11.813 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.073 * * * [progress]: [2/2] Setting up program. 0.075 * [progress]: [Phase 2 of 3] Improving. 0.075 * [simplify]: Simplifying using # : (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 0.076 * * [simplify]: iteration 0 : 9 enodes (cost 14 ) 0.077 * * [simplify]: iteration 1 : 19 enodes (cost 14 ) 0.079 * * [simplify]: iteration 2 : 41 enodes (cost 14 ) 0.085 * * [simplify]: iteration 3 : 81 enodes (cost 14 ) 0.097 * * [simplify]: iteration 4 : 150 enodes (cost 14 ) 0.127 * * [simplify]: iteration 5 : 235 enodes (cost 14 ) 0.185 * * [simplify]: iteration 6 : 312 enodes (cost 14 ) 0.268 * * [simplify]: iteration 7 : 461 enodes (cost 14 ) 0.504 * * [simplify]: iteration 8 : 1112 enodes (cost 14 ) 3.428 * * [simplify]: iteration done : 5000 enodes (cost 14 ) 3.429 * [simplify]: Simplified to: (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 3.429 * * [progress]: iteration 1 / 4 3.429 * * * [progress]: picking best candidate 3.431 * * * * [pick]: Picked # 3.431 * * * [progress]: localizing error 3.438 * * * [progress]: generating rewritten candidates 3.439 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 3.439 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1 2) 3.446 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 3.457 * * * [progress]: generating series expansions 3.457 * * * * [progress]: [ 1 / 3 ] generating series at (2) 3.457 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in (v) around 0 3.457 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 3.457 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 3.458 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 3.458 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 3.459 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 3.459 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 3.459 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 3.460 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 3.460 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1 2) 3.460 * [approximate]: Taking taylor expansion of (* 5.0 (pow v 2)) in (v) around 0 3.460 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 3.460 * [taylor]: Taking taylor expansion of 5.0 in v 3.461 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.461 * [taylor]: Taking taylor expansion of v in v 3.461 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 3.461 * [taylor]: Taking taylor expansion of 5.0 in v 3.461 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.461 * [taylor]: Taking taylor expansion of v in v 3.470 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 3.470 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 3.470 * [taylor]: Taking taylor expansion of 5.0 in v 3.470 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.470 * [taylor]: Taking taylor expansion of v in v 3.471 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 3.471 * [taylor]: Taking taylor expansion of 5.0 in v 3.471 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.471 * [taylor]: Taking taylor expansion of v in v 3.482 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 3.482 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 3.482 * [taylor]: Taking taylor expansion of 5.0 in v 3.482 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.482 * [taylor]: Taking taylor expansion of v in v 3.483 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 3.483 * [taylor]: Taking taylor expansion of 5.0 in v 3.483 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.483 * [taylor]: Taking taylor expansion of v in v 3.491 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 3.491 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) in (v) around 0 3.491 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) in v 3.491 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (pow v 2))) in v 3.491 * [taylor]: Taking taylor expansion of 1.0 in v 3.491 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 3.491 * [taylor]: Taking taylor expansion of 5.0 in v 3.491 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.491 * [taylor]: Taking taylor expansion of v in v 3.491 * [taylor]: Taking taylor expansion of (- (pow v 2) 1.0) in v 3.491 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.491 * [taylor]: Taking taylor expansion of v in v 3.491 * [taylor]: Taking taylor expansion of 1.0 in v 3.493 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) in v 3.493 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (pow v 2))) in v 3.493 * [taylor]: Taking taylor expansion of 1.0 in v 3.493 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 3.493 * [taylor]: Taking taylor expansion of 5.0 in v 3.493 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.493 * [taylor]: Taking taylor expansion of v in v 3.493 * [taylor]: Taking taylor expansion of (- (pow v 2) 1.0) in v 3.493 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.493 * [taylor]: Taking taylor expansion of v in v 3.493 * [taylor]: Taking taylor expansion of 1.0 in v 3.512 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in (v) around 0 3.512 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 3.512 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 3.512 * [taylor]: Taking taylor expansion of 1.0 in v 3.512 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 3.512 * [taylor]: Taking taylor expansion of 5.0 in v 3.512 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 3.512 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.512 * [taylor]: Taking taylor expansion of v in v 3.513 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 3.513 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 3.513 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.513 * [taylor]: Taking taylor expansion of v in v 3.513 * [taylor]: Taking taylor expansion of 1.0 in v 3.515 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 3.515 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 3.515 * [taylor]: Taking taylor expansion of 1.0 in v 3.515 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 3.515 * [taylor]: Taking taylor expansion of 5.0 in v 3.515 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 3.515 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.515 * [taylor]: Taking taylor expansion of v in v 3.516 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 3.516 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 3.516 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.516 * [taylor]: Taking taylor expansion of v in v 3.517 * [taylor]: Taking taylor expansion