6.781 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 2.234 * * * [progress]: [2/2] Setting up program. 2.237 * [progress]: [Phase 2 of 3] Improving. 2.237 * [simplify]: Simplifying using # : (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 2.239 * * [simplify]: iteration 0 : 19 enodes (cost 7 ) 2.240 * * [simplify]: iteration 1 : 42 enodes (cost 7 ) 2.241 * * [simplify]: iteration 2 : 77 enodes (cost 7 ) 2.243 * * [simplify]: iteration 3 : 146 enodes (cost 7 ) 2.245 * * [simplify]: iteration 4 : 242 enodes (cost 7 ) 2.248 * * [simplify]: iteration 5 : 417 enodes (cost 7 ) 2.260 * * [simplify]: iteration 6 : 2789 enodes (cost 7 ) 2.337 * * [simplify]: iteration 7 : 5002 enodes (cost 7 ) 2.337 * [simplify]: Simplified to: (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 2.338 * * [progress]: iteration 1 / 4 2.338 * * * [progress]: picking best candidate 2.340 * * * * [pick]: Picked # 2.340 * * * [progress]: localizing error 2.347 * * * [progress]: generating rewritten candidates 2.347 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 2.348 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1 2) 2.354 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 2.363 * * * [progress]: generating series expansions 2.363 * * * * [progress]: [ 1 / 3 ] generating series at (2) 2.363 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in (v) around 0 2.364 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 2.364 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 2.364 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 2.364 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 2.365 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 2.365 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 2.365 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 2.366 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 2.366 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1 2) 2.367 * [approximate]: Taking taylor expansion of (* 5.0 (pow v 2)) in (v) around 0 2.367 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 2.367 * [taylor]: Taking taylor expansion of 5.0 in v 2.367 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.367 * [taylor]: Taking taylor expansion of v in v 2.367 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 2.367 * [taylor]: Taking taylor expansion of 5.0 in v 2.367 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.367 * [taylor]: Taking taylor expansion of v in v 2.368 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 2.368 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 2.368 * [taylor]: Taking taylor expansion of 5.0 in v 2.368 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.368 * [taylor]: Taking taylor expansion of v in v 2.368 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 2.368 * [taylor]: Taking taylor expansion of 5.0 in v 2.368 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.368 * [taylor]: Taking taylor expansion of v in v 2.369 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 2.369 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 2.369 * [taylor]: Taking taylor expansion of 5.0 in v 2.369 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.369 * [taylor]: Taking taylor expansion of v in v 2.369 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 2.369 * [taylor]: Taking taylor expansion of 5.0 in v 2.369 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.369 * [taylor]: Taking taylor expansion of v in v 2.370 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 2.370 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) in (v) around 0 2.370 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) in v 2.370 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (pow v 2))) in v 2.370 * [taylor]: Taking taylor expansion of 1.0 in v 2.370 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 2.370 * [taylor]: Taking taylor expansion of 5.0 in v 2.370 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.370 * [taylor]: Taking taylor expansion of v in v 2.370 * [taylor]: Taking taylor expansion of (- (pow v 2) 1.0) in v 2.370 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.370 * [taylor]: Taking taylor expansion of v in v 2.370 * [taylor]: Taking taylor expansion of 1.0 in v 2.370 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) in v 2.370 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (pow v 2))) in v 2.370 * [taylor]: Taking taylor expansion of 1.0 in v 2.370 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 2.370 * [taylor]: Taking taylor expansion of 5.0 in v 2.370 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.370 * [taylor]: Taking taylor expansion of v in v 2.370 * [taylor]: Taking taylor expansion of (- (pow v 2) 1.0) in v 2.370 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.370 * [taylor]: Taking taylor expansion of v in v 2.370 * [taylor]: Taking taylor expansion of 1.0 in v 2.371 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in (v) around 0 2.371 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 2.371 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 2.371 * [taylor]: Taking taylor expansion of 1.0 in v 2.371 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 2.371 * [taylor]: Taking taylor expansion of 5.0 in v 