2.602 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 0.019 * * [simplify]: iteration 0 : 10 enodes (cost 25 ) 0.020 * * [simplify]: iteration 1 : 32 enodes (cost 25 ) 0.027 * * [simplify]: iteration 2 : 167 enodes (cost 23 ) 0.079 * * [simplify]: iteration 3 : 893 enodes (cost 19 ) 0.425 * * [simplify]: iteration done : 5000 enodes (cost 17 ) 0.426 * [simplify]: Simplified to: (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) 0.429 * * [progress]: iteration 1 / 4 0.429 * * * [progress]: picking best candidate 0.430 * * * * [pick]: Picked # 0.430 * * * [progress]: localizing error 0.439 * * * [progress]: generating rewritten candidates 0.439 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.461 * * * [progress]: generating series expansions 0.461 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.462 * [approximate]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in (i) around 0 0.462 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in i 0.462 * [taylor]: Taking taylor expansion of 0.25 in i 0.462 * [taylor]: Taking taylor expansion of (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0)) in i 0.462 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.462 * [taylor]: Taking taylor expansion of i in i 0.462 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.462 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.462 * [taylor]: Taking taylor expansion of 4.0 in i 0.462 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.462 * [taylor]: Taking taylor expansion of i in i 0.462 * [taylor]: Taking taylor expansion of 1.0 in i 0.464 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in i 0.464 * [taylor]: Taking taylor expansion of 0.25 in i 0.464 * [taylor]: Taking taylor expansion of (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0)) in i 0.464 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.464 * [taylor]: Taking taylor expansion of i in i 0.464 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.464 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.464 * [taylor]: Taking taylor expansion of 4.0 in i 0.464 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.464 * [taylor]: Taking taylor expansion of i in i 0.464 * [taylor]: Taking taylor expansion of 1.0 in i 0.488 * [approximate]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.488 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.488 * [taylor]: Taking taylor expansion of 0.25 in i 0.488 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.488 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.488 * [taylor]: Taking taylor expansion of i in i 0.488 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.488 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.488 * [taylor]: Taking taylor expansion of 4.0 in i 0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.488 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.488 * [taylor]: Taking taylor expansion of i in i 0.488 * [taylor]: Taking taylor expansion of 1.0 in i 0.490 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.490 * [taylor]: Taking taylor expansion of 0.25 in i 0.490 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.490 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.490 * [taylor]: Taking taylor expansion of i in i 0.490 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.490 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.490 * [taylor]: Taking taylor expansion of 4.0 in i 0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.490 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.490 * [taylor]: Taking taylor expansion of i in i 0.491 * [taylor]: Taking taylor expansion of 1.0 in i 0.519 * [approximate]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.519 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.519 * [taylor]: Taking taylor expansion of 0.25 in i 0.519 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.519 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.519 * [taylor]: Taking taylor expansion of i in i 0.519 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.519 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.519 * [taylor]: Taking taylor expansion of 4.0 in i 0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.519 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.519 * [taylor]: Taking taylor expansion of i in i 0.520 * [taylor]: Taking taylor expansion of 1.0 in i 0.521 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.521 * [taylor]: Taking taylor expansion of 0.25 in i 0.521 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.521 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.521 * [taylor]: Taking taylor expansion of i in i 0.521 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.521 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.521 * [taylor]: Taking taylor expansion of 4.0 in i 0.521 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.521 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.521 * [taylor]: Taking taylor expansion of i in i 0.522 * [taylor]: Taking taylor expansion of 1.0 in i 0.545 * * * [progress]: simplifying candidates 0.546 * [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)) 0.549 * * [simplify]: iteration 0 : 98 enodes (cost 851 ) 0.568 * * [simplify]: iteration 1 : 312 enodes (cost 830 ) 0.652 * * [simplify]: iteration 2 : 1423 enodes (cost 578 ) 1.019 * * [simplify]: iteration