11.043 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 0.020 * * [simplify]: iteration 0 : 31 enodes (cost 12 ) 0.021 * * [simplify]: iteration 1 : 168 enodes (cost 11 ) 0.025 * * [simplify]: iteration 2 : 965 enodes (cost 9 ) 0.047 * * [simplify]: iteration 3 : 5001 enodes (cost 8 ) 0.047 * [simplify]: Simplified to: (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) 0.050 * * [progress]: iteration 1 / 4 0.050 * * * [progress]: picking best candidate 0.051 * * * * [pick]: Picked # 0.052 * * * [progress]: localizing error 0.063 * * * [progress]: generating rewritten candidates 0.063 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.083 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 0.094 * * * [progress]: generating series expansions 0.094 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.095 * [approximate]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in (i) around 0 0.095 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in i 0.095 * [taylor]: Taking taylor expansion of 0.25 in i 0.095 * [taylor]: Taking taylor expansion of (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0)) in i 0.095 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.095 * [taylor]: Taking taylor expansion of i in i 0.095 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.095 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.095 * [taylor]: Taking taylor expansion of 4.0 in i 0.095 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.095 * [taylor]: Taking taylor expansion of i in i 0.095 * [taylor]: Taking taylor expansion of 1.0 in i 0.097 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in i 0.097 * [taylor]: Taking taylor expansion of 0.25 in i 0.097 * [taylor]: Taking taylor expansion of (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0)) in i 0.097 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.097 * [taylor]: Taking taylor expansion of i in i 0.097 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.097 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.097 * [taylor]: Taking taylor expansion of 4.0 in i 0.097 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.097 * [taylor]: Taking taylor expansion of i in i 0.097 * [taylor]: Taking taylor expansion of 1.0 in i 0.118 * [approximate]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.118 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.118 * [taylor]: Taking taylor expansion of 0.25 in i 0.118 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.118 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.118 * [taylor]: Taking taylor expansion of i in i 0.118 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.118 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.118 * [taylor]: Taking taylor expansion of 4.0 in i 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.118 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.118 * [taylor]: Taking taylor expansion of i in i 0.119 * [taylor]: Taking taylor expansion of 1.0 in i 0.120 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.120 * [taylor]: Taking taylor expansion of 0.25 in i 0.120 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.120 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.120 * [taylor]: Taking taylor expansion of i in i 0.120 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.120 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.120 * [taylor]: Taking taylor expansion of 4.0 in i 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.120 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.120 * [taylor]: Taking taylor expansion of i in i 0.120 * [taylor]: Taking taylor expansion of 1.0 in i 0.145 * [approximate]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.145 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.145 * [taylor]: Taking taylor expansion of 0.25 in i 0.145 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.145 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.145 * [taylor]: Taking taylor expansion of i in i 0.145 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.145 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.145 * [taylor]: Taking taylor expansion of 4.0 in i 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.145 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.145 * [taylor]: Taking taylor expansion of i in i 0.145 * [taylor]: Taking taylor expansion of 1.0 in i 0.147 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.147 * [taylor]: Taking taylor expansion of 0.25 in i 0.147 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.147 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.147 * [taylor]: Taking taylor expansion of i in i 0.147 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.147 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.147 * [taylor]: Taking taylor expansion of 4.0 in i 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.147 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.147 * [taylor]: Taking taylor expansion of i in i 0.147 * [taylor]: Taking taylor expansion of 1.0 in i 0.168 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 0.168 * [approximate]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in (i) around 0 0.168 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.168 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.168 * [taylor]: Taking taylor expansion of 4.0 in i 0.168 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.168 * [taylor]: Taking taylor expansion of i in i 0.168 * [taylor]: Taking taylor expansion of 1.0 in i 0.168 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.168 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.168 * [taylor]: Taking taylor expansion of 4.0 in i 0.168 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.168 * [taylor]: Taking taylor expansion of i in i 0.168 * [taylor]: Taking taylor expansion of 1.0 in i 0.181 * [approximate]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in (i) around 0 0.181 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.181 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.181 * [taylor]: Taking taylor expansion of 4.0 in i 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.181 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.181 * [taylor]: Taking taylor expansion of i in i 0.182 * [taylor]: Taking taylor expansion of 1.0 in i 0.182 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.182 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.182 * [taylor]: Taking taylor expansion of 4.0 in i 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.182 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.182 * [taylor]: Taking taylor expansion of i in i 0.182 * [taylor]: Taking taylor expansion of 1.0 in i 0.200 * [approximate]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in (i) around 