24.394 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying using # : (/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 0.023 * * [simplify]: iteration 0 : 31 enodes (cost 12 ) 0.025 * * [simplify]: iteration 1 : 168 enodes (cost 11 ) 0.029 * * [simplify]: iteration 2 : 965 enodes (cost 9 ) 0.052 * * [simplify]: iteration 3 : 5001 enodes (cost 8 ) 0.053 * [simplify]: Simplified to: (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) 0.056 * * [progress]: iteration 1 / 4 0.056 * * * [progress]: picking best candidate 0.062 * * * * [pick]: Picked # 0.062 * * * [progress]: localizing error 0.071 * * * [progress]: generating rewritten candidates 0.071 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.086 * * * [progress]: generating series expansions 0.086 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.087 * [approximate]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in (i) around 0 0.087 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in i 0.087 * [taylor]: Taking taylor expansion of 0.25 in i 0.087 * [taylor]: Taking taylor expansion of (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0)) in i 0.087 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.087 * [taylor]: Taking taylor expansion of i in i 0.087 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.087 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.087 * [taylor]: Taking taylor expansion of 4.0 in i 0.087 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.087 * [taylor]: Taking taylor expansion of i in i 0.087 * [taylor]: Taking taylor expansion of 1.0 in i 0.089 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in i 0.089 * [taylor]: Taking taylor expansion of 0.25 in i 0.089 * [taylor]: Taking taylor expansion of (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0)) in i 0.089 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.089 * [taylor]: Taking taylor expansion of i in i 0.089 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.089 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.089 * [taylor]: Taking taylor expansion of 4.0 in i 0.089 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.089 * [taylor]: Taking taylor expansion of i in i 0.089 * [taylor]: Taking taylor expansion of 1.0 in i 0.112 * [approximate]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.112 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.112 * [taylor]: Taking taylor expansion of 0.25 in i 0.112 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.112 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.112 * [taylor]: Taking taylor expansion of i in i 0.112 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.112 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.112 * [taylor]: Taking taylor expansion of 4.0 in i 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.112 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.112 * [taylor]: Taking taylor expansion of i in i 0.113 * [taylor]: Taking taylor expansion of 1.0 in i 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 0.138 * [approximate]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.138 * [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 0.139 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.139 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.139 * [taylor]: Taking taylor expansion of 4.0 in i 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.139 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.139 * [taylor]: Taking taylor expansion of i in i 0.139 * [taylor]: Taking taylor expansion of 1.0 in i 0.140 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.140 * [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 0.141 * [taylor]: Taking taylor expansion of 1.0 in i 0.166 * * * [progress]: simplifying candidates 0.167 * [simplify]: Simplifying using # : (- (+ (log i) (log i)) (+ (log (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (+ (log 2.0) (log 2.0)))) (- (+ (log i) (log i)) (+ (log (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (log (* 2.0 2.0)))) (- (+ (log i) (log i)) (log (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (- (log (* i i)) (+ (log (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (+ (log 2.0) (log 2.0)))) (- (log (* i i)) (+ (log (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (log (* 2.0 2.0)))) (- (log (* i i)) (log (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (log (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (exp (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (* (* (* 2.0 2.0) 2.0) (* (* 2.0 2.0) 2.0)))) (/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (* (* (* 2.0 2.0) (* 2.0 2.0)) (* 2.0 2.0)))) (/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (* (* (* 2.0 2.0) 2.0) (* (* 2.0 2.0) 2.0)))) (/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (* (* (* 2.0 2.0) (* 2.0 2.0)) (* 2.0 