2.371 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.371 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.371 * [taylor]: Taking taylor expansion of v in v 2.371 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 2.371 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.371 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.371 * [taylor]: Taking taylor expansion of v in v 2.372 * [taylor]: Taking taylor expansion of 1.0 in v 2.372 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 2.372 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 2.372 * [taylor]: Taking taylor expansion of 1.0 in v 2.372 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 2.372 * [taylor]: Taking taylor expansion of 5.0 in v 2.372 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.372 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.372 * [taylor]: Taking taylor expansion of v in v 2.372 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 2.372 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.372 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.372 * [taylor]: Taking taylor expansion of v in v 2.372 * [taylor]: Taking taylor expansion of 1.0 in v 2.373 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in (v) around 0 2.373 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 2.373 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 2.373 * [taylor]: Taking taylor expansion of 1.0 in v 2.373 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 2.373 * [taylor]: Taking taylor expansion of 5.0 in v 2.373 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.373 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.373 * [taylor]: Taking taylor expansion of v in v 2.373 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 2.373 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.374 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.374 * [taylor]: Taking taylor expansion of v in v 2.374 * [taylor]: Taking taylor expansion of 1.0 in v 2.374 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 2.374 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 2.374 * [taylor]: Taking taylor expansion of 1.0 in v 2.374 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 2.374 * [taylor]: Taking taylor expansion of 5.0 in v 2.374 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.374 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.374 * [taylor]: Taking taylor expansion of v in v 2.374 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 2.374 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.374 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.374 * [taylor]: Taking taylor expansion of v in v 2.374 * [taylor]: Taking taylor expansion of 1.0 in v 2.375 * * * [progress]: simplifying candidates 2.376 * [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))) (neg (- 1.0 (* 5.0 (* v v)))) (neg (- (* 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) (neg (+ (* 4.0 (/ 1 (pow v 2))) (+ (* 4.0 (/ 1 (pow v 4))) 5.0))) (neg (+ (* 4.0 (/ 1 (pow v 2))) (+ (* 4.0 (/ 1 (pow v 4))) 5.0))) 2.381 * * [simplify]: iteration 0 : 336 enodes (cost 587 ) 2.387 * * [simplify]: iteration 1 : 1261 enodes (cost 535 ) 2.409 * * [simplify]: iteration 2 : 5002 enodes (cost 531 ) 2.414 * [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))) (neg (- 1.0 (* 5.0 (* v v)))) (neg (- (* 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))) (+ (neg (* 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) (- (- (/ (neg 4.0) (pow v 2)) 5.0) (/ 4.0 (pow v 4))) (- (- (/ (neg 4.0) (pow v 2)) 5.0) (/ 4.0 (pow v 4))) 2.415 * * * [progress]: adding candidates to table 2.521 * * [progress]: iteration 2 / 4 2.521 * * * [progress]: picking best candidate 2.534 * * * * [pick]: Picked # 2.534 * * * [progress]: localizing error 2.544 * * * [progress]: generating rewritten candidates 2.544 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.546 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 2.551 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 2.559 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.568 * * * [progress]: generating series expansions 2.568 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.568 * [approximate]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in (v) around 0 2.568 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 2.568 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 2.569 * [approximate]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 2.569 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 2.569 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 2.570 * [approximate]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 2.570 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 2.570 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 2.571 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 2.571 * [approximate]: Taking taylor expansion of (* 5.0 (pow v 2)) in (v) around 0 2.571 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 2.571 * [taylor]: Taking taylor expansion of 5.0 in v 2.571 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.571 * [taylor]: Taking taylor expansion of v in v 2.571 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 2.571 * [taylor]: Taking taylor expansion of 