24.285 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.080 * * * [progress]: [2/2] Setting up program. 0.082 * [progress]: [Phase 2 of 3] Improving. 0.082 * [simplify]: Simplifying using # : (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 0.083 * * [simplify]: iteration 0 : 9 enodes (cost 14 ) 0.085 * * [simplify]: iteration 1 : 19 enodes (cost 14 ) 0.087 * * [simplify]: iteration 2 : 41 enodes (cost 14 ) 0.092 * * [simplify]: iteration 3 : 81 enodes (cost 14 ) 0.103 * * [simplify]: iteration 4 : 150 enodes (cost 14 ) 0.124 * * [simplify]: iteration 5 : 240 enodes (cost 14 ) 0.162 * * [simplify]: iteration 6 : 372 enodes (cost 14 ) 0.364 * * [simplify]: iteration 7 : 1083 enodes (cost 14 ) 2.426 * * [simplify]: iteration done : 5001 enodes (cost 14 ) 2.426 * [simplify]: Simplified to: (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 2.426 * * [progress]: iteration 1 / 4 2.426 * * * [progress]: picking best candidate 2.432 * * * * [pick]: Picked # 2.432 * * * [progress]: localizing error 2.440 * * * [progress]: generating rewritten candidates 2.440 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 2.440 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1 2) 2.447 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 2.459 * * * [progress]: generating series expansions 2.459 * * * * [progress]: [ 1 / 3 ] generating series at (2) 2.459 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in (v) around 0 2.459 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 2.459 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 2.460 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 2.460 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 2.460 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 2.461 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 2.461 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 2.461 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 2.462 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1 2) 2.462 * [approximate]: Taking taylor expansion of (* 5.0 (pow v 2)) in (v) around 0 2.462 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 2.462 * [taylor]: Taking taylor expansion of 5.0 in v 2.462 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.462 * [taylor]: Taking taylor expansion of v in v 2.462 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 2.462 * [taylor]: Taking taylor expansion of 5.0 in v 2.462 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.462 * [taylor]: Taking taylor expansion of v in v 2.470 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 2.470 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 2.470 * [taylor]: Taking taylor expansion of 5.0 in v 2.470 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.470 * [taylor]: Taking taylor expansion of v in v 2.471 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 2.471 * [taylor]: Taking taylor expansion of 5.0 in v 2.471 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.471 * [taylor]: Taking taylor expansion of v in v 2.478 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 2.478 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 2.479 * [taylor]: Taking taylor expansion of 5.0 in v 2.479 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.479 * [taylor]: Taking taylor expansion of v in v 2.479 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 2.479 * [taylor]: Taking taylor expansion of 5.0 in v 2.479 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.479 * [taylor]: Taking taylor expansion of v in v 2.486 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 2.487 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) in (v) around 0 2.487 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) in v 2.487 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (pow v 2))) in v 2.487 * [taylor]: Taking taylor expansion of 1.0 in v 2.487 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 2.487 * [taylor]: Taking taylor expansion of 5.0 in v 2.487 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.487 * [taylor]: Taking taylor expansion of v in v 2.487 * [taylor]: Taking taylor expansion of (- (pow v 2) 1.0) in v 2.487 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.487 * [taylor]: Taking taylor expansion of v in v 2.487 * [taylor]: Taking taylor expansion of 1.0 in v 2.488 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) in v 2.489 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (pow v 2))) in v 2.489 * [taylor]: Taking taylor expansion of 1.0 in v 2.489 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 2.489 * [taylor]: Taking taylor expansion of 5.0 in v 2.489 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.489 * [taylor]: Taking taylor expansion of v in v 2.489 * [taylor]: Taking taylor expansion of (- (pow v 2) 1.0) in v 2.489 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.489 * [taylor]: Taking taylor expansion of v in v 2.489 * [taylor]: Taking taylor expansion of 1.0 in v 2.507 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in (v) around 0 2.507 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 2.507 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 2.507 * [taylor]: Taking taylor expansion of 1.0 in v 2.507 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 2.507 * [taylor]: Taking taylor expansion of 5.0 in v 2.507 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.507 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.507 * [taylor]: Taking taylor expansion of v in v 2.508 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 2.508 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.508 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.508 * [taylor]: Taking taylor expansion of v in v 2.509 * [taylor]: Taking taylor expansion of 1.0 in v 2.510 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 2.510 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 2.510 * [taylor]: Taking taylor expansion of 1.0 in v 2.510 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 