16.772 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying using # : (/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 0.023 * * [simplify]: iteration 0 : 31 enodes (cost 12 ) 0.025 * * [simplify]: iteration 1 : 168 enodes (cost 11 ) 0.029 * * [simplify]: iteration 2 : 965 enodes (cost 9 ) 0.052 * * [simplify]: iteration 3 : 5001 enodes (cost 8 ) 0.052 * [simplify]: Simplified to: (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) 0.056 * * [progress]: iteration 1 / 4 0.056 * * * [progress]: picking best candidate 0.057 * * * * [pick]: Picked # 0.057 * * * [progress]: localizing error 0.065 * * * [progress]: generating rewritten candidates 0.065 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.082 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 0.090 * * * [progress]: generating series expansions 0.090 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.091 * [approximate]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in (i) around 0 0.091 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in i 0.091 * [taylor]: Taking taylor expansion of 0.25 in i 0.091 * [taylor]: Taking taylor expansion of (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0)) in i 0.091 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.091 * [taylor]: Taking taylor expansion of i in i 0.091 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.091 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.091 * [taylor]: Taking taylor expansion of 4.0 in i 0.091 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.091 * [taylor]: Taking taylor expansion of i in i 0.091 * [taylor]: Taking taylor expansion of 1.0 in i 0.093 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in i 0.093 * [taylor]: Taking taylor expansion of 0.25 in i 0.093 * [taylor]: Taking taylor expansion of (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0)) in i 0.093 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.093 * [taylor]: Taking taylor expansion of i in i 0.093 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.093 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.093 * [taylor]: Taking taylor expansion of 4.0 in i 0.093 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.093 * [taylor]: Taking taylor expansion of i in i 0.093 * [taylor]: Taking taylor expansion of 1.0 in i 0.115 * [approximate]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.115 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.115 * [taylor]: Taking taylor expansion of 0.25 in i 0.115 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.115 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.115 * [taylor]: Taking taylor expansion of i in i 0.115 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.115 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.115 * [taylor]: Taking taylor expansion of 4.0 in i 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.115 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.115 * [taylor]: Taking taylor expansion of i in i 0.116 * [taylor]: Taking taylor expansion of 1.0 in i 0.117 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.117 * [taylor]: Taking taylor expansion of 0.25 in i 0.117 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.117 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.117 * [taylor]: Taking taylor expansion of i in i 0.117 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.117 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.117 * [taylor]: Taking taylor expansion of 4.0 in i 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.117 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.117 * [taylor]: Taking taylor expansion of i in i 0.118 * [taylor]: Taking taylor expansion of 1.0 in i 0.155 * [approximate]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.155 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.155 * [taylor]: Taking taylor expansion of 0.25 in i 0.155 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.155 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.155 * [taylor]: Taking taylor expansion of i in i 0.155 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.155 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.155 * [taylor]: Taking taylor expansion of 4.0 in i 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.155 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.155 * [taylor]: Taking taylor expansion of i in i 0.156 * [taylor]: Taking taylor expansion of 1.0 in i 0.158 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.158 * [taylor]: Taking taylor expansion of 0.25 in i 0.158 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.158 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.158 * [taylor]: Taking taylor expansion of i in i 0.158 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.158 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.158 * [taylor]: Taking taylor expansion of 4.0 in i 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.158 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.158 * [taylor]: Taking taylor expansion of i in i 0.159 * [taylor]: Taking taylor expansion of 1.0 in i 0.201 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 0.201 * [approximate]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in (i) around 0 0.201 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.201 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.201 * [taylor]: Taking taylor expansion of 4.0 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 0.201 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.201 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.201 * [taylor]: Taking taylor expansion of 4.0 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 0.221 * [approximate]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in (i) around 0 0.222 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.222 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.222 * [taylor]: Taking taylor expansion of 4.0 in i 0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.222 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.222 * [taylor]: Taking taylor expansion of i in i 0.222 * [taylor]: Taking taylor expansion of 1.0 in i 0.222 