15.726 * [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)) 0.018 * [simplify]: Sending expressions to egg_math: (/ (/ (* (* h0 h0) (* h0 h0)) (* (* h1 h0) (* h1 h0))) (- (* (* h1 h0) (* h1 h0)) h2)) 0.020 * * [simplify]: iteration 0 : 31 enodes (cost 12 ) 0.022 * * [simplify]: iteration 1 : 168 enodes (cost 11 ) 0.027 * * [simplify]: iteration 2 : 965 enodes (cost 9 ) 0.049 * * [simplify]: iteration 3 : 5001 enodes (cost 8 ) 0.050 * [simplify]: Simplified to: (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) 0.054 * * [progress]: iteration 1 / 4 0.054 * * * [progress]: picking best candidate 0.059 * * * * [pick]: Picked # 0.059 * * * [progress]: localizing error 0.068 * * * [progress]: generating rewritten candidates 0.068 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.127 * * * [progress]: generating series expansions 0.127 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.128 * [approximate]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in (i) around 0 0.128 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in i 0.128 * [taylor]: Taking taylor expansion of 0.25 in i 0.128 * [taylor]: Taking taylor expansion of (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0)) in i 0.128 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.128 * [taylor]: Taking taylor expansion of i in i 0.128 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.128 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.128 * [taylor]: Taking taylor expansion of 4.0 in i 0.128 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.128 * [taylor]: Taking taylor expansion of i in i 0.128 * [taylor]: Taking taylor expansion of 1.0 in i 0.130 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in i 0.130 * [taylor]: Taking taylor expansion of 0.25 in i 0.130 * [taylor]: Taking taylor expansion of (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0)) in i 0.130 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.130 * [taylor]: Taking taylor expansion of i in i 0.130 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.130 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.130 * [taylor]: Taking taylor expansion of 4.0 in i 0.130 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.130 * [taylor]: Taking taylor expansion of i in i 0.130 * [taylor]: Taking taylor expansion of 1.0 in i 0.151 * [approximate]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.151 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.151 * [taylor]: Taking taylor expansion of 0.25 in i 0.151 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.151 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.151 * [taylor]: Taking taylor expansion of i in i 0.151 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.151 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.151 * [taylor]: Taking taylor expansion of 4.0 in i 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.151 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.151 * [taylor]: Taking taylor expansion of i in i 0.152 * [taylor]: Taking taylor expansion of 1.0 in i 0.153 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.153 * [taylor]: Taking taylor expansion of 0.25 in i 0.153 * [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 0.154 * [taylor]: Taking taylor expansion of 1.0 in i 0.175 * [approximate]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.175 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.175 * [taylor]: Taking taylor expansion of 0.25 in i 0.175 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.175 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.175 * [taylor]: Taking taylor expansion of i in i 0.175 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.175 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.175 * [taylor]: Taking taylor expansion of 4.0 in i 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.175 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.175 * [taylor]: Taking taylor expansion of i in i 0.176 * [taylor]: Taking taylor expansion of 1.0 in i 0.177 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.177 * [taylor]: Taking taylor expansion of 0.25 in i 0.177 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.177 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.177 * [taylor]: Taking taylor expansion of i in i 0.177 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.177 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.177 * [taylor]: Taking taylor expansion of 4.0 in i 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.177 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.177 * [taylor]: Taking taylor expansion of i in i 0.177 * [taylor]: Taking taylor expansion of 1.0 in i 0.205 * * * [progress]: simplifying candidates 0.206 * [simplify]: Simplifying using # : (- (+ (log i) (log i)) (+ (log (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (+ (log 2.0) (log 2.0)))) (- (+ (log i) (log i)) (+ (log (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (log (* 2.0 2.0)))) (- (+ (log i) (log i)) (log (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (- (log (* i i)) (+ (log (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (+ (log 2.0) (log 2.0)))) (- (log (* i i)) (+ (log (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (log (* 2.0 2.0)))) (- (log (* i i)) (log (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (log (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (exp (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (* (* (* 2.0 2.0) 2.0) (* (* 2.0 2.0) 2.0)))) (/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (* (* (* 2.0 2.0) (* 2.0 2.0)) (* 2.0 2.0)))) (/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (* (* (* 2.0 2.0) 2.0) (* (* 2.0 2.0) 2.0)))) (/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (* (* (* 2.0 2.0) (* 2.0 2.0)) (* 2.0 2.0)))) (/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (* (cbrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (cbrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))))) (cbrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (* (* (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (sqrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (sqrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (- (* 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)) 0.206 * [simplify]: Sending expressions to egg_math: (- (+ (log h0) (log h0)) (+ (log (- (* (* h1 h0) (* h1 h0)) h2)) (+ (log h1) (log h1)))) (- (+ (log h0) (log h0)) (+ (log (- (* (* h1 h0) (* h1 h0)) h2)) (log (* h1 h1)))) (- (+ (log h0) (log h0)) (log (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1)))) (- (log (* h0 h0)) (+ (log (- (* (* h1 h0) (* h1 h0)) h2)) (+ (log h1) (log h1)))) (- (log (* h0 h0)) (+ (log (- (* (* h1 h0) (* h1 