7.419 * [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 # : (* x (log x)) 0.018 * [simplify]: Sending expressions to egg_math: (* h0 (log h0)) 0.020 * * [simplify]: iteration 0 : 4 enodes (cost 2 ) 0.021 * * [simplify]: iteration 1 : 4 enodes (cost 2 ) 0.021 * [simplify]: Simplified to: (* x (log x)) 0.021 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.026 * * * [progress]: generating rewritten candidates 0.026 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.036 * * * [progress]: generating series expansions 0.036 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.036 * [approximate]: Taking taylor expansion of (* (log x) x) in (x) around 0 0.036 * [taylor]: Taking taylor expansion of (* (log x) x) in x 0.036 * [taylor]: Taking taylor expansion of (log x) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of (* (log x) x) in x 0.037 * [taylor]: Taking taylor expansion of (log x) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.101 * [approximate]: Taking taylor expansion of (/ (log (/ 1 x)) x) in (x) around 0 0.101 * [taylor]: Taking taylor expansion of (/ (log (/ 1 x)) x) in x 0.101 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of (/ (log (/ 1 x)) x) in x 0.102 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.146 * [approximate]: Taking taylor expansion of (* -1 (/ (log (/ -1 x)) x)) in (x) around 0 0.146 * [taylor]: Taking taylor expansion of (* -1 (/ (log (/ -1 x)) x)) in x 0.146 * [taylor]: Taking taylor expansion of -1 in x 0.146 * [taylor]: Taking taylor expansion of (/ (log (/ -1 x)) x) in x 0.146 * [taylor]: Taking taylor expansion of (log (/ -1 x)) in x 0.146 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.146 * [taylor]: Taking taylor expansion of -1 in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.148 * [taylor]: Taking taylor expansion of (* -1 (/ (log (/ -1 x)) x)) in x 0.148 * [taylor]: Taking taylor expansion of -1 in x 0.148 * [taylor]: Taking taylor expansion of (/ (log (/ -1 x)) x) in x 0.148 * [taylor]: Taking taylor expansion of (log (/ -1 x)) in x 0.148 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.148 * [taylor]: Taking taylor expansion of -1 in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.201 * * * [progress]: simplifying candidates 0.202 * [simplify]: Simplifying using # : (expm1 (* x (log x))) (log1p (* x (log x))) (* x (log x)) (+ (log x) (log (log x))) (log (* x (log x))) (exp (* x (log x))) (* (* (* x x) x) (* (* (log x) (log x)) (log x))) (* (cbrt (* x (log x))) (cbrt (* x (log x)))) (cbrt (* x (log x))) (* (* (* x (log x)) (* x (log x))) (* x (log x))) (sqrt (* x (log x))) (sqrt (* x (log x))) (* (sqrt x) (sqrt (log x))) (* (sqrt x) (sqrt (log x))) (* x (log (* (cbrt x) (cbrt x)))) (* x (log (cbrt x))) (* x (log (sqrt x))) (* x (log (sqrt x))) (* x (log 1)) (* x (log x)) (* (log (* (cbrt x) (cbrt x))) x) (* (log (cbrt x)) x) (* (log (sqrt x)) x) (* (log (sqrt x)) x) (* (log 1) x) (* (log x) x) (* x 1) (* x (* (cbrt (log x)) (cbrt (log x)))) (* x (sqrt (log x))) (* x 1) (* (cbrt x) (log x)) (* (sqrt x) (log x)) (* x (log x)) (* (log x) x) (* -1 (* x (log (/ 1 x)))) (* x (- (log -1) (log (/ -1 x)))) 0.202 * [simplify]: Sending expressions to egg_math: (expm1 (* h0 (log h0))) (log1p (* h0 (log h0))) (* h0 (log h0)) (+ (log h0) (log (log h0))) (log (* h0 (log h0))) (exp (* h0 (log h0))) (* (* (* h0 h0) h0) (* (* (log h0) (log h0)) (log h0))) (* (cbrt (* h0 (log h0))) (cbrt (* h0 (log h0)))) (cbrt (* h0 (log h0))) (* (* (* h0 (log h0)) (* h0 (log h0))) (* h0 (log h0))) (sqrt (* h0 (log h0))) (sqrt (* h0 (log h0))) (* (sqrt h0) (sqrt (log h0))) (* (sqrt h0) (sqrt (log h0))) (* h0 (log (* (cbrt h0) (cbrt h0)))) (* h0 (log (cbrt h0))) (* h0 (log (sqrt h0))) (* h0 (log (sqrt h0))) (* h0 (log 1)) (* h0 (log h0)) (* (log (* (cbrt h0) (cbrt h0))) h0) (* (log (cbrt h0)) h0) (* (log (sqrt h0)) h0) (* (log (sqrt h0)) h0) (* (log 1) h0) (* (log h0) h0) (* h0 1) (* h0 (* (cbrt (log h0)) (cbrt (log h0)))) (* h0 (sqrt (log h0))) (* h0 1) (* (cbrt h0) (log h0)) (* (sqrt h0) (log h0)) (* h0 (log h0)) (* (log h0) h0) (* -1 (* h0 (log (/ 1 h0)))) (* h0 (- (log -1) (log (/ -1 h0)))) 0.204 * * [simplify]: iteration 0 : 95 enodes (cost 121 ) 0.207 * * [simplify]: iteration 1 : 348 enodes (cost 105 ) 0.213 * * [simplify]: iteration 2 : 1040 enodes (cost 98 ) 0.236 * * [simplify]: iteration 3 : 4535 enodes (cost 98 ) 0.392 * * [simplify]: iteration 4 : 5001 enodes (cost 98 ) 0.393 * [simplify]: Simplified to: (expm1 (* x (log x))) (log1p (* x (log x))) (* x (log x)) (log (* x (log x))) (log (* x (log x))) (pow x x) (pow (* x (log x)) 3) (* (cbrt (* x (log x))) (cbrt (* x (log x)))) (cbrt (* x (log x))) (pow (* x (log x)) 3) (sqrt (* x (log x))) (sqrt (* x (log x))) (* (sqrt x) (sqrt (log x))) (* (sqrt x) (sqrt (log x))) (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))) (* x (log (sqrt x))) (* x (log (sqrt x))) 0 (* x (log x)) (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))) (* x (log (sqrt x))) (* x (log (sqrt x))) 0 (* x (log x)) x (* x (* (cbrt (log x)) (cbrt (log x)))) (* x (sqrt (log x))) x (* (cbrt x) (log x)) (* (sqrt x) (log x)) (* x (log x)) (* x (log x)) (* x (log x)) (* x (log x)) 0.393 * * * [progress]: adding candidates to table 0.428 * * [progress]: iteration 2 / 4 0.428 * * * [progress]: picking best candidate 0.440 * * * * [pick]: Picked # 0.440 * * * [progress]: localizing error 0.449 * * * [progress]: generating rewritten candidates 0.449 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 0.450 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1) 0.451 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.477 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.492 * * * [progress]: generating series expansions 0.492 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 0.492 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.492 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.492 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.492 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.492 * [taylor]: Taking taylor expansion of 1/3 in x 0.492 * [taylor]: Taking taylor expansion of (log x) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.493 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.493 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.493 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.493 * [taylor]: Taking taylor expansion of 1/3 in x 0.493 * [taylor]: Taking taylor expansion of (log x) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.542 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.542 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.542 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.542 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.542 * [taylor]: Taking taylor expansion of 1/3 in x 0.542 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.542 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.543 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.543 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.543 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.543 * [taylor]: Taking taylor expansion of 1/3 in x 0.543 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.543 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.593 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.593 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.593 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.593 * [taylor]: Taking taylor expansion of -1 in x 0.594 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.594 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.594 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.594 * [taylor]: Taking taylor expansion of 1/3 in x 0.594 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.594 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.594 * [taylor]: Taking taylor expansion of x in x 0.595 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.595 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.595 * [taylor]: Taking taylor expansion of -1 in x 0.596 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.596 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.596 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.596 * [taylor]: Taking taylor expansion of 1/3 in x 0.596 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.596 