9.959 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying using # : (/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 0.027 * * [simplify]: iteration 0 : 10 enodes (cost 25 ) 0.029 * * [simplify]: iteration 1 : 31 enodes (cost 25 ) 0.035 * * [simplify]: iteration 2 : 163 enodes (cost 23 ) 0.077 * * [simplify]: iteration 3 : 885 enodes (cost 19 ) 0.549 * * [simplify]: iteration done : 5000 enodes (cost 17 ) 0.549 * [simplify]: Simplified to: (* (/ i 2.0) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0)) 0.553 * * [progress]: iteration 1 / 4 0.553 * * * [progress]: picking best candidate 0.557 * * * * [pick]: Picked # 0.557 * * * [progress]: localizing error 0.566 * * * [progress]: generating rewritten candidates 0.566 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1) 0.579 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.620 * * * [progress]: generating series expansions 0.620 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1) 0.620 * [approximate]: Taking taylor expansion of (/ i (- (* 4.0 (pow i 2)) 1.0)) in (i) around 0 0.620 * [taylor]: Taking taylor expansion of (/ i (- (* 4.0 (pow i 2)) 1.0)) in i 0.620 * [taylor]: Taking taylor expansion of i in i 0.620 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.620 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.620 * [taylor]: Taking taylor expansion of 4.0 in i 0.620 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.620 * [taylor]: Taking taylor expansion of i in i 0.620 * [taylor]: Taking taylor expansion of 1.0 in i 0.620 * [taylor]: Taking taylor expansion of (/ i (- (* 4.0 (pow i 2)) 1.0)) in i 0.620 * [taylor]: Taking taylor expansion of i in i 0.620 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.620 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.620 * [taylor]: Taking taylor expansion of 4.0 in i 0.620 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.620 * [taylor]: Taking taylor expansion of i in i 0.620 * [taylor]: Taking taylor expansion of 1.0 in i 0.621 * [approximate]: Taking taylor expansion of (/ 1 (* (- (* 4.0 (/ 1 (pow i 2))) 1.0) i)) in (i) around 0 0.621 * [taylor]: Taking taylor expansion of (/ 1 (* (- (* 4.0 (/ 1 (pow i 2))) 1.0) i)) in i 0.621 * [taylor]: Taking taylor expansion of (* (- (* 4.0 (/ 1 (pow i 2))) 1.0) i) in i 0.621 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.621 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.621 * [taylor]: Taking taylor expansion of 4.0 in i 0.621 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.621 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.621 * [taylor]: Taking taylor expansion of i in i 0.621 * [taylor]: Taking taylor expansion of 1.0 in i 0.621 * [taylor]: Taking taylor expansion of i in i 0.622 * [taylor]: Taking taylor expansion of (/ 1 (* (- (* 4.0 (/ 1 (pow i 2))) 1.0) i)) in i 0.622 * [taylor]: Taking taylor expansion of (* (- (* 4.0 (/ 1 (pow i 2))) 1.0) i) in i 0.622 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.622 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.622 * [taylor]: Taking taylor expansion of 4.0 in i 0.622 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.622 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.622 * [taylor]: Taking taylor expansion of i in i 0.622 * [taylor]: Taking taylor expansion of 1.0 in i 0.622 * [taylor]: Taking taylor expansion of i in i 0.623 * [approximate]: Taking taylor expansion of (/ -1 (* (- (* 4.0 (/ 1 (pow i 2))) 1.0) i)) in (i) around 0 0.623 * [taylor]: Taking taylor expansion of (/ -1 (* (- (* 4.0 (/ 1 (pow i 2))) 1.0) i)) in i 0.623 * [taylor]: Taking taylor expansion of -1 in i 0.623 * [taylor]: Taking taylor expansion of (* (- (* 4.0 (/ 1 (pow i 2))) 1.0) i) in i 0.623 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.624 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.624 * [taylor]: Taking taylor expansion of 4.0 in i 0.624 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.624 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.624 * [taylor]: Taking taylor expansion of i in i 0.624 * [taylor]: Taking taylor expansion of 1.0 in i 0.624 * [taylor]: Taking taylor expansion of i in i 0.624 * [taylor]: Taking taylor expansion of (/ -1 (* (- (* 4.0 (/ 1 (pow i 2))) 1.0) i)) in i 0.624 * [taylor]: Taking taylor expansion of -1 in i 0.624 * [taylor]: Taking taylor expansion of (* (- (* 4.0 (/ 1 (pow i 2))) 1.0) i) in i 0.624 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.624 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.624 * [taylor]: Taking taylor expansion of 4.0 in i 0.624 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.624 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.624 * [taylor]: Taking taylor expansion of i in i 0.624 * [taylor]: Taking taylor expansion of 1.0 in i 0.624 * [taylor]: Taking taylor expansion of i in i 0.626 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.626 * [approximate]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in (i) around 0 0.626 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in i 0.626 * [taylor]: Taking taylor expansion of 0.25 in i 0.626 * [taylor]: Taking taylor expansion of (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0)) in i 0.626 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.626 * [taylor]: Taking taylor expansion of i in i 0.626 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.626 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.626 * [taylor]: Taking taylor expansion of 4.0 in i 0.626 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.626 * [taylor]: Taking taylor expansion of i in i 0.626 * [taylor]: Taking taylor expansion of 1.0 in i 0.626 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in i 0.626 * [taylor]: Taking taylor expansion of 0.25 in i 0.626 * [taylor]: Taking taylor expansion of (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0)) in i 0.626 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.626 * [taylor]: Taking taylor expansion of i in i 0.626 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.626 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.626 * [taylor]: Taking taylor expansion of 4.0 in i 0.626 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.626 * [taylor]: Taking taylor expansion of i in i 0.626 * [taylor]: Taking taylor expansion of 1.0 in i 0.628 * [approximate]: Taking taylor expansion of (/ 0.25 (* (- (* 4.0 (/ 1 (pow i 2))) 1.0) (pow i 2))) in (i) around 0 0.628 * [taylor]: Taking taylor expansion of (/ 0.25 (* (- (* 4.0 (/ 1 (pow i 2))) 1.0) (pow i 2))) in i 0.628 * [taylor]: Taking taylor expansion of 0.25 in i 0.628 * [taylor]: Taking taylor expansion of (* (- (* 4.0 (/ 1 (pow i 2))) 1.0) (pow i 2)) in i 0.628 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.628 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.628 * [taylor]: Taking taylor expansion of 4.0 in i 0.628 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.628 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.628 * [taylor]: Taking taylor expansion of i in i 0.628 * [taylor]: Taking taylor expansion of 1.0 in i 0.628 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.628 * [taylor]: Taking taylor expansion of i in i 0.628 * [taylor]: Taking taylor expansion of (/ 0.25 (* (- (* 4.0 (/ 1 (pow i 2))) 1.0) (pow i 2))) in i 0.628 * [taylor]: Taking taylor expansion of 0.25 in i 0.628 * [taylor]: Taking taylor expansion of (* (- (* 4.0 (/ 1 (pow i 2))) 1.0) (pow i 2)) in i 0.628 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.628 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.628 * [taylor]: Taking taylor expansion of 4.0 in i 0.628 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.628 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.628 * [taylor]: Taking taylor expansion of i in i 0.628 * [taylor]: Taking taylor expansion of 1.0 in i 0.628 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.628 * [taylor]: Taking taylor expansion of i in i 0.630 * [approximate]: Taking taylor expansion of (/ 0.25 (* (- (* 4.0 (/ 1 (pow i 2))) 1.0) (pow i 2))) in (i) around 0 0.630 * [taylor]: Taking taylor expansion of (/ 0.25 (* (- (* 4.0 (/ 1 (pow i 2))) 1.0) (pow i 2))) in i 0.630 * [taylor]: Taking taylor expansion of 0.25 in i 0.630 * [taylor]: Taking taylor expansion of (* (- (* 4.0 (/ 1 (pow i 2))) 1.0) (pow i 2)) in i 0.630 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.630 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.630 * [taylor]: Taking taylor expansion of 4.0 in i 0.630 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.630 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.630 * [taylor]: Taking taylor expansion of i in i 0.630 * [taylor]: Taking taylor expansion of 1.0 in i 0.630 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.630 * [taylor]: Taking taylor expansion of i in i 0.630 * [taylor]: Taking taylor expansion of (/ 0.25 (* (- (* 4.0 (/ 1 (pow i 2))) 1.0) (pow i 2))) in i 0.630 * [taylor]: Taking taylor expansion of 0.25 in i 0.630 * [taylor]: Taking taylor expansion of (* (- (* 4.0 (/ 1 (pow i 2))) 1.0) (pow i 2)) in i 0.630 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.630 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.630 * [taylor]: Taking taylor expansion of 4.0 in i 0.630 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.630 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.630 * [taylor]: Taking taylor expansion of i in i 0.630 * [taylor]: Taking taylor expansion of 1.0 in i 0.630 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.630 * [taylor]: Taking taylor expansion of i in i 0.632 * * * [progress]: simplifying candidates 0.634 * [simplify]: Simplifying using # : (- (log i) (log (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (log (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (exp (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (* (* i i) i) (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (* (cbrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (cbrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (cbrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (* (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (neg i) (neg (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (* (cbrt i) (cbrt i)) (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (/ (cbrt i) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (* (cbrt i) (cbrt i)) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (cbrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (* (cbrt i) (cbrt i)) 1) (/ (cbrt i) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (* (cbrt i) (cbrt i)) (+ (* 2.0 i) (sqrt 1.0))) (/ (cbrt i) (- (* 2.0 i) (sqrt 1.0))) (/ (sqrt i) (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (/ (sqrt i) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (sqrt i) 1) (/ (sqrt i) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (sqrt i) (+ (* 2.0 i) (sqrt 1.0))) (/ (sqrt i) (- (* 2.0 i) (sqrt 1.0))) (/ 1 (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (/ i (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ 1 (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ 1 1) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (/ i (- (* 2.0 i) (sqrt 1.0))) (/ 1 (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) i) (/ i (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (/ i (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i 1) (/ i (+ (* 2.0 i) (sqrt 1.0))) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) (cbrt i)) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) (sqrt i)) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) i) (/ i (- (pow (* (* 2.0 i) (* 2.0 i)) 3) (pow 1.0 3))) (/ i (- (* (* (* 2.0 i) (* 2.0 i)) (* (* 2.0 i) (* 2.0 i))) (* 1.0 1.0))) (* (/ i 2.0) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0)) (+ (- (log i) (log 2.0)) (- (- (log i) (log (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (log 2.0))) (+ (- (log i) (log 2.0)) (- (log (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (log 2.0))) (+ (- (log i) (log 2.0)) (log (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0))) (+ (log (/ i 2.0)) (- (- (log i) (log (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (log 2.0))) (+ (log (/ i 2.0)) (- (log (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (log 2.0))) (+ (log (/ i 2.0)) (log (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0))) (log (* (/ i 2.0) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0))) (exp (* (/ i 2.0) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0))) (* (/ (* (* i i) i) (* (* 2.0 2.0) 2.0)) (/ (/ (* (* i i) i) (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (* (* 2.0 2.0) 2.0))) (* (/ (* (* i i) i) (* (* 2.0 2.0) 2.0)) (/ (* (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (* (* 2.0 2.0) 2.0))) (* (/ (* (* i i) i) (* (* 2.0 2.0) 2.0)) (* (* (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0)) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0))) (* (* (* (/ i 2.0) (/ i 2.0)) (/ i 2.0)) (/ (/ (* (* i i) i) (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (* (* 2.0 2.0) 2.0))) (* (* (* (/ i 2.0) (/ i 2.0)) (/ i 2.0)) (/ (* (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (* (* 2.0 2.0) 2.0))) (* (* (* (/ i 2.0) (/ i 2.0)) (/ i 2.0)) (* (* (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0)) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0))) (* (cbrt (* (/ i 2.0) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0))) (cbrt (* (/ i 2.0) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0)))) (cbrt (* (/ i 2.0) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0))) (* (* (* (/ i 2.0) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0)) (* (/ i 2.0) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0))) (* (/ i 2.0) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0))) (sqrt (* (/ i 2.0) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0))) (sqrt (* (/ i 2.0) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0))) (* i (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (* 2.0 2.0) (* (sqrt (/ i 2.0)) (sqrt (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0))) (* (sqrt (/ i 2.0)) (sqrt (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0))) (* (sqrt (/ i 2.0)) (/ (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt 2.0))) (* (sqrt (/ i 2.0)) (/ (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt 2.0))) (* (sqrt (/ i 2.0)) (/ (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt 2.0))) (* (sqrt (/ i 2.0)) (/ (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt 2.0))) (* (/ (sqrt i) (sqrt 2.0)) (sqrt (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0))) (* (/ (sqrt i) (sqrt 2.0)) (sqrt (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0))) (* (/ (sqrt i) (sqrt 2.0)) (/ (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt 2.0))) (* (/ (sqrt i) (sqrt 2.0)) (/ (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt 2.0))) (* (/ (sqrt i) (sqrt 2.0)) (/ (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt 2.0))) (* (/ (sqrt i) (sqrt 2.0)) (/ (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt 2.0))) (* (/ i 2.0) (* (cbrt (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0)) (cbrt (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0)))) (* (/ i 2.0) (sqrt (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0))) (* (/ i 2.0) (/ (* (cbrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (cbrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (* (cbrt 2.0) (cbrt 2.0)))) (* (/ i 2.0) (/ (* (cbrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (cbrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (sqrt 2.0))) (* (/ i 2.0) (/ (* (cbrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (cbrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) 1)) (* (/ i 2.0) (/ (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (* (cbrt 2.0) (cbrt 2.0)))) (* (/ i 2.0) (/ (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt 2.0))) (* (/ i 2.0) (/ (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) 1)) (* (/ i 2.0) (/ (/ (* (cbrt i) (cbrt i)) (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (* (cbrt 2.0) (cbrt 2.0)))) (* (/ i 2.0) (/ (/ (* (cbrt i) (cbrt i)) (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (sqrt 2.0))) (* (/ i 2.0) (/ (/ (* (cbrt i) (cbrt i)) (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) 1)) (* (/ i 2.0) (/ (/ (* (cbrt i) (cbrt i)) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (* (cbrt 2.0) (cbrt 2.0)))) (* (/ i 2.0) (/ (/ (* (cbrt i) (cbrt i)) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt 2.0))) (* (/ i 2.0) (/ (/ (* (cbrt i) (cbrt i)) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) 1)) (* (/ i 2.0) (/ (/ (* (cbrt i) (cbrt i)) 1) (* (cbrt 2.0) (cbrt 2.0)))) (* (/ i 2.0) (/ (/ (* (cbrt i) (cbrt i)) 1) (sqrt 2.0))) (* (/ i 2.0) (/ (/ (* (cbrt i) (cbrt i)) 1) 1)) (* (/ i 2.0) (/ (/ (* (cbrt i) (cbrt i)) (+ (* 2.0 i) (sqrt 1.0))) (* (cbrt 2.0) (cbrt 2.0)))) (* (/ i 2.0) (/ (/ (* (cbrt i) (cbrt i)) (+ (* 2.0 i) (sqrt 1.0))) (sqrt 2.0))) (* (/ i 2.0) (/ (/ (* (cbrt i) (cbrt i)) (+ (* 2.0 i) (sqrt 1.0))) 1)) (* (/ i 2.0) (/ (/ (sqrt i) (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (* (cbrt 2.0) (cbrt 2.0)))) (* (/ i 2.0) (/ (/ (sqrt i) (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (sqrt 2.0))) (* (/ i 2.0) (/ (/ (sqrt i) (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) 1)) (* (/ i 2.0) (/ (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (* (cbrt 2.0) (cbrt 2.0)))) (* (/ i 2.0) (/ (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt 2.0))) (* (/ i 2.0) (/ (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) 1)) (* (/ i 2.0) (/ (/ (sqrt i) 1) (* (cbrt 2.0) (cbrt 2.0)))) (* (/ i 2.0) (/ (/ (sqrt i) 1) (sqrt 2.0))) (* (/ i 2.0) (/ (/ (sqrt i) 1) 1)) (* (/ i 2.0) (/ (/ (sqrt i) (+ (* 2.0 i) (sqrt 1.0))) (* (cbrt 2.0) (cbrt 2.0)))) (* (/ i 2.0) (/ (/ (sqrt i) (+ (* 2.0 i) (sqrt 1.0))) (sqrt 2.0))) (* (/ i 2.0) (/ (/ (sqrt i) (+ (* 2.0 i) (sqrt 1.0))) 1)) (* (/ i 2.0) (/ (/ 1 (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (* (cbrt 2.0) (cbrt 2.0)))) (* (/ i 2.0) (/ (/ 1 (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (sqrt 2.0))) (* (/ i 2.0) (/ (/ 1 (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) 1)) (* (/ i 2.0) (/ (/ 1 (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (* (cbrt 2.0) (cbrt 2.0)))) (* (/ i 2.0) (/ (/ 1 (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt 2.0))) (* (/ i 2.0) (/ (/ 1 (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) 1)) (* (/ i 2.0) (/ (/ 1 1) (* (cbrt 2.0) (cbrt 2.0)))) (* (/ i 2.0) (/ (/ 1 1) (sqrt 2.0))) (* (/ i 2.0) (/ (/ 1 1) 1)) (* (/ i 2.0) (/ (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (cbrt 2.0) (cbrt 2.0)))) (* (/ i 2.0) (/ (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (sqrt 2.0))) (* (/ i 2.0) (/ (/ 1 (+ (* 2.0 i) (sqrt 1.0))) 1)) (* (/ i 2.0) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (* (/ i 2.0) (/ 1 (sqrt 2.0))) (* (/ i 2.0) (/ 1 1)) (* (/ i 2.0) (/ i (* (cbrt 2.0) (cbrt 2.0)))) (* (/ i 2.0) (/ i (sqrt 2.0))) (* (/ i 2.0) (/ i 1)) (* (/ i 2.0) (/ (/ i (- (pow (* (* 2.0 i) (* 2.0 i)) 3) (pow 1.0 3))) (* (cbrt 2.0) (cbrt 2.0)))) (* (/ i 2.0) (/ (/ i (- (pow (* (* 2.0 i) (* 2.0 i)) 3) (pow 1.0 3))) (sqrt 2.0))) (* (/ i 2.0) (/ (/ i (- (pow (* (* 2.0 i) (* 2.0 i)) 3) (pow 1.0 3))) 1)) (* (/ i 2.0) (/ (/ i (- (* (* (* 2.0 i) (* 2.0 i)) (* (* 2.0 i) (* 2.0 i))) (* 1.0 1.0))) (* (cbrt 2.0) (cbrt 2.0)))) (* (/ i 2.0) (/ (/ i (- (* (* (* 2.0 i) (* 2.0 i)) (* (* 2.0 i) (* 2.0 i))) (* 1.0 1.0))) (sqrt 2.0))) (* (/ i 2.0) (/ (/ i (- (* (* (* 2.0 i) (* 2.0 i)) (* (* 2.0 i) (* 2.0 i))) (* 1.0 1.0))) 1)) (* (/ i 2.0) 1) (* (/ i 2.0) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (* (cbrt (/ i 2.0)) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0)) (* (sqrt (/ i 2.0)) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0)) (* (/ (cbrt i) (cbrt 2.0)) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0)) (* (/ (cbrt i) (sqrt 2.0)) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0)) (* (/ (cbrt i) 2.0) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0)) (* (/ (sqrt i) (cbrt 2.0)) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0)) (* (/ (sqrt i) (sqrt 2.0)) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0)) (* (/ (sqrt i) 2.0) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0)) (* (/ i (cbrt 2.0)) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0)) (* (/ i (sqrt 2.0)) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0)) (* (/ i 2.0) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0)) (* (/ i 2.0) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0)) (* (/ 1 2.0) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0)) (* (/ i 2.0) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (* i (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0)) (neg (+ (* 16.0 (pow i 5)) (+ (* 1.0 i) (* 4.0 (pow i 3))))) (+ (* 0.25 (/ 1 i)) (+ (* 0.015625 (/ 1 (pow i 5))) (* 0.0625 (/ 1 (pow i 3))))) (+ (* 0.25 (/ 1 i)) (+ (* 0.015625 (/ 1 (pow i 5))) (* 0.0625 (/ 1 (pow i 3))))) (neg (+ (* 1.0 (pow i 4)) (+ (* 4.0 (pow i 6)) (* 0.25 (pow i 2))))) (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) 0.643 * * [simplify]: iteration 0 : 295 enodes (cost 3073 ) 0.696 * * [simplify]: iteration 1 : 952 enodes (cost 3003 ) 0.896 * * [simplify]: iteration 2 : 4196 enodes (cost 2659 ) 1.475 * * [simplify]: iteration done : 5000 enodes (cost 2657 ) 1.476 * [simplify]: Simplified to: (- (log i) (log (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (log (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (exp (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (pow i 3) (pow (- (* (* 2.0 i) (* 2.0 i)) 1.0) 3)) (* (cbrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (cbrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (cbrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (pow (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 3) (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (neg i) (neg (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (* (cbrt i) (cbrt i)) (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (/ (cbrt i) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (* (cbrt i) (cbrt i)) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (cbrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (* (cbrt i) (cbrt i)) (/ (cbrt i) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (* (cbrt i) (cbrt i)) (+ (* 2.0 i) (sqrt 1.0))) (/ (cbrt i) (- (* 2.0 i) (sqrt 1.0))) (/ (sqrt i) (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (/ (sqrt i) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt i) (/ (sqrt i) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (sqrt i) (+ (* 2.0 i) (sqrt 1.0))) (/ (sqrt i) (- (* 2.0 i) (sqrt 1.0))) (/ 1 (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (/ i (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ 1 (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) 1 (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (/ i (- (* 2.0 i) (sqrt 1.0))) (/ 1 (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) i) (/ i (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (/ i (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) i (/ i (+ (* 2.0 i) (sqrt 1.0))) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) (cbrt i)) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) (sqrt i)) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) i) (/ i (- (pow (* 2.0 i) 6) (pow 1.0 3))) (/ i (- (* (pow (* 2.0 i) 3) (* 2.0 i)) (* 1.0 1.0))) (* (/ i 2.0) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0)) (+ (- (log i) (log 2.0)) (- (- (log i) (log (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (log 2.0))) (+ (- (log i) (log 2.0)) (log (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0))) (+ (- (log i) (log 2.0)) (log (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0))) (+ (log (/ i 2.0)) (- (- (log i) (log (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (log 2.0))) (log (* (/ i 2.0) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0))) (log (* (/ i 2.0) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0))) (log (* (/ i 2.0) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0))) (exp (* (/ i 2.0) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0))) (/ (/ (pow i 6) (* (pow 2.0 3) (pow (- (* (* 2.0 i) (* 2.0 i)) 1.0) 3))) (pow 2.0 3)) (/ (/ (pow i 3) (pow 2.0 3)) (/ (pow 2.0 3) (pow (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 3))) (/ (* (pow i 3) (pow (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0) 3)) (pow 2.0 3)) (/ (pow (/ i 2.0) 3) (/ (pow 2.0 3) (/ (pow i 3) (pow (- (* (* 2.0 i) (* 2.0 i)) 1.0) 3)))) (/ (pow (/ i 2.0) 3) (/ (pow 2.0 3) (pow (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 3))) (pow (* (/ i 2.0) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0)) 3) (* (cbrt (* (/ i 2.0) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0))) (cbrt (* (/ i 2.0) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0)))) (cbrt (* (/ i 2.0) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0))) (pow (* (/ i 2.0) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0)) 3) (sqrt (* (/ i 2.0) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0))) (sqrt (* (/ i 2.0) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0))) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) i) (* 2.0 2.0) (* (sqrt (/ i 2.0)) (sqrt (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0))) (* (sqrt (/ i 2.0)) (sqrt (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0))) (* (sqrt (/ i 2.0)) (/ (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt 2.0))) (* (sqrt (/ i 2.0)) (/ (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt 2.0))) (* (sqrt (/ i 2.0)) (/ (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt 2.0))) (* (sqrt (/ i 