h0)) h2)) (log (* h1 h1)))) (- (log (* h0 h0)) (log (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1)))) (log (/ (* h0 h0) (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1)))) (exp (/ (* h0 h0) (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1)))) (/ (* (* (* h0 h0) h0) (* (* h0 h0) h0)) (* (* (* (- (* (* h1 h0) (* h1 h0)) h2) (- (* (* h1 h0) (* h1 h0)) h2)) (- (* (* h1 h0) (* h1 h0)) h2)) (* (* (* h1 h1) h1) (* (* h1 h1) h1)))) (/ (* (* (* h0 h0) h0) (* (* h0 h0) h0)) (* (* (* (- (* (* h1 h0) (* h1 h0)) h2) (- (* (* h1 h0) (* h1 h0)) h2)) (- (* (* h1 h0) (* h1 h0)) h2)) (* (* (* h1 h1) (* h1 h1)) (* h1 h1)))) (/ (* (* (* h0 h0) h0) (* (* h0 h0) h0)) (* (* (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1)) (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1))) (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1)))) (/ (* (* (* h0 h0) (* h0 h0)) (* h0 h0)) (* (* (* (- (* (* h1 h0) (* h1 h0)) h2) (- (* (* h1 h0) (* h1 h0)) h2)) (- (* (* h1 h0) (* h1 h0)) h2)) (* (* (* h1 h1) h1) (* (* h1 h1) h1)))) (/ (* (* (* h0 h0) (* h0 h0)) (* h0 h0)) (* (* (* (- (* (* h1 h0) (* h1 h0)) h2) (- (* (* h1 h0) (* h1 h0)) h2)) (- (* (* h1 h0) (* h1 h0)) h2)) (* (* (* h1 h1) (* h1 h1)) (* h1 h1)))) (/ (* (* (* h0 h0) (* h0 h0)) (* h0 h0)) (* (* (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1)) (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1))) (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1)))) (* (cbrt (/ (* h0 h0) (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1)))) (cbrt (/ (* h0 h0) (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1))))) (cbrt (/ (* h0 h0) (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1)))) (* (* (/ (* h0 h0) (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1))) (/ (* h0 h0) (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1)))) (/ (* h0 h0) (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1)))) (sqrt (/ (* h0 h0) (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1)))) (sqrt (/ (* h0 h0) (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1)))) (- (* h0 h0)) (- (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1))) (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ h0 (* h1 h1)) (/ 1 (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1))) (/ (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1)) (* h0 h0)) (/ (* h0 h0) (- (* (* h1 h0) (* h1 h0)) h2)) (/ (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1)) h0) (/ (* h0 h0) (* (- (pow (* (* h1 h0) (* h1 h0)) 3) (pow h2 3)) (* h1 h1))) (/ (* h0 h0) (* (- (* (* (* h1 h0) (* h1 h0)) (* (* h1 h0) (* h1 h0))) (* h2 h2)) (* h1 h1))) (- (+ (* h3 (pow h0 2)) (+ (* h2 (pow h0 4)) (* h4 (pow h0 6))))) (+ (* h5 (/ 1 (pow h0 4))) (+ (* h6 (/ 1 (pow h0 2))) h7)) (+ (* h5 (/ 1 (pow h0 4))) (+ (* h6 (/ 1 (pow h0 2))) h7)) 0.211 * * [simplify]: iteration 0 : 311 enodes (cost 392 ) 0.217 * * [simplify]: iteration 1 : 1550 enodes (cost 273 ) 0.245 * * [simplify]: iteration 2 : 5001 enodes (cost 273 ) 0.246 * [simplify]: Simplified to: (log (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (log (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (log (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (log (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (log (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (log (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (log (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (exp (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (pow (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) 3) (pow (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) 3) (pow (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) 3) (pow (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) 3) (pow (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) 3) (pow (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) 3) (* (cbrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (cbrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))))) (cbrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (pow (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) 3) (sqrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (sqrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (- (* 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)) 0.246 * * * [progress]: adding candidates to table 0.291 * * [progress]: iteration 2 / 4 0.291 * * * [progress]: picking best candidate 0.294 * * * * [pick]: Picked # 0.294 * * * [progress]: localizing error 0.303 * * * [progress]: generating rewritten candidates 0.303 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.348 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.486 * * * [progress]: generating series expansions 0.486 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.487 * [approximate]: Taking taylor expansion of (/ i (- (* 4.0 (pow i 2)) 1.0)) in (i) around 0 0.487 * [taylor]: Taking taylor expansion of (/ i (- (* 4.0 (pow i 2)) 1.0)) in i 0.487 * [taylor]: Taking taylor expansion of i in i 0.487 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.487 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.487 * [taylor]: Taking taylor expansion of 4.0 in i 0.487 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.487 * [taylor]: Taking taylor expansion of i in i 0.487 * [taylor]: Taking taylor expansion of 1.0 in i 0.488 * [taylor]: Taking taylor expansion of (/ i (- (* 4.0 (pow i 2)) 1.0)) in i 0.488 * [taylor]: Taking taylor expansion of i in i 0.489 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.489 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.489 * [taylor]: Taking taylor expansion of 4.0 in i 0.489 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.489 * [taylor]: Taking taylor expansion of i in i 0.489 * [taylor]: Taking taylor expansion of 1.0 in i 0.503 * [approximate]: Taking taylor expansion of (/ 1 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.503 * [taylor]: Taking taylor expansion of (/ 1 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.503 * [taylor]: Taking taylor expansion of (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.503 * [taylor]: Taking taylor expansion of i in i 0.503 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.503 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.503 * [taylor]: Taking taylor expansion of 4.0 in i 0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.503 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.503 * [taylor]: Taking taylor expansion of i in i 0.503 * [taylor]: Taking taylor expansion of 1.0 in i 0.506 * [taylor]: Taking taylor expansion of (/ 1 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.506 * [taylor]: Taking taylor expansion of (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.507 * [taylor]: Taking taylor expansion of i in i 0.507 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.507 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.507 * [taylor]: Taking taylor expansion of 4.0 in i 0.507 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.507 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.507 * [taylor]: Taking taylor expansion of i in i 0.507 * [taylor]: Taking taylor expansion of 1.0 in i 0.530 * [approximate]: Taking taylor expansion of (/ -1 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.530 * [taylor]: Taking taylor expansion of (/ -1 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.530 * [taylor]: Taking taylor expansion of -1 in i 0.530 * [taylor]: Taking taylor expansion of (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.530 * [taylor]: Taking taylor expansion of i in i 0.530 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.530 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.530 * [taylor]: Taking taylor expansion of 4.0 in i 0.530 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.530 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.530 * [taylor]: Taking taylor expansion of i in i 0.530 * [taylor]: Taking taylor expansion of 1.0 in i 0.533 * [taylor]: Taking taylor expansion of (/ -1 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.533 * [taylor]: Taking taylor expansion of -1 in i 0.533 * [taylor]: Taking taylor expansion of (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.533 * [taylor]: Taking taylor expansion of i in i 0.533 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.533 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.533 * [taylor]: Taking taylor expansion of 4.0 in i 0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.534 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.534 * [taylor]: Taking taylor expansion of i in i 0.534 * [taylor]: Taking taylor expansion of 1.0 in i 0.564 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.564 * [approximate]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in (i) around 0 0.565 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in i 0.565 * [taylor]: Taking taylor expansion of 0.25 in i 0.565 * [taylor]: Taking taylor expansion of (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0)) in i 0.565 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.565 * [taylor]: Taking taylor expansion of i in i 0.565 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.565 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.565 * [taylor]: Taking taylor expansion of 4.0 in i 0.565 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.565 * [taylor]: Taking taylor expansion of i in i 0.565 * [taylor]: Taking taylor expansion of 1.0 in i 0.566 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in i 0.566 * [taylor]: Taking taylor expansion of 0.25 in i 0.566 * [taylor]: Taking taylor expansion of (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0)) in i 0.566 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.566 * [taylor]: Taking taylor expansion of i in i 0.566 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.566 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.566 * [taylor]: Taking taylor expansion of 4.0 in i 0.566 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.566 * [taylor]: Taking taylor expansion of i in i 0.566 * [taylor]: Taking taylor expansion of 1.0 in i 0.587 * [approximate]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.587 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.587 * [taylor]: Taking taylor expansion of 0.25 in i 0.587 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.587 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.587 * [taylor]: Taking taylor expansion of i in i 0.587 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.587 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.587 * [taylor]: Taking taylor expansion of 4.0 in i 0.587 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.587 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.587 * [taylor]: Taking taylor expansion of i in i 0.587 * [taylor]: Taking taylor expansion of 1.0 in i 0.588 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.588 * [taylor]: Taking taylor expansion of 0.25 in i 0.589 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.589 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.589 * [taylor]: Taking taylor expansion of i in i 0.589 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.589 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.589 * [taylor]: Taking taylor expansion of 4.0 in i 0.589 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.589 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.589 * [taylor]: Taking taylor expansion of i in i 0.589 * [taylor]: Taking taylor expansion of 1.0 in i 0.610 * [approximate]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.610 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.610 * [taylor]: Taking taylor expansion of 0.25 in i 0.610 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.610 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.610 * [taylor]: Taking taylor expansion of i in i 0.610 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.610 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.610 * [taylor]: Taking taylor expansion of 4.0 in i 0.610 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.610 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.610 * [taylor]: Taking taylor expansion of i in i 0.611 * [taylor]: Taking taylor expansion of 1.0 in i 0.612 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.612 * [taylor]: Taking taylor expansion of 0.25 in i 0.612 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.612 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.612 * [taylor]: Taking taylor expansion of i in i 0.612 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.612 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.612 * [taylor]: Taking taylor expansion of 4.0 in i 0.612 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.612 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.612 * [taylor]: Taking taylor expansion of i in i 0.612 * [taylor]: Taking taylor expansion of 1.0 in i 0.638 * * * [progress]: simplifying candidates 0.639 * [simplify]: Simplifying using # : (- (log i) (log (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (log (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (exp (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (* (* i i) i) (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (* (cbrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (cbrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (cbrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (* (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (- 