5.0 in v 2.571 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.571 * [taylor]: Taking taylor expansion of v in v 2.571 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 2.571 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 2.571 * [taylor]: Taking taylor expansion of 5.0 in v 2.572 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.572 * [taylor]: Taking taylor expansion of v in v 2.572 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 2.572 * [taylor]: Taking taylor expansion of 5.0 in v 2.572 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.572 * [taylor]: Taking taylor expansion of v in v 2.572 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 2.573 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 2.573 * [taylor]: Taking taylor expansion of 5.0 in v 2.573 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.573 * [taylor]: Taking taylor expansion of v in v 2.573 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 2.573 * [taylor]: Taking taylor expansion of 5.0 in v 2.573 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.573 * [taylor]: Taking taylor expansion of v in v 2.573 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 2.574 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) in (v) around 0 2.574 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) in v 2.574 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (pow v 2))) in v 2.574 * [taylor]: Taking taylor expansion of 1.0 in v 2.574 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 2.574 * [taylor]: Taking taylor expansion of 5.0 in v 2.574 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.574 * [taylor]: Taking taylor expansion of v in v 2.574 * [taylor]: Taking taylor expansion of (- (pow v 2) 1.0) in v 2.574 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.574 * [taylor]: Taking taylor expansion of v in v 2.574 * [taylor]: Taking taylor expansion of 1.0 in v 2.574 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) in v 2.574 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (pow v 2))) in v 2.574 * [taylor]: Taking taylor expansion of 1.0 in v 2.574 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 2.574 * [taylor]: Taking taylor expansion of 5.0 in v 2.574 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.574 * [taylor]: Taking taylor expansion of v in v 2.574 * [taylor]: Taking taylor expansion of (- (pow v 2) 1.0) in v 2.574 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.574 * [taylor]: Taking taylor expansion of v in v 2.574 * [taylor]: Taking taylor expansion of 1.0 in v 2.575 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in (v) around 0 2.575 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 2.575 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 2.575 * [taylor]: Taking taylor expansion of 1.0 in v 2.575 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 2.575 * [taylor]: Taking taylor expansion of 5.0 in v 2.575 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.575 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.575 * [taylor]: Taking taylor expansion of v in v 2.575 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 2.575 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.575 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.575 * [taylor]: Taking taylor expansion of v in v 2.575 * [taylor]: Taking taylor expansion of 1.0 in v 2.575 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 2.575 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 2.575 * [taylor]: Taking taylor expansion of 1.0 in v 2.575 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 2.575 * [taylor]: Taking taylor expansion of 5.0 in v 2.575 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.575 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.575 * [taylor]: Taking taylor expansion of v in v 2.576 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 2.576 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.576 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.576 * [taylor]: Taking taylor expansion of v in v 2.576 * [taylor]: Taking taylor expansion of 1.0 in v 2.577 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in (v) around 0 2.577 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 2.577 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 2.577 * [taylor]: Taking taylor expansion of 1.0 in v 2.577 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 2.577 * [taylor]: Taking taylor expansion of 5.0 in v 2.577 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.577 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.577 * [taylor]: Taking taylor expansion of v in v 2.577 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 2.577 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.577 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.577 * [taylor]: Taking taylor expansion of v in v 2.577 * [taylor]: Taking taylor expansion of 1.0 in v 2.577 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 2.577 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 2.577 * [taylor]: Taking taylor expansion of 1.0 in v 2.577 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 2.577 * [taylor]: Taking taylor expansion of 5.0 in v 2.578 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.578 