2.0)) (/ (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt 2.0))) (* (/ (sqrt i) (sqrt 2.0)) (sqrt (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0))) (* (/ (sqrt i) (sqrt 2.0)) (sqrt (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0))) (* (/ (sqrt i) (sqrt 2.0)) (/ (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt 2.0))) (* (/ (sqrt i) (sqrt 2.0)) (/ (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt 2.0))) (* (/ (sqrt i) (sqrt 2.0)) (/ (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt 2.0))) (* (/ (sqrt i) (sqrt 2.0)) (/ (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt 2.0))) (* (/ i 2.0) (* (cbrt (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0)) (cbrt (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0)))) (* (/ i 2.0) (sqrt (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0))) (* (/ i 2.0) (/ (* (cbrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (cbrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (* (cbrt 2.0) (cbrt 2.0)))) (* (/ i 2.0) (/ (* (cbrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (cbrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (sqrt 2.0))) (* (/ i 2.0) (* (cbrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (cbrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))))) (* (/ i 2.0) (/ (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (* (cbrt 2.0) (cbrt 2.0)))) (* (/ i 2.0) (/ (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt 2.0))) (* (/ i 2.0) (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (* (/ i 2.0) (/ (/ (* (cbrt i) (cbrt i)) (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (* (cbrt 2.0) (cbrt 2.0)))) (* (/ i 2.0) (/ (/ (* (cbrt i) (cbrt i)) (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (sqrt 2.0))) (* (/ i 2.0) (/ (* (cbrt i) (cbrt i)) (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))))) (* (/ i 2.0) (/ (/ (* (cbrt i) (cbrt i)) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (* (cbrt 2.0) (cbrt 2.0)))) (* (/ i 2.0) (/ (/ (* (cbrt i) (cbrt i)) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt 2.0))) (* (/ i 2.0) (/ (* (cbrt i) (cbrt i)) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (* (/ i 2.0) (/ (* (cbrt i) (cbrt i)) (* (cbrt 2.0) (cbrt 2.0)))) (* (/ (* (cbrt i) (cbrt i)) (sqrt 2.0)) (/ i 2.0)) (* (/ i 2.0) (* (cbrt i) (cbrt i))) (* (/ i 2.0) (/ (/ (* (cbrt i) (cbrt i)) (+ (* 2.0 i) (sqrt 1.0))) (* (cbrt 2.0) (cbrt 2.0)))) (* (/ i 2.0) (/ (/ (* (cbrt i) (cbrt i)) (+ (* 2.0 i) (sqrt 1.0))) (sqrt 2.0))) (* (/ i 2.0) (/ (* (cbrt i) (cbrt i)) (+ (* 2.0 i) (sqrt 1.0)))) (* (/ i 2.0) (/ (/ (sqrt i) (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (* (cbrt 2.0) (cbrt 2.0)))) (* (/ i 2.0) (/ (/ (sqrt i) (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (sqrt 2.0))) (* (/ i 2.0) (/ (sqrt i) (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))))) (* (/ i 2.0) (/ (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (* (cbrt 2.0) (cbrt 2.0)))) (* (/ i 2.0) (/ (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt 2.0))) (* (/ i 2.0) (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (/ (* (/ i 2.0) (sqrt i)) (* (cbrt 2.0) (cbrt 2.0))) (* (/ i 2.0) (/ (sqrt i) (sqrt 2.0))) (* (/ i 2.0) (sqrt i)) (* (/ i 2.0) (/ (/ (sqrt i) (+ (* 2.0 i) (sqrt 1.0))) (* (cbrt 2.0) (cbrt 2.0)))) (* (/ i 2.0) (/ (/ (sqrt i) (+ (* 2.0 i) (sqrt 1.0))) (sqrt 2.0))) (* (/ i 2.0) (/ (sqrt i) (+ (* 2.0 i) (sqrt 1.0)))) (/ (/ i (* (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))))) 2.0) (/ (/ i (* (sqrt 2.0) (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))))) 2.0) (/ (/ i 2.0) (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (/ (/ i 2.0) (* (* (cbrt 2.0) (cbrt 2.0)) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (/ (/ i 2.0) (* (sqrt 2.0) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (/ (/ i (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) 2.0) (/ (/ i 2.0) (* (cbrt 2.0) (cbrt 2.0))) (/ (/ i 2.0) (sqrt 2.0)) (/ i 2.0) (/ (/ i 2.0) (* (* (cbrt 2.0) (cbrt 2.0)) (+ (* 2.0 i) (sqrt 1.0)))) (/ (/ i 2.0) (* (sqrt 2.0) (+ (* 2.0 i) (sqrt 1.0)))) (/ (/ i 2.0) (+ (* 2.0 i) (sqrt 1.0))) (/ (/ i 2.0) (* (cbrt 2.0) (cbrt 2.0))) (/ (/ i 2.0) (sqrt 2.0)) (/ i 2.0) (* (/ i 2.0) (/ i (* (cbrt 2.0) (cbrt 2.0)))) (* (/ i 2.0) (/ i (sqrt 2.0))) (* (/ i 2.0) i) (* (/ (/ i (* (cbrt 2.0) (cbrt 2.0))) (- (pow (* 2.0 i) 6) (pow 1.0 3))) (/ i 2.0)) (* (/ (/ i (sqrt 2.0)) (- (pow (* 2.0 i) 6) (pow 1.0 3))) (/ i 2.0)) (/ (* (/ i 2.0) i) (- (pow (* 2.0 i) 6) (pow 1.0 3))) (* (/ (/ i (- (* (pow (* 2.0 i) 3) (* 2.0 i)) (* 1.0 1.0))) (* (cbrt 2.0) (cbrt 2.0))) (/ i 2.0)) (* (/ (/ i (- (* (pow (* 2.0 i) 3) (* 2.0 i)) (* 1.0 1.0))) (sqrt 2.0)) (/ i 2.0)) (/ (* (/ i 2.0) i) (- (* (pow (* 2.0 i) 3) (* 2.0 i)) (* 1.0 1.0))) (/ i 2.0) (* (/ i 2.0) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (* (cbrt (/ i 2.0)) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0)) (* (sqrt (/ i 2.0)) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0)) (* (/ (cbrt i) (cbrt 2.0)) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0)) (* (/ (cbrt i) (sqrt 2.0)) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0)) (* (/ (cbrt i) 2.0) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0)) (* (/ (sqrt i) (cbrt 2.0)) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0)) (* (/ (sqrt i) (sqrt 2.0)) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0)) (* (/ (sqrt i) 2.0) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0)) (* (/ i (cbrt 2.0)) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0)) (* (/ i (sqrt 2.0)) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0)) (* (/ i 2.0) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0)) (* (/ i 2.0) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0)) (/ (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0) 2.0) (* (/ i 2.0) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (* (/ i 2.0) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (neg (+ (* 16.0 (pow i 5)) (+ (* 1.0 i) (* 4.0 (pow i 3))))) (+ (/ 0.25 i) (+ (/ 0.015625 (pow i 5)) (/ 0.0625 (pow i 3)))) (+ (/ 0.25 i) (+ (/ 0.015625 (pow i 5)) (/ 0.0625 (pow i 3)))) (neg (+ (* 1.0 (pow i 4)) (+ (* 4.0 (pow i 6)) (* 0.25 (pow i 2))))) (+ 0.0625 (+ (/ 0.015625 (* i i)) (/ 0.00390625 (pow i 4)))) (+ 0.0625 (+ (/ 0.015625 (* i i)) (/ 0.00390625 (pow i 4)))) 1.477 * * * [progress]: adding candidates to table 1.799 * * [progress]: iteration 2 / 4 1.799 * * * [progress]: picking best candidate 1.804 * * * * [pick]: Picked # 1.804 * * * [progress]: localizing error 2.022 * * * [progress]: generating rewritten candidates 2.022 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 2.072 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 2.082 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 2.105 * * * [progress]: generating series expansions 2.105 * * * * [progress]: [ 1 / 3 ] generating series at (2) 2.106 * [approximate]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (* (- (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))))) in (i) around 0 2.106 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (* (- (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))))) in i 2.106 * [taylor]: Taking taylor expansion of 0.25 in i 2.106 * [taylor]: Taking taylor expansion of (/ (pow i 2) (* (- (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0)))) in i 2.106 * [taylor]: Taking taylor expansion of (pow i 2) in i 2.106 * [taylor]: Taking taylor expansion of i in i 2.106 * [taylor]: Taking taylor expansion of (* (- (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))) in i 2.106 * [taylor]: Taking taylor expansion of (- (* 2.0 i) (sqrt 1.0)) in i 2.106 * [taylor]: Taking taylor expansion of (* 2.0 i) in i 2.106 * [taylor]: Taking taylor expansion of 2.0 in i 2.106 * [taylor]: Taking taylor expansion of i in i 2.106 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 2.106 * [taylor]: Taking taylor expansion of 1.0 in i 2.106 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (sqrt 1.0)) in i 2.106 * [taylor]: Taking taylor expansion of (* 2.0 i) in i 2.106 * [taylor]: Taking taylor expansion of 2.0 in i 2.106 * [taylor]: Taking taylor expansion of i in i 2.106 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 2.106 * [taylor]: Taking taylor expansion of 1.0 in i 2.106 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (* (- (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))))) in i 2.106 * [taylor]: Taking taylor expansion of 0.25 in i 2.106 * [taylor]: Taking taylor expansion of (/ (pow i 2) (* (- (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0)))) in i 2.106 * [taylor]: Taking taylor