11.022 * [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 ) 0.027 * * [simplify]: iteration 2 : 974 enodes (cost 9 ) 0.050 * * [simplify]: iteration 3 : 5001 enodes (cost 8 ) 0.050 * [simplify]: Simplified to: (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) 0.053 * * [progress]: iteration 1 / 4 0.053 * * * [progress]: picking best candidate 0.054 * * * * [pick]: Picked # 0.055 * * * [progress]: localizing error 0.063 * * * [progress]: generating rewritten candidates 0.063 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.085 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 0.097 * * * [progress]: generating series expansions 0.097 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.098 * [approximate]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in (i) around 0 0.098 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in i 0.098 * [taylor]: Taking taylor expansion of 0.25 in i 0.098 * [taylor]: Taking taylor expansion of (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0)) in i 0.098 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.098 * [taylor]: Taking taylor expansion of i in i 0.098 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.098 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.098 * [taylor]: Taking taylor expansion of 4.0 in i 0.098 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.098 * [taylor]: Taking taylor expansion of i in i 0.098 * [taylor]: Taking taylor expansion of 1.0 in i 0.100 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in i 0.100 * [taylor]: Taking taylor expansion of 0.25 in i 0.100 * [taylor]: Taking taylor expansion of (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0)) in i 0.100 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.100 * [taylor]: Taking taylor expansion of i in i 0.100 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.100 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.100 * [taylor]: Taking taylor expansion of 4.0 in i 0.100 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.100 * [taylor]: Taking taylor expansion of i in i 0.100 * [taylor]: Taking taylor expansion of 1.0 in i 0.127 * [approximate]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.127 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.127 * [taylor]: Taking taylor expansion of 0.25 in i 0.127 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.127 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.127 * [taylor]: Taking taylor expansion of i in i 0.127 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.127 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.127 * [taylor]: Taking taylor expansion of 4.0 in i 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.127 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.127 * [taylor]: Taking taylor expansion of i in i 0.128 * [taylor]: Taking taylor expansion of 1.0 in i 0.129 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.129 * [taylor]: Taking taylor expansion of 0.25 in i 0.129 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.129 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.129 * [taylor]: Taking taylor expansion of i in i 0.129 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.129 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.129 * [taylor]: Taking taylor expansion of 4.0 in i 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.129 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.129 * [taylor]: Taking taylor expansion of i in i 0.130 * [taylor]: Taking taylor expansion of 1.0 in i 0.152 * [approximate]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.152 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.152 * [taylor]: Taking taylor expansion of 0.25 in i 0.152 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.153 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.153 * [taylor]: Taking taylor expansion of i in i 0.153 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.153 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.153 * [taylor]: Taking taylor expansion of 4.0 in i 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.153 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.153 * [taylor]: Taking taylor expansion of i in i 0.153 * [taylor]: Taking taylor expansion of 1.0 in i 0.154 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.154 * [taylor]: Taking taylor expansion of 0.25 in i 0.154 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.154 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.154 * [taylor]: Taking taylor expansion of i in i 0.155 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.155 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.155 * [taylor]: Taking taylor expansion of 4.0 in i 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.155 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.155 * [taylor]: Taking taylor expansion of i in i 0.155 * [taylor]: Taking taylor expansion of 1.0 in i 0.178 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 0.178 * [approximate]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in (i) around 0 0.178 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.178 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.178 * [taylor]: Taking taylor expansion of 4.0 in i 0.178 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.178 * [taylor]: Taking taylor expansion of i in i 0.178 * [taylor]: Taking taylor expansion of 1.0 in i 0.178 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.178 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.178 * [taylor]: Taking taylor expansion of 4.0 in i 0.178 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.178 * [taylor]: Taking taylor expansion of i in i 0.178 * [taylor]: Taking taylor expansion of 1.0 in i 0.191 * [approximate]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in (i) around 0 0.191 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.191 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.191 * [taylor]: Taking taylor expansion of 4.0 in i 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.191 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.191 * [taylor]: Taking taylor expansion of i in i 0.194 * [taylor]: Taking taylor expansion of 1.0 in i 0.194 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.194 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.194 * [taylor]: Taking taylor expansion of 4.0 in i 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.194 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.195 * [taylor]: Taking taylor expansion of i in i 0.195 * [taylor]: Taking taylor expansion of 1.0 in i 0.214 * [approximate]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in (i) around 0 0.214 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.214 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.214 * [taylor]: Taking taylor expansion of 4.0 in i 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.214 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.214 * [taylor]: Taking taylor expansion of i in i 0.215 * [taylor]: Taking taylor expansion of 1.0 in i 0.215 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.215 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.215 * [taylor]: Taking taylor expansion of 4.0 in i 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.215 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.215 * [taylor]: Taking taylor expansion of i in i 0.215 * [taylor]: Taking taylor expansion of 1.0 in i 0.235 * * * [progress]: simplifying candidates 0.237 * [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))) (fma (* 2.0 i) (* 2.0 i) (- (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0))))) (fma (- (cbrt 1.0)) (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0)))) (fma (* 2.0 i) (* 2.0 i) (- (* (sqrt 1.0) (sqrt 1.0)))) (fma (- (sqrt 1.0)) (sqrt 1.0) (* (sqrt 1.0) (sqrt 1.0))) (fma (* 2.0 i) (* 2.0 i) (- (* 1.0 1))) (fma (- 1.0) 1 (* 1.0 1)) (expm1 (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (log1p (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (- 1.0) (/ (exp (* (* 2.0 i) (* 2.0 i))) (exp 1.0)) (log (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (exp (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (cbrt (- (* (* 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 i) (* 2.0 i)) 1.0)) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (- (pow (* (* 2.0 i) (* 2.0 i)) 3) (pow 1.0 3)) (+ (* (* (* 2.0 i) (* 2.0 i)) (* (* 2.0 i) (* 2.0 i))) (+ (* 1.0 1.0) (* (* (* 2.0 i) (* 2.0 i)) 1.0))) (- 1.0) (- (* (* (* 2.0 i) (* 2.0 i)) (* (* 2.0 i) (* 2.0 i))) (* 1.0 1.0)) (+ (* (* 2.0 i) (* 2.0 i)) 1.0) (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)) (- 1.0) (- (+ (* 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)) (- (* 4.0 (pow i 2)) 1.0) (- (* 4.0 (pow i 2)) 1.0) (- (* 4.0 (pow i 2)) 1.0) 0.243 * * [simplify]: iteration 0 : 390 enodes (cost 550 ) 0.250 * * [simplify]: iteration 1 : 1886 enodes (cost 402 ) 0.285 * * [simplify]: iteration 2 : 5001 enodes (cost 398 ) 0.287 * [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 i) (* 2.0 i) 1.