2.510 * [taylor]: Taking taylor expansion of 5.0 in v 2.510 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.510 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.510 * [taylor]: Taking taylor expansion of v in v 2.511 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 2.511 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.511 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.511 * [taylor]: Taking taylor expansion of v in v 2.512 * [taylor]: Taking taylor expansion of 1.0 in v 2.539 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in (v) around 0 2.539 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 2.539 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 2.539 * [taylor]: Taking taylor expansion of 1.0 in v 2.539 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 2.540 * [taylor]: Taking taylor expansion of 5.0 in v 2.540 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.540 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.540 * [taylor]: Taking taylor expansion of v in v 2.540 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 2.540 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.540 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.540 * [taylor]: Taking taylor expansion of v in v 2.541 * [taylor]: Taking taylor expansion of 1.0 in v 2.542 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 2.542 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 2.543 * [taylor]: Taking taylor expansion of 1.0 in v 2.543 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 2.543 * [taylor]: Taking taylor expansion of 5.0 in v 2.543 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.543 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.543 * [taylor]: Taking taylor expansion of v in v 2.543 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 2.543 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.543 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.543 * [taylor]: Taking taylor expansion of v in v 2.544 * [taylor]: Taking taylor expansion of 1.0 in v 2.569 * * * [progress]: simplifying candidates 2.570 * [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))) 2.574 * * [simplify]: iteration 0 : 139 enodes (cost 1198 ) 2.603 * * [simplify]: iteration 1 : 332 enodes (cost 1158 ) 2.679 * * [simplify]: iteration 2 : 1052 enodes (cost 1054 ) 3.390 * * [simplify]: iteration done : 5002 enodes (cost 1052 ) 3.391 * [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))) (- (- 1.0 (* 5.0 (* v v)))) (- (- (* v v) 1.0)) (/ 1.0 (- (* v v) 1.0)) (/ 5.0 (- 1 (/ 1.0 (* v v)))) (/ (* (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) (- (+ (+ 5.0 (/ 4.0 (pow v 4))) (/ 4.0 (* v v)))) (- (+ (+ 5.0 (/ 4.0 (pow v 4))) (/ 4.0 (* v v)))) 3.391 * * * [progress]: adding candidates to table 3.543 * * [progress]: iteration 2 / 4 3.543 * * * [progress]: picking best candidate 3.549 * * * * [pick]: Picked # 3.549 * * * [progress]: localizing error 3.559 * * * [progress]: generating rewritten candidates 3.559 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 3.559 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1 2) 3.569 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2) 3.575 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 3.579 * * * [progress]: generating series expansions 3.579 * * * * [progress]: [ 1 / 4 ] generating series at (2) 3.579 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in (v) around 0 3.579 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 3.580 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 3.581 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 3.581 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 3.581 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 3.582 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 3.582 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 3.582 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 3.583 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1 2) 3.583 * [approximate]: Taking taylor expansion of (* 5.0 (pow v 2)) in (v) around 0 3.583 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 3.583 * [taylor]: Taking taylor expansion of 5.0 in v 3.583 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.583 * [taylor]: Taking taylor expansion of v in v 3.583 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 3.583 * [taylor]: Taking taylor expansion of 5.0 in v 3.583 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.583 * [taylor]: Taking taylor expansion of v in v 3.591 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 3.591 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 3.592 * [taylor]: Taking taylor expansion of 5.0 in v 3.592 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.592 * [taylor]: Taking taylor expansion of v in v 3.592 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 3.592 * [taylor]: Taking taylor expansion of 5.0 in v 3.592 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.592 * [taylor]: Taking taylor expansion of v in v 3.600 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 3.600 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 3.600 * [taylor]: Taking taylor expansion of 5.0 in v 3.600 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.600 * [taylor]: Taking taylor expansion of v in v 3.600 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 3.600 * [taylor]: Taking taylor expansion of 5.0 in v 3.600 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.600 * [taylor]: Taking taylor expansion of v in v 3.607 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2) 3.608 * [approximate]: Taking taylor expansion of (* 5.0 (pow v 2)) in (v) around 0 3.608 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 3.608 * [taylor]: Taking taylor expansion of 5.0 in v 3.608 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.608 * [taylor]: Taking taylor expansion of v in v 3.608 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 3.608 * [taylor]: Taking