done : 5001 enodes (cost 578 ) 1.019 * [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 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)) (/ (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 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 6) (pow (* (- (* (* 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 2.0) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) i)) (/ i (/ (* 2.0 (- (pow (* 2.0 i) 6) (pow 1.0 3))) (/ i 2.0))) (/ (pow i 2) (* (* 2.0 2.0) (fma (* 2.0 i) (pow (* 2.0 i) 3) (- (* 1.0 1.0))))) (- (fma 0.25 (* i i) (fma 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)) 1.019 * * * [progress]: adding candidates to table 1.069 * * [progress]: iteration 2 / 4 1.069 * * * [progress]: picking best candidate 1.072 * * * * [pick]: Picked # 1.072 * * * [progress]: localizing error 1.083 * * * [progress]: generating rewritten candidates 1.083 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 1.103 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.161 * * * [progress]: generating series expansions 1.161 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 1.161 * [approximate]: Taking taylor expansion of (/ i (- (* 4.0 (pow i 2)) 1.0)) in (i) around 0 1.161 * [taylor]: Taking taylor expansion of (/ i (- (* 4.0 (pow i 2)) 1.0)) in i 1.161 * [taylor]: Taking taylor expansion of i in i 1.161 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 1.161 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 1.161 * [taylor]: Taking taylor expansion of 4.0 in i 1.161 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.161 * [taylor]: Taking taylor expansion of i in i 1.161 * [taylor]: Taking taylor expansion of 1.0 in i 1.163 * [taylor]: Taking taylor expansion of (/ i (- (* 4.0 (pow i 2)) 1.0)) in i 1.163 * [taylor]: Taking taylor expansion of i in i 1.163 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 1.163 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 1.163 * [taylor]: Taking taylor expansion of 4.0 in i 1.163 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.163 * [taylor]: Taking taylor expansion of i in i 1.163 * [taylor]: Taking taylor expansion of 1.0 in i 1.181 * [approximate]: Taking taylor expansion of (/ 1 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 1.181 * [taylor]: Taking taylor expansion of (/ 1 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 1.181 * [taylor]: Taking taylor expansion of (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 1.181 * [taylor]: Taking taylor expansion of i in i 1.181 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 1.181 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 1.181 * [taylor]: Taking taylor expansion of 4.0 in i 1.181 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 1.181 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.182 * [taylor]: Taking taylor expansion of i in i 1.182 * [taylor]: Taking taylor expansion of 1.0 in i 1.185 * [taylor]: Taking taylor expansion of (/ 1 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 1.185 * [taylor]: Taking taylor expansion of (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 1.185 * [taylor]: Taking taylor expansion of i in i 1.185 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 1.185 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 1.185 * [taylor]: Taking taylor expansion of 4.0 in i 1.185 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 1.185 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.185 * [taylor]: Taking taylor expansion of i in i 1.186 * [taylor]: Taking taylor expansion of 1.0 in i 1.211 * [approximate]: Taking taylor expansion of (/ -1 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 1.211 * [taylor]: Taking taylor expansion of (/ -1 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 1.211 * [taylor]: Taking taylor expansion of -1 in i 1.211 * [taylor]: Taking taylor expansion of (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 1.211 * [taylor]: Taking taylor expansion of i in i 1.211 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 1.211 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 1.212 * [taylor]: Taking taylor expansion of 4.0 in i 1.212 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 1.212 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.212 * [taylor]: Taking taylor expansion of i in i 1.212 * [taylor]: Taking taylor expansion of 1.0 in i 1.215 * [taylor]: Taking taylor expansion of (/ -1 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 1.216 * [taylor]: Taking taylor expansion of -1 in i 1.216 * [taylor]: Taking taylor expansion of (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 1.216 * [taylor]: Taking taylor expansion of i in i 1.216 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 1.216 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 1.216 * [taylor]: Taking taylor expansion of 4.0 in i 1.216 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 1.216 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.216 * [taylor]: Taking taylor expansion of i in i 1.216 * [taylor]: Taking taylor expansion of 1.0 in i 1.243 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.243 * [approximate]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in (i) around 0 1.243 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in i 1.243 * [taylor]: Taking taylor expansion of 0.25 in i 1.243 * [taylor]: Taking taylor