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.578 * [taylor]: Taking taylor expansion of v in v 2.578 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 2.578 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.578 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.578 * [taylor]: Taking taylor expansion of v in v 2.578 * [taylor]: Taking taylor expansion of 1.0 in v 2.579 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.579 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) in (v) around 0 2.579 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) in v 2.579 * [taylor]: Taking taylor expansion of (* 1/2 PI) in v 2.579 * [taylor]: Taking taylor expansion of 1/2 in v 2.579 * [taylor]: Taking taylor expansion of PI in v 2.579 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 2.579 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) in v 2.579 * [taylor]: Taking taylor expansion of (* 1/2 PI) in v 2.579 * [taylor]: Taking taylor expansion of 1/2 in v 2.580 * [taylor]: Taking taylor expansion of PI in v 2.580 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 2.581 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in (v) around 0 2.581 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 2.581 * [taylor]: Taking taylor expansion of (* 1/2 PI) in v 2.581 * [taylor]: Taking taylor expansion of 1/2 in v 2.581 * [taylor]: Taking taylor expansion of PI in v 2.581 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 2.581 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 2.581 * [taylor]: Taking taylor expansion of (* 1/2 PI) in v 2.581 * [taylor]: Taking taylor expansion of 1/2 in v 2.581 * [taylor]: Taking taylor expansion of PI in v 2.581 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 2.583 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in (v) around 0 2.583 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 2.583 * [taylor]: Taking taylor expansion of (* 1/2 PI) in v 2.583 * [taylor]: Taking taylor expansion of 1/2 in v 2.583 * [taylor]: Taking taylor expansion of PI in v 2.583 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 2.583 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 2.583 * [taylor]: Taking taylor expansion of (* 1/2 PI) in v 2.583 * [taylor]: Taking taylor expansion of 1/2 in v 2.583 * [taylor]: Taking taylor expansion of PI in v 2.583 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 2.584 * * * [progress]: simplifying candidates 2.586 * [simplify]: Simplifying using # : (/ PI 2) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (log (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (exp (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (* (cbrt (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (cbrt (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (* (* (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (* 5.0 (* v v)) (* 5.0 (* v v)) (+ (log 5.0) (+ (log v) (log v))) (+ (log 5.0) (log (* v v))) (log (* 5.0 (* v v))) (exp (* 5.0 (* v v))) (* (* (* 5.0 5.0) 5.0) (* (* (* v v) v) (* (* v v) v))) (* (* (* 5.0 5.0) 5.0) (* (* (* v v) (* v v)) (* v v))) (* (cbrt (* 5.0 (* v v))) (cbrt (* 5.0 (* v v)))) (cbrt (* 5.0 (* v v))) (* (* (* 5.0 (* v v)) (* 5.0 (* v v))) (* 5.0 (* v v))) (sqrt (* 5.0 (* v v))) (sqrt (* 5.0 (* v v))) (* (sqrt 5.0) v) (* (sqrt 5.0) v) (* 5.0 v) (* (cbrt 5.0) (* v v)) (* (sqrt 5.0) (* v v)) (* 5.0 (* v v)) (- (log (- 1.0 (* 5.0 (* v v)))) (log (- (* v v) 1.0))) (log (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (exp (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (/ (* (* (- 1.0 (* 5.0 (* v v))) (- 1.0 (* 5.0 (* v v)))) (- 1.0 (* 5.0 (* v v)))) (* (* (- (* v v) 1.0) (- (* v v) 1.0)) (- (* v v) 1.0))) (* (cbrt (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (cbrt (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (* (* (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (sqrt (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (sqrt (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (neg (- 1.0 (* 5.0 (* v v)))) (neg (- (* v v) 1.0)) (/ 1.0 (- (* v v) 1.0)) (/ (* 5.0 (* v v)) (- (* v v) 1.0)) (/ (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v))))) (* (cbrt (- (* v v) 1.0)) (cbrt (- (* v v) 1.0)))) (/ (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- (* v v) 1.0))) (/ (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (- (* v v) 1.0))) (/ (cbrt (- 1.0 (* 5.0 (* v v)))) (sqrt (- (* v v) 1.0))) (/ (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v))))) 1) (/ (cbrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)) (/ (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v))))) (+ v (sqrt 1.0))) (/ (cbrt (- 1.0 (* 5.0 (* v v)))) (- v (sqrt 1.0))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (* (cbrt (- (* v v) 1.0)) (cbrt (- (* v v) 1.0)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- (* v v) 1.0))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (sqrt (- (* v v) 1.0))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (sqrt (- (* v v) 1.0))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) 1) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (+ v (sqrt 1.0))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- v (sqrt 1.0))) (/ 1 (* (cbrt (- (* v v) 1.0)) (cbrt (- (* v