25.038 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.028 * * * [progress]: [2/2] Setting up program. 0.031 * [progress]: [Phase 2 of 3] Improving. 0.031 * [simplify]: Simplifying using # : (/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 0.074 * * [simplify]: iteration 0 : 5507 enodes (cost 15 ) 0.075 * [simplify]: Simplified to: (/ i (* 2.0 (* 2.0 (- (* i (* 2.0 2.0)) (/ 1.0 i))))) 0.079 * * [progress]: iteration 1 / 4 0.080 * * * [progress]: picking best candidate 0.084 * * * * [pick]: Picked # 0.084 * * * [progress]: localizing error 0.093 * * * [progress]: generating rewritten candidates 0.093 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.109 * * * [progress]: generating series expansions 0.109 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.110 * [approximate]: Taking taylor expansion of (* 0.25 (/ i (- (* 4.0 i) (* 1.0 (/ 1 i))))) in (i) around 0 0.110 * [taylor]: Taking taylor expansion of (* 0.25 (/ i (- (* 4.0 i) (* 1.0 (/ 1 i))))) in i 0.110 * [taylor]: Taking taylor expansion of 0.25 in i 0.110 * [taylor]: Taking taylor expansion of (/ i (- (* 4.0 i) (* 1.0 (/ 1 i)))) in i 0.110 * [taylor]: Taking taylor expansion of i in i 0.110 * [taylor]: Taking taylor expansion of (- (* 4.0 i) (* 1.0 (/ 1 i))) in i 0.110 * [taylor]: Taking taylor expansion of (* 4.0 i) in i 0.110 * [taylor]: Taking taylor expansion of 4.0 in i 0.110 * [taylor]: Taking taylor expansion of i in i 0.110 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 i)) in i 0.110 * [taylor]: Taking taylor expansion of 1.0 in i 0.110 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.110 * [taylor]: Taking taylor expansion of i in i 0.110 * [taylor]: Taking taylor expansion of (* 0.25 (/ i (- (* 4.0 i) (* 1.0 (/ 1 i))))) in i 0.110 * [taylor]: Taking taylor expansion of 0.25 in i 0.110 * [taylor]: Taking taylor expansion of (/ i (- (* 4.0 i) (* 1.0 (/ 1 i)))) in i 0.110 * [taylor]: Taking taylor expansion of i in i 0.110 * [taylor]: Taking taylor expansion of (- (* 4.0 i) (* 1.0 (/ 1 i))) in i 0.110 * [taylor]: Taking taylor expansion of (* 4.0 i) in i 0.110 * [taylor]: Taking taylor expansion of 4.0 in i 0.110 * [taylor]: Taking taylor expansion of i in i 0.110 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 i)) in i 0.110 * [taylor]: Taking taylor expansion of 1.0 in i 0.110 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.110 * [taylor]: Taking taylor expansion of i in i 0.111 * [approximate]: Taking taylor expansion of (/ 0.25 (* i (- (* 4.0 (/ 1 i)) (* 1.0 i)))) in (i) around 0 0.111 * [taylor]: Taking taylor expansion of (/ 0.25 (* i (- (* 4.0 (/ 1 i)) (* 1.0 i)))) in i 0.111 * [taylor]: Taking taylor expansion of 0.25 in i 0.111 * [taylor]: Taking taylor expansion of (* i (- (* 4.0 (/ 1 i)) (* 1.0 i))) in i 0.111 * [taylor]: Taking taylor expansion of i in i 0.112 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 i)) (* 1.0 i)) in i 0.112 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i 0.112 * [taylor]: Taking taylor expansion of 4.0 in i 0.112 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.112 * [taylor]: Taking taylor expansion of i in i 0.112 * [taylor]: Taking taylor expansion of (* 1.0 i) in i 0.112 * [taylor]: Taking taylor expansion of 1.0 in i 0.112 * [taylor]: Taking taylor expansion of i in i 0.112 * [taylor]: Taking taylor expansion of (/ 0.25 (* i (- (* 4.0 (/ 1 i)) (* 1.0 i)))) in i 0.112 * [taylor]: Taking taylor expansion of 0.25 in i 0.112 * [taylor]: Taking taylor expansion of (* i (- (* 4.0 (/ 1 i)) (* 1.0 i))) in i 0.112 * [taylor]: Taking taylor expansion of i in i 0.112 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 i)) (* 1.0 i)) in i 0.112 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i 0.112 * [taylor]: Taking taylor expansion of 4.0 in i 0.112 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.112 * [taylor]: Taking taylor expansion of i in i 0.112 * [taylor]: Taking taylor expansion of (* 1.0 i) in i 0.112 * [taylor]: Taking taylor expansion of 1.0 in i 0.112 * [taylor]: Taking taylor expansion of i in i 0.113 * [approximate]: Taking taylor expansion of (/ -0.25 (* i (- (* 1.0 i) (* 4.0 (/ 1 i))))) in (i) around 0 0.113 * [taylor]: Taking taylor expansion of (/ -0.25 (* i (- (* 1.0 i) (* 4.0 (/ 1 i))))) in i 0.113 * [taylor]: Taking taylor expansion of -0.25 in i 0.113 * [taylor]: Taking taylor expansion of (* i (- (* 1.0 i) (* 4.0 (/ 1 i)))) in i 0.113 * [taylor]: Taking taylor expansion of i in i 0.114 * [taylor]: Taking taylor expansion of (- (* 1.0 i) (* 4.0 (/ 1 i))) in i 0.114 * [taylor]: Taking taylor expansion of (* 1.0 i) in i 0.114 * [taylor]: Taking taylor expansion of 1.0 in i 0.114 * [taylor]: Taking taylor expansion of i in i 0.114 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i 0.114 * [taylor]: Taking taylor expansion of 4.0 in i 0.114 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.114 * [taylor]: Taking taylor expansion of i in i 0.114 * [taylor]: Taking taylor expansion of (/ -0.25 (* i (- (* 1.0 i) (* 4.0 (/ 1 i))))) in i 0.114 * [taylor]: Taking taylor expansion of -0.25 in i 0.114 * [taylor]: Taking taylor expansion of (* i (- (* 1.0 i) (* 4.0 (/ 1 i)))) in i 0.114 * [taylor]: Taking taylor expansion of i in i 0.114 * [taylor]: Taking taylor expansion of (- (* 1.0 i) (* 4.0 (/ 1 i))) in i 0.114 * [taylor]: Taking taylor expansion of (* 1.0 i) in i 0.114 * [taylor]: Taking taylor expansion of 1.0 in i 0.114 * [taylor]: Taking taylor expansion of i in i 0.114 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i 0.114 * [taylor]: Taking taylor expansion of 4.0 in i 0.114 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.114 * [taylor]: Taking taylor expansion of i in i 0.116 * * * [progress]: simplifying candidates 0.116 * [simplify]: Simplifying using # : (- (log i) (+ (log 2.0) (+ (log 2.0) (log (- (* i (* 2.0 2.0)) (/ 1.0 i)))))) (- (log i) (+ (log 2.0) (log (* 2.0 (- (* i (* 2.0 2.0)) (/ 1.0 i)))))) (- (log i) (log (* 2.0 (* 2.0 (- (* i (* 2.0 2.0)) (/ 1.0 i)))))) (log (/ i (* 2.0 (* 2.0 (- (* i (* 2.0 2.0)) (/ 1.0 i)))))) (exp (/ i (* 2.0 (* 2.0 (- (* i (* 2.0 2.0)) (/ 1.0 i)))))) (/ (* (* i i) i) (* (* (* 2.0 2.0) 2.0) (* (* (* 2.0 2.0) 2.0) (* (* (- (* i (* 2.0 2.0)) (/ 1.0 i)) (- (* i (* 2.0 2.0)) (/ 1.0 i))) (- (* i (* 2.0 2.0)) (/ 1.0 i)))))) (/ (* (* i i) i) (* (* (* 2.0 2.0) 2.0) (* (* (* 2.0 (- (* i (* 2.0 2.0)) (/ 1.0 i))) (* 2.0 (- (* i (* 2.0 2.0)) (/ 1.0 i)))) (* 2.0 (- (* i (* 2.0 2.0)) (/ 1.0 i)))))) (/ (* (* i i) i) (* (* (* 2.0 (* 2.0 (- (* i (* 2.0 2.0)) (/ 1.0 i)))) (* 2.0 (* 2.0 (- (* i (* 2.0 2.0)) (/ 1.0 i))))) (* 2.0 (* 2.0 (- (* i (* 2.0 2.0)) (/ 1.0 i)))))) (* (cbrt (/ i (* 2.0 (* 2.0 (- (* i (* 2.0 2.0)) (/ 1.0 i)))))) (cbrt (/ i (* 2.0 (* 2.0 (- (* i (* 2.0 2.0)) (/ 1.0 i))))))) (cbrt (/ i (* 2.0 (* 2.0 (- (* i (* 2.0 2.0)) (/ 1.0 i)))))) (* (* (/ i (* 2.0 (* 2.0 (- (* i (* 2.0 2.0)) (/ 1.0 i))))) (/ i (* 2.0 (* 2.0 (- (* i (* 2.0 2.0)) (/ 1.0 i)))))) (/ i (* 2.0 (* 2.0 (- (* i (* 2.0 2.0)) (/ 1.0 i)))))) (sqrt (/ i (* 2.0 (* 2.0 (- (* i (* 2.0 2.0)) (/ 1.0 i)))))) (sqrt (/ i (* 2.0 (* 2.0 (- (* i (* 2.0 2.0)) (/ 1.0 i)))))) (neg i) (neg (* 2.0 (* 2.0 (- (* i (* 2.0 2.0)) (/ 1.0 i))))) (/ (* (cbrt i) (cbrt i)) 2.0) (/ (cbrt i) (* 2.0 (- (* i (* 2.0 2.0)) (/ 1.0 i)))) (/ (sqrt i) 2.0) (/ (sqrt i) (* 2.0 (- (* i (* 2.0 2.0)) (/ 1.0 i)))) (/ 1 2.0) (/ i (* 2.0 (- (* i (* 2.0 2.0)) (/ 1.0 i)))) (/ 1 (* 2.0 (* 2.0 (- (* i (* 2.0 2.0)) (/ 1.0 i))))) (/ (* 2.0 (* 2.0 (- (* i (* 2.0 2.0)) (/ 1.0 i)))) i) (/ i 2.0) (/ (* 2.0 (* 2.0 (- (* i (* 2.0 2.0)) (/ 1.0 i)))) (cbrt i)) (/ (* 2.0 (* 2.0 (- (* i (* 2.0 2.0)) (/ 1.0 i)))) (sqrt i)) (/ (* 2.0 (* 2.0 (- (* i (* 2.0 2.0)) (/ 1.0 i)))) i) (/ i (* 2.0 (* 2.0 (- (pow (* i (* 2.0 2.0)) 3) (pow (/ 1.0 i) 3))))) (/ i (* 2.0 (* 2.0 (- (* (* i (* 2.0 2.0)) (* i (* 2.0 