6.503 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.084 * * * [progress]: [2/2] Setting up program. 0.085 * [progress]: [Phase 2 of 3] Improving. 0.085 * [simplify]: Simplifying using # : (log (/ (- 1.0 eps) (+ 1.0 eps))) 0.086 * [simplify]: Sending expressions to egg_math: (log (/ (- h0 h1) (+ h0 h1))) 0.088 * * [simplify]: iteration 0 : 15 enodes (cost 4 ) 0.089 * * [simplify]: iteration 1 : 20 enodes (cost 4 ) 0.090 * * [simplify]: iteration 2 : 23 enodes (cost 4 ) 0.091 * * [simplify]: iteration 3 : 23 enodes (cost 4 ) 0.091 * [simplify]: Simplified to: (log (/ (- 1.0 eps) (+ 1.0 eps))) 0.092 * * [progress]: iteration 1 / 4 0.092 * * * [progress]: picking best candidate 0.093 * * * * [pick]: Picked # 0.093 * * * [progress]: localizing error 0.098 * * * [progress]: generating rewritten candidates 0.098 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.108 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.137 * * * [progress]: generating series expansions 0.137 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.137 * [approximate]: Taking taylor expansion of (log (/ (- 1.0 eps) (+ eps 1.0))) in (eps) around 0 0.137 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 eps) (+ eps 1.0))) in eps 0.137 * [taylor]: Taking taylor expansion of (/ (- 1.0 eps) (+ eps 1.0)) in eps 0.137 * [taylor]: Taking taylor expansion of (- 1.0 eps) in eps 0.137 * [taylor]: Taking taylor expansion of 1.0 in eps 0.137 * [taylor]: Taking taylor expansion of eps in eps 0.137 * [taylor]: Taking taylor expansion of (+ eps 1.0) in eps 0.137 * [taylor]: Taking taylor expansion of eps in eps 0.137 * [taylor]: Taking taylor expansion of 1.0 in eps 0.139 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 eps) (+ eps 1.0))) in eps 0.139 * [taylor]: Taking taylor expansion of (/ (- 1.0 eps) (+ eps 1.0)) in eps 0.139 * [taylor]: Taking taylor expansion of (- 1.0 eps) in eps 0.139 * [taylor]: Taking taylor expansion of 1.0 in eps 0.139 * [taylor]: Taking taylor expansion of eps in eps 0.139 * [taylor]: Taking taylor expansion of (+ eps 1.0) in eps 0.139 * [taylor]: Taking taylor expansion of eps in eps 0.139 * [taylor]: Taking taylor expansion of 1.0 in eps 0.163 * [approximate]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 eps)) (+ (/ 1 eps) 1.0))) in (eps) around 0 0.163 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 eps)) (+ (/ 1 eps) 1.0))) in eps 0.163 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 eps)) (+ (/ 1 eps) 1.0)) in eps 0.163 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 eps)) in eps 0.163 * [taylor]: Taking taylor expansion of 1.0 in eps 0.163 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.163 * [taylor]: Taking taylor expansion of eps in eps 0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) 1.0) in eps 0.164 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.164 * [taylor]: Taking taylor expansion of eps in eps 0.164 * [taylor]: Taking taylor expansion of 1.0 in eps 0.165 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 eps)) (+ (/ 1 eps) 1.0))) in eps 0.165 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 eps)) (+ (/ 1 eps) 1.0)) in eps 0.165 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 eps)) in eps 0.165 * [taylor]: Taking taylor expansion of 1.0 in eps 0.165 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.165 * [taylor]: Taking taylor expansion of eps in eps 0.165 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) 1.0) in eps 0.165 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.165 * [taylor]: Taking taylor expansion of eps in eps 0.166 * [taylor]: Taking taylor expansion of 1.0 in eps 0.210 * [approximate]: Taking taylor expansion of (log (/ (+ (/ 1 eps) 1.0) (- 1.0 (/ 1 eps)))) in (eps) around 0 0.210 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 eps) 1.0) (- 1.0 (/ 1 eps)))) in eps 0.210 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 eps) 1.0) (- 1.0 (/ 1 eps))) in eps 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) 1.0) in eps 0.210 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.210 * [taylor]: Taking taylor expansion of eps in eps 0.210 * [taylor]: Taking taylor expansion of 1.0 in eps 0.210 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 eps)) in eps 0.210 * [taylor]: Taking taylor expansion of 1.0 in eps 0.210 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.210 * [taylor]: Taking taylor expansion of eps in eps 0.211 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 eps) 1.0) (- 1.0 (/ 1 eps)))) in eps 0.211 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 eps) 1.0) (- 1.0 (/ 1 eps))) in eps 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) 1.0) in eps 0.211 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.211 * [taylor]: Taking taylor expansion of eps in eps 0.212 * [taylor]: Taking taylor expansion of 1.0 in eps 0.212 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 eps)) in eps 0.212 * [taylor]: Taking taylor expansion of 1.0 in eps 0.212 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.212 * [taylor]: Taking taylor expansion of eps in eps 0.253 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.253 * [approximate]: Taking taylor expansion of (/ (- 1.0 eps) (+ eps 1.0)) in (eps) around 0 0.253 * [taylor]: Taking taylor expansion of (/ (- 1.0 eps) (+ eps 1.0)) in eps 0.253 * [taylor]: Taking taylor expansion of (- 1.0 eps) in eps 0.253 * [taylor]: Taking taylor expansion of 1.0 in eps 0.253 * [taylor]: Taking taylor expansion of eps in eps 0.253 * [taylor]: Taking taylor expansion of (+ eps 1.0) in eps 0.253 * [taylor]: Taking taylor expansion of eps in eps 0.253 * [taylor]: Taking taylor expansion of 1.0 in eps 0.254 * [taylor]: Taking taylor expansion of (/ (- 1.0 eps) (+ eps 1.0)) in eps 0.254 * [taylor]: Taking taylor expansion of (- 1.0 eps) in eps 0.254 * [taylor]: Taking taylor expansion of 1.0 in eps 0.254 * [taylor]: Taking taylor expansion of eps in eps 0.254 * [taylor]: Taking taylor expansion of (+ eps 1.0) in eps 0.254 * [taylor]: Taking taylor expansion of eps in eps 0.254 * [taylor]: Taking taylor expansion of 1.0 in eps 0.261 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 eps)) (+ (/ 1 eps) 1.0)) in (eps) around 0 0.261 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 eps)) (+ (/ 1 eps) 1.0)) in eps 0.261 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 eps)) in eps 0.261 * [taylor]: Taking taylor expansion of 1.0 in eps 0.261 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.261 * [taylor]: Taking taylor expansion of eps in eps 0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) 1.0) in eps 0.261 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.261 * [taylor]: Taking taylor expansion of eps in eps 0.262 * [taylor]: Taking taylor expansion of 1.0 in eps 0.262 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 eps)) (+ (/ 1 eps) 1.0)) in eps 0.263 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 eps)) in eps 0.263 * [taylor]: Taking taylor expansion of 1.0 in eps 0.263 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.263 * [taylor]: Taking taylor expansion of eps in eps 0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) 1.0) in eps 0.263 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.263 * [taylor]: Taking taylor expansion of eps in eps 0.263 * [taylor]: Taking taylor expansion of 1.0 in eps 0.271 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 eps) 1.0) (- 1.0 (/ 1 eps))) in (eps) around 0 0.271 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 eps) 1.0) (- 1.0 (/ 1 eps))) in eps 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) 1.0) in eps 0.271 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.271 * [taylor]: Taking taylor expansion of eps in eps 0.272 * [taylor]: Taking taylor expansion of 1.0 in eps 0.272 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 eps)) in eps 0.272 * [taylor]: Taking taylor expansion of 1.0 in eps 0.272 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.272 * [taylor]: Taking taylor expansion of eps in eps 0.273 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 eps) 1.0) (- 1.0 (/ 1 eps))) in eps 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) 1.0) in eps 0.273 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.273 * [taylor]: Taking taylor expansion of eps in eps 0.273 * [taylor]: Taking taylor expansion of 1.0 in eps 0.273 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 eps)) in eps 0.273 * [taylor]: Taking taylor expansion of 1.0 in eps 0.273 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.273 * [taylor]: Taking taylor expansion of eps in eps 0.282 * * * [progress]: simplifying candidates 0.289 * [simplify]: Simplifying using # : (expm1 (log (/ (- 1.0 eps) (+ 1.0 eps)))) (log1p (log (/ (- 1.0 eps) (+ 1.0 eps)))) (log (* (cbrt (/ (- 1.0 eps) (+ 1.0 eps))) (cbrt (/ (- 1.0 eps) (+ 1.0 eps))))) (log (cbrt (/ (- 1.0 eps) (+ 1.0 eps)))) (log (sqrt (/ (- 1.0 eps) (+ 1.0 eps)))) (log (sqrt (/ (- 1.0 eps) (+ 1.0 eps)))) (log (/ (* (cbrt (- 1.0 eps)) (cbrt (- 1.0 eps))) (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps))))) (log (/ (cbrt (- 1.0 eps)) (cbrt (+ 1.0 