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.223 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.223 * [taylor]: Taking taylor expansion of 4.0 in i 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.223 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.223 * [taylor]: Taking taylor expansion of i in i 0.223 * [taylor]: Taking taylor expansion of 1.0 in i 0.248 * [approximate]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in (i) around 0 0.249 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.249 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.249 * [taylor]: Taking taylor expansion of 4.0 in i 0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.249 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.249 * [taylor]: Taking taylor expansion of i in i 0.249 * [taylor]: Taking taylor expansion of 1.0 in i 0.249 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.249 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.249 * [taylor]: Taking taylor expansion of 4.0 in i 0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.249 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.249 * [taylor]: Taking taylor expansion of i in i 0.250 * [taylor]: Taking taylor expansion of 1.0 in i 0.268 * * * [progress]: simplifying candidates 0.269 * [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)))) (neg (* i i)) (neg (* (- (* (* 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))) (neg 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)) (neg 1.0) (neg (+ (* 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) 0.274 * * [simplify]: iteration 0 : 342 enodes (cost 496 ) 0.280 * * [simplify]: iteration 1 : 1633 enodes (cost 364 ) 0.308 * * [simplify]: iteration 2 : 5001 enodes (cost 364 ) 0.310 * [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)))) (neg (* i i)) (neg (* (- (* (* 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)) (+ (neg (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)) (neg 1.0) (+ (neg (* 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)) (neg 1.0) (neg (+ (* 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) 0.311 * * * [progress]: adding candidates to table 0.376 * * [progress]: iteration 2 / 4 0.376 * * * [progress]: picking best candidate 0.378 * * * * [pick]: Picked # 0.378 * * * [progress]: localizing error 0.393 * * * [progress]: generating rewritten candidates 0.393 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2) 0.398 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 0.406 * * * [progress]: generating series expansions 0.406 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2) 0.406 * [approximate]: Taking taylor expansion of (/ 1 (pow i 2)) in (i) around 0 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.407 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.407 * [taylor]: Taking taylor expansion of i in i 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.407 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.407 * [taylor]: Taking taylor expansion of i in i 0.414 * [approximate]: Taking taylor expansion of (pow i 2) in (i) around 0 0.414 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.414 * [taylor]: Taking taylor expansion of i in i 0.414 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.414 * [taylor]: Taking taylor expansion of i in i 0.418 * [approximate]: Taking taylor expansion of (pow i 2) in (i) around 0 0.418 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.418 * [taylor]: Taking taylor expansion of i in i 0.418 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.418 * [taylor]: Taking taylor expansion of i in i 0.422 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 0.422 * [approximate]: Taking taylor expansion of (/ 1 (pow i 4)) in (i) around 0 0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow i 4)) in i 0.422 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.422 * [taylor]: Taking taylor expansion of i in i 0.423 * [taylor]: Taking taylor expansion of (/ 1 (pow i 4)) in i 0.423 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.423 * [taylor]: Taking taylor expansion of i in i 0.433 * [approximate]: Taking taylor expansion of (pow i 4) in (i) around 0 0.433 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.433 * [taylor]: Taking taylor expansion of i in i 0.433 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.433 * [taylor]: Taking taylor expansion of i in i 0.441 * [approximate]: Taking taylor expansion of (pow i 4) in (i) around 0 0.441 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.441 * [taylor]: Taking taylor expansion of i in i 0.441 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.441 * [taylor]: Taking taylor expansion of i in i 0.448 * * * [progress]: simplifying candidates 0.450 * [simplify]: Simplifying using # : (neg 2) (neg (* (log i) 2)) (neg (* (log i) 2)) (neg (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))) (neg 1) (neg (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) (neg 4) (neg (* (log i) 4)) (neg (* (log i) 4)) (neg (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))) (neg 1) (neg (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)) 0.455 * * [simplify]: iteration 0 : 265 enodes (cost 482 ) 0.460 * * [simplify]: iteration 1 : 1039 enodes (cost 408 ) 0.479 * * [simplify]: iteration 2 : 5001 enodes (cost 332 ) 0.483 * [simplify]: Simplified to: -2 (* (log i) -2) (* (log i) -2) (* (log i) -2) (* (log i) -2) (* (log i) -2) (* (log i) -2) (* (log i) -2) (* (log i) -2) (* (log i) -2) (* (log 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 (neg (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 i) -4) (* (log i) -4) (* (log i) -4) (* (log i) -4) (* (log i) -4) (* (log i) -4) (* (log i) -4) (* (log i) -4) (* (log i) -4) (* (log 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 (neg (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)) 0.484 * * * [progress]: adding candidates to table 0.617 * [progress]: [Phase 3 of 3] Extracting. 0.617 * * [regime]: Finding splitpoints for: (# #) 0.617 * * * [regime-changes]: Trying 1 branch expressions: (i) 0.617 * * * * [regimes]: Trying to branch on i from (# #) 0.635 * * * [regime]: Found split indices: #