8.612 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 0.021 * * [simplify]: iteration 0 : 32 enodes (cost 12 ) 0.022 * * [simplify]: iteration 1 : 172 enodes (cost 11 ) 0.027 * * [simplify]: iteration 2 : 974 enodes (cost 9 ) 0.049 * * [simplify]: iteration 3 : 5001 enodes (cost 8 ) 0.050 * [simplify]: Simplified to: (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) 0.053 * * [progress]: iteration 1 / 4 0.053 * * * [progress]: picking best candidate 0.055 * * * * [pick]: Picked # 0.055 * * * [progress]: localizing error 0.063 * * * [progress]: generating rewritten candidates 0.063 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.085 * * * [progress]: generating series expansions 0.085 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.086 * [approximate]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in (i) around 0 0.086 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in i 0.086 * [taylor]: Taking taylor expansion of 0.25 in i 0.086 * [taylor]: Taking taylor expansion of (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0)) in i 0.086 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.086 * [taylor]: Taking taylor expansion of i in i 0.086 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.086 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.086 * [taylor]: Taking taylor expansion of 4.0 in i 0.086 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.086 * [taylor]: Taking taylor expansion of i in i 0.086 * [taylor]: Taking taylor expansion of 1.0 in i 0.087 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in i 0.088 * [taylor]: Taking taylor expansion of 0.25 in i 0.088 * [taylor]: Taking taylor expansion of (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0)) in i 0.088 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.088 * [taylor]: Taking taylor expansion of i in i 0.088 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.088 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.088 * [taylor]: Taking taylor expansion of 4.0 in i 0.088 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.088 * [taylor]: Taking taylor expansion of i in i 0.088 * [taylor]: Taking taylor expansion of 1.0 in i 0.114 * [approximate]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.114 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.114 * [taylor]: Taking taylor expansion of 0.25 in i 0.114 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.114 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.114 * [taylor]: Taking taylor expansion of i in i 0.114 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.114 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.114 * [taylor]: Taking taylor expansion of 4.0 in i 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.114 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.114 * [taylor]: Taking taylor expansion of i in i 0.115 * [taylor]: Taking taylor expansion of 1.0 in i 0.116 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.116 * [taylor]: Taking taylor expansion of 0.25 in i 0.116 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.116 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.116 * [taylor]: Taking taylor expansion of i in i 0.116 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.116 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.116 * [taylor]: Taking taylor expansion of 4.0 in i 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.116 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.116 * [taylor]: Taking taylor expansion of i in i 0.117 * [taylor]: Taking taylor expansion of 1.0 in i 0.139 * [approximate]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.139 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.139 * [taylor]: Taking taylor expansion of 0.25 in i 0.139 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.139 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.139 * [taylor]: Taking taylor expansion of i in i 0.140 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.140 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.140 * [taylor]: Taking taylor expansion of 4.0 in i 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.140 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.140 * [taylor]: Taking taylor expansion of i in i 0.140 * [taylor]: Taking taylor expansion of 1.0 in i 0.141 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.141 * [taylor]: Taking taylor expansion of 0.25 in i 0.141 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.141 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.141 * [taylor]: Taking taylor expansion of i in i 0.141 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.141 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.141 * [taylor]: Taking taylor expansion of 4.0 in i 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.141 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.141 * [taylor]: Taking taylor expansion of i in i 0.142 * [taylor]: Taking taylor expansion of 1.0 in i 0.164 * * * [progress]: simplifying candidates 0.164 * [simplify]: Simplifying using # : (expm1 (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (log1p (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (- (+ (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))) (- (+ (* 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)) 0.169 * * [simplify]: iteration 0 : 319 enodes (cost 406 ) 0.175 * * [simplify]: iteration 1 : 1586 enodes (cost 285 ) 0.203 * * [simplify]: iteration 2 : 5001 enodes (cost 285 ) 0.204 * [simplify]: Simplified to: (expm1 (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (log1p (/ (* 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)))) (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))) (/ (/ (pow i 2) (* (fma (* 2.0 2.0) (pow i 2) 1.0) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) 2.0))) 2.0) (- (- (* 0.25 (pow i 2))) (fma 1.0 (pow i 4) (* 4.0 (pow i 6)))) (fma 0.00390625 (/ 1 (pow i 4)) (fma 0.015625 (/ 1 (pow i 2)) 0.0625)) (fma 0.00390625 (/ 1 (pow i 4)) (fma 0.015625 (/ 1 (pow i 2)) 0.0625)) 0.204 * * * [progress]: adding candidates to table 0.253 * * [progress]: iteration 2 / 4 0.253 * * * [progress]: picking best candidate 0.260 * * * * [pick]: Picked # 0.260 * * * [progress]: localizing error 0.269 * * * [progress]: generating rewritten candidates 0.269 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.289 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.306 * * * [progress]: generating series expansions 0.306 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.307 * [approximate]: Taking taylor expansion of (* 4.0 (/ (- (* 4.0 (pow i 2)) 1.0) i)) in (i) around 0 0.307 * [taylor]: Taking taylor expansion of (* 4.0 (/ (- (* 4.0 (pow i 2)) 1.0) i)) in i 0.307 * [taylor]: Taking taylor expansion of 4.0 in i 0.307 * [taylor]: Taking taylor expansion of (/ (- (* 4.0 (pow i 2)) 1.0) i) in i 0.307 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.307 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.307 * [taylor]: Taking taylor expansion of 4.0 in i 0.307 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.307 * [taylor]: Taking taylor expansion of i in i 0.307 * [taylor]: Taking taylor expansion of 1.0 in i 0.307 * [taylor]: Taking taylor expansion of i in i 0.309 * [taylor]: Taking taylor expansion of (* 4.0 (/ (- (* 4.0 (pow i 2)) 1.0) i)) in i 0.309 * [taylor]: Taking taylor expansion of 4.0 in i 0.309 * [taylor]: Taking taylor expansion of (/ (- (* 4.0 (pow i 2)) 1.0) i) in i 0.309 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.309 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.309 * [taylor]: Taking taylor expansion of 4.0 in i 0.309 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.309 * [taylor]: Taking taylor expansion of i in i 0.309 * [taylor]: Taking taylor expansion of 1.0 in i 0.309 * [taylor]: Taking taylor expansion of i in i 0.336 * [approximate]: Taking taylor expansion of (* 4.0 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.336 * [taylor]: Taking taylor expansion of (* 4.0 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.336 * [taylor]: Taking taylor expansion of 4.0 in i 0.336 * [taylor]: Taking taylor expansion of (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.336 * [taylor]: Taking taylor expansion of i in i 0.336 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.336 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.336 * [taylor]: Taking taylor expansion of 4.0 in i 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.336 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.336 * [taylor]: Taking taylor expansion of i in i 0.337 * [taylor]: Taking taylor expansion of 1.0 in i 0.337 * [taylor]: Taking taylor expansion of (* 4.0 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.337 * [taylor]: Taking taylor expansion of 4.0 in i 0.337 * [taylor]: Taking taylor expansion of (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.337 * [taylor]: Taking taylor expansion of i in i 0.337 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.337 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.337 * [taylor]: Taking taylor expansion of 4.0 in i 0.337 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.337 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.337 * [taylor]: Taking taylor expansion of i in i 0.338 * [taylor]: Taking taylor expansion of 1.0 in i 0.379 * [approximate]: Taking taylor expansion of (* -4.0 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.379 * [taylor]: Taking taylor expansion of (* -4.0 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.379 * [taylor]: Taking taylor expansion of -4.0 in i 0.379 * [taylor]: Taking taylor expansion of (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.379 * [taylor]: Taking taylor expansion of i in i 0.379 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.379 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.379 * [taylor]: Taking taylor expansion of 4.0 in i 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.379 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.379 * [taylor]: Taking taylor expansion of i in i 0.380 * [taylor]: Taking taylor expansion of 1.0 in i 0.380 * [taylor]: Taking taylor expansion of (* -4.0 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.380 * [taylor]: Taking taylor expansion of -4.0 in i 0.380 * [taylor]: Taking taylor expansion of (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.380 * [taylor]: Taking taylor expansion of i in i 0.380 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.380 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.380 * [taylor]: Taking taylor expansion of 4.0 in i 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.380 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.380 * [taylor]: Taking taylor expansion of i in i 0.380 * [taylor]: Taking taylor expansion of 1.0 in i 0.424 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.424 * [approximate]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in (i) around 0 0.425 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in i 0.425 * [taylor]: Taking taylor expansion of 0.25 in i 0.425 * [taylor]: Taking taylor expansion of (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0)) in i 0.425 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.425 * [taylor]: Taking taylor expansion of i in i 0.425 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.425 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.425 * [taylor]: Taking taylor expansion of 4.0 in i 0.425 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.425 * [taylor]: Taking taylor expansion of i in i 0.425 * [taylor]: Taking taylor expansion of 1.0 in i 0.426 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in i 0.426 * [taylor]: Taking taylor expansion of 0.25 in i 0.426 * [taylor]: Taking taylor expansion of (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0)) in i 0.426 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.426 * [taylor]: Taking taylor expansion of i in i 0.426 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.426 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.426 * [taylor]: Taking taylor expansion of 4.0 in i 0.426 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.426 * [taylor]: Taking taylor expansion of i in i 0.426 * [taylor]: Taking taylor expansion of 1.0 in i 0.449 * [approximate]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.449 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.449 * [taylor]: Taking taylor expansion of 0.25 in i 0.449 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.449 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.449 * [taylor]: Taking taylor expansion of i in i 0.449 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.449 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.449 * [taylor]: Taking taylor expansion of 4.0 in i 0.449 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.449 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.449 * [taylor]: Taking taylor expansion of i in i 0.449 * [taylor]: Taking taylor expansion of 1.0 in i 0.451 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.451 * [taylor]: Taking taylor expansion of 0.25 in i 0.451 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.451 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.451 * [taylor]: Taking taylor expansion of i in i 0.451 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.451 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.451 * [taylor]: Taking taylor expansion of 4.0 in i 0.451 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.451 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.451 * [taylor]: Taking taylor expansion of i in i 0.451 * [taylor]: Taking taylor expansion of 1.0 in i 0.474 * [approximate]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.474 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.474 * [taylor]: Taking taylor expansion of 0.25 in i 0.474 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.474 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.474 * [taylor]: Taking taylor expansion of i in i 0.474 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.474 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.474 * [taylor]: Taking taylor expansion of 4.0 in i 0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.474 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.474 * [taylor]: Taking taylor expansion of i in i 0.474 * [taylor]: Taking taylor expansion of 1.0 in i 0.476 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.476 * [taylor]: Taking taylor expansion of 0.25 in i 0.476 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.476 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.476 * [taylor]: Taking taylor expansion of i in i 0.476 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.476 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.476 * [taylor]: Taking taylor expansion of 4.0 in i 0.476 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.476 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.476 * [taylor]: Taking taylor expansion of i in i 0.476 * [taylor]: Taking taylor expansion of 1.0 in i 0.503 * * * [progress]: simplifying