20.752 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.018 * [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)) 0.020 * * [simplify]: iteration 0 : 32 enodes (cost 12 ) 0.022 * * [simplify]: iteration 1 : 172 enodes (cost 11 ) 0.026 * * [simplify]: iteration 2 : 974 enodes (cost 9 ) 0.048 * * [simplify]: iteration 3 : 5001 enodes (cost 8 ) 0.048 * [simplify]: Simplified to: (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) 0.051 * * [progress]: iteration 1 / 4 0.051 * * * [progress]: picking best candidate 0.053 * * * * [pick]: Picked # 0.053 * * * [progress]: localizing error 0.061 * * * [progress]: generating rewritten candidates 0.061 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.080 * * * [progress]: generating series expansions 0.080 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.081 * [approximate]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in (i) around 0 0.081 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in i 0.081 * [taylor]: Taking taylor expansion of 0.25 in i 0.081 * [taylor]: Taking taylor expansion of (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0)) in i 0.081 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.081 * [taylor]: Taking taylor expansion of i in i 0.081 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.081 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.081 * [taylor]: Taking taylor expansion of 4.0 in i 0.081 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.081 * [taylor]: Taking taylor expansion of i in i 0.081 * [taylor]: Taking taylor expansion of 1.0 in i 0.083 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in i 0.083 * [taylor]: Taking taylor expansion of 0.25 in i 0.083 * [taylor]: Taking taylor expansion of (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0)) in i 0.083 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.083 * [taylor]: Taking taylor expansion of i in i 0.083 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.083 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.083 * [taylor]: Taking taylor expansion of 4.0 in i 0.083 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.083 * [taylor]: Taking taylor expansion of i in i 0.083 * [taylor]: Taking taylor expansion of 1.0 in i 0.106 * [approximate]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.106 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.106 * [taylor]: Taking taylor expansion of 0.25 in i 0.106 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.106 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.106 * [taylor]: Taking taylor expansion of i in i 0.106 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.106 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.106 * [taylor]: Taking taylor expansion of 4.0 in i 0.106 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.106 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.106 * [taylor]: Taking taylor expansion of i in i 0.106 * [taylor]: Taking taylor expansion of 1.0 in i 0.108 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.108 * [taylor]: Taking taylor expansion of 0.25 in i 0.108 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.108 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.108 * [taylor]: Taking taylor expansion of i in i 0.108 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.108 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.108 * [taylor]: Taking taylor expansion of 4.0 in i 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.108 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.108 * [taylor]: Taking taylor expansion of i in i 0.108 * [taylor]: Taking taylor expansion of 1.0 in i 0.131 * [approximate]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.131 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.131 * [taylor]: Taking taylor expansion of 0.25 in i 0.131 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.131 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.131 * [taylor]: Taking taylor expansion of i in i 0.131 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.131 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.131 * [taylor]: Taking taylor expansion of 4.0 in i 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.131 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.131 * [taylor]: Taking taylor expansion of i in i 0.131 * [taylor]: Taking taylor expansion of 1.0 in i 0.132 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.133 * [taylor]: Taking taylor expansion of 0.25 in i 0.133 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.133 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.133 * [taylor]: Taking taylor expansion of i in i 0.133 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.133 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.133 * [taylor]: Taking taylor expansion of 4.0 in i 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.133 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.133 * [taylor]: Taking taylor expansion of i in i 0.133 * [taylor]: Taking taylor expansion of 1.0 in i 0.161 * * * [progress]: simplifying candidates 0.161 * [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)) 0.166 * * [simplify]: iteration 0 : 319 enodes (cost 406 ) 0.172 * * [simplify]: iteration 1 : 1586 enodes (cost 285 ) 0.199 * * [simplify]: iteration 2 : 5001 enodes (cost 285 ) 0.201 * [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)) 0.201 * * * [progress]: adding candidates to table 0.250 * * [progress]: iteration 2 / 4 0.250 * * * [progress]: picking best candidate 0.255 * * * * [pick]: Picked # 0.255 * * * [progress]: localizing error 0.263 * * * [progress]: generating rewritten candidates 0.263 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.273 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.292 * * * [progress]: generating series expansions 0.293 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.293 * [approximate]: Taking taylor expansion of (/ i (- (* 4.0 (pow i 2)) 1.0)) in (i) around 0 0.293 * [taylor]: Taking taylor expansion of (/ i (- (* 4.0 (pow i 2)) 1.0)) in i 0.293 * [taylor]: Taking taylor expansion of i in i 0.293 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.293 