18.473 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.077 * * * [progress]: [2/2] Setting up program. 0.079 * [progress]: [Phase 2 of 3] Improving. 0.079 * [simplify]: Simplifying using # : (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 0.082 * * [simplify]: iteration 0 : 19 enodes (cost 7 ) 0.083 * * [simplify]: iteration 1 : 42 enodes (cost 7 ) 0.085 * * [simplify]: iteration 2 : 77 enodes (cost 7 ) 0.086 * * [simplify]: iteration 3 : 146 enodes (cost 7 ) 0.089 * * [simplify]: iteration 4 : 242 enodes (cost 7 ) 0.093 * * [simplify]: iteration 5 : 417 enodes (cost 7 ) 0.103 * * [simplify]: iteration 6 : 2789 enodes (cost 7 ) 0.175 * * [simplify]: iteration 7 : 5001 enodes (cost 7 ) 0.175 * [simplify]: Simplified to: (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 0.175 * * [progress]: iteration 1 / 4 0.175 * * * [progress]: picking best candidate 0.177 * * * * [pick]: Picked # 0.177 * * * [progress]: localizing error 0.185 * * * [progress]: generating rewritten candidates 0.185 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.185 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1 2) 0.191 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.203 * * * [progress]: generating series expansions 0.203 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.203 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in (v) around 0 0.203 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 0.203 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 0.204 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 0.204 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.204 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.209 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 0.209 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.209 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.210 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1 2) 0.210 * [approximate]: Taking taylor expansion of (* 5.0 (pow v 2)) in (v) around 0 0.210 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.210 * [taylor]: Taking taylor expansion of 5.0 in v 0.210 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.210 * [taylor]: Taking taylor expansion of v in v 0.210 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.210 * [taylor]: Taking taylor expansion of 5.0 in v 0.210 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.210 * [taylor]: Taking taylor expansion of v in v 0.218 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 0.218 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.218 * [taylor]: Taking taylor expansion of 5.0 in v 0.218 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.218 * [taylor]: Taking taylor expansion of v in v 0.219 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.219 * [taylor]: Taking taylor expansion of 5.0 in v 0.219 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.219 * [taylor]: Taking taylor expansion of v in v 0.227 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 0.227 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.227 * [taylor]: Taking taylor expansion of 5.0 in v 0.227 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.227 * [taylor]: Taking taylor expansion of v in v 0.228 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.228 * [taylor]: Taking taylor expansion of 5.0 in v 0.228 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.228 * [taylor]: Taking taylor expansion of v in v 0.235 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.235 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) in (v) around 0 0.235 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) in v 0.235 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (pow v 2))) in v 0.235 * [taylor]: Taking taylor expansion of 1.0 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 0.235 * [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 (- (pow v 2) 1.0) 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 1.0 in v 0.237 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) in v 0.237 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (pow v 2))) in v 0.237 * [taylor]: Taking taylor expansion of 1.0 in v 0.237 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.237 * [taylor]: Taking taylor expansion of 5.0 in v 0.237 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.237 * [taylor]: Taking taylor expansion of v in v 0.237 * [taylor]: Taking taylor expansion of (- (pow v 2) 1.0) in v 0.237 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.237 * [taylor]: Taking taylor expansion of v in v 0.237 * [taylor]: Taking taylor expansion of 1.0 in v 0.255 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in (v) around 0 0.255 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 0.255 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.255 * [taylor]: Taking taylor expansion of 1.0 in v 0.255 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.255 * [taylor]: Taking taylor expansion of 5.0 in v 0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.255 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.255 * [taylor]: Taking taylor expansion of v in v 0.255 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.255 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.255 * [taylor]: Taking taylor expansion of v in v 0.256 * [taylor]: Taking taylor expansion of 1.0 in v 0.258 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 0.258 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.258 * [taylor]: Taking taylor expansion of 1.0 in v 0.258 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.258 * [taylor]: Taking taylor expansion of 5.0 in v 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.258 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.258 * [taylor]: Taking taylor expansion of v in v 0.258 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.258 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.258 * [taylor]: Taking taylor expansion of v in v 0.259 * [taylor]: Taking taylor expansion of 1.0 in v 0.284 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in (v) around 0 0.284 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 0.284 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.284 * [taylor]: Taking taylor expansion of 1.0 in v 0.284 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.284 * [taylor]: Taking taylor expansion of 5.0 in v 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.284 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.284 * [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 0.285 * [taylor]: Taking taylor expansion of 1.0 in v 0.290 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 0.290 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.290 * [taylor]: Taking taylor expansion of 1.0 in v 0.290 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.290 * [taylor]: Taking taylor expansion of 5.0 in v 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.290 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.290 * [taylor]: Taking taylor expansion of v in v 0.290 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.290 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.290 * [taylor]: Taking taylor expansion of v in v 0.291 * [taylor]: Taking taylor expansion of 1.0 in v 0.315 * * * [progress]: simplifying candidates 0.316 * [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))) 0.322 * * [simplify]: iteration 0 : 336 enodes (cost 587 ) 0.328 * * [simplify]: iteration 1 : 1261 enodes (cost 535 ) 0.351 * * [simplify]: iteration 2 : 5002 enodes (cost 531 ) 0.354 * [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))) 0.355 * * * [progress]: adding candidates to table 0.502 * * [progress]: iteration 2 / 4 0.502 * * * [progress]: picking best candidate 0.508 * * * * [pick]: Picked # 0.508 * * * [progress]: localizing error 0.517 * * * [progress]: generating rewritten candidates 0.517 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.517 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.549 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1 2) 0.559 * * * [progress]: generating series expansions 0.559 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.559 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in (v) around 0 0.559 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 0.559 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 0.560 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in (v) around 0 0.561 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 0.561 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 0.562 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in (v) around 0 0.562 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 0.562 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 0.563 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.563 * [approximate]: Taking taylor expansion of (* 4.0 (+ (pow v 2) (pow v 4))) in (v) around 0 0.563 * [taylor]: Taking taylor expansion of (* 4.0 (+ (pow v 2) (pow v 4))) in v 0.563 * [taylor]: Taking taylor expansion of 4.0 in v 0.563 * [taylor]: Taking taylor expansion of (+ (pow v 2) (pow v 4)) in v 0.563 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.563 * [taylor]: Taking taylor expansion of v in v 0.563 * [taylor]: Taking taylor expansion of (pow v 4) in v 0.563 * [taylor]: Taking taylor expansion of v in v 0.563 * [taylor]: Taking taylor expansion of (* 4.0 (+ (pow v 2) (pow v 4))) in v 0.563 * [taylor]: Taking taylor expansion of 4.0 in v 0.563 * [taylor]: Taking taylor expansion of (+ (pow v 2) (pow v 4)) in v 0.563 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.563 * [taylor]: Taking taylor expansion of v in v 0.563 * [taylor]: Taking taylor expansion of (pow v 4) in v 0.563 * [taylor]: Taking taylor expansion of v in v 0.586 * [approximate]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in (v) around 0 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 0.587 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.587 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.587 * [taylor]: Taking taylor expansion of v in v 0.587 * [taylor]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in v 0.587 * [taylor]: Taking taylor expansion of 4.0 in v 0.587 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 0.587 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 0.587 * [taylor]: Taking taylor expansion of (pow v 4) in v 0.587 * [taylor]: Taking taylor expansion of v in v 0.588 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.588 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.588 * [taylor]: Taking taylor expansion of v in v 0.621 * [approximate]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in (v) around 0 0.621 * [taylor]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in v 0.621 * [taylor]: Taking taylor expansion of 4.0 in v 0.621 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 0.621 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 0.621 * [taylor]: Taking taylor expansion of (pow v 4) in v 0.621 * [taylor]: Taking taylor expansion of v in v 0.622 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.622 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.622 * [taylor]: Taking taylor expansion of v in v 0.622 * [taylor]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in v 0.622 * [taylor]: Taking taylor expansion of 4.0 in v 0.622 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 0.622 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 0.622 * [taylor]: Taking taylor expansion of (pow v 4) in v 0.622 * [taylor]: Taking taylor expansion of v in v 0.623 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.623 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.623 * [taylor]: Taking taylor expansion of v in v 0.653 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1 2) 0.653 * [approximate]: Taking taylor expansion of (+ (pow v 2) (pow v 4)) in (v) around 0 0.653 * [taylor]: Taking taylor expansion of (+ (pow v 2) (pow v 4)) in v 0.653 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.653 * [taylor]: Taking taylor expansion of v in v 0.653 * [taylor]: Taking taylor expansion of (pow v 4) in v 0.653 * [taylor]: Taking taylor expansion of v in v 0.653 * [taylor]: Taking taylor expansion of (+ (pow v 2) (pow v 4)) in v 0.653 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.653 * [taylor]: Taking taylor expansion of v in v 0.653 * [taylor]: Taking taylor expansion of (pow v 4) in v 0.653 * [taylor]: Taking taylor expansion of v in v 0.669 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in (v) around 0 0.669 