expansion of (pow i 2) in i 2.106 * [taylor]: Taking taylor expansion of i in i 2.106 * [taylor]: Taking taylor expansion of (* (- (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))) in i 2.106 * [taylor]: Taking taylor expansion of (- (* 2.0 i) (sqrt 1.0)) in i 2.106 * [taylor]: Taking taylor expansion of (* 2.0 i) in i 2.106 * [taylor]: Taking taylor expansion of 2.0 in i 2.107 * [taylor]: Taking taylor expansion of i in i 2.107 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 2.107 * [taylor]: Taking taylor expansion of 1.0 in i 2.107 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (sqrt 1.0)) in i 2.107 * [taylor]: Taking taylor expansion of (* 2.0 i) in i 2.107 * [taylor]: Taking taylor expansion of 2.0 in i 2.107 * [taylor]: Taking taylor expansion of i in i 2.107 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 2.107 * [taylor]: Taking taylor expansion of 1.0 in i 2.111 * [approximate]: Taking taylor expansion of (/ 0.25 (* (+ (* 2.0 (/ 1 i)) (sqrt 1.0)) (* (pow i 2) (- (* 2.0 (/ 1 i)) (sqrt 1.0))))) in (i) around 0 2.111 * [taylor]: Taking taylor expansion of (/ 0.25 (* (+ (* 2.0 (/ 1 i)) (sqrt 1.0)) (* (pow i 2) (- (* 2.0 (/ 1 i)) (sqrt 1.0))))) in i 2.111 * [taylor]: Taking taylor expansion of 0.25 in i 2.111 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 (/ 1 i)) (sqrt 1.0)) (* (pow i 2) (- (* 2.0 (/ 1 i)) (sqrt 1.0)))) in i 2.111 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (sqrt 1.0)) in i 2.111 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 2.111 * [taylor]: Taking taylor expansion of 2.0 in i 2.111 * [taylor]: Taking taylor expansion of (/ 1 i) in i 2.111 * [taylor]: Taking taylor expansion of i in i 2.112 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 2.112 * [taylor]: Taking taylor expansion of 1.0 in i 2.112 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 2.0 (/ 1 i)) (sqrt 1.0))) in i 2.112 * [taylor]: Taking taylor expansion of (pow i 2) in i 2.112 * [taylor]: Taking taylor expansion of i in i 2.112 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 i)) (sqrt 1.0)) in i 2.112 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 2.112 * [taylor]: Taking taylor expansion of 2.0 in i 2.112 * [taylor]: Taking taylor expansion of (/ 1 i) in i 2.112 * [taylor]: Taking taylor expansion of i in i 2.112 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 2.112 * [taylor]: Taking taylor expansion of 1.0 in i 2.112 * [taylor]: Taking taylor expansion of (/ 0.25 (* (+ (* 2.0 (/ 1 i)) (sqrt 1.0)) (* (pow i 2) (- (* 2.0 (/ 1 i)) (sqrt 1.0))))) in i 2.112 * [taylor]: Taking taylor expansion of 0.25 in i 2.112 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 (/ 1 i)) (sqrt 1.0)) (* (pow i 2) (- (* 2.0 (/ 1 i)) (sqrt 1.0)))) in i 2.112 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (sqrt 1.0)) in i 2.112 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 2.112 * [taylor]: Taking taylor expansion of 2.0 in i 2.112 * [taylor]: Taking taylor expansion of (/ 1 i) in i 2.112 * [taylor]: Taking taylor expansion of i in i 2.112 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 2.112 * [taylor]: Taking taylor expansion of 1.0 in i 2.112 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 2.0 (/ 1 i)) (sqrt 1.0))) in i 2.112 * [taylor]: Taking taylor expansion of (pow i 2) in i 2.112 * [taylor]: Taking taylor expansion of i in i 2.112 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 i)) (sqrt 1.0)) in i 2.112 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 2.112 * [taylor]: Taking taylor expansion of 2.0 in i 2.112 * [taylor]: Taking taylor expansion of (/ 1 i) in i 2.112 * [taylor]: Taking taylor expansion of i in i 2.112 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 2.112 * [taylor]: Taking taylor expansion of 1.0 in i 2.115 * [approximate]: Taking taylor expansion of (/ -0.25 (* (- (sqrt 1.0) (* 2.0 (/ 1 i))) (* (pow i 2) (+ (* 2.0 (/ 1 i)) (sqrt 1.0))))) in (i) around 0 2.115 * [taylor]: Taking taylor expansion of (/ -0.25 (* (- (sqrt 1.0) (* 2.0 (/ 1 i))) (* (pow i 2) (+ (* 2.0 (/ 1 i)) (sqrt 1.0))))) in i 2.115 * [taylor]: Taking taylor expansion of -0.25 in i 2.115 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (* 2.0 (/ 1 i))) (* (pow i 2) (+ (* 2.0 (/ 1 i)) (sqrt 1.0)))) in i 2.115 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (* 2.0 (/ 1 i))) in i 2.115 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 2.115 * [taylor]: Taking taylor expansion of 1.0 in i 2.115 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 2.116 * [taylor]: Taking taylor expansion of 2.0 in i 2.116 * [taylor]: Taking taylor expansion of (/ 1 i) in i 2.116 * [taylor]: Taking taylor expansion of i in i 2.116 * [taylor]: Taking taylor expansion of (* (pow i 2) (+ (* 2.0 (/ 1 i)) (sqrt 1.0))) in i 2.116 * [taylor]: Taking taylor expansion of (pow i 2) in i 2.116 * [taylor]: Taking taylor expansion of i in i 2.116 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (sqrt 1.0)) in i 2.116 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 2.116 * [taylor]: Taking taylor expansion of 2.0 in i 2.116 * [taylor]: Taking taylor expansion of (/ 1 i) in i 2.116 * [taylor]: Taking taylor expansion of i in i 2.116 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 2.116 * [taylor]: Taking taylor expansion of 1.0 in i 2.116 * [taylor]: Taking taylor expansion of (/ -0.25 (* (- (sqrt 1.0) (* 2.0 (/ 1 i))) (* (pow i 2) (+ (* 2.0 (/ 1 i)) (sqrt 1.0))))) in i 2.116 * [taylor]: Taking taylor expansion of -0.25 in i 2.116 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (* 2.0 (/ 1 i))) (* (pow i 2) (+ (* 2.0 (/ 1 i)) (sqrt 1.0)))) in i 2.116 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (* 2.0 (/ 1 i))) in i 2.116 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 2.116 * [taylor]: Taking taylor expansion of 1.0 in i 2.116 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 2.116 * [taylor]: Taking taylor expansion of 2.0 in i 2.116 * [taylor]: Taking taylor expansion of (/ 1 i) in i 2.116 * [taylor]: Taking taylor expansion of i in i 2.116 * [taylor]: Taking taylor expansion of (* (pow i 2) (+ (* 2.0 (/ 1 i)) (sqrt 1.0))) in i 2.116 * [taylor]: Taking taylor expansion of (pow i 2) in i 2.116 * [taylor]: Taking taylor expansion of i in i 2.116 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (sqrt 1.0)) in i 2.116 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 2.116 * [taylor]: Taking taylor expansion of 2.0 in i 2.116 * [taylor]: Taking taylor expansion of (/ 1 i) in i 2.116 * [taylor]: Taking taylor expansion of i in i 2.116 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 2.116 * [taylor]: Taking taylor expansion of 1.0 in i 2.119 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 2.119 * [approximate]: Taking taylor expansion of (* 0.5 (/ i (+ (* 2.0 i) (sqrt 1.0)))) in (i) around 0 2.119 * [taylor]: Taking taylor expansion of (* 0.5 (/ i (+ (* 2.0 i) (sqrt 1.0)))) in i 2.119 * [taylor]: Taking taylor expansion of 0.5 in i 2.119 * [taylor]: Taking taylor expansion of (/ i (+ (* 2.0 i) (sqrt 1.0))) in i 2.119 * [taylor]: Taking taylor expansion of i in i 2.120 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (sqrt 1.0)) in i 2.120 * [taylor]: Taking taylor expansion of (* 2.0 i) in i 2.120 * [taylor]: Taking taylor expansion of 2.0 in i 2.120 * [taylor]: Taking taylor expansion of i in i 2.120 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 2.120 * [taylor]: Taking taylor expansion of 1.0 in i 2.120 * [taylor]: Taking taylor expansion of (* 0.5 (/ i (+ (* 2.0 i) (sqrt 1.0)))) in i 2.120 * [taylor]: Taking taylor expansion of 0.5 in i 2.120 * [taylor]: Taking taylor expansion of (/ i (+ (* 2.0 i) (sqrt 1.0))) in i 2.120 * [taylor]: Taking taylor expansion of i in i 2.120 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (sqrt 1.0)) in i 2.120 * [taylor]: Taking taylor expansion of (* 2.0 i) in i 2.120 * [taylor]: Taking taylor expansion of 2.0 in i 2.120 * [taylor]: Taking taylor expansion of i in i 2.120 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 2.120 * [taylor]: Taking taylor expansion of 1.0 in i 2.122 * [approximate]: Taking taylor expansion of (/ 0.5 (* (+ (* 2.0 (/ 1 i)) (sqrt 1.0)) i)) in (i) around 0 2.122 * [taylor]: Taking taylor expansion of (/ 0.5 (* (+ (* 2.0 (/ 1 i)) (sqrt 1.0)) i)) in i 2.122 * [taylor]: Taking taylor expansion of 0.5 in i 2.122 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 (/ 1 i)) (sqrt 1.0)) i) in i 2.122 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (sqrt 1.0)) in i 2.122 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 2.122 * [taylor]: Taking taylor expansion of 2.0 in i 2.122 * [taylor]: Taking taylor expansion of (/ 1 i) in i 2.122 * [taylor]: Taking taylor expansion of i in i 2.122 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 2.122 * [taylor]: Taking taylor expansion of 1.0 in i 2.122 * [taylor]: Taking taylor expansion of i in i 2.122 * [taylor]: Taking taylor expansion of (/ 0.5 (* (+ (* 2.0 (/ 1 i)) (sqrt 1.0)) i)) in i 2.122 * [taylor]: Taking taylor expansion of 0.5 in i 2.122 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 (/ 1 i)) (sqrt 1.0)) i) in i 2.122 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (sqrt 1.0)) in i 2.122 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 2.122 * [taylor]: Taking taylor expansion of 2.0 in i 2.122 * [taylor]: Taking taylor expansion of (/ 1 i) in i 2.122 * [taylor]: Taking taylor expansion of i in i 2.122 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 2.122 * [taylor]: Taking taylor expansion of 1.0 in i 2.122 * [taylor]: Taking taylor expansion of i in i 2.123 * [approximate]: Taking taylor expansion of (/ -0.5 (* (- (sqrt 1.0) (* 2.0 (/ 1 i))) i)) in (i) around 0 2.123 * [taylor]: Taking taylor expansion of (/ -0.5 (* (- (sqrt 1.0) (* 2.0 (/ 1 i))) i)) in i 2.123 * [taylor]: Taking taylor expansion of -0.5 in i 2.123 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (* 2.0 (/ 1 i))) i) in i 2.123 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (* 2.0 (/ 1 i))) in i 2.123 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 2.123 * [taylor]: Taking taylor expansion of 1.0 in i 2.123 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 2.123 * [taylor]: Taking taylor expansion of 2.0 in i 2.124 * [taylor]: Taking taylor expansion of (/ 1 i) in i 2.124 * [taylor]: Taking taylor expansion of i in i 2.124 * [taylor]: Taking taylor expansion of i in i 2.124 * [taylor]: Taking taylor expansion of (/ -0.5 (* (- (sqrt 1.0) (* 2.0 (/ 1 i))) i)) in i 2.124 * [taylor]: Taking taylor expansion of -0.5 in i 2.124 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (* 2.0 (/ 1 i))) i) in i 2.124 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (* 2.0 (/ 1 i))) in i 2.124 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 2.124 * [taylor]: Taking taylor expansion of 1.0 in i 2.124 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 2.124 * [taylor]: Taking taylor expansion of 2.0 in i 2.124 * [taylor]: Taking taylor expansion of (/ 1 i) in i 2.124 * [taylor]: Taking taylor expansion of i in i 2.124 * [taylor]: Taking taylor expansion of i in i 2.125 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 2.125 * [approximate]: Taking taylor expansion of (/ i (- (* 2.0 i) (sqrt 1.0))) in (i) around 0 2.125 * [taylor]: Taking taylor expansion of (/ i (- (* 2.0 i) (sqrt 1.0))) in i 2.125 * [taylor]: Taking taylor expansion of i in i 2.125 * [taylor]: Taking taylor expansion of (- (* 2.0 i) (sqrt 1.0)) in i 2.125 * [taylor]: Taking taylor expansion of (* 2.0 i) in i 2.125 * [taylor]: Taking taylor expansion of 2.0 in i 2.125 * [taylor]: Taking taylor expansion of i in i 2.125 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 2.125 * [taylor]: Taking taylor expansion of 1.0 in i 2.125 * [taylor]: Taking taylor expansion of (/ i (- (* 2.0 i) (sqrt 1.0))) in i 2.125 * [taylor]: Taking taylor expansion of i in i 2.125 * [taylor]: Taking taylor expansion of (- (* 2.0 i) (sqrt 1.0)) in i 2.125 * [taylor]: Taking taylor expansion of (* 2.0 i) in i 2.125 * [taylor]: Taking taylor expansion of 2.0 in i 2.126 * [taylor]: Taking taylor expansion of i in i 2.126 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 2.126 * [taylor]: Taking taylor expansion of 1.0 in i 2.127 * [approximate]: Taking taylor expansion of (/ 1 (* (- (* 2.0 (/ 1 i)) (sqrt 1.0)) i)) in (i) around 0 2.127 * [taylor]: Taking taylor expansion of (/ 1 (* (- (* 2.0 (/ 1 i)) (sqrt 1.0)) i)) in i 2.127 * [taylor]: Taking taylor expansion of (* (- (* 2.0 (/ 1 i)) (sqrt 1.0)) i) in i 2.127 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 i)) (sqrt 1.0)) in i 2.127 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 2.127 * [taylor]: Taking taylor expansion of 2.0 in i 2.127 * [taylor]: Taking taylor expansion of (/ 1 i) in i 2.127 * [taylor]: Taking taylor expansion of i in i 2.127 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 2.127 * [taylor]: Taking taylor expansion of 1.0 in i 2.127 * [taylor]: Taking taylor expansion of i in i 2.127 * [taylor]: Taking taylor expansion of (/ 1 (* (- (* 2.0 (/ 1 i)) (sqrt 1.0)) i)) in i 2.127 * [taylor]: Taking taylor expansion of (* (- (* 2.0 (/ 1 i)) (sqrt 1.0)) i) in i 2.127 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 i)) (sqrt 1.0)) in i 2.127 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 2.127 * [taylor]: Taking taylor expansion of 2.0 in i 2.127 * [taylor]: Taking taylor expansion of (/ 1 i) in i 2.127 * [taylor]: Taking taylor expansion of i in i 2.127 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 2.127 * [taylor]: Taking taylor expansion of 1.0 in i 2.128 * [taylor]: Taking taylor expansion of i in i 2.129 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (* 2.0 (/ 1 i)) (sqrt 1.0)) i)) in (i) around 0 2.129 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 2.0 (/ 1 i)) (sqrt 1.0)) i)) in i 2.129 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 (/ 1 i)) (sqrt 1.0)) i) in i 2.129 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (sqrt 1.0)) in i 2.129 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 2.129 * [taylor]: Taking taylor expansion of 2.0 in i 2.129 * [taylor]: Taking taylor expansion of (/ 1 i) in i 2.129 * [taylor]: Taking taylor expansion of i in i 2.129 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 2.129 * [taylor]: Taking taylor expansion of 1.0 in i 2.129 * [taylor]: Taking taylor expansion of i in i 2.129 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 2.0 (/ 1 i)) (sqrt 1.0)) i)) in i 2.129 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 (/ 1 i)) (sqrt 1.0)) i) in i 2.129 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (sqrt 1.0)) in i 2.129 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 2.129 * [taylor]: Taking taylor expansion of 2.0 in i 2.129 * [taylor]: Taking taylor expansion of (/ 1 i) in i 2.129 * [taylor]: Taking taylor expansion of i in i 2.129 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 2.129 * [taylor]: Taking taylor expansion of 1.0 in i 2.129 * [taylor]: Taking taylor expansion of i in i 2.130 * * * [progress]: simplifying candidates 2.134 * [simplify]: Simplifying using # : (* (/ (/ i 2.0) (+ (* 2.0 i) (sqrt 1.0))) (/ (/ i (- (* 2.0 i) (sqrt 1.0))) 2.0)) (+ (- (- (log i) (log 2.0)) (log (+ (* 2.0 i) (sqrt 1.0)))) (- (- (log i) (log (- (* 2.0 i) (sqrt 1.0)))) (log 2.0))) (+ (- (- (log i) (log 2.0)) (log (+ (* 2.0 i) (sqrt 1.0)))) (- (log (/ i (- (* 2.0 i) (sqrt 1.0)))) (log 2.0))) (+ (- (- (log i) (log 2.0)) (log (+ (* 2.0 i) (sqrt 1.0)))) (log (/ (/ i (- (* 2.0 i) (sqrt 1.0))) 2.0))) (+ (- (log (/ i 2.0)) (log (+ (* 2.0 i) (sqrt 1.0)))) (- (- (log i) (log (- (* 2.0 i) (sqrt 1.0)))) (log 2.0))) (+ (- (log (/ i 2.0)) (log (+ (* 2.0 i) (sqrt 1.0)))) (- (log (/ i (- (* 2.0 i) (sqrt 1.0)))) (log 2.0))) (+ (- (log (/ i 2.0)) (log (+ (* 2.0 i) (sqrt 1.0)))) (log (/ (/ i (- (* 2.0 i) (sqrt 1.0))) 2.0))) (+ (log (/ (/ i 2.0) (+ (* 2.0 i) (sqrt 1.0)))) (- (- (log i) (log (- (* 2.0 i) (sqrt 1.0)))) (log 2.0))) (+ (log (/ (/ i 2.0) (+ (* 2.0 i) (sqrt 1.0)))) (- (log (/ i (- (* 2.0 i) (sqrt 1.0)))) (log 2.0))) (+ (log (/ (/ i 2.0) (+ (* 2.0 i) (sqrt 1.0)))) (log (/ (/ i (- (* 2.0 i) (sqrt 1.0))) 2.0))) (log (* (/ (/ i 2.0) (+ (* 2.0 i) (sqrt 1.0))) (/ (/ i (- (* 2.0 i) (sqrt 1.0))) 2.0))) (exp (* (/ (/ i 2.0) (+ (* 2.0 i) (sqrt 1.0))) (/ (/ i (- (* 2.0 i) (sqrt 1.0))) 2.0))) (* (/ (/ (* (* i i) i) (* (* 2.0 2.0) 2.0)) (* (* (+ (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))) (+ (* 2.0 i) (sqrt 1.0)))) (/ (/ (* (* i i) i) (* (* (- (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (- (* 2.0 i) (sqrt 1.0)))) (* (* 2.0 2.0) 2.0))) (* (/ (/ (* (* i i) i) (* (* 2.0 2.0) 2.0)) (* (* (+ (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))) (+ (* 2.0 i) (sqrt 1.0)))) (/ (* (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (- (* 2.0 i) (sqrt 1.0)))) (/ i (- (* 2.0 i) (sqrt 1.0)))) (* (* 2.0 2.0) 2.0))) (* (/ (/ (* (* i i) i) (* (* 2.0 2.0) 2.0)) (* (* (+ (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))) (+ (* 2.0 i) (sqrt 1.0)))) (* (* (/ (/ i (- (* 2.0 i) (sqrt 1.0))) 2.0) (/ (/ i (- (* 2.0 i) (sqrt 1.0))) 2.0)) (/ (/ i (- (* 2.0 i) (sqrt 1.0))) 2.0))) (* (/ (* (* (/ i 2.0) (/ i 2.0)) (/ i 2.0)) (* (* (+ (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))) (+ (* 2.0 i) (sqrt 1.0)))) (/ (/ (* (* i i) i) (* (* (- (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (- (* 2.0 i) (sqrt 1.0)))) (* (* 2.0 2.0) 2.0))) (* (/ (* (* (/ i 2.0) (/ i 2.0)) (/ i 2.0)) (* (* (+ (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))) (+ (* 2.0 i) (sqrt 1.0)))) (/ (* (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (- (* 2.0 i) (sqrt 1.0)))) (/ i (- (* 2.0 i) (sqrt 1.0)))) (* (* 2.0 2.0) 2.0))) 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(pow i 2))) 0.5)) (+ (* 0.25 (/ (sqrt 1.0) i)) (+ (* 0.125 (/ (pow (sqrt 1.0) 2) (pow i 2))) 0.5)) 2.152 * * [simplify]: iteration 0 : 431 enodes (cost 5884 ) 2.232 * * [simplify]: iteration 1 : 1410 enodes (cost 5722 ) 2.505 * * [simplify]: iteration done : 5000 enodes (cost 5622 ) 2.508 * [simplify]: Simplified to: (/ (/ (* (/ i 2.0) i) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0) (+ (- (- (log i) (log 2.0)) (log (+ (* 2.0 i) (sqrt 1.0)))) (- (- (log i) (log (- (* 2.0 i) (sqrt 1.0)))) (log 2.0))) (+ (- (- (log i) (log 2.0)) (log (+ (* 2.0 i) (sqrt 1.0)))) (log (/ (/ i (- (* 2.0 i) (sqrt 1.0))) 2.0))) (+ (- (- (log i) (log 2.0)) (log (+ (* 2.0 i) (sqrt 1.0)))) (log (/ (/ i (- (* 2.0 i) (sqrt 1.0))) 2.0))) (+ (- (log (/ i 2.0)) (log (+ (* 2.0 i) (sqrt 1.0)))) (- (- (log i) (log (- (* 2.0 i) (sqrt 1.0)))) (log 2.0))) (+ (log (/ (/ i (- (* 2.0 i) (sqrt 1.0))) 2.0)) (- (log (/ i 2.0)) (log (+ (* 2.0 i) (sqrt 1.0))))) (+ (log (/ (/ i (- (* 2.0 i) (sqrt 1.0))) 2.0)) (- (log (/ i 2.0)) (log (+ (* 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2.0 i) (sqrt 1.0))) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (+ (* 2.0 i) (sqrt 1.0))) (cbrt (+ (* 2.0 i) (sqrt 1.0))))) (/ (/ i (cbrt 2.0)) (cbrt (+ (* 2.0 i) (sqrt 1.0)))) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt (+ (* 2.0 i) (sqrt 1.0)))) (/ (/ i (cbrt 2.0)) (sqrt (+ (* 2.0 i) (sqrt 1.0)))) (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (/ (/ i (cbrt 2.0)) (+ (* 2.0 i) (sqrt 1.0))) (/ (/ 1 (sqrt 2.0)) (* (cbrt (+ (* 2.0 i) (sqrt 1.0))) (cbrt (+ (* 2.0 i) (sqrt 1.0))))) (/ (/ i (sqrt 2.0)) (cbrt (+ (* 2.0 i) (sqrt 1.0)))) (/ (/ 1 (sqrt 2.0)) (sqrt (+ (* 2.0 i) (sqrt 1.0)))) (/ (/ i (sqrt 2.0)) (sqrt (+ (* 2.0 i) (sqrt 1.0)))) (/ 1 (sqrt 2.0)) (/ (/ i (sqrt 2.0)) (+ (* 2.0 i) (sqrt 1.0))) (/ 1 (* (cbrt (+ (* 2.0 i) (sqrt 1.0))) (cbrt (+ (* 2.0 i) (sqrt 1.0))))) (/ (/ i 2.0) (cbrt (+ (* 2.0 i) (sqrt 1.0)))) (/ 1 (sqrt (+ (* 2.0 i) (sqrt 1.0)))) (/ (/ i 2.0) (sqrt (+ (* 2.0 i) (sqrt 1.0)))) 1 (/ (/ i 2.0) (+ (* 2.0 i) (sqrt 1.0))) (/ 1 (* (cbrt (+ (* 2.0 i) (sqrt 1.0))) (cbrt (+ (* 2.0 i) (sqrt 1.0))))) (/ (/ i 2.0) (cbrt (+ (* 2.0 i) (sqrt 1.0)))) (/ 1 (sqrt (+ (* 2.0 i) (sqrt 1.0)))) (/ (/ i 2.0) (sqrt (+ (* 2.0 i) (sqrt 1.0)))) 1 (/ (/ i 2.0) (+ (* 2.0 i) (sqrt 1.0))) (/ i (* (cbrt (+ (* 2.0 i) (sqrt 1.0))) (cbrt (+ (* 2.0 i) (sqrt 1.0))))) (/ (/ 1 2.0) (cbrt (+ (* 2.0 i) (sqrt 1.0)))) (/ i (sqrt (+ (* 2.0 i) (sqrt 1.0)))) (/ (/ 1 2.0) (sqrt (+ (* 2.0 i) (sqrt 1.0)))) i (/ (/ 1 2.0) (+ (* 2.0 i) (sqrt 1.0))) (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (/ (+ (* 2.0 i) (sqrt 1.0)) (/ i 2.0)) (/ (/ i 2.0) (* (cbrt (+ (* 2.0 i) (sqrt 1.0))) (cbrt (+ (* 2.0 i) (sqrt 1.0))))) (/ (/ i 2.0) (sqrt (+ (* 2.0 i) (sqrt 1.0)))) (/ i 2.0) (/ (+ (* 2.0 i) (sqrt 1.0)) (cbrt (/ i 2.0))) (/ (+ (* 2.0 i) (sqrt 1.0)) (sqrt (/ i 2.0))) (/ (+ (* 2.0 i) (sqrt 1.0)) (/ (cbrt i) (cbrt 2.0))) (/ (+ (* 2.0 i) (sqrt 1.0)) (/ (cbrt i) (sqrt 2.0))) (/ (+ (* 2.0 i) (sqrt 1.0)) (/ (cbrt i) 2.0)) (/ (+ (* 2.0 i) (sqrt 1.0)) (/ (sqrt i) (cbrt 2.0))) (/ (+ (* 2.0 i) (sqrt 1.0)) (/ (sqrt i) (sqrt 2.0))) (/ (+ (* 2.0 i) (sqrt 1.0)) (/ (sqrt i) 2.0)) (/ (+ (* 2.0 i) (sqrt 1.0)) (/ i (cbrt 2.0))) (/ (+ (* 2.0 i) (sqrt 1.0)) (/ i (sqrt 2.0))) (/ (+ (* 2.0 i) (sqrt 1.0)) (/ i 2.0)) (/ (+ (* 2.0 i) (sqrt 1.0)) (/ i 2.0)) (/ (+ (* 2.0 i) (sqrt 1.0)) (/ 1 2.0)) (/ (/ i 2.0) (+ (pow (* 2.0 i) 3) (pow (sqrt 1.0) 3))) (/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (* (+ (* 2.0 i) (sqrt 1.0)) 2.0) (- (log i) (log (- (* 2.0 i) (sqrt 1.0)))) (log (/ i (- (* 2.0 i) (sqrt 1.0)))) (exp (/ i (- (* 2.0 i) (sqrt 1.0)))) (/ (pow i 3) (* (* (- (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (- (* 2.0 i) (sqrt 1.0)))) (* (cbrt (/ i (- (* 2.0 i) (sqrt 1.0)))) (cbrt (/ i (- (* 2.0 i) (sqrt 1.0))))) (cbrt (/ i (- (* 2.0 i) (sqrt 1.0)))) (* (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (- (* 2.0 i) (sqrt 1.0)))) (/ i (- (* 2.0 i) (sqrt 1.0)))) (sqrt (/ i (- (* 2.0 i) (sqrt 1.0)))) (sqrt (/ i (- (* 2.0 i) (sqrt 1.0)))) (neg i) (neg (- (* 2.0 i) (sqrt 1.0))) (/ (* (cbrt i) (cbrt i)) (* (cbrt (- (* 2.0 i) (sqrt 1.0))) (cbrt (- (* 2.0 i) (sqrt 1.0))))) (/ (cbrt i) (cbrt (- (* 2.0 i) (sqrt 1.0)))) (/ (* (cbrt i) (cbrt i)) (sqrt (- (* 2.0 i) (sqrt 1.0)))) (/ (cbrt i) (sqrt (- (* 2.0 i) (sqrt 1.0)))) (* (cbrt i) (cbrt i)) (/ (cbrt i) (- (* 2.0 i) (sqrt 1.0))) (/ (sqrt i) (* (cbrt (- (* 2.0 i) (sqrt 1.0))) (cbrt (- (* 2.0 i) (sqrt 1.0))))) (/ (sqrt i) (cbrt (- (* 2.0 i) (sqrt 1.0)))) (/ (sqrt i) (sqrt (- (* 2.0 i) (sqrt 1.0)))) (/ (sqrt i) (sqrt (- (* 2.0 i) (sqrt 1.0)))) (sqrt i) (/ (sqrt i) (- (* 2.0 i) (sqrt 1.0))) (/ 1 (* (cbrt (- (* 2.0 i) (sqrt 1.0))) (cbrt (- (* 2.0 i) (sqrt 1.0))))) (/ i (cbrt (- (* 2.0 i) (sqrt 1.0)))) (/ 1 (sqrt (- (* 2.0 i) (sqrt 1.0)))) (/ i (sqrt (- (* 2.0 i) (sqrt 1.0)))) 1 (/ i (- (* 2.0 i) (sqrt 1.0))) (/ 1 (- (* 2.0 i) (sqrt 1.0))) (/ (- (* 2.0 i) (sqrt 1.0)) i) (/ i (* (cbrt (- (* 2.0 i) (sqrt 1.0))) (cbrt (- (* 2.0 i) (sqrt 1.0))))) (/ i (sqrt (- (* 2.0 i) (sqrt 1.0)))) i (/ (- (* 2.0 i) (sqrt 1.0)) (cbrt i)) (/ (- (* 2.0 i) (sqrt 1.0)) (sqrt i)) (/ (- (* 2.0 i) (sqrt 1.0)) i) (/ i (- (pow (* 2.0 i) 3) (pow (sqrt 1.0) 3))) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (neg (+ (+ (* 1.0 (/ (pow i 4) (pow (sqrt 1.0) 4))) (* (/ (pow i 2) 1.0) 0.25)) (* 4.0 (/ (pow i 6) (pow (sqrt 1.0) 6))))) (+ (+ (* 0.00390625 (/ (pow (sqrt 1.0) 4) (pow i 4))) 0.0625) (* 0.015625 (/ 1.0 (pow i 2)))) (+ (+ (* 0.00390625 (/ (pow (sqrt 1.0) 4) (pow i 4))) 0.0625) (* 0.015625 (/ 1.0 (pow i 2)))) (- (+ (* 0.5 (/ i (sqrt 1.0))) (* 2.0 (/ (pow i 3) (pow (sqrt 1.0) 3)))) (* 1.0 (/ (pow i 2) 1.0))) (+ (* (/ 1.0 (pow i 2)) 0.0625) (- 0.25 (* 0.125 (/ (sqrt 1.0) i)))) (+ (* (/ 1.0 (pow i 2)) 0.0625) (- 0.25 (* 0.125 (/ (sqrt 1.0) i)))) (neg (+ (+ (/ i (sqrt 1.0)) (* (/ (pow i 2) 1.0) 2.0)) (* 4.0 (/ (pow i 3) (pow (sqrt 1.0) 3))))) (+ (+ (* 0.25 (/ (sqrt 1.0) i)) (* (/ 1.0 (pow i 2)) 0.125)) 0.5) (+ (+ (* 0.25 (/ (sqrt 1.0) i)) (* (/ 1.0 (pow i 2)) 0.125)) 0.5) 2.510 * * * [progress]: adding candidates to table 3.367 * * [progress]: iteration 3 / 4 3.368 * * * [progress]: picking best candidate 3.369 * * * * [pick]: Picked # 3.370 * * * [progress]: localizing error 3.378 * * * [progress]: generating rewritten candidates 3.378 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 3.393 * * * [progress]: generating series expansions 3.393 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 3.393 * [approximate]: Taking taylor expansion of (* 0.5 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in (i) around 0 3.393 * [taylor]: Taking taylor expansion of (* 0.5 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in i 3.393 * [taylor]: Taking taylor expansion of 0.5 in i 3.393 * [taylor]: Taking taylor expansion of (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0)) in i 3.393 * [taylor]: Taking taylor expansion of (pow i 2) in i 3.393 * [taylor]: Taking taylor expansion of i in i 3.393 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 3.393 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 3.393 * [taylor]: Taking taylor expansion of 4.0 in i 3.393 * [taylor]: Taking taylor expansion of (pow i 2) in i 3.393 * [taylor]: Taking taylor expansion of i in i 3.393 * [taylor]: Taking taylor expansion of 1.0 in i 3.393 * [taylor]: Taking taylor expansion of (* 0.5 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in i 3.393 * [taylor]: Taking taylor expansion of 0.5 in i 3.393 * [taylor]: Taking taylor expansion of (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0)) in i 3.393 * [taylor]: Taking taylor expansion of (pow i 2) in i 3.393 * [taylor]: Taking taylor expansion of i in i 3.394 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 3.394 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 3.394 * [taylor]: Taking taylor expansion of 4.0 in i 3.394 * [taylor]: Taking taylor expansion of (pow i 2) in i 3.394 * [taylor]: Taking taylor expansion of i in i 3.394 * [taylor]: Taking taylor expansion of 1.0 in i 3.395 * [approximate]: Taking taylor expansion of (/ 0.5 (* (- (* 4.0 (/ 