taylor expansion of 5.0 in v 3.608 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.608 * [taylor]: Taking taylor expansion of v in v 3.616 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 3.616 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 3.616 * [taylor]: Taking taylor expansion of 5.0 in v 3.616 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.616 * [taylor]: Taking taylor expansion of v in v 3.617 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 3.617 * [taylor]: Taking taylor expansion of 5.0 in v 3.617 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.617 * [taylor]: Taking taylor expansion of v in v 3.624 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 3.624 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 3.624 * [taylor]: Taking taylor expansion of 5.0 in v 3.624 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.624 * [taylor]: Taking taylor expansion of v in v 3.625 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 3.625 * [taylor]: Taking taylor expansion of 5.0 in v 3.625 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.625 * [taylor]: Taking taylor expansion of v in v 3.632 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 3.632 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (* 5.0 (pow v 2)))) in (v) around 0 3.633 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* 5.0 (pow v 2)))) in v 3.633 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (pow v 2))) in v 3.633 * [taylor]: Taking taylor expansion of 1.0 in v 3.633 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 3.633 * [taylor]: Taking taylor expansion of 5.0 in v 3.633 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.633 * [taylor]: Taking taylor expansion of v in v 3.634 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* 5.0 (pow v 2)))) in v 3.634 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (pow v 2))) in v 3.634 * [taylor]: Taking taylor expansion of 1.0 in v 3.634 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 3.634 * [taylor]: Taking taylor expansion of 5.0 in v 3.634 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.634 * [taylor]: Taking taylor expansion of v in v 3.653 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (* 5.0 (/ 1 (pow v 2))))) in (v) around 0 3.653 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* 5.0 (/ 1 (pow v 2))))) in v 3.653 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 3.653 * [taylor]: Taking taylor expansion of 1.0 in v 3.653 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 3.653 * [taylor]: Taking taylor expansion of 5.0 in v 3.653 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 3.653 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.653 * [taylor]: Taking taylor expansion of v in v 3.657 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* 5.0 (/ 1 (pow v 2))))) in v 3.658 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 3.658 * [taylor]: Taking taylor expansion of 1.0 in v 3.658 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 3.658 * [taylor]: Taking taylor expansion of 5.0 in v 3.658 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 3.658 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.658 * [taylor]: Taking taylor expansion of v in v 3.682 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (* 5.0 (/ 1 (pow v 2))))) in (v) around 0 3.682 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* 5.0 (/ 1 (pow v 2))))) in v 3.682 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 3.682 * [taylor]: Taking taylor expansion of 1.0 in v 3.682 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 3.682 * [taylor]: Taking taylor expansion of 5.0 in v 3.682 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 3.682 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.682 * [taylor]: Taking taylor expansion of v in v 3.686 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* 5.0 (/ 1 (pow v 2))))) in v 3.686 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 3.686 * [taylor]: Taking taylor expansion of 1.0 in v 3.686 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 3.686 * [taylor]: Taking taylor expansion of 5.0 in v 3.686 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 3.686 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.686 * [taylor]: Taking taylor expansion of v in v 3.711 * * * [progress]: simplifying candidates 3.712 * [simplify]: Simplifying using # : (/ PI 2) (asin (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)))) (log (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))) (exp (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))) (* (cbrt (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))) (cbrt (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)))))) (cbrt (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))) (* (* (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)))) (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))) (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))) (sqrt (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))) (sqrt (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))) (* 5.0 (* v v)) (* 5.0 (* v v)) (+ (log 5.0) (+ (log v) (log v))) (+ (log 5.0) (log (* v v))) (log (* 5.0 (* v v))) (exp (* 5.0 (* v v))) (* (* (* 5.0 5.0) 5.0) (* (* (* v v) v) (* (* v v) v))) (* (* (* 5.0 5.0) 5.0) (* (* (* v v) (* v v)) (* v v))) (* (cbrt (* 5.0 (* v v))) (cbrt (* 5.0 (* v v)))) (cbrt (* 5.0 (* v v))) (* (* (* 5.0 (* v v)) (* 5.0 (* v v))) (* 5.0 (* v v))) (sqrt (* 5.0 (* v v))) (sqrt (* 5.0 (* v v))) (* (sqrt 5.0) v) (* (sqrt 5.0) v) (* 5.0 v) (* (cbrt 5.0) (* v v)) (* (sqrt 5.0) (* v v)) (* 5.0 (* v v)) (* 5.0 (* v v)) (* 5.0 (* v v)) (+ (log 5.0) (+ (log v) (log v))) (+ (log 5.0) (log (* v v))) (log (* 5.0 (* v v))) (exp (* 5.0 (* v v))) (* (* (* 5.0 5.0) 5.0) (* (* (* v v) v) (* (* v v) v))) (* (* (* 5.0 5.0) 5.0) (* (* (* v v) (* v v)) (* v v))) (* (cbrt (* 5.0 (* v v))) (cbrt (* 5.0 (* v v)))) (cbrt (* 5.0 (* v v))) (* (* (* 5.0 (* v v)) (* 