v) 1.0)))) (/ (- 1.0 (* 5.0 (* v v))) (cbrt (- (* v v) 1.0))) (/ 1 (sqrt (- (* v v) 1.0))) (/ (- 1.0 (* 5.0 (* v v))) (sqrt (- (* v v) 1.0))) (/ 1 1) (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) (/ 1 (+ v (sqrt 1.0))) (/ (- 1.0 (* 5.0 (* v v))) (- v (sqrt 1.0))) (/ 1 (- (* v v) 1.0)) (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v)))) (/ (- 1.0 (* 5.0 (* v v))) (* (cbrt (- (* v v) 1.0)) (cbrt (- (* v v) 1.0)))) (/ (- 1.0 (* 5.0 (* v v))) (sqrt (- (* v v) 1.0))) (/ (- 1.0 (* 5.0 (* v v))) 1) (/ (- 1.0 (* 5.0 (* v v))) (+ v (sqrt 1.0))) (/ (- (* v v) 1.0) (cbrt (- 1.0 (* 5.0 (* v v))))) (/ (- (* v v) 1.0) (sqrt (- 1.0 (* 5.0 (* v v))))) (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v)))) (/ (- 1.0 (* 5.0 (* v v))) (- (pow (* v v) 3) (pow 1.0 3))) (/ (- 1.0 (* 5.0 (* v v))) (- (* (* v v) (* v v)) (* 1.0 1.0))) (* (- (* v v) 1.0) (+ (* 1.0 1.0) (+ (* (* 5.0 (* v v)) (* 5.0 (* v v))) (* 1.0 (* 5.0 (* v v)))))) (* (- (* v v) 1.0) (+ 1.0 (* 5.0 (* v v)))) (/ (exp (/ PI 2)) (exp (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (log (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (exp (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (* (cbrt (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (cbrt (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (cbrt (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (* (* (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (sqrt (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (sqrt (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (- (pow (/ PI 2) 3) (pow (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (* (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (neg (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (- (* (/ PI 2) (/ PI 2)) (* (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (+ (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (+ (sqrt (/ PI 2)) (sqrt (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (- (sqrt (/ PI 2)) (sqrt (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (- (/ PI 2) (/ PI 2)) (neg (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (* 5.0 (pow v 2)) (* 5.0 (pow v 2)) (* 5.0 (pow v 2)) (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0) (neg (+ (* 4.0 (/ 1 (pow v 2))) (+ (* 4.0 (/ 1 (pow v 4))) 5.0))) (neg (+ (* 4.0 (/ 1 (pow v 2))) (+ (* 4.0 (/ 1 (pow v 4))) 5.0))) (- (* 1/2 PI) (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) (- (* 1/2 PI) (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) (- (* 1/2 PI) (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) 2.593 * * [simplify]: iteration 0 : 409 enodes (cost 840 ) 2.599 * * [simplify]: iteration 1 : 1459 enodes (cost 784 ) 2.622 * * [simplify]: iteration 2 : 5001 enodes (cost 780 ) 2.627 * [simplify]: Simplified to: (/ PI 2) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (log (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (exp (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) (* (cbrt (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (cbrt (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (pow (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 3) (sqrt (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (* 5.0 (* v v)) (* 5.0 (* v v)) (log (* 5.0 (* v v))) (log (* 5.0 (* v v))) (log (* 5.0 (* v v))) (exp (* 5.0 (* v v))) (* (pow 5.0 3) (pow v 6)) (* (pow 5.0 3) (pow v 6)) (* (cbrt (* 5.0 (* v v))) (cbrt (* 5.0 (* v v)))) (cbrt (* 5.0 (* v v))) (* (pow 5.0 3) (pow v 6)) (sqrt (* 5.0 (* v v))) (sqrt (* 5.0 (* v v))) (* (sqrt 5.0) v) (* (sqrt 5.0) v) (* 5.0 v) (* (cbrt 5.0) (* v v)) (* (sqrt 5.0) (* v v)) (* 5.0 (* v v)) (log (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (log (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (exp (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (pow (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) 3) (* (cbrt (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (cbrt (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (pow (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) 3) (sqrt (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (sqrt (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (neg (- 1.0 (* 5.0 (* v v)))) (neg (- (* 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))) (+ (neg (* 1.0 1.0)) (pow v 4))) (* (+ (* (* 5.0 (* v v)) (+ (* 5.0 (* v v)) 1.0)) (* 1.0 1.0)) (- (* v v) 1.0)) (* (- (* v v) 1.0) (+ 1.0 (* 5.0 (* v v)))) (exp (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (log (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (exp (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (* (cbrt (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (cbrt (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (cbrt (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (pow (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) 3) (sqrt (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (sqrt (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (- (pow (/ PI 2) 3) (pow (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 3)) (+ (* (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (+ (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (/ PI 2))) (* (/ PI 2) (/ PI 2))) (neg (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) (- (* (/ PI 2) (/ PI 2)) (* (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (+ (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (+ (sqrt (/ PI 2)) (sqrt (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (- (sqrt (/ PI 2)) (sqrt (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) 0 (neg (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (* 5.0 (* v v)) (* 5.0 (* v v)) (* 5.0 (* v v)) (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0) (- (- (/ (neg 4.0) (pow v 2)) 5.0) (/ 4.0 (pow v 4))) (- (- (/ (neg 4.0) (pow v 2)) 5.0) (/ 4.0 (pow v 4))) (- (* 1/2 PI) (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) (- (* 1/2 PI) (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) (- (* 1/2 PI) (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) 2.627 * * * [progress]: adding candidates to table 2.767 * * [progress]: iteration 3 / 4 2.767 * * * [progress]: picking best candidate 2.780 * * * * [pick]: Picked # 2.780 * * * [progress]: localizing error 2.789 * * * [progress]: generating rewritten candidates 2.789 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 2.790 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 2.800 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1 2) 2.808 * * * [progress]: generating series expansions 2.808 * * * * [progress]: [ 1 / 3 ] generating series at (2) 2.808 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in (v) around 0 2.808 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 2.809 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 2.809 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in (v) around 0 2.809 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 2.810 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 2.811 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in (v) around 0 2.811 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 2.811 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 2.812 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 2.812 * [approximate]: Taking taylor expansion of (* 4.0 (+ (pow v 2) (pow v 4))) in (v) around 0 2.812 * [taylor]: Taking taylor expansion of (* 4.0 (+ (pow v 2) (pow v 4))) in v 2.812 * [taylor]: Taking taylor expansion of 4.0 in v 2.812 * [taylor]: Taking taylor expansion of (+ (pow v 2) (pow v 4)) in v 2.812 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.812 * [taylor]: Taking taylor expansion of v in v 2.812 * [taylor]: Taking taylor expansion of (pow v 4) in v 2.812 * [taylor]: Taking taylor expansion of v in v 2.812 * [taylor]: Taking taylor expansion of (* 4.0 (+ (pow v 2) (pow v 4))) in v 2.812 * [taylor]: Taking taylor expansion of 4.0 in v 2.812 * [taylor]: Taking taylor expansion of (+ (pow v 2) (pow v 4)) in v 2.812 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.812 * [taylor]: Taking taylor expansion of v in v 2.812 * [taylor]: Taking taylor expansion of (pow v 4) in v 2.812 * [taylor]: Taking taylor expansion of v in v 2.814 * [approximate]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in (v) around 0 2.814 * [taylor]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in v 2.814 * [taylor]: Taking taylor expansion of 4.0 in v 2.814 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 2.814 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 2.814 * [taylor]: Taking taylor expansion of (pow v 4) in v 2.814 * [taylor]: Taking taylor expansion of v in v 2.814 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.814 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.814 * [taylor]: Taking taylor expansion of v in v 2.814 * [taylor]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in v 2.814 * [taylor]: Taking taylor expansion of 4.0 in v 2.814 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 2.814 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 2.814 * [taylor]: Taking taylor expansion of (pow v 4) in v 2.814 * [taylor]: Taking taylor expansion of v in v 2.814 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.814 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.814 * [taylor]: Taking taylor expansion of v in v 2.819 * [approximate]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in (v) around 0 2.819 * [taylor]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in v 2.819 * [taylor]: Taking taylor expansion of 4.0 in v 2.819 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 2.819 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 2.819 * [taylor]: Taking taylor expansion of (pow v 4) in v 2.819 * [taylor]: Taking taylor expansion of v in v 2.819 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.819 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.819 * [taylor]: Taking taylor expansion of v in v 2.819 * [taylor]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in v 2.819 * [taylor]: Taking taylor expansion of 4.0 in v 2.819 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 2.819 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 2.819 * [taylor]: Taking taylor expansion of (pow v 4) in v 2.819 * [taylor]: Taking taylor expansion of v in v 2.819 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.819 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.819 * [taylor]: Taking taylor expansion of v in v 2.822 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1 