expansion of (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0)) in i 1.243 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.243 * [taylor]: Taking taylor expansion of i in i 1.243 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 1.243 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 1.244 * [taylor]: Taking taylor expansion of 4.0 in i 1.244 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.244 * [taylor]: Taking taylor expansion of i in i 1.244 * [taylor]: Taking taylor expansion of 1.0 in i 1.245 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in i 1.245 * [taylor]: Taking taylor expansion of 0.25 in i 1.245 * [taylor]: Taking taylor expansion of (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0)) in i 1.245 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.245 * [taylor]: Taking taylor expansion of i in i 1.245 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 1.245 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 1.245 * [taylor]: Taking taylor expansion of 4.0 in i 1.245 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.245 * [taylor]: Taking taylor expansion of i in i 1.245 * [taylor]: Taking taylor expansion of 1.0 in i 1.274 * [approximate]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 1.274 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 1.274 * [taylor]: Taking taylor expansion of 0.25 in i 1.274 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 1.274 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.274 * [taylor]: Taking taylor expansion of i in i 1.274 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 1.274 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 1.274 * [taylor]: Taking taylor expansion of 4.0 in i 1.274 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 1.274 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.274 * [taylor]: Taking taylor expansion of i in i 1.274 * [taylor]: Taking taylor expansion of 1.0 in i 1.276 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 1.276 * [taylor]: Taking taylor expansion of 0.25 in i 1.276 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 1.276 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.276 * [taylor]: Taking taylor expansion of i in i 1.276 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 1.276 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 1.276 * [taylor]: Taking taylor expansion of 4.0 in i 1.276 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 1.276 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.276 * [taylor]: Taking taylor expansion of i in i 1.276 * [taylor]: Taking taylor expansion of 1.0 in i 1.300 * [approximate]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 1.300 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 1.300 * [taylor]: Taking taylor expansion of 0.25 in i 1.300 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 1.300 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.300 * [taylor]: Taking taylor expansion of i in i 1.300 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 1.300 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 1.300 * [taylor]: Taking taylor expansion of 4.0 in i 1.300 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 1.300 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.300 * [taylor]: Taking taylor expansion of i in i 1.301 * [taylor]: Taking taylor expansion of 1.0 in i 1.302 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 1.302 * [taylor]: Taking taylor expansion of 0.25 in i 1.302 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 1.302 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.302 * [taylor]: Taking taylor expansion of i in i 1.302 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 1.302 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 1.302 * [taylor]: Taking taylor expansion of 4.0 in i 1.302 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 1.302 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.302 * [taylor]: Taking taylor expansion of i in i 1.303 * [taylor]: Taking taylor expansion of 1.0 in i 1.326 * * * [progress]: simplifying candidates 1.332 * [simplify]: Simplifying using # : (expm1 (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (log1p (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (- (log i) (log (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (log (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (exp (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (* (* i i) i) (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (* (cbrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (cbrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (cbrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (* (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (- i) (- (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (* (cbrt i) (cbrt i)) (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (/ (cbrt i) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (* (cbrt i) (cbrt i)) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (cbrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (* (cbrt i) (cbrt i)) 1) (/ (cbrt i) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (* (cbrt i) (cbrt i)) (+ (* 2.0 i) (sqrt 1.0))) (/ (cbrt i) (- (* 2.0 i) (sqrt 1.0))) (/ (sqrt i) (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (/ (sqrt i) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (sqrt