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))) (* (/ 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)) 0.640 * [simplify]: Sending expressions to egg_math: (- (log h0) (log (- (* (* h1 h0) (* h1 h0)) h2))) (log (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (exp (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (/ (* (* h0 h0) h0) (* (* (- (* (* h1 h0) (* h1 h0)) h2) (- (* (* h1 h0) (* h1 h0)) h2)) (- (* (* h1 h0) (* h1 h0)) h2))) (* (cbrt (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (cbrt (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)))) (cbrt (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (* (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (sqrt (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (sqrt (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (- h0) (- (- (* (* h1 h0) (* h1 h0)) h2)) (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (- (* (* h1 h0) (* h1 h0)) h2)) (cbrt (- (* (* h1 h0) (* h1 h0)) h2)))) (/ (cbrt h0) (cbrt (- (* (* h1 h0) (* h1 h0)) h2))) (/ (* (cbrt h0) (cbrt h0)) (sqrt (- (* (* h1 h0) (* h1 h0)) h2))) (/ (cbrt h0) (sqrt (- (* (* h1 h0) (* h1 h0)) h2))) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (- (* (* h1 h0) (* h1 h0)) h2)) (/ (* (cbrt h0) (cbrt h0)) (+ (* h1 h0) (sqrt h2))) (/ (cbrt h0) (- (* h1 h0) (sqrt h2))) (/ (sqrt h0) (* (cbrt (- (* (* h1 h0) (* h1 h0)) h2)) (cbrt (- (* (* h1 h0) (* h1 h0)) h2)))) (/ (sqrt h0) (cbrt (- (* (* h1 h0) (* h1 h0)) h2))) (/ (sqrt h0) (sqrt (- (* (* h1 h0) (* h1 h0)) h2))) (/ (sqrt h0) (sqrt (- (* (* h1 h0) (* h1 h0)) h2))) (/ (sqrt h0) 1) (/ (sqrt h0) (- (* (* h1 h0) (* h1 h0)) h2)) (/ (sqrt h0) (+ (* h1 h0) (sqrt h2))) (/ (sqrt h0) (- (* h1 h0) (sqrt h2))) (/ 1 (* (cbrt (- (* (* h1 h0) (* h1 h0)) h2)) (cbrt (- (* (* h1 h0) (* h1 h0)) h2)))) (/ h0 (cbrt (- (* (* h1 h0) (* h1 h0)) h2))) (/ 1 (sqrt (- (* (* h1 h0) (* h1 h0)) h2))) (/ h0 (sqrt (- (* (* h1 h0) (* h1 h0)) h2))) (/ 1 1) (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ 1 (+ (* h1 h0) (sqrt h2))) (/ h0 (- (* h1 h0) (sqrt h2))) (/ 1 (- (* (* h1 h0) (* h1 h0)) h2)) (/ (- (* (* h1 h0) (* h1 h0)) h2) h0) (/ h0 (* (cbrt (- (* (* h1 h0) (* h1 h0)) h2)) (cbrt (- (* (* h1 h0) (* h1 h0)) h2)))) (/ h0 (sqrt (- (* (* h1 h0) (* h1 h0)) h2))) (/ h0 1) (/ h0 (+ (* h1 h0) (sqrt h2))) (/ (- (* (* h1 h0) (* h1 h0)) h2) (cbrt h0)) (/ (- (* (* h1 h0) (* h1 h0)) h2) (sqrt h0)) (/ (- (* (* h1 h0) (* h1 h0)) h2) h0) (/ h0 (- (pow (* (* h1 h0) (* h1 h0)) 3) (pow h2 3))) (/ h0 (- (* (* (* h1 h0) (* h1 h0)) (* (* h1 h0) (* h1 h0))) (* h2 h2))) (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ h0 (* h1 h1))) (+ (- (log h0) (log (- (* (* h1 h0) (* h1 h0)) h2))) (- (log h0) (+ (log h1) (log h1)))) (+ (- (log h0) (log (- (* (* h1 h0) (* h1 h0)) h2))) (- (log h0) (log (* h1 h1)))) (+ (- (log h0) (log (- (* (* h1 h0) (* h1 h0)) h2))) (log (/ h0 (* h1 h1)))) (+ (log (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (- (log h0) (+ (log h1) (log h1)))) (+ (log (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (- (log h0) (log (* h1 h1)))) (+ (log (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (log (/ h0 (* h1 h1)))) (log (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ h0 (* h1 h1)))) (exp (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ h0 (* h1 h1)))) (* (/ (* (* h0 h0) h0) (* (* (- (* (* h1 h0) (* h1 h0)) h2) (- (* (* h1 h0) (* h1 h0)) h2)) (- (* (* h1 h0) (* h1 h0)) h2))) (/ (* (* h0 h0) h0) (* (* (* h1 h1) h1) (* (* h1 h1) h1)))) (* (/ (* (* h0 h0) h0) (* (* (- (* (* h1 h0) (* h1 h0)) h2) (- (* (* h1 h0) (* h1 h0)) h2)) (- (* (* h1 h0) (* h1 h0)) h2))) (/ (* (* h0 h0) h0) (* (* (* h1 h1) (* h1 h1)) (* h1 h1)))) (* (/ (* (* h0 h0) h0) (* (* (- (* (* h1 h0) (* h1 h0)) h2) (- (* (* h1 h0) (* h1 h0)) h2)) (- (* (* h1 h0) (* h1 h0)) h2))) (* (* (/ h0 (* h1 h1)) (/ h0 (* h1 h1))) (/ h0 (* h1 h1)))) (* (* (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (/ (* (* h0 h0) h0) (* (* (* h1 h1) h1) (* (* h1 h1) h1)))) (* (* (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (/ (* (* h0 h0) h0) (* (* (* h1 h1) (* h1 h1)) (* h1 h1)))) (* (* (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (* (* (/ h0 (* h1 h1)) (/ h0 (* h1 h1))) (/ h0 (* h1 h1)))) (* (cbrt (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ h0 (* h1 h1)))) (cbrt (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ h0 (* h1 h1))))) (cbrt (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ h0 (* h1 h1)))) (* (* (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ h0 (* h1 h1))) (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ h0 (* h1 h1)))) (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ h0 (* h1 h1)))) (sqrt (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ h0 (* h1 h1)))) (sqrt (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ h0 (* h1 h1)))) (* h0 h0) (* (- (* (* h1 h0) (* h1 h0)) h2) (* h1 h1)) (* (sqrt (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (sqrt (/ h0 (* h1 h1)))) (* (sqrt (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (sqrt (/ h0 (* h1 h1)))) (* (sqrt (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (/ (sqrt h0) h1)) (* (sqrt (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (/ (sqrt h0) h1)) (* (/ (sqrt h0) (sqrt (- (* (* h1 h0) (* h1 h0)) h2))) (sqrt (/ h0 (* h1 h1)))) (* (/ (sqrt h0) (sqrt (- (* (* h1 h0) (* h1 h0)) h2))) (sqrt (/ h0 (* h1 h1)))) (* (/ (sqrt h0) (sqrt (- (* (* h1 h0) (* h1 h0)) h2))) (/ (sqrt h0) h1)) (* (/ (sqrt h0) (sqrt (- (* (* h1 h0) (* h1 h0)) h2))) (/ (sqrt h0) h1)) (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (* (cbrt (/ h0 (* h1 h1))) (cbrt (/ h0 (* h1 h1))))) (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (sqrt (/ h0 (* h1 h1)))) (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ (* (cbrt h0) (cbrt h0)) h1)) (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ (sqrt h0) h1)) (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ 1 h1)) (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) 1) (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) h0) (* (cbrt (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (/ h0 (* h1 h1))) (* (sqrt (/ h0 (- (* (* h1 h0) (* h1 h0)) h2))) (/ h0 (* h1 h1))) (* (/ (cbrt h0) (cbrt (- (* (* h1 h0) (* h1 h0)) h2))) (/ h0 (* h1 h1))) (* (/ (cbrt h0) (sqrt (- (* (* h1 h0) (* h1 h0)) h2))) (/ h0 (* h1 h1))) (* (/ (cbrt h0) (- (* (* h1 h0) (* h1 h0)) h2)) (/ h0 (* h1 h1))) (* (/ (cbrt h0) (- (* h1 h0) (sqrt h2))) (/ h0 (* h1 h1))) (* (/ (sqrt h0) (cbrt (- (* (* h1 h0) (* h1 h0)) h2))) (/ h0 (* h1 h1))) (* (/ (sqrt h0) (sqrt (- (* (* h1 h0) (* h1 h0)) h2))) (/ h0 (* h1 h1))) (* (/ (sqrt h0) (- (* (* h1 h0) (* h1 h0)) h2)) (/ h0 (* h1 h1))) (* (/ (sqrt h0) (- (* h1 h0) (sqrt h2))) (/ h0 (* h1 h1))) (* (/ h0 (cbrt (- (* (* h1 h0) (* h1 h0)) h2))) (/ h0 (* h1 h1))) (* (/ h0 (sqrt (- (* (* h1 h0) (* h1 h0)) h2))) (/ h0 (* h1 h1))) (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ h0 (* h1 h1))) (* (/ h0 (- (* h1 h0) (sqrt h2))) (/ h0 (* h1 h1))) (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) (/ h0 (* h1 h1))) (* (/ 1 (- (* (* h1 h0) (* h1 h0)) h2)) (/ h0 (* h1 h1))) (* (+ (* (* (* h1 h0) (* h1 h0)) (* (* h1 h0) (* h1 h0))) (+ (* h2 h2) (* (* (* h1 h0) (* h1 h0)) h2))) (/ h0 (* h1 h1))) (* (+ (* (* h1 h0) (* h1 h0)) h2) (/ h0 (* h1 h1))) (* (/ h0 (- (* (* h1 h0) (* h1 h0)) h2)) h0) (* h0 (/ h0 (* h1 h1))) (- (+ (* h3 (pow h0 3)) (+ (* h4 (pow h0 5)) (* h2 h0)))) (+ (* h5 (/ 1 (pow h0 5))) (+ (* h6 (/ 1 h0)) (* h7 (/ 1 (pow h0 3))))) (+ (* h5 (/ 1 (pow h0 5))) (+ (* h6 (/ 1 h0)) (* h7 (/ 1 (pow h0 3))))) (- (+ (* h6 (pow h0 2)) (+ (* h2 (pow h0 4)) (* h3 (pow h0 6))))) (+ (* h8 (/ 1 (pow h0 4))) (+ (* h5 (/ 1 (pow h0 2))) h7)) (+ (* h8 (/ 1 (pow h0 4))) (+ (* h5 (/ 1 (pow h0 2))) h7)) 0.646 * * [simplify]: iteration 0 : 530 enodes (cost 978 ) 0.655 * * [simplify]: iteration 1 : 2493 enodes (cost 842 ) 0.694 * * [simplify]: iteration 2 : 5001 enodes (cost 833 ) 0.698 * [simplify]: Simplified to: (log (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (log (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (exp (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (pow (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 3) (* (cbrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (cbrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (cbrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (pow (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 3) (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (- 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) (cbrt i)) (+ (* 2.0 i) (sqrt 1.0))) (/ (cbrt i) (- (* 2.0 i) (sqrt 1.0))) (/ (sqrt i) (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (/ (sqrt i) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt i) (/ (sqrt i) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (sqrt i) (+ (* 2.0 i) (sqrt 1.0))) (/ (sqrt i) (- (* 2.0 i) (sqrt 1.0))) (/ 1 (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (/ i (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ 1 (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) 1 (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (/ i (- (* 2.0 i) (sqrt 1.0))) (/ 1 (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) i) (/ i (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (/ i (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) i (/ i (+ (* 2.0 i) (sqrt 1.0))) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) (cbrt i)) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) (sqrt i)) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) i) (/ i (+ (- (pow 1.0 3)) (pow (* 2.0 i) 6))) (/ i (+ (- (* 1.0 1.0)) (* (* (pow (* 2.0 i) 3) i) 2.0))) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) (log (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (log (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (log (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (log (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (log (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (log (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (log (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (exp (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (pow (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) 3) (pow (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) 3) (pow (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) 3) (pow (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) 3) (pow (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) 3) (pow (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) 3) (* (cbrt (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (cbrt (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))))) (cbrt (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (pow (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) 3) (sqrt (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (sqrt (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (pow i 2) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (* (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt (/ i (* 2.0 2.0)))) (* (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt (/ i (* 2.0 2.0)))) (* (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (sqrt i) 2.0)) (* (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (sqrt i) 2.0)) (* (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt (/ i (* 2.0 2.0)))) (* (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt (/ i (* 2.0 2.0)))) (/ (/ i (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) 2.0) (/ (/ i (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) 2.0) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (* (cbrt (/ i (* 2.0 2.0))) (cbrt (/ i (* 2.0 2.0))))) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (sqrt (/ i (* 2.0 2.0)))) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (* (cbrt i) (cbrt i)) 2.0)) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (sqrt i) 2.0)) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) i) (* (cbrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (* 2.0 2.0))) (* (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (* 2.0 2.0))) (* (/ (cbrt i) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (* 2.0 2.0))) (* (/ (cbrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (* 2.0 2.0))) (* (/ (cbrt i) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) (* (/ (cbrt i) (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))) (* (/ (sqrt i) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (* 2.0 2.0))) (* (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (* 2.0 2.0))) (* (/ (sqrt i) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) (* (/ (sqrt i) (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))) (* (/ i (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (* 2.0 2.0))) (* (/ i (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (* 2.0 2.0))) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) (/ (/ i (* 2.0 2.