5.0 (* v v))) (* 5.0 (* v v))) (sqrt (* 5.0 (* v v))) (sqrt (* 5.0 (* v v))) (* (sqrt 5.0) v) (* (sqrt 5.0) v) (* 5.0 v) (* (cbrt 5.0) (* v v)) (* (sqrt 5.0) (* v v)) (* 5.0 (* v v)) (log (sqrt (- 1.0 (* 5.0 (* v v))))) (exp (sqrt (- 1.0 (* 5.0 (* v v))))) (* (cbrt (sqrt (- 1.0 (* 5.0 (* v v))))) (cbrt (sqrt (- 1.0 (* 5.0 (* v v)))))) (cbrt (sqrt (- 1.0 (* 5.0 (* v v))))) (* (* (sqrt (- 1.0 (* 5.0 (* v v)))) (sqrt (- 1.0 (* 5.0 (* v v))))) (sqrt (- 1.0 (* 5.0 (* v v))))) (sqrt (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v)))))) (sqrt (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (sqrt (- 1.0 (* 5.0 (* v v))))) (sqrt (sqrt (- 1.0 (* 5.0 (* v v))))) (sqrt 1) (sqrt (- 1.0 (* 5.0 (* v v)))) (sqrt (- (pow 1.0 3) (pow (* 5.0 (* v v)) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* 5.0 (* v v)) (* 5.0 (* v v))) (* 1.0 (* 5.0 (* v v)))))) (sqrt (- (* 1.0 1.0) (* (* 5.0 (* v v)) (* 5.0 (* v v))))) (sqrt (+ 1.0 (* 5.0 (* v v)))) (/ 1 2) (sqrt (sqrt (- 1.0 (* 5.0 (* v v))))) (sqrt (sqrt (- 1.0 (* 5.0 (* v v))))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (* 5.0 (pow v 2)) (* 5.0 (pow v 2)) (* 5.0 (pow v 2)) (* 5.0 (pow v 2)) (* 5.0 (pow v 2)) (* 5.0 (pow v 2)) (- (sqrt 1.0) (+ (* 2.5 (/ (pow v 2) (sqrt 1.0))) (* 3.125 (/ (pow v 4) (pow (sqrt 1.0) 3))))) (- (+ (* v (sqrt (- 5.0))) (* 0.5 (/ 1 (* v (sqrt (- 5.0)))))) (* 0.125 (/ 1 (* (pow v 3) (pow (sqrt (- 5.0)) 3))))) (- (* 0.125 (/ 1 (* (pow v 3) (pow (sqrt (- 5.0)) 3)))) (+ (* v (sqrt (- 5.0))) (* 0.5 (/ 1 (* v (sqrt (- 5.0))))))) 3.715 * * [simplify]: iteration 0 : 110 enodes (cost 931 ) 3.737 * * [simplify]: iteration 1 : 246 enodes (cost 747 ) 3.789 * * [simplify]: iteration 2 : 740 enodes (cost 681 ) 4.161 * * [simplify]: iteration 3 : 3733 enodes (cost 681 ) 5.208 * * [simplify]: iteration done : 5001 enodes (cost 681 ) 5.209 * [simplify]: Simplified to: (/ PI 2) (asin (/ (- 1.0 (* 5.0 (pow v 2))) (- (* v v) 1.0))) (log (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (* v v) 1.0)))) (exp (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (* v v) 1.0)))) (* (cbrt (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (* v v) 1.0))))) (cbrt (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (* v v) 1.0)))) (pow (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (* v v) 1.0))) 3) (sqrt (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (* 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 (pow v 2)) 3) (pow (* 5.0 (pow v 2)) 3) (* (cbrt (* 5.0 (* v v))) (cbrt (* 5.0 (* v v)))) (cbrt (* 5.0 (* v v))) (pow (* 5.0 (pow v 2)) 3) (sqrt (* 5.0 (* v v))) (sqrt (* 5.0 (* v v))) (* (sqrt 5.0) v) (* (sqrt 5.0) v) (* 5.0 v) (* (cbrt 5.0) (* v v)) (* (sqrt 5.0) (* v v)) (* 5.0 (* v v)) (* 5.0 (* v v)) (* 5.0 (* v v)) (log (* 5.0 (* v v))) (log (* 5.0 (* v v))) (log (* 5.0 (* v v))) (exp (* 5.0 (* v v))) (pow (* 5.0 (pow v 2)) 3) (pow (* 5.0 (pow v 2)) 3) (* (cbrt (* 5.0 (* v v))) (cbrt (* 5.0 (* v v)))) (cbrt (* 5.0 (* v v))) (pow (* 5.0 (pow v 2)) 3) (sqrt (* 5.0 (* v v))) (sqrt (* 5.0 (* v v))) (* (sqrt 5.0) v) (* (sqrt 5.0) v) (* 5.0 v) (* (cbrt 5.0) (* v v)) (* (sqrt 5.0) (* v v)) (* 5.0 (* v v)) (log (sqrt (- 1.0 (* 5.0 (* v v))))) (exp (sqrt (- 1.0 (* 5.0 (* v v))))) (* (cbrt (sqrt (- 1.0 (* 5.0 (* v v))))) (cbrt (sqrt (- 1.0 (* 5.0 (* v v)))))) (cbrt (sqrt (- 1.0 (* 5.0 (* v v))))) (pow (sqrt (- 1.0 (* 5.0 (* v v)))) 3) (fabs (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (sqrt (- 1.0 (* 5.0 (* v v))))) (sqrt (sqrt (- 1.0 (* 5.0 (* v v))))) 1 (sqrt (- 1.0 (* 5.0 (* v v)))) (sqrt (- (pow 1.0 3) (pow (* 5.0 (* v v)) 3))) (sqrt (+ (* 1.0 1.0) (* (* 5.0 (pow v 2)) (+ 1.0 (* 5.0 (* v v)))))) (sqrt (- (* 1.0 1.0) (* (* 5.0 5.0) (pow v 4)))) (sqrt (+ 1.0 (* 5.0 (* v v)))) 1/2 (sqrt (sqrt (- 1.0 (* 5.0 (* v v))))) (sqrt (sqrt (- 1.0 (* 5.0 (* v v))))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (* v v) 1.0))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (* v v) 1.0))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (* v v) 1.0))) (* 5.0 (* v v)) (* 5.0 (* v v)) (* 5.0 (* v v)) (* 5.0 (* v v)) (* 5.0 (* v v)) (* 5.0 (* v v)) (- (sqrt 1.0) (+ (* 2.5 (/ (pow v 2) (sqrt 1.0))) (* 3.125 (/ (pow v 4) (pow (sqrt 1.0) 3))))) (- (+ (* v (sqrt (- 5.0))) (/ 0.5 (* v (sqrt (- 5.0))))) (/ 0.125 (* (pow v 3) (pow (sqrt (- 5.0)) 3)))) (- (- (/ 0.125 (* (pow v 3) (pow (sqrt (- 5.0)) 3))) (* v (sqrt (- 5.0)))) (/ 0.5 (* v (sqrt (- 5.0))))) 5.209 * * * [progress]: adding candidates to table 5.371 * * [progress]: iteration 3 / 4 5.371 * * * [progress]: picking best candidate 5.375 * * * * [pick]: Picked # 5.375 * * * [progress]: localizing error 5.383 * * * [progress]: generating rewritten candidates 5.383 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 5.384 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 5.401 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1 2) 5.409 * * * [progress]: generating series expansions 5.409 * * * * [progress]: [ 1 / 3 ] generating series at (2) 5.409 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in (v) around 0 5.409 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 5.410 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 5.411 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in (v) around 0 5.411 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 5.411 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 5.412 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in (v) around 0 5.412 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 5.412 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 5.413 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 5.413 * [approximate]: Taking taylor expansion of (* 4.0 (+ (pow v 2) (pow v 4))) in (v) around 0 5.413 * [taylor]: Taking taylor expansion of (* 4.0 (+ (pow v 2) (pow v 4))) in v 5.413 * [taylor]: Taking taylor expansion of 4.0 in v 5.413 * [taylor]: Taking taylor expansion of (+ (pow v 2) (pow v 4)) in v 5.413 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.413 * [taylor]: Taking