0 0.200 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.200 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.200 * [taylor]: Taking taylor expansion of 4.0 in i 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.200 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.200 * [taylor]: Taking taylor expansion of i in i 0.201 * [taylor]: Taking taylor expansion of 1.0 in i 0.201 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.201 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.201 * [taylor]: Taking taylor expansion of 4.0 in i 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.201 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.201 * [taylor]: Taking taylor expansion of i in i 0.201 * [taylor]: Taking taylor expansion of 1.0 in i 0.222 * * * [progress]: simplifying candidates 0.222 * [simplify]: Simplifying using # : (- (+ (log i) (log i)) (+ (log (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (+ (log 2.0) (log 2.0)))) (- (+ (log i) (log i)) (+ (log (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (log (* 2.0 2.0)))) (- (+ (log i) (log i)) (log (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (- (log (* i i)) (+ (log (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (+ (log 2.0) (log 2.0)))) (- (log (* i i)) (+ (log (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (log (* 2.0 2.0)))) (- (log (* i i)) (log (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (log (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (exp (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (/ (* (* (* i i) i) (* (* 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) (* (* 2.0 2.0) 2.0)))) (/ (* (* (* i i) i) (* (* 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 2.0)) (* 2.0 2.0)))) (/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (/ (* (* (* i i) (* i 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) (* (* 2.0 2.0) 2.0)))) (/ (* (* (* i i) (* i 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 2.0)) (* 2.0 2.0)))) (/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (* (cbrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (cbrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))))) (cbrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (* (* (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (sqrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (sqrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (- (* i i)) (- (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)) (/ 1 (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (* i i)) (/ (* i i) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i) (/ (* i i) (* (- (pow (* (* 2.0 i) (* 2.0 i)) 3) (pow 1.0 3)) (* 2.0 2.0))) (/ (* i i) (* (- (* (* (* 2.0 i) (* 2.0 i)) (* (* 2.0 i) (* 2.0 i))) (* 1.0 1.0)) (* 2.0 2.0))) (/ (exp (* (* 2.0 i) (* 2.0 i))) (exp 1.0)) (log (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (exp (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (cbrt (- (* (* 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 i) (* 2.0 i)) 1.0)) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (- (pow (* (* 2.0 i) (* 2.0 i)) 3) (pow 1.0 3)) (+ (* (* (* 2.0 i) (* 2.0 i)) (* (* 2.0 i) (* 2.0 i))) (+ (* 1.0 1.0) (* (* (* 2.0 i) (* 2.0 i)) 1.0))) (- 1.0) (- (* (* (* 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 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)) (- 1.0) (- (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) (+ (* 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)) (- (* 4.0 (pow i 2)) 1.0) (- (* 4.0 (pow i 2)) 1.0) (- (* 4.0 (pow i 2)) 1.0) 0.227 * * [simplify]: iteration 0 : 342 enodes (cost 496 ) 0.233 * * [simplify]: iteration 1 : 1633 enodes (cost 364 ) 0.261 * * [simplify]: iteration 2 : 5001 enodes (cost 364 ) 0.263 * [simplify]: Simplified to: (log (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (log (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (log (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (log (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (log (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (log (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (log (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (exp (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (pow (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) 3) (pow (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) 3) (pow (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) 3) (pow (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) 3) (pow (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) 3) (pow (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) 3) (* (cbrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (cbrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))))) (cbrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (pow (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) 3) (sqrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (sqrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (- (* i i)) (- (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)) (/ 1 (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (* i i)) (/ (* i i) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i) (/ (* i i) (* (- (pow (* (* 2.0 i) (* 2.0 i)) 3) (pow 1.0 3)) (* 2.0 2.0))) (/ (* i i) (* (- (* (* (* 2.0 i) (* 2.0 i)) (* (* 2.0 i) (* 2.0 i))) (* 1.0 1.0)) (* 2.0 2.0))) (exp (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (log (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (exp (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (pow (- (* (* 2.0 i) (* 2.0 i)) 1.0) 3) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (+ (- (pow 1.0 3)) (pow (* 2.0 i) 6)) (+ (+ (* (* (* 2.0 2.0) (* 2.0 2.0)) (pow i 4)) (* (* (* 2.0 i) (* 2.0 i)) 1.0)) (* 1.0 1.0)) (- 1.0) (+ (- (* 1.0 1.0)) (* (* (pow (* 2.0 i) 3) i) 2.0)) (+ (* (* 2.0 i) (* 2.0 i)) 1.0) (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)) (- 1.0) (- (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) (+ (* 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)) (- (* 4.0 (pow i 2)) 1.0) (- (* 4.0 (pow i 2)) 1.0) (- (* 4.0 (pow i 2)) 1.0) 0.263 * * * [progress]: adding candidates to table 0.331 * * [progress]: iteration 2 / 4 0.331 * * * [progress]: picking best candidate 0.334 * * * * [pick]: Picked # 0.334 * * * [progress]: localizing error 0.344 * * * [progress]: generating rewritten candidates 0.344 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.381 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 0.407 * * * [progress]: generating series expansions 0.407 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.408 * [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 0.408 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (* (- (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))))) in