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (* (/ i (* 2.0 2.0)) (+ (* 1.0 (+ 1.0 (* (* 2.0 i) (* 2.0 i)))) (* (* (* 2.0 i) (* 2.0 i)) (* (* 2.0 i) (* 2.0 i))))) (* (+ (* (* 2.0 i) (* 2.0 i)) 1.0) (/ i (* 2.0 2.0))) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) i) (* i (/ i (* 2.0 2.0))) (- (+ (* 4.0 (pow i 3)) (+ (* 16.0 (pow i 5)) (* 1.0 i)))) (+ (/ 0.0625 (pow i 3)) (+ (* 0.015625 (/ 1 (pow i 5))) (* 0.25 (/ 1 i)))) (+ (/ 0.0625 (pow i 3)) (+ (* 0.015625 (/ 1 (pow i 5))) (* 0.25 (/ 1 i)))) (- (+ (* 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)) 0.699 * * * [progress]: adding candidates to table 0.863 * * [progress]: iteration 3 / 4 0.863 * * * [progress]: picking best candidate 0.865 * * * * [pick]: Picked # 0.865 * * * [progress]: localizing error 0.876 * * * [progress]: generating rewritten candidates 0.876 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.884 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.895 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.917 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.962 * * * [progress]: generating series expansions 0.962 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.962 * [approximate]: Taking taylor expansion of (/ 1 (pow i 4)) in (i) around 0 0.962 * [taylor]: Taking taylor expansion of (/ 1 (pow i 4)) in i 0.962 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.962 * [taylor]: Taking taylor expansion of i in i 0.963 * [taylor]: Taking taylor expansion of (/ 1 (pow i 4)) in i 0.963 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.963 * [taylor]: Taking taylor expansion of i in i 0.973 * [approximate]: Taking taylor expansion of (pow i 4) in (i) around 0 0.973 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.973 * [taylor]: Taking taylor expansion of i in i 0.973 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.973 * [taylor]: Taking taylor expansion of i in i 0.980 * [approximate]: Taking taylor expansion of (pow i 4) in (i) around 0 0.980 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.980 * [taylor]: Taking taylor expansion of i in i 0.980 * [taylor]: Taking taylor expansion of (pow i 4) in i 0.980 * [taylor]: Taking taylor expansion of i in i 0.987 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.987 * [approximate]: Taking taylor expansion of (/ 1 (pow i 2)) in (i) around 0 0.987 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.987 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.987 * [taylor]: Taking taylor expansion of i in i 0.988 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.988 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.988 * [taylor]: Taking taylor expansion of i in i 0.994 * [approximate]: Taking taylor expansion of (pow i 2) in (i) around 0 0.994 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.994 * [taylor]: Taking taylor expansion of i in i 0.994 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.994 * [taylor]: Taking taylor expansion of i in i 0.998 * [approximate]: Taking taylor expansion of (pow i 2) in (i) around 0 0.998 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.998 * [taylor]: Taking taylor expansion of i in i 0.998 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.998 * [taylor]: Taking taylor expansion of i in i 1.002 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.002 * [approximate]: Taking taylor expansion of (/ 0.015625 (pow i 2)) in (i) around 0 1.002 * [taylor]: Taking taylor expansion of (/ 0.015625 (pow i 2)) in i 1.002 * [taylor]: Taking taylor expansion of 0.015625 in i 1.002 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.002 * [taylor]: Taking taylor expansion of i in i 1.003 * [taylor]: Taking taylor expansion of (/ 0.015625 (pow i 2)) in i 1.003 * [taylor]: Taking taylor expansion of 0.015625 in i 1.003 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.003 * [taylor]: Taking taylor expansion of i in i 1.009 * [approximate]: Taking taylor expansion of (* 0.015625 (pow i 2)) in (i) around 0 1.009 * [taylor]: Taking taylor expansion of (* 0.015625 (pow i 2)) in i 1.009 * [taylor]: Taking taylor expansion of 0.015625 in i 1.009 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.009 * [taylor]: Taking taylor expansion of i in i 1.009 * [taylor]: Taking taylor expansion of (* 0.015625 (pow i 2)) in i 1.009 * [taylor]: Taking taylor expansion of 0.015625 in i 1.009 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.010 * [taylor]: Taking taylor expansion of i in i 1.017 * [approximate]: Taking taylor expansion of (* 0.015625 (pow i 2)) in (i) around 0 1.017 * [taylor]: Taking taylor expansion of (* 0.015625 (pow i 2)) in i 1.017 * [taylor]: Taking taylor expansion of 0.015625 in i 1.017 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.017 * [taylor]: Taking taylor expansion of i in i 1.017 * [taylor]: Taking taylor expansion of (* 0.015625 (pow i 2)) in i 1.017 * [taylor]: Taking taylor expansion of 0.015625 in i 1.017 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.017 * [taylor]: Taking taylor expansion of i in i 1.029 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.029 * [approximate]: Taking taylor expansion of (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) in (i) around 0 1.030 * [taylor]: Taking taylor expansion of (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) in i 1.030 * [taylor]: Taking taylor expansion of (* 0.00390625 (/ 1 (pow i 4))) in i 1.030 * [taylor]: Taking taylor expansion of 0.00390625 in i 1.030 * [taylor]: Taking taylor expansion of (/ 1 (pow i 4)) in i 1.030 * [taylor]: Taking taylor expansion of (pow i 4) in i 1.030 * [taylor]: Taking taylor expansion of i in i 1.030 * [taylor]: Taking taylor expansion of (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625) in i 1.030 * [taylor]: Taking taylor expansion of (* 0.015625 (/ 1 (pow i 2))) in i 1.030 * [taylor]: Taking taylor expansion of 0.015625 in i 1.030 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 1.030 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.030 * [taylor]: Taking taylor expansion of i in i 1.031 * [taylor]: Taking taylor expansion of 0.0625 in i 1.031 * [taylor]: Taking taylor expansion of (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) in i 1.031 * [taylor]: Taking taylor expansion of (* 0.00390625 (/ 1 (pow i 4))) in i 1.031 * [taylor]: Taking taylor expansion of 0.00390625 in i 1.031 * [taylor]: Taking taylor expansion of (/ 1 (pow i 4)) in i 1.031 * [taylor]: Taking taylor expansion of (pow i 4) in i 1.031 * [taylor]: Taking taylor expansion of i in i 1.031 * [taylor]: Taking taylor expansion of (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625) in i 1.031 * [taylor]: Taking taylor expansion of (* 0.015625 (/ 1 (pow i 2))) in i 1.032 * [taylor]: Taking taylor expansion of 0.015625 in i 1.032 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 1.032 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.032 * [taylor]: Taking taylor expansion of i in i 1.032 * [taylor]: Taking taylor expansion of 0.0625 in i 1.044 * [approximate]: Taking taylor expansion of (+ (* 0.015625 (pow i 2)) (+ (* 0.00390625 (pow i 4)) 0.0625)) in (i) around 0 1.044 * [taylor]: Taking taylor expansion of (+ (* 0.015625 (pow i 