2.0)))) (/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (* (cbrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (cbrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))))) (cbrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (* (* (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (sqrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (sqrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (neg (* i i)) (neg (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)) (/ 1 (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (* i i)) (/ (* i i) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i) (/ (* i i) (* (- (pow (* (* 2.0 i) (* 2.0 i)) 3) (pow 1.0 3)) (* 2.0 2.0))) (/ (* i i) (* (- (* (* (* 2.0 i) (* 2.0 i)) (* (* 2.0 i) (* 2.0 i))) (* 1.0 1.0)) (* 2.0 2.0))) (neg (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) 0.171 * * [simplify]: iteration 0 : 311 enodes (cost 392 ) 0.178 * * [simplify]: iteration 1 : 1550 enodes (cost 273 ) 0.204 * * [simplify]: iteration 2 : 5001 enodes (cost 273 ) 0.206 * [simplify]: Simplified to: (log (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (log (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (log (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (log (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (log (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (log (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (log (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (exp (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (pow (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) 3) (pow (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) 3) (pow (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) 3) (pow (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) 3) (pow (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) 3) (pow (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) 3) (* (cbrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (cbrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))))) (cbrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (pow (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) 3) (sqrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (sqrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (neg (* i i)) (neg (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)) (/ 1 (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (* i i)) (/ (* i i) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i) (/ (* i i) (* (- (pow (* (* 2.0 i) (* 2.0 i)) 3) (pow 1.0 3)) (* 2.0 2.0))) (/ (* i i) (* (- (* (* (* 2.0 i) (* 2.0 i)) (* (* 2.0 i) (* 2.0 i))) (* 1.0 1.0)) (* 2.0 2.0))) (neg (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) 0.206 * * * [progress]: adding candidates to table 0.239 * * [progress]: iteration 2 / 4 0.239 * * * [progress]: picking best candidate 0.247 * * * * [pick]: Picked # 0.247 * * * [progress]: localizing error 0.255 * * * [progress]: generating rewritten candidates 0.255 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.265 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.285 * * * [progress]: generating series expansions 0.285 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.285 * [approximate]: Taking taylor expansion of (/ i (- (* 4.0 (pow i 2)) 1.0)) in (i) around 0 0.285 * [taylor]: Taking taylor expansion of (/ i (- (* 4.0 (pow i 2)) 1.0)) in i 0.285 * [taylor]: Taking taylor expansion of i in i 0.285 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.285 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.285 * [taylor]: Taking taylor expansion of 4.0 in i 0.285 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.285 * [taylor]: Taking taylor expansion of i in i 0.285 * [taylor]: Taking taylor expansion of 1.0 in i 0.287 * [taylor]: Taking taylor expansion of (/ i (- (* 4.0 (pow i 2)) 1.0)) in i 0.287 * [taylor]: Taking taylor expansion of i in i 0.287 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.287 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.287 * [taylor]: Taking taylor expansion of 4.0 in i 0.287 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.287 * [taylor]: Taking taylor expansion of i in i 0.287 * [taylor]: Taking taylor expansion of 1.0 in i 0.302 * [approximate]: Taking taylor expansion of (/ 1 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.302 * [taylor]: Taking taylor expansion of (/ 1 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.302 * [taylor]: Taking taylor expansion of (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.302 * [taylor]: Taking taylor expansion of i in i 0.302 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.302 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.302 * [taylor]: Taking taylor expansion of 4.0 in i 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.302 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.302 * [taylor]: Taking taylor expansion of i in i 0.303 * [taylor]: Taking taylor expansion of 1.0 in i 0.306 * [taylor]: Taking taylor expansion of (/ 1 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.306 * [taylor]: Taking taylor expansion of (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.306 * [taylor]: Taking taylor expansion of i in i 0.306 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.306 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.306 * [taylor]: Taking taylor expansion of 4.0 in i 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.306 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.306 * [taylor]: Taking taylor expansion of i in i 0.307 * [taylor]: Taking taylor expansion of 1.0 in i 0.334 * [approximate]: Taking taylor expansion of (/ -1 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.334 * [taylor]: Taking taylor expansion of (/ -1 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.334 * [taylor]: Taking taylor expansion of -1 in i 0.334 * [taylor]: Taking taylor expansion of (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.334 * [taylor]: Taking taylor expansion of i in i 0.334 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.334 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.334 * [taylor]: Taking taylor expansion of 4.0 in i 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.334 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.334 * [taylor]: Taking taylor expansion of i in i 0.334 * [taylor]: Taking taylor expansion of 1.0 in i 0.338 * [taylor]: Taking taylor expansion of (/ -1 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.338 * [taylor]: Taking taylor expansion of -1 in i 0.338 * [taylor]: Taking taylor expansion of (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.338 * [taylor]: Taking taylor expansion of i in i 0.338 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.338 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.338 * [taylor]: Taking taylor expansion of 4.0 in i 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.338 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.338 * [taylor]: Taking taylor expansion of i in i 0.338 * [taylor]: Taking taylor expansion of 1.0 in i 0.365 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.365 * [approximate]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in (i) around 0 0.365 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in i 0.365 * [taylor]: Taking taylor expansion of 0.25 in i 0.365 * [taylor]: Taking taylor expansion of (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0)) in i 0.365 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.365 * [taylor]: Taking taylor expansion of i in i 0.365 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.365 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.365 * [taylor]: Taking taylor expansion of 4.0 in i 0.365 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.365 * [taylor]: Taking taylor expansion of i in i 0.365 * [taylor]: Taking taylor expansion of 1.0 in i 0.367 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in i 0.367 * [taylor]: Taking taylor expansion of 0.25 in i 0.367 * [taylor]: Taking taylor expansion of (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0)) in i 0.367 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.367 * [taylor]: Taking taylor expansion of i in i 0.367 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.367 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.367 * [taylor]: Taking taylor expansion of 4.0 in i 0.367 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.367 * [taylor]: Taking taylor expansion of i in i 0.367 * [taylor]: Taking taylor expansion of 1.0 in i 0.389 * [approximate]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.389 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.390 * [taylor]: Taking taylor expansion of 0.25 in i 0.390 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.390 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.390 * [taylor]: Taking taylor expansion of i in i 0.390 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.390 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.390 * [taylor]: Taking taylor expansion of 4.0 in i 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.390 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.390 * [taylor]: Taking taylor expansion of i in i 0.390 * [taylor]: Taking taylor expansion of 1.0 in i 0.391 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.391 * [taylor]: Taking taylor expansion of 0.25 in i 0.391 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.391 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.391 * [taylor]: Taking taylor expansion of i in i 0.392 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.392 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.392 * [taylor]: Taking taylor expansion of 4.0 in i 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.392 