10.827 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.081 * * * [progress]: [2/2] Setting up program. 0.083 * [progress]: [Phase 2 of 3] Improving. 0.083 * [simplify]: Simplifying using # : (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 0.085 * * [simplify]: iteration 0 : 19 enodes (cost 7 ) 0.086 * * [simplify]: iteration 1 : 42 enodes (cost 7 ) 0.088 * * [simplify]: iteration 2 : 77 enodes (cost 7 ) 0.090 * * [simplify]: iteration 3 : 146 enodes (cost 7 ) 0.092 * * [simplify]: iteration 4 : 242 enodes (cost 7 ) 0.095 * * [simplify]: iteration 5 : 417 enodes (cost 7 ) 0.105 * * [simplify]: iteration 6 : 2789 enodes (cost 7 ) 0.176 * * [simplify]: iteration 7 : 5001 enodes (cost 7 ) 0.176 * [simplify]: Simplified to: (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 0.176 * * [progress]: iteration 1 / 4 0.176 * * * [progress]: picking best candidate 0.178 * * * * [pick]: Picked # 0.178 * * * [progress]: localizing error 0.185 * * * [progress]: generating rewritten candidates 0.185 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.186 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1 2) 0.193 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.204 * * * [progress]: generating series expansions 0.205 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.205 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in (v) around 0 0.205 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 0.205 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 0.206 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 0.206 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.206 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.207 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 0.207 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.207 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.208 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1 2) 0.208 * [approximate]: Taking taylor expansion of (* 5.0 (pow v 2)) in (v) around 0 0.208 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.208 * [taylor]: Taking taylor expansion of 5.0 in v 0.208 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.208 * [taylor]: Taking taylor expansion of v in v 0.208 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.208 * [taylor]: Taking taylor expansion of 5.0 in v 0.208 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.208 * [taylor]: Taking taylor expansion of v in v 0.217 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 0.217 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.217 * [taylor]: Taking taylor expansion of 5.0 in v 0.217 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.217 * [taylor]: Taking taylor expansion of v in v 0.217 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.217 * [taylor]: Taking taylor expansion of 5.0 in v 0.217 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.217 * [taylor]: Taking taylor expansion of v in v 0.225 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 0.225 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.225 * [taylor]: Taking taylor expansion of 5.0 in v 0.225 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.225 * [taylor]: Taking taylor expansion of v in v 0.225 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.225 * [taylor]: Taking taylor expansion of 5.0 in v 0.225 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.225 * [taylor]: Taking taylor expansion of v in v 0.233 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.233 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) in (v) around 0 0.233 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) in v 0.233 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (pow v 2))) in v 0.233 * [taylor]: Taking taylor expansion of 1.0 in v 0.233 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.233 * [taylor]: Taking taylor expansion of 5.0 in v 0.233 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.233 * [taylor]: Taking taylor expansion of v in v 0.234 * [taylor]: Taking taylor expansion of (- (pow v 2) 1.0) in v 0.234 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.234 * [taylor]: Taking taylor expansion of v in v 0.234 * [taylor]: Taking taylor expansion of 1.0 in v 0.239 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) in v 0.239 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (pow v 2))) in v 0.239 * [taylor]: Taking taylor expansion of 1.0 in v 0.239 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.239 * [taylor]: Taking taylor expansion of 5.0 in v 0.239 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.239 * [taylor]: Taking taylor expansion of v in v 0.239 * [taylor]: Taking taylor expansion of (- (pow v 2) 1.0) in v 0.239 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.239 * [taylor]: Taking taylor expansion of v in v 0.239 * [taylor]: Taking taylor expansion of 1.0 in v 0.257 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in (v) around 0 0.257 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 0.257 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.257 * [taylor]: Taking taylor expansion of 1.0 in v 0.257 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.257 * [taylor]: Taking taylor expansion of 5.0 in v 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.257 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.257 * [taylor]: Taking taylor expansion of v in v 0.257 * [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 0.258 * [taylor]: Taking taylor expansion of 1.0 in v 0.260 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 0.260 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.260 * [taylor]: Taking taylor expansion of 1.0 in v 0.260 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.260 * [taylor]: Taking taylor expansion of 5.0 in v 0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.260 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.260 * [taylor]: Taking taylor expansion of v in v 0.260 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.260 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.260 * [taylor]: Taking taylor expansion