2)) (+ (* 0.00390625 (pow i 4)) 0.0625)) in i 1.044 * [taylor]: Taking taylor expansion of (* 0.015625 (pow i 2)) in i 1.044 * [taylor]: Taking taylor expansion of 0.015625 in i 1.044 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.044 * [taylor]: Taking taylor expansion of i in i 1.044 * [taylor]: Taking taylor expansion of (+ (* 0.00390625 (pow i 4)) 0.0625) in i 1.044 * [taylor]: Taking taylor expansion of (* 0.00390625 (pow i 4)) in i 1.044 * [taylor]: Taking taylor expansion of 0.00390625 in i 1.044 * [taylor]: Taking taylor expansion of (pow i 4) in i 1.044 * [taylor]: Taking taylor expansion of i in i 1.044 * [taylor]: Taking taylor expansion of 0.0625 in i 1.044 * [taylor]: Taking taylor expansion of (+ (* 0.015625 (pow i 2)) (+ (* 0.00390625 (pow i 4)) 0.0625)) in i 1.045 * [taylor]: Taking taylor expansion of (* 0.015625 (pow i 2)) in i 1.045 * [taylor]: Taking taylor expansion of 0.015625 in i 1.045 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.045 * [taylor]: Taking taylor expansion of i in i 1.045 * [taylor]: Taking taylor expansion of (+ (* 0.00390625 (pow i 4)) 0.0625) in i 1.045 * [taylor]: Taking taylor expansion of (* 0.00390625 (pow i 4)) in i 1.045 * [taylor]: Taking taylor expansion of 0.00390625 in i 1.045 * [taylor]: Taking taylor expansion of (pow i 4) in i 1.045 * [taylor]: Taking taylor expansion of i in i 1.045 * [taylor]: Taking taylor expansion of 0.0625 in i 1.050 * [approximate]: Taking taylor expansion of (+ (* 0.015625 (pow i 2)) (+ (* 0.00390625 (pow i 4)) 0.0625)) in (i) around 0 1.050 * [taylor]: Taking taylor expansion of (+ (* 0.015625 (pow i 2)) (+ (* 0.00390625 (pow i 4)) 0.0625)) in i 1.050 * [taylor]: Taking taylor expansion of (* 0.015625 (pow i 2)) in i 1.050 * [taylor]: Taking taylor expansion of 0.015625 in i 1.050 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.050 * [taylor]: Taking taylor expansion of i in i 1.050 * [taylor]: Taking taylor expansion of (+ (* 0.00390625 (pow i 4)) 0.0625) in i 1.050 * [taylor]: Taking taylor expansion of (* 0.00390625 (pow i 4)) in i 1.050 * [taylor]: Taking taylor expansion of 0.00390625 in i 1.050 * [taylor]: Taking taylor expansion of (pow i 4) in i 1.050 * [taylor]: Taking taylor expansion of i in i 1.050 * [taylor]: Taking taylor expansion of 0.0625 in i 1.050 * [taylor]: Taking taylor expansion of (+ (* 0.015625 (pow i 2)) (+ (* 0.00390625 (pow i 4)) 0.0625)) in i 1.050 * [taylor]: Taking taylor expansion of (* 0.015625 (pow i 2)) in i 1.050 * [taylor]: Taking taylor expansion of 0.015625 in i 1.050 * [taylor]: Taking taylor expansion of (pow i 2) in i 1.050 * [taylor]: Taking taylor expansion of i in i 1.050 * [taylor]: Taking taylor expansion of (+ (* 0.00390625 (pow i 4)) 0.0625) in i 1.050 * [taylor]: Taking taylor expansion of (* 0.00390625 (pow i 4)) in i 1.050 * [taylor]: Taking taylor expansion of 0.00390625 in i 1.050 * [taylor]: Taking taylor expansion of (pow i 4) in i 1.051 * [taylor]: Taking taylor expansion of i in i 1.051 * [taylor]: Taking taylor expansion of 0.0625 in i 1.055 * * * [progress]: simplifying candidates 1.058 * [simplify]: Simplifying using # : (- 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) (- 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) (* 0.015625 (/ 1 (pow i 2))) (+ (log 0.015625) (- (* (log i) 2))) (+ (log 0.015625) (- (* (log i) 2))) (+ (log 0.015625) (- (log (pow i 2)))) (+ (log 0.015625) (- 0 (* (log i) 2))) (+ (log 0.015625) (- 0 (* (log i) 2))) (+ (log 0.015625) (- 0 (log (pow i 2)))) (+ (log 0.015625) (- (log 1) (* (log i) 2))) (+ (log 0.015625) (- (log 1) (* (log i) 2))) (+ (log 0.015625) (- (log 1) (log (pow i 2)))) (+ (log 0.015625) (log (/ 1 (pow i 2)))) (log (* 0.015625 (/ 1 (pow i 2)))) (exp (* 0.015625 (/ 1 (pow i 2)))) (* (* (* 0.015625 0.015625) 0.015625) (/ (* (* 1 1) 1) (* (* (pow i 2) (pow i 2)) (pow i 2)))) (* (* (* 0.015625 0.015625) 0.015625) (* (* (/ 1 (pow i 2)) (/ 1 (pow i 2))) (/ 1 (pow i 2)))) (* (cbrt (* 0.015625 (/ 1 (pow i 2)))) (cbrt (* 0.015625 (/ 1 (pow i 2))))) (cbrt (* 0.015625 (/ 1 (pow i 2)))) (* (* (* 0.015625 (/ 1 (pow i 2))) (* 0.015625 (/ 1 (pow i 2)))) (* 0.015625 (/ 1 (pow i 2)))) (sqrt (* 0.015625 (/ 1 (pow i 2)))) (sqrt (* 0.015625 (/ 1 (pow i 2)))) (* (sqrt 0.015625) (sqrt (/ 1 (pow i 2)))) (* (sqrt 0.015625) (sqrt (/ 1 (pow i 2)))) (* (sqrt 0.015625) (/ (sqrt 1) (pow (sqrt i) 2))) (* (sqrt 0.015625) (/ (sqrt 1) (pow (sqrt i) 2))) (* (sqrt 0.015625) (/ (sqrt 1) i)) (* (sqrt 0.015625) (/ (sqrt 1) i)) (* (sqrt 0.015625) (/ (sqrt 1) (sqrt (pow i 2)))) (* (sqrt 0.015625) (/ (sqrt 1) (sqrt (pow i 2)))) (* (sqrt 0.015625) (/ (sqrt 1) (pow i (/ 2 2)))) (* (sqrt 0.015625) (/ (sqrt 1) (pow i (/ 2 2)))) (* (sqrt 0.015625) (/ 1 (pow (sqrt i) 2))) (* (sqrt 0.015625) (/ 1 (pow (sqrt i) 2))) (* (sqrt 0.015625) (/ 1 i)) (* (sqrt 0.015625) (/ 1 i)) (* (sqrt 0.015625) (/ 1 (sqrt (pow i 2)))) (* (sqrt 0.015625) (/ 1 (sqrt (pow i 2)))) (* (sqrt 0.015625) (/ 1 (pow i (/ 2 2)))) (* (sqrt 0.015625) (/ 1 (pow i (/ 2 2)))) (* 0.015625 (* (cbrt (/ 1 (pow i 2))) (cbrt (/ 1 (pow i 2))))) (* 0.015625 (sqrt (/ 1 (pow i 2)))) (* 0.015625 (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt i) (cbrt i)) 2))) (* 0.015625 (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt i) 2))) (* 0.015625 (/ (* (cbrt 1) (cbrt 1)) (pow 1 2))) (* 0.015625 (/ (* (cbrt 1) (cbrt 1)) i)) (* 0.015625 (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow i 2)) (cbrt (pow i 2))))) (* 0.015625 (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow i 2)))) (* 0.015625 (/ (* (cbrt 1) (cbrt 1)) 1)) (* 0.015625 (/ (* (cbrt 1) (cbrt 1)) (pow i (/ 2 2)))) (* 0.015625 (/ (sqrt 1) (pow (* (cbrt i) (cbrt i)) 2))) (* 0.015625 (/ (sqrt 1) (pow (sqrt i) 2))) (* 0.015625 (/ (sqrt 1) (pow 1 2))) (* 0.015625 (/ (sqrt 1) i)) (* 0.015625 (/ (sqrt 1) (* (cbrt (pow i 2)) (cbrt (pow i 2))))) (* 0.015625 (/ (sqrt 1) (sqrt (pow i 2)))) (* 0.015625 (/ (sqrt 1) 1)) (* 0.015625 (/ (sqrt 1) (pow i (/ 2 2)))) (* 0.015625 (/ 1 (pow (* (cbrt i) (cbrt i)) 2))) (* 0.015625 (/ 1 (pow (sqrt i) 2))) (* 0.015625 (/ 1 (pow 1 2))) (* 0.015625 (/ 1 i)) (* 0.015625 (/ 1 (* (cbrt (pow i 2)) (cbrt (pow i 2))))) (* 0.015625 (/ 1 (sqrt (pow i 2)))) (* 0.015625 (/ 1 1)) (* 0.015625 (/ 1 (pow i (/ 2 2)))) (* 0.015625 1) (* 0.015625 1) (* (cbrt 0.015625) (/ 1 (pow i 2))) (* (sqrt 0.015625) (/ 1 (pow i 2))) (* 0.015625 (/ 1 (pow i 2))) (* 0.015625 1) (* (exp (* 0.00390625 (/ 1 (pow i 4)))) (* (exp (* 0.015625 (/ 1 (pow i 2)))) (exp 0.0625))) (* (exp (* 0.00390625 (/ 1 (pow i 4)))) (exp (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))) (log (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))) (exp (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))) (* (cbrt (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))) (cbrt (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)))) (cbrt (+ (* 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)) (+ (* 0.00390625 (/ 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))) (sqrt (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))) (sqrt (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))) (+ (* 0.00390625 (+ (* (* 0.015625 (/ 1 (pow i 2))) (* 0.015625 (/ 1 (pow i 2)))) (- (* 0.0625 0.0625) (* (* 0.015625 (/ 1 (pow i 2))) 0.0625)))) (* (pow i 4) (+ (pow (* 0.015625 (/ 1 (pow i 2))) 3) (pow 0.0625 3)))) (* (pow i 4) (+ (* (* 0.015625 (/ 1 (pow i 2))) (* 0.015625 (/ 1 (pow i 2)))) (- (* 0.0625 0.0625) (* (* 0.015625 (/ 1 (pow i 2))) 0.0625)))) (+ (* 0.00390625 (- (* 0.015625 (/ 1 (pow i 2))) 0.0625)) (* (pow i 4) (- (* (* 0.015625 (/ 1 (pow i 2))) (* 0.015625 (/ 1 (pow i 2)))) (* 0.0625 0.0625)))) (* (pow i 4) (- (* 0.015625 (/ 1 (pow i 2))) 0.0625)) (+ (* (* 0.00390625 1) (+ (* (* 0.015625 (/ 1 (pow i 2))) (* 0.015625 (/ 1 (pow i 2)))) (- (* 0.0625 0.0625) (* (* 0.015625 (/ 1 (pow i 2))) 0.0625)))) (* (pow i 4) (+ (pow (* 0.015625 (/ 1 (pow i 2))) 3) (pow 0.0625 3)))) (* (pow i 4) (+ (* (* 0.015625 (/ 1 (pow i 2))) (* 0.015625 (/ 1 (pow i 2)))) (- (* 0.0625 0.0625) (* (* 0.015625 (/ 1 (pow i 2))) 0.0625)))) (+ (* (* 0.00390625 1) (- (* 0.015625 (/ 1 (pow i 2))) 0.0625)) (* (pow i 4) (- (* (* 0.015625 (/ 1 (pow i 2))) (* 0.015625 (/ 1 (pow i 2)))) (* 0.0625 0.0625)))) (* (pow i 4) (- (* 0.015625 (/ 1 (pow i 2))) 0.0625)) (+ (pow (* 0.00390625 (/ 1 (pow i 4))) 3) (pow (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625) 3)) (+ (* (* 0.00390625 (/ 1 (pow i 4))) (* 0.00390625 (/ 1 (pow i 4)))) (- (* (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) (* (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)))) (- (* (* 0.00390625 (/ 1 (pow i 4))) (* 0.00390625 (/ 1 (pow i 4)))) (* (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))) (- (* 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)))) (/ 1 (pow i 4)) (/ 1 (pow i 4)) (/ 1 (pow i 4)) (/ 1 (pow i 2)) (/ 1 (pow i 2)) (/ 1 (pow i 2)) (/ 0.015625 (pow i 2)) (/ 0.015625 (pow i 2)) (/ 0.015625 (pow i 2)) (+ (* 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)) (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) 1.059 * [simplify]: Sending expressions to egg_math: (- 4) (- (* (log h0) 4)) (- (* (log h0) 4)) (- (log (pow h0 4))) (- 0 (* (log h0) 4)) (- 0 (* (log h0) 4)) (- 0 (log (pow h0 4))) (- (log 1) (* (log h0) 4)) (- (log 1) (* (log h0) 4)) (- (log 1) (log (pow h0 4))) (log (/ 1 (pow h0 4))) (exp (/ 1 (pow h0 4))) (/ (* (* 1 1) 1) (* (* (pow h0 4) (pow h0 4)) (pow h0 4))) (* (cbrt (/ 1 (pow h0 4))) (cbrt (/ 1 (pow h0 4)))) (cbrt (/ 1 (pow h0 4))) (* (* (/ 1 (pow h0 4)) (/ 1 (pow h0 4))) (/ 1 (pow h0 4))) (sqrt (/ 1 (pow h0 4))) (sqrt (/ 1 (pow h0 4))) (- 1) (- (pow h0 4)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt h0) (cbrt h0)) 4)) (/ (cbrt 1) (pow (cbrt h0) 4)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt h0) 4)) (/ (cbrt 1) (pow (sqrt h0) 4)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 4)) (/ (cbrt 1) (pow h0 4)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow h0 4)) (cbrt (pow h0 4)))) (/ (cbrt 1) (cbrt (pow h0 4))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow h0 4))) (/ (cbrt 1) (sqrt (pow h0 4))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow h0 4)) (/ (* (cbrt 1) (cbrt 1)) (pow h0 (/ 4 2))) (/ (cbrt 1) (pow h0 (/ 4 2))) (/ (sqrt 1) (pow (* (cbrt h0) (cbrt h0)) 4)) (/ (sqrt 1) (pow (cbrt h0) 4)) (/ (sqrt 1) (pow (sqrt h0) 4)) (/ (sqrt 1) (pow (sqrt h0) 4)) (/ (sqrt 1) (pow 1 4)) (/ (sqrt 1) (pow h0 4)) (/ (sqrt 1) (* (cbrt (pow h0 4)) (cbrt (pow h0 4)))) (/ (sqrt 1) (cbrt (pow h0 4))) (/ (sqrt 1) (sqrt (pow h0 4))) (/ (sqrt 1) (sqrt (pow h0 4))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow h0 4)) (/ (sqrt 1) (pow h0 (/ 4 2))) (/ (sqrt 1) (pow h0 (/ 4 2))) (/ 1 (pow (* (cbrt h0) (cbrt h0)) 4)) (/ 1 (pow (cbrt h0) 4)) (/ 1 (pow (sqrt h0) 4)) (/ 1 (pow (sqrt h0) 4)) (/ 1 (pow 1 4)) (/ 1 (pow h0 4)) (/ 1 (* (cbrt (pow h0 4)) (cbrt (pow h0 4)))) (/ 1 (cbrt (pow h0 4))) (/ 1 (sqrt (pow h0 4))) (/ 1 (sqrt (pow h0 4))) (/ 1 1) (/ 1 (pow h0 4)) (/ 1 (pow h0 (/ 4 2))) (/ 1 (pow h0 (/ 4 2))) (/ 1 (pow h0 4)) (/ (pow h0 4) 1) (/ 1 (pow (* (cbrt h0) (cbrt h0)) 4)) (/ 1 (pow (sqrt h0) 4)) (/ 1 (pow 1 4)) (/ 1 (* (cbrt (pow h0 4)) (cbrt (pow h0 4)))) (/ 1 (sqrt (pow h0 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(- (* h3 h3) (* (* h1 (/ 1 (pow h0 2))) h3)))) (+ (* h2 (- (* h1 (/ 1 (pow h0 2))) h3)) (* (pow h0 4) (- (* (* h1 (/ 1 (pow h0 2))) (* h1 (/ 1 (pow h0 2)))) (* h3 h3)))) (* (pow h0 4) (- (* h1 (/ 1 (pow h0 2))) h3)) (+ (* (* h2 1) (+ (* (* h1 (/ 1 (pow h0 2))) (* h1 (/ 1 (pow h0 2)))) (- (* h3 h3) (* (* h1 (/ 1 (pow h0 2))) h3)))) (* (pow h0 4) (+ (pow (* h1 (/ 1 (pow h0 2))) 3) (pow h3 3)))) (* (pow h0 4) (+ (* (* h1 (/ 1 (pow h0 2))) (* h1 (/ 1 (pow h0 2)))) (- (* h3 h3) (* (* h1 (/ 1 (pow h0 2))) h3)))) (+ (* (* h2 1) (- (* h1 (/ 1 (pow h0 2))) h3)) (* (pow h0 4) (- (* (* h1 (/ 1 (pow h0 2))) (* h1 (/ 1 (pow h0 2)))) (* h3 h3)))) (* (pow h0 4) (- (* h1 (/ 1 (pow h0 2))) h3)) (+ (pow (* h2 (/ 1 (pow h0 4))) 3) (pow (+ (* h1 (/ 1 (pow h0 2))) h3) 3)) (+ (* (* h2 (/ 1 (pow h0 4))) (* h2 (/ 1 (pow h0 4)))) (- (* (+ (* h1 (/ 1 (pow h0 2))) h3) (+ (* h1 (/ 1 (pow h0 2))) h3)) (* (* h2 (/ 1 (pow h0 4))) (+ (* h1 (/ 1 (pow h0 2))) h3)))) (- (* (* h2 (/ 1 (pow h0 4))) (* h2 (/ 1 (pow h0 4)))) (* (+ (* h1 (/ 1 (pow h0 2))) h3) (+ (* h1 (/ 1 (pow h0 2))) h3))) (- (* h2 (/ 1 (pow h0 4))) (+ (* h1 (/ 1 (pow h0 2))) h3)) (+ (* h2 (/ 1 (pow h0 4))) (* h1 (/ 1 (pow h0 2)))) (/ 1 (pow h0 4)) (/ 1 (pow h0 4)) (/ 1 (pow h0 4)) (/ 1 (pow h0 2)) (/ 1 (pow h0 2)) (/ 1 (pow h0 2)) (/ h1 (pow h0 2)) (/ h1 (pow h0 2)) (/ h1 (pow h0 2)) (+ (* h2 (/ 1 (pow h0 4))) (+ (* h1 (/ 1 (pow h0 2))) h3)) (+ (* h2 (/ 1 (pow h0 4))) (+ (* h1 (/ 1 (pow h0 2))) h3)) (+ (* h2 (/ 1 (pow h0 4))) (+ (* h1 (/ 1 (pow h0 2))) h3)) 1.067 * * [simplify]: iteration 0 : 636 enodes (cost 1125 ) 1.078 * * [simplify]: iteration 1 : 2823 enodes (cost 949 ) 1.124 * * [simplify]: iteration 2 : 5001 enodes (cost 837 ) 1.128 * [simplify]: Simplified to: (- 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))) (pow (/ 1 (pow i 4)) 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0.015625 (pow i 2))) (/ 0.00390625 (pow i 4))) (+ (+ 0.0625 (/ 0.015625 (pow i 2))) (/ 0.00390625 (pow i 4))) 1.129 * * * [progress]: adding candidates to table 1.443 * [progress]: [Phase 3 of 3] Extracting. 1.443 * * [regime]: Finding splitpoints for: (# # #) 1.444 * * * [regime-changes]: Trying 1 branch expressions: (i) 1.444 * * * * [regimes]: Trying to branch on i from (# # #) 1.464 * * * [regime]: Found split indices: #