2.0))) (* (/ 1.0 i) (/ 1.0 i)))))) (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)) 0.145 * * [simplify]: iteration 0 : 4960 enodes (cost 463 ) 0.145 * * [simplify]: iteration 1 : 4960 enodes (cost 463 ) 0.147 * [simplify]: Simplified to: (log (/ i (- (* i (pow 2.0 4)) (* (/ 1.0 i) (* 2.0 2.0))))) (log (/ i (- (* i (pow 2.0 4)) (* (/ 1.0 i) (* 2.0 2.0))))) (log (/ i (- (* i (pow 2.0 4)) (* (/ 1.0 i) (* 2.0 2.0))))) (log (/ i (- (* i (pow 2.0 4)) (* (/ 1.0 i) (* 2.0 2.0))))) (exp (/ i (- (* i (pow 2.0 4)) (* (/ 1.0 i) (* 2.0 2.0))))) (/ (pow (/ i (- (* i (* 2.0 2.0)) (/ 1.0 i))) 3) (pow 2.0 6)) (/ (pow (/ i (- (* i (* 2.0 2.0)) (/ 1.0 i))) 3) (pow 2.0 6)) (/ (pow (/ i (- (* i (* 2.0 2.0)) (/ 1.0 i))) 3) (pow 2.0 6)) (* (cbrt (/ i (- (* i (pow 2.0 4)) (* (/ 1.0 i) (* 2.0 2.0))))) (cbrt (/ i (- (* i (pow 2.0 4)) (* (/ 1.0 i) (* 2.0 2.0)))))) (cbrt (/ i (- (* i (pow 2.0 4)) (* (/ 1.0 i) (* 2.0 2.0))))) (/ (pow (/ i (- (* i (* 2.0 2.0)) (/ 1.0 i))) 3) (pow 2.0 6)) (sqrt (/ i (- (* i (pow 2.0 4)) (* (/ 1.0 i) (* 2.0 2.0))))) (sqrt (/ i (- (* i (pow 2.0 4)) (* (/ 1.0 i) (* 2.0 2.0))))) (neg i) (* 2.0 (* 2.0 (- (/ 1.0 i) (* i (* 2.0 2.0))))) (* (/ (cbrt i) 2.0) (cbrt i)) (/ (cbrt i) (- (* i (pow 2.0 3)) (* (/ 1.0 i) 2.0))) (/ (sqrt i) 2.0) (/ (sqrt i) (- (* i (pow 2.0 3)) (* (/ 1.0 i) 2.0))) (/ 1 2.0) (/ i (- (* i (pow 2.0 3)) (* (/ 1.0 i) 2.0))) (/ 1 (- (* i (pow 2.0 4)) (* (/ 1.0 i) (* 2.0 2.0)))) (* (/ 2.0 i) (- (* i (pow 2.0 3)) (* (/ 1.0 i) 2.0))) (/ i 2.0) (* (/ 2.0 (cbrt i)) (- (* i (pow 2.0 3)) (* (/ 1.0 i) 2.0))) (* (/ 2.0 (sqrt i)) (- (* i (pow 2.0 3)) (* (/ 1.0 i) 2.0))) (* (/ 2.0 i) (- (* i (pow 2.0 3)) (* (/ 1.0 i) 2.0))) (/ i (* 2.0 (- (* (pow i 3) (pow 2.0 7)) (* (pow (/ 1.0 i) 3) 2.0)))) (/ i (- (* i (* (pow 2.0 6) i)) (* (* (/ 1.0 i) (/ 1.0 i)) (* 2.0 2.0)))) (- (* i (neg (* i 0.25))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))) (+ (/ 0.00390625 (pow i 4)) (+ (/ 0.015625 (* i i)) 0.0625)) (+ (/ 0.00390625 (pow i 4)) (+ (/ 0.015625 (* i i)) 0.0625)) 0.147 * * * [progress]: adding candidates to table 0.192 * * [progress]: iteration 2 / 4 0.192 * * * [progress]: picking best candidate 0.195 * * * * [pick]: Picked # 0.196 * * * [progress]: localizing error 0.208 * * * [progress]: generating rewritten candidates 0.208 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.213 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.220 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 0.226 * * * [progress]: generating series expansions 0.227 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.227 * [approximate]: Taking taylor expansion of (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))) in (i) around 0 0.227 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))) in i 0.227 * [taylor]: Taking taylor expansion of (* 1.0 (pow i 4)) in i 0.227 * [taylor]: Taking taylor expansion of 1.0 in i 0.227 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.227 * [taylor]: Taking taylor expansion of i in i 0.227 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 6)) in i 0.227 * [taylor]: Taking taylor expansion of 4.0 in i 0.227 * [taylor]: Taking taylor expansion of (pow i 6) in i 0.227 * [taylor]: Taking taylor expansion of i in i 0.227 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))) in i 0.227 * [taylor]: Taking taylor expansion of (* 1.0 (pow i 4)) in i 0.227 * [taylor]: Taking taylor expansion of 1.0 in i 0.227 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.227 * [taylor]: Taking taylor expansion of i in i 0.227 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 6)) in i 0.227 * [taylor]: Taking taylor expansion of 4.0 in i 0.227 * [taylor]: Taking taylor expansion of (pow i 6) in i 0.227 * [taylor]: Taking taylor expansion of i in i 0.230 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (pow i 4))) (* 4.0 (/ 1 (pow i 6)))) in (i) around 0 0.230 