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.293 * [taylor]: Taking taylor expansion of 4.0 in i 0.293 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.293 * [taylor]: Taking taylor expansion of i in i 0.293 * [taylor]: Taking taylor expansion of 1.0 in i 0.294 * [taylor]: Taking taylor expansion of (/ i (- (* 4.0 (pow i 2)) 1.0)) in i 0.294 * [taylor]: Taking taylor expansion of i in i 0.294 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.295 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.295 * [taylor]: Taking taylor expansion of 4.0 in i 0.295 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.295 * [taylor]: Taking taylor expansion of i in i 0.295 * [taylor]: Taking taylor expansion of 1.0 in i 0.309 * [approximate]: Taking taylor expansion of (/ 1 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.309 * [taylor]: Taking taylor expansion of (/ 1 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.309 * [taylor]: Taking taylor expansion of (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.309 * [taylor]: Taking taylor expansion of i in i 0.309 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.309 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.310 * [taylor]: Taking taylor expansion of 4.0 in i 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.310 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.310 * [taylor]: Taking taylor expansion of i in i 0.310 * [taylor]: Taking taylor expansion of 1.0 in i 0.318 * [taylor]: Taking taylor expansion of (/ 1 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.318 * [taylor]: Taking taylor expansion of (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.318 * [taylor]: Taking taylor expansion of i in i 0.318 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.318 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.318 * [taylor]: Taking taylor expansion of 4.0 in i 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.318 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.318 * [taylor]: Taking taylor expansion of i in i 0.318 * [taylor]: Taking taylor expansion of 1.0 in i 0.343 * [approximate]: Taking taylor expansion of (/ -1 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.343 * [taylor]: Taking taylor expansion of (/ -1 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.343 * [taylor]: Taking taylor expansion of -1 in i 0.343 * [taylor]: Taking taylor expansion of (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.343 * [taylor]: Taking taylor expansion of i in i 0.343 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.343 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.343 * [taylor]: Taking taylor expansion of 4.0 in i 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.343 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.343 * [taylor]: Taking taylor expansion of i in i 0.344 * [taylor]: Taking taylor expansion of 1.0 in i 0.347 * [taylor]: Taking taylor expansion of (/ -1 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.347 * [taylor]: Taking taylor expansion of -1 in i 0.347 * [taylor]: Taking taylor expansion of (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.347 * [taylor]: Taking taylor expansion of i in i 0.347 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.347 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.347 * [taylor]: Taking taylor expansion of 4.0 in i 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.347 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.347 * [taylor]: Taking taylor expansion of i in i 0.348 * [taylor]: Taking taylor expansion of 1.0 in i 0.374 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.374 * [approximate]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in (i) around 0 0.375 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in i 0.375 * [taylor]: Taking taylor expansion of 0.25 in i 0.375 * [taylor]: Taking taylor expansion of (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0)) in i 0.375 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.375 * [taylor]: Taking taylor expansion of i in i 0.375 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.375 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.375 * [taylor]: Taking taylor expansion of 4.0 in i 0.375 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.375 * [taylor]: Taking taylor expansion of i in i 0.375 * [taylor]: Taking taylor expansion of 1.0 in i 0.376 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in i 0.376 * [taylor]: Taking taylor expansion of 0.25 in i 0.376 * [taylor]: Taking taylor expansion of (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0)) in i 0.376 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.376 * [taylor]: Taking taylor expansion of i in i 0.376 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.376 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.376 * [taylor]: Taking taylor expansion of 4.0 in i 0.376 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.376 * [taylor]: Taking taylor expansion of i in i 0.376 * [taylor]: Taking taylor expansion of 1.0 in i 0.404 * [approximate]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.404 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.404 * [taylor]: Taking taylor expansion of 0.25 in i 0.404 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.404 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.404 * [taylor]: Taking taylor expansion of i in i 0.405 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.405 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.405 * [taylor]: Taking taylor expansion of 4.0 in i 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.405 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.405 * [taylor]: Taking taylor expansion of i in i 0.405 * [taylor]: Taking taylor expansion of 1.0 in i 0.406 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.407 * [taylor]: Taking taylor expansion of 0.25 in i 0.407 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.407 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.407 * [taylor]: Taking taylor expansion of i in i 0.407 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.407 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.407 * [taylor]: Taking taylor expansion of 4.0 in i 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.407 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.407 * [taylor]: Taking taylor expansion of i in i 0.407 * [taylor]: Taking taylor expansion of 1.0 in i 0.430 * [approximate]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.430 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.430 * [taylor]: Taking taylor expansion of 0.25 in i 0.430 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.430 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.431 * [taylor]: Taking taylor expansion of i in i 0.431 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.431 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.431 * [taylor]: Taking taylor expansion of 4.0 in i 0.431 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.431 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.431 * [taylor]: Taking taylor expansion of i in i 0.431 * [taylor]: Taking taylor expansion of 1.0 in i 0.432 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.432 * [taylor]: Taking taylor expansion of 0.25 in i 0.432 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.432 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.432 * [taylor]: Taking taylor expansion of i in i 0.432 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.432 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.432 * [taylor]: Taking taylor expansion of 4.0 in i 0.433 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.433 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.433 * [taylor]: Taking taylor expansion of i in i 0.433 * [taylor]: Taking taylor expansion of 1.0 in i 0.455 * * * [progress]: simplifying candidates 0.457 * [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)) 0.464 * * [simplify]: iteration 0 : 549 enodes (cost 997 ) 0.475 * * [simplify]: iteration 1 : 2561 enodes (cost 859 ) 0.516 * * [simplify]: iteration 2 : 5001 enodes (cost 846 ) 0.521 * [simplify]: Simplified to: (expm1 (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (log1p (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (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))) (- 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)) (/ (cbrt i) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (cbrt i) (/ (fma 2.0 i (sqrt 1.0)) (cbrt i))) (/ (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) (fma 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 (fma 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 1.0 3)) (pow (* 2.0 i) 6))) (/ i (fma (pow (* 2.0 i) 3) (* 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 (- (* (* 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)) (* (/ (fma 1.0 (fma (* 2.0 i) (* 2.0 i) 1.0) (* (* (* 2.0 i) (* 2.0 i)) (* (* 2.0 i) (* 2.0 i)))) 2.0) (/ i 2.0)) (/ (* (fma (* 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))) (fma 16.0 (pow i 5) (* 1.0 i))) (fma 0.015625 (/ 1 (pow i 5)) (fma 0.25 (/ 1 i) (/ 0.0625 (pow i 3)))) (fma 0.015625 (/ 1 (pow i 5)) (fma 0.25 (/ 1 i) (/ 0.0625 (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)) 0.522 * * * [progress]: adding candidates to table 0.701 * * [progress]: iteration 3 / 4 0.701 * * * [progress]: picking best candidate 0.705 * * * * [pick]: Picked # 0.705 * * * [progress]: localizing error 0.716 * * * [progress]: generating rewritten candidates 0.716 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.736 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.750 * * * [progress]: generating series expansions 0.750 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.751 * [approximate]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (* (- (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))))) in (i) around 0 0.751 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (* (- (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))))) in i 0.751 * [taylor]: Taking taylor expansion of 0.25 in i 0.751 * [taylor]: Taking taylor expansion of (/ (pow i 2) (* (- (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0)))) in i 0.751 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.751 * [taylor]: Taking taylor expansion of i in i 0.751 * [taylor]: Taking taylor expansion of (* (- (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))) in i 0.751 * [taylor]: Taking taylor expansion of (- (* 2.0 i) (sqrt 1.0)) in i 0.751 * [taylor]: Taking taylor expansion of (* 2.0 i) in i 0.751 * [taylor]: Taking taylor expansion of 2.0 in i 0.751 * [taylor]: Taking taylor expansion of i in i 0.751 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.751 * [taylor]: Taking taylor expansion of 1.0 in i 0.752 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (sqrt 1.0)) in i 0.752 * [taylor]: Taking taylor expansion of (* 2.0 i) in i 0.752 * [taylor]: Taking taylor expansion of 2.0 in i 0.752 * [taylor]: Taking taylor expansion of i in i 0.752 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.752 * [taylor]: Taking taylor expansion of 1.0 in i 0.758 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (* (- (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))))) in i 0.758 * [taylor]: Taking taylor expansion of 0.25 in i 0.758 * [taylor]: Taking taylor expansion of (/ (pow i 2) (* (- (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0)))) in i 0.758 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.758 * [taylor]: Taking taylor expansion of i in i 0.758 * [taylor]: Taking taylor expansion of (* (- (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))) in i 0.758 * [taylor]: Taking taylor expansion of (- (* 2.0 i) (sqrt 1.0)) in i 0.758 * [taylor]: Taking taylor expansion of (* 2.0 i) in i 0.758 * [taylor]: Taking taylor expansion of 2.0 in i 0.758 * [taylor]: Taking taylor expansion of i in i 0.758 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.758 * [taylor]: Taking taylor expansion of 1.0 in i 0.759 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (sqrt 1.0)) in i 0.759 * [taylor]: Taking taylor expansion of (* 2.0 i) in i 0.759 * [taylor]: Taking taylor expansion of 2.0 in i 0.759 * [taylor]: Taking taylor expansion of i in i 0.759 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.759 * [taylor]: Taking taylor expansion of 