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 0.669 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 0.669 * [taylor]: Taking taylor expansion of (pow v 4) in v 0.669 * [taylor]: Taking taylor expansion of v in v 0.670 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.670 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.670 * [taylor]: Taking taylor expansion of v in v 0.671 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 0.671 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 0.671 * [taylor]: Taking taylor expansion of (pow v 4) in v 0.671 * [taylor]: Taking taylor expansion of v in v 0.671 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.672 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.672 * [taylor]: Taking taylor expansion of v in v 0.697 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in (v) around 0 0.697 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 0.697 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 0.697 * [taylor]: Taking taylor expansion of (pow v 4) in v 0.697 * [taylor]: Taking taylor expansion of v in v 0.698 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.698 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.698 * [taylor]: Taking taylor expansion of v in v 0.699 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 0.699 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 0.699 * [taylor]: Taking taylor expansion of (pow v 4) in v 0.699 * [taylor]: Taking taylor expansion of v in v 0.699 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.699 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.699 * [taylor]: Taking taylor expansion of v in v 0.723 * * * [progress]: simplifying candidates 0.723 * [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)))) (* (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)) (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))) (+ (pow v 2) (pow v 4)) (+ (pow v 2) (pow v 4)) (+ (pow v 2) (pow v 4)) 0.728 * * [simplify]: iteration 0 : 177 enodes (cost 315 ) 0.732 * * [simplify]: iteration 1 : 834 enodes (cost 276 ) 0.751 * * [simplify]: iteration 2 : 4136 enodes (cost 273 ) 0.878 * * [simplify]: iteration 3 : 5001 enodes (cost 273 ) 0.880 * [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) (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)) (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))) (+ (pow v 2) (pow v 4)) (+ (pow v 2) (pow v 4)) (+ (pow v 2) (pow v 4)) 0.880 * * * [progress]: adding candidates to table 0.986 * * [progress]: iteration 3 / 4 0.986 * * * [progress]: picking best candidate 0.992 * * * * [pick]: Picked # 0.992 * * * [progress]: localizing error 1.008 * * * [progress]: generating rewritten candidates 1.008 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 1.008 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 1.038 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.039 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.041 * * * [progress]: generating series expansions 1.041 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 1.041 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in (v) around 0 1.042 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 1.042 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 1.043 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in (v) around 0 1.043 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.043 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.044 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in (v) around 0 1.044 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.044 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.045 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 1.045 * [approximate]: Taking taylor expansion of (* 4.0 (+ (pow v 2) (pow v 4))) in (v) around 0 1.045 * [taylor]: Taking taylor expansion of (* 4.0 (+ (pow v 2) (pow v 4))) in v 1.045 * [taylor]: Taking taylor expansion of 4.0 in v 1.045 * [taylor]: Taking taylor expansion of (+ (pow v 2) (pow v 4)) in v 1.045 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.045 * [taylor]: Taking taylor expansion of v in v 1.045 * [taylor]: Taking taylor expansion of (pow v 4) in v 1.046 * [taylor]: Taking taylor expansion of v in v 1.046 * [taylor]: Taking taylor expansion of (* 4.0 (+ (pow v 2) (pow v 4))) in v 1.046 * [taylor]: Taking taylor expansion of 4.0 in v 1.046 * [taylor]: Taking taylor expansion of (+ (pow v 2) (pow v 4)) in v 1.046 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.046 * [taylor]: Taking taylor expansion of v in v 1.046 * [taylor]: Taking taylor expansion of (pow v 4) in v 1.046 * [taylor]: Taking taylor expansion of v in v 1.067 * [approximate]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in (v) around 0 1.067 * [taylor]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in v 1.067 * [taylor]: Taking taylor expansion of 4.0 in v 1.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 1.067 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 1.067 * [taylor]: Taking taylor expansion of (pow v 4) in v 1.067 * [taylor]: Taking taylor expansion of v in v 1.068 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.068 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.068 * [taylor]: Taking taylor expansion of v in v 1.069 * [taylor]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in v 1.069 * [taylor]: Taking taylor expansion of 4.0 in v 1.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 1.069 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 1.069 * [taylor]: Taking taylor expansion of (pow v 4) in v 1.069 * [taylor]: Taking taylor expansion of v in v 1.069 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.069 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.069 * [taylor]: Taking taylor expansion of v in v 1.103 * [approximate]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in (v) around 0 1.103 * [taylor]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in v 1.103 * [taylor]: Taking taylor expansion of 4.0 in v 1.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 1.103 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 1.103 * [taylor]: Taking taylor expansion of (pow v 4) in v 1.103 * [taylor]: Taking taylor expansion of v in v 1.104 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.104 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.104 * [taylor]: Taking taylor expansion of v in v 1.105 * [taylor]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in v 1.105 * [taylor]: Taking taylor expansion of 4.0 in v 1.