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.596 * [taylor]: Taking taylor expansion of x in x 0.657 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1) 0.657 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.657 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.657 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.657 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.657 * [taylor]: Taking taylor expansion of 1/3 in x 0.657 * [taylor]: Taking taylor expansion of (log x) in x 0.657 * [taylor]: Taking taylor expansion of x in x 0.658 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.658 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.658 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.658 * [taylor]: Taking taylor expansion of 1/3 in x 0.658 * [taylor]: Taking taylor expansion of (log x) in x 0.658 * [taylor]: Taking taylor expansion of x in x 0.704 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.704 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.704 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.704 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.704 * [taylor]: Taking taylor expansion of 1/3 in x 0.704 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.704 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.705 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.705 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.705 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.705 * [taylor]: Taking taylor expansion of 1/3 in x 0.705 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.705 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.705 * [taylor]: Taking taylor expansion of x in x 0.756 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.756 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.757 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.757 * [taylor]: Taking taylor expansion of -1 in x 0.757 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.757 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.757 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.757 * [taylor]: Taking taylor expansion of 1/3 in x 0.757 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.757 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.758 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.758 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.758 * [taylor]: Taking taylor expansion of -1 in x 0.759 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.759 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.759 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.759 * [taylor]: Taking taylor expansion of 1/3 in x 0.759 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.759 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.759 * [taylor]: Taking taylor expansion of x in x 0.819 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.819 * [approximate]: Taking taylor expansion of (* 3 (* x (log (pow x 1/3)))) in (x) around 0 0.819 * [taylor]: Taking taylor expansion of (* 3 (* x (log (pow x 1/3)))) in x 0.819 * [taylor]: Taking taylor expansion of 3 in x 0.819 * [taylor]: Taking taylor expansion of (* x (log (pow x 1/3))) in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.819 * [taylor]: Taking taylor expansion of (log (pow x 1/3)) in x 0.819 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.819 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.819 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.819 * [taylor]: Taking taylor expansion of 1/3 in x 0.819 * [taylor]: Taking taylor expansion of (log x) in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.820 * [taylor]: Taking taylor expansion of (* 3 (* x (log (pow x 1/3)))) in x 0.820 * [taylor]: Taking taylor expansion of 3 in x 0.820 * [taylor]: Taking taylor expansion of (* x (log (pow x 1/3))) in x 0.820 * [taylor]: Taking taylor expansion of x in x 0.820 * [taylor]: Taking taylor expansion of (log (pow x 1/3)) in x 0.820 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.820 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.820 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.820 * [taylor]: Taking taylor expansion