1.0 in i 0.835 * [approximate]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (* (+ (sqrt 1.0) (* 2.0 (/ 1 i))) (- (* 2.0 (/ 1 i)) (sqrt 1.0))))) in (i) around 0 0.835 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (* (+ (sqrt 1.0) (* 2.0 (/ 1 i))) (- (* 2.0 (/ 1 i)) (sqrt 1.0))))) in i 0.835 * [taylor]: Taking taylor expansion of 0.25 in i 0.835 * [taylor]: Taking taylor expansion of (* (pow i 2) (* (+ (sqrt 1.0) (* 2.0 (/ 1 i))) (- (* 2.0 (/ 1 i)) (sqrt 1.0)))) in i 0.835 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.835 * [taylor]: Taking taylor expansion of i in i 0.835 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (* 2.0 (/ 1 i))) (- (* 2.0 (/ 1 i)) (sqrt 1.0))) in i 0.835 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (* 2.0 (/ 1 i))) in i 0.835 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.835 * [taylor]: Taking taylor expansion of 1.0 in i 0.836 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 0.836 * [taylor]: Taking taylor expansion of 2.0 in i 0.836 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.836 * [taylor]: Taking taylor expansion of i in i 0.836 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 i)) (sqrt 1.0)) in i 0.836 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 0.836 * [taylor]: Taking taylor expansion of 2.0 in i 0.836 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.836 * [taylor]: Taking taylor expansion of i in i 0.837 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.837 * [taylor]: Taking taylor expansion of 1.0 in i 0.839 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (* (+ (sqrt 1.0) (* 2.0 (/ 1 i))) (- (* 2.0 (/ 1 i)) (sqrt 1.0))))) in i 0.839 * [taylor]: Taking taylor expansion of 0.25 in i 0.839 * [taylor]: Taking taylor expansion of (* (pow i 2) (* (+ (sqrt 1.0) (* 2.0 (/ 1 i))) (- (* 2.0 (/ 1 i)) (sqrt 1.0)))) in i 0.839 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.839 * [taylor]: Taking taylor expansion of i in i 0.839 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (* 2.0 (/ 1 i))) (- (* 2.0 (/ 1 i)) (sqrt 1.0))) in i 0.839 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (* 2.0 (/ 1 i))) in i 0.839 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.839 * [taylor]: Taking taylor expansion of 1.0 in i 0.840 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 0.840 * [taylor]: Taking taylor expansion of 2.0 in i 0.840 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.840 * [taylor]: Taking taylor expansion of i in i 0.840 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 i)) (sqrt 1.0)) in i 0.840 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 0.840 * [taylor]: Taking taylor expansion of 2.0 in i 0.840 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.840 * [taylor]: Taking taylor expansion of i in i 0.841 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.841 * [taylor]: Taking taylor expansion of 1.0 in i 0.888 * [approximate]: Taking taylor expansion of (/ -0.25 (* (pow i 2) (* (- (sqrt 1.0) (* 2.0 (/ 1 i))) (+ (sqrt 1.0) (* 2.0 (/ 1 i)))))) in (i) around 0 0.888 * [taylor]: Taking taylor expansion of (/ -0.25 (* (pow i 2) (* (- (sqrt 1.0) (* 2.0 (/ 1 i))) (+ (sqrt 1.0) (* 2.0 (/ 1 i)))))) in i 0.889 * [taylor]: Taking taylor expansion of -0.25 in i 0.889 * [taylor]: Taking taylor expansion of (* (pow i 2) (* (- (sqrt 1.0) (* 2.0 (/ 1 i))) (+ (sqrt 1.0) (* 2.0 (/ 1 i))))) in i 0.889 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.889 * [taylor]: Taking taylor expansion of i in i 0.889 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (* 2.0 (/ 1 i))) (+ (sqrt 1.0) (* 2.0 (/ 1 i)))) in i 0.889 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (* 2.0 (/ 1 i))) in i 0.889 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.889 * [taylor]: Taking taylor expansion of 1.0 in i 0.889 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 0.889 * [taylor]: Taking taylor expansion of 2.0 in i 0.889 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.889 * [taylor]: Taking taylor expansion of i in i 0.890 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (* 2.0 (/ 1 i))) in i 0.890 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.890 * [taylor]: Taking taylor expansion of 1.0 in i 0.890 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 0.890 * [taylor]: Taking taylor expansion of 2.0 in i 0.890 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.890 * [taylor]: Taking taylor expansion of i in i 0.893 * [taylor]: Taking taylor expansion of (/ -0.25 (* (pow i 2) (* (- (sqrt 1.0) (* 2.0 (/ 1 i))) (+ (sqrt 1.0) (* 2.0 (/ 1 i)))))) in i 0.893 * [taylor]: Taking taylor expansion of -0.25 in i 0.893 * [taylor]: Taking taylor expansion of (* (pow i 2) (* (- (sqrt 1.0) (* 2.0 (/ 1 i))) (+ (sqrt 1.0) (* 2.0 (/ 1 i))))) in i 0.893 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.893 * [taylor]: Taking taylor expansion of i in i 0.893 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (* 2.0 (/ 1 i))) (+ (sqrt 1.0) (* 2.0 (/ 1 i)))) in i 0.893 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (* 2.0 (/ 1 i))) in i 0.893 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.893 * [taylor]: Taking taylor expansion of 1.0 in i 0.894 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 0.894 * [taylor]: Taking taylor expansion of 2.0 in i 0.894 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.894 * [taylor]: Taking taylor expansion of i in i 0.894 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (* 2.0 (/ 1 i))) in i 0.894 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.895 * [taylor]: Taking taylor expansion of 1.0 in i 0.895 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 0.895 * [taylor]: Taking taylor expansion of 2.0 in i 0.895 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.895 * [taylor]: Taking taylor expansion of i in i 0.944 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.945 * [approximate]: Taking taylor expansion of (/ 1 (+ (* 2.0 i) (sqrt 1.0))) in (i) around 0 0.945 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 2.0 i) (sqrt 1.0))) in i 0.945 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (sqrt 1.0)) in i 0.945 * [taylor]: Taking taylor expansion of (* 2.0 i) in i 0.945 * [taylor]: Taking