eps)))) (log (/ (* (cbrt (- 1.0 eps)) (cbrt (- 1.0 eps))) (sqrt (+ 1.0 eps)))) (log (/ (cbrt (- 1.0 eps)) (sqrt (+ 1.0 eps)))) (log (/ (* (cbrt (- 1.0 eps)) (cbrt (- 1.0 eps))) 1)) (log (/ (cbrt (- 1.0 eps)) (+ 1.0 eps))) (log (/ (* (cbrt (- 1.0 eps)) (cbrt (- 1.0 eps))) 1)) (log (/ (cbrt (- 1.0 eps)) (+ 1.0 eps))) (log (/ (sqrt (- 1.0 eps)) (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps))))) (log (/ (sqrt (- 1.0 eps)) (cbrt (+ 1.0 eps)))) (log (/ (sqrt (- 1.0 eps)) (sqrt (+ 1.0 eps)))) (log (/ (sqrt (- 1.0 eps)) (sqrt (+ 1.0 eps)))) (log (/ (sqrt (- 1.0 eps)) 1)) (log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps))) (log (/ (sqrt (- 1.0 eps)) 1)) (log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps))) (log (/ 1 (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps))))) (log (/ (- 1.0 eps) (cbrt (+ 1.0 eps)))) (log (/ 1 (sqrt (+ 1.0 eps)))) (log (/ (- 1.0 eps) (sqrt (+ 1.0 eps)))) (log (/ 1 1)) (log (/ (- 1.0 eps) (+ 1.0 eps))) (log (/ 1 1)) (log (/ (- 1.0 eps) (+ 1.0 eps))) (log (/ (+ (sqrt 1.0) (sqrt eps)) (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps))))) (log (/ (- (sqrt 1.0) (sqrt eps)) (cbrt (+ 1.0 eps)))) (log (/ (+ (sqrt 1.0) (sqrt eps)) (sqrt (+ 1.0 eps)))) (log (/ (- (sqrt 1.0) (sqrt eps)) (sqrt (+ 1.0 eps)))) (log (/ (+ (sqrt 1.0) (sqrt eps)) 1)) (log (/ (- (sqrt 1.0) (sqrt eps)) (+ 1.0 eps))) (log (/ (+ (sqrt 1.0) (sqrt eps)) 1)) (log (/ (- (sqrt 1.0) (sqrt eps)) (+ 1.0 eps))) (log (/ 1 (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps))))) (log (/ (- 1.0 eps) (cbrt (+ 1.0 eps)))) (log (/ 1 (sqrt (+ 1.0 eps)))) (log (/ (- 1.0 eps) (sqrt (+ 1.0 eps)))) (log (/ 1 1)) (log (/ (- 1.0 eps) (+ 1.0 eps))) (log (/ 1 1)) (log (/ (- 1.0 eps) (+ 1.0 eps))) (log 1) (log (/ (- 1.0 eps) (+ 1.0 eps))) (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))) (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))) (log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps)))) (log (- 1.0 eps)) (log (- 1.0 eps)) (log (+ 1.0 eps)) (log (/ (- 1.0 eps) (+ 1.0 eps))) (log (log (/ (- 1.0 eps) (+ 1.0 eps)))) (exp (log (/ (- 1.0 eps) (+ 1.0 eps)))) (* (cbrt (log (/ (- 1.0 eps) (+ 1.0 eps)))) (cbrt (log (/ (- 1.0 eps) (+ 1.0 eps))))) (cbrt (log (/ (- 1.0 eps) (+ 1.0 eps)))) (* (* (log (/ (- 1.0 eps) (+ 1.0 eps))) (log (/ (- 1.0 eps) (+ 1.0 eps)))) (log (/ (- 1.0 eps) (+ 1.0 eps)))) (sqrt (log (/ (- 1.0 eps) (+ 1.0 eps)))) (sqrt (log (/ (- 1.0 eps) (+ 1.0 eps)))) (expm1 (/ (- 1.0 eps) (+ 1.0 eps))) (log1p (/ (- 1.0 eps) (+ 1.0 eps))) (- (log (- 1.0 eps)) (log (+ 1.0 eps))) (log (/ (- 1.0 eps) (+ 1.0 eps))) (exp (/ (- 1.0 eps) (+ 1.0 eps))) (/ (* (* (- 1.0 eps) (- 1.0 eps)) (- 1.0 eps)) (* (* (+ 1.0 eps) (+ 1.0 eps)) (+ 1.0 eps))) (* (cbrt (/ (- 1.0 eps) (+ 1.0 eps))) (cbrt (/ (- 1.0 eps) (+ 1.0 eps)))) (cbrt (/ (- 1.0 eps) (+ 1.0 eps))) (* (* (/ (- 1.0 eps) (+ 1.0 eps)) (/ (- 1.0 eps) (+ 1.0 eps))) (/ (- 1.0 eps) (+ 1.0 eps))) (sqrt (/ (- 1.0 eps) (+ 1.0 eps))) (sqrt (/ (- 1.0 eps) (+ 1.0 eps))) (- (- 1.0 eps)) (- (+ 1.0 eps)) (/ 1.0 (+ 1.0 eps)) (/ eps (+ 1.0 eps)) (/ (* (cbrt (- 1.0 eps)) (cbrt (- 1.0 eps))) (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps)))) (/ (cbrt (- 1.0 eps)) (cbrt (+ 1.0 eps))) (/ (* (cbrt (- 1.0 eps)) (cbrt (- 1.0 eps))) (sqrt (+ 1.0 eps))) (/ (cbrt (- 1.0 eps)) (sqrt (+ 1.0 eps))) (/ (* (cbrt (- 1.0 eps)) (cbrt (- 1.0 eps))) 1) (/ (cbrt (- 1.0 eps)) (+ 1.0 eps)) (/ (* (cbrt (- 1.0 eps)) (cbrt (- 1.0 eps))) 1) (/ (cbrt (- 1.0 eps)) (+ 1.0 eps)) (/ (sqrt (- 1.0 eps)) (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps)))) (/ (sqrt (- 1.0 eps)) (cbrt (+ 1.0 eps))) (/ (sqrt (- 1.0 eps)) (sqrt (+ 1.0 eps))) (/ (sqrt (- 1.0 eps)) (sqrt (+ 1.0 eps))) (/ (sqrt (- 1.0 eps)) 1) (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)) (/ (sqrt (- 1.0 eps)) 1) (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)) (/ 1 (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps)))) (/ (- 1.0 eps) (cbrt (+ 1.0 eps))) (/ 1 (sqrt (+ 1.0 eps))) (/ (- 1.0 eps) (sqrt (+ 1.0 eps))) (/ 1 1) (/ (- 1.0 eps) (+ 1.0 eps)) (/ 1 1) (/ (- 1.0 eps) (+ 1.0 eps)) (/ (+ (sqrt 1.0) (sqrt eps)) (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps)))) (/ (- (sqrt 1.0) (sqrt eps)) (cbrt (+ 1.0 eps))) (/ (+ (sqrt 1.0) (sqrt eps)) (sqrt (+ 1.0 eps))) (/ (- (sqrt 1.0) (sqrt eps)) (sqrt (+ 1.0 eps))) (/ (+ (sqrt 1.0) (sqrt eps)) 1) (/ (- (sqrt 1.0) (sqrt eps)) (+ 1.0 eps)) (/ (+ (sqrt 1.0) (sqrt eps)) 1) (/ (- (sqrt 1.0) (sqrt eps)) (+ 1.0 eps)) (/ 1 (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps)))) (/ (- 1.0 eps) (cbrt (+ 1.0 eps))) (/ 1 (sqrt (+ 1.0 eps))) (/ (- 1.0 eps) (sqrt (+ 1.0 eps))) (/ 1 1) (/ (- 1.0 eps) (+ 1.0 eps)) (/ 1 1) (/ (- 1.0 eps) (+ 1.0 eps)) (/ 1 (+ 1.0 eps)) (/ (+ 1.0 eps) (- 1.0 eps)) (/ (- 1.0 eps) (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps)))) (/ (- 1.0 eps) (sqrt (+ 1.0 eps))) (/ (- 1.0 eps) 1) (/ (- 1.0 eps) 1) (/ (+ 1.0 eps) (cbrt (- 1.0 eps))) (/ (+ 1.0 eps) (sqrt (- 1.0 eps))) (/ (+ 1.0 eps) (- 1.0 eps)) (/ (+ 1.0 eps) (- (sqrt 1.0) (sqrt eps))) (/ (+ 1.0 eps) (- 1.0 eps)) (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))) (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps))) (* (+ 1.0 eps) (+ (* 1.0 1.0) (+ (* eps eps) (* 1.0 eps)))) (* (+ 1.0 eps) (+ 1.0 eps)) (- (+ (* 2.0 (pow eps 2)) (log 1.0)) (+ (* 2.0 (/ (pow eps 2) (pow 1.0 2))) (* 2.0 eps))) (- (log -1) (+ (* 0.6666666666666666 (/ 1 (pow eps 3))) (* 2.0 (/ 1 eps)))) (- (log -1) (+ (* 0.6666666666666666 (/ 1 (pow eps 3))) (* 2.0 (/ 1 eps)))) (- (+ (* 2.0 (pow eps 2)) 1.0) (* 2.0 eps)) (- (* 2.0 (/ 1 eps)) (+ (* 2.0 (/ 1 (pow eps 2))) 1)) (- (* 2.0 (/ 1 eps)) (+ (* 2.0 (/ 1 (pow eps 2))) 1)) 0.290 * [simplify]: Sending expressions to egg_math: (expm1 (log (/ (- h0 h1) (+ h0 h1)))) (log1p (log (/ (- h0 h1) (+ h0 h1)))) (log (* (cbrt (/ (- h0 h1) (+ h0 h1))) (cbrt (/ (- h0 h1) (+ h0 h1))))) (log (cbrt (/ (- h0 h1) (+ h0 h1)))) (log (sqrt (/ (- h0 h1) (+ h0 h1)))) (log (sqrt (/ (- h0 h1) (+ h0 h1)))) (log (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (log (/ (cbrt (- h0 h1)) (cbrt (+ h0 h1)))) (log (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) (sqrt (+ h0 h1)))) (log (/ (cbrt (- h0 h1)) (sqrt (+ h0 h1)))) (log (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) 1)) (log (/ (cbrt (- h0 h1)) (+ h0 h1))) (log (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) 1)) (log (/ (cbrt (- h0 h1)) (+ h0 h1))) (log (/ (sqrt (- h0 h1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (log (/ (sqrt (- h0 h1)) (cbrt (+ h0 h1)))) (log (/ (sqrt (- h0 h1)) (sqrt (+ h0 h1)))) (log (/ (sqrt (- h0 h1)) (sqrt (+ h0 h1)))) (log (/ (sqrt (- h0 h1)) 1)) (log (/ (sqrt (- h0 h1)) (+ h0 h1))) (log (/ (sqrt (- h0 h1)) 1)) (log (/ (sqrt (- h0 h1)) (+ h0 h1))) (log (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (log (/ (- h0 h1) (cbrt (+ h0 h1)))) (log (/ 1 (sqrt (+ h0 h1)))) (log (/ (- h0 h1) (sqrt (+ h0 h1)))) (log (/ 1 1)) (log (/ (- h0 h1) (+ h0 h1))) (log (/ 1 1)) (log (/ (- h0 h1) (+ h0 h1))) (log (/ (+ (sqrt h0) (sqrt h1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (log (/ (- (sqrt h0) (sqrt h1)) (cbrt (+ h0 h1)))) (log (/ (+ (sqrt h0) (sqrt h1)) (sqrt (+ h0 h1)))) (log (/ (- (sqrt h0) (sqrt h1)) (sqrt (+ h0 h1)))) (log (/ (+ (sqrt h0) (sqrt h1)) 1)) (log (/ (- (sqrt h0) (sqrt h1)) (+ h0 h1))) (log (/ (+ (sqrt h0) (sqrt h1)) 1)) (log (/ (- (sqrt h0) (sqrt h1)) (+ h0 h1))) (log (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (log (/ (- h0 h1) (cbrt (+ h0 h1)))) (log (/ 1 (sqrt (+ h0 h1)))) (log (/ (- h0 h1) (sqrt (+ h0 h1)))) (log (/ 1 1)) (log (/ (- h0 h1) (+ h0 h1))) (log (/ 1 1)) (log (/ (- h0 h1) (+ h0 h1))) (log 1) (log (/ (- h0 h1) (+ h0 h1))) (log (- h0 h1)) (log (/ 1 (+ h0 h1))) (log (/ (- h0 h1) (+ (pow h0 3) (pow h1 3)))) (log (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (log (/ (- h0 h1) (- (* h0 h0) (* h1 h1)))) (log (- h0 h1)) (log (- h0 h1)) (log (+ h0 h1)) (log (/ (- h0 h1) (+ h0 h1))) (log (log (/ (- h0 h1) (+ h0 h1)))) (exp (log (/ (- h0 h1) (+ h0 h1)))) (* (cbrt (log (/ (- h0 h1) (+ h0 h1)))) (cbrt (log (/ (- h0 h1) (+ h0 h1))))) (cbrt (log (/ (- h0 h1) (+ h0 h1)))) (* (* (log (/ (- h0 h1) (+ h0 h1))) (log (/ (- h0 h1) (+ h0 h1)))) (log (/ (- h0 h1) (+ h0 h1)))) (sqrt (log (/ (- h0 h1) (+ h0 h1)))) (sqrt (log (/ (- h0 h1) (+ h0 h1)))) (expm1 (/ (- h0 h1) (+ h0 h1))) (log1p (/ (- h0 h1) (+ h0 h1))) (- (log (- h0 h1)) (log (+ h0 h1))) (log (/ (- h0 h1) (+ h0 h1))) (exp (/ (- h0 h1) (+ h0 h1))) (/ (* (* (- h0 h1) (- h0 h1)) (- h0 h1)) (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1))) (* (cbrt (/ (- h0 h1) (+ h0 h1))) (cbrt (/ (- h0 h1) (+ h0 h1)))) (cbrt (/ (- h0 h1) (+ h0 h1))) (* (* (/ (- h0 h1) (+ h0 h1)) (/ (- h0 h1) (+ h0 h1))) (/ (- h0 h1) (+ h0 h1))) (sqrt (/ (- h0 h1) (+ h0 h1))) (sqrt (/ (- h0 h1) (+ h0 h1))) (- (- h0 h1)) (- (+ h0 h1)) (/ h0 (+ h0 h1)) (/ h1 (+ h0 h1)) (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ (cbrt (- h0 h1)) (cbrt (+ h0 h1))) (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) (sqrt (+ h0 h1))) (/ (cbrt (- h0 h1)) (sqrt (+ h0 h1))) (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) 1) (/ (cbrt (- h0 h1)) (+ h0 