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.392 * [taylor]: Taking taylor expansion of i in i 0.392 * [taylor]: Taking taylor expansion of 1.0 in i 0.417 * [approximate]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.417 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.417 * [taylor]: Taking taylor expansion of 0.25 in i 0.417 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.417 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.417 * [taylor]: Taking taylor expansion of i in i 0.417 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.417 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.417 * [taylor]: Taking taylor expansion of 4.0 in i 0.417 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.417 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.417 * [taylor]: Taking taylor expansion of i in i 0.418 * [taylor]: Taking taylor expansion of 1.0 in i 0.419 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.419 * [taylor]: Taking taylor expansion of 0.25 in i 0.419 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.419 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.419 * [taylor]: Taking taylor expansion of i in i 0.419 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.419 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.419 * [taylor]: Taking taylor expansion of 4.0 in i 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.419 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.419 * [taylor]: Taking taylor expansion of i in i 0.420 * [taylor]: Taking taylor expansion of 1.0 in i 0.442 * * * [progress]: simplifying candidates 0.443 * [simplify]: Simplifying using # : (- (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))) (neg i) (neg (- (* (* 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))) (* (/ 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))) (neg (+ (* 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))))) (neg (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) 0.450 * * [simplify]: iteration 0 : 530 enodes (cost 978 ) 0.460 * * [simplify]: iteration 1 : 2493 enodes (cost 842 ) 0.499 * * [simplify]: iteration 2 : 5001 enodes (cost 833 ) 0.503 * [simplify]: Simplified to: (log (/ i (- (* (* 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))) (pow (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 3) (* (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))) (pow (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 3) (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (neg i) (neg (- (* (* 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)) (/ (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) (/ (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 (/ 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 (/ 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 (+ (neg (pow 1.0 3)) (pow (* 2.0 i) 6))) (/ i (+ (neg (* 1.0 1.0)) (* (* (pow (* 2.0 i) 3) i) 2.0))) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) (log (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (log (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (log (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (log (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (log (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (log (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ 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)))) (pow (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) 3) (pow (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) 3) (pow (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) 3) (pow (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) 3) (pow (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) 3) (pow (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) 3) (* (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)))) (pow (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) 3) (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)))) (pow i 2) (* (- (* (* 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)))) (/ (/ i (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) 2.0) (/ (/ i (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) 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)) 2.0) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (* (/ 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))) (/ (/ i (* 2.0 2.