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (* 2.0 2.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0) (fma (- 1.0) 1 1.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0) (fma (- 1.0) 1 1.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0) (fma (- 1.0) 1 1.0) (expm1 (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (log1p (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (- 1.0) (exp (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (log (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (exp (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (pow (- (* (* 2.0 i) (* 2.0 i)) 1.0) 3) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (+ (- (pow 1.0 3)) (pow (* 2.0 i) 6)) (fma (pow (* 2.0 i) 3) (* 2.0 i) (* 1.0 (fma (* 2.0 i) (* 2.0 i) 1.0))) (- 1.0) (fma (pow (* 2.0 i) 3) (* 2.0 i) (- (* 1.0 1.0))) (fma (* 2.0 i) (* 2.0 i) 1.0) (fma 2.0 i (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)) (- 1.0) (- (- (* 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)) (- (* 4.0 (pow i 2)) 1.0) (- (* 4.0 (pow i 2)) 1.0) (- (* 4.0 (pow i 2)) 1.0) 0.287 * * * [progress]: adding candidates to table 0.376 * * [progress]: iteration 2 / 4 0.376 * * * [progress]: picking best candidate 0.379 * * * * [pick]: Picked # 0.379 * * * [progress]: localizing error 0.391 * * * [progress]: generating rewritten candidates 0.391 * * * * [progress]: [ 1 / 2 ] rewriting at (2 3 2) 0.395 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.403 * * * [progress]: generating series expansions 0.403 * * * * [progress]: [ 1 / 2 ] generating series at (2 3 2) 0.403 * [approximate]: Taking taylor expansion of (/ 1 (pow i 2)) in (i) around 0 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.403 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.403 * [taylor]: Taking taylor expansion of i in i 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.404 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.404 * [taylor]: Taking taylor expansion of i in i 0.411 * [approximate]: Taking taylor expansion of (pow i 2) in (i) around 0 0.411 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.411 * [taylor]: Taking taylor expansion of i in i 0.411 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.411 * [taylor]: Taking taylor expansion of i in i 0.419 * [approximate]: Taking taylor expansion of (pow i 2) in (i) around 0 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 (pow i 2) in i 0.419 * [taylor]: Taking taylor expansion of i in i 0.423 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.423 * [approximate]: Taking taylor expansion of (/ 1 (pow i 4)) in (i) around 0 0.423 * [taylor]: Taking taylor expansion of (/ 1 (pow i 4)) in i 0.423 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.423 * [taylor]: Taking taylor expansion of i in i 0.424 * [taylor]: Taking taylor expansion of (/ 1 (pow i 4)) in i 0.424 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.424 * [taylor]: Taking taylor expansion of i in i 0.434 * [approximate]: Taking taylor expansion of (pow i 4) in (i) around 0 0.434 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.434 * [taylor]: Taking taylor expansion of i in i 0.434 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.434 * [taylor]: Taking taylor expansion of i in i 0.442 * [approximate]: Taking taylor expansion of (pow i 4) in (i) around 0 0.442 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.442 * [taylor]: Taking taylor expansion of i in i 0.442 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.442 * [taylor]: Taking taylor expansion of i in i 0.450 * * * [progress]: simplifying candidates 0.452 * [simplify]: Simplifying using # : (expm1 (/ 1 (pow i 2))) (log1p (/ 1 (pow i 2))) (- 2) (- (* (log i) 2)) (- (* (log i) 2)) (- (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))) (- 1) (- (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) (expm1 (/ 1 (pow i 4))) (log1p (/ 1 (pow i 4))) (- 4) (- (* (log i) 4)) (- (* (log i) 4)) (- (log (pow i 4))) (- 0 (* (log i) 4)) (- 0 (* (log i) 4)) (- 0 (log (pow i 4))) (- (log 1) (* (log i) 4)) (- (log 1) (* (log i) 4)) (- (log 1) (log (pow i 4))) (log (/ 1 (pow i 4))) (exp (/ 1 (pow i 4))) (/ (* (* 1 1) 1) (* (* (pow i 4) (pow i 4)) (pow i 4))) (* (cbrt (/ 1 (pow i 4))) (cbrt (/ 1 (pow i 4)))) (cbrt (/ 1 (pow i 4))) (* (* (/ 1 (pow i 4)) (/ 1 (pow i 4))) (/ 1 (pow i 4))) (sqrt (/ 1 (pow i 4))) (sqrt (/ 1 (pow i 