taylor expansion of v in v 5.413 * [taylor]: Taking taylor expansion of (pow v 4) in v 5.413 * [taylor]: Taking taylor expansion of v in v 5.413 * [taylor]: Taking taylor expansion of (* 4.0 (+ (pow v 2) (pow v 4))) in v 5.413 * [taylor]: Taking taylor expansion of 4.0 in v 5.413 * [taylor]: Taking taylor expansion of (+ (pow v 2) (pow v 4)) in v 5.414 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.414 * [taylor]: Taking taylor expansion of v in v 5.414 * [taylor]: Taking taylor expansion of (pow v 4) in v 5.414 * [taylor]: Taking taylor expansion of v in v 5.435 * [approximate]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in (v) around 0 5.435 * [taylor]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in v 5.435 * [taylor]: Taking taylor expansion of 4.0 in v 5.435 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 5.436 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 5.436 * [taylor]: Taking taylor expansion of (pow v 4) in v 5.436 * [taylor]: Taking taylor expansion of v in v 5.436 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 5.436 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.436 * [taylor]: Taking taylor expansion of v in v 5.437 * [taylor]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in v 5.437 * [taylor]: Taking taylor expansion of 4.0 in v 5.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 5.437 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 5.437 * [taylor]: Taking taylor expansion of (pow v 4) in v 5.437 * [taylor]: Taking taylor expansion of v in v 5.438 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 5.438 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.438 * [taylor]: Taking taylor expansion of v in v 5.467 * [approximate]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in (v) around 0 5.467 * [taylor]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in v 5.467 * [taylor]: Taking taylor expansion of 4.0 in v 5.467 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 5.467 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 5.467 * [taylor]: Taking taylor expansion of (pow v 4) in v 5.467 * [taylor]: Taking taylor expansion of v in v 5.468 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 5.468 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.468 * [taylor]: Taking taylor expansion of v in v 5.469 * [taylor]: Taking taylor expansion of (* 4.0 (+ (/ 1 (pow v 4)) (/ 1 (pow v 2)))) in v 5.469 * [taylor]: Taking taylor expansion of 4.0 in v 5.469 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 5.469 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 5.469 * [taylor]: Taking taylor expansion of (pow v 4) in v 5.469 * [taylor]: Taking taylor expansion of v in v 5.470 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 5.470 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.470 * [taylor]: Taking taylor expansion of v in v 5.502 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1 2) 5.502 * [approximate]: Taking taylor expansion of (+ (pow v 2) (pow v 4)) in (v) around 0 5.502 * [taylor]: Taking taylor expansion of (+ (pow v 2) (pow v 4)) in v 5.502 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.503 * [taylor]: Taking taylor expansion of v in v 5.503 * [taylor]: Taking taylor expansion of (pow v 4) in v 5.503 * [taylor]: Taking taylor expansion of v in v 5.503 * [taylor]: Taking taylor expansion of (+ (pow v 2) (pow v 4)) in v 5.503 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.503 * [taylor]: Taking taylor expansion of v in v 5.503 * [taylor]: Taking taylor expansion of (pow v 4) in v 5.503 * [taylor]: Taking taylor expansion of v in v 5.518 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in (v) around 0 5.518 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 5.518 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 5.518 * [taylor]: Taking taylor expansion of (pow v 4) in v 5.518 * [taylor]: Taking taylor expansion of v in v 5.519 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 5.519 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.519 * [taylor]: Taking taylor expansion of v in v 5.519 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 5.519 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 5.519 * [taylor]: Taking taylor expansion of (pow v 4) in v 5.519 * [taylor]: Taking taylor expansion of v in v 5.520 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 5.520 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.520 * [taylor]: Taking taylor expansion of v in v 5.543 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in (v) around 0 5.543 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 5.543 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 5.543 * [taylor]: Taking taylor expansion of (pow v 4) in v 5.543 * [taylor]: Taking taylor expansion of v in v 5.544 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 5.544 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.544 * [taylor]: Taking taylor expansion of v in v 5.545 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 4)) (/ 1 (pow v 2))) in v 5.545 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 5.545 * [taylor]: Taking taylor expansion of (pow v 4) in v 5.545 * [taylor]: Taking taylor expansion of v in v 5.545 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 5.545 * [taylor]: Taking taylor expansion of (pow v 2) in v 5.545 * [taylor]: Taking taylor expansion of v in v 5.571 * * * [progress]: simplifying candidates 5.572 * [simplify]: Simplifying using # : (/ PI 2) (asin (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)) (log (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (exp (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (* (cbrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (cbrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (cbrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (* (* (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)) (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (* 4.0 (+ (* v v) (pow