of 1.0 in v 3.543 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in (v) around 0 3.543 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 3.543 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 3.543 * [taylor]: Taking taylor expansion of 1.0 in v 3.543 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 3.543 * [taylor]: Taking taylor expansion of 5.0 in v 3.543 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 3.543 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.543 * [taylor]: Taking taylor expansion of v in v 3.543 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 3.543 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 3.543 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.543 * [taylor]: Taking taylor expansion of v in v 3.544 * [taylor]: Taking taylor expansion of 1.0 in v 3.546 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 3.546 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 3.546 * [taylor]: Taking taylor expansion of 1.0 in v 3.546 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 3.546 * [taylor]: Taking taylor expansion of 5.0 in v 3.546 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 3.546 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.546 * [taylor]: Taking taylor expansion of v in v 3.546 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 3.546 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 3.547 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.547 * [taylor]: Taking taylor expansion of v in v 3.547 * [taylor]: Taking taylor expansion of 1.0 in v 3.577 * * * [progress]: simplifying candidates 3.578 * [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))) 3.582 * * [simplify]: iteration 0 : 139 enodes (cost 1198 ) 3.611 * * [simplify]: iteration 1 : 332 enodes (cost 1166 ) 3.710 * * [simplify]: iteration 2 : 973 enodes (cost 1054 ) 4.329 * * [simplify]: iteration 3 : 3571 enodes (cost 1052 ) 5.476 * * [simplify]: iteration done : 5000 enodes (cost 1050 ) 5.477 * [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 (* v v))) (- (* v v) 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)))) (* (pow v 2) 5.0) (* (pow v 2) 5.0) (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)) (* (pow v 2) 5.0) (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 (* v v))) (- (* v v) 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 (* v v))) (- (* v v) 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))) (- (* 5.0 (pow v 2)) 1.0) (- 1.0 (pow v 2)) (/ 1.0 (- (* v v) 1.0)) (/ 5.0 (- 1 (/ 1.0 (pow v 2)))) (/ (* (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 (* 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))) (/ (- 1.0 (* 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 6) (pow 1.0 3))) (/ (- 1.0 (* 5.0 (* v v))) (- (pow v 4) (* 1.0 1.0))) (* (- (* v v) 1.0) (+ (* 1.0 1.0) (* (* 5.0 (pow v 2)) (+ 1.0 (* 5.0 (* v v)))))) (* (- (* v v) 1.0) (+ 1.0 (* 5.0 (* v v)))) (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))) (* (pow v 2) 5.0) (* (pow v 2) 5.0) (* (pow v 2) 5.0) (- (* 4.0 (+ (* v v) (pow v 4))) 1.0) (- (- (/ 4.0 (* v v))) (+ 5.0 (/ 4.0 (pow v 4)))) (- (- (/ 4.0 (* v v))) (+ 5.0 (/ 4.0 (pow v 4)))) 5.477 * * * [progress]: adding candidates to table 5.636 * * [progress]: iteration 2 / 4 5.636 * * * [progress]: picking best candidate 5.644 * * * * [pick]: Picked # 5.644 * * * [progress]: localizing error 5.654 * * * [progress]: generating rewritten candidates 5.654 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 5.655 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 5.664 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 5.675 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 5.686 * * * [progress]: generating series expansions 5.686 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 5.687 * [approximate]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in (v) around 0 5.687 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 5.687 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 5.688 * [approximate]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 5.688 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 5.688 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 5.689 * [approximate]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 5.689 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 5.689 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 5.690 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 5.690 * [approximate]: Taking taylor expansion of (* 5.0 (pow v 2)) in (v) around 0 5.690 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 5.690 * [taylor]: Taking taylor expansion of 5.0 in v 5.690 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.690 * [taylor]: Taking taylor expansion of v in v 5.690 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 5.690 * [taylor]: Taking taylor expansion of 5.0 in v 5.690 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.690 * [taylor]: Taking taylor expansion of v in v 5.700 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 5.700 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 5.700 * [taylor]: Taking taylor expansion of 5.0 in v 5.700 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.700 * [taylor]: Taking taylor expansion of v in v 5.701 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 5.701 * [taylor]: Taking taylor expansion of 5.0 in v 5.701 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.701 * [taylor]: Taking taylor expansion of v in v 5.709 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 5.709 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 5.709 * [taylor]: Taking taylor expansion of 5.0 in v 5.709 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.709 * [taylor]: Taking taylor expansion of v in v 5.710 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 5.710 * [taylor]: Taking taylor expansion of 5.0 in v 5.710 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.710 * [taylor]: Taking taylor expansion of v in v 5.717 * * * * [progress]: [ 3 / 4 ] generating series at (2) 5.718 * [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 5.718 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) in v 5.718 * [taylor]: Taking taylor expansion of (* 1/2 PI) in v 5.718 * [taylor]: Taking taylor expansion of 1/2 in v 5.718 * [taylor]: Taking taylor expansion of PI in v 5.718 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 5.718 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) in v 5.719 * [taylor]: Taking taylor expansion of (* 1/2 PI) in v 5.719 * [taylor]: Taking