/2 in v 1.448 * [taylor]: Taking taylor expansion of PI in v 1.448 * [taylor]: Taking taylor expansion of (asin (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 1.449 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) in v 1.449 * [taylor]: Taking taylor expansion of (* 1/2 PI) in v 1.449 * [taylor]: Taking taylor expansion of 1/2 in v 1.449 * [taylor]: Taking taylor expansion of PI in v 1.449 * [taylor]: Taking taylor expansion of (asin (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 1.459 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in (v) around 0 1.459 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 1.459 * [taylor]: Taking taylor expansion of (* 1/2 PI) in v 1.459 * [taylor]: Taking taylor expansion of 1/2 in v 1.459 * [taylor]: Taking taylor expansion of PI in v 1.459 * [taylor]: Taking taylor expansion of (asin (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.459 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 1.460 * [taylor]: Taking taylor expansion of (* 1/2 PI) in v 1.460 * [taylor]: Taking taylor expansion of 1/2 in v 1.460 * [taylor]: Taking taylor expansion of PI in v 1.460 * [taylor]: Taking taylor expansion of (asin (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.470 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in (v) around 0 1.470 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 1.470 * [taylor]: Taking taylor expansion of (* 1/2 PI) in v 1.470 * [taylor]: Taking taylor expansion of 1/2 in v 1.470 * [taylor]: Taking taylor expansion of PI in v 1.470 * [taylor]: Taking taylor expansion of (asin (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.471 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 1.471 * [taylor]: Taking taylor expansion of (* 1/2 PI) in v 1.471 * [taylor]: Taking taylor expansion of 1/2 in v 1.471 * [taylor]: Taking taylor expansion of PI in v 1.471 * [taylor]: Taking taylor expansion of (asin (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.483 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2) 1.483 * [approximate]: Taking taylor expansion of (+ (pow v 2) (pow v 4)) in (v) around 0 1.483 * [taylor]: Taking taylor expansion of (+ (pow v 2) (pow v 4)) in v 1.483 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.483 * [taylor]: Taking taylor expansion of v in v 1.484 * [taylor]: Taking taylor expansion of (pow v 4) in v 1.484 * [taylor]: Taking taylor expansion of v in v 1.484 * [taylor]: Taking taylor expansion of (+ (pow v 2) (pow v 4)) in v 1.484 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.484 * [taylor]: Taking taylor expansion of v in v 1.484 * [taylor]: Taking taylor expansion of (pow v 4) in v 1.484 * [taylor]: Taking taylor expansion of v in v 1.499 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in (v) around 0 1.499 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 1.499 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 1.499 * [taylor]: Taking taylor expansion of (pow v 4) in v 1.499 * [taylor]: Taking taylor expansion of v in v 1.500 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.500 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.500 * [taylor]: Taking taylor expansion of v in v 1.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 1.500 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 1.500 * [taylor]: Taking taylor expansion of (pow v 4) in v 1.500 * [taylor]: Taking taylor expansion of v in v 1.501 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.501 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.501 * [taylor]: Taking taylor expansion of v in v 1.525 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in (v) around 0 1.525 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 1.525 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 1.525 * [taylor]: Taking taylor expansion of (pow v 4) in v 1.525 * [taylor]: Taking taylor expansion of v in v 1.526 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.526 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.526 * [taylor]: Taking taylor expansion of v in v 1.526 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 1.526 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 1.526 * [taylor]: Taking taylor expansion of (pow v 4) in v 1.526 * [taylor]: Taking taylor expansion of v in v 1.527 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.527 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.527 * [taylor]: Taking taylor expansion of v in v 1.550 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 1.550 * [approximate]: Taking taylor expansion of (* 4.0 (+ (pow v 2) (pow v 4))) in (v) around 0 1.550 * [taylor]: Taking taylor expansion of (* 4.0 (+ (pow v 2) (pow v 4))) in v 1.550 * [taylor]: Taking taylor expansion of 4.0 in v 1.550 * [taylor]: Taking