v 4))) (+ (log 4.0) (log (+ (* v v) (pow v 4)))) (log (* 4.0 (+ (* v v) (pow v 4)))) (exp (* 4.0 (+ (* v v) (pow v 4)))) (* (* (* 4.0 4.0) 4.0) (* (* (+ (* v v) (pow v 4)) (+ (* v v) (pow v 4))) (+ (* v v) (pow v 4)))) (* (cbrt (* 4.0 (+ (* v v) (pow v 4)))) (cbrt (* 4.0 (+ (* v v) (pow v 4))))) (cbrt (* 4.0 (+ (* v v) (pow v 4)))) (* (* (* 4.0 (+ (* v v) (pow v 4))) (* 4.0 (+ (* v v) (pow v 4)))) (* 4.0 (+ (* v v) (pow v 4)))) (sqrt (* 4.0 (+ (* v v) (pow v 4)))) (sqrt (* 4.0 (+ (* v v) (pow v 4)))) (* (sqrt 4.0) (sqrt (+ (* v v) (pow v 4)))) (* (sqrt 4.0) (sqrt (+ (* v v) (pow v 4)))) (* 4.0 (* v v)) (* 4.0 (pow v 4)) (* (* v v) 4.0) (* (pow v 4) 4.0) (* 4.0 (* (cbrt (+ (* v v) (pow v 4))) (cbrt (+ (* v v) (pow v 4))))) (* 4.0 (sqrt (+ (* v v) (pow v 4)))) (* 4.0 1) (* (cbrt 4.0) (+ (* v v) (pow v 4))) (* (sqrt 4.0) (+ (* v v) (pow v 4))) (* 4.0 (+ (* v v) (pow v 4))) (* 4.0 (+ (pow (* v v) 3) (pow (pow v 4) 3))) (* 4.0 (- (* (* v v) (* v v)) (* (pow v 4) (pow v 4)))) (* (exp (* v v)) (exp (pow v 4))) (log (+ (* v v) (pow v 4))) (exp (+ (* v v) (pow v 4))) (* (cbrt (+ (* v v) (pow v 4))) (cbrt (+ (* v v) (pow v 4)))) (cbrt (+ (* v v) (pow v 4))) (* (* (+ (* v v) (pow v 4)) (+ (* v v) (pow v 4))) (+ (* v v) (pow v 4))) (sqrt (+ (* v v) (pow v 4))) (sqrt (+ (* v v) (pow v 4))) (+ (pow (* v v) 3) (pow (pow v 4) 3)) (+ (* (* v v) (* v v)) (- (* (pow v 4) (pow v 4)) (* (* v v) (pow v 4)))) (- (* (* v v) (* v v)) (* (pow v 4) (pow v 4))) (- (* v v) (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)) 5.574 * * [simplify]: iteration 0 : 75 enodes (cost 668 ) 5.591 * * [simplify]: iteration 1 : 196 enodes (cost 626 ) 5.643 * * [simplify]: iteration 2 : 724 enodes (cost 546 ) 6.431 * * [simplify]: iteration 3 : 4114 enodes (cost 542 ) 8.659 * * [simplify]: iteration done : 5001 enodes (cost 542 ) 8.659 * [simplify]: Simplified to: (/ PI 2) (asin (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)) (log (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (exp (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (* (cbrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (cbrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (cbrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (pow (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)) 3) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (* 4.0 (+ (* v v) (pow v 4))) (log (* 4.0 (+ (* v v) (pow v 4)))) (log (* 4.0 (+ (* v v) (pow v 4)))) (exp (* 4.0 (+ (* v v) (pow v 4)))) (pow (* 4.0 (+ (* v v) (pow v 4))) 3) (* (cbrt (* 4.0 (+ (* v v) (pow v 4)))) (cbrt (* 4.0 (+ (* v v) (pow v 4))))) (cbrt (* 4.0 (+ (* v v) (pow v 4)))) (pow (* 4.0 (+ (* v v) (pow v 4))) 3) (sqrt (* 4.0 (+ (* v v) (pow v 4)))) (sqrt (* 4.0 (+ (* v v) (pow v 4)))) (* (sqrt 4.0) (sqrt (+ (* v v) (pow v 4)))) (* (sqrt 4.0) (sqrt (+ (* v v) (pow v 4)))) (* 4.0 (* v v)) (* 4.0 (pow v 4)) (* 4.0 (* v v)) (* 4.0 (pow v 4)) (* 4.0 (* (cbrt (+ (* v v) (pow v 4))) (cbrt (+ (* v v) (pow v 4))))) (* 4.0 (sqrt (+ (* v v) (pow v 4)))) 4.0 (* (cbrt 4.0) (+ (* v v) (pow v 4))) (* (sqrt 4.0) (+ (* v v) (pow v 4))) (* 4.0 (+ (* v v) (pow v 4))) (* 4.0 (+ (pow v 6) (pow v 12))) (* 4.0 (- (pow v 4) (pow v 8))) (exp (+ (* v v) (pow v 4))) (log (+ (* v v) (pow v 4))) (exp (+ (* v v) (pow v 4))) (* (cbrt (+ (* v v) (pow v 4))) (cbrt (+ (* v v) (pow v 4)))) (cbrt (+ (* v v) (pow v 4))) (pow (+ (* v v) (pow v 4)) 3) (sqrt (* v (+ v (pow v 3)))) (sqrt (* v (+ v (pow v 3)))) (+ (pow v 6) (pow v 12)) (+ (- (pow v 8) (pow v 6)) (pow v 4)) (- (pow v 4) (pow v 8)) (- (* v v) (pow v 4)) (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)) (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)) (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)) (* 4.0 (+ (* v v) (pow v 4))) (* 4.0 (+ (* v v) (pow v 4))) (* 4.0 (+ (* v v) (pow v 4))) (* v (+ v (pow v 3))) (* v (+ v (pow v 3))) (* v (+ v (pow v 3))) 8.660 * * * [progress]: adding candidates to table 8.766 * * [progress]: iteration 4 / 4 8.766 * * * [progress]: picking best candidate 8.771 * * * * [pick]: Picked # 8.771 * * * [progress]: localizing error 8.782 * * * [progress]: generating rewritten candidates 8.782 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 8.789 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 8.790 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 8.790 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 8.793 * * * [progress]: generating series expansions 8.793 * * * * [progress]: [ 1 / 4 ] generating series at (2) 8.793 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in (v) around 0 8.794 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 8.794 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 8.795 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in (v) around 0 8.795 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 8.795 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 8.797 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in (v) around 0 8.797 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 8.797 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 8.798 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 8.798 * [approximate]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) in (v) around 0 8.798 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) in v 8.798 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 8.799 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) in v 8.799 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 8.805 * [approximate]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in (v) around 0 8.805 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 8.805 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 8.805 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 8.806 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 8.811 * [approximate]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in (v) around 0 8.811 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 8.811 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 