candidates 0.504 * [simplify]: Simplifying using # : (expm1 (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)) (log1p (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)) (- (+ (log (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (+ (log 2.0) (log 2.0))) (log i)) (- (+ (log (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (log (* 2.0 2.0))) (log i)) (- (log (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (log i)) (log (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)) (exp (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)) (/ (* (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (* (* (* 2.0 2.0) 2.0) (* (* 2.0 2.0) 2.0))) (* (* i i) i)) (/ (* (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (* (* (* 2.0 2.0) (* 2.0 2.0)) (* 2.0 2.0))) (* (* 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)) (* (cbrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)) (cbrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))) (cbrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)) (* (* (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i) (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)) (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)) (sqrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)) (sqrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)) (- (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (- i) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* (cbrt i) (cbrt i))) (/ (* 2.0 2.0) (cbrt i)) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) (sqrt i)) (/ (* 2.0 2.0) (sqrt i)) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) 1) (/ (* 2.0 2.0) i) (/ 1 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)) (* (cbrt i) (cbrt i))) (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (sqrt i)) (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) 1) (/ i (* 2.0 2.0)) (* i (+ (* (* (* 2.0 i) (* 2.0 i)) (* (* 2.0 i) (* 2.0 i))) (+ (* 1.0 1.0) (* (* (* 2.0 i) (* 2.0 i)) 1.0)))) (* i (+ (* (* 2.0 i) (* 2.0 i)) 1.0)) (expm1 (/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))) (log1p (/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) 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))) (- (log i) (log (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))) (log (/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))) (exp (/ i (/ (* (- (* (* 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 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 2.0)) i) (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)) (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))) (* (cbrt (/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))) (cbrt (/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)))) (cbrt (/ 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)) i))) (sqrt (/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))) (sqrt (/ 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)) (/ (* (cbrt i) (cbrt i)) (* (cbrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)) (cbrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)))) (/ (cbrt i) (cbrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))) (/ (* (cbrt i) (cbrt i)) (sqrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))) (/ (cbrt i) (sqrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))) (/ (* (cbrt i) (cbrt i)) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* (cbrt i) (cbrt i)))) (/ (cbrt i) (/ (* 2.0 2.0) (cbrt i))) (/ (* (cbrt i) (cbrt i)) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) (sqrt i))) (/ (cbrt i) (/ (* 2.0 2.0) (sqrt i))) (/ (* (cbrt i) (cbrt i)) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) 1)) (/ (cbrt i) (/ (* 2.0 2.0) i)) (/ (* (cbrt i) (cbrt i)) 1) (/ (cbrt i) (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)) (/ (* (cbrt i) (cbrt i)) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (/ (cbrt i) (/ 1 i)) (/ (sqrt i) (* (cbrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)) (cbrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)))) (/ (sqrt i) (cbrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))) (/ (sqrt i) (sqrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))) (/ (sqrt i) (sqrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))) (/ (sqrt i) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* (cbrt i) (cbrt i)))) (/ (sqrt i) (/ (* 2.0 2.0) (cbrt i))) (/ (sqrt i) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) (sqrt i))) (/ (sqrt i) (/ (* 2.0 2.0) (sqrt i))) (/ (sqrt i) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) 1)) (/ (sqrt i) (/ (* 2.0 2.0) i)) (/ (sqrt i) 1) (/ (sqrt i) (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)) (/ (sqrt i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (/ (sqrt i) (/ 1 i)) (/ 1 (* (cbrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)) (cbrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)))) (/ i (cbrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))) (/ 1 (sqrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))) (/ i (sqrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))) (/ 1 (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* (cbrt i) (cbrt i)))) (/ i (/ (* 2.0 2.0) (cbrt i))) (/ 1 (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) (sqrt i))) (/ i (/ (* 2.0 2.0) (sqrt i))) (/ 1 (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) 1)) (/ i (/ (* 2.0 2.0) i)) (/ 1 1) (/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)) (/ 1 (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (/ i (/ 1 i)) (/ 1 (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)) (/ (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i) i) (/ i (* (cbrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)) (cbrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)))) (/ i (sqrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))) (/ i (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* (cbrt i) (cbrt i)))) (/ i (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) (sqrt i))) (/ i (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) 1)) (/ i 1) (/ 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)) i) (cbrt i)) (/ (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i) (sqrt i)) (/ (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i) i) (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (- (* 16.0 i) (* 4.0 (/ 1 i))) (- (* 16.0 i) (* 4.0 (/ 1 i))) (- (* 16.0 i) (* 4.0 (/ 1 i))) (- (+ (* 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)) 0.511 * * [simplify]: iteration 0 : 456 enodes (cost 990 ) 0.519 * * [simplify]: iteration 1 : 2308 enodes (cost 841 ) 0.558 * * [simplify]: iteration 2 : 5002 enodes (cost 834 ) 0.563 * [simplify]: Simplified to: (expm1 (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)) (log1p (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)) (log (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)) (log (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)) (log (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)) (log (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)) (exp (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)) (pow (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i) 3) (pow (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i) 3) (pow (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i) 3) (* (cbrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)) (cbrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))) (cbrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)) (pow (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i) 