taylor expansion of (+ (pow v 2) (pow v 4)) in v 1.550 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.550 * [taylor]: Taking taylor expansion of v in v 1.551 * [taylor]: Taking taylor expansion of (pow v 4) in v 1.551 * [taylor]: Taking taylor expansion of v in v 1.551 * [taylor]: Taking taylor expansion of (* 4.0 (+ (pow v 2) (pow v 4))) in v 1.551 * [taylor]: Taking taylor expansion of 4.0 in v 1.551 * [taylor]: Taking taylor expansion of (+ (pow v 2) (pow v 4)) in v 1.551 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.551 * [taylor]: Taking taylor expansion of v in v 1.551 * [taylor]: Taking taylor expansion of (pow v 4) in v 1.551 * [taylor]: Taking taylor expansion of v in v 1.575 * [approximate]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in (v) around 0 1.575 * [taylor]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in v 1.575 * [taylor]: Taking taylor expansion of 4.0 in v 1.575 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 1.575 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 1.575 * [taylor]: Taking taylor expansion of (pow v 4) in v 1.575 * [taylor]: Taking taylor expansion of v in v 1.576 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.576 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.576 * [taylor]: Taking taylor expansion of v in v 1.576 * [taylor]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in v 1.576 * [taylor]: Taking taylor expansion of 4.0 in v 1.576 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 1.576 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 1.576 * [taylor]: Taking taylor expansion of (pow v 4) in v 1.576 * [taylor]: Taking taylor expansion of v in v 1.577 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.577 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.577 * [taylor]: Taking taylor expansion of v in v 1.607 * [approximate]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in (v) around 0 1.607 * [taylor]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in v 1.607 * [taylor]: Taking taylor expansion of 4.0 in v 1.607 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 1.607 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 1.607 * [taylor]: Taking taylor expansion of (pow v 4) in v 1.607 * [taylor]: Taking taylor expansion of v in v 1.608 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.608 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.608 * [taylor]: Taking taylor expansion of v in v 1.608 * [taylor]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in v 1.608 * [taylor]: Taking taylor expansion of 4.0 in v 1.608 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 1.608 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 1.608 * [taylor]: Taking taylor expansion of (pow v 4) in v 1.608 * [taylor]: Taking taylor expansion of v in v 1.609 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.609 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.609 * [taylor]: Taking taylor expansion of v in v 1.642 * * * [progress]: simplifying candidates 1.643 * [simplify]: Simplifying using # : (/ PI 2) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (log (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (exp (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (* (cbrt (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (cbrt (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (* (* (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (/ (exp (/ PI 2)) (exp (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (log (- (/ PI 2) (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (exp (- (/ PI 2) (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (* (cbrt (- (/ PI 2) (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (- (/ PI 2) (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (cbrt (- (/ PI 2) (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (* (* (- (/ PI 2) (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (- (/ PI 2) (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (- (/ PI 2) (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (- (/ PI 2) (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (- (/ PI 2) (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (- (pow (/ PI 2) 3) (pow (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (* (/ PI 2) (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (- (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (- (* (/ PI 2) (/ PI 2)) (* (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (+ (/ PI 2) (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (+ (sqrt (/ PI 2)) (sqrt (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (- (sqrt (/ PI 2)) (sqrt (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (- (/ PI 2) (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (- (/ PI 2) (/ PI 2)) (- (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (* (exp (pow v 2)) (exp (pow v 4))) (log (+ (pow v 2) (pow v 4))) (exp (+ (pow v 2) (pow v 4))) (* (cbrt (+ (pow v 2) (pow v 4))) (cbrt (+ (pow v 2) (pow v 4)))) (cbrt (+ (pow v 2) (pow v 4))) (* (* (+ (pow v 2) (pow v 4)) (+ (pow v 2) (pow v 4))) (+ (pow v 2) (pow v 4))) (sqrt (+ (pow v 2) (pow v 4))) (sqrt (+ (pow v 2) (pow v 4))) (+ (pow (pow v 2) 3) (pow (pow v 4) 3)) (+ (* (pow v 2) (pow v 2)) (- (* (pow v 4) (pow v 4)) (* (pow v 2) (pow v 4)))) (- (* (pow v 2) (pow v 2)) (* (pow v 4) (pow v 4))) (- (pow v 2) (pow v 4)) (+ (pow v 2) (pow v 4)) (* 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)))) (asin (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) (asin (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) (asin (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) (- (* 1/2 PI) (asin (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) (- (* 1/2 PI) (asin (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) (- (* 1/2 PI) (asin (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) (+ (pow v 2) (pow v 4)) (+ (pow v 2) (pow v 4)) (+ (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 (pow v 2)) (* 4.0 (pow v 4))) 1.648 * * [simplify]: iteration 0 : 250 enodes (cost 546 ) 1.653 * * [simplify]: iteration 1 : 1032 enodes (cost 503 ) 1.675 * * [simplify]: iteration 2 : 4958 enodes (cost 497 ) 1.848 * * [simplify]: iteration 3 : 5001 enodes (cost 497 ) 1.852 * [simplify]: Simplified to: (/ PI 2) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (log (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (exp (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (* (cbrt (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (cbrt (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (pow (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) 3) (sqrt (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (exp (- (/ PI 2) (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (log (- (/ PI 2) (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (exp (- (/ PI 2) (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (* (cbrt (- (/ PI 2) (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (- (/ PI 2) (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (cbrt (- (/ PI 2) (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (pow (- (/ PI 2) (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 3) (sqrt (- (/ PI 2) (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (- (/ PI 2) (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (- (pow (/ PI 2) 3) (pow (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) 3)) (+ (* (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (+ (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (/ PI 2))) (* (/ PI 2) (/ PI 2))) (- (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (- (* (/ PI 2) (/ PI 2)) (* (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (+ (/ PI 2) (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (+ (sqrt (/ PI 2)) (sqrt (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (- (sqrt (/ PI 2)) (sqrt (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (- (/ PI 2) (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 0 (- (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (exp (+ (pow v 2) (pow v 4))) (log (+ (pow v 2) (pow v 4))) (exp (+ (pow v 2) (pow v 4))) (* (cbrt (+ (pow v 2) (pow v 4))) (cbrt (+ (pow v 2) (pow v 4)))) (cbrt (+ (pow v 2) (pow v 4))) (pow (+ (pow v 2) (pow v 4)) 3) (sqrt (+ (pow v 2) (pow v 4))) (sqrt (+ (pow v 2) (pow v 4))) (* (+ (pow v 6) 1) (pow v 6)) (+ (pow v 8) (- (pow v 4) (pow v 6))) (+ (pow v 4) (- (pow v 8))) (- (pow v 2) (pow v 4)) (+ (pow v 2) (pow v 4)) (* 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) (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (- (/ PI 2) (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (- (/ PI 2) (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (- (/ PI 2) (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (+ (pow v 2) (pow v 4)) (+ (pow v 2) (pow v 4)) (+ (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))) 1.852 * * * [progress]: adding candidates to table 1.991 * [progress]: [Phase 3 of 3] Extracting. 1.991 * * [regime]: Finding splitpoints for: (# # # # # #) 1.993 * * * [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) 1.993 * * * * [regimes]: Trying to branch on (* v v) from (# # # # # #) 2.015 * * * * [regimes]: Trying to branch on (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) from (# # # # # #) 2.040 * * * * [regimes]: Trying to branch on (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) from (# # # # # #) 2.063 * * * * [regimes]: Trying to branch on v from (# # # # # #) 2.090 * * * [regime]: Found split indices: #