4))) (- 1) (- (pow i 4)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt i) (cbrt i)) 4)) (/ (cbrt 1) (pow (cbrt i) 4)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt i) 4)) (/ (cbrt 1) (pow (sqrt i) 4)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 4)) (/ (cbrt 1) (pow i 4)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow i 4)) (cbrt (pow i 4)))) (/ (cbrt 1) (cbrt (pow i 4))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow i 4))) (/ (cbrt 1) (sqrt (pow i 4))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow i 4)) (/ (* (cbrt 1) (cbrt 1)) (pow i (/ 4 2))) (/ (cbrt 1) (pow i (/ 4 2))) (/ (sqrt 1) (pow (* (cbrt i) (cbrt i)) 4)) (/ (sqrt 1) (pow (cbrt i) 4)) (/ (sqrt 1) (pow (sqrt i) 4)) (/ (sqrt 1) (pow (sqrt i) 4)) (/ (sqrt 1) (pow 1 4)) (/ (sqrt 1) (pow i 4)) (/ (sqrt 1) (* (cbrt (pow i 4)) (cbrt (pow i 4)))) (/ (sqrt 1) (cbrt (pow i 4))) (/ (sqrt 1) (sqrt (pow i 4))) (/ (sqrt 1) (sqrt (pow i 4))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow i 4)) (/ (sqrt 1) (pow i (/ 4 2))) (/ (sqrt 1) (pow i (/ 4 2))) (/ 1 (pow (* (cbrt i) (cbrt i)) 4)) (/ 1 (pow (cbrt i) 4)) (/ 1 (pow (sqrt i) 4)) (/ 1 (pow (sqrt i) 4)) (/ 1 (pow 1 4)) (/ 1 (pow i 4)) (/ 1 (* (cbrt (pow i 4)) (cbrt (pow i 4)))) (/ 1 (cbrt (pow i 4))) (/ 1 (sqrt (pow i 4))) (/ 1 (sqrt (pow i 4))) (/ 1 1) (/ 1 (pow i 4)) (/ 1 (pow i (/ 4 2))) (/ 1 (pow i (/ 4 2))) (/ 1 (pow i 4)) (/ (pow i 4) 1) (/ 1 (pow (* (cbrt i) (cbrt i)) 4)) (/ 1 (pow (sqrt i) 4)) (/ 1 (pow 1 4)) (/ 1 (* (cbrt (pow i 4)) (cbrt (pow i 4)))) (/ 1 (sqrt (pow i 4))) (/ 1 1) (/ 1 (pow i (/ 4 2))) (/ (pow i 4) (cbrt 1)) (/ (pow i 4) (sqrt 1)) (/ (pow i 4) 1) (/ 1 (pow i 2)) (/ 1 (pow i 2)) (/ 1 (pow i 2)) (/ 1 (pow i 4)) (/ 1 (pow i 4)) (/ 1 (pow i 4)) 0.457 * * [simplify]: iteration 0 : 269 enodes (cost 518 ) 0.462 * * [simplify]: iteration 1 : 1043 enodes (cost 444 ) 0.482 * * [simplify]: iteration 2 : 5001 enodes (cost 368 ) 0.485 * [simplify]: Simplified to: (expm1 (/ 1 (pow i 2))) (log1p (/ 1 (pow i 2))) (- 2) (log (/ 1 (pow i 2))) (log (/ 1 (pow i 2))) (log (/ 1 (pow i 2))) (log (/ 1 (pow i 2))) (log (/ 1 (pow i 2))) (log (/ 1 (pow i 2))) (log (/ 1 (pow i 2))) (log (/ 1 (pow i 2))) (log (/ 1 (pow i 2))) (log (/ 1 (pow i 2))) (exp (/ 1 (pow i 2))) (/ 1 (pow (pow i 2) 3)) (* (cbrt (/ 1 (pow i 2))) (cbrt (/ 1 (pow i 2)))) (cbrt (/ 1 (pow i 2))) (/ 1 (pow (pow i 2) 3)) (fabs (/ 1 i)) (fabs (/ 1 i)) (- 1) (- (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 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 i 2)) (/ 1 i) (/ 1 i) (/ 1 (pow i 2)) (pow i 2) (/ 1 (pow (cbrt i) 4)) (/ 1 i) 1 (/ 1 i) (/ 1 (* (cbrt (pow i 2)) (cbrt (pow i 2)))) (/ 1 (fabs i)) 1 (/ 1 i) (pow i 2) (pow i 2) (pow i 2) (expm1 (/ 1 (pow i 4))) (log1p (/ 1 (pow i 4))) (- 4) (log (/ 1 (pow i 4))) (log (/ 1 (pow i 4))) (log (/ 1 (pow i 4))) (log (/ 1 (pow i 4))) (log (/ 1 (pow i 4))) (log (/ 1 (pow i 4))) (log (/ 1 (pow i 4))) (log (/ 1 (pow i 4))) (log (/ 1 (pow i 4))) (log (/ 1 (pow i 4))) (exp (/ 1 (pow i 4))) (/ 1 (pow (pow i 4) 3)) (* (cbrt (/ 1 (pow i 4))) (cbrt (/ 1 (pow i 4)))) (cbrt (/ 1 (pow i 4))) (/ 1 (pow (pow i 4) 3)) (sqrt (/ 1 (pow i 4))) (sqrt (/ 1 (pow i 4))) (- 1) (- (pow i 4)) (/ 1 (pow (cbrt i) 8)) (/ 1 (pow (cbrt i) 4)) (/ 1 (pow i 2)) (/ 1 (pow i 2)) 1 (/ 1 (pow i 4)) (/ 1 (* (cbrt (pow i 4)) (cbrt (pow i 4)))) (/ 1 (cbrt (pow i 4))) (/ 1 (sqrt (pow i 4))) (/ 1 (sqrt (pow i 4))) 1 (/ 1 (pow i 4)) (/ 1 (pow i 2)) (/ 1 (pow i 2)) (/ 1 (pow (cbrt i) 8)) (/ 1 (pow (cbrt i) 4)) (/ 1 (pow i 2)) (/ 1 (pow i 2)) 1 (/ 1 (pow i 4)) (/ 1 (* (cbrt (pow i 4)) (cbrt (pow i 4)))) (/ 1 (cbrt (pow i 4))) (/ 1 (sqrt (pow i 4))) (/ 1 (sqrt (pow i 4))) 1 (/ 1 (pow i 4)) (/ 1 (pow i 2)) (/ 1 (pow i 2)) (/ 1 (pow (cbrt i) 8)) (/ 1 (pow (cbrt i) 4)) (/ 1 (pow i 2)) (/ 1 (pow i 2)) 1 (/ 1 (pow i 4)) (/ 1 (* (cbrt (pow i 4)) (cbrt (pow i 4)))) (/ 1 (cbrt (pow i 4))) (/ 1 (sqrt (pow i 4))) (/ 1 (sqrt (pow i 4))) 1 (/ 1 (pow i 4)) (/ 1 (pow i 2)) (/ 1 (pow i 2)) (/ 1 (pow i 4)) (pow i 4) (/ 1 (pow (cbrt i) 8)) (/ 1 (pow i 2)) 1 (/ 1 (* (cbrt (pow i 4)) (cbrt (pow i 4)))) (/ 1 (sqrt (pow i 4))) 1 (/ 1 (pow i 2)) (pow i 4) (pow i 4) (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)) 0.485 * * * [progress]: adding candidates to table 0.657 * [progress]: [Phase 3 of 3] Extracting. 0.657 * * [regime]: Finding splitpoints for: (# #) 0.658 * * * [regime-changes]: Trying 1 branch expressions: (i) 0.658 * * * * [regimes]: Trying to branch on i from (# #) 0.672 * * * [regime]: Found split indices: #