3) (sqrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)) (sqrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)) (- (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (- i) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* (cbrt i) (cbrt i))) (/ (* 2.0 2.0) (cbrt i)) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) (sqrt i)) (/ (* 2.0 2.0) (sqrt i)) (- (* (* 2.0 i) (* 2.0 i)) 1.0) (/ (* 2.0 2.0) i) (/ 1 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)) (* (cbrt i) (cbrt i))) (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (sqrt i)) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (/ i (* 2.0 2.0)) (fma (* i (pow (* 2.0 i) 3)) (* 2.0 i) (* (* i 1.0) (fma (* 2.0 i) (* 2.0 i) 1.0))) (* (fma (* 2.0 i) (* 2.0 i) 1.0) i) (expm1 (/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))) (log1p (/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))) (log (/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))) (log (/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))) (log (/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))) (log (/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))) (log (/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))) (exp (/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))) (pow (/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)) 3) (pow (/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)) 3) (pow (/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)) 3) (pow (/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)) 3) (* (cbrt (/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))) (cbrt (/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)))) (cbrt (/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))) (pow (/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)) 3) (sqrt (/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))) (sqrt (/ 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)) (/ (* (cbrt i) (cbrt i)) (* (cbrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)) (cbrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)))) (/ (cbrt i) (cbrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))) (/ (* (cbrt i) (cbrt i)) (sqrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))) (/ (cbrt i) (sqrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))) (/ (* (cbrt i) (cbrt i)) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* (cbrt i) (cbrt i)))) (/ (* (cbrt i) (cbrt i)) (* 2.0 2.0)) (/ (* (cbrt i) (cbrt i)) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) (sqrt i))) (/ (cbrt i) (/ (* 2.0 2.0) (sqrt i))) (/ (cbrt i) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) (cbrt i))) (/ i (/ (* 2.0 2.0) (cbrt i))) (* (cbrt i) (cbrt i)) (/ (cbrt i) (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)) (/ (* (cbrt i) (cbrt i)) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (* (cbrt i) i) (/ (sqrt i) (* (cbrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)) (cbrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)))) (/ (sqrt i) (cbrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))) (/ (sqrt i) (sqrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))) (/ (sqrt i) (sqrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))) (/ (sqrt i) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* (cbrt i) (cbrt i)))) (/ (sqrt i) (/ (* 2.0 2.0) (cbrt i))) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)) (/ (sqrt i) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (/ (* 2.0 2.0) (sqrt i))) (sqrt i) (/ (sqrt i) (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)) (/ (sqrt i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (* (sqrt i) i) (/ 1 (* (cbrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)) (cbrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)))) (/ i (cbrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))) (/ 1 (sqrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))) (/ i (sqrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))) (/ 1 (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* (cbrt i) (cbrt i)))) (/ i (/ (* 2.0 2.0) (cbrt i))) (/ 1 (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) (sqrt i))) (/ i (/ (* 2.0 2.0) (sqrt i))) (/ 1 (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (/ (* 2.0 2.0) i)) 1 (/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)) (/ 1 (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (pow i 2) (/ 1 (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)) (/ (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i) i) (/ i (* (cbrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)) (cbrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)))) (/ i (sqrt (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))) (/ i (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* (cbrt i) (cbrt i)))) (/ i (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) (sqrt i))) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 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)) i) (cbrt i)) (/ (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i) (sqrt i)) (/ (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i) i) (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (- (* 16.0 i) (* 4.0 (/ 1 i))) (- (* 16.0 i) (* 4.0 (/ 1 i))) (- (* 16.0 i) (* 4.0 (/ 1 i))) (- (- (* 0.25 (pow i 2))) (fma 1.0 (pow i 4) (* 4.0 (pow i 6)))) (fma 0.00390625 (/ 1 (pow i 4)) (fma 0.015625 (/ 1 (pow i 2)) 0.0625)) (fma 0.00390625 (/ 1 (pow i 4)) (fma 0.015625 (/ 1 (pow i 2)) 0.0625)) 0.563 * * * [progress]: adding candidates to table 0.708 * * [progress]: iteration 3 / 4 0.708 * * * [progress]: picking best candidate 0.710 * * * * [pick]: Picked # 0.710 * * * [progress]: localizing error 0.717 * * * [progress]: generating rewritten candidates 0.717 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.722 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.725 * * * [progress]: generating series expansions 0.725 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.726 * [approximate]: Taking taylor expansion of (/ i (- (* 16.0 i) (* 4.0 (/ 1 i)))) in (i) around 0 0.726 * [taylor]: Taking taylor expansion of (/ i (- (* 16.0 i) (* 4.0 (/ 1 i)))) in i 0.726 * [taylor]: Taking taylor expansion of i in i 0.726 * [taylor]: Taking taylor expansion of (- (* 16.0 i) (* 4.0 (/ 1 i))) in i 0.726 * [taylor]: Taking taylor expansion of (* 16.0 i) in i 0.726 * [taylor]: Taking taylor expansion of 16.0 in i 0.726 * [taylor]: Taking taylor expansion of i in i 0.726 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i 0.726 * [taylor]: Taking taylor expansion of 4.0 in i 0.726 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.726 * [taylor]: Taking taylor expansion of i in i 0.728 * [taylor]: Taking taylor expansion of (/ i (- (* 16.0 i) (* 4.0 (/ 1 i)))) in i 0.728 * [taylor]: Taking taylor expansion of i in i 0.728 * [taylor]: Taking taylor expansion of (- (* 16.0 i) (* 4.0 (/ 1 i))) in i 0.728 * [taylor]: Taking taylor expansion of (* 16.0 i) in i 0.728 * [taylor]: Taking taylor expansion of 16.0 in i 0.728 * [taylor]: Taking taylor expansion of i in i 0.728 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i 0.728 * [taylor]: Taking taylor expansion of 4.0 in i 0.728 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.728 * [taylor]: Taking taylor expansion of i in i 0.747 * [approximate]: Taking taylor expansion of (/ 1 (* (- (* 16.0 (/ 1 i)) (* 4.0 i)) i)) in (i) around 0 0.747 * [taylor]: Taking taylor expansion of (/ 1 (* (- (* 16.0 (/ 1 i)) (* 4.0 i)) i)) in i 0.747 * [taylor]: Taking taylor expansion of (* (- (* 16.0 (/ 1 i)) (* 4.0 i)) i) in i 0.747 * [taylor]: Taking taylor expansion of (- (* 