1 (pow i 2))) 1.0) (pow i 2))) in (i) around 0 3.395 * [taylor]: Taking taylor expansion of (/ 0.5 (* (- (* 4.0 (/ 1 (pow i 2))) 1.0) (pow i 2))) in i 3.395 * [taylor]: Taking taylor expansion of 0.5 in i 3.395 * [taylor]: Taking taylor expansion of (* (- (* 4.0 (/ 1 (pow i 2))) 1.0) (pow i 2)) in i 3.395 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 3.395 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 3.395 * [taylor]: Taking taylor expansion of 4.0 in i 3.395 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 3.395 * [taylor]: Taking taylor expansion of (pow i 2) in i 3.395 * [taylor]: Taking taylor expansion of i in i 3.395 * [taylor]: Taking taylor expansion of 1.0 in i 3.395 * [taylor]: Taking taylor expansion of (pow i 2) in i 3.395 * [taylor]: Taking taylor expansion of i in i 3.395 * [taylor]: Taking taylor expansion of (/ 0.5 (* (- (* 4.0 (/ 1 (pow i 2))) 1.0) (pow i 2))) in i 3.395 * [taylor]: Taking taylor expansion of 0.5 in i 3.395 * [taylor]: Taking taylor expansion of (* (- (* 4.0 (/ 1 (pow i 2))) 1.0) (pow i 2)) in i 3.395 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 3.395 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 3.395 * [taylor]: Taking taylor expansion of 4.0 in i 3.395 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 3.395 * [taylor]: Taking taylor expansion of (pow i 2) in i 3.395 * [taylor]: Taking taylor expansion of i in i 3.395 * [taylor]: Taking taylor expansion of 1.0 in i 3.396 * [taylor]: Taking taylor expansion of (pow i 2) in i 3.396 * [taylor]: Taking taylor expansion of i in i 3.397 * [approximate]: Taking taylor expansion of (/ 0.5 (* (- (* 4.0 (/ 1 (pow i 2))) 1.0) (pow i 2))) in (i) around 0 3.397 * [taylor]: Taking taylor expansion of (/ 0.5 (* (- (* 4.0 (/ 1 (pow i 2))) 1.0) (pow i 2))) in i 3.397 * [taylor]: Taking taylor expansion of 0.5 in i 3.397 * [taylor]: Taking taylor expansion of (* (- (* 4.0 (/ 1 (pow i 2))) 1.0) (pow i 2)) in i 3.397 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 3.397 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 3.397 * [taylor]: Taking taylor expansion of 4.0 in i 3.397 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 3.397 * [taylor]: Taking taylor expansion of (pow i 2) in i 3.397 * [taylor]: Taking taylor expansion of i in i 3.397 * [taylor]: Taking taylor expansion of 1.0 in i 3.397 * [taylor]: Taking taylor expansion of (pow i 2) in i 3.397 * [taylor]: Taking taylor expansion of i in i 3.397 * [taylor]: Taking taylor expansion of (/ 0.5 (* (- (* 4.0 (/ 1 (pow i 2))) 1.0) (pow i 2))) in i 3.397 * [taylor]: Taking taylor expansion of 0.5 in i 3.397 * [taylor]: Taking taylor expansion of (* (- (* 4.0 (/ 1 (pow i 2))) 1.0) (pow i 2)) in i 3.398 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 3.398 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 3.398 * [taylor]: Taking taylor expansion of 4.0 in i 3.398 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 3.398 * [taylor]: Taking taylor expansion of (pow i 2) in i 3.398 * [taylor]: Taking taylor expansion of i in i 3.398 * [taylor]: Taking taylor expansion of 1.0 in i 3.398 * [taylor]: Taking taylor expansion of (pow i 2) in i 3.398 * [taylor]: Taking taylor expansion of i in i 3.399 * * * [progress]: simplifying candidates 3.400 * [simplify]: Simplifying using # : (- (+ (- (log i) (log 2.0)) (log i)) (log (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (- (+ (log (/ i 2.0)) (log i)) (log (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (- (log (* (/ i 2.0) i)) (log (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (log (/ (* (/ i 2.0) i) (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (exp (/ (* (/ i 2.0) i) (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (* (/ (* (* i i) i) (* (* 2.0 2.0) 2.0)) (* (* i i) i)) (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (* (* (* (/ i 2.0) (/ i 2.0)) (/ i 2.0)) (* (* i i) i)) (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (* (* (* (/ i 2.0) i) (* (/ i 2.0) i)) (* (/ i 2.0) i)) (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (* (cbrt (/ (* (/ i 2.0) i) (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (cbrt (/ (* (/ i 2.0) i) (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (cbrt (/ (* (/ i 2.0) i) (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (* (* (/ (* (/ i 2.0) i) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (* (/ i 2.0) i) (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (* (/ i 2.0) i) (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt (/ (* (/ i 2.0) i) (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt (/ (* (/ i 2.0) i) (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (neg (* (/ i 2.0) i)) (neg (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (/ i 2.0) (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (/ i (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (/ i 2.0) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (/ i 2.0) 1) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (/ i 2.0) (+ (* 2.0 i) (sqrt 1.0))) (/ i (- (* 2.0 i) (sqrt 1.0))) (/ 1 (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* (/ i 2.0) i)) (/ (* (/ i 2.0) i) (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (/ (* (/ i 2.0) i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (* (/ i 2.0) i) 1) (/ (* (/ i 2.0) i) (+ (* 2.0 i) (sqrt 1.0))) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) i) (/ (* (/ i 2.0) i) (- (pow (* (* 2.0 i) (* 2.0 i)) 3) (pow 1.0 3))) (/ (* (/ i 2.0) i) (- (* (* (* 2.0 i) (* 2.0 i)) (* (* 2.0 i) (* 2.0 i))) (* 1.0 1.0))) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) 2.0) (neg (+ (* 2.0 (pow i 4)) (+ (* 8.0 (pow i 6)) (* 0.5 (pow i 2))))) (+ (* 0.0078125 (/ 1 (pow i 4))) (+ (* 0.03125 (/ 1 (pow i 2))) 0.125)) (+ (* 0.0078125 (/ 1 (pow i 4))) (+ (* 0.03125 (/ 1 (pow i 2))) 0.125)) 3.402 * * [simplify]: iteration 0 : 100 enodes (cost 674 ) 3.417 * * [simplify]: iteration 1 : 280 enodes (cost 669 ) 3.474 * * [simplify]: iteration 2 : 1261 enodes (cost 543 ) 4.069 * * [simplify]: iteration done : 5000 enodes (cost 526 ) 4.069 * [simplify]: Simplified to: (log (/ (* (/ i 2.0) i) (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (log (/ (* (/ i 2.0) i) (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (log (/ (* (/ i 2.0) i) (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (log (/ (* (/ i 2.0) i) (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (exp (/ (* (/ i 2.0) i) (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (pow (/ (* (/ i 2.0) i) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 3) (pow (/ (* (/ i 2.0) i) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 3) (pow (/ (* (/ i 2.0) i) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 3) (* (cbrt (/ (* (/ i 2.0) i) (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (cbrt (/ (* (/ i 2.0) i) (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (cbrt (/ (* (/ i 2.0) i) (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (pow (/ (* (/ i 2.0) i) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 3) (sqrt (/ (* (/ i 2.0) i) (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt (/ (* (/ i 2.0) i) (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (neg (* (/ i 2.0) i)) (neg (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (/ i 2.0) (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (/ i (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (/ i 2.0) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i 2.0) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (/ i 2.0) (+ (* 2.0 i) (sqrt 1.0))) (/ i (- (* 2.0 i) (sqrt 1.0))) (/ 1 (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* (/ i 2.0) i)) (/ (* (/ i 2.0) i) (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (/ (* (/ i 2.0) i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (* (/ i 2.0) i) (/ (* (/ i 2.0) i) (+ (* 2.0 i) (sqrt 1.0))) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) i) (/ (* (/ i 2.0) i) (- (pow (* 2.0 i) 6) (pow 1.0 3))) (/ (* (/ i 2.0) i) (- (* (pow (* 2.0 i) 3) (* 2.0 i)) (* 1.0 1.0))) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) 2.0) (neg (+ (* 2.0 (pow i 4)) (+ (* 8.0 (pow i 6)) (* 0.5 (pow i 2))))) (+ 0.125 (+ (/ 0.03125 (pow i 2)) (/ 0.0078125 (pow i 4)))) (+ 0.125 (+ (/ 0.03125 (pow i 2)) (/ 0.0078125 (pow i 4)))) 4.070 * * * [progress]: adding candidates to table 4.110 * [progress]: [Phase 3 of 3] Extracting. 4.110 * * [regime]: Finding splitpoints for: (# #) 4.111 * * * [regime-changes]: Trying 1 branch expressions: (i) 4.111 * * * * [regimes]: Trying to branch on i from (# #) 4.138 * * * [regime]: Found split indices: #