2) 2.822 * [approximate]: Taking taylor expansion of (+ (pow v 2) (pow v 4)) in (v) around 0 2.822 * [taylor]: Taking taylor expansion of (+ (pow v 2) (pow v 4)) in v 2.822 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.822 * [taylor]: Taking taylor expansion of v in v 2.822 * [taylor]: Taking taylor expansion of (pow v 4) in v 2.822 * [taylor]: Taking taylor expansion of v in v 2.822 * [taylor]: Taking taylor expansion of (+ (pow v 2) (pow v 4)) in v 2.822 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.822 * [taylor]: Taking taylor expansion of v in v 2.822 * [taylor]: Taking taylor expansion of (pow v 4) in v 2.822 * [taylor]: Taking taylor expansion of v in v 2.824 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in (v) around 0 2.824 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 2.824 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 2.824 * [taylor]: Taking taylor expansion of (pow v 4) in v 2.824 * [taylor]: Taking taylor expansion of v in v 2.824 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.824 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.824 * [taylor]: Taking taylor expansion of v in v 2.824 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 2.824 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 2.824 * [taylor]: Taking taylor expansion of (pow v 4) in v 2.824 * [taylor]: Taking taylor expansion of v in v 2.824 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.824 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.824 * [taylor]: Taking taylor expansion of v in v 2.826 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in (v) around 0 2.826 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 2.826 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 2.826 * [taylor]: Taking taylor expansion of (pow v 4) in v 2.826 * [taylor]: Taking taylor expansion of v in v 2.826 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.826 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.826 * [taylor]: Taking taylor expansion of v in v 2.827 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 2.827 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 2.827 * [taylor]: Taking taylor expansion of (pow v 4) in v 2.827 * [taylor]: Taking taylor expansion of v in v 2.827 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.827 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.827 * [taylor]: Taking taylor expansion of v in v 2.829 * * * [progress]: simplifying candidates 2.830 * [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)) 2.833 * * [simplify]: iteration 0 : 177 enodes (cost 315 ) 2.837 * * [simplify]: iteration 1 : 834 enodes (cost 276 ) 2.855 * * [simplify]: iteration 2 : 4136 enodes (cost 273 ) 2.980 * * [simplify]: iteration 3 : 5002 enodes (cost 273 ) 2.983 * [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) (neg (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) (neg (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)) 2.983 * * * [progress]: adding candidates to table 3.067 * * [progress]: iteration 4 / 4 3.067 * * * [progress]: picking best candidate 3.088 * * * * [pick]: Picked # 3.088 * * * [progress]: localizing error 3.101 * * * [progress]: generating rewritten candidates 3.101 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 3.102 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 3.111 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 3.114 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 3.116 * * * [progress]: generating series expansions 3.116 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 3.116 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in (v) around 0 3.116 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 3.117 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 3.118 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in (v) around 0 3.118 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 3.118 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 3.119 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in (v) around 0 3.119 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 3.119 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 3.120 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 3.120 * [approximate]: Taking taylor expansion of (* 4.0 (+ (pow v 2) (pow v 4))) in (v) around 0 3.120 * [taylor]: Taking taylor expansion of (* 4.0 (+ (pow v 2) (pow v 4))) in v 3.120 * [taylor]: Taking taylor expansion of 4.0 in v 3.120 * [taylor]: Taking taylor expansion of (+ (pow v 2) (pow v 4)) in v 3.120 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.120 * [taylor]: Taking taylor expansion of v in v 3.121 * [taylor]: Taking taylor expansion of (pow v 4) in v 3.121 * [taylor]: Taking taylor expansion of v in v 3.121 * [taylor]: Taking taylor expansion of (* 4.0 (+ (pow v 2) (pow v 4))) in v 3.121 * [taylor]: Taking taylor expansion of 4.0 in v 3.121 * [taylor]: Taking taylor expansion of (+ (pow v 2) (pow v 4)) in v 3.121 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.121 * [taylor]: Taking taylor expansion of v in v 3.121 * [taylor]: Taking taylor expansion of (pow v 4) in v 3.121 * [taylor]: Taking taylor expansion of v in v 3.122 * [approximate]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in (v) around 0 3.123 * [taylor]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in v 3.123 * [taylor]: Taking taylor expansion of 4.0 in v 3.