16.0 (/ 1 i)) (* 4.0 i)) in i 0.747 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 i)) in i 0.747 * [taylor]: Taking taylor expansion of 16.0 in i 0.747 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.747 * [taylor]: Taking taylor expansion of i in i 0.748 * [taylor]: Taking taylor expansion of (* 4.0 i) in i 0.748 * [taylor]: Taking taylor expansion of 4.0 in i 0.748 * [taylor]: Taking taylor expansion of i in i 0.748 * [taylor]: Taking taylor expansion of i in i 0.751 * [taylor]: Taking taylor expansion of (/ 1 (* (- (* 16.0 (/ 1 i)) (* 4.0 i)) i)) in i 0.751 * [taylor]: Taking taylor expansion of (* (- (* 16.0 (/ 1 i)) (* 4.0 i)) i) in i 0.751 * [taylor]: Taking taylor expansion of (- (* 16.0 (/ 1 i)) (* 4.0 i)) in i 0.751 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 i)) in i 0.751 * [taylor]: Taking taylor expansion of 16.0 in i 0.751 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.751 * [taylor]: Taking taylor expansion of i in i 0.751 * [taylor]: Taking taylor expansion of (* 4.0 i) in i 0.751 * [taylor]: Taking taylor expansion of 4.0 in i 0.751 * [taylor]: Taking taylor expansion of i in i 0.751 * [taylor]: Taking taylor expansion of i in i 0.779 * [approximate]: Taking taylor expansion of (/ -1 (* i (- (* 4.0 i) (* 16.0 (/ 1 i))))) in (i) around 0 0.780 * [taylor]: Taking taylor expansion of (/ -1 (* i (- (* 4.0 i) (* 16.0 (/ 1 i))))) in i 0.780 * [taylor]: Taking taylor expansion of -1 in i 0.780 * [taylor]: Taking taylor expansion of (* i (- (* 4.0 i) (* 16.0 (/ 1 i)))) in i 0.780 * [taylor]: Taking taylor expansion of i in i 0.780 * [taylor]: Taking taylor expansion of (- (* 4.0 i) (* 16.0 (/ 1 i))) in i 0.780 * [taylor]: Taking taylor expansion of (* 4.0 i) in i 0.780 * [taylor]: Taking taylor expansion of 4.0 in i 0.780 * [taylor]: Taking taylor expansion of i in i 0.780 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 i)) in i 0.780 * [taylor]: Taking taylor expansion of 16.0 in i 0.780 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.780 * [taylor]: Taking taylor expansion of i in i 0.784 * [taylor]: Taking taylor expansion of (/ -1 (* i (- (* 4.0 i) (* 16.0 (/ 1 i))))) in i 0.784 * [taylor]: Taking taylor expansion of -1 in i 0.784 * [taylor]: Taking taylor expansion of (* i (- (* 4.0 i) (* 16.0 (/ 1 i)))) in i 0.784 * [taylor]: Taking taylor expansion of i in i 0.784 * [taylor]: Taking taylor expansion of (- (* 4.0 i) (* 16.0 (/ 1 i))) in i 0.784 * [taylor]: Taking taylor expansion of (* 4.0 i) in i 0.784 * [taylor]: Taking taylor expansion of 4.0 in i 0.784 * [taylor]: Taking taylor expansion of i in i 0.784 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 i)) in i 0.784 * [taylor]: Taking taylor expansion of 16.0 in i 0.784 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.785 * [taylor]: Taking taylor expansion of i in i 0.811 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.811 * [approximate]: Taking taylor expansion of (- (* 16.0 i) (* 4.0 (/ 1 i))) in (i) around 0 0.811 * [taylor]: Taking taylor expansion of (- (* 16.0 i) (* 4.0 (/ 1 i))) in i 0.811 * [taylor]: Taking taylor expansion of (* 16.0 i) in i 0.811 * [taylor]: Taking taylor expansion of 16.0 in i 0.811 * [taylor]: Taking taylor expansion of i in i 0.811 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i 0.811 * [taylor]: Taking taylor expansion of 4.0 in i 0.811 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.811 * [taylor]: Taking taylor expansion of i in i 0.811 * [taylor]: Taking taylor expansion of (- (* 16.0 i) (* 4.0 (/ 1 i))) in i 0.811 * [taylor]: Taking taylor expansion of (* 16.0 i) in i 0.811 * [taylor]: Taking taylor expansion of 16.0 in i 0.811 * [taylor]: Taking taylor expansion of i in i 0.811 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i 0.811 * [taylor]: Taking taylor expansion of 4.0 in i 0.811 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.811 * [taylor]: Taking taylor expansion of i in i 0.831 * [approximate]: Taking taylor expansion of (- (* 16.0 (/ 1 i)) (* 4.0 i)) in (i) around 0 0.831 * [taylor]: Taking taylor expansion of (- (* 16.0 (/ 1 i)) (* 4.0 i)) in i 0.831 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 i)) in i 0.831 * [taylor]: Taking taylor expansion of 16.0 in i 0.831 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.831 * [taylor]: Taking taylor expansion of i in i 0.831 * [taylor]: Taking taylor expansion of (* 4.0 i) in i 0.831 * [taylor]: Taking taylor expansion of 4.0 in i 0.831 * [taylor]: Taking taylor expansion of i in i 0.831 * [taylor]: Taking taylor expansion of (- (* 16.0 (/ 1 i)) (* 4.0 i)) in i 0.831 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 i)) in i 0.831 * [taylor]: Taking taylor expansion of 16.0 in i 0.831 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.831 * [taylor]: Taking taylor expansion of i in i 0.832 * [taylor]: Taking taylor expansion of (* 4.0 i) in i 0.832 * [taylor]: Taking taylor expansion of 4.0 in i 0.832 * [taylor]: Taking taylor expansion of i in i 0.855 * [approximate]: Taking taylor expansion of (- (* 4.0 i) (* 16.0 (/ 1 i))) in (i) around 0 0.855 * [taylor]: Taking taylor expansion of (- (* 4.0 i) (* 16.0 (/ 1 i))) in i 0.855 * [taylor]: Taking taylor expansion of (* 4.0 i) in i 0.855 * [taylor]: Taking taylor expansion of 4.0 in i 0.855 * [taylor]: Taking taylor expansion of i in i 0.855 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 i)) in i 0.855 * [taylor]: Taking taylor expansion of 16.0 in i 0.855 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.855 * [taylor]: Taking taylor expansion of i in i 0.856 * [taylor]: Taking taylor expansion of (- (* 4.0 i) (* 16.0 (/ 1 i))) in i 0.856 * [taylor]: Taking taylor expansion of (* 4.0 i) in i 0.856 * [taylor]: Taking taylor expansion of 4.0 in i 0.856 * [taylor]: Taking taylor expansion of i in i 0.856 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 i)) in i 0.856 * [taylor]: Taking taylor expansion of 16.0 in i 0.856 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.856 * [taylor]: Taking taylor expansion of i in i 0.875 * * * [progress]: simplifying candidates 0.876 * [simplify]: Simplifying using # : (expm1 (/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))) (log1p (/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))) (- (log i) (log (- (* 16.0 i) (* 4.0 (/ 1 i))))) (log (/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))) (exp (/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))) (/ (* (* i i) i) (* (* (- (* 16.0 i) (* 4.0 (/ 1 i))) (- (* 16.0 i) (* 4.0 (/ 1 i)))) (- (* 16.0 i) (* 4.0 (/ 1 i))))) (* (cbrt (/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))) (cbrt (/ i (- (* 16.0 i) (* 4.0 (/ 1 i)))))) (cbrt (/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))) (* (* (/ i (- (* 16.0 i) (* 4.0 (/ 1 i)))) (/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))) (/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))) (sqrt (/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))) (sqrt (/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))) (- i) (- (- (* 16.0 i) (* 4.0 (/ 1 i)))) (/ (* (cbrt i) (cbrt i)) (* (cbrt (- (* 16.0 i) (* 4.0 (/ 1 i)))) (cbrt (- (* 16.0 i) (* 4.0 (/ 1 i)))))) (/ (cbrt i) (cbrt (- (* 16.0 i) (* 4.0 (/ 1 i))))) (/ (* (cbrt i) (cbrt i)) (sqrt (- (* 16.0 i) (* 4.0 (/ 1 i))))) (/ (cbrt i) (sqrt (- (* 16.0 i) (* 4.0 (/ 1 i))))) (/ (* (cbrt i) (cbrt i)) 1) (/ (cbrt i) (- (* 16.0 i) (* 4.0 (/ 1 i)))) (/ (sqrt i) (* (cbrt (- (* 16.0 i) (* 4.0 (/ 1 i)))) (cbrt (- (* 16.0 i) (* 4.0 (/ 1 i)))))) (/ (sqrt i) (cbrt (- (* 16.0 i) (* 4.0 (/ 1 i))))) (/ (sqrt i) (sqrt (- (* 16.0 i) (* 4.0 (/ 1 i))))) (/ (sqrt i) (sqrt (- (* 16.0 i) (* 4.0 (/ 1 i))))) (/ (sqrt i) 1) (/ (sqrt i) (- (* 16.0 i) (* 4.0 (/ 1 i)))) (/ 1 (* (cbrt (- (* 16.0 i) (* 4.0 (/ 1 i)))) (cbrt (- (* 16.0 i) (* 4.0 (/ 1 i)))))) (/ i (cbrt (- (* 16.0 i) (* 4.0 (/ 1 i))))) (/ 1 (sqrt (- (* 16.0 i) (* 4.0 (/ 1 i))))) (/ i (sqrt (- (* 16.0 i) (* 4.0 (/ 1 i))))) (/ 1 1) (/ i (- (* 16.0 i) (* 4.0 (/ 1 i)))) (/ 1 (- (* 16.0 i) (* 4.0 (/ 1 i)))) (/ (- (* 16.0 i) (* 4.0 (/ 1 i))) i) (/ i (* (cbrt (- (* 16.0 i) (* 4.0 (/ 1 i)))) (cbrt (- (* 16.0 i) (* 4.0 (/ 1 i)))))) (/ i (sqrt (- (* 16.0 i) (* 4.0 (/ 1 i))))) (/ i 1) (/ (- (* 16.0 i) (* 4.0 (/ 1 i))) (cbrt i)) (/ (- (* 16.0 i) (* 4.0 (/ 1 i))) (sqrt i)) (/ (- (* 16.0 i) (* 4.0 (/ 1 i))) i) (/ i (- (pow (* 16.0 i) 3) (pow (* 4.0 (/ 1 i)) 3))) (/ i (- (* (* 16.0 i) (* 16.0 i)) (* (* 4.0 (/ 1 i)) (* 4.0 (/ 1 i))))) (fma 16.0 i (- (* (/ 1 i) 4.0))) (fma (- (/ 1 i)) 4.0 (* (/ 1 i) 4.0)) (expm1 (- (* 16.0 i) (* 4.0 (/ 1 i)))) (log1p (- (* 16.0 i) (* 4.0 (/ 1 i)))) (- (* 4.0 (/ 1 i))) (/ (exp (* 16.0 i)) (exp (* 4.0 (/ 1 i)))) (log (- (* 16.0 i) (* 4.0 (/ 1 i)))) (exp (- (* 16.0 i) (* 4.0 (/ 1 i)))) (* (cbrt (- (* 16.0 i) (* 4.0 (/ 1 i)))) (cbrt (- (* 16.0 i) (* 4.0 (/ 1 i))))) (cbrt (- (* 16.0 i) (* 4.0 (/ 1 i)))) (* (* (- (* 16.0 i) (* 4.0 (/ 1 i))) (- (* 16.0 i) (* 4.0 (/ 1 i)))) (- (* 16.0 i) (* 4.0 (/ 1 i)))) (sqrt (- (* 16.0 i) (* 4.0 (/ 1 i)))) (sqrt (- (* 16.0 i) (* 4.0 (/ 1 i)))) (- (pow (* 16.0 i) 3) (pow (* 4.0 (/ 1 i)) 3)) (+ (* (* 16.0 i) (* 16.0 i)) (+ (* (* 4.0 (/ 1 i)) (* 4.0 (/ 1 i))) (* (* 16.0 i) (* 4.0 (/ 1 i))))) (- (* 4.0 (/ 1 i))) (- (* (* 16.0 i) (* 16.0 i)) (* (* 4.0 (/ 1 i)) (* 4.0 (/ 1 i)))) (+ (* 16.0 i) (* 4.0 (/ 1 i))) (- (* 4.0 (/ 1 i))) (- (+ (* 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)) (- (* 16.0 i) (* 4.0 (/ 1 i))) (- (* 16.0 i) (* 4.0 (/ 1 i))) (- (* 16.0 i) (* 4.0 (/ 1 i))) 0.881 * * [simplify]: iteration 0 : 247 enodes (cost 430 ) 0.885 * * [simplify]: iteration 1 : 957 enodes (cost 391 ) 0.907 * * [simplify]: iteration 2 : 4947 enodes (cost 386 ) 1.085 * * [simplify]: iteration 3 : 5001 enodes (cost 386 ) 1.087 * [simplify]: Simplified to: (expm1 (/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))) (log1p (/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))) (log (/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))) (log (/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))) (exp (/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))) (pow (/ i (- (* 16.0 i) (* 4.0 (/ 1 i)))) 3) (* (cbrt (/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))) (cbrt (/ i (- (* 16.0 i) (* 4.0 (/ 1 i)))))) (cbrt (/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))) (pow (/ i (- (* 16.0 i) (* 4.0 (/ 1 i)))) 3) (sqrt (/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))) (sqrt (/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))) (- i) (+ (- (* 16.0 i)) (/ 4.0 i)) (/ (* (cbrt i) (cbrt i)) (* (cbrt (- (* 16.0 i) (* 4.0 (/ 1 i)))) (cbrt (- (* 16.0 i) (* 4.0 (/ 1 i)))))) (/ (cbrt i) (cbrt (- (* 16.0 i) (* 4.0 (/ 1 i))))) (/ (* (cbrt i) (cbrt i)) (sqrt (- (* 16.0 i) (* 4.0 (/ 1 i))))) (/ (cbrt i) (sqrt (- (* 16.0 i) (* 4.0 (/ 1 i))))) (* (cbrt i) (cbrt i)) (/ (cbrt i) (- (* 16.0 i) (* 4.0 (/ 1 i)))) (/ (sqrt i) (* (cbrt (- (* 16.0 i) (* 4.0 (/ 1 i)))) (cbrt (- (* 16.0 i) (* 4.0 (/ 1 i)))))) (/ (sqrt i) (cbrt (- (* 16.0 i) (* 4.0 (/ 1 i))))) (/ (sqrt i) (sqrt (- (* 16.0 i) (* 4.0 (/ 1 i))))) (/ (sqrt i) (sqrt (- (* 16.0 i) (* 4.0 (/ 1 i))))) (sqrt i) (/ (sqrt i) (- (* 16.0 i) (* 4.0 (/ 1 i)))) (/ 1 (* (cbrt (- (* 16.0 i) (* 4.0 (/ 1 i)))) (cbrt (- (* 16.0 i) (* 4.0 (/ 1 i)))))) (/ i (cbrt (- (* 16.0 i) (* 4.0 (/ 1 i))))) (/ 1 (sqrt (- (* 16.0 i) (* 4.0 (/ 1 i))))) (/ i (sqrt (- (* 16.0 i) (* 4.0 (/ 1 i))))) 1 (/ i (- (* 16.0 i) (* 4.0 (/ 1 i)))) (/ 1 (- (* 16.0 i) (* 4.0 (/ 1 i)))) (/ (- (* 16.0 i) (* 4.0 (/ 1 i))) i) (/ i (* (cbrt (- (* 16.0 i) (* 4.0 (/ 1 i)))) (cbrt (- (* 16.0 i) (* 4.0 (/ 1 i)))))) (/ i (sqrt (- (* 16.0 i) (* 4.0 (/ 1 i))))) i (/ (- (* 16.0 i) (* 4.0 (/ 1 i))) (cbrt i)) (/ (- (* 16.0 i) (* 4.0 (/ 1 i))) (sqrt i)) (/ (- (* 16.0 i) (* 4.0 (/ 1 i))) i) (/ i (- (pow (* 16.0 i) 3) (pow (* 4.0 (/ 1 i)) 3))) (/ i (fma (/ (- 4.0) i) (/ 4.0 i) (* (* 16.0 i) (* 16.0 i)))) (- (* 16.0 i) (* 4.0 (/ 1 i))) (- (/ 4.0 i) (/ 4.0 i)) (expm1 (- (* 16.0 i) (* 4.0 (/ 1 i)))) (log1p (- (* 16.0 i) (* 4.0 (/ 1 i)))) (/ (- 4.0) i) (exp (- (* 16.0 i) (* 4.0 (/ 1 i)))) (log (- (* 16.0 i) (* 4.0 (/ 1 i)))) (exp (- (* 16.0 i) (* 4.0 (/ 1 i)))) (* (cbrt (- (* 16.0 i) (* 4.0 (/ 1 i)))) (cbrt (- (* 16.0 i) (* 4.0 (/ 1 i))))) (cbrt (- (* 16.0 i) (* 4.0 (/ 1 i)))) (pow (- (* 16.0 i) (* 4.0 (/ 1 i))) 3) (sqrt (- (* 16.0 i) (* 4.0 (/ 1 i)))) (sqrt (- (* 16.0 i) (* 4.0 (/ 1 i)))) (- (pow (* 16.0 i) 3) (pow (* 4.0 (/ 1 i)) 3)) (fma (pow i 2) (* 16.0 16.0) (/ (* 4.0 (fma 16.0 i (* 4.0 (/ 1 i)))) i)) (/ (- 4.0) i) (fma (/ (- 4.0) i) (/ 4.0 i) (* (* 16.0 i) (* 16.0 i))) (fma 16.0 i (* 4.0 (/ 1 i))) (/ (- 4.0) i) (- (- (* 0.25 (pow i 2))) (fma 1.0 (pow i 4) (* 4.0 (pow i 6)))) (fma 0.00390625 (/ 1 (pow i 4)) (fma 0.015625 (/ 1 (pow i 2)) 0.0625)) (fma 0.00390625 (/ 1 (pow i 4)) (fma 0.015625 (/ 1 (pow i 2)) 0.0625)) (- (* 16.0 i) (* 4.0 (/ 1 i))) (- (* 16.0 i) (* 4.0 (/ 1 i))) (- (* 16.0 i) (* 4.0 (/ 1 i))) 1.088 * * * [progress]: adding candidates to table 1.189 * * [progress]: iteration 4 / 4 1.189 * * * [progress]: picking best candidate 1.190 * * * * [pick]: Picked # 1.190 * * * [progress]: localizing error 1.198 * * * [progress]: generating rewritten candidates 1.198 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 1.217 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.296 * * * [progress]: generating series expansions 1.296 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 1.296 * [approximate]: Taking taylor expansion of (* 0.25 (/ i (- (* 4.0 (pow i 2)) 1.0))) in (i) around 0 1.297 * [taylor]: Taking taylor expansion of (* 0.25 (/ i (- (* 4.0 (pow i 2)) 1.0))) in i 1.297 * [taylor]: Taking taylor expansion of 0.25 in i 1.297 * [taylor]: Taking taylor expansion of (/ i (- (* 4.0 (pow i 2)) 1.0)) in i 1.297 * [taylor]: Taking taylor expansion of i in i 1.297 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 1.297 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 1.297 * [taylor]: Taking taylor expansion of 4.0 in i 1.297 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.297 * [taylor]: Taking taylor expansion of i in i 1.297 * [taylor]: Taking taylor expansion of 1.0 in i 1.298 * [taylor]: Taking taylor expansion of (* 0.25 (/ i (- (* 4.0 (pow i 2)) 1.0))) in i 1.298 * [taylor]: Taking taylor expansion of 0.25 in i 1.298 * [taylor]: Taking taylor expansion of (/ i (- (* 4.0 (pow i 2)) 1.0)) in i 1.298 * [taylor]: Taking taylor expansion of i in i 1.298 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 1.298 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 1.298 * [taylor]: Taking taylor expansion of 4.0 in i 1.298 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.298 * [taylor]: Taking taylor expansion of i in i 1.298 * [taylor]: Taking taylor expansion of 1.0 in i 1.322 * [approximate]: Taking taylor expansion of (/ 0.25 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 1.322 * [taylor]: Taking taylor expansion of (/ 0.25 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 1.322 * [taylor]: Taking taylor expansion of 0.25 in i 1.322 * [taylor]: Taking taylor expansion of (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 1.322 * [taylor]: Taking taylor expansion of i in i 1.322 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 1.322 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 