taylor expansion of 2.0 in i 0.945 * [taylor]: Taking taylor expansion of i in i 0.945 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.945 * [taylor]: Taking taylor expansion of 1.0 in i 0.947 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 2.0 i) (sqrt 1.0))) in i 0.947 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (sqrt 1.0)) in i 0.947 * [taylor]: Taking taylor expansion of (* 2.0 i) in i 0.947 * [taylor]: Taking taylor expansion of 2.0 in i 0.947 * [taylor]: Taking taylor expansion of i in i 0.947 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.947 * [taylor]: Taking taylor expansion of 1.0 in i 0.968 * [approximate]: Taking taylor expansion of (/ 1 (+ (sqrt 1.0) (* 2.0 (/ 1 i)))) in (i) around 0 0.968 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt 1.0) (* 2.0 (/ 1 i)))) in i 0.968 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (* 2.0 (/ 1 i))) in i 0.968 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.968 * [taylor]: Taking taylor expansion of 1.0 in i 0.969 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 0.969 * [taylor]: Taking taylor expansion of 2.0 in i 0.969 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.969 * [taylor]: Taking taylor expansion of i in i 0.970 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt 1.0) (* 2.0 (/ 1 i)))) in i 0.970 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (* 2.0 (/ 1 i))) in i 0.970 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.970 * [taylor]: Taking taylor expansion of 1.0 in i 0.970 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 0.970 * [taylor]: Taking taylor expansion of 2.0 in i 0.971 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.971 * [taylor]: Taking taylor expansion of i in i 0.990 * [approximate]: Taking taylor expansion of (/ 1 (- (sqrt 1.0) (* 2.0 (/ 1 i)))) in (i) around 0 0.990 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt 1.0) (* 2.0 (/ 1 i)))) in i 0.990 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (* 2.0 (/ 1 i))) in i 0.990 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.990 * [taylor]: Taking taylor expansion of 1.0 in i 0.990 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 0.990 * [taylor]: Taking taylor expansion of 2.0 in i 0.990 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.990 * [taylor]: Taking taylor expansion of i in i 0.992 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt 1.0) (* 2.0 (/ 1 i)))) in i 0.992 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (* 2.0 (/ 1 i))) in i 0.992 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.992 * [taylor]: Taking taylor expansion of 1.0 in i 0.993 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 0.993 * [taylor]: Taking taylor expansion of 2.0 in i 0.993 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.993 * [taylor]: Taking taylor expansion of i in i 1.010 * * * [progress]: simplifying candidates 1.012 * [simplify]: Simplifying using # : (expm1 (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))) (log1p (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))) (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))) (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))) (+ (- (log (+ (* 2.0 i) (sqrt 1.0)))) (+ (- (log i) (log (- (* 2.0 i) (sqrt 1.0)))) (- (log i) (+ (log 2.0) (log 2.0))))) (+ (- (log (+ (* 2.0 i) (sqrt 1.0)))) (+ (- (log i) (log (- (* 2.0 i) (sqrt 1.0)))) (- (log i) (log (* 2.0 2.0))))) (+ (- (log (+ (* 2.0 i) (sqrt 1.0)))) (+ (- (log i) (log (- (* 2.0 i) (sqrt 1.0)))) (log (/ i (* 2.0 2.0))))) (+ (- (log (+ (* 2.0 i) (sqrt 1.0)))) (+ (log (/ i (- (* 2.0 i) (sqrt 1.0)))) (- (log i) (+ (log 2.0) (log 2.0))))) (+ (- (log (+ (* 2.0 i) (sqrt 1.0)))) (+ (log (/ i (- (* 2.0 i) (sqrt 1.0)))) (- (log i) (log (* 2.0 2.0))))) (+ (- (log (+ (* 2.0 i) (sqrt 1.0)))) (+ (log (/ i (- (* 2.0 i) (sqrt 1.0)))) (log (/ i (* 2.0 2.0))))) (+ (- (log (+ (* 2.0 i) (sqrt 1.0)))) (log (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))) (+ (- 0 (log (+ (* 2.0 i) (sqrt 1.0)))) (+ (- (log i) (log (- (* 2.0 i) (sqrt 1.0)))) (- (log i) (+ (log 2.0) (log 2.0))))) (+ (- 0 (log (+ (* 2.0 i) (sqrt 1.0)))) (+ (- (log i) (log (- (* 2.0 i) (sqrt 1.0)))) (- (log i) (log (* 2.0 2.0))))) (+ (- 0 (log (+ (* 2.0 i) (sqrt 1.0)))) (+ (- (log i) (log (- (* 2.0 i) (sqrt 1.0)))) (log (/ i (* 2.0 2.0))))) (+ (- 0 (log (+ (* 2.0 i) (sqrt 1.0)))) (+ (log (/ i (- (* 2.0 i) (sqrt 1.0)))) (- (log i) (+ (log 2.0) (log 2.0))))) (+ (- 0 (log (+ (* 2.0 i) (sqrt 1.0)))) (+ (log (/ i (- (* 2.0 i) (sqrt 1.0)))) (- (log i) (log (* 2.0 2.0))))) (+ (- 0 (log (+ (* 2.0 i) (sqrt 1.0)))) (+ (log (/ i (- (* 2.0 i) (sqrt 1.0)))) (log (/ i (* 2.0 2.0))))) (+ (- 0 (log (+ (* 2.0 i) (sqrt 1.0)))) (log (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))) (+ (- (log 1) (log (+ (* 2.0 i) (sqrt 1.0)))) (+ (- (log i) (log (- (* 2.0 i) (sqrt 1.0)))) (- (log i) (+ (log 2.0) (log 2.0))))) (+ (- (log 1) (log (+ (* 2.0 i) (sqrt 1.0)))) (+ (- (log i) (log (- (* 2.0 i) (sqrt 1.0)))) (- (log i) (log (* 2.0 2.0))))) (+ (- (log 1) (log (+ (* 2.0 i) (sqrt 1.0)))) (+ (- (log i) (log (- (* 2.0 i) (sqrt 1.0)))) (log (/ i (* 2.0 2.0))))) (+ (- (log 1) (log (+ (* 2.0 i) (sqrt 1.0)))) (+ (log (/ i (- (* 2.0 i) (sqrt 1.0)))) (- (log i) (+ (log 2.0) (log 2.0))))) (+ (- (log 1) (log (+ (* 2.0 i) (sqrt 1.0)))) (+ (log (/ i (- (* 2.0 i) (sqrt 1.0)))) (- (log i) (log (* 2.0 2.0))))) (+ (- (log 1) (log (+ (* 2.0 i) (sqrt 1.0)))) (+ (log (/ i (- (* 2.0 i) (sqrt 1.0)))) (log (/ i (* 2.0 2.0))))) (+ (- (log 1) (log (+ (* 2.0 i) (sqrt 1.0)))) (log (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))) (+ (log (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (+ (- (log i) (log (- (* 2.0 i) (sqrt 1.0)))) (- (log i) (+ (log 2.0) (log 2.0))))) (+ (log (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (+ (- (log i) (log (- (* 2.0 i) (sqrt 1.0)))) (- (log i) (log (* 2.0 2.0))))) (+ (log (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (+ (- (log i) (log (- (* 2.0 i) (sqrt 1.0)))) (log (/ i (* 2.0 2.0))))) (+ (log (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (+ (log (/ i (- (* 2.0 i) (sqrt 1.0)))) (- (log i) (+ (log 2.0) (log 2.0))))) (+ (log (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (+ (log (/ i (- (* 2.0 i) (sqrt 1.0)))) (- (log i) (log (* 2.0 2.0))))) (+ (log (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (+ (log (/ i (- (* 2.0 i) (sqrt 1.0)))) (log (/ i (* 2.0 2.0))))) (+ (log (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (log (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))) (log (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))) (exp (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))) (* (/ (* (* 1 1) 1) (* (* (+ (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))) (+ (* 2.0 i) (sqrt 1.0)))) (* (/ (* (* i i) i) (* (* (- (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (- (* 2.0 i) (sqrt 1.0)))) (/ (* (* i i) i) (* (* (* 2.0 2.0) 2.0) (* (* 2.0 2.0) 2.0))))) (* (/ (* (* 1 1) 1) (* (* (+ (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))) (+ (* 2.0 i) (sqrt 1.0)))) (* (/ (* (* i i) i) (* (* (- (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (- (* 2.0 i) (sqrt 1.0)))) (/ (* (* i i) i) (* (* (* 2.0 2.0) (* 2.0 2.0)) (* 2.0 2.0))))) (* (/ (* (* 1 1) 1) (* (* (+ (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))) (+ (* 2.0 i) (sqrt 1.0)))) (* (/ (* (* i i) i) (* (* (- (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (- (* 2.0 i) (sqrt 1.0)))) (* (* (/ i (* 2.0 2.0)) (/ i (* 2.0 2.0))) (/ i (* 2.0 2.0))))) (* (/ (* (* 1 1) 1) (* (* (+ (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))) (+ (* 2.0 i) (sqrt 1.0)))) (* (* (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (- (* 2.0 i) (sqrt 1.0)))) (/ i (- (* 2.0 i) (sqrt 1.0)))) (/ (* (* i i) i) (* (* (* 2.0 2.0) 2.0) (* (* 2.0 2.0) 2.0))))) (* (/ (* (* 1 1) 1) (* (* (+ (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))) (+ (* 2.0 i) (sqrt 1.0)))) (* (* (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (- (* 2.0 i) (sqrt 1.0)))) (/ i (- (* 2.0 i) (sqrt 1.0)))) (/ (* (* i i) i) (* (* (* 2.0 2.0) (* 2.0 2.0)) (* 2.0 2.0))))) (* (/ (* (* 1 1) 1) (* (* (+ (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))) (+ (* 2.0 i) (sqrt 1.0)))) (* (* (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (- (* 2.0 i) (sqrt 1.0)))) (/ i (- (* 2.0 i) (sqrt 1.0)))) (* (* (/ i (* 2.0 2.0)) (/ i (* 2.0 2.0))) (/ i (* 2.0 2.0))))) (* (/ (* (* 1 1) 1) (* (* (+ (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))) (+ (* 2.0 i) (sqrt 1.0)))) (* (* (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))) (* (* (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (* (/ (* (* i i) i) (* (* (- (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (- (* 2.0 i) (sqrt 1.0)))) (/ (* (* i i) i) (* (* (* 2.0 2.0) 2.0) (* (* 2.0 2.0) 2.0))))) (* (* (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (* (/ (* (* i i) i) (* (* (- (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (- (* 2.0 i) (sqrt 1.0)))) (/ (* (* i i) i) (* (* (* 2.0 2.0) (* 2.0 2.0)) (* 2.0 2.0))))) (* (* (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (* (/ (* (* i i) i) (* (* (- (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (- (* 2.0 i) (sqrt 1.0)))) (* (* (/ i (* 2.0 2.0)) (/ i (* 2.0 2.0))) (/ i (* 2.0 2.0))))) (* (* (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (* (* (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (- (* 2.0 i) (sqrt 1.0)))) (/ i (- (* 2.0 i) (sqrt 1.0)))) (/ (* (* i i) i) (* (* (* 2.0 2.0) 2.0) (* (* 2.0 2.0) 2.0))))) (* (* (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (* (* (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (- (* 2.0 i) (sqrt 1.0)))) (/ i (- (* 2.0 i) (sqrt 1.0)))) (/ (* (* i i) i) (* (* (* 2.0 2.0) (* 2.0 2.0)) (* 2.0 2.0))))) (* (* (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (* (* (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (- (* 2.0 i) (sqrt 1.0)))) (/ i (- (* 2.0 i) (sqrt 1.0)))) (* (* (/ i (* 2.0 2.0)) (/ i (* 2.0 2.0))) (/ i (* 2.0 2.0))))) (* (* (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (* (* (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))) (* (cbrt (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))) (cbrt (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))))) (cbrt (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))) (* (* (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))) (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))) (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))) (sqrt (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))) (sqrt (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))) (* 1 (* i i)) (* (+ (* 2.0 i) (sqrt 1.0)) (* (- (* 2.0 i) (sqrt 1.0)) (* 2.0 2.0))) (* 1 (* (/ i (- (* 2.0 i) (sqrt 1.0))) i)) (* (+ (* 2.0 i) (sqrt 1.0)) (* 2.0 2.0)) (* 1 (* i (/ i (* 2.0 2.0)))) (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (/ i (- (* 2.0 i) (sqrt 1.0)))) (* (cbrt (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))) (* (sqrt (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))) (* (/ (cbrt 1) (cbrt (+ (* 2.0 i) (sqrt 1.0)))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))) (* (/ (cbrt 1) (sqrt (+ (* 2.0 i) (sqrt 1.0)))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))) (* (/ (cbrt 1) (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))) (* (/ (sqrt 1) (cbrt (+ (* 2.0 i) (sqrt 1.0)))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))) (* (/ (sqrt 1) (sqrt (+ (* 2.0 i) (sqrt 1.0)))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))) (* (/ (sqrt 1) (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))) (* (/ 1 (cbrt (+ (* 2.0 i) (sqrt 1.0)))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))) (* (/ 1 (sqrt (+ (* 2.0 i) (sqrt 1.0)))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))) (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))) (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))) (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))) (* (+ (* (* 2.0 i) (* 2.0 i)) (- (* (sqrt 1.0) (sqrt 1.0)) (* (* 2.0 i) (sqrt 1.0)))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))) (* (- (* 2.0 i) (sqrt 1.0)) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))) (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* i i)) (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) i)) (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* i (/ i (* 2.0 2.0)))) (* 1 (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))) (expm1 (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (log1p (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (- 1) (- (log (+ (* 2.0 i) (sqrt 1.0)))) (- 0 (log (+ (* 2.0 i) (sqrt 1.0)))) (- (log 1) (log (+ (* 2.0 i) (sqrt 1.0)))) (log (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (exp (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (/ (* (* 1 1) 1) (* (* (+ (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))) (+ (* 2.0 i) (sqrt 1.0)))) (* (cbrt (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (cbrt (/ 1 (+ (* 2.0 i) (sqrt 1.0))))) (cbrt (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (* (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (sqrt (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (sqrt (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (- 1) (- (+ (* 2.0 i) (sqrt 1.0))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ (* 2.0 i) (sqrt 1.0))) (cbrt (+ (* 2.0 i) (sqrt 1.0))))) (/ (cbrt 1) (cbrt (+ (* 2.0 i) (sqrt 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ (* 2.0 i) (sqrt 1.0)))) (/ (cbrt 1) (sqrt (+ (* 2.0 i) (sqrt 1.0)))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ (* 2.0 i) (sqrt 1.0))) (/ (sqrt 1) (* (cbrt (+ (* 2.0 i) (sqrt 1.0))) (cbrt (+ (* 2.0 i) (sqrt 1.0))))) (/ (sqrt 1) (cbrt (+ (* 2.0 i) (sqrt 1.0)))) (/ (sqrt 1) (sqrt (+ (* 2.0 i) (sqrt 1.0)))) (/ (sqrt 1) (sqrt (+ (* 2.0 i) (sqrt 1.0)))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ (* 2.0 i) (sqrt 1.0))) (/ 1 (* (cbrt (+ (* 2.0 i) (sqrt 1.0))) (cbrt (+ (* 2.0 i) (sqrt 1.0))))) (/ 1 (cbrt (+ (* 2.0 i) (sqrt 1.0)))) (/ 1 (sqrt (+ (* 2.0 i) (sqrt 1.0)))) (/ 1 (sqrt (+ (* 2.0 i) (sqrt 1.0)))) (/ 1 1) (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (/ (+ (* 2.0 i) (sqrt 1.0)) 1) (/ 1 (* (cbrt (+ (* 2.0 i) (sqrt 1.0))) (cbrt (+ (* 2.0 i) (sqrt 1.0))))) (/ 1 (sqrt (+ (* 2.0 i) (sqrt 1.0)))) (/ 1 1) (/ (+ (* 2.0 i) (sqrt 1.0)) (cbrt 1)) (/ (+ (* 2.0 i) (sqrt 1.0)) (sqrt 1)) (/ (+ (* 2.0 i) (sqrt 1.0)) 1) (/ 1 (+ (pow (* 2.0 i) 3) (pow (sqrt 1.0) 3))) (/ 1 (- (* (* 2.0 i) (* 2.0 i)) (* (sqrt 1.0) (sqrt 1.0)))) (- (+ (* 1.0 (/ (pow i 4) (pow (sqrt 1.0) 4))) (+ (* 0.25 (/ (pow i 2) (pow (sqrt 1.0) 2))) (* 4.0 (/ (pow i 6) (pow (sqrt 1.0) 6)))))) (+ (* 0.00390625 (/ (pow (sqrt 1.0) 4) (pow i 4))) (+ (* 0.015625 (/ (pow (sqrt 1.0) 2) (pow i 2))) 0.0625)) (+ (* 0.00390625 (/ (pow (sqrt 1.0) 4) (pow i 4))) (+ (* 0.015625 (/ (pow (sqrt 1.0) 2) (pow i 2))) 0.0625)) (- (+ (* 4.0 (/ (pow i 2) (pow (sqrt 1.0) 3))) (/ 1 (sqrt 1.0))) (* 2.0 (/ i (pow (sqrt 1.0) 2)))) (- (+ (* 0.5 (/ 1 i)) (* 0.125 (/ (pow (sqrt 1.0) 2) (pow i 3)))) (* 0.25 (/ (sqrt 1.0) (pow i 2)))) (- (+ (* 0.5 (/ 1 i)) (* 0.125 (/ (pow (sqrt 1.0) 2) (pow i 3)))) (* 0.25 (/ (sqrt 1.0) (pow i 2)))) 1.021 * * [simplify]: iteration 0 : 737 enodes (cost 1587 ) 1.035 * * [simplify]: iteration 1 : 3859 enodes (cost 1167 ) 1.089 * * [simplify]: iteration 2 : 5002 enodes (cost 1031 ) 1.095 * [simplify]: Simplified to: (expm1 (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))) (log1p (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))) (/ (* i (/ i (* 2.0 2.0))) (fma (* 2.0 2.0) (pow i 2) (- 1.0))) (/ (* i (/ i (* 2.0 2.0))) (fma (* 2.0 2.0) (pow i 2) (- 1.0))) (- (log (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0)))) (log (* 2.0 2.0))) (- (log (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0)))) (log (* 2.0 2.0))) (- (log (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0)))) (log (* 2.0 2.0))) (- (log (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0)))) (log (* 2.0 2.0))) (- (log (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0)))) (log (* 2.0 2.0))) (- (log (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0)))) (log (* 2.0 2.0))) (- (log (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0)))) (log (* 2.0 2.0))) (- (log (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0)))) (log (* 2.0 2.0))) (- (log (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0)))) (log (* 2.0 2.0))) (- (log (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0)))) (log (* 2.0 2.0))) (- (log (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0)))) (log (* 2.0 2.0))) (- (log (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0)))) (log (* 2.0 2.0))) (- (log (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0)))) (log (* 2.0 2.0))) (- (log (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0)))) (log (* 2.0 2.0))) (- (log (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0)))) (log (* 2.0 2.0))) (- (log (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0)))) (log (* 2.0 2.0))) (- (log (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0)))) (log (* 2.0 2.0))) (- (log (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0)))) (log (* 2.0 2.0))) (- (log (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0)))) (log (* 2.0 2.0))) (- (log (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0)))) (log (* 2.0 2.0))) (- (log (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0)))) (log (* 2.0 2.0))) (- (log (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0)))) (log (* 2.0 2.0))) (- (log (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0)))) (log (* 2.0 2.0))) (- (log (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0)))) (log (* 2.0 2.0))) (- (log (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0)))) (log (* 2.0 2.0))) (- (log (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0)))) (log (* 2.0 2.0))) (- (log (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0)))) (log (* 2.0 2.0))) (- (log (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0)))) (log (* 2.0 2.0))) (- (log (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0)))) (log (* 2.0 2.0))) (pow (exp 1) (/ (* i (/ i (* 2.0 2.0))) (fma (* 2.0 2.0) (pow i 2) (- 1.0)))) (/ (pow (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0))) 3) (pow (* 2.0 2.0) 3)) (/ (pow (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0))) 3) (pow (* 2.0 2.0) 3)) (/ (pow (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0))) 3) (pow (* 2.0 2.0) 3)) (/ (pow (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0))) 3) (pow (* 2.0 2.0) 3)) (/ (pow (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0))) 3) (pow (* 2.0 2.0) 3)) (/ (pow (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0))) 3) (pow (* 2.0 2.0) 3)) (/ (pow (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0))) 3) (pow (* 2.0 2.0) 3)) (/ (pow (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0))) 3) (pow (* 2.0 2.0) 3)) (/ (pow (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0))) 3) (pow (* 2.0 2.0) 3)) (/ (pow (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0))) 3) (pow (* 2.0 2.0) 3)) (/ (pow (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0))) 3) (pow (* 2.0 2.0) 3)) (/ (pow (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0))) 3) (pow (* 2.0 2.0) 3)) (/ (pow (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0))) 3) (pow (* 2.0 2.0) 3)) (/ (pow (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0))) 3) (pow (* 2.0 2.0) 3)) (* (cbrt (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))) (cbrt (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))))) (cbrt (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))) (/ (pow (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0))) 3) (pow (* 2.0 2.0) 3)) (sqrt (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))) (sqrt (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))) (pow i 2) (* (* (fma (* 2.0 2.0) (pow i 2) (- 1.0)) 2.0) 2.0) (* (/ i (- (* 2.0 i) (sqrt 1.0))) i) (* (* (fma 2.0 i (sqrt 1.0)) 2.0) 2.0) (* i (/ i (* 2.0 2.0))) (fma (* 2.0 2.0) (pow i 2) (- 1.0)) (/ (* 1 (/ i (- (* 2.0 i) (sqrt 1.0)))) (fma 2.0 i (sqrt 1.0))) (* (cbrt (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))) (* (sqrt (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))) (/ (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))) (cbrt (+ (* 2.0 i) (sqrt 1.0)))) (/ (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))) (sqrt (+ (* 2.0 i) (sqrt 1.0)))) (/ (* i (/ i (* 2.0 2.0))) (fma (* 2.0 2.0) (pow i 2) (- 1.0))) (/ (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))) (cbrt (+ (* 2.0 i) (sqrt 1.0)))) (/ (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))) (sqrt (+ (* 2.0 i) (sqrt 1.0)))) (/ (* i (/ i (* 2.0 2.0))) (fma (* 2.0 2.0) (pow i 2) (- 1.0))) (/ (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))) (cbrt (+ (* 2.0 i) (sqrt 1.0)))) (/ (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))) (sqrt (+ (* 2.0 i) (sqrt 1.0)))) (/ (* i (/ i (* 2.0 2.0))) (fma (* 2.0 2.0) (pow i 2) (- 1.0))) (/ (* i (/ i (* 2.0 2.0))) (fma (* 2.0 2.0) (pow i 2) (- 1.0))) (/ (* i (/ i (* 2.0 2.0))) (fma (* 2.0 2.0) (pow i 2) (- 1.0))) (* (* (- (+ (* (* 2.0 i) (* 2.0 i)) 1.0) (* (* 2.0 i) (sqrt 1.0))) (/ i (- (* 2.0 i) (sqrt 1.0)))) (/ i (* 2.0 2.0))) (* (- (* 2.0 i) (sqrt 1.0)) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))) (/ (pow i 2) (fma 2.0 i (sqrt 1.0))) (/ (pow i 2) (fma (* 2.0 2.0) (pow i 2) (- 1.0))) (/ (* i (/ i (* 2.0 2.0))) (fma 2.0 i (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))) (expm1 (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (log1p (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (- 1) (log (/ 1 (fma 2.0 i (sqrt 1.0)))) (log (/ 1 (fma 2.0 i (sqrt 1.0)))) (log (/ 1 (fma 2.0 i (sqrt 1.0)))) (log (/ 1 (fma 2.0 i (sqrt 1.0)))) (exp (/ 1 (fma 2.0 i (sqrt 1.0)))) (/ 1 (pow (fma 2.0 i (sqrt 1.0)) 3)) (* (cbrt (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (cbrt (/ 1 (+ (* 2.0 i) (sqrt 1.0))))) (cbrt (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (/ 1 (pow (fma 2.0 i (sqrt 1.0)) 3)) (sqrt (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (sqrt (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (- 1) (- (+ (* 2.0 i) (sqrt 1.0))) (/ 1 (* (cbrt (+ (* 2.0 i) (sqrt 1.0))) (cbrt (+ (* 2.0 i) (sqrt 1.0))))) (/ 1 (cbrt (+ (* 2.0 i) (sqrt 1.0)))) (/ 1 (sqrt (+ (* 2.0 i) (sqrt 1.0)))) (/ 1 (sqrt (+ (* 2.0 i) (sqrt 1.0)))) 1 (/ 1 (fma 2.0 i (sqrt 1.0))) (/ 1 (* (cbrt (+ (* 2.0 i) (sqrt 1.0))) (cbrt (+ (* 2.0 i) (sqrt 1.0))))) (/ 1 (cbrt (+ (* 2.0 i) (sqrt 1.0)))) (/ 1 (sqrt (+ (* 2.0 i) (sqrt 1.0)))) (/ 1 (sqrt (+ (* 2.0 i) (sqrt 1.0)))) 1 (/ 1 (fma 2.0 i (sqrt 1.0))) (/ 1 (* (cbrt (+ (* 2.0 i) (sqrt 1.0))) (cbrt (+ (* 2.0 i) (sqrt 1.0))))) (/ 1 (cbrt (+ (* 2.0 i) (sqrt 1.0)))) (/ 1 (sqrt (+ (* 2.0 i) (sqrt 1.0)))) (/ 1 (sqrt (+ (* 2.0 i) (sqrt 1.0)))) 1 (/ 1 (fma 2.0 i (sqrt 1.0))) (/ 1 (fma 2.0 i (sqrt 1.0))) (fma 2.0 i (sqrt 1.0)) (/ 1 (* (cbrt (+ (* 2.0 i) (sqrt 1.0))) (cbrt (+ (* 2.0 i) (sqrt 1.0))))) (/ 1 (sqrt (+ (* 2.0 i) (sqrt 1.0)))) 1 (fma 2.0 i (sqrt 1.0)) (fma 2.0 i (sqrt 1.0)) (fma 2.0 i (sqrt 1.0)) (/ 1 (+ (pow (* 2.0 i) 3) (pow (sqrt 1.0) 3))) (/ 1 (* (fma (* 2.0 2.0) (pow i 2) (- 1.0)) 1)) (- (/ (- (* 1.0 (pow i 4))) (* 1.0 1.0)) (fma 4.0 (/ (pow i 6) (pow (sqrt 1.0) 6)) (/ (* 0.25 (pow i 2)) 1.0))) (fma (/ (pow (sqrt 1.0) 4) (pow i 4)) 0.00390625 (+ 0.0625 (/ (* 0.015625 1.0) (pow i 2)))) (fma (/ (pow (sqrt 1.0) 4) (pow i 4)) 0.00390625 (+ 0.0625 (/ (* 0.015625 1.0) (pow i 2)))) (fma (- 2.0) (/ i 1.0) (fma 4.0 (/ (pow i 2) (pow (sqrt 1.0) 3)) (/ 1 (sqrt 1.0)))) (fma (- 0.25) (/ (sqrt 1.0) (pow i 2)) (fma (/ 1 i) 0.5 (/ (* 0.125 1.0) (pow i 3)))) (fma (- 0.25) (/ (sqrt 1.0) (pow i 2)) (fma (/ 1 i) 0.5 (/ (* 0.125 1.0) (pow i 3)))) 1.095 * * * [progress]: adding candidates to table 1.275 * * [progress]: iteration 4 / 4 1.275 * * * [progress]: picking best candidate 1.277 * * * * [pick]: Picked # 1.277 * * * [progress]: localizing error 1.287 * * * [progress]: generating rewritten candidates 1.287 * * * [progress]: generating series expansions 1.287 * * * [progress]: simplifying candidates 1.287 * [simplify]: Simplifying using # : 1.289 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.289 * [simplify]: Simplified to: 1.289 * * * [progress]: adding candidates to table 1.290 * [progress]: [Phase 3 of 3] Extracting. 1.292 * [simplify]: Simplifying using # : (/ (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))) (+ (* 2.0 i) (sqrt 1.0))) 1.292 * * [simplify]: iteration 0 : 15 enodes (cost 11 ) 1.293 * * [simplify]: iteration 1 : 15 enodes (cost 11 ) 1.293 * [simplify]: Simplified to: (/ (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))) (+ (* 2.0 i) (sqrt 1.0))) 1.726 * [regime-testing]: End program error score: 0.0399537928718223