of 1/3 in x 0.820 * [taylor]: Taking taylor expansion of (log x) in x 0.820 * [taylor]: Taking taylor expansion of x in x 0.936 * [approximate]: Taking taylor expansion of (* 3 (/ (log (pow (/ 1 x) 1/3)) x)) in (x) around 0 0.936 * [taylor]: Taking taylor expansion of (* 3 (/ (log (pow (/ 1 x) 1/3)) x)) in x 0.936 * [taylor]: Taking taylor expansion of 3 in x 0.936 * [taylor]: Taking taylor expansion of (/ (log (pow (/ 1 x) 1/3)) x) in x 0.936 * [taylor]: Taking taylor expansion of (log (pow (/ 1 x) 1/3)) in x 0.936 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.936 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.936 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.936 * [taylor]: Taking taylor expansion of 1/3 in x 0.936 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.936 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.936 * [taylor]: Taking taylor expansion of x in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.937 * [taylor]: Taking taylor expansion of (* 3 (/ (log (pow (/ 1 x) 1/3)) x)) in x 0.937 * [taylor]: Taking taylor expansion of 3 in x 0.937 * [taylor]: Taking taylor expansion of (/ (log (pow (/ 1 x) 1/3)) x) in x 0.937 * [taylor]: Taking taylor expansion of (log (pow (/ 1 x) 1/3)) in x 0.937 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.937 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.937 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.937 * [taylor]: Taking taylor expansion of 1/3 in x 0.937 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.937 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.938 * [taylor]: Taking taylor expansion of x in x 1.025 * [approximate]: Taking taylor expansion of (- (* 3 (/ (log (* (cbrt -1) (pow (/ 1 x) 1/3))) x))) in (x) around 0 1.025 * [taylor]: Taking taylor expansion of (- (* 3 (/ (log (* (cbrt -1) (pow (/ 1 x) 1/3))) x))) in x 1.025 * [taylor]: Taking taylor expansion of (* 3 (/ (log (* (cbrt -1) (pow (/ 1 x) 1/3))) x)) in x 1.025 * [taylor]: Taking taylor expansion of 3 in x 1.025 * [taylor]: Taking taylor expansion of (/ (log (* (cbrt -1) (pow (/ 1 x) 1/3))) x) in x 1.025 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (/ 1 x) 1/3))) in x 1.025 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.025 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.025 * [taylor]: Taking taylor expansion of -1 in x 1.026 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.026 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.026 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.026 * [taylor]: Taking taylor expansion of 1/3 in x 1.026 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.026 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.026 * [taylor]: Taking taylor expansion of x in x 1.028 * [taylor]: Taking taylor expansion of x in x 1.028 * [taylor]: Taking taylor expansion of (- (* 3 (/ (log (* (cbrt -1) (pow (/ 1 x) 1/3))) x))) in x 1.028 * [taylor]: Taking taylor expansion of (* 3 (/ (log (* (cbrt -1) (pow (/ 1 x) 1/3))) x)) in x 1.028 * [taylor]: Taking taylor expansion of 3 in x 1.028 * [taylor]: Taking taylor expansion of (/ (log (* (cbrt -1) (pow (/ 1 x) 1/3))) x) in x 1.028 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (/ 1 x) 1/3))) in x 1.028 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.028 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.028 * [taylor]: Taking taylor expansion of -1 in x 1.029 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.029 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.029 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.029 * [taylor]: Taking taylor expansion of 1/3 in x 1.029 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.029 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.029 * [taylor]: Taking taylor expansion of x in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.135 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.135 * [approximate]: Taking taylor expansion of (* x (log (pow x 1/3))) in (x) around 0 1.135 * [taylor]: Taking taylor expansion of (* x (log (pow x 1/3))) in x 1.135 * [taylor]: Taking taylor expansion of x in x 1.135 * [taylor]: Taking taylor expansion of (log (pow x 1/3)) in x 1.135 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.135 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.135 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.135 * [taylor]: Taking taylor expansion of 1/3 in x 1.135 * [taylor]: Taking taylor expansion of (log x) in x 1.135 * [taylor]: Taking taylor expansion of x in x 1.136 * [taylor]: Taking taylor expansion of (* x (log (pow x 1/3))) in x 1.136 * [taylor]: Taking taylor expansion of x in x 1.136 * [taylor]: Taking taylor expansion of (log (pow x 1/3)) in x 1.136 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.136 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.136 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.136 * [taylor]: Taking taylor expansion of 1/3 in x 1.136 * [taylor]: Taking taylor expansion of (log x) in x 1.136 * [taylor]: Taking taylor expansion of x in x 1.247 * [approximate]: Taking taylor expansion of (/ (log (pow (/ 1 x) 1/3)) x) in (x) around 0 1.247 * [taylor]: Taking taylor expansion of (/ (log (pow (/ 1 x) 1/3)) x) in x 1.247 * [taylor]: Taking taylor expansion of (log (pow (/ 1 x) 1/3)) in x 1.247 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.247 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.247 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.247 * [taylor]: Taking taylor expansion of 1/3 in x 1.247 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.247 * [taylor]: Taking taylor expansion of x in x 1.248 * [taylor]: Taking taylor expansion of x in x 1.248 * [taylor]: Taking taylor expansion of (/ (log (pow (/ 1 x) 1/3)) x) in x 1.248 * [taylor]: Taking taylor expansion of (log (pow (/ 1 x) 1/3)) in x 1.248 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.248 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.248 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.248 * [taylor]: Taking taylor expansion of 1/3 in x 1.248 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.248 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.248 * [taylor]: Taking taylor expansion of x in x 1.249 * [taylor]: Taking taylor expansion of x in x 1.326 * [approximate]: Taking taylor expansion of (* -1 (/ (log (* (cbrt -1) (pow (/ 1 x) 1/3))) x)) in (x) around 0 1.326 * [taylor]: Taking taylor expansion of (* -1 (/ (log (* (cbrt -1) (pow (/ 1 x) 1/3))) x)) in x 1.326 * [taylor]: Taking taylor expansion of -1 in x 1.326 * [taylor]: Taking taylor expansion of (/ (log (* (cbrt -1) (pow (/ 1 x) 1/3))) x) in x 1.326 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (/ 1 x) 1/3))) in x 1.326 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.326 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.326 * [taylor]: Taking taylor expansion of -1 in x 1.327 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.327 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.327 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.327 * [taylor]: Taking taylor expansion of 1/3 in x 1.327 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.327 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.327 * [taylor]: Taking taylor expansion of x in x 1.328 * [taylor]: Taking taylor expansion of x in x 1.329 * [taylor]: Taking taylor expansion of (* -1 (/ (log (* (cbrt -1) (pow (/ 1 x) 1/3))) x)) in x 1.329 * [taylor]: Taking taylor expansion of -1 in x 1.329 * [taylor]: Taking taylor expansion of (/ (log (* (cbrt -1) (pow (/ 1 x) 1/3))) x) in x 1.329 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (/ 1 x) 1/3))) in x 1.329 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.329 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.329 * [taylor]: Taking taylor expansion of -1 in x 1.329 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.329 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.329 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.329 * [taylor]: Taking taylor expansion of 1/3 in x 1.329 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.329 * [taylor]: Taking taylor expansion of x in x 1.331 * [taylor]: Taking taylor expansion of x in x 1.438 * * * [progress]: simplifying candidates 1.440 * [simplify]: Simplifying using # : (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))) (log1p (+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))) (* (exp (* x (* 2 (log (cbrt x))))) (exp (* x (log (cbrt x))))) (log (+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))) (exp (+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))) (* (cbrt (+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))) (cbrt (+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x)))))) (cbrt (+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))) (* (* (+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x)))) (+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))) (+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))) (sqrt (+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))) (sqrt (+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))) (+ (pow (* x (* 2 (log (cbrt x)))) 3) (pow (* x (log (cbrt x))) 3)) (+ (* (* x (* 2 (log (cbrt x)))) (* x (* 2 (log (cbrt x))))) (- (* (* x (log (cbrt x))) (* x (log (cbrt x)))) (* (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x)))))) (- (* (* x (* 2 (log (cbrt x)))) (* x (* 2 (log (cbrt x))))) (* (* x (log (cbrt x))) (* x (log (cbrt x))))) (- (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x)))) (+ (* 2 (log (cbrt x))) (log (cbrt x))) (+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt (* (cbrt x) (cbrt x)))))) (+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt (sqrt x))))) (+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt 1)))) (+ (* x (* 2 (log (cbrt x)))) (* x (log (* (cbrt (cbrt x)) (cbrt (cbrt x)))))) (+ (* x (* 2 (log (cbrt x)))) (* x (log (sqrt (cbrt x))))) (+ (* x (* 2 (log (cbrt x)))) (* x (log 1))) (+ (* x (* 2 (log (cbrt x)))) (* (log (cbrt (* (cbrt x) (cbrt x)))) x)) (+ (* x (* 2 (log (cbrt x)))) (* (log (cbrt (sqrt x))) x)) (+ (* x (* 2 (log (cbrt x)))) (* (log (cbrt 1)) x)) (+ (* x (* 2 (log (cbrt x)))) (* (log (* (cbrt (cbrt x)) (cbrt (cbrt x)))) x)) (+ (* x (* 2 (log (cbrt x)))) (* (log (sqrt (cbrt x))) x)) (+ (* x (* 2 (log (cbrt x)))) (* (log 1) x)) (+ (* x (* 2 (log (cbrt (cbrt x))))) (* x (log (cbrt x)))) (+ (* x (* 2 (log (cbrt (sqrt x))))) (* x (log (cbrt x)))) (+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x)))) (+ (* x (* 2 (log (cbrt (cbrt x))))) (* x (log (cbrt x)))) (+ (* x (* 2 (log (sqrt (cbrt x))))) (* x (log (cbrt x)))) (+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x)))) (+ (* x (* (log (cbrt (cbrt x))) 2)) (* x (log (cbrt x)))) (+ (* x (* (log (cbrt (sqrt x))) 2)) (* x (log (cbrt x)))) (+ (* x (* (log (cbrt x)) 2)) (* x (log (cbrt x)))) (+ (* x (* (log (cbrt (cbrt x))) 2)) (* x (log (cbrt x)))) (+ (* x (* (log (sqrt (cbrt x))) 2)) (* x (log (cbrt x)))) (+ (* x (* (log (cbrt x)) 2)) (* x (log (cbrt x)))) (+ (* (* 2 (log (cbrt (cbrt x)))) x) (* x (log (cbrt x)))) (+ (* (* 2 (log (cbrt (sqrt x)))) x) (* x (log (cbrt x)))) (+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x)))) (+ (* (* 2 (log (cbrt (cbrt x)))) x) (* x (log (cbrt x)))) (+ (* (* 2 (log (sqrt (cbrt x)))) x) (* x (log (cbrt x)))) (+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x)))) (+ (* (* (log (cbrt (cbrt x))) 2) x) (* x (log (cbrt x)))) (+ (* (* (log (cbrt (sqrt x))) 2) x) (* x (log (cbrt x)))) (+ (* (* (log (cbrt x)) 2) x) (* x (log (cbrt x)))) (+ (* (* (log (cbrt (cbrt x))) 2) x) (* x (log (cbrt x)))) (+ (* (* (log (sqrt (cbrt x))) 2) x) (* x (log (cbrt x)))) (+ (* (* (log (cbrt x)) 2) x) (* x (log (cbrt x)))) (expm1 (* x (log (cbrt x)))) (log1p (* x (log (cbrt x)))) (* x (log (cbrt x))) (+ (log x) (log (log (cbrt x)))) (log (* x (log (cbrt x)))) (exp (* x (log (cbrt x)))) (* (* (* x x) x) (* (* (log (cbrt x)) (log (cbrt x))) (log (cbrt x)))) (* (cbrt (* x (log (cbrt x)))) (cbrt (* x (log (cbrt x))))) (cbrt (* x (log (cbrt x)))) (* (* (* x (log (cbrt x))) (* x (log (cbrt x)))) (* x (log (cbrt x)))) (sqrt (* x (log (cbrt x)))) (sqrt (* x (log (cbrt x)))) (* (sqrt x) (sqrt (log (cbrt x)))) (* (sqrt x) (sqrt (log (cbrt x)))) (* x (log (cbrt (* (cbrt x) (cbrt x))))) (* x (log (cbrt (cbrt x)))) (* x (log (cbrt (sqrt x)))) (* x (log (cbrt (sqrt x)))) (* x (log (cbrt 1))) (* x (log (cbrt x))) (* x (log (* (cbrt (cbrt x)) (cbrt (cbrt