i 0.408 * [taylor]: Taking taylor expansion of 0.25 in i 0.408 * [taylor]: Taking taylor expansion of (/ (pow i 2) (* (- (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0)))) in i 0.408 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.408 * [taylor]: Taking taylor expansion of i in i 0.408 * [taylor]: Taking taylor expansion of (* (- (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))) in i 0.408 * [taylor]: Taking taylor expansion of (- (* 2.0 i) (sqrt 1.0)) in i 0.408 * [taylor]: Taking taylor expansion of (* 2.0 i) in i 0.408 * [taylor]: Taking taylor expansion of 2.0 in i 0.408 * [taylor]: Taking taylor expansion of i in i 0.408 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.408 * [taylor]: Taking taylor expansion of 1.0 in i 0.409 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (sqrt 1.0)) in i 0.409 * [taylor]: Taking taylor expansion of (* 2.0 i) in i 0.409 * [taylor]: Taking taylor expansion of 2.0 in i 0.409 * [taylor]: Taking taylor expansion of i in i 0.409 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.409 * [taylor]: Taking taylor expansion of 1.0 in i 0.415 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (* (- (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))))) in i 0.415 * [taylor]: Taking taylor expansion of 0.25 in i 0.415 * [taylor]: Taking taylor expansion of (/ (pow i 2) (* (- (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0)))) in i 0.415 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.415 * [taylor]: Taking taylor expansion of i in i 0.415 * [taylor]: Taking taylor expansion of (* (- (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))) in i 0.415 * [taylor]: Taking taylor expansion of (- (* 2.0 i) (sqrt 1.0)) in i 0.415 * [taylor]: Taking taylor expansion of (* 2.0 i) in i 0.415 * [taylor]: Taking taylor expansion of 2.0 in i 0.415 * [taylor]: Taking taylor expansion of i in i 0.415 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.415 * [taylor]: Taking taylor expansion of 1.0 in i 0.416 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (sqrt 1.0)) in i 0.416 * [taylor]: Taking taylor expansion of (* 2.0 i) in i 0.416 * [taylor]: Taking taylor expansion of 2.0 in i 0.416 * [taylor]: Taking taylor expansion of i in i 0.416 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.416 * [taylor]: Taking taylor expansion of 1.0 in i 0.488 * [approximate]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (* (+ (sqrt 1.0) (* 2.0 (/ 1 i))) (- (* 2.0 (/ 1 i)) (sqrt 1.0))))) in (i) around 0 0.488 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (* (+ (sqrt 1.0) (* 2.0 (/ 1 i))) (- (* 2.0 (/ 1 i)) (sqrt 1.0))))) in i 0.488 * [taylor]: Taking taylor expansion of 0.25 in i 0.488 * [taylor]: Taking taylor expansion of (* (pow i 2) (* (+ (sqrt 1.0) (* 2.0 (/ 1 i))) (- (* 2.0 (/ 1 i)) (sqrt 1.0)))) in i 0.488 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.488 * [taylor]: Taking taylor expansion of i in i 0.488 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (* 2.0 (/ 1 i))) (- (* 2.0 (/ 1 i)) (sqrt 1.0))) in i 0.488 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (* 2.0 (/ 1 i))) in i 0.488 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.488 * [taylor]: Taking taylor expansion of 1.0 in i 0.489 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 0.489 * [taylor]: Taking taylor expansion of 2.0 in i 0.489 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.489 * [taylor]: Taking taylor expansion of i in i 0.489 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 i)) (sqrt 1.0)) in i 0.489 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 0.489 * [taylor]: Taking taylor expansion of 2.0 in i 0.489 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.489 * [taylor]: Taking taylor expansion of i in i 0.490 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.490 * [taylor]: Taking taylor expansion of 1.0 in i 0.492 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (* (+ (sqrt 1.0) (* 2.0 (/ 1 i))) (- (* 2.0 (/ 1 i)) (sqrt 1.0))))) in i 0.492 * [taylor]: Taking taylor expansion of 0.25 in i 0.492 * [taylor]: Taking taylor expansion of (* (pow i 2) (* (+ (sqrt 1.0) (* 2.0 (/ 1 i))) (- (* 2.0 (/ 1 i)) (sqrt 1.0)))) in i 0.492 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.492 * [taylor]: Taking taylor expansion of i in i 0.492 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (* 2.0 (/ 1 i))) (- (* 2.0 (/ 1 i)) (sqrt 1.0))) in i 0.492 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (* 2.0 (/ 1 i))) in i 0.492 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.492 * [taylor]: Taking taylor expansion of 1.0 in i 0.493 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 0.493 * [taylor]: Taking taylor expansion of 2.0 in i 0.493 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.493 * [taylor]: Taking taylor expansion of i in i 0.493 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 i)) (sqrt 1.0)) in i 0.493 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 0.493 * [taylor]: Taking taylor expansion of 2.0 in i 0.493 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.493 * [taylor]: Taking taylor expansion of i in i 0.494 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.494 * [taylor]: Taking taylor expansion of 1.0 in i 0.543 * [approximate]: Taking taylor expansion of (/ -0.25 (* (pow i 2) (* (- (sqrt 1.0) (* 2.0 (/ 1 i))) (+ (sqrt 1.0) (* 2.0 (/ 1 i)))))) in (i) around 0 0.544 * [taylor]: Taking taylor expansion of (/ -0.25 (* (pow i 2) (* (- (sqrt 1.0) (* 2.0 (/ 1 i))) (+ (sqrt 1.0) (* 2.0 (/ 1 i)))))) in i 0.544 * [taylor]: Taking taylor expansion of -0.25 in i 0.544 * [taylor]: Taking taylor expansion of (* (pow i 2) (* (- (sqrt 1.0) (* 2.0 (/ 1 i))) (+ (sqrt 1.0) (* 2.0 (/ 1 i))))) in i 0.544 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.544 * [taylor]: Taking taylor expansion of i in i 0.544 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (* 2.0 (/ 1 i))) (+ (sqrt 1.0) (* 2.0 (/ 1 i)))) in i 0.544 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (* 2.0 (/ 1 i))) in i 0.544 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.544 * [taylor]: Taking taylor expansion of 1.0 in i 0.544 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 0.544 * [taylor]: Taking taylor expansion of 2.0 in i 0.544 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.544 * [taylor]: Taking taylor expansion of i in i 0.545 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (* 2.0 (/ 1 i))) in i 0.545 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.545 * [taylor]: Taking taylor expansion of 1.0 in i 0.545 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 0.545 * [taylor]: Taking taylor expansion of 2.0 in i 0.545 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.546 * [taylor]: Taking taylor expansion of i in i 0.549 * [taylor]: Taking taylor expansion of (/ -0.25 (* (pow i 2) (* (- (sqrt 1.0) (* 2.0 (/ 1 i))) (+ (sqrt 1.0) (* 2.0 (/ 1 i)))))) in i 0.549 * [taylor]: Taking taylor expansion of -0.25 in i 0.549 * [taylor]: Taking taylor expansion of (* (pow i 2) (* (- (sqrt 1.0) (* 2.0 (/ 1 i))) (+ (sqrt 1.0) (* 2.0 (/ 1 i))))) in i 0.549 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.549 * [taylor]: Taking taylor expansion of i in i 0.549 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (* 2.0 (/ 1 i))) (+ (sqrt 1.0) (* 2.0 (/ 1 i)))) in i 0.549 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (* 2.0 (/ 1 i))) in i 0.549 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.549 * [taylor]: Taking taylor expansion of 1.0 in i 0.549 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 0.549 * [taylor]: Taking taylor expansion of 2.0 in i 0.549 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.549 * [taylor]: Taking taylor expansion of i in i 0.550 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (* 2.0 (/ 1 i))) in i 0.550 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.550 * [taylor]: Taking taylor expansion of 1.0 in i 0.550 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 0.550 * [taylor]: Taking taylor expansion of 2.0 in i 0.550 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.550 * [taylor]: Taking taylor expansion of i in i 0.598 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 0.599 * [approximate]: Taking taylor expansion of (* (- (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))) in (i) around 0 0.599 * [taylor]: Taking taylor expansion of (* (- (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))) in i 0.599 * [taylor]: Taking taylor expansion of (- (* 2.0 i) (sqrt 1.0)) in i 0.599 * [taylor]: Taking taylor expansion of (* 2.0 i) in i 0.599 * [taylor]: Taking taylor expansion of 2.0 in i 0.599 * [taylor]: Taking taylor expansion of i in i 0.599 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.599 * [taylor]: Taking taylor expansion of 1.0 in i 0.599 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (sqrt 1.0)) in i 0.599 * [taylor]: Taking taylor expansion of (* 2.0 i) in i 0.599 * [taylor]: Taking taylor expansion of 2.0 in i 0.599 * [taylor]: Taking taylor expansion of i in i 0.599 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.599 * [taylor]: Taking taylor expansion of 1.0 in i 0.600 * [taylor]: Taking taylor expansion of (* (- (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))) in i 0.600 * [taylor]: Taking taylor expansion of (- (* 2.0 i) (sqrt 1.0)) in i 0.600 * [taylor]: Taking taylor expansion of (* 2.0 i) in i 0.600 * [taylor]: Taking taylor expansion of 2.0 in i 0.600 * [taylor]: Taking taylor expansion of i in i 0.600 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.600 * [taylor]: Taking taylor expansion of 1.0 in i 0.601 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (sqrt 1.0)) in i 0.601 * [taylor]: Taking taylor expansion of (* 2.0 i) in i 0.601 * [taylor]: Taking taylor expansion of 2.0 in i 0.601 * [taylor]: Taking taylor expansion of i in i 0.601 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.601 * [taylor]: Taking taylor expansion of 1.0 in i 0.643 * [approximate]: Taking taylor expansion of (* (+ (sqrt 1.0) (* 2.0 (/ 1 i))) (- (* 2.0 (/ 1 i)) (sqrt 1.0))) in (i) around 0 0.643 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (* 2.0 (/ 1 i))) (- (* 2.0 (/ 1 i)) (sqrt 1.0))) in i 0.643 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (* 2.0 (/ 1 i))) in i 0.643 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.643 * [taylor]: Taking taylor expansion of 1.0 in i 0.644 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 0.644 * [taylor]: Taking taylor expansion of 2.0 in i 0.644 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.644 * [taylor]: Taking taylor expansion of i in i 0.644 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 i)) (sqrt 1.0)) in i 0.644 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 0.644 * [taylor]: Taking taylor expansion of 2.0 in i 0.644 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.644 * [taylor]: Taking taylor expansion of i in i 0.645 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.645 * [taylor]: Taking taylor expansion of 1.0 in i 0.645 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (* 2.0 (/ 1 i))) (- (* 2.0 (/ 1 i)) (sqrt 1.0))) in i 0.645 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (* 2.0 (/ 1 i))) in i 0.645 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.645 * [taylor]: Taking taylor expansion of 1.0 in i 0.646 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 0.646 * [taylor]: Taking taylor expansion of 2.0 in i 0.646 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.646 * [taylor]: Taking taylor expansion of i in i 0.646 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 i)) (sqrt 1.0)) in i 0.646 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 0.646 * [taylor]: Taking taylor expansion of 2.0 in i 0.646 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.646 * [taylor]: Taking taylor expansion of i in i 0.647 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.647 * [taylor]: Taking taylor expansion of 1.0 in i 0.697 * [approximate]: Taking taylor expansion of (* -1 (* (- (sqrt 1.0) (* 2.0 (/ 1 i))) (+ (sqrt 1.0) (* 2.0 (/ 1 i))))) in (i) around 0 0.697 * [taylor]: Taking taylor expansion of (* -1 (* (- (sqrt 1.0) (* 2.0 (/ 1 i))) (+ (sqrt 1.0) (* 2.0 (/ 1 i))))) in i 0.697 * [taylor]: Taking taylor expansion of -1 in i 0.697 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (* 2.0 (/ 1 i))) (+ (sqrt 1.0) (* 2.0 (/ 1 i)))) in i 0.698 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (* 2.0 (/ 1 i))) in i 0.698 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.698 * [taylor]: Taking taylor expansion of 1.0 in i 0.698 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 0.698 * [taylor]: Taking taylor expansion of 2.0 in i 0.698 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.698 * [taylor]: Taking taylor expansion of i in i 0.699 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (* 2.0 (/ 1 i))) in i 0.699 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.699 * [taylor]: Taking taylor expansion of 1.0 in i 0.699 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 0.699 * [taylor]: Taking taylor expansion of 2.0 in i 0.699 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.699 * [taylor]: Taking taylor expansion of i in i 0.700 * [taylor]: Taking taylor expansion of (* -1 (* (- (sqrt 1.0) (* 2.0 (/ 1 i))) (+ (sqrt 1.0) (* 2.0 (/ 1 i))))) in i 0.700 * [taylor]: Taking taylor expansion of -1 in i 0.700 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (* 2.0 (/ 1 i))) (+ (sqrt 1.0) (* 2.0 (/ 1 i)))) in i 0.700 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (* 