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (* (/ i (* 2.0 2.0)) (+ (* 1.0 (+ 1.0 (* (* 2.0 i) (* 2.0 i)))) (* (* (* 2.0 i) (* 2.0 i)) (* (* 2.0 i) (* 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) (* i (/ i (* 2.0 2.0))) (neg (+ (* 4.0 (pow i 3)) (+ (* 16.0 (pow i 5)) (* 1.0 i)))) (+ (/ 0.0625 (pow i 3)) (+ (* 0.015625 (/ 1 (pow i 5))) (* 0.25 (/ 1 i)))) (+ (/ 0.0625 (pow i 3)) (+ (* 0.015625 (/ 1 (pow i 5))) (* 0.25 (/ 1 i)))) (neg (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) 0.504 * * * [progress]: adding candidates to table 0.632 * * [progress]: iteration 3 / 4 0.632 * * * [progress]: picking best candidate 0.636 * * * * [pick]: Picked # 0.636 * * * [progress]: localizing error 0.649 * * * [progress]: generating rewritten candidates 0.649 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 0.655 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2 2) 0.661 * * * [progress]: generating series expansions 0.661 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 0.661 * [approximate]: Taking taylor expansion of (* 0.25 (pow i 2)) in (i) around 0 0.661 * [taylor]: Taking taylor expansion of (* 0.25 (pow i 2)) in i 0.661 * [taylor]: Taking taylor expansion of 0.25 in i 0.661 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.662 * [taylor]: Taking taylor expansion of i in i 0.662 * [taylor]: Taking taylor expansion of (* 0.25 (pow i 2)) in i 0.662 * [taylor]: Taking taylor expansion of 0.25 in i 0.662 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.662 * [taylor]: Taking taylor expansion of i in i 0.672 * [approximate]: Taking taylor expansion of (/ 0.25 (pow i 2)) in (i) around 0 0.672 * [taylor]: Taking taylor expansion of (/ 0.25 (pow i 2)) in i 0.672 * [taylor]: Taking taylor expansion of 0.25 in i 0.672 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.672 * [taylor]: Taking taylor expansion of i in i 0.673 * [taylor]: Taking taylor expansion of (/ 0.25 (pow i 2)) in i 0.673 * [taylor]: Taking taylor expansion of 0.25 in i 0.673 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.673 * [taylor]: Taking taylor expansion of i in i 0.680 * [approximate]: Taking taylor expansion of (/ 0.25 (pow i 2)) in (i) around 0 0.680 * [taylor]: Taking taylor expansion of (/ 0.25 (pow i 2)) in i 0.680 * [taylor]: Taking taylor expansion of 0.25 in i 0.680 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.680 * [taylor]: Taking taylor expansion of i in i 0.681 * [taylor]: Taking taylor expansion of (/ 0.25 (pow i 2)) in i 0.681 * [taylor]: Taking taylor expansion of 0.25 in i 0.681 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.681 * [taylor]: Taking taylor expansion of i in i 0.688 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2 2) 0.688 * [approximate]: Taking taylor expansion of (* 4.0 (pow i 6)) in (i) around 0 0.688 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 6)) in i 0.688 * [taylor]: Taking taylor expansion of 4.0 in i 0.688 * [taylor]: Taking taylor expansion of (pow i 6) in i 0.688 * [taylor]: Taking taylor expansion of i in i 0.688 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 6)) in i 0.688 * [taylor]: Taking taylor expansion of 4.0 in i 0.688 * [taylor]: Taking taylor expansion of (pow i 6) in i 0.688 * [taylor]: Taking taylor expansion of i in i 0.703 * [approximate]: Taking taylor expansion of (/ 4.0 (pow i 6)) in (i) around 0 0.704 * [taylor]: Taking taylor expansion of (/ 4.0 (pow i 6)) in i 0.704 * [taylor]: Taking taylor expansion of 4.0 in i 0.704 * [taylor]: Taking taylor expansion of (pow i 6) in i 0.704 * [taylor]: Taking taylor expansion of i in i 0.705 * [taylor]: Taking taylor expansion of (/ 4.0 (pow i 6)) in i 0.705 * [taylor]: Taking taylor expansion of 4.0 in i 0.705 * [taylor]: Taking taylor expansion of (pow i 6) in i 0.705 * [taylor]: Taking taylor expansion of i in i 0.719 * [approximate]: Taking taylor expansion of (/ 4.0 (pow i 6)) in (i) around 0 0.719 * [taylor]: Taking taylor expansion of (/ 4.0 (pow i 6)) in i 0.719 * [taylor]: Taking taylor expansion of 4.0 in i 0.719 * [taylor]: Taking taylor expansion of (pow i 6) in i 0.719 * [taylor]: Taking taylor expansion of i in i 0.720 * [taylor]: Taking taylor expansion of (/ 4.0 (pow i 6)) in i 0.720 * [taylor]: Taking taylor expansion of 4.0 in i 0.720 * [taylor]: Taking taylor expansion of (pow i 6) in i 0.720 * [taylor]: Taking taylor expansion of i in i 0.734 * * * [progress]: simplifying candidates 0.735 * [simplify]: Simplifying using # : (+ (log 0.25) (* (log i) 2)) (+ (log 0.25) (* (log i) 2)) (+ (log 0.25) (log (pow i 2))) (log (* 0.25 (pow i 2))) (exp (* 0.25 (pow i 2))) (* (* (* 0.25 0.25) 0.25) (* (* (pow i 2) (pow i 2)) (pow i 2))) (* (cbrt (* 0.25 (pow i 2))) (cbrt (* 0.25 (pow i 2)))) (cbrt (* 0.25 (pow i 2))) (* (* (* 0.25 (pow i 2)) (* 0.25 (pow i 2))) (* 0.25 (pow i 2))) (sqrt (* 0.25 (pow i 2))) (sqrt (* 0.25 (pow i 2))) (* (sqrt 0.25) (pow (sqrt i) 2)) (* (sqrt 0.25) (pow (sqrt i) 2)) (* (sqrt 0.25) i) (* (sqrt 0.25) i) (* (sqrt 0.25) (sqrt (pow i 2))) (* (sqrt 0.25) (sqrt (pow i 2))) (* (sqrt 0.25) (pow i (/ 2 2))) (* (sqrt 0.25) (pow i (/ 2 2))) (* 0.25 (pow (* (cbrt i) (cbrt i)) 2)) (* 0.25 (pow (sqrt i) 2)) (* 0.25 (pow 1 2)) (* 0.25 i) (* 0.25 (* (cbrt (pow i 2)) (cbrt (pow i 2)))) (* 0.25 (sqrt (pow i 2))) (* 0.25 1) (* 0.25 (pow i (/ 2 2))) (* (cbrt 0.25) (pow i 2)) (* (sqrt 0.25) (pow i 2)) (* 0.25 (pow i 2)) (+ (log 4.0) (* (log i) 6)) (+ (log 4.0) (* (log i) 6)) (+ (log 4.0) (log (pow i 6))) (log (* 4.0 (pow i 