i) 1) (/ (sqrt i) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (sqrt i) (+ (* 2.0 i) (sqrt 1.0))) (/ (sqrt i) (- (* 2.0 i) (sqrt 1.0))) (/ 1 (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (/ i (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ 1 (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ 1 1) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (/ i (- (* 2.0 i) (sqrt 1.0))) (/ 1 (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) i) (/ i (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (/ i (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i 1) (/ i (+ (* 2.0 i) (sqrt 1.0))) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) (cbrt i)) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) (sqrt i)) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) i) (/ i (- (pow (* (* 2.0 i) (* 2.0 i)) 3) (pow 1.0 3))) (/ i (- (* (* (* 2.0 i) (* 2.0 i)) (* (* 2.0 i) (* 2.0 i))) (* 1.0 1.0))) (expm1 (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (log1p (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) (+ (- (log i) (log (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (- (log i) (+ (log 2.0) (log 2.0)))) (+ (- (log i) (log (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (- (log i) (log (* 2.0 2.0)))) (+ (- (log i) (log (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (log (/ i (* 2.0 2.0)))) (+ (log (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (- (log i) (+ (log 2.0) (log 2.0)))) (+ (log (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (- (log i) (log (* 2.0 2.0)))) (+ (log (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (log (/ i (* 2.0 2.0)))) (log (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (exp (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (* (/ (* (* i i) i) (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (* (* i i) i) (* (* (* 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))) (/ (* (* i i) i) (* (* (* 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))) (* (* (/ i (* 2.0 2.0)) (/ i (* 2.0 2.0))) (/ i (* 2.0 2.0)))) (* (* (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (* (* i i) i) (* (* (* 2.0 2.0) 2.0) (* (* 2.0 2.0) 2.0)))) (* (* (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (* (* i i) i) (* (* (* 2.0 2.0) (* 2.0 2.0)) (* 2.0 2.0)))) (* (* (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (* (* (/ i (* 2.0 2.0)) (/ i (* 2.0 2.0))) (/ i (* 2.0 2.0)))) (* (cbrt (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (cbrt (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))))) (cbrt (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (* (* (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (* (/ 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 (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (* (sqrt (/ 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))) (sqrt (/ i (* 2.0 2.0)))) (* (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (sqrt i) 2.0)) (* (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (sqrt i) 2.0)) (* (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt (/ i (* 2.0 2.0)))) (* (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt (/ i (* 2.0 2.0)))) (* (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (sqrt i) 2.0)) (* (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (sqrt i) 2.0)) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (* (cbrt (/ i (* 2.0 2.0))) (cbrt (/ i (* 2.0 2.0))))) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (sqrt (/ i (* 2.0 2.0)))) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (* (cbrt i) (cbrt i)) 2.0)) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (sqrt i) 2.0)) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ 1 2.0)) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 1) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) i) (* (cbrt (/ 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))) (* (/ (cbrt i) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (* 2.0 2.0))) (* (/ (cbrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (* 2.0 2.0))) (* (/ (cbrt i) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) (* (/ (cbrt i) (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))) (* (/ (sqrt i) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (* 2.0 2.0))) (* (/ (sqrt i) (sqrt (- (* (* 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) (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))) (* (/ i (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (* 2.0 2.0))) (* (/ i (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (* 2.0 2.0))) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 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)) (/ i (* 2.0 2.0))) (* (+ (* (* (* 2.0 i) (* 2.0 i)) (* (* 2.0 i) (* 2.0 i))) (+ (* 1.0 1.0) (* (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (* 2.0 2.0))) (* (+ (* (* 2.0 i) (* 2.0 i)) 1.0) (/ i (* 2.0 2.0))) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) i) (* i (/ i (* 2.0 2.0))) (- (+ (* 4.0 (pow i 3)) (+ (* 16.0 (pow i 5)) (* 1.0 i)))) (+ (* 0.015625 (/ 1 (pow i 5))) (+ (* 0.25 (/ 1 i)) (* 0.0625 (/ 1 (pow i 3))))) (+ (* 0.015625 (/ 1 (pow i 5))) (+ (* 0.25 (/ 1 i)) (* 0.0625 (/ 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)) 1.338 * * [simplify]: iteration 0 : 192 enodes (cost 2054 ) 1.376 * * [simplify]: iteration 1 : 557 enodes (cost 1988 )