2.0 (/ 1 i))) in i 0.700 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.700 * [taylor]: Taking taylor expansion of 1.0 in i 0.700 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 0.700 * [taylor]: Taking taylor expansion of 2.0 in i 0.700 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.700 * [taylor]: Taking taylor expansion of i in i 0.701 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (* 2.0 (/ 1 i))) in i 0.701 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.701 * [taylor]: Taking taylor expansion of 1.0 in i 0.701 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 0.701 * [taylor]: Taking taylor expansion of 2.0 in i 0.701 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.701 * [taylor]: Taking taylor expansion of i in i 0.759 * * * [progress]: simplifying candidates 0.761 * [simplify]: Simplifying using # : (- (+ (log i) (log i)) (+ (+ (log (+ (* 2.0 i) (sqrt 1.0))) (log (- (* 2.0 i) (sqrt 1.0)))) (+ (log 2.0) (log 2.0)))) (- (+ (log i) (log i)) (+ (+ (log (+ (* 2.0 i) (sqrt 1.0))) (log (- (* 2.0 i) (sqrt 1.0)))) (log (* 2.0 2.0)))) (- (+ (log i) (log i)) (+ (log (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))) (+ (log 2.0) (log 2.0)))) (- (+ (log i) (log i)) (+ (log (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))) (log (* 2.0 2.0)))) (- (+ (log i) (log i)) (log (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))) (- (log (* i i)) (+ (+ (log (+ (* 2.0 i) (sqrt 1.0))) (log (- (* 2.0 i) (sqrt 1.0)))) (+ (log 2.0) (log 2.0)))) (- (log (* i i)) (+ (+ (log (+ (* 2.0 i) (sqrt 1.0))) (log (- (* 2.0 i) (sqrt 1.0)))) (log (* 2.0 2.0)))) (- (log (* i i)) (+ (log (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))) (+ (log 2.0) (log 2.0)))) (- (log (* i i)) (+ (log (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))) (log (* 2.0 2.0)))) (- (log (* i i)) (log (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))) (log (/ (* i i) (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))) (exp (/ (* i i) (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))) (/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (* (+ (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))) (+ (* 2.0 i) (sqrt 1.0))) (* (* (- (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (- (* 2.0 i) (sqrt 1.0)))) (* (* (* 2.0 2.0) 2.0) (* (* 2.0 2.0) 2.0)))) (/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (* (+ (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))) (+ (* 2.0 i) (sqrt 1.0))) (* (* (- (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (- (* 2.0 i) (sqrt 1.0)))) (* (* (* 2.0 2.0) (* 2.0 2.0)) (* 2.0 2.0)))) (/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))) (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))) (* (* (* 2.0 2.0) 2.0) (* (* 2.0 2.0) 2.0)))) (/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))) (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))) (* (* (* 2.0 2.0) (* 2.0 2.0)) (* 2.0 2.0)))) (/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)) (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0))) (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))) (/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (* (+ (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))) (+ (* 2.0 i) (sqrt 1.0))) (* (* (- (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (- (* 2.0 i) (sqrt 1.0)))) (* (* (* 2.0 2.0) 2.0) (* (* 2.0 2.0) 2.0)))) (/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (* (+ (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))) (+ (* 2.0 i) (sqrt 1.0))) (* (* (- (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (- (* 2.0 i) (sqrt 1.0)))) (* (* (* 2.0 2.0) (* 2.0 2.0)) (* 2.0 2.0)))) (/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))) (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))) (* (* (* 2.0 2.0) 2.0) (* (* 2.0 2.0) 2.0)))) (/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))) (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))) (* (* (* 2.0 2.0) (* 2.0 2.0)) (* 2.0 2.0)))) (/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)) (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0))) (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))) (* (cbrt (/ (* i i) (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))) (cbrt (/ (* i i) (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0))))) (cbrt (/ (* i i) (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))) (* (* (/ (* i i) (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0))) (/ (* i i) (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))) (/ (* i i) (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))) (sqrt (/ (* i i) (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))) (sqrt (/ (* i i) (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))) (- (* i i)) (- (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0))) (/ i (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))) (/ i (* 2.0 2.0)) (/ 1 (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0))) (/ (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)) (* i i)) (/ (* i i) (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))) (/ (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)) i) (/ (* i i) (* (* (+ (pow (* 2.0 i) 3) (pow (sqrt 1.0) 3)) (- (pow (* 2.0 i) 3) (pow (sqrt 1.0) 3))) (* 2.0 2.0))) (/ (* i i) (* (* (+ (pow (* 2.0 i) 3) (pow (sqrt 1.0) 3)) (- (* (* 2.0 i) (* 2.0 i)) (* (sqrt 1.0) (sqrt 1.0)))) (* 2.0 2.0))) (/ (* i i) (* (* (- (* (* 2.0 i) (* 2.0 i)) (* (sqrt 1.0) (sqrt 1.0))) (- (pow (* 2.0 i) 3) (pow (sqrt 1.0) 3))) (* 2.0 2.0))) (/ (* i i) (* (* (- (* (* 2.0 i) (* 2.0 i)) (* (sqrt 1.0) (sqrt 1.0))) (- (* (* 2.0 i) (* 2.0 i)) (* (sqrt 1.0) (sqrt 1.0)))) (* 2.0 2.0))) (/ (* i i) (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (pow (* 2.0 i) 3) (pow (sqrt 1.0) 3))) (* 2.0 2.0))) (/ (* i i) (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* (* 2.0 i) (* 2.0 i)) (* (sqrt 1.0) (sqrt 1.0)))) (* 2.0 2.0))) (/ (* i i) (* (* (+ (pow (* 2.0 i) 3) (pow (sqrt 1.0) 3)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0))) (/ (* i i) (* (* (- (* (* 2.0 i) (* 2.0 i)) (* (sqrt 1.0) (sqrt 1.0))) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0))) (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (+ (log (+ (* 2.0 i) (sqrt 1.0))) (log (- (* 2.0 i) (sqrt 1.0)))) (log (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))) (exp (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))) (* (* (* (+ (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))) (+ (* 2.0 i) (sqrt 1.0))) (* (* (- (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (- (* 2.0 i) (sqrt 1.0)))) (* (cbrt (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))) (cbrt (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))))) (cbrt (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))) (* (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))) (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))) (sqrt (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))) (sqrt (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))) (* (+ (pow (* 2.0 i) 3) (pow (sqrt 1.0) 3)) (- (pow (* 2.0 i) 3) (pow (sqrt 1.0) 3))) (* (+ (* (* 2.0 i) (* 2.0 i)) (- (* (sqrt 1.0) (sqrt 1.0)) (* (* 2.0 i) (sqrt 1.0)))) (+ (* (* 2.0 i) (* 2.0 i)) (+ (* (sqrt 1.0) (sqrt 1.0)) (* (* 2.0 i) (sqrt 1.0))))) (* (+ (pow (* 2.0 i) 3) (pow (sqrt 1.0) 3)) (- (* (* 2.0 i) (* 2.0 i)) (* (sqrt 1.0) (sqrt 1.0)))) (* (+ (* (* 2.0 i) (* 2.0 i)) (- (* (sqrt 1.0) (sqrt 1.0)) (* (* 2.0 i) (sqrt 1.0)))) (+ (* 2.0 i) (sqrt 1.0))) (* (- (* (* 2.0 i) (* 2.0 i)) (* (sqrt 1.0) (sqrt 1.0))) (- (pow (* 2.0 i) 3) (pow (sqrt 1.0) 3))) (* (- (* 2.0 i) (sqrt 1.0)) (+ (* (* 2.0 i) (* 2.0 i)) (+ (* (sqrt 1.0) (sqrt 1.0)) (* (* 2.0 i) (sqrt 1.0))))) (* (- (* (* 2.0 i) (* 2.0 i)) (* (sqrt 1.0) (sqrt 1.0))) (- (* (* 2.0 i) (* 2.0 i)) (* (sqrt 1.0) (sqrt 1.0)))) (* (- (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))) (* (sqrt (+ (* 2.0 i) (sqrt 1.0))) (sqrt (- (* 2.0 i) (sqrt 1.0)))) (* (sqrt (+ (* 2.0 i) (sqrt 1.0))) (sqrt (- (* 2.0 i) (sqrt 1.0)))) (* (+ (* 2.0 i) (sqrt 1.0)) (* 2.0 i)) (* (+ (* 2.0 i) (sqrt 1.0)) (- (sqrt 1.0))) (* (+ (* 2.0 i) (sqrt 1.0)) (* 2.0 i)) (* (+ (* 2.0 i) (sqrt 1.0)) (- (sqrt 1.0))) (* (* 2.0 i) (+ (* 2.0 i) (sqrt 1.0))) (* (- (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))) (* (* 2.0 i) (+ (* 2.0 i) (sqrt 1.0))) (* (- (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))) (* (+ (* 2.0 i) (sqrt 1.0)) (* (cbrt (- (* 2.0 i) (sqrt 1.0))) (cbrt (- (* 2.0 i) (sqrt 1.0))))) (* (+ (* 2.0 i) (sqrt 1.0)) (sqrt (- (* 2.0 i) (sqrt 1.0)))) (* (+ (* 2.0 i) (sqrt 1.0)) 1) (* (cbrt (+ (* 2.0 i) (sqrt 1.0))) (- (* 2.0 i) (sqrt 1.0))) (* (sqrt (+ (* 2.0 i) (sqrt 1.0))) (- (* 2.0 i) (sqrt 1.0))) (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* (+ (* 2.0 i) (sqrt 1.0)) (- (pow (* 2.0 i) 3) (pow (sqrt 1.0) 3))) (* (+ (* 2.0 i) (sqrt 1.0)) (- (* (* 2.0 i) (* 2.0 i)) (* (sqrt 1.0) (sqrt 1.0)))) (* (+ (pow (* 2.0 i) 3) (pow (sqrt 1.0) 3)) (- (* 2.0 i) (sqrt 1.0))) (* (- (* (* 2.0 i) (* 2.0 i)) (* (sqrt 1.0) (sqrt 1.0))) (- (* 2.0 i) (sqrt 1.0))) (- (+ (* 1.0 (/ (pow i 4) (pow (sqrt 1.0) 4))) (+ (* 0.25 (/ (pow i 2) (pow (sqrt 1.0) 2))) (* 4.0 (/ (pow i 6) (pow (sqrt 1.0) 6)))))) (+ (* 0.00390625 (/ (pow (sqrt 1.0) 4) (pow i 4))) (+ (* 0.015625 (/ (pow (sqrt 1.0) 2) (pow i 2))) 0.0625)) (+ (* 0.00390625 (/ (pow (sqrt 1.0) 4) (pow i 4))) (+ (* 0.015625 (/ (pow (sqrt 1.0) 2) (pow i 2))) 0.0625)) (- (* 4.0 (pow i 2)) (pow (sqrt 1.0) 2)) (- (* 4.0 (pow i 2)) (pow (sqrt 1.0) 2)) (- (* 4.0 (pow i 2)) (pow (sqrt 1.0) 2)) 0.768 * * [simplify]: iteration 0 : 628 enodes (cost 1179 ) 0.780 * * [simplify]: iteration 1 : 3646 enodes (cost 850 ) 0.836 * * [simplify]: iteration 2 : 5001 enodes (cost 825 ) 0.840 * [simplify]: Simplified to: (- (log (* i (/ i (* 2.0 2.0)))) (log (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0)))) (- (log (* i (/ i (* 2.0 2.0)))) (log (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0)))) (- (log (* i (/ i (* 2.0 2.0)))) (log (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0)))) (- (log (* i (/ i (* 2.0 2.0)))) (log (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0)))) (- (log (* i (/ i (* 2.0 2.0)))) (log (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0)))) (- (log (* i (/ i (* 2.0 2.0)))) (log (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0)))) (- (log (* i (/ i (* 2.0 2.0)))) (log (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0)))) (- (log (* i (/ i (* 2.0 2.0)))) (log (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0)))) (- (log (* i (/ i (* 2.0 2.0)))) (log (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0)))) (- (log (* i (/ i (* 2.0 2.0)))) (log (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0)))) (- (log (* i (/ i (* 2.0 2.0)))) (log (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0)))) (pow (exp (/ i (* 2.0 2.0))) (/ i (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0)))) (* (pow (/ i (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0))) 3) (pow (/ i (* 2.0 2.0)) 3)) (* (pow (/ i (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0))) 3) (pow (/ i (* 2.0 2.0)) 3)) (* (pow (/ i (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0))) 3) (pow (/ i (* 2.0 2.0)) 3)) (* (pow (/ i (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0))) 3) (pow (/ i (* 2.0 2.0)) 3)) (* (pow (/ i (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0))) 3) (pow (/ i (* 2.0 2.0)) 3)) (* (pow (/ i (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0))) 3) (pow (/ i (* 2.0 2.0)) 3)) (* (pow (/ i (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0))) 3) (pow (/ i (* 2.0 2.0)) 3)) (* (pow (/ i (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0))) 3) (pow (/ i (* 2.0 2.0)) 3)) (* (pow (/ i (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0))) 3) (pow (/ i (* 2.0 2.0)) 3)) (* (pow (/ i (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0))) 3) (pow (/ i (* 2.0 2.0)) 3)) (* (cbrt (/ (* i i) (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))) (cbrt (/ (* i i) (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0))))) (cbrt (/ (* i i) (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))) (* (pow (/ i (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0))) 3) (pow (/ i (* 2.0 2.0)) 3)) (sqrt (/ (* i i) (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))) (sqrt (/ (* i i) (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))) (- (* i i)) (* (- (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0))) (* 2.0 2.0)) (/ i (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0))) (/ i (* 2.0 2.0)) (/ (/ 1 (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0))) (* 2.0 2.0)) (* (/ (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0)) i) (/ (* 2.0 2.0) i)) (/ i (/ (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0)) i)) (/ (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0)) (/ i (* 2.0 2.0))) (/ (* i i) (* (* (+ (pow (* 2.0 i) 3) (pow (sqrt 1.0) 3)) (- (pow (* 2.0 i) 3) (pow (sqrt 1.0) 3))) (* 2.0 2.0))) (* (/ i (* (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0)) (+ (pow (* 2.0 i) 3) (pow (sqrt 1.0) 3)))) (/ i (* 2.0 2.0))) (* (/ i (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0))) (/ i (* (- (pow (* 2.0 i) 3) (pow (sqrt 1.0) 3)) (* 2.0 2.0)))) (/ (* i (/ i (* 2.0 2.0))) (* (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0)) (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0)))) (/ (* i i) (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (pow (* 2.0 i) 3) (pow (sqrt 1.0) 3))) (* 2.0 2.0))) (* (/ i (* (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0)) (+ (* 2.0 i) (sqrt 1.0)))) (/ i (* 2.0 2.0))) (/ (* i i) (* (* (+ (pow (* 2.0 i) 3) (pow (sqrt 1.0) 3)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0))) (* (/ i (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0))) (/ i (* (- (* 2.0 i) (sqrt 1.0)) (* 2.0 2.0)))) (- (* (* 2.0 i) (* 2.0 i)) 1.0) (log (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0))) (log (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0))) (exp (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (pow (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0)) 3) (* (cbrt (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))) (cbrt (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))))) (cbrt (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))) (pow (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0)) 3) (sqrt (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))) (sqrt (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))) (* (+ (pow (* 2.0 i) 3) (pow (sqrt 1.0) 3)) (- (pow (* 2.0 i) 3) (pow (sqrt 1.0) 3))) (* (+ (+ (* (* 2.0 i) (* 2.0 i)) 1.0) (* (* 2.0 i) (sqrt 1.0))) (- (+ (* (* 2.0 i) (* 2.0 i)) 1.0) (* (* 2.0 i) (sqrt 1.0)))) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (+ (pow (* 2.0 i) 3) (pow (sqrt 1.0) 3))) (* (+ (* 2.0 i) (sqrt 1.0)) (- (+ (* (* 2.0 i) (* 2.0 i)) 1.0) (* (* 2.0 i) (sqrt 1.0)))) (* (- (pow (* 2.0 i) 3) (pow (sqrt 1.0) 3)) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (* (+ (+ (* (* 2.0 i) (* 2.0 i)) 1.0) (* (* 2.0 i) (sqrt 1.0))) (- (* 2.0 i) (sqrt 1.0))) (* (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0)) (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0))) (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* (sqrt (+ (* 2.0 i) (sqrt 1.0))) (sqrt (- (* 2.0 i) (sqrt 1.0)))) (* (sqrt (+ (* 2.0 i) (sqrt 1.0))) (sqrt (- (* 2.0 i) (sqrt 1.0)))) (* (* 2.0 i) (+ (* 2.0 i) (sqrt 1.0))) (* (- (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))) (* (* 2.0 i) (+ (* 2.0 i) (sqrt 1.0))) (* (- (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))) (* (* 2.0 i) (+ (* 2.0 i) (sqrt 1.0))) (* (- (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))) (* (* 2.0 i) (+ (* 2.0 i) (sqrt 1.0))) (* (- (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))) (* (+ (* 2.0 i) (sqrt 1.0)) (* (cbrt (- (* 2.0 i) (sqrt 1.0))) (cbrt (- (* 2.0 i) (sqrt 1.0))))) (* (+ (* 2.0 i) (sqrt 1.0)) (sqrt (- (* 2.0 i) (sqrt 1.0)))) (+ (* 2.0 i) (sqrt 1.0)) (* (cbrt (+ (* 2.0 i) (sqrt 1.0))) (- (* 2.0 i) (sqrt 1.0))) (* (sqrt (+ (* 2.0 i) (sqrt 1.0))) (- (* 2.0 i) (sqrt 1.0))) (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* (+ (* 2.0 i) (sqrt 1.0)) (- (pow (* 2.0 i) 3) (pow (sqrt 1.0) 3))) (* (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0)) (+ (* 2.0 i) (sqrt 1.0))) (* (+ (pow (* 2.0 i) 3) (pow (sqrt 1.0) 3)) (- (* 2.0 i) (sqrt 1.0))) (* (- (* 2.0 i) (sqrt 1.0)) (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0))) (- (/ (- (* 1.0 (pow i 4))) (* 1.0 1.0)) (+ (* 4.0 (/ (pow i 6) (pow (sqrt 1.0) 6))) (/ (* 0.25 (pow i 2)) 1.0))) (+ (+ 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))) (* 0.00390625 (/ (pow (sqrt 1.0) 4) (pow i 4)))) (+ (* 4.0 (pow i 2)) (- 1.0)) (+ (* 4.0 (pow i 2)) (- 1.0)) (+ (* 4.0 (pow i 2)) (- 1.0)) 0.840 * * * [progress]: adding candidates to table 0.972 * * [progress]: iteration 3 / 4 0.972 * * * [progress]: picking best candidate 0.974 * * * * [pick]: Picked # 0.974 * * * [progress]: localizing error 0.985 * * * [progress]: generating rewritten candidates 0.985 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2) 0.989 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 0.996 * * * [progress]: generating series expansions 0.996 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2) 0.996 * [approximate]: Taking taylor expansion of (/ 1 (pow i 2)) in (i) around 0 0.996 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.996 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.996 * [taylor]: Taking taylor expansion of i in i 0.997 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.997 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.997 * [taylor]: Taking taylor expansion of i in i 1.003 * [approximate]: Taking taylor expansion of (pow i 2) in (i) around 0 1.004 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.004 * [taylor]: Taking taylor expansion of i in i 1.004 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.004 * [taylor]: Taking taylor expansion of i in i 1.007 * [approximate]: Taking taylor expansion of (pow i 2) in (i) around 0 1.007 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.007 * [taylor]: Taking taylor expansion of i in i 1.007 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.007 * [taylor]: Taking taylor expansion of i in i 1.011 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 1.011 * [approximate]: Taking taylor expansion of (/ 1 (pow i 4)) in (i) around 0 1.011 * [taylor]: Taking taylor expansion of (/ 1 (pow i 4)) in i 1.011 * [taylor]: Taking taylor expansion of (pow i 4) in i 1.011 * [taylor]: Taking taylor expansion of i in i 1.012 * [taylor]: Taking taylor expansion of (/ 1 (pow i 4)) in i 1.012 * [taylor]: Taking taylor expansion of (pow i 4) in i 1.012 * [taylor]: Taking taylor expansion of i in i 1.022 * [approximate]: Taking taylor expansion of (pow i 4) in (i) around 0 1.022 * [taylor]: Taking taylor expansion of (pow i 4) in i 1.022 * [taylor]: Taking taylor expansion of i in i 1.022 * [taylor]: Taking taylor expansion of (pow i 4) in i 1.022 * [taylor]: Taking taylor expansion of i in i 1.032 * [approximate]: Taking taylor expansion of (pow i 4) in (i) around 0 1.032 * [taylor]: Taking taylor expansion of (pow i 4) in i 1.032 * [taylor]: Taking taylor expansion of i in i 1.032 * [taylor]: Taking taylor expansion of (pow i 4) in i 1.032 * [taylor]: Taking taylor expansion of i in i 1.039 * * * [progress]: simplifying candidates 1.041 * [simplify]: Simplifying using # : (- 2) (- (* (log i) 2)) (- (* (log i) 2)) (- (log (pow i 2))) (- 0 (* (log i) 2)) (- 0 (* (log i) 2)) (- 0 (log (pow i 2))) (- (log 1) (* (log i) 2)) (- (log 1) (* (log i) 2)) (- (log 1) (log (pow i 2))) (log (/ 1 (pow i 2))) (exp (/ 1 (pow i 2))) (/ (* (* 1 1) 1) (* (* (pow i 2) (pow i 2)) (pow i 2))) (* (cbrt (/ 1 (pow i 2))) (cbrt (/ 1 (pow i 2)))) (cbrt (/ 1 (pow i 2))) (* (* (/ 1 (pow i 2)) (/ 1 (pow i 2))) (/ 1 (pow i 2))) (sqrt (/ 1 (pow i 2))) (sqrt (/ 1 (pow i 2))) (- 1) (- (pow i 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt i) (cbrt i)) 2)) (/ (cbrt 1) (pow (cbrt i) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt i) 2)) (/ (cbrt 1) (pow (sqrt i) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 2)) (/ (cbrt 1) (pow i 2)) (/ (* (cbrt 1) (cbrt 1)) i) (/ (cbrt 1) i) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow i 2)) (cbrt (pow i 