6))) (exp (* 4.0 (pow i 6))) (* (* (* 4.0 4.0) 4.0) (* (* (pow i 6) (pow i 6)) (pow i 6))) (* (cbrt (* 4.0 (pow i 6))) (cbrt (* 4.0 (pow i 6)))) (cbrt (* 4.0 (pow i 6))) (* (* (* 4.0 (pow i 6)) (* 4.0 (pow i 6))) (* 4.0 (pow i 6))) (sqrt (* 4.0 (pow i 6))) (sqrt (* 4.0 (pow i 6))) (* (sqrt 4.0) (pow (sqrt i) 6)) (* (sqrt 4.0) (pow (sqrt i) 6)) (* (sqrt 4.0) (sqrt (pow i 6))) (* (sqrt 4.0) (sqrt (pow i 6))) (* (sqrt 4.0) (pow i (/ 6 2))) (* (sqrt 4.0) (pow i (/ 6 2))) (* 4.0 (pow (* (cbrt i) (cbrt i)) 6)) (* 4.0 (pow (sqrt i) 6)) (* 4.0 (pow 1 6)) (* 4.0 (* (cbrt (pow i 6)) (cbrt (pow i 6)))) (* 4.0 (sqrt (pow i 6))) (* 4.0 1) (* 4.0 (pow i (/ 6 2))) (* (cbrt 4.0) (pow i 6)) (* (sqrt 4.0) (pow i 6)) (* 4.0 (pow i 6)) (* 0.25 (pow i 2)) (* 0.25 (pow i 2)) (* 0.25 (pow i 2)) (* 4.0 (pow i 6)) (* 4.0 (pow i 6)) (* 4.0 (pow i 6)) 0.739 * * [simplify]: iteration 0 : 199 enodes (cost 202 ) 0.744 * * [simplify]: iteration 1 : 795 enodes (cost 176 ) 0.766 * * [simplify]: iteration 2 : 5001 enodes (cost 167 ) 0.767 * [simplify]: Simplified to: (log (* 0.25 (pow i 2))) (log (* 0.25 (pow i 2))) (log (* 0.25 (pow i 2))) (log (* 0.25 (pow i 2))) (exp (* 0.25 (pow i 2))) (pow (* 0.25 (pow i 2)) 3) (* (cbrt (* 0.25 (pow i 2))) (cbrt (* 0.25 (pow i 2)))) (cbrt (* 0.25 (pow i 2))) (pow (* 0.25 (pow i 2)) 3) (sqrt (* 0.25 (pow i 2))) (sqrt (* 0.25 (pow i 2))) (* i (sqrt 0.25)) (* i (sqrt 0.25)) (* i (sqrt 0.25)) (* i (sqrt 0.25)) (* (sqrt 0.25) (sqrt (pow i 2))) (* (sqrt 0.25) (sqrt (pow i 2))) (* i (sqrt 0.25)) (* i (sqrt 0.25)) (* (cbrt i) (* i 0.25)) (* i 0.25) 0.25 (* i 0.25) (* 0.25 (* (cbrt (pow i 2)) (cbrt (pow i 2)))) (* 0.25 (fabs i)) 0.25 (* i 0.25) (* (cbrt 0.25) (pow i 2)) (* (sqrt 0.25) (pow i 2)) (* 0.25 (pow i 2)) (log (* 4.0 (pow i 6))) (log (* 4.0 (pow i 6))) (log (* 4.0 (pow i 6))) (log (* 4.0 (pow i 6))) (exp (* 4.0 (pow i 6))) (pow (* 4.0 (pow i 6)) 3) (* (cbrt (* 4.0 (pow i 6))) (cbrt (* 4.0 (pow i 6)))) (cbrt (* 4.0 (pow i 6))) (pow (* 4.0 (pow i 6)) 3) (sqrt (* 4.0 (pow i 6))) (sqrt (* 4.0 (pow i 6))) (* (sqrt 4.0) (pow i 3)) (* (sqrt 4.0) (pow i 3)) (* (sqrt 4.0) (sqrt (pow i 6))) (* (sqrt 4.0) (sqrt (pow i 6))) (* (sqrt 4.0) (pow i 3)) (* (sqrt 4.0) (pow i 3)) (* (pow i 4) 4.0) (* 4.0 (pow i 3)) 4.0 (* (pow i 4) 4.0) (* 4.0 (sqrt (pow i 6))) 4.0 (* 4.0 (pow i 3)) (* (cbrt 4.0) (pow i 6)) (* (sqrt 4.0) (pow i 6)) (* 4.0 (pow i 6)) (* 0.25 (pow i 2)) (* 0.25 (pow i 2)) (* 0.25 (pow i 2)) (* 4.0 (pow i 6)) (* 4.0 (pow i 6)) (* 4.0 (pow i 6)) 0.770 * * * [progress]: adding candidates to table 0.871 * * [progress]: iteration 4 / 4 0.872 * * * [progress]: picking best candidate 0.874 * * * * [pick]: Picked # 0.874 * * * [progress]: localizing error 0.885 * * * [progress]: generating rewritten candidates 0.885 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2) 0.890 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 0.894 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.914 * * * [progress]: generating series expansions 0.914 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2) 0.914 * [approximate]: Taking taylor expansion of (/ 1 (pow i 2)) in (i) around 0 0.914 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.914 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.914 * [taylor]: Taking taylor expansion of i in i 0.915 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.915 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.915 * [taylor]: Taking taylor expansion of i in i 0.922 * [approximate]: Taking taylor expansion of (pow i 2) in (i) around 0 0.922 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.922 * [taylor]: Taking taylor expansion of i in i 0.922 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.922 * [taylor]: Taking taylor expansion of i in i 0.926 * [approximate]: Taking taylor expansion of (pow i 2) in (i) around 0 0.926 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.926 * [taylor]: Taking taylor expansion of i in i 0.926 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.926 * [taylor]: Taking taylor expansion of i in i 0.930 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 0.930 * [approximate]: Taking taylor expansion of (/ 1 (pow i 4)) in (i) around 0 0.930 * [taylor]: Taking taylor expansion of (/ 1 (pow i 4)) in i 0.930 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.930 * [taylor]: Taking taylor expansion of i in i 0.931 * [taylor]: Taking taylor expansion of (/ 1 (pow i 4)) in i 0.931 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.931 * [taylor]: Taking taylor expansion of i in i 0.942 * [approximate]: Taking taylor expansion of (pow i 4) in (i) around 0 0.942 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.942 * [taylor]: Taking taylor expansion of i in i 0.942 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.942 * [taylor]: Taking taylor expansion of i in i 0.949 * [approximate]: Taking taylor expansion of (pow i 4) in (i) around 0 