8.812 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 8.812 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 8.821 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 8.821 * [approximate]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) in (v) around 0 8.821 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) in v 8.821 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 8.822 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) in v 8.822 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 8.828 * [approximate]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in (v) around 0 8.828 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 8.828 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 8.829 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 8.829 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 8.835 * [approximate]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in (v) around 0 8.835 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 8.835 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 8.835 * [taylor]: Taking taylor expansion of (sqrt (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0))) in v 8.835 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 8.841 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 8.841 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in (v) around 0 8.841 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 8.842 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) in v 8.843 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in (v) around 0 8.843 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 8.843 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 8.844 * [approximate]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in (v) around 0 8.844 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 8.844 * [taylor]: Taking taylor expansion of (acos (- (+ (* 4.0 (/ 1 (pow v 4))) (* 4.0 (/ 1 (pow v 2)))) 1.0)) in v 8.845 * * * [progress]: simplifying candidates 8.847 * [simplify]: Simplifying using # : (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)) (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (* (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (* (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)) (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (+ 1 1) (+ (log (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (log (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))) (log (* (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))) (exp (* (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))) (* (* (* (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (* (* (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))) (* (cbrt (* (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))) (cbrt (* (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))))) (cbrt (* (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))) (* (* (* (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (* (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))) (* (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))) (* (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)) (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (* (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))) (sqrt (* (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))) (* (* (cbrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (cbrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))) (* (cbrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (cbrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))))) (* (cbrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (cbrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))) (* (sqrt (* (cbrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (cbrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))) (sqrt (* (cbrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (cbrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))))) (* (sqrt (cbrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt (cbrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))) (* 1 1) (* (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (* (cbrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (cbrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))))) (* (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (* (cbrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (cbrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))))) (* (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))) (* (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt 1)) (* (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))) (* (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) 1) (* (cbrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (* (sqrt (cbrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (* (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (* (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (* (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (log (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (exp (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (* (cbrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (cbrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))) (cbrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (* (* (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt (* (cbrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (cbrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))) (sqrt (cbrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt 1) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (/ 1 2) (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (log (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (exp (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (* (cbrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (cbrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))) (cbrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (* (* (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt (* (cbrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (cbrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))) (sqrt (cbrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt 1) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (/ 1 2) (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (/ PI 2) (asin (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)) (log (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (exp (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (* (cbrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (cbrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (cbrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (* (* (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)) (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) (sqrt (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0))) (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) (acos (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0)) 8.851 * * [simplify]: iteration 0 : 72 enodes (cost 2344 ) 8.869 * * [simplify]: iteration 1 : 124 enodes (cost 1615 ) 8.905 * * [simplify]: iteration 2 : 343 enodes (cost 1445 ) 9.166 * * [simplify]: iteration 3 : 1771 enodes (cost 1376 ) 10.352 * * [simplify]: iteration done : 5000 enodes (cost 1376 ) 10.353 * [simplify]: Simplified to: 1 1 2 1 1 (pow (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) 4) (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)) (pow (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) 4) 2 (log (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (log (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (exp (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (pow (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)) 3) (* (cbrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (cbrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (cbrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (pow (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)) 3) (pow (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) 4) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (pow (cbrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) 4) (* (cbrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (cbrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))) (* (cbrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (cbrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (cbrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) 1 (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) 1 (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) 1 2 1 (* (pow (cbrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) 4) (cbrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))) (* (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (fabs (cbrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))) (pow (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) 3) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (pow (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) 3) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (pow (cbrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) 4) (* (sqrt (cbrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (pow (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) 3) (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)) (pow (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) 3) (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)) (log (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (exp (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (* (cbrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (cbrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))) (cbrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (pow (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) 3) (fabs (cbrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt (cbrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) 1 (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) 1/2 (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (log (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (exp (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (* (cbrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (cbrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))) (cbrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (pow (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) 3) (fabs (cbrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt (cbrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) 1 (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) 1/2 (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (sqrt (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (/ PI 2) (asin (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)) (log (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (exp (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (* (cbrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (cbrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)))) (cbrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (pow (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)) 3) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)) (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)) (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (sqrt (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))) (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)) (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)) (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0)) 10.353 * * * [progress]: adding candidates to table 10.504 * [progress]: [Phase 3 of 3] Extracting. 10.504 * * [regime]: Finding splitpoints for: (# # # #) 10.506 * * * [regime-changes]: Trying 2 branch expressions: ((* v v) v) 10.506 * * * * [regimes]: Trying to branch on (* v v) from (# # # #) 10.522 * * * * [regimes]: Trying to branch on v from (# # # #) 10.542 * * * [regime]: Found split indices: #