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (pow i 4))) (* 4.0 (/ 1 (pow i 6)))) in i 0.230 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow i 4))) in i 0.230 * [taylor]: Taking taylor expansion of 1.0 in i 0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow i 4)) in i 0.230 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.230 * [taylor]: Taking taylor expansion of i in i 0.230 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 6))) in i 0.230 * [taylor]: Taking taylor expansion of 4.0 in i 0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow i 6)) in i 0.230 * [taylor]: Taking taylor expansion of (pow i 6) in i 0.230 * [taylor]: Taking taylor expansion of i in i 0.230 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (pow i 4))) (* 4.0 (/ 1 (pow i 6)))) in i 0.230 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow i 4))) in i 0.230 * [taylor]: Taking taylor expansion of 1.0 in i 0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow i 4)) in i 0.230 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.230 * [taylor]: Taking taylor expansion of i in i 0.230 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 6))) in i 0.230 * [taylor]: Taking taylor expansion of 4.0 in i 0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow i 6)) in i 0.230 * [taylor]: Taking taylor expansion of (pow i 6) in i 0.230 * [taylor]: Taking taylor expansion of i in i 0.234 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (pow i 4))) (* 4.0 (/ 1 (pow i 6)))) in (i) around 0 0.234 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (pow i 4))) (* 4.0 (/ 1 (pow i 6)))) in i 0.235 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow i 4))) in i 0.235 * [taylor]: Taking taylor expansion of 1.0 in i 0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow i 4)) in i 0.235 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.235 * [taylor]: Taking taylor expansion of i in i 0.235 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 6))) in i 0.235 * [taylor]: Taking taylor expansion of 4.0 in i 0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow i 6)) in i 0.235 * [taylor]: Taking taylor expansion of (pow i 6) in i 0.235 * [taylor]: Taking taylor expansion of i in i 0.235 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (pow i 4))) (* 4.0 (/ 1 (pow i 6)))) in i 0.235 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow i 4))) in i 0.235 * [taylor]: Taking taylor expansion of 1.0 in i 0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow i 4)) in i 0.235 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.235 * [taylor]: Taking taylor expansion of i in i 0.235 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 6))) in i 0.235 * [taylor]: Taking taylor expansion of 4.0 in i 0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow i 6)) in i 0.235 * [taylor]: Taking taylor expansion of (pow i 6) in i 0.235 * [taylor]: Taking taylor expansion of i in i 0.239 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.239 * [approximate]: Taking taylor expansion of (neg (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) in (i) around 0 0.239 * [taylor]: Taking taylor expansion of (neg (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) in i 0.239 * [taylor]: Taking taylor expansion of (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))) in i 0.239 * [taylor]: Taking taylor expansion of (* 0.25 (pow i 2)) in i 0.239 * [taylor]: Taking taylor expansion of 0.25 in i 0.239 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.239 * [taylor]: Taking taylor expansion of i in i 0.239 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))) in i 0.239 * [taylor]: Taking taylor expansion of (* 1.0 (pow i 4)) in i 0.240 * [taylor]: Taking taylor expansion of 1.0 in i 0.240 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.240 * [taylor]: Taking taylor expansion of i in i 0.240 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 