0.949 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.949 * [taylor]: Taking taylor expansion of i in i 0.949 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.949 * [taylor]: Taking taylor expansion of i in i 0.957 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.957 * [approximate]: Taking taylor expansion of (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) in (i) around 0 0.957 * [taylor]: Taking taylor expansion of (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) in i 0.957 * [taylor]: Taking taylor expansion of (* 0.00390625 (/ 1 (pow i 4))) in i 0.957 * [taylor]: Taking taylor expansion of 0.00390625 in i 0.957 * [taylor]: Taking taylor expansion of (/ 1 (pow i 4)) in i 0.957 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.957 * [taylor]: Taking taylor expansion of i in i 0.958 * [taylor]: Taking taylor expansion of (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625) in i 0.958 * [taylor]: Taking taylor expansion of (* 0.015625 (/ 1 (pow i 2))) in i 0.958 * [taylor]: Taking taylor expansion of 0.015625 in i 0.958 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.958 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.958 * [taylor]: Taking taylor expansion of i in i 0.959 * [taylor]: Taking taylor expansion of 0.0625 in i 0.959 * [taylor]: Taking taylor expansion of (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) in i 0.959 * [taylor]: Taking taylor expansion of (* 0.00390625 (/ 1 (pow i 4))) in i 0.959 * [taylor]: Taking taylor expansion of 0.00390625 in i 0.959 * [taylor]: Taking taylor expansion of (/ 1 (pow i 4)) in i 0.959 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.959 * [taylor]: Taking taylor expansion of i in i 0.960 * [taylor]: Taking taylor expansion of (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625) in i 0.960 * [taylor]: Taking taylor expansion of (* 0.015625 (/ 1 (pow i 2))) in i 0.960 * [taylor]: Taking taylor expansion of 0.015625 in i 0.960 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.960 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.960 * [taylor]: Taking taylor expansion of i in i 0.960 * [taylor]: Taking taylor expansion of 0.0625 in i 0.974 * [approximate]: Taking taylor expansion of (+ (* 0.015625 (pow i 2)) (+ (* 0.00390625 (pow i 4)) 0.0625)) in (i) around 0 0.974 * [taylor]: Taking taylor expansion of (+ (* 0.015625 (pow i 2)) (+ (* 0.00390625 (pow i 4)) 0.0625)) in i 0.974 * [taylor]: Taking taylor expansion of (* 0.015625 (pow i 2)) in i 0.974 * [taylor]: Taking taylor expansion of 0.015625 in i 0.974 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.974 * [taylor]: Taking taylor expansion of i in i 0.974 * [taylor]: Taking taylor expansion of (+ (* 0.00390625 (pow i 4)) 0.0625) in i 0.974 * [taylor]: Taking taylor expansion of (* 0.00390625 (pow i 4)) in i 0.974 * [taylor]: Taking taylor expansion of 0.00390625 in i 0.974 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.974 * [taylor]: Taking taylor expansion of i in i 0.974 * [taylor]: Taking taylor expansion of 0.0625 in i 0.974 * [taylor]: Taking taylor expansion of (+ (* 0.015625 (pow i 2)) (+ (* 0.00390625 (pow i 4)) 0.0625)) in i 0.974 * [taylor]: Taking taylor expansion of (* 0.015625 (pow i 2)) in i 0.974 * [taylor]: Taking taylor expansion of 0.015625 in i 0.974 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.974 * [taylor]: Taking taylor expansion of i in i 0.974 * [taylor]: Taking taylor expansion of (+ (* 0.00390625 (pow i 4)) 0.0625) in i 0.974 * [taylor]: Taking taylor expansion of (* 0.00390625 (pow i 4)) in i 0.974 * [taylor]: Taking taylor expansion of 0.00390625 in i 0.974 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.974 * [taylor]: Taking taylor expansion of i in i 0.974 * [taylor]: Taking taylor expansion of 0.0625 in i 0.980 * [approximate]: Taking taylor expansion of (+ (* 0.015625 (pow i 2)) (+ (* 0.00390625 (pow i 4)) 0.0625)) in (i) around 0 0.980 * [taylor]: Taking taylor expansion of (+ (* 0.015625 (pow i 2)) (+ (* 0.00390625 (pow i 4)) 0.0625)) in i 0.980 * [taylor]: Taking taylor expansion of (* 0.015625 (pow i 2)) in i 0.980 * [taylor]: Taking taylor expansion of 0.015625 in i 0.980 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.980 * [taylor]: Taking taylor expansion of i in i 0.980 * [taylor]: Taking taylor expansion of (+ (* 0.00390625 (pow i 4)) 0.0625) in i 0.980 * [taylor]: Taking taylor expansion of (* 0.00390625 (pow i 4)) in i 0.980 * [taylor]: Taking taylor expansion of 0.00390625 in i 0.980 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.981 * [taylor]: Taking taylor expansion of i in i 0.981 * [taylor]: Taking taylor expansion of 0.0625 in i 0.981 * [taylor]: Taking taylor expansion of (+ (* 0.015625 (pow i 2)) (+ (* 0.00390625 (pow i 4)) 0.0625)) in i 0.981 * [taylor]: Taking taylor expansion of (* 0.015625 (pow i 2)) in i 0.981 * [taylor]: Taking taylor expansion of 0.015625 in i 