of v in v 0.261 * [taylor]: Taking taylor expansion of 1.0 in v 0.286 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in (v) around 0 0.286 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 0.286 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.286 * [taylor]: Taking taylor expansion of 1.0 in v 0.286 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.286 * [taylor]: Taking taylor expansion of 5.0 in v 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.286 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.286 * [taylor]: Taking taylor expansion of v in v 0.287 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.287 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.287 * [taylor]: Taking taylor expansion of v in v 0.287 * [taylor]: Taking taylor expansion of 1.0 in v 0.289 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 0.289 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.289 * [taylor]: Taking taylor expansion of 1.0 in v 0.289 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.289 * [taylor]: Taking taylor expansion of 5.0 in v 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.289 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.289 * [taylor]: Taking taylor expansion of v in v 0.289 * [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 0.290 * [taylor]: Taking taylor expansion of 1.0 in v 0.319 * * * [progress]: simplifying candidates 0.321 * [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))) 0.326 * * [simplify]: iteration 0 : 336 enodes (cost 587 ) 0.332 * * [simplify]: iteration 1 : 1261 enodes (cost 535 ) 0.354 * * [simplify]: iteration 2 : 5002 enodes (cost 531 ) 0.357 * [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))) 0.357 * * * [progress]: adding candidates to table 0.503 * * [progress]: iteration 2 / 4 0.503 * * * [progress]: picking best candidate 0.508 * * * * [pick]: Picked # 0.509 * * * [progress]: localizing error 0.518 * * * [progress]: generating rewritten candidates 0.518 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.519 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1 2) 0.525 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2) 0.531 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 0.536 * * * [progress]: generating series expansions 0.536 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.536 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in (v) around 0 0.536 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 0.536 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 0.537 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 0.537 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.538 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.539 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 0.539 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.539 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.540 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1 2) 0.540 * [approximate]: Taking taylor expansion of (* 5.0 (pow v 2)) in (v) around 0 0.540 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.540 * [taylor]: Taking taylor expansion of 5.0 in v 0.540 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.540 * [taylor]: Taking taylor expansion of v in v 0.540 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.540 * [taylor]: Taking taylor expansion of 5.0 in v 0.540 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.540 * [taylor]: Taking taylor expansion of v in v 0.548 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 0.548 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.548 * [taylor]: Taking taylor expansion of 5.0 in v 0.548 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.548 * [taylor]: Taking taylor expansion of v in v 0.549 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.549 * [taylor]: Taking taylor expansion of 5.0 in v 0.549 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.549 * [taylor]: Taking taylor expansion of v in v 0.556 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 0.556 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.556 * [taylor]: Taking taylor expansion of 5.0 in v 0.556 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.556 * [taylor]: Taking taylor expansion of v in v 0.557 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.557 * [taylor]: Taking taylor expansion of 5.0 in v 0.557 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.557 * [taylor]: Taking taylor expansion of v in v 0.568 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2) 0.568 * [approximate]: Taking taylor expansion of (* 5.0 (pow v 2)) in (v) around 0 0.568 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.568 * [taylor]: Taking taylor expansion of 5.0 in v 0.568 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.568 * [taylor]: Taking taylor expansion of v in v 0.568 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.568 * [taylor]: Taking taylor expansion of 5.0 in v 0.568 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.568 * [taylor]: Taking taylor expansion of v in v 0.576 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 0.576 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.576 * [taylor]: Taking taylor expansion of 5.0 in v 0.576 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.576 * [taylor]: Taking taylor expansion of v in v 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 0.577 * [taylor]: Taking taylor expansion of v in v 0.584 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 0.584 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.584 * [taylor]: Taking taylor expansion of 5.0 in v 0.584 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.584 * [taylor]: Taking taylor expansion of v in v 0.585 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.585 * [taylor]: Taking taylor expansion of 5.0 in v 0.585 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.585 * [taylor]: Taking taylor expansion of v in v 0.593 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 0.593 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (* 5.0 (pow v 2)))) in (v) around 0 0.593 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* 5.0 (pow v 2)))) in v 0.593 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (pow v 2))) in v 0.593 * [taylor]: Taking taylor expansion of 1.0 in v 0.593 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.593 * [taylor]: Taking taylor expansion of 5.0 in v 0.593 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.593 * [taylor]: Taking taylor expansion of v in v 0.594 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* 5.0 (pow v 2)))) 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 0.610 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (* 5.0 (/ 1 (pow v 2))))) in (v) around 0 0.610 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* 5.0 (/ 1 (pow v 2))))) in v 0.610 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.610 * [taylor]: Taking taylor expansion of 1.0 in v 0.610 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.610 * [taylor]: Taking taylor expansion of 5.0 in v 0.610 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.611 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.611 * [taylor]: Taking taylor expansion of v in v 0.615 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* 5.0 (/ 1 (pow v 2))))) in v 0.615 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.615 * [taylor]: Taking taylor expansion of 1.0 in v 0.615 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.615 * [taylor]: Taking taylor expansion of 5.0 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 0.639 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (* 5.0 (/ 1 (pow v 2))))) in (v) around 0 0.639 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* 5.0 (/ 1 (pow v 2))))) in v 0.639 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.639 * [taylor]: Taking taylor expansion of 1.0 in v 0.639 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.639 * [taylor]: Taking taylor expansion of 5.0 in v 0.639 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.639 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.639 * [taylor]: Taking taylor expansion of v in v 0.649 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* 5.0 (/ 1 (pow v 2))))) in v 0.649 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.649 * [taylor]: Taking taylor expansion of 1.0 in v 0.649 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.649 * [taylor]: Taking taylor expansion of 5.0 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 0.672 * * * [progress]: simplifying candidates 0.673 * [simplify]: Simplifying using # : (/ PI 2) (asin (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)))) (log (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))) (exp (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))) (* (cbrt (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))) (cbrt (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)))))) (cbrt (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))) (* (* (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)))) (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))) (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))) (sqrt (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))) (sqrt (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 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)) (* 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 (sqrt (- 1.0 (* 5.0 (* v v))))) (exp (sqrt (- 1.0 (* 5.0 (* v v))))) (* (cbrt (sqrt (- 1.0 (* 5.0 (* v v))))) (cbrt (sqrt (- 1.0 (* 5.0 (* v v)))))) (cbrt (sqrt (- 1.0 (* 5.0 (* v v))))) (* (* (sqrt (- 1.0 (* 5.0 (* v v)))) (sqrt (- 1.0 (* 5.0 (* v v))))) (sqrt (- 1.0 (* 5.0 (* v v))))) (sqrt (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v)))))) (sqrt (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (sqrt (- 1.0 (* 5.0 (* v v))))) (sqrt (sqrt (- 1.0 (* 5.0 (* v v))))) (sqrt 1) (sqrt (- 1.0 (* 5.0 (* v v)))) (sqrt (- (pow 1.0 3) (pow (* 5.0 (* v v)) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* 5.0 (* v v)) (* 5.0 (* v v))) (* 1.0 (* 5.0 (* v v)))))) (sqrt (- (* 1.0 1.0) (* (* 5.0 (* v v)) (* 5.0 (* v v))))) (sqrt (+ 1.0 (* 5.0 (* v v)))) (/ 1 2) (sqrt (sqrt (- 1.0 (* 5.0 (* v v))))) (sqrt (sqrt (- 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)) (* 5.0 (pow v 2)) (* 5.0 (pow v 2)) (* 5.0 (pow v 2)) (- (sqrt 1.0) (+ (* 2.5 (/ (pow v 2) (sqrt 1.0))) (* 3.125 (/ (pow v 4) (pow (sqrt 1.0) 3))))) (- (+ (* v (sqrt (- 5.0))) (* 0.5 (/ 1 (* v (sqrt (- 5.0)))))) (* 0.125 (/ 1 (* (pow v 3) (pow (sqrt (- 5.0)) 3))))) (- (* 0.125 (/ 1 (* (pow v 3) (pow (sqrt (- 5.0)) 3)))) (+ (* v (sqrt (- 5.0))) (* 0.5 (/ 1 (* v (sqrt (- 5.0))))))) 0.678 * * [simplify]: iteration 0 : 251 enodes (cost 456 ) 0.682 * * [simplify]: iteration 1 : 833 enodes (cost 404 ) 0.699 * * [simplify]: iteration 2 : 3934 enodes (cost 402 ) 0.780 * * [simplify]: iteration 3 : 5001 enodes (cost 402 ) 0.782 * [simplify]: Simplified to: (/ PI 2) (asin (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)))) (log (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))) (exp (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))) (* (cbrt (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))) (cbrt (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)))))) (cbrt (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 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 (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))) (sqrt (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 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 (* v v)) 3) (pow (* 5.0 (* v v)) 3) (* (cbrt (* 5.0 (* v v))) (cbrt (* 5.0 (* v v)))) (cbrt (* 5.0 (* v v))) (pow (* 5.0 (* v v)) 3) (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)) (* 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 (* v v)) 3) (pow (* 5.0 (* v v)) 3) (* (cbrt (* 5.0 (* v v))) (cbrt (* 5.0 (* v v)))) (cbrt (* 5.0 (* v v))) (pow (* 5.0 (* v v)) 3) (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 (sqrt (- 1.0 (* 5.0 (* v v))))) (exp (sqrt (- 1.0 (* 5.0 (* v v))))) (* (cbrt (sqrt (- 1.0 (* 5.0 (* v v))))) (cbrt (sqrt (- 1.0 (* 5.0 (* v v)))))) (cbrt (sqrt (- 1.0 (* 5.0 (* v v))))) (pow (sqrt (- 1.0 (* 5.0 (* v v)))) 3) (fabs (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (sqrt (- 1.0 (* 5.0 (* v v))))) (sqrt (sqrt (- 1.0 (* 5.0 (* v v))))) (sqrt 1) (sqrt (- 1.0 (* 5.0 (* v v)))) (sqrt (- (pow 1.0 3) (pow (* 5.0 (* v v)) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* 5.0 (* v v)) (* 5.0 (* v v))) (* 1.0 (* 5.0 (* v v)))))) (sqrt (- (* 1.0 1.0) (* (* 5.0 (* v v)) (* 5.0 (* v v))))) (sqrt (+ 1.0 (* 5.0 (* v v)))) 1/2 (sqrt (sqrt (- 1.0 (* 5.0 (* v v))))) (sqrt (sqrt (- 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)) (* 5.0 (* v v)) (* 5.0 (* v v)) (* 5.0 (* v v)) (- (sqrt 1.0) (+ (* 2.5 (/ (pow v 2) (sqrt 1.0))) (* 3.125 (/ (pow v 4) (pow (sqrt 1.0) 3))))) (+ (+ (/ (- 0.125) (* (pow v 3) (pow (sqrt (- 5.0)) 3))) (/ (/ 0.5 (sqrt (- 5.0))) v)) (* v (sqrt (- 5.0)))) (- (/ (/ 0.125 (pow (sqrt (- 5.0)) 3)) (pow v 3)) (- (* v (sqrt (- 5.0))) (/ (- 0.5) (* v (sqrt (- 5.0)))))) 0.782 * * * [progress]: adding candidates to table 0.944 * * [progress]: iteration 3 / 4 0.944 * * * [progress]: picking best candidate 0.948 * * * * [pick]: Picked # 0.948 * * * [progress]: localizing error 0.959 * * * [progress]: generating rewritten candidates 0.959 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.960 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.992 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1 2) 1.002 * * * [progress]: generating series expansions 1.002 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.002 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in (v) around 0 1.002 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 1.003 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 1.004 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in (v) around 0 1.004 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.004 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.005 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in (v) around 0 1.005 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.006 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.006 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 1.007 * [approximate]: Taking taylor expansion of (* 4.0 (+ (pow v 2) (pow v 4))) in (v) around 0 1.007 * [taylor]: Taking taylor expansion of (* 4.0 (+ (pow v 2) (pow v 4))) in v 1.007 * [taylor]: Taking taylor expansion of 4.0 in v 1.007 * [taylor]: Taking taylor expansion of (+ (pow v 2) (pow v 4)) in v 1.007 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.007 * [taylor]: Taking taylor expansion of v in v 1.007 * [taylor]: Taking taylor expansion of (pow v 4) in v 1.007 * [taylor]: Taking taylor expansion of v in v 1.007 * [taylor]: Taking taylor expansion of (* 4.0 (+ (pow v 2) (pow v 4))) in v 1.007 * [taylor]: Taking taylor expansion of 4.0 in v 1.007 * [taylor]: Taking taylor expansion of (+ (pow v 2) (pow v 4)) in v 1.007 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.007 * [taylor]: Taking taylor expansion of v in v 1.007 * [taylor]: Taking taylor expansion of (pow v 4) in v 1.007 * [taylor]: Taking taylor expansion of v in v 1.032 * [approximate]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in (v) around 0 1.033 * [taylor]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in v 1.033 * [taylor]: Taking taylor expansion of 4.0 in v 1.033 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 1.033 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 1.033 * [taylor]: Taking taylor expansion of (pow v 4) in v 1.033 * [taylor]: Taking taylor expansion of v in v 1.033 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.033 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.033 * [taylor]: Taking taylor expansion of v in v 1.034 * [taylor]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in v 1.034 * [taylor]: Taking taylor expansion of 4.0 in v 1.034 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 1.034 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 1.034 * [taylor]: Taking taylor expansion of (pow v 4) in v 1.034 * [taylor]: Taking taylor expansion of v in v 1.035 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.035 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.035 * [taylor]: Taking taylor expansion of v in v 1.065 * [approximate]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in (v) around 0 1.065 * [taylor]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in v 1.065 * [taylor]: Taking taylor expansion of 4.0 in v 1.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 1.065 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 1.065 * [taylor]: Taking taylor expansion of (pow v 4) in v 1.065 * [taylor]: Taking taylor expansion of v in v 1.065 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.065 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.065 * [taylor]: Taking taylor expansion of v in v 1.066 * [taylor]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in v 1.066 * [taylor]: Taking taylor expansion of 4.0 in v 1.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 1.066 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 1.066 * [taylor]: Taking taylor expansion of (pow v 4) in v 1.066 * [taylor]: Taking taylor expansion of v in v 1.067 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.067 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.067 * [taylor]: Taking taylor expansion of v in v 1.096 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1 2) 1.096 * [approximate]: Taking taylor expansion of (+ (pow v 2) (pow v 4)) in (v) around 0 1.096 * [taylor]: Taking taylor expansion of (+ (pow v 2) (pow v 4)) in v 1.096 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.096 * [taylor]: Taking taylor expansion of v in v 1.096 * [taylor]: Taking taylor expansion of (pow v 4) in v 1.096 * [taylor]: Taking taylor expansion of v in v 1.097 * [taylor]: Taking taylor expansion of (+ (pow v 2) (pow v 4)) in v 1.097 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.097 * [taylor]: Taking taylor expansion of v in v 1.097 * [taylor]: Taking taylor expansion of (pow v 4) in v 1.097 * [taylor]: Taking taylor expansion of v in v 1.117 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in (v) around 0 1.