1.322 * [taylor]: Taking taylor expansion of 4.0 in i 1.322 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 1.322 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.322 * [taylor]: Taking taylor expansion of i in i 1.322 * [taylor]: Taking taylor expansion of 1.0 in i 1.326 * [taylor]: Taking taylor expansion of (/ 0.25 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 1.326 * [taylor]: Taking taylor expansion of 0.25 in i 1.326 * [taylor]: Taking taylor expansion of (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 1.326 * [taylor]: Taking taylor expansion of i in i 1.326 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 1.326 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 1.326 * [taylor]: Taking taylor expansion of 4.0 in i 1.326 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 1.326 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.326 * [taylor]: Taking taylor expansion of i in i 1.326 * [taylor]: Taking taylor expansion of 1.0 in i 1.351 * [approximate]: Taking taylor expansion of (/ -0.25 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 1.351 * [taylor]: Taking taylor expansion of (/ -0.25 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 1.351 * [taylor]: Taking taylor expansion of -0.25 in i 1.351 * [taylor]: Taking taylor expansion of (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 1.351 * [taylor]: Taking taylor expansion of i in i 1.351 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 1.351 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 1.351 * [taylor]: Taking taylor expansion of 4.0 in i 1.351 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 1.351 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.351 * [taylor]: Taking taylor expansion of i in i 1.352 * [taylor]: Taking taylor expansion of 1.0 in i 1.355 * [taylor]: Taking taylor expansion of (/ -0.25 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 1.355 * [taylor]: Taking taylor expansion of -0.25 in i 1.355 * [taylor]: Taking taylor expansion of (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 1.355 * [taylor]: Taking taylor expansion of i in i 1.355 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 1.355 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 1.355 * [taylor]: Taking taylor expansion of 4.0 in i 1.355 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 1.355 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.355 * [taylor]: Taking taylor expansion of i in i 1.356 * [taylor]: Taking taylor expansion of 1.0 in i 1.386 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.386 * [approximate]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in (i) around 0 1.386 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in i 1.386 * [taylor]: Taking taylor expansion of 0.25 in i 1.386 * [taylor]: Taking taylor expansion of (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0)) in i 1.386 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.386 * [taylor]: Taking taylor expansion of i in i 1.386 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 1.386 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 1.386 * [taylor]: Taking taylor expansion of 4.0 in i 1.386 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.386 * [taylor]: Taking taylor expansion of i in i 1.387 * [taylor]: Taking taylor expansion of 1.0 in i 1.388 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in i 1.388 * [taylor]: Taking taylor expansion of 0.25 in i 1.388 * [taylor]: Taking taylor expansion of (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0)) in i 1.388 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.388 * [taylor]: Taking taylor expansion of i in i 1.388 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 1.388 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 1.388 * [taylor]: Taking taylor expansion of 4.0 in i 1.388 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.388 * [taylor]: Taking taylor expansion of i in i 1.388 * [taylor]: Taking taylor expansion of 1.0 in i 1.411 * [approximate]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 1.411 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 1.411 * [taylor]: Taking taylor expansion of 0.25 in i 1.411 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 1.411 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.411 * [taylor]: Taking taylor expansion of i in i 1.411 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 1.411 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 1.411 * [taylor]: Taking taylor expansion of 4.0 in i 1.411 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 1.411 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.411 * [taylor]: Taking taylor expansion of i in i 1.412 * [taylor]: Taking taylor expansion of 1.0 in i 1.413 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 1.413 * [taylor]: Taking taylor expansion of 0.25 in i 1.413 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 1.413 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.413 * [taylor]: Taking taylor expansion of i in i 1.413 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 1.413 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 1.413 * [taylor]: Taking taylor expansion of 4.0 in i 1.413 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 1.413 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.413 * [taylor]: Taking taylor expansion of i in i 1.414 * [taylor]: Taking taylor expansion of 1.0 in i 1.437 * [approximate]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 1.437 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 1.437 * [taylor]: Taking taylor expansion of 0.25 in i 1.437 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 1.437 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.437 * [taylor]: Taking taylor expansion of i in i 1.437 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 1.437 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 1.437 * [taylor]: Taking taylor expansion of 4.0 in i 1.437 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 1.437 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.437 * [taylor]: Taking taylor expansion of i in i 1.437 * [taylor]: Taking taylor expansion of 1.0 in i 1.439 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 1.439 * [taylor]: Taking taylor expansion of 0.25 in i 1.439 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 1.439 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.439 * [taylor]: Taking taylor expansion of i in i 1.439 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 1.439 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 1.439 * [taylor]: Taking taylor expansion of 4.0 in i 1.439 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 1.439 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.439 * [taylor]: Taking taylor expansion of i in i 1.440 * [taylor]: Taking taylor expansion of 1.0 in i 1.466 * * * [progress]: simplifying candidates 1.468 * [simplify]: Simplifying using # : (expm1 (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (log1p (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (- (log i) (+ (log (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (+ (log 2.0) (log 2.0)))) (- (log i) (+ (log (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (log (* 2.0 2.0)))) (- (log i) (log (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (log (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (exp (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (/ (* (* i i) i) (* (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (* (* (* 2.0 2.0) 2.0) (* (* 2.0 2.0) 2.0)))) (/ (* (* i i) i) (* (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (* (* (* 2.0 2.0) (* 2.0 2.0)) (* 2.0 2.0)))) (/ (* (* 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 (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (cbrt (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))))) (cbrt (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (* (* (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (sqrt (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (sqrt (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (- i) (- (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (/ (* (cbrt i) (cbrt i)) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (cbrt i) (* 2.0 2.0)) (/ (sqrt i) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (sqrt i) (* 2.0 2.0)) (/ 1 (- (* (* 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 (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (cbrt i)) (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (sqrt i)) (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i) (/ i (* (- (pow (* (* 2.0 i) (* 2.0 i)) 3) (pow 1.0 3)) (* 2.0 2.0))) (/ i (* (- (* (* (* 2.0 i) (* 2.0 i)) (* (* 2.0 i) (* 2.0 i))) (* 1.0 1.0)) (* 2.0 2.0))) (expm1 (* (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) i)) (log1p (* (/ 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) (+ (- (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)) (+ (log (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (log i)) (log (* (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) i)) (exp (* (/ i (* (- (* (* 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 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 (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (* (* i i) i)) (* (cbrt (* (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) i)) (cbrt (* (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) i))) (cbrt (* (/ 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))) i)) (sqrt (* (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) i)) (sqrt (* (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) i)) (* (sqrt (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (sqrt i)) (* (sqrt (/ 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))) (* (cbrt i) (cbrt 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))) 1) (* (cbrt (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) i) (* (sqrt (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) i) (* (/ (cbrt i) (* 2.0 2.0)) i) (* (/ (sqrt i) (* 2.0 2.0)) i) (* (/ i (* 2.0 2.0)) i) (* (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) i) (* (/ 1 (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) i) (* (+ (* (* (* 2.0 i) (* 2.0 i)) (* (* 2.0 i) (* 2.0 i))) (+ (* 1.0 1.0) (* (* (* 2.0 i) (* 2.0 i)) 1.0))) i) (* (+ (* (* 2.0 i) (* 2.0 i)) 1.0) i) (* i i) (- (+ (* 1.0 (pow i 3)) (+ (* 4.0 (pow i 5)) (* 0.25 i)))) (+ (* 0.00390625 (/ 1 (pow i 5))) (+ (* 0.0625 (/ 1 i)) (* 0.015625 (/ 1 (pow i 3))))) (+ (* 0.00390625 (/ 1 (pow i 5))) (+ (* 0.0625 (/ 1 i)) (* 0.015625 (/ 1 (pow i 3))))) (- (+ (* 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)) 1.474 * * [simplify]: iteration 0 : 417 enodes (cost 687 ) 1.482 * * [simplify]: iteration 1 : 1859 enodes (cost 549 ) 1.518 * * [simplify]: iteration 2 : 5001 enodes (cost 546 ) 1.521 * [simplify]: Simplified to: (expm1 (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (log1p (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (log (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (log (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (log (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (log (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (exp (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (pow (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) 3) (pow (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) 3) (pow (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) 3) (* (cbrt (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (cbrt (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))))) (cbrt (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (pow (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) 3) (sqrt (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (sqrt (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (- i) (- (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (/ (* (cbrt i) (cbrt i)) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (cbrt i) (* 2.0 2.0)) (/ (pow i 1/2) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (sqrt i) (* 2.0 2.0)) (/ 1 (- (* (* 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 (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (cbrt i)) (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (sqrt i)) (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i) (/ i (* (- (pow (* (* 2.0 i) (* 2.0 i)) 3) (pow 1.0 3)) (* 2.0 2.0))) (* (/ 1 (fma (pow (* 2.0 i) 3) (* 2.0 i) (- (* 1.0 1.0)))) (/ i (* 2.0 2.0))) (expm1 (* (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) i)) (log1p (* (/ 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) (log (* (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) i)) (log (* (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) i)) (log (* (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) i)) (log (* (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) i)) (log (* (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) i)) (exp (* (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) i)) (/ (pow i 6) (pow (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) 3)) (/ (pow i 6) (pow (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) 3)) (/ (pow i 6) (pow (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) 3)) (/ (pow i 6) (pow (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) 3)) (* (cbrt (* (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) i)) (cbrt (* (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) i))) (cbrt (* (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) i)) (/ (pow i 6) (pow (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) 3)) (sqrt (* (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) i)) (sqrt (* (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) i)) (* (sqrt (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (sqrt i)) (* (sqrt (/ 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))) (* (cbrt i) (cbrt 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))) (* (cbrt (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) i) (* (sqrt (/ i (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) i) (* (/ (cbrt i) (* 2.0 2.0)) i) (* (/ (sqrt i) (* 2.0 2.0)) i) (* (/ i (* 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))) (fma i (* (* (pow (* 2.0 i) 3) i) 2.0) (* i (fma 1.0 1.0 (* (* (* 2.0 i) (* 2.0 i)) 1.0)))) (* i (fma (* 2.0 i) (* 2.0 i) 1.0)) (pow i 2) (- (- (* 1.0 (pow i 3))) (fma 4.0 (pow i 5) (* 0.25 i))) (fma 0.00390625 (/ 1 (pow i 5)) (fma 0.0625 (/ 1 i) (* 0.015625 (/ 1 (pow i 3))))) (fma 0.00390625 (/ 1 (pow i 5)) (fma 0.0625 (/ 1 i) (* 0.015625 (/ 1 (pow i 3))))) (- (- (* 0.25 (pow i 2))) (fma 1.0 (pow i 4) (* 4.0 (pow i 6)))) (fma 0.00390625 (/ 1 (pow i 4)) (fma 0.015625 (/ 1 (pow i 2)) 0.0625)) (fma 0.00390625 (/ 1 (pow i 4)) (fma 0.015625 (/ 1 (pow i 2)) 0.0625)) 1.521 * * * [progress]: adding candidates to table 1.633 * [progress]: [Phase 3 of 3] Extracting. 1.633 * * [regime]: Finding splitpoints for: (# # #) 1.634 * * * [regime-changes]: Trying 1 branch expressions: (i) 1.634 * * * * [regimes]: Trying to branch on i from (# # #) 1.645 * * * [regime]: Found split indices: #