0.981 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.981 * [taylor]: Taking taylor expansion of i in i 0.981 * [taylor]: Taking taylor expansion of (+ (* 0.00390625 (pow i 4)) 0.0625) in i 0.981 * [taylor]: Taking taylor expansion of (* 0.00390625 (pow i 4)) in i 0.981 * [taylor]: Taking taylor expansion of 0.00390625 in i 0.981 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.981 * [taylor]: Taking taylor expansion of i in i 0.981 * [taylor]: Taking taylor expansion of 0.0625 in i 0.986 * * * [progress]: simplifying candidates 0.988 * [simplify]: Simplifying using # : (neg 2) (neg (* (log i) 2)) (neg (* (log i) 2)) (neg (log (pow i 2))) (- 0 (* (log i) 2)) (- 0 (* (log i) 2)) (- 0 (log (pow i 2))) (- (log 1) (* (log i) 2)) (- (log 1) (* (log i) 2)) (- (log 1) (log (pow i 2))) (log (/ 1 (pow i 2))) (exp (/ 1 (pow i 2))) (/ (* (* 1 1) 1) (* (* (pow i 2) (pow i 2)) (pow i 2))) (* (cbrt (/ 1 (pow i 2))) (cbrt (/ 1 (pow i 2)))) (cbrt (/ 1 (pow i 2))) (* (* (/ 1 (pow i 2)) (/ 1 (pow i 2))) (/ 1 (pow i 2))) (sqrt (/ 1 (pow i 2))) (sqrt (/ 1 (pow i 2))) (neg 1) (neg (pow i 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt i) (cbrt i)) 2)) (/ (cbrt 1) (pow (cbrt i) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt i) 2)) (/ (cbrt 1) (pow (sqrt i) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 2)) (/ (cbrt 1) (pow i 2)) (/ (* (cbrt 1) (cbrt 1)) i) (/ (cbrt 1) i) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow i 2)) (cbrt (pow i 2)))) (/ (cbrt 1) (cbrt (pow i 2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow i 2))) (/ (cbrt 1) (sqrt (pow i 2))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow i 2)) (/ (* (cbrt 1) (cbrt 1)) (pow i (/ 2 2))) (/ (cbrt 1) (pow i (/ 2 2))) (/ (sqrt 1) (pow (* (cbrt i) (cbrt i)) 2)) (/ (sqrt 1) (pow (cbrt i) 2)) (/ (sqrt 1) (pow (sqrt i) 2)) (/ (sqrt 1) (pow (sqrt i) 2)) (/ (sqrt 1) (pow 1 2)) (/ (sqrt 1) (pow i 2)) (/ (sqrt 1) i) (/ (sqrt 1) i) (/ (sqrt 1) (* (cbrt (pow i 2)) (cbrt (pow i 2)))) (/ (sqrt 1) (cbrt (pow i 2))) (/ (sqrt 1) (sqrt (pow i 2))) (/ (sqrt 1) (sqrt (pow i 2))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow i 2)) (/ (sqrt 1) (pow i (/ 2 2))) (/ (sqrt 1) (pow i (/ 2 2))) (/ 1 (pow (* (cbrt i) (cbrt i)) 2)) (/ 1 (pow (cbrt i) 2)) (/ 1 (pow (sqrt i) 2)) (/ 1 (pow (sqrt i) 2)) (/ 1 (pow 1 2)) (/ 1 (pow i 2)) (/ 1 i) (/ 1 i) (/ 1 (* (cbrt (pow i 2)) (cbrt (pow i 2)))) (/ 1 (cbrt (pow i 2))) (/ 1 (sqrt (pow i 2))) (/ 1 (sqrt (pow i 2))) (/ 1 1) (/ 1 (pow i 2)) (/ 1 (pow i (/ 2 2))) (/ 1 (pow i (/ 2 2))) (/ 1 (pow i 2)) (/ (pow i 2) 1) (/ 1 (pow (* (cbrt i) (cbrt i)) 2)) (/ 1 (pow (sqrt i) 2)) (/ 1 (pow 1 2)) (/ 1 i) (/ 1 (* (cbrt (pow i 2)) (cbrt (pow i 2)))) (/ 1 (sqrt (pow i 2))) (/ 1 1) (/ 1 (pow i (/ 2 2))) (/ (pow i 2) (cbrt 1)) (/ (pow i 2) (sqrt 1)) (/ (pow i 2) 1) (neg 4) (neg (* (log i) 4)) (neg (* (log i) 4)) (neg (log (pow i 4))) (- 0 (* (log i) 4)) 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0.0625)) 0.998 * * [simplify]: iteration 0 : 474 enodes (cost 797 ) 1.006 * * [simplify]: iteration 1 : 2042 enodes (cost 702 ) 1.043 * * [simplify]: iteration 2 : 5001 enodes (cost 626 ) 1.047 * [simplify]: Simplified to: -2 (* (log i) -2) (* (log i) -2) (* (log i) -2) (* (log i) -2) (* (log i) -2) (* (log i) -2) (* (log i) -2) (* (log i) -2) (* (log i) -2) (* (log i) -2) (exp (/ 1 (pow i 2))) (pow (/ 1 (pow i 2)) 3) (* (cbrt (/ 1 (pow i 2))) (cbrt (/ 1 (pow i 2)))) (cbrt (/ 1 (pow i 2))) (pow (/ 1 (pow i 2)) 3) (fabs (/ 1 i)) (fabs (/ 1 i)) -1 (neg (pow i 2)) (/ 1 (pow (cbrt i) 4)) (/ 1 (pow (cbrt i) 2)) (/ 1 i) (/ 1 i) 1 (/ 1 (pow i 2)) (/ 1 i) (/ 1 i) (/ 1 (* (cbrt (pow i 2)) (cbrt (pow i 2)))) (/ 1 (cbrt (pow i 2))) (/ 1 (fabs i)) (/ 1 (fabs i)) 1 (/ 1 (pow i 2)) (/ 1 i) (/ 1 i) (/ 1 (pow (cbrt i) 4)) (/ 1 (pow (cbrt i) 2)) (/ 1 i) (/ 1 i) 1 (/ 1 (pow i 2)) (/ 1 i) (/ 1 i) (/ 1 (* (cbrt (pow i 2)) (cbrt (pow i 2)))) (/ 1 (cbrt (pow i 2))) (/ 1 (fabs i)) (/ 1 (fabs i)) 1 (/ 1 (pow 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0.015625 (/ 1 (pow i 2)))) (+ (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625) (/ 0.00390625 (pow i 4)))) (- (- (/ 0.00390625 (pow i 4)) 0.0625) (* 0.015625 (/ 1 (pow i 2)))) (+ (* 0.015625 (/ 1 (pow i 2))) (/ 0.00390625 (pow i 4))) (/ 1 (pow i 2)) (/ 1 (pow i 2)) (/ 1 (pow i 2)) (/ 1 (pow i 4)) (/ 1 (pow i 4)) (/ 1 (pow i 4)) (+ (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625) (/ 0.00390625 (pow i 4))) (+ (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625) (/ 0.00390625 (pow i 4))) (+ (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625) (/ 0.00390625 (pow i 4))) 1.048 * * * [progress]: adding candidates to table 1.196 * [progress]: [Phase 3 of 3] Extracting. 1.196 * * [regime]: Finding splitpoints for: (# # #) 1.196 * * * [regime-changes]: Trying 1 branch expressions: (i) 1.196 * * * * [regimes]: Trying to branch on i from (# # #) 1.213 * * * [regime]: Found split indices: #