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 1.117 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 1.117 * [taylor]: Taking taylor expansion of (pow v 4) in v 1.117 * [taylor]: Taking taylor expansion of v in v 1.117 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.117 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.117 * [taylor]: Taking taylor expansion of v in v 1.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 1.118 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 1.118 * [taylor]: Taking taylor expansion of (pow v 4) in v 1.118 * [taylor]: Taking taylor expansion of v in v 1.119 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.119 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.119 * [taylor]: Taking taylor expansion of v in v 1.142 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in (v) around 0 1.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 1.142 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 1.142 * [taylor]: Taking taylor expansion of (pow v 4) in v 1.142 * [taylor]: Taking taylor expansion of v in v 1.143 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.143 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.143 * [taylor]: Taking taylor expansion of v in v 1.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 1.143 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 1.143 * [taylor]: Taking taylor expansion of (pow v 4) in v 1.143 * [taylor]: Taking taylor expansion of v in v 1.144 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.144 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.144 * [taylor]: Taking taylor expansion of v in v 1.167 * * * [progress]: simplifying candidates 1.168 * [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)) 1.172 * * [simplify]: iteration 0 : 177 enodes (cost 315 ) 1.176 * * [simplify]: iteration 1 : 834 enodes (cost 276 ) 1.193 * * [simplify]: iteration 2 : 4136 enodes (cost 273 ) 1.316 * * [simplify]: iteration 3 : 5002 enodes (cost 273 ) 1.318 * [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)) 1.318 * * * [progress]: adding candidates to table 1.427 * * [progress]: iteration 4 / 4 1.428 * * * [progress]: picking best candidate 1.432 * * * * [pick]: Picked # 1.432 * * * [progress]: localizing error 1.443 * * * [progress]: generating rewritten candidates 1.443 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.450 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.450 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.451 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.453 * * * [progress]: generating series expansions 1.453 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.454 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in (v) around 0 1.454 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 1.454 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 1.456 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in (v) around 0 1.456 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.456 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.457 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in (v) around 0 1.457 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.458 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.459 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.459 * [approximate]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) in (v) around 0 1.459 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) in v 1.459 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 1.460 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) in v 1.460 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 1.465 * [approximate]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in (v) around 0 1.465 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 1.465 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.466 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 1.466 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.472 * [approximate]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in (v) around 0 1.472 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 1.472 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.473 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 1.473 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.478 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.478 * [approximate]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) in (v) around 0 1.478 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) in v 1.478 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 1.479 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) in v 1.479 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 1.484 * [approximate]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in (v) around 0 1.484 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 1.484 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.485 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 1.485 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.491 * [approximate]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in (v) around 0 1.491 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 1.491 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.492 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 1.492 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.497 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.498 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in (v) around 0 1.498 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 1.498 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 1.499 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in (v) around 0 1.499 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.499 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.504 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in (v) around 0 1.504 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.504 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 1.505 * * * [progress]: simplifying candidates 1.506 * [simplify]: Simplifying using # : (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (* (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (+ 1 1) (+ (log (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (log (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (log (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (exp (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (* (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (* (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (cbrt (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (cbrt (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (cbrt (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (* (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (sqrt (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (* (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (sqrt (* (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (sqrt (* (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (sqrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* 1 1) (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (* (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (* (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))))) (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt 1)) (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 1) (* (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (* (sqrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (log (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (exp (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (* (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (* (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (* (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (sqrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt 1) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (/ 1 2) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (log (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (exp (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (* (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (* (* (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (* (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (sqrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt 1) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (/ 1 2) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (/ PI 2) (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (exp (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (* (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (* (* (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) 1.513 * * [simplify]: iteration 0 : 123 enodes (cost 882 ) 1.516 * * [simplify]: iteration 1 : 451 enodes (cost 782 ) 1.528 * * [simplify]: iteration 2 : 2481 enodes (cost 744 ) 1.615 * * [simplify]: iteration 3 : 5001 enodes (cost 717 ) 1.618 * [simplify]: Simplified to: 1 1 2 1 1 (pow (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 4) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (pow (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 4) 2 (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (exp (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (pow (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) 3) (pow (sqrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 4) (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (pow (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) 3) (pow (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 4) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (pow (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 4) (* (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (pow (sqrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 4) (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 1 (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 1 (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 1 2 1 (pow (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 5) (* (fabs (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (pow (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 4) (* (sqrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (pow (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 3) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (log (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (exp (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (* (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (pow (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 3) (fabs (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 1 (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 1/2 (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (log (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (exp (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (* (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))))) (cbrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (pow (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 3) (fabs (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 1 (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) 1/2 (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) (/ PI 2) (asin (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (log (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (exp (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (pow (sqrt (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)))) 4) (cbrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (pow (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) 3) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) (acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)) 1.619 * * * [progress]: adding candidates to table 1.772 * [progress]: [Phase 3 of 3] Extracting. 1.772 * * [regime]: Finding splitpoints for: (# # # # #) 1.773 * * * [regime-changes]: Trying 2 branch expressions: ((* v v) v) 1.773 * * * * [regimes]: Trying to branch on (* v v) from (# # # # #) 1.796 * * * * [regimes]: Trying to branch on v from (# # # # #) 1.817 * * * [regime]: Found split indices: #