taylor expansion of 1/2 in v 5.719 * [taylor]: Taking taylor expansion of PI in v 5.719 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 5.729 * [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 5.729 * [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 5.729 * [taylor]: Taking taylor expansion of (* 1/2 PI) in v 5.729 * [taylor]: Taking taylor expansion of 1/2 in v 5.729 * [taylor]: Taking taylor expansion of PI in v 5.729 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 5.729 * [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 5.729 * [taylor]: Taking taylor expansion of (* 1/2 PI) in v 5.729 * [taylor]: Taking taylor expansion of 1/2 in v 5.729 * [taylor]: Taking taylor expansion of PI in v 5.729 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 5.739 * [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 5.739 * [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 5.739 * [taylor]: Taking taylor expansion of (* 1/2 PI) in v 5.739 * [taylor]: Taking taylor expansion of 1/2 in v 5.739 * [taylor]: Taking taylor expansion of PI in v 5.739 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 5.740 * [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 5.740 * [taylor]: Taking taylor expansion of (* 1/2 PI) in v 5.740 * [taylor]: Taking taylor expansion of 1/2 in v 5.740 * [taylor]: Taking taylor expansion of PI in v 5.740 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 5.753 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 5.753 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) in (v) around 0 5.753 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) in v 5.753 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (pow v 2))) in v 5.753 * [taylor]: Taking taylor expansion of 1.0 in v 5.753 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 5.753 * [taylor]: Taking taylor expansion of 5.0 in v 5.753 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.753 * [taylor]: Taking taylor expansion of v in v 5.754 * [taylor]: Taking taylor expansion of (- (pow v 2) 1.0) in v 5.754 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.754 * [taylor]: Taking taylor expansion of v in v 5.754 * [taylor]: Taking taylor expansion of 1.0 in v 5.755 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) in v 5.755 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (pow v 2))) in v 5.755 * [taylor]: Taking taylor expansion of 1.0 in v 5.755 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 5.755 * [taylor]: Taking taylor expansion of 5.0 in v 5.755 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.755 * [taylor]: Taking taylor expansion of v in v 5.756 * [taylor]: Taking taylor expansion of (- (pow v 2) 1.0) in v 5.756 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.756 * [taylor]: Taking taylor expansion of v in v 5.756 * [taylor]: Taking taylor expansion of 1.0 in v 5.774 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in (v) around 0 5.774 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 5.774 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 5.774 * [taylor]: Taking taylor expansion of 1.0 in v 5.774 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 5.774 * [taylor]: Taking taylor expansion of 5.0 in v 5.774 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 5.774 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.774 * [taylor]: Taking taylor expansion of v in v 5.775 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 5.775 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 5.775 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.775 * [taylor]: Taking taylor expansion of v in v 5.775 * [taylor]: Taking taylor expansion of 1.0 in v 5.777 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 5.777 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 5.777 * [taylor]: Taking taylor expansion of 1.0 in v 5.777 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 5.777 * [taylor]: Taking taylor expansion of 5.0 in v 5.777 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 5.777 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.777 * [taylor]: Taking taylor expansion of v in v 5.778 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 5.778 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 5.778 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.778 * [taylor]: Taking taylor expansion of v in v 5.779 * [taylor]: Taking taylor expansion of 1.0 in v 5.804 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in (v) around 0 5.804 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 5.805 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 5.805 * [taylor]: Taking taylor expansion of 1.0 in v 5.805 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 5.805 * [taylor]: Taking taylor expansion of 5.0 in v 5.805 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 5.805 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.805 * [taylor]: Taking taylor expansion of v in v 5.805 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 5.805 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 5.805 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.805 * [taylor]: Taking taylor expansion of v in v 5.806 * [taylor]: Taking taylor expansion of 1.0 in v 5.808 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 5.808 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 5.808 * [taylor]: Taking taylor expansion of 1.0 in v 5.808 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 5.808 * [taylor]: Taking taylor expansion of 5.0 in v 5.808 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 5.808 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.808 * [taylor]: Taking taylor expansion of v in v 5.808 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 5.808 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 5.808 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.808 * [taylor]: Taking taylor expansion of v in v 5.809 * [taylor]: Taking taylor expansion of 1.0 in v 5.838 * * * [progress]: simplifying candidates 5.839 * [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)) (/ (exp (/ PI 2)) (exp (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (log (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (exp (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (* (cbrt (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (cbrt (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (cbrt (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (* (* (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (sqrt (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (sqrt (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (- (pow (/ PI 2) 3) (pow (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (* (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (- (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (- (* (/ PI 2) (/ PI 2)) (* (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (+ (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (+ (sqrt (/ PI 2)) (sqrt (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (- (sqrt (/ PI 2)) (sqrt (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (- (/ PI 2) (/ PI 2)) (- (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (- (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)))) (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)) (- (* 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)))) (- (+ (* 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))) 5.844 * * [simplify]: iteration 0 : 171 enodes (cost 1732 ) 5.881 * * [simplify]: iteration 1 : 406 enodes (cost 1650 ) 5.998 * * [simplify]: iteration 2 : 1121 enodes (cost 1530 ) 6.649 * * [simplify]: iteration 3 : 3845 enodes (cost 1524 ) 7.780 * * [simplify]: iteration done : 5000 enodes (cost 1522 ) 7.781 * [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 (* 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)))) (pow (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 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)))) (* (pow v 2) 5.0) (* (pow v 2) 5.0) (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)) (* (pow v 2) 5.0) (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))) (+ (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (/ (* PI PI) 4)) (- (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (- (/ (* PI PI) 4) (* (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (+ (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (+ (sqrt (/ PI 2)) (sqrt (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (- (sqrt (/ PI 2)) (sqrt (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) 0 (- (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (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))) (- (* 5.0 (pow v 2)) 1.0) (- 1.0 (pow v 2)) (/ 1.0 (- (* v v) 1.0)) (/ 5.0 (- 1 (/ 1.0 (pow v 2)))) (/ (* (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 6) (pow 1.0 3))) (/ (- 1.0 (* 5.0 (* v v))) (- (pow v 4) (* 1.0 1.0))) (* (- (* v v) 1.0) (+ (* 1.0 1.0) (* (* 5.0 (* v v)) (+ 1.0 (* 5.0 (* v v)))))) (* (- (* v v) 1.0) (+ 1.0 (* 5.0 (* v v)))) (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))) (* (pow v 2) 5.0) (* (pow v 2) 5.0) (* (pow v 2) 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)))) (- (* 4.0 (+ (* v v) (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))))) 7.782 * * * [progress]: adding candidates to table 8.007 * * [progress]: iteration 3 / 4 8.007 * * * [progress]: picking best candidate 8.018 * * * * [pick]: Picked # 8.018 * * * [progress]: localizing error 8.040 * * * [progress]: generating rewritten candidates 8.040 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 8.052 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2) 8.052 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 8.053 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 8.054 * * * [progress]: generating series expansions 8.054 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 8.055 * [approximate]: Taking taylor expansion of (+ (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (* 1/2 PI)) in (v) around 0 8.055 * [taylor]: Taking taylor expansion of (+ (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (* 1/2 PI)) in v 8.055 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 8.055 * [taylor]: Taking taylor expansion of (* 1/2 PI) in v 8.055 * [taylor]: Taking taylor expansion of 1/2 in v 8.055 * [taylor]: Taking taylor expansion of PI in v 8.055 * [taylor]: Taking taylor expansion of (+ (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (* 1/2 PI)) in v 8.055 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 8.055 * [taylor]: Taking taylor expansion of (* 1/2 PI) in v 8.055 * [taylor]: Taking taylor expansion of 1/2 in v 8.055 * [taylor]: Taking taylor expansion of PI in v 8.064 * [approximate]: Taking taylor expansion of (+ (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) (* 1/2 PI)) in (v) around 0 8.064 * [taylor]: Taking taylor expansion of (+ (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) (* 1/2 PI)) in v 8.064 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 8.064 * [taylor]: Taking taylor expansion of (* 1/2 PI) in v 8.064 * [taylor]: Taking taylor expansion of 1/2 in v 8.064 * [taylor]: Taking taylor expansion of PI in v 8.064 * [taylor]: Taking taylor expansion of (+ (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) (* 1/2 PI)) in v 8.064 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 8.065 * [taylor]: Taking taylor expansion of (* 1/2 PI) in v 8.065 * [taylor]: Taking taylor expansion of 1/2 in v 8.065 * [taylor]: Taking taylor expansion of PI in v 8.073 * [approximate]: Taking taylor expansion of (+ (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) (* 1/2 PI)) in (v) around 0 8.073 * [taylor]: Taking taylor expansion of (+ (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) (* 1/2 PI)) in v 8.073 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 8.073 * [taylor]: Taking taylor expansion of (* 1/2 PI) in v 8.073 * [taylor]: Taking taylor expansion of 1/2 in v 8.073 * [taylor]: Taking taylor expansion of PI in v 8.074 * [taylor]: Taking taylor expansion of (+ (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) (* 1/2 PI)) in v 8.074 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 8.074 * [taylor]: Taking taylor expansion of (* 1/2 PI) in v 8.074 * [taylor]: Taking taylor expansion of 1/2 in v 8.074 * [taylor]: Taking taylor expansion of PI in v 8.082 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2) 8.082 * [approximate]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in (v) around 0 8.082 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 8.082 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 8.083 * [approximate]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 8.083 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 8.083 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 8.084 * [approximate]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 8.084 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 8.084 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 8.085 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 