h1)) (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) 1) (/ (cbrt (- h0 h1)) (+ h0 h1)) (/ (sqrt (- h0 h1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ (sqrt (- h0 h1)) (cbrt (+ h0 h1))) (/ (sqrt (- h0 h1)) (sqrt (+ h0 h1))) (/ (sqrt (- h0 h1)) (sqrt (+ h0 h1))) (/ (sqrt (- h0 h1)) 1) (/ (sqrt (- h0 h1)) (+ h0 h1)) (/ (sqrt (- h0 h1)) 1) (/ (sqrt (- h0 h1)) (+ h0 h1)) (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ (- h0 h1) (cbrt (+ h0 h1))) (/ 1 (sqrt (+ h0 h1))) (/ (- h0 h1) (sqrt (+ h0 h1))) (/ 1 1) (/ (- h0 h1) (+ h0 h1)) (/ 1 1) (/ (- h0 h1) (+ h0 h1)) (/ (+ (sqrt h0) (sqrt h1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ (- (sqrt h0) (sqrt h1)) (cbrt (+ h0 h1))) (/ (+ (sqrt h0) (sqrt h1)) (sqrt (+ h0 h1))) (/ (- (sqrt h0) (sqrt h1)) (sqrt (+ h0 h1))) (/ (+ (sqrt h0) (sqrt h1)) 1) (/ (- (sqrt h0) (sqrt h1)) (+ h0 h1)) (/ (+ (sqrt h0) (sqrt h1)) 1) (/ (- (sqrt h0) (sqrt h1)) (+ h0 h1)) (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ (- h0 h1) (cbrt (+ h0 h1))) (/ 1 (sqrt (+ h0 h1))) (/ (- h0 h1) (sqrt (+ h0 h1))) (/ 1 1) (/ (- h0 h1) (+ h0 h1)) (/ 1 1) (/ (- h0 h1) (+ h0 h1)) (/ 1 (+ h0 h1)) (/ (+ h0 h1) (- h0 h1)) (/ (- h0 h1) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ (- h0 h1) (sqrt (+ h0 h1))) (/ (- h0 h1) 1) (/ (- h0 h1) 1) (/ (+ h0 h1) (cbrt (- h0 h1))) (/ (+ h0 h1) (sqrt (- h0 h1))) (/ (+ h0 h1) (- h0 h1)) (/ (+ h0 h1) (- (sqrt h0) (sqrt h1))) (/ (+ h0 h1) (- h0 h1)) (/ (- h0 h1) (+ (pow h0 3) (pow h1 3))) (/ (- h0 h1) (- (* h0 h0) (* h1 h1))) (* (+ h0 h1) (+ (* h0 h0) (+ (* h1 h1) (* h0 h1)))) (* (+ h0 h1) (+ h0 h1)) (- (+ (* h2 (pow h1 2)) (log h0)) (+ (* h2 (/ (pow h1 2) (pow h0 2))) (* h2 h1))) (- (log -1) (+ (* h3 (/ 1 (pow h1 3))) (* h2 (/ 1 h1)))) (- (log -1) (+ (* h3 (/ 1 (pow h1 3))) (* h2 (/ 1 h1)))) (- (+ (* h2 (pow h1 2)) h0) (* h2 h1)) (- (* h2 (/ 1 h1)) (+ (* h2 (/ 1 (pow h1 2))) 1)) (- (* h2 (/ 1 h1)) (+ (* h2 (/ 1 (pow h1 2))) 1)) 0.295 * * [simplify]: iteration 0 : 354 enodes (cost 672 ) 0.300 * * [simplify]: iteration 1 : 1096 enodes (cost 638 ) 0.320 * * [simplify]: iteration 2 : 4786 enodes (cost 623 ) 0.425 * * [simplify]: iteration 3 : 5001 enodes (cost 622 ) 0.429 * [simplify]: Simplified to: (expm1 (log (/ (- 1.0 eps) (+ 1.0 eps)))) (log1p (log (/ (- 1.0 eps) (+ 1.0 eps)))) (* 2 (log (cbrt (/ (- 1.0 eps) (+ 1.0 eps))))) (log (cbrt (/ (- 1.0 eps) (+ 1.0 eps)))) (log (sqrt (/ (- 1.0 eps) (+ 1.0 eps)))) (log (sqrt (/ (- 1.0 eps) (+ 1.0 eps)))) (* 2 (log (/ (cbrt (- 1.0 eps)) (cbrt (+ 1.0 eps))))) (log (/ (cbrt (- 1.0 eps)) (cbrt (+ 1.0 eps)))) (fma 2 (log (cbrt (- 1.0 eps))) (log (/ 1 (sqrt (+ 1.0 eps))))) (log (/ (cbrt (- 1.0 eps)) (sqrt (+ 1.0 eps)))) (* 2 (log (cbrt (- 1.0 eps)))) (log (/ (cbrt (- 1.0 eps)) (+ 1.0 eps))) (* 2 (log (cbrt (- 1.0 eps)))) (log (/ (cbrt (- 1.0 eps)) (+ 1.0 eps))) (log (/ (sqrt (- 1.0 eps)) (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps))))) (log (/ (sqrt (- 1.0 eps)) (cbrt (+ 1.0 eps)))) (log (/ (sqrt (- 1.0 eps)) (sqrt (+ 1.0 eps)))) (log (/ (sqrt (- 1.0 eps)) (sqrt (+ 1.0 eps)))) (log (sqrt (- 1.0 eps))) (log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps))) (log (sqrt (- 1.0 eps))) (log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps))) (- 0 (+ 0 (* 2 (log (cbrt (+ 1.0 eps)))))) (log (/ (- 1.0 eps) (cbrt (+ 1.0 eps)))) (log (/ 1 (sqrt (+ 1.0 eps)))) (log (/ (- 1.0 eps) (sqrt (+ 1.0 eps)))) 0 (log (/ (- 1.0 eps) (+ 1.0 eps))) 0 (log (/ (- 1.0 eps) (+ 1.0 eps))) (log (/ (+ (sqrt 1.0) (sqrt eps)) (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps))))) (log (/ (- (sqrt 1.0) (sqrt eps)) (cbrt (+ 1.0 eps)))) (log (/ (+ (sqrt 1.0) (sqrt eps)) (sqrt (+ 1.0 eps)))) (log (/ (- (sqrt 1.0) (sqrt eps)) (sqrt (+ 1.0 eps)))) (log (+ (sqrt 1.0) (sqrt eps))) (log (/ (- (sqrt 1.0) (sqrt eps)) (+ 1.0 eps))) (log (+ (sqrt 1.0) (sqrt eps))) (log (/ (- (sqrt 1.0) (sqrt eps)) (+ 1.0 eps))) (- 0 (+ 0 (* 2 (log (cbrt (+ 1.0 eps)))))) (log (/ (- 1.0 eps) (cbrt (+ 1.0 eps)))) (log (/ 1 (sqrt (+ 1.0 eps)))) (log (/ (- 1.0 eps) (sqrt (+ 1.0 eps)))) 0 (log (/ (- 1.0 eps) (+ 1.0 eps))) 0 (log (/ (- 1.0 eps) (+ 1.0 eps))) 0 (log (/ (- 1.0 eps) (+ 1.0 eps))) (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))) (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))) (log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps)))) (log (- 1.0 eps)) (log (- 1.0 eps)) (log (+ 1.0 eps)) (log (/ (- 1.0 eps) (+ 1.0 eps))) (log (log (/ (- 1.0 eps) (+ 1.0 eps)))) (/ (- 1.0 eps) (+ 1.0 eps)) (* (cbrt (log (/ (- 1.0 eps) (+ 1.0 eps)))) (cbrt (log (/ (- 1.0 eps) (+ 1.0 eps))))) (cbrt (log (/ (- 1.0 eps) (+ 1.0 eps)))) (pow (log (/ (- 1.0 eps) (+ 1.0 eps))) 3) (sqrt (log (/ (- 1.0 eps) (+ 1.0 eps)))) (sqrt (log (/ (- 1.0 eps) (+ 1.0 eps)))) (expm1 (/ (- 1.0 eps) (+ 1.0 eps))) (log1p (/ (- 1.0 eps) (+ 1.0 eps))) (log (/ (- 1.0 eps) (+ 1.0 eps))) (log (/ (- 1.0 eps) (+ 1.0 eps))) (exp (/ (- 1.0 eps) (+ 1.0 eps))) (pow (/ (- 1.0 eps) (+ 1.0 eps)) 3) (* (cbrt (/ (- 1.0 eps) (+ 1.0 eps))) (cbrt (/ (- 1.0 eps) (+ 1.0 eps)))) (cbrt (/ (- 1.0 eps) (+ 1.0 eps))) (pow (/ (- 1.0 eps) (+ 1.0 eps)) 3) (sqrt (/ (- 1.0 eps) (+ 1.0 eps))) (sqrt (/ (- 1.0 eps) (+ 1.0 eps))) (- eps 1.0) (- (+ 1.0 eps)) (/ 1.0 (+ 1.0 eps)) (/ eps (+ 1.0 eps)) (/ (* (cbrt (- 1.0 eps)) (cbrt (- 1.0 eps))) (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps)))) (/ (cbrt (- 1.0 eps)) (cbrt (+ 1.0 eps))) (/ (* (cbrt (- 1.0 eps)) (cbrt (- 1.0 eps))) (sqrt (+ 1.0 eps))) (/ (cbrt (- 1.0 eps)) (sqrt (+ 1.0 eps))) (* (cbrt (- 1.0 eps)) (cbrt (- 1.0 eps))) (/ (cbrt (- 1.0 eps)) (+ 1.0 eps)) (* (cbrt (- 1.0 eps)) (cbrt (- 1.0 eps))) (/ (cbrt (- 1.0 eps)) (+ 1.0 eps)) (/ (sqrt (- 1.0 eps)) (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps)))) (/ (sqrt (- 1.0 eps)) (cbrt (+ 1.0 eps))) (/ (sqrt (- 1.0 eps)) (sqrt (+ 1.0 eps))) (/ (sqrt (- 1.0 eps)) (sqrt (+ 1.0 eps))) (sqrt (- 1.0 eps)) (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)) (sqrt (- 1.0 eps)) (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)) (/ 1 (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps)))) (/ (- 1.0 eps) (cbrt (+ 1.0 eps))) (/ 1 (sqrt (+ 1.0 eps))) (/ (- 1.0 eps) (sqrt (+ 1.0 eps))) 1 (/ (- 1.0 eps) (+ 1.0 eps)) 1 (/ (- 1.0 eps) (+ 1.0 eps)) (/ (+ (sqrt 1.0) (sqrt eps)) (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps)))) (/ (- (sqrt 1.0) (sqrt eps)) (cbrt (+ 1.0 eps))) (/ (+ (sqrt 1.0) (sqrt eps)) (sqrt (+ 1.0 eps))) (/ (- (sqrt 1.0) (sqrt eps)) (sqrt (+ 1.0 eps))) (+ (sqrt 1.0) (sqrt eps)) (/ (- (sqrt 1.0) (sqrt eps)) (+ 1.0 eps)) (+ (sqrt 1.0) (sqrt eps)) (/ (- (sqrt 1.0) (sqrt eps)) (+ 1.0 eps)) (/ 1 (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps)))) (/ (- 1.0 eps) (cbrt (+ 1.0 eps))) (/ 1 (sqrt (+ 1.0 eps))) (/ (- 1.0 eps) (sqrt (+ 1.0 eps))) 1 (/ (- 1.0 eps) (+ 1.0 eps)) 1 (/ (- 1.0 eps) (+ 1.0 eps)) (/ 1 (+ 1.0 eps)) (/ (+ 1.0 eps) (- 1.0 eps)) (/ (- 1.0 eps) (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps)))) (/ (- 1.0 eps) (sqrt (+ 1.0 eps))) (- 1.0 eps) (- 1.0 eps) (/ (+ 1.0 eps) (cbrt (- 1.0 eps))) (/ (+ 1.0 eps) (sqrt (- 1.0 eps))) (/ (+ 1.0 eps) (- 1.0 eps)) (/ (+ 1.0 eps) (- (sqrt 1.0) (sqrt eps))) (/ (+ 1.0 eps) (- 1.0 eps)) (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))) (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps))) (* (fma 1.0 1.0 (fma eps eps (* 1.0 eps))) (+ 1.0 eps)) (* (+ 1.0 eps) (+ 1.0 eps)) (+ (* 2.0 (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))) (log 1.0)) (+ (log -1) (- (/ (- 0.6666666666666666) (pow eps 3)) (/ 2.0 eps))) (+ (log -1) (- (/ (- 0.6666666666666666) (pow eps 3)) (/ 2.0 eps))) (fma (pow eps 2) 2.0 (- 1.0 (* 2.0 eps))) (fma 2.0 (/ 1 eps) (- (fma 2.0 (/ 1 (pow eps 2)) 1))) (fma 2.0 (/ 1 eps) (- (fma 2.0 (/ 1 (pow eps 2)) 1))) 0.430 * * * [progress]: adding candidates to table 0.603 * * [progress]: iteration 2 / 4 0.603 * * * [progress]: picking best candidate 0.609 * * * * [pick]: Picked # 0.609 * * * [progress]: localizing error 0.618 * * * [progress]: generating rewritten candidates 0.618 * * * [progress]: generating series expansions 0.619 * * * [progress]: simplifying candidates 0.619 * [simplify]: Simplifying using # : 0.619 * [simplify]: Sending expressions to egg_math: 0.621 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.621 * [simplify]: Simplified to: 0.621 * * * [progress]: adding candidates to table 0.621 * * [progress]: iteration 3 / 4 0.621 * * * [progress]: picking best candidate 0.626 * * * * [pick]: Picked # 0.626 * * * [progress]: localizing error 0.637 * * * [progress]: generating rewritten candidates 0.637 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.643 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.650 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.665 * * * [progress]: generating series expansions 0.665 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.665 * [approximate]: Taking taylor expansion of (log (- 1.0 eps)) in (eps) around 0 0.665 * [taylor]: Taking taylor expansion of (log (- 1.0 eps)) in eps 0.665 * [taylor]: Taking taylor expansion of (- 1.0 eps) in eps 0.665 * [taylor]: Taking taylor expansion of 1.0 in eps 0.665 * [taylor]: Taking taylor expansion of eps in eps 0.666 * [taylor]: Taking taylor expansion of (log (- 1.0 eps)) in eps 0.666 * [taylor]: Taking taylor expansion of (- 1.0 eps) in eps 0.666 * [taylor]: Taking taylor expansion of 1.0 in eps 0.667 * [taylor]: Taking taylor expansion of eps in eps 0.679 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 eps))) in (eps) around 0 0.679 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 eps))) in eps 0.679 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 eps)) in eps 0.679 * [taylor]: Taking taylor expansion of 1.0 in eps 0.679 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.679 * [taylor]: Taking taylor expansion of eps in eps 0.680 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 eps))) in eps 0.680 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 eps)) in eps 0.680 * [taylor]: Taking taylor expansion of 1.0 in eps 0.680 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.680 * [taylor]: Taking taylor expansion of eps in eps 0.693 * [approximate]: Taking taylor expansion of (log (+ (/ 1 eps) 1.0)) in (eps) around 0 0.693 * [taylor]: Taking taylor expansion of (log (+ (/ 1 eps) 1.0)) in eps 0.693 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) 1.0) in eps 0.693 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.693 * [taylor]: Taking taylor expansion of eps in eps 0.693 * [taylor]: Taking taylor expansion of 1.0 in eps 0.694 * [taylor]: Taking taylor expansion of (log (+ (/ 1 eps) 1.0)) in eps 0.694 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) 1.0) in eps 0.694 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.694 * [taylor]: Taking taylor expansion of eps in eps 0.694 * [taylor]: Taking taylor expansion of 1.0 in eps 0.706 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.706 * [approximate]: Taking taylor expansion of (log (/ 1 (+ eps 1.0))) in (eps) around 0 0.706 * [taylor]: Taking taylor expansion of (log (/ 1 (+ eps 1.0))) in eps 0.706 * [taylor]: Taking taylor expansion of (/ 1 (+ eps 1.0)) in eps 0.706 * [taylor]: Taking taylor expansion of (+ eps 1.0) in eps 0.706 * [taylor]: Taking taylor expansion of eps in eps 0.706 * [taylor]: Taking taylor expansion of 1.0 in eps 0.711 * [taylor]: Taking taylor expansion of (log (/ 1 (+ eps 1.0))) in eps 0.711 * [taylor]: Taking taylor expansion of (/ 1 (+ eps 1.0)) in eps 0.711 * [taylor]: Taking taylor expansion of (+ eps 1.0) in eps 0.711 * [taylor]: Taking taylor expansion of eps in eps 0.712 * [taylor]: Taking taylor expansion of 1.0 in eps 0.733 * [approximate]: Taking taylor expansion of (log (/ 1 (+ (/ 1 eps) 1.0))) in (eps) around 0 0.733 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (/ 1 eps) 1.0))) in eps 0.733 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 eps) 1.0)) in eps 0.733 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) 1.0) in eps 0.734 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.734 * [taylor]: Taking taylor expansion of eps in eps 0.734 * [taylor]: Taking taylor expansion of 1.0 in eps 0.734 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (/ 1 eps) 1.0))) in eps 0.734 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 eps) 1.0)) in eps 0.734 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) 1.0) in eps 0.734 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.734 * [taylor]: Taking taylor expansion of eps in eps 0.735 * [taylor]: Taking taylor expansion of 1.0 in eps 0.753 * [approximate]: Taking taylor expansion of (log (/ 1 (- 1.0 (/ 1 eps)))) in (eps) around 0 0.753 * [taylor]: Taking taylor expansion of (log (/ 1 (- 1.0 (/ 1 eps)))) in eps 0.753 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 eps))) in eps 0.753 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 eps)) in eps 0.753 * [taylor]: Taking taylor expansion of 1.0 in eps 0.753 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.753 * [taylor]: Taking taylor expansion of eps in eps 0.754 * [taylor]: Taking taylor expansion of (log (/ 1 (- 1.0 (/ 1 eps)))) in eps 0.754 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 eps))) in eps 0.754 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 eps)) in eps 0.754 * [taylor]: Taking taylor expansion of 1.0 in eps 0.754 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.754 * [taylor]: Taking taylor expansion of eps in eps 0.774 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 0.775 * [approximate]: Taking taylor expansion of (/ 1 (+ eps 1.0)) in (eps) around 0 0.775 * [taylor]: Taking taylor expansion of (/ 1 (+ eps 1.0)) in eps 0.775 * [taylor]: Taking taylor expansion of (+ eps 1.0) in eps 0.775 * [taylor]: Taking taylor expansion of eps in eps 0.775 * [taylor]: Taking taylor expansion of 1.0 in eps 0.775 * [taylor]: Taking taylor expansion of (/ 1 (+ eps 1.0)) in eps 0.775 * [taylor]: Taking taylor expansion of (+ eps 1.0) in eps 0.775 * [taylor]: Taking taylor expansion of eps in eps 0.775 * [taylor]: Taking taylor expansion of 1.0 in eps 0.780 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 eps) 1.0)) in (eps) around 0 0.780 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 eps) 1.0)) in eps 0.780 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) 1.0) in eps 0.780 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.780 * [taylor]: Taking taylor expansion of eps in eps 0.780 * [taylor]: Taking taylor expansion of 1.0 in eps 0.781 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 eps) 1.0)) in eps 0.781 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) 1.0) in eps 0.781 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.781 * [taylor]: Taking taylor expansion of eps in eps 0.781 * [taylor]: Taking taylor expansion of 1.0 in eps 0.787 * [approximate]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 eps))) in (eps) around 0 0.787 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 eps))) in eps 0.787 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 eps)) in eps 0.787 * [taylor]: Taking taylor expansion of 1.0 in eps 0.787 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.787 * [taylor]: Taking taylor expansion of eps in eps 0.788 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 eps))) in eps 0.788 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 eps)) in eps 0.788 * [taylor]: Taking taylor expansion of 1.0 in eps 0.788 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.788 * [taylor]: Taking taylor expansion of eps in eps 0.802 * * * [progress]: simplifying candidates 0.803 * [simplify]: Simplifying using # : (expm1 (log (- 1.0 eps))) (log1p (log (- 1.0 eps))) (log (* (cbrt (- 1.0 eps)) (cbrt (- 1.0 eps)))) (log (cbrt (- 1.0 eps))) (log (sqrt (- 1.0 eps))) (log (sqrt (- 1.0 eps))) (log 1) (log (- 1.0 eps)) (log (+ (sqrt 1.0) (sqrt eps))) (log (- (sqrt 1.0) (sqrt eps))) (log 1) (log (- 1.0 eps)) (log (- (pow 1.0 3) (pow eps 3))) (log (+ (* 1.0 1.0) (+ (* eps eps) (* 1.0 eps)))) (log (- (* 1.0 1.0) (* eps eps))) (log (+ 1.0 eps)) (log (- 1.0 eps)) (log (log (- 1.0 eps))) (exp (log (- 1.0 eps))) (* (cbrt (log (- 1.0 eps))) (cbrt (log (- 1.0 eps)))) (cbrt (log (- 1.0 eps))) (* (* (log (- 1.0 eps)) (log (- 1.0 eps))) (log (- 1.0 eps))) (sqrt (log (- 1.0 eps))) (sqrt (log (- 1.0 eps))) (expm1 (log (/ 1 (+ 1.0 eps)))) (log1p (log (/ 1 (+ 1.0 eps)))) (log (* (cbrt (/ 1 (+ 1.0 eps))) (cbrt (/ 1 (+ 1.0 eps))))) (log (cbrt (/ 1 (+ 1.0 eps)))) (log (sqrt (/ 1 (+ 1.0 eps)))) (log (sqrt (/ 1 (+ 1.0 eps)))) (log (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps))))) (log (/ (cbrt 1) (cbrt (+ 1.0 eps)))) (log (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ 1.0 eps)))) (log (/ (cbrt 1) (sqrt (+ 1.0 eps)))) (log (/ (* (cbrt 1) (cbrt 1)) 1)) (log (/ (cbrt 1) (+ 1.0 eps))) (log (/ (* (cbrt 1) (cbrt 1)) 1)) (log (/ (cbrt 1) (+ 1.0 eps))) (log (/ (sqrt 1) (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps))))) (log (/ (sqrt 1) (cbrt (+ 1.0 eps)))) (log (/ (sqrt 1) (sqrt (+ 1.0 eps)))) (log (/ (sqrt 1) (sqrt (+ 1.0 eps)))) (log (/ (sqrt 1) 1)) (log (/ (sqrt 1) (+ 1.0 eps))) (log (/ (sqrt 1) 1)) (log (/ (sqrt 1) (+ 1.0 eps))) (log (/ 1 (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps))))) (log (/ 1 (cbrt (+ 1.0 eps)))) (log (/ 1 (sqrt (+ 1.0 eps)))) (log (/ 1 (sqrt (+ 1.0 eps)))) (log (/ 1 1)) (log (/ 1 (+ 1.0 eps))) (log (/ 1 1)) (log (/ 1 (+ 1.0 eps))) (log 1) (log (/ 1 (+ 1.0 eps))) (log 1) (log (/ 1 (+ 1.0 eps))) (log (/ 1 (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))) (log (/ 1 (- (* 1.0 1.0) (* eps eps)))) (log (- 1.0 eps)) (log 1) (log (+ 1.0 eps)) (log (+ 1.0 eps)) (log (+ 1.0 eps)) (log (+ 1.0 eps)) (log (/ 1 (+ 1.0 eps))) (log (log (/ 1 (+ 1.0 eps)))) (exp (log (/ 1 (+ 1.0 eps)))) (* (cbrt (log (/ 1 (+ 1.0 eps)))) (cbrt (log (/ 1 (+ 1.0 eps))))) (cbrt (log (/ 1 (+ 1.0 eps)))) (* (* (log (/ 1 (+ 1.0 eps))) (log (/ 1 (+ 1.0 eps)))) (log (/ 1 (+ 1.0 eps)))) (sqrt (log (/ 1 (+ 1.0 eps)))) (sqrt (log (/ 1 (+ 1.0 eps)))) (expm1 (/ 1 (+ 1.0 eps))) (log1p (/ 1 (+ 1.0 eps))) (- 1) (- (log (+ 1.0 eps))) (- 0 (log (+ 1.0 eps))) (- (log 1) (log (+ 1.0 eps))) (log (/ 1 (+ 1.0 eps))) (exp (/ 1 (+ 1.0 eps))) (/ (* (* 1 1) 1) (* (* (+ 1.0 eps) (+ 1.0 eps)) (+ 1.0 eps))) (* (cbrt (/ 1 (+ 1.0 eps))) (cbrt (/ 1 (+ 1.0 eps)))) (cbrt (/ 1 (+ 1.0 eps))) (* (* (/ 1 (+ 1.0 eps)) (/ 1 (+ 1.0 eps))) (/ 1 (+ 1.0 eps))) (sqrt (/ 1 (+ 1.0 eps))) (sqrt (/ 1 (+ 1.0 eps))) (- 1) (- (+ 1.0 eps)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps)))) (/ (cbrt 1) (cbrt (+ 1.0 eps))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ 1.0 eps))) (/ (cbrt 1) (sqrt (+ 1.0 eps))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ 1.0 eps)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ 1.0 eps)) (/ (sqrt 1) (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps)))) (/ (sqrt 1) (cbrt (+ 1.0 eps))) (/ (sqrt 1) (sqrt (+ 1.0 eps))) (/ (sqrt 1) (sqrt (+ 1.0 eps))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ 1.0 eps)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ 1.0 eps)) (/ 1 (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps)))) (/ 1 (cbrt (+ 1.0 eps))) (/ 1 (sqrt (+ 1.0 eps))) (/ 1 (sqrt (+ 1.0 eps))) (/ 1 1) (/ 1 (+ 1.0 eps)) (/ 1 1) (/ 1 (+ 1.0 eps)) (/ 1 (+ 1.0 eps)) (/ (+ 1.0 eps) 1) (/ 1 (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps)))) (/ 1 (sqrt (+ 1.0 eps))) (/ 1 1) (/ 1 1) (/ (+ 1.0 eps) (cbrt 1)) (/ (+ 1.0 eps) (sqrt 1)) (/ (+ 1.0 eps) 1) (/ 1 (+ (pow 1.0 3) (pow eps 3))) (/ 1 (- (* 1.0 1.0) (* eps eps))) (- (log 1.0) (+ (* 1/2 (/ (pow eps 2) (pow 1.0 2))) (* 1.0 eps))) (- (log -1) (+ (* 0.5 (/ 1 (pow eps 2))) (+ (log (/ 1 eps)) (* 1.0 (/ 1 eps))))) (- (+ (log (/ -1 eps)) (+ (* 0.5 (/ 1 (pow eps 2))) (* 1.0 (/ 1 eps))))) (- (+ (* 1.0 (pow eps 2)) (log 1.0)) (+ (* 0.5 (/ (pow eps 2) (pow 1.0 2))) (* 1.0 eps))) (- (+ (* 0.5 (/ 1 (pow eps 2))) (log (/ 1 eps))) (* 1.0 (/ 1 eps))) (- (+ (log -1) (+ (* 0.5 (/ 1 (pow eps 2))) (log (/ -1 eps)))) (* 1.0 (/ 1 eps))) (- (+ (* 1.0 (pow eps 2)) 1.0) (* 1.0 eps)) (- (+ (* 1.0 (/ 1 (pow eps 3))) (/ 1 eps)) (* 1.0 (/ 1 (pow eps 2)))) (- (+ (* 1.0 (/ 1 (pow eps 3))) (/ 1 eps)) (* 1.0 (/ 1 (pow eps 2)))) 0.804 * [simplify]: Sending expressions to egg_math: (expm1 (log (- h0 h1))) (log1p (log (- h0 h1))) (log (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (log (cbrt (- h0 h1))) (log (sqrt (- h0 h1))) (log (sqrt (- h0 h1))) (log 1) (log (- h0 h1)) (log (+ (sqrt h0) (sqrt h1))) (log (- (sqrt h0) (sqrt h1))) (log 1) (log (- h0 h1)) (log (- (pow h0 3) (pow h1 3))) (log (+ (* h0 h0) (+ (* h1 h1) (* h0 h1)))) (log (- (* h0 h0) (* h1 h1))) (log (+ h0 h1)) (log (- h0 h1)) (log (log (- h0 h1))) (exp (log (- h0 h1))) (* (cbrt (log (- h0 h1))) (cbrt (log (- h0 h1)))) (cbrt (log (- h0 h1))) (* (* (log (- h0 h1)) (log (- h0 h1))) (log (- h0 h1))) (sqrt (log (- h0 h1))) (sqrt (log (- h0 h1))) (expm1 (log (/ 1 (+ h0 h1)))) (log1p (log (/ 1 (+ h0 h1)))) (log (* (cbrt (/ 1 (+ h0 h1))) (cbrt (/ 1 (+ h0 h1))))) (log (cbrt (/ 1 (+ h0 h1)))) (log (sqrt (/ 1 (+ h0 h1)))) (log (sqrt (/ 1 (+ h0 h1)))) (log (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (log (/ (cbrt 1) (cbrt (+ h0 h1)))) (log (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ h0 h1)))) (log (/ (cbrt 1) (sqrt (+ h0 h1)))) (log (/ (* (cbrt 1) (cbrt 1)) 1)) (log (/ (cbrt 1) (+ h0 h1))) (log (/ (* (cbrt 1) (cbrt 1)) 1)) (log (/ (cbrt 1) (+ h0 h1))) (log (/ (sqrt 1) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (log (/ (sqrt 1) (cbrt (+ h0 h1)))) (log (/ (sqrt 1) (sqrt (+ h0 h1)))) (log (/ (sqrt 1) (sqrt (+ h0 h1)))) (log (/ (sqrt 1) 1)) (log (/ (sqrt 1) (+ h0 h1))) (log (/ (sqrt 1) 1)) (log (/ (sqrt 1) (+ h0 h1))) (log (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (log (/ 1 (cbrt (+ h0 h1)))) (log (/ 1 (sqrt (+ h0 h1)))) (log (/ 1 (sqrt (+ h0 h1)))) (log (/ 1 1)) (log (/ 1 (+ h0 h1))) (log (/ 1 1)) (log (/ 1 (+ h0 h1))) (log 1) (log (/ 1 (+ h0 h1))) (log 1) (log (/ 1 (+ h0 h1))) (log (/ 1 (+ (pow h0 3) (pow h1 3)))) (log (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (log (/ 1 (- (* h0 h0) (* h1 h1)))) (log (- h0 h1)) (log 1) (log (+ h0 h1)) (log (+ h0 h1)) (log (+ h0 h1)) (log (+ h0 h1)) (log (/ 1 (+ h0 h1))) (log (log (/ 1 (+ h0 h1)))) (exp (log (/ 1 (+ h0 h1)))) (* (cbrt (log (/ 1 (+ h0 h1)))) (cbrt (log (/ 1 (+ h0 h1))))) (cbrt (log (/ 1 (+ h0 h1)))) (* (* (log (/ 1 (+ h0 h1))) (log (/ 1 (+ h0 h1)))) (log (/ 1 (+ h0 h1)))) (sqrt (log (/ 1 (+ h0 h1)))) (sqrt (log (/ 1 (+ h0 h1)))) (expm1 (/ 1 (+ h0 h1))) (log1p (/ 1 (+ h0 h1))) (- 1) (- (log (+ h0 h1))) (- 0 (log (+ h0 h1))) (- (log 1) (log (+ h0 h1))) (log (/ 1 (+ h0 h1))) (exp (/ 1 (+ h0 h1))) (/ (* (* 1 1) 1) (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1))) (* (cbrt (/ 1 (+ h0 h1))) (cbrt (/ 1 (+ h0 h1)))) (cbrt (/ 1 (+ h0 h1))) (* (* (/ 1 (+ h0 h1)) (/ 1 (+ h0 h1))) (/ 1 (+ h0 h1))) (sqrt (/ 1 (+ h0 h1))) (sqrt (/ 1 (+ h0 h1))) (- 1) (- (+ h0 h1)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ (cbrt 1) (cbrt (+ h0 h1))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ h0 h1))) (/ (cbrt 1) (sqrt (+ h0 h1))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ h0 h1)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ h0 h1)) (/ (sqrt 1) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ (sqrt 1) (cbrt (+ h0 h1))) (/ (sqrt 1) (sqrt (+ h0 h1))) (/ (sqrt 1) (sqrt (+ h0 h1))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ h0 h1)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ h0 h1)) (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ 1 (cbrt (+ h0 h1))) (/ 1 (sqrt (+ h0 h1))) (/ 1 (sqrt (+ h0 h1))) (/ 1 1) (/ 1 (+ h0 h1)) (/ 1 1) (/ 1 (+ h0 h1)) (/ 1 (+ h0 h1)) (/ (+ h0 h1) 1) (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ 1 (sqrt (+ h0 h1))) (/ 1 1) (/ 1 1) (/ (+ h0 h1) (cbrt 1)) (/ (+ h0 h1) (sqrt 1)) (/ (+ h0 h1) 1) (/ 1 (+ (pow h0 3) (pow h1 3))) (/ 1 (- (* h0 h0) (* h1 h1))) (- (log h0) (+ (* 1/2 (/ (pow h1 2) (pow h0 2))) (* h0 h1))) (- (log -1) (+ (* h2 (/ 1 (pow h1 2))) (+ (log (/ 1 h1)) (* h0 (/ 1 h1))))) (- (+ (log (/ -1 h1)) (+ (* h2 (/ 1 (pow h1 2))) (* h0 (/ 1 h1))))) (- (+ (* h0 (pow h1 2)) (log h0)) (+ (* h2 (/ (pow h1 2) (pow h0 2))) (* h0 h1))) (- (+ (* h2 (/ 1 (pow h1 2))) (log (/ 1 h1))) (* h0 (/ 1 h1))) (- (+ (log -1) (+ (* h2 (/ 1 (pow h1 2))) (log (/ -1 h1)))) (* h0 (/ 1 h1))) (- (+ (* h0 (pow h1 2)) h0) (* h0 h1)) (- (+ (* h0 (/ 1 (pow h1 3))) (/ 1 h1)) (* h0 (/ 1 (pow h1 2)))) (- (+ (* h0 (/ 1 (pow h1 3))) (/ 1 h1)) (* h0 (/ 1 (pow h1 2)))) 0.809 * * [simplify]: iteration 0 : 361 enodes (cost 534 ) 0.815 * * [simplify]: iteration 1 : 1177 enodes (cost 474 ) 0.835 * * [simplify]: iteration 2 : 4809 enodes (cost 428 ) 0.931 * * [simplify]: iteration 3 : 5001 enodes (cost 425 ) 0.934 * [simplify]: Simplified to: (expm1 (log (- 1.0 eps))) (log1p (log (- 1.0 eps))) (* 2 (log (cbrt (- 1.0 eps)))) (log (cbrt (- 1.0 eps))) (log (sqrt (- 1.0 eps))) (log (sqrt (- 1.0 eps))) 0 (log (- 1.0 eps)) (log (+ (sqrt 1.0) (sqrt eps))) (log (- (sqrt 1.0) (sqrt eps))) 0 (log (- 1.0 eps)) (log (- (pow 1.0 3) (pow eps 3))) (log (+ (* 1.0 1.0) (+ (* eps eps) (* 1.0 eps)))) (log (- (* 1.0 1.0) (* eps eps))) (log (+ 1.0 eps)) (log (- 1.0 eps)) (log (log (- 1.0 eps))) (- 1.0 eps) (* (cbrt (log (- 1.0 eps))) (cbrt (log (- 1.0 eps)))) (cbrt (log (- 1.0 eps))) (pow (log (- 1.0 eps)) 3) (sqrt (log (- 1.0 eps))) (sqrt (log (- 1.0 eps))) (expm1 (log (/ 1 (+ 1.0 eps)))) (log1p (log (/ 1 (+ 1.0 eps)))) (* 2 (log (cbrt (/ 1 (+ 1.0 eps))))) (log (cbrt (/ 1 (+ 1.0 eps)))) (log (sqrt (/ 1 (+ 1.0 eps)))) (log (sqrt (/ 1 (+ 1.0 eps)))) (fma 2 (log (/ 1 (cbrt (+ 1.0 eps)))) 0) (log (/ 1 (cbrt (+ 1.0 eps)))) (log (/ 1 (sqrt (+ 1.0 eps)))) (log (/ 1 (sqrt (+ 1.0 eps)))) 0 (log (/ 1 (+ 1.0 eps))) 0 (log (/ 1 (+ 1.0 eps))) (fma 2 (log (/ 1 (cbrt (+ 1.0 eps)))) 0) (log (/ 1 (cbrt (+ 1.0 eps)))) (log (/ 1 (sqrt (+ 1.0 eps)))) (log (/ 1 (sqrt (+ 1.0 eps)))) 0 (log (/ 1 (+ 1.0 eps))) 0 (log (/ 1 (+ 1.0 eps))) (fma 2 (log (/ 1 (cbrt (+ 1.0 eps)))) 0) (log (/ 1 (cbrt (+ 1.0 eps)))) (log (/ 1 (sqrt (+ 1.0 eps)))) (log (/ 1 (sqrt (+ 1.0 eps)))) 0 (log (/ 1 (+ 1.0 eps))) 0 (log (/ 1 (+ 1.0 eps))) 0 (log (/ 1 (+ 1.0 eps))) 0 (log (/ 1 (+ 1.0 eps))) (log (/ 1 (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))) (log (/ 1 (- (* 1.0 1.0) (* eps eps)))) (log (- 1.0 eps)) 0 (log (+ 1.0 eps)) (log (+ 1.0 eps)) (log (+ 1.0 eps)) (log (+ 1.0 eps)) (log (/ 1 (+ 1.0 eps))) (log (log (/ 1 (+ 1.0 eps)))) (/ 1 (+ 1.0 eps)) (* (cbrt (log (/ 1 (+ 1.0 eps)))) (cbrt (log (/ 1 (+ 1.0 eps))))) (cbrt (log (/ 1 (+ 1.0 eps)))) (pow (log (/ 1 (+ 1.0 eps))) 3) (sqrt (log (/ 1 (+ 1.0 eps)))) (sqrt (log (/ 1 (+ 1.0 eps)))) (expm1 (/ 1 (+ 1.0 eps))) (log1p (/ 1 (+ 1.0 eps))) (- 1) (log (/ 1 (+ 1.0 eps))) (log (/ 1 (+ 1.0 eps))) (log (/ 1 (+ 1.0 eps))) (log (/ 1 (+ 1.0 eps))) (exp (/ 1 (+ 1.0 eps))) (/ 1 (pow (+ 1.0 eps) 3)) (* (cbrt (/ 1 (+ 1.0 eps))) (cbrt (/ 1 (+ 1.0 eps)))) (cbrt (/ 1 (+ 1.0 eps))) (/ 1 (pow (+ 1.0 eps) 3)) (sqrt (/ 1 (+ 1.0 eps))) (sqrt (/ 1 (+ 1.0 eps))) (- 1) (- (+ 1.0 eps)) (/ 1 (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps)))) (/ 1 (cbrt (+ 1.0 eps))) (/ 1 (sqrt (+ 1.0 eps))) (/ 1 (sqrt (+ 1.0 eps))) 1 (/ 1 (+ 1.0 eps)) 1 (/ 1 (+ 1.0 eps)) (/ 1 (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps)))) (/ 1 (cbrt (+ 1.0 eps))) (/ 1 (sqrt (+ 1.0 eps))) (/ 1 (sqrt (+ 1.0 eps))) 1 (/ 1 (+ 1.0 eps)) 1 (/ 1 (+ 1.0 eps)) (/ 1 (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps)))) (/ 1 (cbrt (+ 