6)) in i 0.240 * [taylor]: Taking taylor expansion of 4.0 in i 0.240 * [taylor]: Taking taylor expansion of (pow i 6) in i 0.240 * [taylor]: Taking taylor expansion of i in i 0.240 * [taylor]: Taking taylor expansion of (neg (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) in i 0.240 * [taylor]: Taking taylor expansion of (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))) in i 0.240 * [taylor]: Taking taylor expansion of (* 0.25 (pow i 2)) in i 0.240 * [taylor]: Taking taylor expansion of 0.25 in i 0.240 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.240 * [taylor]: Taking taylor expansion of i in i 0.240 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))) in i 0.240 * [taylor]: Taking taylor expansion of (* 1.0 (pow i 4)) in i 0.240 * [taylor]: Taking taylor expansion of 1.0 in i 0.240 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.240 * [taylor]: Taking taylor expansion of i in i 0.240 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 6)) in i 0.240 * [taylor]: Taking taylor expansion of 4.0 in i 0.240 * [taylor]: Taking taylor expansion of (pow i 6) in i 0.240 * [taylor]: Taking taylor expansion of i in i 0.241 * [approximate]: Taking taylor expansion of (neg (+ (* 1.0 (/ 1 (pow i 4))) (+ (* 0.25 (/ 1 (pow i 2))) (* 4.0 (/ 1 (pow i 6)))))) in (i) around 0 0.241 * [taylor]: Taking taylor expansion of (neg (+ (* 1.0 (/ 1 (pow i 4))) (+ (* 0.25 (/ 1 (pow i 2))) (* 4.0 (/ 1 (pow i 6)))))) in i 0.241 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (pow i 4))) (+ (* 0.25 (/ 1 (pow i 2))) (* 4.0 (/ 1 (pow i 6))))) in i 0.241 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow i 4))) in i 0.241 * [taylor]: Taking taylor expansion of 1.0 in i 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow i 4)) in i 0.241 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.241 * [taylor]: Taking taylor expansion of i in i 0.241 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ 1 (pow i 2))) (* 4.0 (/ 1 (pow i 6)))) in i 0.241 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow i 2))) in i 0.241 * [taylor]: Taking taylor expansion of 0.25 in i 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.241 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.241 * [taylor]: Taking taylor expansion of i in i 0.241 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 6))) in i 0.241 * [taylor]: Taking taylor expansion of 4.0 in i 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow i 6)) in i 0.241 * [taylor]: Taking taylor expansion of (pow i 6) in i 0.241 * [taylor]: Taking taylor expansion of i in i 0.241 * [taylor]: Taking taylor expansion of (neg (+ (* 1.0 (/ 1 (pow i 4))) (+ (* 0.25 (/ 1 (pow i 2))) (* 4.0 (/ 1 (pow i 6)))))) in i 0.242 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (pow i 4))) (+ (* 0.25 (/ 1 (pow i 2))) (* 4.0 (/ 1 (pow i 6))))) in i 0.242 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow i 4))) in i 0.242 * [taylor]: Taking taylor expansion of 1.0 in i 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow i 4)) in i 0.242 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.242 * [taylor]: Taking taylor expansion of i in i 0.242 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ 1 (pow i 2))) (* 4.0 (/ 1 (pow i 6)))) in i 0.242 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow i 2))) in i 0.242 * [taylor]: Taking taylor expansion of 0.25 in i 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.242 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.242 * [taylor]: Taking taylor expansion of i in i 0.242 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 6))) in i 0.242 * [taylor]: Taking taylor expansion of 4.0 in i 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow i 6)) in i 0.242 * [taylor]: Taking taylor expansion of (pow i 6) in i 0.242 * [taylor]: Taking taylor expansion of i in i 0.244 * [approximate]: Taking taylor expansion of (neg (+ (* 1.0 (/ 1 (pow i 4))) (+ (* 0.25 (/ 1 (pow i 2))) (* 4.0 (/ 1 (pow i 6)))))) in (i) around 0 0.244 * [taylor]: Taking taylor expansion of (neg (+ (* 1.0 (/ 1 (pow i 4))) (+ (* 0.25 (/ 1 (pow i 2))) (* 4.0 (/ 1 (pow i 6)))))) in i 0.244 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (pow i 4))) (+ (* 0.25 (/ 1 (pow i 2))) (* 4.0 (/ 1 (pow i 6))))) in i 0.244 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow i 4))) in i 0.244 * [taylor]: Taking taylor expansion of 1.0 in i 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow i 4)) in i 0.244 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.244 * [taylor]: Taking taylor expansion of i in i 0.244 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ 1 (pow i 2))) (* 4.0 (/ 1 (pow i 6)))) in i 0.244 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow i 2))) in i 0.244 * [taylor]: Taking taylor expansion of 0.25 in i 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.244 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.244 * [taylor]: Taking taylor expansion of i in i 0.244 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 6))) in i 0.244 * [taylor]: Taking taylor expansion of 4.0 in i 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow i 6)) in i 0.244 * [taylor]: Taking taylor expansion of (pow i 6) in i 0.244 * [taylor]: Taking taylor expansion of i in i 0.244 * [taylor]: Taking taylor expansion of (neg (+ (* 1.0 (/ 1 (pow i 4))) (+ (* 0.25 (/ 1 (pow i 2))) (* 4.0 (/ 1 (pow i 6)))))) in i 0.244 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (pow i 4))) (+ (* 0.25 (/ 1 (pow i 2))) (* 4.0 (/ 1 (pow i 6))))) in i 0.244 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow i 4))) in i 0.244 * [taylor]: Taking taylor expansion of 1.0 in i 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow i 4)) in i 0.244 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.244 * [taylor]: Taking taylor expansion of i in i 0.244 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ 1 (pow i 2))) (* 4.0 (/ 1 (pow i 6)))) in i 0.244 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow i 2))) in i 0.244 * [taylor]: Taking taylor expansion of 0.25 in i 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.244 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.244 * [taylor]: Taking taylor expansion of i in i 0.244 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 6))) in i 0.244 * [taylor]: Taking taylor expansion of 4.0 in i 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow i 6)) in i 0.244 * [taylor]: Taking taylor expansion of (pow i 6) in i 0.244 * [taylor]: Taking taylor expansion of i in i 0.246 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 0.246 * [approximate]: Taking taylor expansion of (* 4.0 (pow i 6)) in (i) around 0 0.246 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 6)) in i 0.246 * [taylor]: Taking taylor expansion of 4.0 in i 0.246 * [taylor]: Taking taylor expansion of (pow i 6) in i 0.246 * [taylor]: Taking taylor expansion of i in i 0.246 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 6)) in i 0.246 * [taylor]: Taking taylor expansion of 4.0 in i 0.246 * [taylor]: Taking taylor expansion of (pow i 6) in i 0.246 * [taylor]: Taking taylor expansion of i in i 0.247 * [approximate]: Taking taylor expansion of (/ 4.0 (pow i 6)) in (i) around 0 0.247 * [taylor]: Taking taylor expansion of (/ 4.0 (pow i 6)) in i 0.247 * [taylor]: Taking taylor expansion of 4.0 in i 0.248 * [taylor]: Taking taylor expansion of (pow i 6) in i 0.248 * [taylor]: Taking taylor expansion of i in i 0.248 * [taylor]: Taking taylor expansion of (/ 4.0 (pow i 6)) in i 0.248 * [taylor]: Taking taylor expansion of 4.0 in i 0.248 * [taylor]: Taking taylor expansion of (pow i 6) in i 0.248 * [taylor]: Taking taylor expansion of i in i 0.249 * [approximate]: Taking taylor expansion of (/ 4.0 (pow