8.085 * [approximate]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in (v) around 0 8.085 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 8.085 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 8.086 * [approximate]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 8.086 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 8.086 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 8.087 * [approximate]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 8.087 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 8.088 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 8.088 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 8.088 * [approximate]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in (v) around 0 8.088 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 8.089 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 8.089 * [approximate]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 8.089 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 8.090 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 8.091 * [approximate]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 8.091 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 8.091 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 8.092 * * * [progress]: simplifying candidates 8.092 * [simplify]: Simplifying using # : (* (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)))))) (- (* (/ 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)))) (+ (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (+ (/ PI 2) (/ PI 2)) (/ 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)))) (/ 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)))) (/ 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)))) (+ (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))) (* 1/2 PI)) (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))) (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))) (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 8.095 * * [simplify]: iteration 0 : 50 enodes (cost 1049 ) 8.104 * * [simplify]: iteration 1 : 124 enodes (cost 947 ) 8.130 * * [simplify]: iteration 2 : 246 enodes (cost 911 ) 8.172 * * [simplify]: iteration 3 : 469 enodes (cost 907 ) 8.276 * * [simplify]: iteration 4 : 995 enodes (cost 905 ) 8.676 * * [simplify]: iteration 5 : 2238 enodes (cost 903 ) 9.561 * * [simplify]: iteration done : 5000 enodes (cost 903 ) 9.561 * [simplify]: Simplified to: (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 (pow v 2))) (- (pow v 2) 1.0))) (- (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (/ PI 2))) (/ (* PI PI) 4)) (- (/ (* PI PI) 4) (* (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)))) (+ (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) PI (/ 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)))) (pow (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 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)))) (/ 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)))) (pow (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 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)))) (/ 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)))) (pow (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 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)))) (+ (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))) (* 1/2 PI)) (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))) (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))) (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 9.562 * * * [progress]: adding candidates to table 9.753 * * [progress]: iteration 4 / 4 9.753 * * * [progress]: picking best candidate 9.770 * * * * [pick]: Picked # 9.770 * * * [progress]: localizing error 9.796 * * * [progress]: generating rewritten candidates 9.797 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 9.799 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 9.800 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 9.800 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2) 9.801 * * * [progress]: generating series expansions 9.801 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 9.801 * [approximate]: Taking taylor expansion of (- PI (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) in (v) around 0 9.801 * [taylor]: Taking taylor expansion of (- PI (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) in v 9.801 * [taylor]: Taking taylor expansion of PI in v 9.801 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 9.802 * [taylor]: Taking taylor expansion of (- PI (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) in v 9.802 * [taylor]: Taking taylor expansion of PI in v 9.802 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 9.806 * [approximate]: Taking taylor expansion of (- PI (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in (v) around 0 9.806 * [taylor]: Taking taylor expansion of (- PI (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 9.806 * [taylor]: Taking taylor expansion of PI in v 9.806 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 9.807 * [taylor]: Taking taylor expansion of (- PI (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 9.807 * [taylor]: Taking taylor expansion of PI in v 9.807 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 9.811 * [approximate]: Taking taylor expansion of (- PI (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in (v) around 0 9.811 * [taylor]: Taking taylor expansion of (- PI (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 9.811 * [taylor]: Taking taylor expansion of PI in v 9.811 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 9.811 * [taylor]: Taking taylor expansion of (- PI (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 9.811 * [taylor]: Taking taylor expansion of PI in v 9.811 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 9.816 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 9.816 * [approximate]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in (v) around 0 9.816 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 9.816 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 9.817 * [approximate]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 9.817 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 9.817 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 9.818 * [approximate]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 9.818 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 9.818 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 9.819 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 