1.0 eps))) (/ 1 (sqrt (+ 1.0 eps))) (/ 1 (sqrt (+ 1.0 eps))) 1 (/ 1 (+ 1.0 eps)) 1 (/ 1 (+ 1.0 eps)) (/ 1 (+ 1.0 eps)) (+ 1.0 eps) (/ 1 (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps)))) (/ 1 (sqrt (+ 1.0 eps))) 1 1 (+ 1.0 eps) (+ 1.0 eps) (+ 1.0 eps) (/ 1 (+ (pow 1.0 3) (pow eps 3))) (/ 1 (- (* 1.0 1.0) (* eps eps))) (- (log 1.0) (+ (* 1/2 (/ (pow eps 2) (pow 1.0 2))) (* 1.0 eps))) (+ (- (log -1) (fma 0.5 (/ 1 (pow eps 2)) (/ 1.0 eps))) (log eps)) (- (- (- (log (/ -1 eps))) (/ (/ 0.5 eps) eps)) (/ 1.0 eps)) (fma (pow eps 2) 1.0 (- (log 1.0) (fma 0.5 (/ (pow eps 2) (pow 1.0 2)) (* 1.0 eps)))) (+ (/ (- 1.0) eps) (- (/ (/ 0.5 eps) eps) (log eps))) (+ (+ (log -1) (log (/ -1 eps))) (* (/ 1 eps) (- (/ 0.5 eps) 1.0))) (* 1.0 (- (fma eps eps 1) eps)) (- (/ 1 eps) (- (/ 1.0 (pow eps 2)) (/ 1.0 (pow eps 3)))) (- (/ 1 eps) (- (/ 1.0 (pow eps 2)) (/ 1.0 (pow eps 3)))) 0.935 * * * [progress]: adding candidates to table 1.073 * * [progress]: iteration 4 / 4 1.073 * * * [progress]: picking best candidate 1.077 * * * * [pick]: Picked # 1.077 * * * [progress]: localizing error 1.089 * * * [progress]: generating rewritten candidates 1.089 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.095 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 1.102 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 1.109 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1) 1.120 * * * [progress]: generating series expansions 1.120 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.121 * [approximate]: Taking taylor expansion of (log (- 1.0 eps)) in (eps) around 0 1.121 * [taylor]: Taking taylor expansion of (log (- 1.0 eps)) in eps 1.121 * [taylor]: Taking taylor expansion of (- 1.0 eps) in eps 1.121 * [taylor]: Taking taylor expansion of 1.0 in eps 1.121 * [taylor]: Taking taylor expansion of eps in eps 1.122 * [taylor]: Taking taylor expansion of (log (- 1.0 eps)) in eps 1.122 * [taylor]: Taking taylor expansion of (- 1.0 eps) in eps 1.122 * [taylor]: Taking taylor expansion of 1.0 in eps 1.122 * [taylor]: Taking taylor expansion of eps in eps 1.139 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 eps))) in (eps) around 0 1.139 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 eps))) in eps 1.139 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 eps)) in eps 1.139 * [taylor]: Taking taylor expansion of 1.0 in eps 1.139 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.139 * [taylor]: Taking taylor expansion of eps in eps 1.140 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 eps))) in eps 1.140 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 eps)) in eps 1.140 * [taylor]: Taking taylor expansion of 1.0 in eps 1.140 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.140 * [taylor]: Taking taylor expansion of eps in eps 1.154 * [approximate]: Taking taylor expansion of (log (+ (/ 1 eps) 1.0)) in (eps) around 0 1.154 * [taylor]: Taking taylor expansion of (log (+ (/ 1 eps) 1.0)) in eps 1.154 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) 1.0) in eps 1.154 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.154 * [taylor]: Taking taylor expansion of eps in eps 1.155 * [taylor]: Taking taylor expansion of 1.0 in eps 1.155 * [taylor]: Taking taylor expansion of (log (+ (/ 1 eps) 1.0)) in eps 1.155 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) 1.0) in eps 1.155 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.155 * [taylor]: Taking taylor expansion of eps in eps 1.155 * [taylor]: Taking taylor expansion of 1.0 in eps 1.167 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 1.168 * [approximate]: Taking taylor expansion of (log (/ 1 (+ eps 1.0))) in (eps) around 0 1.168 * [taylor]: Taking taylor expansion of (log (/ 1 (+ eps 1.0))) in eps 1.168 * [taylor]: Taking taylor expansion of (/ 1 (+ eps 1.0)) in eps 1.168 * [taylor]: Taking taylor expansion of (+ eps 1.0) in eps 1.168 * [taylor]: Taking taylor expansion of eps in eps 1.168 * [taylor]: Taking taylor expansion of 1.0 in eps 1.168 * [taylor]: Taking taylor expansion of (log (/ 1 (+ eps 1.0))) in eps 1.168 * [taylor]: Taking taylor expansion of (/ 1 (+ eps 1.0)) in eps 1.169 * [taylor]: Taking taylor expansion of (+ eps 1.0) in eps 1.169 * [taylor]: Taking taylor expansion of eps in eps 1.169 * [taylor]: Taking taylor expansion of 1.0 in eps 1.190 * [approximate]: Taking taylor expansion of (log (/ 1 (+ (/ 1 eps) 1.0))) in (eps) around 0 1.190 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (/ 1 eps) 1.0))) in eps 1.190 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 eps) 1.0)) in eps 1.190 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) 1.0) in eps 1.190 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.190 * [taylor]: Taking taylor expansion of eps in eps 1.191 * [taylor]: Taking taylor expansion of 1.0 in eps 1.191 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (/ 1 eps) 1.0))) in eps 1.191 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 eps) 1.0)) in eps 1.191 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) 1.0) in eps 1.191 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.191 * [taylor]: Taking taylor expansion of eps in eps 1.192 * [taylor]: Taking taylor expansion of 1.0 in eps 1.210 * [approximate]: Taking taylor expansion of (log (/ 1 (- 1.0 (/ 1 eps)))) in (eps) around 0 1.210 * [taylor]: Taking taylor expansion of (log (/ 1 (- 1.0 (/ 1 eps)))) in eps 1.210 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 eps))) in eps 1.210 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 eps)) in eps 1.210 * [taylor]: Taking taylor expansion of 1.0 in eps 1.210 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.210 * [taylor]: Taking taylor expansion of eps in eps 1.211 * [taylor]: Taking taylor expansion of (log (/ 1 (- 1.0 (/ 1 eps)))) in eps 1.211 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 eps))) in eps 1.211 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 eps)) in eps 1.211 * [taylor]: Taking taylor expansion of 1.0 in eps 1.211 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.211 * [taylor]: Taking taylor expansion of eps in eps 1.237 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 1.237 * [approximate]: Taking taylor expansion of (log (/ 1 (+ eps 1.0))) in (eps) around 0 1.237 * [taylor]: Taking taylor expansion of (log (/ 1 (+ eps 1.0))) in eps 1.237 * [taylor]: Taking taylor expansion of (/ 1 (+ eps 1.0)) in eps 1.237 * [taylor]: Taking taylor expansion of (+ eps 1.0) in eps 1.237 * [taylor]: Taking taylor expansion of eps in eps 1.237 * [taylor]: Taking taylor expansion of 1.0 in eps 1.238 * [taylor]: Taking taylor expansion of (log (/ 1 (+ eps 1.0))) in eps 1.238 * [taylor]: Taking taylor expansion of (/ 1 (+ eps 1.0)) in eps 1.238 * [taylor]: Taking taylor expansion of (+ eps 1.0) in eps 1.238 * [taylor]: Taking taylor expansion of eps in eps 1.238 * [taylor]: Taking taylor expansion of 1.0 in eps 1.259 * [approximate]: Taking taylor expansion of (log (/ 1 (+ (/ 1 eps) 1.0))) in (eps) around 0 1.259 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (/ 1 eps) 1.0))) in eps 1.259 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 eps) 1.0)) in eps 1.259 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) 1.0) in eps 1.259 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.259 * [taylor]: Taking taylor expansion of eps in eps 1.260 * [taylor]: Taking taylor expansion of 1.0 in eps 1.260 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (/ 1 eps) 1.0))) in eps 1.260 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 eps) 1.0)) in eps 1.260 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) 1.0) in eps 1.260 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.260 * [taylor]: Taking taylor expansion of eps in eps 1.260 * [taylor]: Taking taylor expansion of 1.0 in eps 1.278 * [approximate]: Taking taylor expansion of (log (/ 1 (- 1.0 (/ 1 eps)))) in (eps) around 0 1.278 * [taylor]: Taking taylor expansion of (log (/ 1 (- 1.0 (/ 1 eps)))) in eps 1.278 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 eps))) in eps 1.278 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 eps)) in eps 1.278 * [taylor]: Taking taylor expansion of 1.0 in eps 1.278 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.278 * [taylor]: Taking taylor expansion of eps in eps 1.279 * [taylor]: Taking taylor expansion of (log (/ 1 (- 1.0 (/ 1 eps)))) in eps 1.279 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 eps))) in eps 1.279 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 eps)) in eps 1.279 * [taylor]: Taking taylor expansion of 1.0 in eps 1.279 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.279 * [taylor]: Taking taylor expansion of eps in eps 1.299 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1) 1.299 * [approximate]: Taking taylor expansion of (log (/ 1 (+ eps 1.0))) in (eps) around 0 1.299 * [taylor]: Taking taylor expansion of (log (/ 1 (+ eps 1.0))) in eps 1.299 * [taylor]: Taking taylor expansion of (/ 1 (+ eps 1.0)) in eps 1.299 * [taylor]: Taking taylor expansion of (+ eps 1.0) in eps 1.299 * [taylor]: Taking taylor expansion of eps in eps 1.299 * [taylor]: Taking taylor expansion of 1.0 in eps 1.300 * [taylor]: Taking taylor expansion of (log (/ 1 (+ eps 1.0))) in eps 1.300 * [taylor]: Taking taylor expansion of (/ 1 (+ eps 1.0)) in eps 1.300 * [taylor]: Taking taylor expansion of (+ eps 1.0) in eps 1.300 * [taylor]: Taking taylor expansion of eps in eps 1.300 * [taylor]: Taking taylor expansion of 1.0 in eps 1.327 * [approximate]: Taking taylor expansion of (log (/ 1 (+ (/ 1 eps) 1.0))) in (eps) around 0 1.327 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (/ 1 eps) 1.0))) in eps 1.327 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 eps) 1.0)) in eps 1.327 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) 1.0) in eps 1.327 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.327 * [taylor]: Taking taylor expansion of eps in eps 1.328 * [taylor]: Taking taylor expansion of 1.0 in eps 1.328 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (/ 1 eps) 1.0))) in eps 1.328 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 eps) 1.0)) in eps 1.328 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) 1.0) in eps 1.328 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.328 * [taylor]: Taking taylor expansion of eps in eps 1.329 * [taylor]: Taking taylor expansion of 1.0 in eps 1.346 * [approximate]: Taking taylor expansion of (log (/ 1 (- 1.0 (/ 1 eps)))) in (eps) around 0 1.346 * [taylor]: Taking taylor expansion of (log (/ 1 (- 1.0 (/ 1 eps)))) in eps 1.346 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 eps))) in eps 1.346 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 eps)) in eps 1.346 * [taylor]: Taking taylor expansion of 1.0 in eps 1.347 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.347 * [taylor]: Taking taylor expansion of eps in eps 1.348 * [taylor]: Taking taylor expansion of (log (/ 1 (- 1.0 (/ 1 eps)))) in eps 1.348 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 eps))) in eps 1.348 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 eps)) in eps 1.348 * [taylor]: Taking taylor expansion of 1.0 in eps 1.348 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.348 * [taylor]: Taking taylor expansion of eps in eps 1.368 * * * [progress]: simplifying candidates 1.369 * [simplify]: Simplifying using # : (expm1 (log (- 1.0 eps))) (log1p (log (- 1.0 eps))) (log (* (cbrt (- 1.0 eps)) (cbrt (- 1.0 eps)))) (log (cbrt (- 1.0 eps))) (log (sqrt (- 1.0 eps))) (log (sqrt (- 1.0 eps))) (log 1) (log (- 1.0 eps)) (log (+ (sqrt 1.0) (sqrt eps))) (log (- (sqrt 1.0) (sqrt eps))) (log 1) (log (- 1.0 eps)) (log (- (pow 1.0 3) (pow eps 3))) (log (+ (* 1.0 1.0) (+ (* eps eps) (* 1.0 eps)))) (log (- (* 1.0 1.0) (* eps eps))) (log (+ 1.0 eps)) (log (- 1.0 eps)) (log (log (- 1.0 eps))) (exp (log (- 1.0 eps))) (* (cbrt (log (- 1.0 eps))) (cbrt (log (- 1.0 eps)))) (cbrt (log (- 1.0 eps))) (* (* (log (- 1.0 eps)) (log (- 1.0 eps))) (log (- 1.0 eps))) (sqrt (log (- 1.0 eps))) (sqrt (log (- 1.0 eps))) (expm1 (log (/ 1 (+ 1.0 eps)))) (log1p (log (/ 1 (+ 1.0 eps)))) (log (* (cbrt (/ 1 (+ 1.0 eps))) (cbrt (/ 1 (+ 1.0 eps))))) (log (cbrt (/ 1 (+ 1.0 eps)))) (log (sqrt (/ 1 (+ 1.0 eps)))) (log (sqrt (/ 1 (+ 1.0 eps)))) (log (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps))))) (log (/ (cbrt 1) (cbrt (+ 1.0 eps)))) (log (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ 1.0 eps)))) (log (/ (cbrt 1) (sqrt (+ 1.0 eps)))) (log (/ (* (cbrt 1) (cbrt 1)) 1)) (log (/ (cbrt 1) (+ 1.0 eps))) (log (/ (* (cbrt 1) (cbrt 1)) 1)) (log (/ (cbrt 1) (+ 1.0 eps))) (log (/ (sqrt 1) (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps))))) (log (/ (sqrt 1) (cbrt (+ 1.0 eps)))) (log (/ (sqrt 1) (sqrt (+ 1.0 eps)))) (log (/ (sqrt 1) (sqrt (+ 1.0 eps)))) (log (/ (sqrt 1) 1)) (log (/ (sqrt 1) (+ 1.0 eps))) (log (/ (sqrt 1) 1)) (log (/ (sqrt 1) (+ 1.0 eps))) (log (/ 1 (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps))))) (log (/ 1 (cbrt (+ 1.0 eps)))) (log (/ 1 (sqrt (+ 1.0 eps)))) (log (/ 1 (sqrt (+ 1.0 eps)))) (log (/ 1 1)) (log (/ 1 (+ 1.0 eps))) (log (/ 1 1)) (log (/ 1 (+ 1.0 eps))) (log 1) (log (/ 1 (+ 1.0 eps))) (log 1) (log (/ 1 (+ 1.0 eps))) (log (/ 1 (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))) (log (/ 1 (- (* 1.0 1.0) (* eps eps)))) (log (- 1.0 eps)) (log 1) (log (+ 1.0 eps)) (log (+ 1.0 eps)) (log (+ 1.0 eps)) (log (+ 1.0 eps)) (log (/ 1 (+ 1.0 eps))) (log (log (/ 1 (+ 1.0 eps)))) (exp (log (/ 1 (+ 1.0 eps)))) (* (cbrt (log (/ 1 (+ 1.0 eps)))) (cbrt (log (/ 1 (+ 1.0 eps))))) (cbrt (log (/ 1 (+ 1.0 eps)))) (* (* (log (/ 1 (+ 1.0 eps))) (log (/ 1 (+ 1.0 eps)))) (log (/ 1 (+ 1.0 eps)))) (sqrt (log (/ 1 (+ 1.0 eps)))) (sqrt (log (/ 1 (+ 1.0 eps)))) (expm1 (log (/ 1 (+ 1.0 eps)))) (log1p (log (/ 1 (+ 1.0 eps)))) (log (* (cbrt (/ 1 (+ 1.0 eps))) (cbrt (/ 1 (+ 1.0 eps))))) (log (cbrt (/ 1 (+ 1.0 eps)))) (log (sqrt (/ 1 (+ 1.0 eps)))) (log (sqrt (/ 1 (+ 1.0 eps)))) (log (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps))))) (log (/ (cbrt 1) (cbrt (+ 1.0 eps)))) (log (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ 1.0 eps)))) (log (/ (cbrt 1) (sqrt (+ 1.0 eps)))) (log (/ (* (cbrt 1) (cbrt 1)) 1)) (log (/ (cbrt 1) (+ 1.0 eps))) (log (/ (* (cbrt 1) (cbrt 1)) 1)) (log (/ (cbrt 1) (+ 1.0 eps))) (log (/ (sqrt 1) (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps))))) (log (/ (sqrt 1) (cbrt (+ 1.0 eps)))) (log (/ (sqrt 1) (sqrt (+ 1.0 eps)))) (log (/ (sqrt 1) (sqrt (+ 1.0 eps)))) (log (/ (sqrt 1) 1)) (log (/ (sqrt 1) (+ 1.0 eps))) (log (/ (sqrt 1) 1)) (log (/ (sqrt 1) (+ 1.0 eps))) (log (/ 1 (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps))))) (log (/ 1 (cbrt (+ 1.0 eps)))) (log (/ 1 (sqrt (+ 1.0 eps)))) (log (/ 1 (sqrt (+ 1.0 eps)))) (log (/ 1 1)) (log (/ 1 (+ 1.0 eps))) (log (/ 1 1)) (log (/ 1 (+ 1.0 eps))) (log 1) (log (/ 1 (+ 1.0 eps))) (log 1) (log (/ 1 (+ 1.0 eps))) (log (/ 1 (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))) (log (/ 1 (- (* 1.0 1.0) (* eps eps)))) (log (- 1.0 eps)) (log 1) (log (+ 1.0 eps)) (log (+ 1.0 eps)) (log (+ 1.0 eps)) (log (+ 1.0 eps)) (log (/ 1 (+ 1.0 eps))) (log (log (/ 1 (+ 1.0 eps)))) (exp (log (/ 1 (+ 1.0 eps)))) (* (cbrt (log (/ 1 (+ 1.0 eps)))) (cbrt (log (/ 1 (+ 1.0 eps))))) (cbrt (log (/ 1 (+ 1.0 eps)))) (* (* (log (/ 1 (+ 1.0 eps))) (log (/ 1 (+ 1.0 eps)))) (log (/ 1 (+ 1.0 eps)))) (sqrt (log (/ 1 (+ 1.0 eps)))) (sqrt (log (/ 1 (+ 1.0 eps)))) (expm1 (log (/ 1 (+ 1.0 eps)))) (log1p (log (/ 1 (+ 1.0 eps)))) (log (* (cbrt (/ 1 (+ 1.0 eps))) (cbrt (/ 1 (+ 1.0 eps))))) (log (cbrt (/ 1 (+ 1.0 eps)))) (log (sqrt (/ 1 (+ 1.0 eps)))) (log (sqrt (/ 1 (+ 1.0 eps)))) (log (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps))))) (log (/ (cbrt 1) (cbrt (+ 1.0 eps)))) (log (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ 1.0 eps)))) (log (/ (cbrt 1) (sqrt (+ 1.0 eps)))) (log (/ (* (cbrt 1) (cbrt 1)) 1)) (log (/ (cbrt 1) (+ 1.0 eps))) (log (/ (* (cbrt 1) (cbrt 1)) 1)) (log (/ (cbrt 1) (+ 1.0 eps))) (log (/ (sqrt 1) (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps))))) (log (/ (sqrt 1) (cbrt (+ 1.0 eps)))) (log (/ (sqrt 1) (sqrt (+ 1.0 eps)))) (log (/ (sqrt 1) (sqrt (+ 1.0 eps)))) (log (/ (sqrt 1) 1)) (log (/ (sqrt 1) (+ 1.0 eps))) (log (/ (sqrt 1) 1)) (log (/ (sqrt 1) (+ 1.0 eps))) (log (/ 1 (* (cbrt (+ 1.0 eps)) (cbrt (+ 1.0 eps))))) (log (/ 1 (cbrt (+ 1.0 eps)))) (log (/ 1 (sqrt (+ 1.0 eps)))) (log (/ 1 (sqrt (+ 1.0 eps)))) (log (/ 1 1)) (log (/ 1 (+ 1.0 eps))) (log (/ 1 1)) (log (/ 1 (+ 1.0 eps))) (log 1) (log (/ 1 (+ 1.0 eps))) (log 1) (log (/ 1 (+ 1.0 eps))) (log (/ 1 (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))) (log (/ 1 (- (* 1.0 1.0) (* eps eps)))) (log (- 1.0 eps)) (log 1) (log (+ 1.0 eps)) (log (+ 1.0 eps)) (log (+ 1.0 eps)) (log (+ 1.0 eps)) (log (/ 1 (+ 1.0 eps))) (log (log (/ 1 (+ 1.0 eps)))) (exp (log (/ 1 (+ 1.0 eps)))) (* (cbrt (log (/ 1 (+ 1.0 eps)))) (cbrt (log (/ 1 (+ 1.0 eps))))) (cbrt (log (/ 1 (+ 1.0 eps)))) (* (* (log (/ 1 (+ 1.0 eps))) (log (/ 1 (+ 1.0 eps)))) (log (/ 1 (+ 1.0 eps)))) (sqrt (log (/ 1 (+ 1.0 eps)))) (sqrt (log (/ 1 (+ 1.0 eps)))) (- (log 1.0) (+ (* 1/2 (/ (pow eps 2) (pow 1.0 2))) (* 1.0 eps))) (- (log -1) (+ (* 0.5 (/ 1 (pow eps 2))) (+ (log (/ 1 eps)) (* 1.0 (/ 1 eps))))) (- (+ (log (/ -1 eps)) (+ (* 0.5 (/ 1 (pow eps 2))) (* 1.0 (/ 1 eps))))) (- (+ (* 1.0 (pow eps 2)) (log 1.0)) (+ (* 0.5 (/ (pow eps 2) (pow 1.0 2))) (* 1.0 eps))) (- (+ (* 0.5 (/ 1 (pow eps 2))) (log (/ 1 eps))) (* 1.0 (/ 1 eps))) (- (+ (log -1) (+ (* 0.5 (/ 1 (pow eps 2))) (log (/ -1 eps)))) (* 1.0 (/ 1 eps))) (- (+ (* 1.0 (pow eps 2)) (log 1.0)) (+ (* 0.5 (/ (pow eps 2) (pow 1.0 2))) (* 1.0 eps))) (- (+ (* 0.5 (/ 1 (pow eps 2))) (log (/ 1 eps))) (* 1.0 (/ 1 eps))) (- (+ (log -1) (+ (* 0.5 (/ 1 (pow eps 2))) (log (/ -1 eps)))) (* 1.0 (/ 1 eps))) (- (+ (* 1.0 (pow eps 2)) (log 1.0)) (+ (* 0.5 (/ (pow eps 2) (pow 1.0 2))) (* 1.0 eps))) (- (+ (* 0.5 (/ 1 (pow eps 2))) (log (/ 1 eps))) (* 1.0 (/ 1 eps))) (- (+ (log -1) (+ (* 0.5 (/ 1 (pow eps 2))) (log (/ -1 eps)))) (* 1.0 (/ 1 eps))) 1.370 * [simplify]: Sending expressions to egg_math: (expm1 (log (- h0 h1))) (log1p (log (- h0 h1))) (log (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (log (cbrt (- h0 h1))) (log (sqrt (- h0 h1))) (log (sqrt (- h0 