2)))) (/ (cbrt 1) (cbrt (pow i 2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow i 2))) (/ (cbrt 1) (sqrt (pow i 2))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow i 2)) (/ (* (cbrt 1) (cbrt 1)) (pow i (/ 2 2))) (/ (cbrt 1) (pow i (/ 2 2))) (/ (sqrt 1) (pow (* (cbrt i) (cbrt i)) 2)) (/ (sqrt 1) (pow (cbrt i) 2)) (/ (sqrt 1) (pow (sqrt i) 2)) (/ (sqrt 1) (pow (sqrt i) 2)) (/ (sqrt 1) (pow 1 2)) (/ (sqrt 1) (pow i 2)) (/ (sqrt 1) i) (/ (sqrt 1) i) (/ (sqrt 1) (* (cbrt (pow i 2)) (cbrt (pow i 2)))) (/ (sqrt 1) (cbrt (pow i 2))) (/ (sqrt 1) (sqrt (pow i 2))) (/ (sqrt 1) (sqrt (pow i 2))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow i 2)) (/ (sqrt 1) (pow i (/ 2 2))) (/ (sqrt 1) (pow i (/ 2 2))) (/ 1 (pow (* (cbrt i) (cbrt i)) 2)) (/ 1 (pow (cbrt i) 2)) (/ 1 (pow (sqrt i) 2)) (/ 1 (pow (sqrt i) 2)) (/ 1 (pow 1 2)) (/ 1 (pow i 2)) (/ 1 i) (/ 1 i) (/ 1 (* (cbrt (pow i 2)) (cbrt (pow i 2)))) (/ 1 (cbrt (pow i 2))) (/ 1 (sqrt (pow i 2))) (/ 1 (sqrt (pow i 2))) (/ 1 1) (/ 1 (pow i 2)) (/ 1 (pow i (/ 2 2))) (/ 1 (pow i (/ 2 2))) (/ 1 (pow i 2)) (/ (pow i 2) 1) (/ 1 (pow (* (cbrt i) (cbrt i)) 2)) (/ 1 (pow (sqrt i) 2)) (/ 1 (pow 1 2)) (/ 1 i) (/ 1 (* (cbrt (pow i 2)) (cbrt (pow i 2)))) (/ 1 (sqrt (pow i 2))) (/ 1 1) (/ 1 (pow i (/ 2 2))) (/ (pow i 2) (cbrt 1)) (/ (pow i 2) (sqrt 1)) (/ (pow i 2) 1) (- 4) (- (* (log i) 4)) (- (* (log i) 4)) (- (log (pow i 4))) (- 0 (* (log i) 4)) (- 0 (* (log i) 4)) (- 0 (log (pow i 4))) (- (log 1) (* (log i) 4)) (- (log 1) (* (log i) 4)) (- (log 1) (log (pow i 4))) (log (/ 1 (pow i 4))) (exp (/ 1 (pow i 4))) (/ (* (* 1 1) 1) (* (* (pow i 4) (pow i 4)) (pow i 4))) (* (cbrt (/ 1 (pow i 4))) (cbrt (/ 1 (pow i 4)))) (cbrt (/ 1 (pow i 4))) (* (* (/ 1 (pow i 4)) (/ 1 (pow i 4))) (/ 1 (pow i 4))) (sqrt (/ 1 (pow i 4))) (sqrt (/ 1 (pow i 4))) (- 1) (- (pow i 4)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt i) (cbrt i)) 4)) (/ (cbrt 1) (pow (cbrt i) 4)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt i) 4)) (/ (cbrt 1) (pow (sqrt i) 4)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 4)) (/ (cbrt 1) (pow i 4)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow i 4)) (cbrt (pow i 4)))) (/ (cbrt 1) (cbrt (pow i 4))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow i 4))) (/ (cbrt 1) (sqrt (pow i 4))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow i 4)) (/ (* (cbrt 1) (cbrt 1)) (pow i (/ 4 2))) (/ (cbrt 1) (pow i (/ 4 2))) (/ (sqrt 1) (pow (* (cbrt i) (cbrt i)) 4)) (/ (sqrt 1) (pow (cbrt i) 4)) (/ (sqrt 1) (pow (sqrt i) 4)) (/ (sqrt 1) (pow (sqrt i) 4)) (/ (sqrt 1) (pow 1 4)) (/ (sqrt 1) (pow i 4)) (/ (sqrt 1) (* (cbrt (pow i 4)) (cbrt (pow i 4)))) (/ (sqrt 1) (cbrt (pow i 4))) (/ (sqrt 1) (sqrt (pow i 4))) (/ (sqrt 1) (sqrt (pow i 4))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow i 4)) (/ (sqrt 1) (pow i (/ 4 2))) (/ (sqrt 1) (pow i (/ 4 2))) (/ 1 (pow (* (cbrt i) (cbrt i)) 4)) (/ 1 (pow (cbrt i) 4)) (/ 1 (pow (sqrt i) 4)) (/ 1 (pow (sqrt i) 4)) (/ 1 (pow 1 4)) (/ 1 (pow i 4)) (/ 1 (* (cbrt (pow i 4)) (cbrt (pow i 4)))) (/ 1 (cbrt (pow i 4))) (/ 1 (sqrt (pow i 4))) (/ 1 (sqrt (pow i 4))) (/ 1 1) (/ 1 (pow i 4)) (/ 1 (pow i (/ 4 2))) (/ 1 (pow i (/ 4 2))) (/ 1 (pow i 4)) (/ (pow i 4) 1) (/ 1 (pow (* (cbrt i) (cbrt i)) 4)) (/ 1 (pow (sqrt i) 4)) (/ 1 (pow 1 4)) (/ 1 (* (cbrt (pow i 4)) (cbrt (pow i 4)))) (/ 1 (sqrt (pow i 4))) (/ 1 1) (/ 1 (pow i (/ 4 2))) (/ (pow i 4) (cbrt 1)) (/ (pow i 4) (sqrt 1)) (/ (pow i 4) 1) (/ 1 (pow i 2)) (/ 1 (pow i 2)) (/ 1 (pow i 2)) (/ 1 (pow i 4)) (/ 1 (pow i 4)) (/ 1 (pow i 4)) 1.046 * * [simplify]: iteration 0 : 265 enodes (cost 506 ) 1.050 * * [simplify]: iteration 1 : 1039 enodes (cost 432 ) 1.068 * * [simplify]: iteration 2 : 5001 enodes (cost 356 ) 1.071 * [simplify]: Simplified to: (- 2) (log (/ 1 (pow i 2))) (log (/ 1 (pow i 2))) (log (/ 1 (pow i 2))) (log (/ 1 (pow i 2))) (log (/ 1 (pow i 2))) (log (/ 1 (pow i 2))) (log (/ 1 (pow i 2))) (log (/ 1 (pow i 2))) (log (/ 1 (pow i 2))) (log (/ 1 (pow i 2))) (exp (/ 1 (pow i 2))) (/ 1 (pow (pow i 2) 3)) (* (cbrt (/ 1 (pow i 2))) (cbrt (/ 1 (pow i 2)))) (cbrt (/ 1 (pow i 2))) (/ 1 (pow (pow i 2) 3)) (fabs (/ 1 i)) (fabs (/ 1 i)) (- 1) (- (pow i 2)) (/ 1 (pow (cbrt i) 4)) (/ 1 (pow (cbrt i) 2)) (/ 1 i) (/ 1 i) 1 (/ 1 (pow i 2)) (/ 1 i) (/ 1 i) (/ 1 (* (cbrt (pow i 2)) (cbrt (pow i 2)))) (/ 1 (cbrt (pow i 2))) (/ 1 (fabs i)) (/ 1 (fabs i)) 1 (/ 1 (pow i 2)) (/ 1 i) (/ 1 i) (/ 1 (pow (cbrt i) 4)) (/ 1 (pow (cbrt i) 2)) (/ 1 i) (/ 1 i) 1 (/ 1 (pow i 2)) (/ 1 i) (/ 1 i) (/ 1 (* (cbrt (pow i 2)) (cbrt (pow i 2)))) (/ 1 (cbrt (pow i 2))) (/ 1 (fabs i)) (/ 1 (fabs i)) 1 (/ 1 (pow i 2)) (/ 1 i) (/ 1 i) (/ 1 (pow (cbrt i) 4)) (/ 1 (pow (cbrt i) 2)) (/ 1 i) (/ 1 i) 1 (/ 1 (pow i 2)) (/ 1 i) (/ 1 i) (/ 1 (* (cbrt (pow i 2)) (cbrt (pow i 2)))) (/ 1 (cbrt (pow i 2))) (/ 1 (fabs i)) (/ 1 (fabs i)) 1 (/ 1 (pow i 2)) (/ 1 i) (/ 1 i) (/ 1 (pow i 2)) (pow i 2) (/ 1 (pow (cbrt i) 4)) (/ 1 i) 1 (/ 1 i) (/ 1 (* (cbrt (pow i 2)) (cbrt (pow i 2)))) (/ 1 (fabs i)) 1 (/ 1 i) (pow i 2) (pow i 2) (pow i 2) (- 4) (log (/ 1 (pow i 4))) (log (/ 1 (pow i 4))) (log (/ 1 (pow i 4))) (log (/ 1 (pow i 4))) (log (/ 1 (pow i 4))) (log (/ 1 (pow i 4))) (log (/ 1 (pow i 4))) (log (/ 1 (pow i 4))) (log (/ 1 (pow i 4))) (log (/ 1 (pow i 4))) (exp (/ 1 (pow i 4))) (/ 1 (pow (pow i 4) 3)) (* (cbrt (/ 1 (pow i 4))) (cbrt (/ 1 (pow i 4)))) (cbrt (/ 1 (pow i 4))) (/ 1 (pow (pow i 4) 3)) (sqrt (/ 1 (pow i 4))) (sqrt (/ 1 (pow i 4))) (- 1) (- (pow i 4)) (/ 1 (pow (cbrt i) 8)) (/ 1 (pow (cbrt i) 4)) (/ 1 (pow i 2)) (/ 1 (pow i 2)) 1 (/ 1 (pow i 4)) (/ 1 (* (cbrt (pow i 4)) (cbrt (pow i 4)))) (/ 1 (cbrt (pow i 4))) (/ 1 (sqrt (pow i 4))) (/ 1 (sqrt (pow i 4))) 1 (/ 1 (pow i 4)) (/ 1 (pow i 2)) (/ 1 (pow i 2)) (/ 1 (pow (cbrt i) 8)) (/ 1 (pow (cbrt i) 4)) (/ 1 (pow i 2)) (/ 1 (pow i 2)) 1 (/ 1 (pow i 4)) (/ 1 (* (cbrt (pow i 4)) (cbrt (pow i 4)))) (/ 1 (cbrt (pow i 4))) (/ 1 (sqrt (pow i 4))) (/ 1 (sqrt (pow i 4))) 1 (/ 1 (pow i 4)) (/ 1 (pow i 2)) (/ 1 (pow i 2)) (/ 1 (pow (cbrt i) 8)) (/ 1 (pow (cbrt i) 4)) (/ 1 (pow i 2)) (/ 1 (pow i 2)) 1 (/ 1 (pow i 4)) (/ 1 (* (cbrt (pow i 4)) (cbrt (pow i 4)))) (/ 1 (cbrt (pow i 4))) (/ 1 (sqrt (pow i 4))) (/ 1 (sqrt (pow i 4))) 1 (/ 1 (pow i 4)) (/ 1 (pow i 2)) (/ 1 (pow i 2)) (/ 1 (pow i 4)) (pow i 4) (/ 1 (pow (cbrt i) 8)) (/ 1 (pow i 2)) 1 (/ 1 (* (cbrt (pow i 4)) (cbrt (pow i 4)))) (/ 1 (sqrt (pow i 4))) 1 (/ 1 (pow i 2)) (pow i 4) (pow i 4) (pow i 4) (/ 1 (pow i 2)) (/ 1 (pow i 2)) (/ 1 (pow i 2)) (/ 1 (pow i 4)) (/ 1 (pow i 4)) (/ 1 (pow i 4)) 1.071 * * * [progress]: adding candidates to table 1.201 * [progress]: [Phase 3 of 3] Extracting. 1.201 * * [regime]: Finding splitpoints for: (# #) 1.201 * * * [regime-changes]: Trying 1 branch expressions: (i) 1.201 * * * * [regimes]: Trying to branch on i from (# #) 1.218 * * * [regime]: Found split indices: #