9.819 * [approximate]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in (v) around 0 9.819 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 9.820 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 9.820 * [approximate]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 9.820 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 9.821 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 9.821 * [approximate]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 9.821 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 9.822 * [taylor]: Taking taylor expansion of (asin (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 9.822 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2) 9.823 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in (v) around 0 9.823 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 9.823 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 9.824 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 9.824 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 9.824 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 9.825 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 9.825 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 9.825 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 9.826 * * * [progress]: simplifying candidates 9.826 * [simplify]: Simplifying using # : (/ (exp PI) (exp (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (log (- PI (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (exp (- PI (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (* (cbrt (- PI (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (cbrt (- PI (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (cbrt (- PI (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (* (* (- PI (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (- PI (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (- PI (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (sqrt (- PI (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (sqrt (- PI (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (- (pow PI 3) (pow (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 3)) (+ (* PI PI) (+ (* (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (* PI (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (- (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (- (* PI PI) (* (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (+ PI (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (+ (sqrt PI) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (- (sqrt PI) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (- PI (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (- PI (/ PI 2)) (- (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (/ 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)))) (/ 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)))) (/ 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)))) (- PI (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) (- PI (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) (- PI (acos (/ (- 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))) (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))) (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))) 9.829 * * [simplify]: iteration 0 : 60 enodes (cost 1069 ) 9.839 * * [simplify]: iteration 1 : 112 enodes (cost 1025 ) 9.860 * * [simplify]: iteration 2 : 204 enodes (cost 937 ) 9.888 * * [simplify]: iteration 3 : 332 enodes (cost 937 ) 9.946 * * [simplify]: iteration 4 : 624 enodes (cost 937 ) 10.110 * * [simplify]: iteration 5 : 1433 enodes (cost 937 ) 10.941 * * [simplify]: iteration 6 : 4782 enodes (cost 937 ) 12.477 * * [simplify]: iteration done : 5000 enodes (cost 937 ) 12.478 * [simplify]: Simplified to: (exp (- PI (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (log (- PI (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (exp (- PI (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (* (cbrt (- PI (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (cbrt (- PI (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (cbrt (- PI (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (pow (- PI (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) 3) (sqrt (- PI (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (sqrt (- PI (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (- (pow PI 3) (pow (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 3)) (+ (* PI PI) (* (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (+ PI (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (- (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (- (* PI PI) (* (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))) PI) (+ (sqrt PI) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (- (sqrt PI) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (- PI (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) (- PI (/ PI 2)) (- (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (/ 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)))) (pow (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 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)))) (/ 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)))) (pow (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 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)))) (/ PI 2) (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 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 (* v v))) (- (* v v) 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)))) (- PI (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) (- PI (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) (- PI (acos (/ (- 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))) (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))) (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))) 12.478 * * * [progress]: adding candidates to table 12.686 * [progress]: [Phase 3 of 3] Extracting. 12.686 * * [regime]: Finding splitpoints for: (# # # #) 12.689 * * * [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) 12.689 * * * * [regimes]: Trying to branch on (* v v) from (# # # #) 12.711 * * * * [regimes]: Trying to branch on (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) from (# # # #) 12.730 * * * * [regimes]: Trying to branch on (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) from (# # #) 12.746 * * * * [regimes]: Trying to branch on (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) from (# # # #) 12.768 * * * * [regimes]: Trying to branch on v from (# # # #) 12.789 * * * [regime]: Found split indices: #