i 6)) in (i) around 0 0.249 * [taylor]: Taking taylor expansion of (/ 4.0 (pow i 6)) in i 0.249 * [taylor]: Taking taylor expansion of 4.0 in i 0.249 * [taylor]: Taking taylor expansion of (pow i 6) in i 0.249 * [taylor]: Taking taylor expansion of i in i 0.249 * [taylor]: Taking taylor expansion of (/ 4.0 (pow i 6)) in i 0.249 * [taylor]: Taking taylor expansion of 4.0 in i 0.249 * [taylor]: Taking taylor expansion of (pow i 6) in i 0.249 * [taylor]: Taking taylor expansion of i in i 0.251 * * * [progress]: simplifying candidates 0.251 * [simplify]: Simplifying using # : (* (exp (* 1.0 (pow i 4))) (exp (* 4.0 (pow i 6)))) (log (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))) (exp (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))) (* (cbrt (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))) (cbrt (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) (cbrt (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))) (* (* (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))) (sqrt (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))) (sqrt (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))) (+ (pow (* 1.0 (pow i 4)) 3) (pow (* 4.0 (pow i 6)) 3)) (+ (* (* 1.0 (pow i 4)) (* 1.0 (pow i 4))) (- (* (* 4.0 (pow i 6)) (* 4.0 (pow i 6))) (* (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) (- (* (* 1.0 (pow i 4)) (* 1.0 (pow i 4))) (* (* 4.0 (pow i 6)) (* 4.0 (pow i 6)))) (- (* 1.0 (pow i 4)) (* 4.0 (pow i 6))) (/ (exp (* i (neg (* i 0.25)))) (* (exp (* 1.0 (pow i 4))) (exp (* 4.0 (pow i 6))))) (/ (exp (* i (neg (* i 0.25)))) (exp (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) (log (- (* i (neg (* i 0.25))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) (exp (- (* i (neg (* i 0.25))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) (* (cbrt (- (* i (neg (* i 0.25))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) (cbrt (- (* i (neg (* i 0.25))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))))) (cbrt (- (* i (neg (* i 0.25))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) (* (* (- (* i (neg (* i 0.25))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))) (- (* i (neg (* i 0.25))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) (- (* i (neg (* i 0.25))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) (sqrt (- (* i (neg (* i 0.25))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) (sqrt (- (* i (neg (* i 0.25))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) (- (pow (* i (neg (* i 0.25))) 3) (pow (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))) 3)) (+ (* (* i (neg (* i 0.25))) (* i (neg (* i 0.25)))) (+ (* (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))) (* (* i (neg (* i 0.25))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))))) (neg (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))) (- (* (* i (neg (* i 0.25))) (* i (neg (* i 0.25)))) (* (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) (+ (* i (neg (* i 0.25))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))) (- (* i (neg (* i 0.25))) (* 1.0 (pow i 4))) (+ (log 4.0) (* (log i) 6)) (+ (log 4.0) (* (log i) 6)) (+ (log 4.0) (log (pow i 6))) (log (* 4.0 (pow i 6))) (exp (* 4.0 (pow i 6))) (* (* (* 4.0 4.0) 4.0) (* (* (pow i 6) (pow i 6)) (pow i 6))) (* (cbrt (* 4.0 (pow i 6))) (cbrt (* 4.0 (pow i 6)))) (cbrt (* 4.0 (pow i 6))) (* (* (* 4.0 (pow i 6)) (* 4.0 (pow i 6))) (* 4.0 (pow i 6))) (sqrt (* 4.0 (pow i 6))) (sqrt (* 4.0 (pow i 6))) (* (sqrt 4.0) (pow (sqrt i) 6)) (* (sqrt 4.0) (pow (sqrt i) 6)) (* (sqrt 4.0) (sqrt (pow i 6))) (* (sqrt 4.0) (sqrt (pow i 6))) (* (sqrt 4.0) (pow i (/ 6 2))) (* (sqrt 4.0) (pow i (/ 6 2))) (* 4.0 (pow (* (cbrt i) (cbrt i)) 6)) (* 4.0 (pow (sqrt i) 6)) (* 4.0 (pow 1 6)) (* 4.0 (* (cbrt (pow i 6)) (cbrt (pow i 6)))) (* 4.0 (sqrt (pow i 6))) (* 4.0 1) (* 4.0 (pow i (/ 6 2))) (* (cbrt 4.0) (pow i 6)) (* (sqrt 4.0) (pow