h1))) (log 1) (log (- h0 h1)) (log (+ (sqrt h0) (sqrt h1))) (log (- (sqrt h0) (sqrt h1))) (log 1) (log (- h0 h1)) (log (- (pow h0 3) (pow h1 3))) (log (+ (* h0 h0) (+ (* h1 h1) (* h0 h1)))) (log (- (* h0 h0) (* h1 h1))) (log (+ h0 h1)) (log (- h0 h1)) (log (log (- h0 h1))) (exp (log (- h0 h1))) (* (cbrt (log (- h0 h1))) (cbrt (log (- h0 h1)))) (cbrt (log (- h0 h1))) (* (* (log (- h0 h1)) (log (- h0 h1))) (log (- h0 h1))) (sqrt (log (- h0 h1))) (sqrt (log (- h0 h1))) (expm1 (log (/ 1 (+ h0 h1)))) (log1p (log (/ 1 (+ h0 h1)))) (log (* (cbrt (/ 1 (+ h0 h1))) (cbrt (/ 1 (+ h0 h1))))) (log (cbrt (/ 1 (+ h0 h1)))) (log (sqrt (/ 1 (+ h0 h1)))) (log (sqrt (/ 1 (+ h0 h1)))) (log (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (log (/ (cbrt 1) (cbrt (+ h0 h1)))) (log (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ h0 h1)))) (log (/ (cbrt 1) (sqrt (+ h0 h1)))) (log (/ (* (cbrt 1) (cbrt 1)) 1)) (log (/ (cbrt 1) (+ h0 h1))) (log (/ (* (cbrt 1) (cbrt 1)) 1)) (log (/ (cbrt 1) (+ h0 h1))) (log (/ (sqrt 1) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (log (/ (sqrt 1) (cbrt (+ h0 h1)))) (log (/ (sqrt 1) (sqrt (+ h0 h1)))) (log (/ (sqrt 1) (sqrt (+ h0 h1)))) (log (/ (sqrt 1) 1)) (log (/ (sqrt 1) (+ h0 h1))) (log (/ (sqrt 1) 1)) (log (/ (sqrt 1) (+ h0 h1))) (log (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (log (/ 1 (cbrt (+ h0 h1)))) (log (/ 1 (sqrt (+ h0 h1)))) (log (/ 1 (sqrt (+ h0 h1)))) (log (/ 1 1)) (log (/ 1 (+ h0 h1))) (log (/ 1 1)) (log (/ 1 (+ h0 h1))) (log 1) (log (/ 1 (+ h0 h1))) (log 1) (log (/ 1 (+ h0 h1))) (log (/ 1 (+ (pow h0 3) (pow h1 3)))) (log (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (log (/ 1 (- (* h0 h0) (* h1 h1)))) (log (- h0 h1)) (log 1) (log (+ h0 h1)) (log (+ h0 h1)) (log (+ h0 h1)) (log (+ h0 h1)) (log (/ 1 (+ h0 h1))) (log (log (/ 1 (+ h0 h1)))) (exp (log (/ 1 (+ h0 h1)))) (* (cbrt (log (/ 1 (+ h0 h1)))) (cbrt (log (/ 1 (+ h0 h1))))) (cbrt (log (/ 1 (+ h0 h1)))) (* (* (log (/ 1 (+ h0 h1))) (log (/ 1 (+ h0 h1)))) (log (/ 1 (+ h0 h1)))) (sqrt (log (/ 1 (+ h0 h1)))) (sqrt (log (/ 1 (+ h0 h1)))) (expm1 (log (/ 1 (+ h0 h1)))) (log1p (log (/ 1 (+ h0 h1)))) (log (* (cbrt (/ 1 (+ h0 h1))) (cbrt (/ 1 (+ h0 h1))))) (log (cbrt (/ 1 (+ h0 h1)))) (log (sqrt (/ 1 (+ h0 h1)))) (log (sqrt (/ 1 (+ h0 h1)))) (log (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (log (/ (cbrt 1) (cbrt (+ h0 h1)))) (log (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ h0 h1)))) (log (/ (cbrt 1) (sqrt (+ h0 h1)))) (log (/ (* (cbrt 1) (cbrt 1)) 1)) (log (/ (cbrt 1) (+ h0 h1))) (log (/ (* (cbrt 1) (cbrt 1)) 1)) (log (/ (cbrt 1) (+ h0 h1))) (log (/ (sqrt 1) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (log (/ (sqrt 1) (cbrt (+ h0 h1)))) (log (/ (sqrt 1) (sqrt (+ h0 h1)))) (log (/ (sqrt 1) (sqrt (+ h0 h1)))) (log (/ (sqrt 1) 1)) (log (/ (sqrt 1) (+ h0 h1))) (log (/ (sqrt 1) 1)) (log (/ (sqrt 1) (+ h0 h1))) (log (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (log (/ 1 (cbrt (+ h0 h1)))) (log (/ 1 (sqrt (+ h0 h1)))) (log (/ 1 (sqrt (+ h0 h1)))) (log (/ 1 1)) (log (/ 1 (+ h0 h1))) (log (/ 1 1)) (log (/ 1 (+ h0 h1))) (log 1) (log (/ 1 (+ h0 h1))) (log 1) (log (/ 1 (+ h0 h1))) (log (/ 1 (+ (pow h0 3) (pow h1 3)))) (log (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (log (/ 1 (- (* h0 h0) (* h1 h1)))) (log (- h0 h1)) (log 1) (log (+ h0 h1)) (log (+ h0 h1)) (log (+ h0 h1)) (log (+ h0 h1)) (log (/ 1 (+ h0 h1))) (log (log (/ 1 (+ h0 h1)))) (exp (log (/ 1 (+ h0 h1)))) (* (cbrt (log (/ 1 (+ h0 h1)))) (cbrt (log (/ 1 (+ h0 h1))))) (cbrt (log (/ 1 (+ h0 h1)))) (* (* (log (/ 1 (+ h0 h1))) (log (/ 1 (+ h0 h1)))) (log (/ 1 (+ h0 h1)))) (sqrt (log (/ 1 (+ h0 h1)))) (sqrt (log (/ 1 (+ h0 h1)))) (expm1 (log (/ 1 (+ h0 h1)))) (log1p (log (/ 1 (+ h0 h1)))) (log (* (cbrt (/ 1 (+ h0 h1))) (cbrt (/ 1 (+ h0 h1))))) (log (cbrt (/ 1 (+ h0 h1)))) (log (sqrt (/ 1 (+ h0 h1)))) (log (sqrt (/ 1 (+ h0 h1)))) (log (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (log (/ (cbrt 1) (cbrt (+ h0 h1)))) (log (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ h0 h1)))) (log (/ (cbrt 1) (sqrt (+ h0 h1)))) (log (/ (* (cbrt 1) (cbrt 1)) 1)) (log (/ (cbrt 1) (+ h0 h1))) (log (/ (* (cbrt 1) (cbrt 1)) 1)) (log (/ (cbrt 1) (+ h0 h1))) (log (/ (sqrt 1) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (log (/ (sqrt 1) (cbrt (+ h0 h1)))) (log (/ (sqrt 1) (sqrt (+ h0 h1)))) (log (/ (sqrt 1) (sqrt (+ h0 h1)))) (log (/ (sqrt 1) 1)) (log (/ (sqrt 1) (+ h0 h1))) (log (/ (sqrt 1) 1)) (log (/ (sqrt 1) (+ h0 h1))) (log (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (log (/ 1 (cbrt (+ h0 h1)))) (log (/ 1 (sqrt (+ h0 h1)))) (log (/ 1 (sqrt (+ h0 h1)))) (log (/ 1 1)) (log (/ 1 (+ h0 h1))) (log (/ 1 1)) (log (/ 1 (+ h0 h1))) (log 1) (log (/ 1 (+ h0 h1))) (log 1) (log (/ 1 (+ h0 h1))) (log (/ 1 (+ (pow h0 3) (pow h1 3)))) (log (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (log (/ 1 (- (* h0 h0) (* h1 h1)))) (log (- h0 h1)) (log 1) (log (+ h0 h1)) (log (+ h0 h1)) (log (+ h0 h1)) (log (+ h0 h1)) (log (/ 1 (+ h0 h1))) (log (log (/ 1 (+ h0 h1)))) (exp (log (/ 1 (+ h0 h1)))) (* (cbrt (log (/ 1 (+ h0 h1)))) (cbrt (log (/ 1 (+ h0 h1))))) (cbrt (log (/ 1 (+ h0 h1)))) (* (* (log (/ 1 (+ h0 h1))) (log (/ 1 (+ h0 h1)))) (log (/ 1 (+ h0 h1)))) (sqrt (log (/ 1 (+ h0 h1)))) (sqrt (log (/ 1 (+ h0 h1)))) (- (log h0) (+ (* 1/2 (/ (pow h1 2) (pow h0 2))) (* h0 h1))) (- (log -1) (+ (* h2 (/ 1 (pow h1 2))) (+ (log (/ 1 h1)) (* h0 (/ 1 h1))))) (- (+ (log (/ -1 h1)) (+ (* h2 (/ 1 (pow h1 2))) (* h0 (/ 1 h1))))) (- (+ (* h0 (pow h1 2)) (log h0)) (+ (* h2 (/ (pow h1 2) (pow h0 2))) (* h0 h1))) (- (+ (* h2 (/ 1 (pow h1 2))) (log (/ 1 h1))) (* h0 (/ 1 h1))) (- (+ (log -1) (+ (* h2 (/ 1 (pow h1 2))) (log (/ -1 h1)))) (* h0 (/ 1 h1))) (- (+ (* h0 (pow h1 2)) (log h0)) (+ (* h2 (/ (pow h1 2) (pow h0 2))) (* h0 h1))) (- (+ (* h2 (/ 1 (pow h1 2))) (log (/ 1 h1))) (* h0 (/ 1 h1))) (- (+ (log -1) (+ (* h2 (/ 1 (pow h1 2))) (log (/ -1 h1)))) (* h0 (/ 1 h1))) (- (+ (* h0 (pow h1 2)) (log h0)) (+ (* h2 (/ (pow h1 2) (pow h0 2))) (* h0 h1))) (- (+ (* h2 (/ 1 (pow h1 2))) (log (/ 1 h1))) (* h0 (/ 1 h1))) (- (+ (log -1) (+ (* h2 (/ 1 (pow h1 2))) (log (/ -1 h1)))) (* h0 (/ 1 h1))) 1.375 * * [simplify]: iteration 0 : 292 enodes (cost 824 ) 1.380 * * [simplify]: iteration 1 : 815 enodes (cost 759 ) 1.395 * * [simplify]: iteration 2 : 3127 enodes (cost 699 ) 1.457 * * [simplify]: iteration 3 : 5002 enodes (cost 654 ) 1.461 * [simplify]: Simplified to: (expm1 (log (- 1.0 eps))) (log1p (log (- 1.0 eps))) (* 2 (log (cbrt (- 1.0 eps)))) (log (cbrt (- 1.0 eps))) (log (sqrt (- 1.0 eps))) (log (sqrt (- 1.0 eps))) 0 (log (- 1.0 eps)) (log (+ (sqrt 1.0) (sqrt eps))) (log (- (sqrt 1.0) (sqrt eps))) 0 (log (- 1.0 eps)) (log (- (pow 1.0 3) (pow eps 3))) (log (+ (* 1.0 1.0) (+ (* eps eps) (* 1.0 eps)))) (log (- (* 1.0 1.0) (* eps eps))) (log (+ 1.0 eps)) (log (- 1.0 eps)) (log (log (- 1.0 eps))) (- 1.0 eps) (* (cbrt (log (- 1.0 eps))) (cbrt (log (- 1.0 eps)))) (cbrt (log (- 1.0 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(log (/ 1 (cbrt (+ 1.0 eps)))) (log (/ 1 (sqrt (+ 1.0 eps)))) (log (/ 1 (sqrt (+ 1.0 eps)))) 0 (log (/ 1 (+ 1.0 eps))) 0 (log (/ 1 (+ 1.0 eps))) 0 (log (/ 1 (+ 1.0 eps))) 0 (log (/ 1 (+ 1.0 eps))) (log (/ 1 (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))) (log (/ 1 (- (* 1.0 1.0) (* eps eps)))) (log (- 1.0 eps)) 0 (log (+ 1.0 eps)) (log (+ 1.0 eps)) (log (+ 1.0 eps)) (log (+ 1.0 eps)) (log (/ 1 (+ 1.0 eps))) (log (log (/ 1 (+ 1.0 eps)))) (/ 1 (+ 1.0 eps)) (* (cbrt (log (/ 1 (+ 1.0 eps)))) (cbrt (log (/ 1 (+ 1.0 eps))))) (cbrt (log (/ 1 (+ 1.0 eps)))) (pow (log (/ 1 (+ 1.0 eps))) 3) (sqrt (log (/ 1 (+ 1.0 eps)))) (sqrt (log (/ 1 (+ 1.0 eps)))) (expm1 (log (/ 1 (+ 1.0 eps)))) (log1p (log (/ 1 (+ 1.0 eps)))) (* 2 (log (cbrt (/ 1 (+ 1.0 eps))))) (log (cbrt (/ 1 (+ 1.0 eps)))) (log (sqrt (/ 1 (+ 1.0 eps)))) (log (sqrt (/ 1 (+ 1.0 eps)))) (* 2 (log (/ (cbrt 1) (cbrt (+ 1.0 eps))))) (log (/ 1 (cbrt (+ 1.0 eps)))) (log (/ 1 (sqrt (+ 1.0 eps)))) (log (/ 1 (sqrt (+ 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1/2 (/ (pow eps 2) (pow 1.0 2))) (* 1.0 eps))) (+ (- (log -1) (fma 0.5 (/ 1 (pow eps 2)) (/ 1.0 eps))) (log eps)) (- (- (- (log (/ -1 eps))) (/ (/ 0.5 eps) eps)) (/ 1.0 eps)) (fma (pow eps 2) 1.0 (- (log 1.0) (fma 0.5 (/ (pow eps 2) (pow 1.0 2)) (* 1.0 eps)))) (fma (/ 1 eps) (- (/ 0.5 eps) 1.0) (log (/ 1 eps))) (fma (/ 1 eps) (- (/ 0.5 eps) 1.0) (+ (log -1) (log (/ -1 eps)))) (fma (pow eps 2) 1.0 (- (log 1.0) (fma 0.5 (/ (pow eps 2) (pow 1.0 2)) (* 1.0 eps)))) (fma (/ 1 eps) (- (/ 0.5 eps) 1.0) (log (/ 1 eps))) (fma (/ 1 eps) (- (/ 0.5 eps) 1.0) (+ (log -1) (log (/ -1 eps)))) (fma (pow eps 2) 1.0 (- (log 1.0) (fma 0.5 (/ (pow eps 2) (pow 1.0 2)) (* 1.0 eps)))) (fma (/ 1 eps) (- (/ 0.5 eps) 1.0) (log (/ 1 eps))) (fma (/ 1 eps) (- (/ 0.5 eps) 1.0) (+ (log -1) (log (/ -1 eps)))) 1.462 * * * [progress]: adding candidates to table 1.740 * [progress]: [Phase 3 of 3] Extracting. 1.740 * * [regime]: Finding splitpoints for: (# # #) 1.740 * * * [regime-changes]: Trying 1 branch expressions: (eps) 1.740 * * * * [regimes]: Trying to branch on eps from (# # #) 1.757 * * * [regime]: Found split indices: #