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 3.123 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 3.123 * [taylor]: Taking taylor expansion of (pow v 4) in v 3.123 * [taylor]: Taking taylor expansion of v in v 3.123 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 3.123 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.123 * [taylor]: Taking taylor expansion of v in v 3.123 * [taylor]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in v 3.123 * [taylor]: Taking taylor expansion of 4.0 in v 3.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 3.123 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 3.123 * [taylor]: Taking taylor expansion of (pow v 4) in v 3.123 * [taylor]: Taking taylor expansion of v in v 3.123 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 3.123 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.123 * [taylor]: Taking taylor expansion of v in v 3.126 * [approximate]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in (v) around 0 3.126 * [taylor]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in v 3.126 * [taylor]: Taking taylor expansion of 4.0 in v 3.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 3.126 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 3.126 * [taylor]: Taking taylor expansion of (pow v 4) in v 3.126 * [taylor]: Taking taylor expansion of v in v 3.126 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 3.126 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.126 * [taylor]: Taking taylor expansion of v in v 3.126 * [taylor]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in v 3.126 * [taylor]: Taking taylor expansion of 4.0 in v 3.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 3.126 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 3.126 * [taylor]: Taking taylor expansion of (pow v 4) in v 3.126 * [taylor]: Taking taylor expansion of v in v 3.126 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 3.126 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.126 * [taylor]: Taking taylor expansion of v in v 3.129 * * * * [progress]: [ 3 / 4 ] generating series at (2) 3.129 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in (v) around 0 3.129 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 3.129 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 3.130 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in (v) around 0 3.130 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 3.130 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 3.132 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in (v) around 0 3.132 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 3.132 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 3.133 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 3.133 * [approximate]: Taking taylor expansion of (log (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) in (v) around 0 3.133 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) in v 3.133 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 3.133 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) in v 3.134 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 3.143 * [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 3.143 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 3.143 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 3.143 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 3.143 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 3.153 * [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 3.153 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 3.153 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 3.153 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 3.153 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 3.163 * * * [progress]: simplifying candidates 3.164 * [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))) 3.168 * * [simplify]: iteration 0 : 193 enodes (cost 551 ) 3.172 * * [simplify]: iteration 1 : 815 enodes (cost 484 ) 3.189 * * [simplify]: iteration 2 : 3988 enodes (cost 468 ) 3.306 * * [simplify]: iteration 3 : 5002 enodes (cost 462 ) 3.309 * [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) (neg (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))) 3.311 * * * [progress]: adding candidates to table 3.441 * [progress]: [Phase 3 of 3] Extracting. 3.441 * * [regime]: Finding splitpoints for: (# # # # # #) 3.443 * * * [regime-changes]: Trying 4 branch expressions: ((* v v) (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) v) 3.443 * * * * [regimes]: Trying to branch on (* v v) from (# # # # # #) 3.491 * * * * [regimes]: Trying to branch on (* v v) from (# # #) 3.520 * * * * [regimes]: Trying to branch on (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) from (# # # # # #) 3.564 * * * * [regimes]: Trying to branch on (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) from (# # #) 3.591 * * * * [regimes]: Trying to branch on (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) from (# # # # # #) 3.634 * * * * [regimes]: Trying to branch on v from (# # # # # #) 3.684 * * * [regime]: Found split indices: #