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 1.105 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 1.105 * [taylor]: Taking taylor expansion of (pow v 4) in v 1.105 * [taylor]: Taking taylor expansion of v in v 1.106 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.106 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.106 * [taylor]: Taking taylor expansion of v in v 1.135 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.135 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in (v) around 0 1.135 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 1.135 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 1.136 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in (v) around 0 1.136 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.136 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.138 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in (v) around 0 1.138 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.138 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.139 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.139 * [approximate]: Taking taylor expansion of (log (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) in (v) around 0 1.139 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) in v 1.139 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 1.140 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) in v 1.140 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 1.170 * [approximate]: Taking taylor expansion of (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in (v) around 0 1.170 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 1.170 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.171 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 1.171 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.196 * [approximate]: Taking taylor expansion of (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in (v) around 0 1.196 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 1.196 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.197 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 1.197 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.222 * * * [progress]: simplifying candidates 1.223 * [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)))) (exp 1) (exp (* (cbrt (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (exp (sqrt (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (exp 1) (exp (log (* (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (exp (log (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (exp (log (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (exp (log (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (exp (log 1)) (exp (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (log (exp (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (exp (exp (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (cbrt (exp (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (cbrt (exp (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (cbrt (exp (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (* (exp (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (exp (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (exp (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (sqrt (exp (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (sqrt (exp (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (log (* (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (log (cbrt (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)))) (log 1) (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 (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (exp (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (* (cbrt (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (cbrt (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)))) (sqrt (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (log (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)) (+ (* 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))) (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)) (log (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) (log (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) (log (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) 1.227 * * [simplify]: iteration 0 : 193 enodes (cost 551 ) 1.232 * * [simplify]: iteration 1 : 815 enodes (cost 484 ) 1.249 * * [simplify]: iteration 2 : 3988 enodes (cost 468 ) 1.368 * * [simplify]: iteration 3 : 5002 enodes (cost 462 ) 1.370 * [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))) (pow (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 2) (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) E (exp (* (cbrt (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (exp (sqrt (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) E (pow (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 2) (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))) 1 (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 (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 2) (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))) (* 2 (log (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (log (cbrt (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)))) 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 (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (* (cbrt (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (cbrt (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (pow (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 3) (sqrt (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (log (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)) (* 4.0 (+ (pow v 2) (pow v 4))) (* 4.0 (+ (pow v 2) (pow v 4))) (* 4.0 (+ (pow v 2) (pow v 4))) (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)) (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))) 1.371 * * * [progress]: adding candidates to table 1.530 * * [progress]: iteration 4 / 4 1.530 * * * [progress]: picking best candidate 1.543 * * * * [pick]: Picked # 1.543 * * * [progress]: localizing error 1.560 * * * [progress]: generating rewritten candidates 1.560 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 1.560 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 1.561 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.563 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1) 1.564 * * * [progress]: generating series expansions 1.564 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 1.564 * [approximate]: Taking taylor expansion of (pow (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) 1/3) in (v) around 0 1.564 * [taylor]: Taking taylor expansion of (pow (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) 1/3) in v 1.564 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))))) in v 1.564 * [taylor]: Taking taylor expansion of (* 1/3 (log (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)))) in v 1.564 * [taylor]: Taking taylor expansion of 1/3 in v 1.564 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) in v 1.564 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 1.565 * [taylor]: Taking taylor expansion of (pow (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) 1/3) in v 1.565 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))))) in v 1.565 * [taylor]: Taking taylor expansion of (* 1/3 (log (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)))) in v 1.565 * [taylor]: Taking taylor expansion of 1/3 in v 1.565 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) in v 1.565 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 1.608 * [approximate]: Taking taylor expansion of (pow (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) 1/3) in (v) around 0 1.608 * [taylor]: Taking taylor expansion of (pow (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) 1/3) in v 1.608 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))))) in v 1.608 * [taylor]: Taking taylor expansion of (* 1/3 (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)))) in v 1.608 * [taylor]: Taking taylor expansion of 1/3 in v 1.608 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 1.608 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.609 * [taylor]: Taking taylor expansion of (pow (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) 1/3) in v 1.609 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))))) in v 1.609 * [taylor]: Taking taylor expansion of (* 1/3 (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)))) in v 1.609 * [taylor]: Taking taylor expansion of 1/3 in v 1.609 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 1.609 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.656 * [approximate]: Taking taylor expansion of (pow (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) 1/3) in (v) around 0 1.656 * [taylor]: Taking taylor expansion of (pow (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) 1/3) in v 1.656 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))))) in v 1.656 * [taylor]: Taking taylor expansion of (* 1/3 (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)))) in v 1.656 * [taylor]: Taking taylor expansion of 1/3 in v 1.656 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 1.656 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.657 * [taylor]: Taking taylor expansion of (pow (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) 1/3) in v 1.658 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))))) in v 1.658 * [taylor]: Taking taylor expansion of (* 1/3 (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)))) in v 1.658 * [taylor]: Taking taylor expansion of 1/3 in v 1.658 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 1.658 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.700 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 1.700 * [approximate]: Taking taylor expansion of (pow (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) 1/3) in (v) around 0 1.700 * [taylor]: Taking taylor expansion of (pow (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) 1/3) in v 1.700 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))))) in v 1.700 * [taylor]: Taking taylor expansion of (* 1/3 (log (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)))) in v 1.700 * [taylor]: Taking taylor expansion of 1/3 in v 1.700 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) in v 1.700 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 1.701 * [taylor]: Taking taylor expansion of (pow (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) 1/3) in v 1.701 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))))) in v 1.701 * [taylor]: Taking taylor expansion of (* 1/3 (log (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)))) in v 1.701 * [taylor]: Taking taylor expansion of 1/3 in v 1.701 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) in v 1.701 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 1.748 * [approximate]: Taking taylor expansion of (pow (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) 1/3) in (v) around 0 1.748 * [taylor]: Taking taylor expansion of (pow (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) 1/3) in v 1.748 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))))) in v 1.748 * [taylor]: Taking taylor expansion of (* 1/3 (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)))) in v 1.748 * [taylor]: Taking taylor expansion of 1/3 in v 1.748 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 1.748 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.749 * [taylor]: Taking taylor expansion of (pow (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) 1/3) in v 1.749 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))))) in v 1.749 * [taylor]: Taking taylor expansion of (* 1/3 (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)))) in v 1.749 * [taylor]: Taking taylor expansion of 1/3 in v 1.749 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 1.749 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.797 * [approximate]: Taking taylor expansion of (pow (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) 1/3) in (v) around 0 1.797 * [taylor]: Taking taylor expansion of (pow (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) 1/3) in v 1.797 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))))) in v 1.797 * [taylor]: Taking taylor expansion of (* 1/3 (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)))) in