i 6)) (* 4.0 (pow i 6)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))) (neg (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) (neg (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) (neg (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) (* 4.0 (pow i 6)) (* 4.0 (pow i 6)) (* 4.0 (pow i 6)) 0.310 * * [simplify]: iteration 0 : 5021 enodes (cost 759 ) 0.313 * [simplify]: Simplified to: (exp (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))) (log (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))) (exp (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))) (* (cbrt (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))) (cbrt (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) (cbrt (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))) (pow (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))) 3) (sqrt (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))) (sqrt (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))) (+ (* (pow i 12) (pow 1.0 3)) (pow (* 4.0 (pow i 6)) 3)) (+ (* 1.0 (* 1.0 (pow i 8))) (* 4.0 (* (pow i 6) (- (* 4.0 (pow i 6)) (* 1.0 (pow i 4)))))) (- (* 1.0 (* 1.0 (pow i 8))) (* 4.0 (* 4.0 (pow i 12)))) (- (* 1.0 (pow i 4)) (* 4.0 (pow i 6))) (exp (- (* i (* i (neg 0.25))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) (exp (- (* i (* i (neg 0.25))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) (log (- (* i (* i (neg 0.25))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) (exp (- (* i (* i (neg 0.25))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) (* (cbrt (- (* i (* i (neg 0.25))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) (cbrt (- (* i (* i (neg 0.25))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))))) (cbrt (- (* i (* i (neg 0.25))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) (pow (- (* i (* i (neg 0.25))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))) 3) (sqrt (- (* i (* i (neg 0.25))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) (sqrt (- (* i (* i (neg 0.25))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) (- (* (pow i 6) (pow (neg 0.25) 3)) (pow (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))) 3)) (+ (* (pow i 4) (* 0.25 0.25)) (* (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))) (+ (* 1.0 (pow i 4)) (- (* 4.0 (pow i 6)) (* i (* i 0.25)))))) (- (* 4.0 (neg (pow i 6))) (* 1.0 (pow i 4))) (- (* (pow i 4) (* 0.25 0.25)) (* (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) (+ (* 1.0 (pow i 4)) (- (* 4.0 (pow i 6)) (* i (* i 0.25)))) (- (* i (* i (neg 0.25))) (* 1.0 (pow i 4))) (log (* 4.0 (pow i 6))) (log (* 4.0 (pow i 6))) (log (* 4.0 (pow i 6))) (log (* 4.0 (pow i 6))) (pow (exp 4.0) (pow i 6)) (pow (* 4.0 (pow i 6)) 3) (* (cbrt (* 4.0 (pow i 6))) (cbrt (* 4.0 (pow i 6)))) (cbrt (* 4.0 (pow i 6))) (pow (* 4.0 (pow i 6)) 3) (sqrt (* 4.0 (pow i 6))) (sqrt (* 4.0 (pow i 6))) (* (sqrt 4.0) (pow i 3)) (* (sqrt 4.0) (pow i 3)) (* (sqrt 4.0) (sqrt (pow i 6))) (* (sqrt 4.0) (sqrt (pow i 6))) (* (sqrt 4.0) (pow i 3)) (* (sqrt 4.0) (pow i 3)) (* (pow i 4) 4.0) (* 4.0 (pow i 3)) 4.0 (* (pow i 4) 4.0) (* 4.0 (sqrt (pow i 6))) 4.0 (* 4.0 (pow i 3)) (* (pow i 6) (cbrt 4.0)) (* (pow i 6) (sqrt 4.0)) (* 4.0 (pow i 6)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))) (- (* i (* i (neg 0.25))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))) (- (* i (* i (neg 0.25))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))) (- (* i (* i (neg 0.25))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))) (* 4.0 (pow i 6)) (* 4.0 (pow i 6)) (* 4.0 (pow i 6)) 0.314 * * * [progress]: adding candidates to table 0.596 * [progress]: [Phase 3 of 3] Extracting. 0.596 * * [regime]: Finding splitpoints for: (# #) 0.597 * * * [regime-changes]: Trying 1 branch expressions: (i) 0.597 * * * * [regimes]: Trying to branch on i from (# #) 0.623 * * * [regime]: Found split indices: #