v 1.797 * [taylor]: Taking taylor expansion of 1/3 in v 1.797 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 1.797 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.798 * [taylor]: Taking taylor expansion of (pow (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) 1/3) in v 1.798 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))))) in v 1.798 * [taylor]: Taking taylor expansion of (* 1/3 (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)))) in v 1.798 * [taylor]: Taking taylor expansion of 1/3 in v 1.798 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 1.798 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.842 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.842 * [approximate]: Taking taylor expansion of (pow (pow (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) 1/3) 2) in (v) around 0 1.842 * [taylor]: Taking taylor expansion of (pow (pow (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) 1/3) 2) in v 1.842 * [taylor]: Taking taylor expansion of (pow (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) 1/3) in v 1.842 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))))) in v 1.842 * [taylor]: Taking taylor expansion of (* 1/3 (log (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)))) in v 1.842 * [taylor]: Taking taylor expansion of 1/3 in v 1.842 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) in v 1.842 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 1.843 * [taylor]: Taking taylor expansion of (pow (pow (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) 1/3) 2) in v 1.843 * [taylor]: Taking taylor expansion of (pow (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) 1/3) in v 1.843 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))))) in v 1.843 * [taylor]: Taking taylor expansion of (* 1/3 (log (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)))) in v 1.843 * [taylor]: Taking taylor expansion of 1/3 in v 1.843 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) in v 1.843 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 1.898 * [approximate]: Taking taylor expansion of (pow (pow (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) 1/3) 2) in (v) around 0 1.898 * [taylor]: Taking taylor expansion of (pow (pow (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) 1/3) 2) in v 1.898 * [taylor]: Taking taylor expansion of (pow (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) 1/3) in v 1.898 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))))) in v 1.898 * [taylor]: Taking taylor expansion of (* 1/3 (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)))) in v 1.898 * [taylor]: Taking taylor expansion of 1/3 in v 1.898 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 1.898 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.899 * [taylor]: Taking taylor expansion of (pow (pow (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) 1/3) 2) in v 1.899 * [taylor]: Taking taylor expansion of (pow (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) 1/3) in v 1.899 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))))) in v 1.899 * [taylor]: Taking taylor expansion of (* 1/3 (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)))) in v 1.899 * [taylor]: Taking taylor expansion of 1/3 in v 1.899 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 1.899 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.950 * [approximate]: Taking taylor expansion of (pow (pow (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) 1/3) 2) in (v) around 0 1.950 * [taylor]: Taking taylor expansion of (pow (pow (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) 1/3) 2) in v 1.950 * [taylor]: Taking taylor expansion of (pow (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) 1/3) in v 1.950 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))))) in v 1.950 * [taylor]: Taking taylor expansion of (* 1/3 (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)))) in v 1.950 * [taylor]: Taking taylor expansion of 1/3 in v 1.950 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 1.950 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.951 * [taylor]: Taking taylor expansion of (pow (pow (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) 1/3) 2) in v 1.951 * [taylor]: Taking taylor expansion of (pow (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) 1/3) in v 1.951 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))))) in v 1.951 * [taylor]: Taking taylor expansion of (* 1/3 (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)))) in v 1.951 * [taylor]: Taking taylor expansion of 1/3 in v 1.951 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 1.951 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 2.007 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1) 2.008 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in (v) around 0 2.008 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 2.008 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 2.009 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in (v) around 0 2.009 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 2.009 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 2.010 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in (v) around 0 2.010 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 2.010 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 2.011 * * * [progress]: simplifying candidates 2.012 * [simplify]: Simplifying using # : (log (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (exp (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (* (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 (cbrt (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 1) (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (* (cbrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (cbrt (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)))) (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)))) (log (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (exp (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (* (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 (cbrt (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 1) (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (* (cbrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (cbrt (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)))) (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)))) (* (log (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 2) (* (log (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 2) (* 1/3 2) (* 1 2) (pow (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (* (cbrt 2) (cbrt 2))) (pow (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt 2)) (pow (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 1) (pow (cbrt (* (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 2) (pow (cbrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 2) (pow (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 2) (pow (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 2) (pow (cbrt 1) 2) (pow (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 2) (pow (* (cbrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) 2) (pow (cbrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 2) (pow (sqrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 2) (pow (sqrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 2) (pow 1 2) (pow (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 2) (log (pow (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 2)) (exp (pow (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 2)) (* (cbrt (pow (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 2)) (cbrt (pow (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 2))) (cbrt (pow (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 2)) (* (* (pow (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 2) (pow (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 2)) (pow (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 2)) (sqrt (pow (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 2)) (sqrt (pow (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 2)) (pow (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (/ 2 2)) (pow (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (/ 2 2)) (/ 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))) (pow (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) 1/3) (pow (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) 1/3) (pow (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) 1/3) (pow (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) 1/3) (pow (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) 1/3) (pow (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) 1/3) (pow (pow (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) 2) 1/3) (pow (pow (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) 2) 1/3) (pow (pow (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) 2) 1/3) (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)) 2.017 * * [simplify]: iteration 0 : 139 enodes (cost 614 ) 2.021 * * [simplify]: iteration 1 : 431 enodes (cost 542 ) 2.030 * * [simplify]: iteration 2 : 1816 enodes (cost 529 ) 2.079 * * [simplify]: iteration 3 : 5001 enodes (cost 526 ) 2.082 * [simplify]: Simplified to: (log (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (exp (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (pow (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 2)) (cbrt (cbrt (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)))) 1 (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (pow (cbrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 2) (cbrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (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)))) (log (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (exp (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (pow (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 2)) (cbrt (cbrt (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)))) 1 (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (pow (cbrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 2) (cbrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (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)))) (* 2/3 (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (* 2/3 (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 2/3 2 (pow (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (* (cbrt 2) (cbrt 2))) (pow (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt 2)) (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (pow (cbrt (pow (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 2)) 2) (pow (cbrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 2) (pow (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 2) (pow (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 2) 1 (pow (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) 2/3) (pow (cbrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 4) (pow (cbrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 2) (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 1 (pow (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) 2/3) (* 2/3 (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (exp (pow (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 2)) (pow (cbrt (pow (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 2)) 2) (cbrt (pow (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 2)) (pow (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) 2) (fabs (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (fabs (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))) (/ 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 (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) 2/3) (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 (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) 1/2) (pow (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) 1/2) (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))) (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)) 2/3) (pow (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) 2/3) (pow (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) 2/3) (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)) 2.082 * * * [progress]: adding candidates to table 2.257 * [progress]: [Phase 3 of 3] Extracting. 2.257 * * [regime]: Finding splitpoints for: (# # # # #) 2.259 * * * [regime-changes]: Trying 1 branch expressions: (v) 2.259 * * * * [regimes]: Trying to branch on v from (# # # # #) 2.286 * * * [regime]: Found split indices: #