x))))) (* x (log (cbrt (cbrt x)))) (* x (log (sqrt (cbrt x)))) (* x (log (sqrt (cbrt x)))) (* x (log 1)) (* x (log (cbrt x))) (* (log (cbrt (* (cbrt x) (cbrt x)))) x) (* (log (cbrt (cbrt x))) x) (* (log (cbrt (sqrt x))) x) (* (log (cbrt (sqrt x))) x) (* (log (cbrt 1)) x) (* (log (cbrt x)) x) (* (log (* (cbrt (cbrt x)) (cbrt (cbrt x)))) x) (* (log (cbrt (cbrt x))) x) (* (log (sqrt (cbrt x))) x) (* (log (sqrt (cbrt x))) x) (* (log 1) x) (* (log (cbrt x)) x) (* x 1/3) (* x 1) (* x (* (cbrt (log (cbrt x))) (cbrt (log (cbrt x))))) (* x (sqrt (log (cbrt x)))) (* x 1) (* (cbrt x) (log (cbrt x))) (* (sqrt x) (log (cbrt x))) (* x (log (cbrt x))) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (* 3 (* x (log (pow x 1/3)))) (* 3 (* (log (pow (/ 1 x) -1/3)) x)) (* 3 (* x (log (* (pow (* -1 x) 1/3) (cbrt -1))))) (* x (log (pow x 1/3))) (* (log (pow (/ 1 x) -1/3)) x) (* x (log (* (pow (* -1 x) 1/3) (cbrt -1)))) 1.440 * [simplify]: Sending expressions to egg_math: (expm1 (cbrt h0)) (log1p (cbrt h0)) (log (cbrt h0)) (exp (cbrt h0)) (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (cbrt h0)) (cbrt (sqrt h0)) (cbrt (sqrt h0)) (cbrt 1) (cbrt h0) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (cbrt (cbrt h0)) (* (* (cbrt h0) (cbrt h0)) (cbrt h0)) (sqrt (cbrt h0)) (sqrt (cbrt h0)) (expm1 (cbrt h0)) (log1p (cbrt h0)) (log (cbrt h0)) (exp (cbrt h0)) (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (cbrt h0)) (cbrt (sqrt h0)) (cbrt (sqrt h0)) (cbrt 1) (cbrt h0) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (cbrt (cbrt h0)) (* (* (cbrt h0) (cbrt h0)) (cbrt h0)) (sqrt (cbrt h0)) (sqrt (cbrt h0)) (expm1 (+ (* h0 (* 2 (log (cbrt h0)))) (* h0 (log (cbrt h0))))) (log1p (+ (* h0 (* 2 (log (cbrt h0)))) (* h0 (log (cbrt h0))))) (* (exp (* h0 (* 2 (log (cbrt h0))))) (exp (* h0 (log (cbrt h0))))) (log (+ (* h0 (* 2 (log (cbrt h0)))) (* h0 (log (cbrt h0))))) (exp (+ (* h0 (* 2 (log (cbrt h0)))) (* h0 (log (cbrt h0))))) (* (cbrt (+ (* h0 (* 2 (log (cbrt h0)))) (* h0 (log (cbrt h0))))) (cbrt (+ (* h0 (* 2 (log (cbrt h0)))) (* h0 (log (cbrt h0)))))) (cbrt (+ (* h0 (* 2 (log (cbrt h0)))) (* h0 (log (cbrt h0))))) (* (* (+ (* h0 (* 2 (log (cbrt h0)))) (* h0 (log (cbrt h0)))) (+ (* h0 (* 2 (log (cbrt h0)))) (* h0 (log (cbrt h0))))) (+ (* h0 (* 2 (log (cbrt h0)))) (* h0 (log (cbrt h0))))) (sqrt (+ (* h0 (* 2 (log (cbrt h0)))) (* h0 (log (cbrt h0))))) (sqrt (+ (* h0 (* 2 (log (cbrt h0)))) (* h0 (log (cbrt h0))))) (+ (pow (* h0 (* 2 (log (cbrt h0)))) 3) (pow (* h0 (log (cbrt h0))) 3)) (+ (* (* h0 (* 2 (log (cbrt h0)))) (* h0 (* 2 (log (cbrt h0))))) (- (* (* h0 (log (cbrt h0))) (* h0 (log (cbrt h0)))) (* (* h0 (* 2 (log (cbrt h0)))) (* h0 (log (cbrt h0)))))) (- (* (* h0 (* 2 (log (cbrt h0)))) (* h0 (* 2 (log (cbrt h0))))) (* (* h0 (log (cbrt h0))) (* h0 (log (cbrt h0))))) (- (* h0 (* 2 (log (cbrt h0)))) (* h0 (log (cbrt h0)))) (+ (* 2 (log (cbrt h0))) (log (cbrt h0))) (+ (* h0 (* 2 (log (cbrt h0)))) (* h0 (log (cbrt (* (cbrt h0) (cbrt h0)))))) (+ (* h0 (* 2 (log (cbrt h0)))) (* h0 (log (cbrt (sqrt h0))))) (+ (* h0 (* 2 (log (cbrt h0)))) (* h0 (log (cbrt 1)))) (+ (* h0 (* 2 (log (cbrt h0)))) (* h0 (log (* (cbrt (cbrt h0)) (cbrt (cbrt h0)))))) (+ (* h0 (* 2 (log (cbrt h0)))) (* h0 (log (sqrt (cbrt h0))))) (+ (* h0 (* 2 (log (cbrt h0)))) (* h0 (log 1))) (+ (* h0 (* 2 (log (cbrt h0)))) (* (log (cbrt (* (cbrt h0) (cbrt h0)))) h0)) (+ (* h0 (* 2 (log (cbrt h0)))) (* (log (cbrt (sqrt h0))) h0)) (+ (* h0 (* 2 (log (cbrt h0)))) (* (log (cbrt 1)) h0)) (+ (* h0 (* 2 (log (cbrt h0)))) (* (log (* (cbrt (cbrt h0)) (cbrt (cbrt h0)))) h0)) (+ (* h0 (* 2 (log (cbrt h0)))) (* (log (sqrt (cbrt h0))) h0)) (+ (* h0 (* 2 (log (cbrt h0)))) (* (log 1) h0)) (+ (* h0 (* 2 (log (cbrt (cbrt h0))))) (* h0 (log (cbrt h0)))) (+ (* h0 (* 2 (log (cbrt (sqrt h0))))) (* h0 (log (cbrt h0)))) (+ (* h0 (* 2 (log (cbrt h0)))) (* h0 (log (cbrt h0)))) (+ (* h0 (* 2 (log (cbrt (cbrt h0))))) (* h0 (log (cbrt h0)))) (+ (* h0 (* 2 (log (sqrt (cbrt h0))))) (* h0 (log (cbrt h0)))) (+ (* h0 (* 2 (log (cbrt h0)))) (* h0 (log (cbrt h0)))) (+ (* h0 (* (log (cbrt (cbrt h0))) 2)) (* h0 (log (cbrt h0)))) (+ (* h0 (* (log (cbrt (sqrt h0))) 2)) (* h0 (log (cbrt h0)))) (+ (* h0 (* (log (cbrt h0)) 2)) (* h0 (log (cbrt h0)))) (+ (* h0 (* (log (cbrt (cbrt h0))) 2)) (* h0 (log (cbrt h0)))) (+ (* h0 (* (log (sqrt (cbrt h0))) 2)) (* h0 (log (cbrt h0)))) (+ (* h0 (* (log (cbrt h0)) 2)) (* h0 (log (cbrt h0)))) (+ (* (* 2 (log (cbrt (cbrt h0)))) h0) (* h0 (log (cbrt h0)))) (+ (* (* 2 (log (cbrt (sqrt h0)))) h0) (* h0 (log (cbrt h0)))) (+ (* (* 2 (log (cbrt h0))) h0) (* h0 (log (cbrt h0)))) (+ (* (* 2 (log (cbrt (cbrt h0)))) h0) (* h0 (log (cbrt h0)))) (+ (* (* 2 (log (sqrt (cbrt h0)))) h0) (* h0 (log (cbrt h0)))) (+ (* (* 2 (log (cbrt h0))) h0) (* h0 (log (cbrt h0)))) (+ (* (* (log (cbrt (cbrt h0))) 2) h0) (* h0 (log (cbrt h0)))) (+ (* (* (log (cbrt (sqrt h0))) 2) h0) (* h0 (log (cbrt h0)))) (+ (* (* (log (cbrt h0)) 2) h0) (* h0 (log (cbrt h0)))) (+ (* (* (log (cbrt (cbrt h0))) 2) h0) (* h0 (log (cbrt h0)))) (+ (* (* (log (sqrt (cbrt h0))) 2) h0) (* h0 (log (cbrt h0)))) (+ (* (* (log (cbrt h0)) 2) h0) (* h0 (log (cbrt h0)))) (expm1 (* h0 (log (cbrt h0)))) (log1p (* h0 (log (cbrt h0)))) (* h0 (log (cbrt h0))) (+ (log h0) (log (log (cbrt h0)))) (log (* h0 (log (cbrt h0)))) (exp (* h0 (log (cbrt h0)))) (* (* (* h0 h0) h0) (* (* (log (cbrt h0)) (log (cbrt h0))) (log (cbrt h0)))) (* (cbrt (* h0 (log (cbrt h0)))) (cbrt (* h0 (log (cbrt h0))))) (cbrt (* h0 (log (cbrt h0)))) (* (* (* h0 (log (cbrt h0))) (* h0 (log (cbrt h0)))) (* h0 (log (cbrt h0)))) (sqrt (* h0 (log (cbrt h0)))) (sqrt (* h0 (log (cbrt h0)))) (* (sqrt h0) (sqrt (log (cbrt h0)))) (* (sqrt h0) (sqrt (log (cbrt h0)))) (* h0 (log (cbrt (* (cbrt h0) (cbrt h0))))) (* h0 (log (cbrt (cbrt h0)))) (* h0 (log (cbrt (sqrt h0)))) (* h0 (log (cbrt (sqrt h0)))) (* h0 (log (cbrt 1))) (* h0 (log (cbrt h0))) (* h0 (log (* (cbrt (cbrt h0)) (cbrt (cbrt h0))))) (* h0 (log (cbrt (cbrt h0)))) (* h0 (log (sqrt (cbrt h0)))) (* h0 (log (sqrt (cbrt h0)))) (* h0 (log 1)) (* h0 (log (cbrt h0))) (* (log (cbrt (* (cbrt h0) (cbrt h0)))) h0) (* (log (cbrt (cbrt h0))) h0) (* (log (cbrt (sqrt h0))) h0) (* (log (cbrt (sqrt h0))) h0) (* (log (cbrt 1)) h0) (* (log (cbrt h0)) h0) (* (log (* (cbrt (cbrt h0)) (cbrt (cbrt h0)))) h0) (* (log (cbrt (cbrt h0))) h0) (* (log (sqrt (cbrt h0))) h0) (* (log (sqrt (cbrt h0))) h0) (* (log 1) h0) (* (log (cbrt h0)) h0) (* h0 1/3) (* h0 1) (* h0 (* (cbrt (log (cbrt h0))) (cbrt (log (cbrt h0))))) (* h0 (sqrt (log (cbrt h0)))) (* h0 1) (* (cbrt h0) (log (cbrt h0))) (* (sqrt h0) (log (cbrt h0))) (* h0 (log (cbrt h0))) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) (* 3 (* h0 (log (pow h0 1/3)))) (* 3 (* (log (pow (/ 1 h0) -1/3)) h0)) (* 3 (* h0 (log (* (pow (* -1 h0) 1/3) (cbrt -1))))) (* h0 (log (pow h0 1/3))) (* (log (pow (/ 1 h0) -1/3)) h0) (* h0 (log (* (pow (* -1 h0) 1/3) (cbrt -1)))) 1.446 * * [simplify]: iteration 0 : 381 enodes (cost 753 ) 1.453 * * [simplify]: iteration 1 : 1662 enodes (cost 639 ) 1.489 * * [simplify]: iteration 2 : 5002 enodes (cost 569 ) 1.493 * [simplify]: Simplified to: (expm1 (cbrt x)) (log1p (cbrt x)) (* (log x) 1/3) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (* (log x) 1/3) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))) (log1p (+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))) (pow (pow x 1/3) (fma x 2 x)) (log (* (log x) x)) (pow (pow x 1/3) (fma x 2 x)) (* (cbrt (+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))) (cbrt (+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x)))))) (cbrt (+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))) (pow (* (log x) x) 3) (sqrt (+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))) (sqrt (+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))) (* 9 (pow (* x (log (cbrt x))) 3)) (* (* (* x (log (cbrt x))) x) (log x)) (* (* (* x (log (cbrt x))) x) (log x)) (* x (log (pow x 1/3))) (log x) (* x (fma (log (pow x 1/3)) 2 (log (cbrt (* (cbrt x) (cbrt x)))))) (* x (fma (log (pow x 1/3)) 2 (log (cbrt (sqrt x))))) (* x (+ (fma 2/3 (log x) 0) 0)) (fma (* 2/3 (log x)) x (* x (* (log (cbrt (cbrt x))) 2))) (* x (fma (log (pow x 1/3)) 2 (log (sqrt (cbrt x))))) (* x (+ (fma 2/3 (log x) 0) 0)) (* x (fma (log (pow x 1/3)) 2 (log (cbrt (* (cbrt x) (cbrt x)))))) (* x (fma (log (pow x 1/3)) 2 (log (cbrt (sqrt x))))) (* x (+ (fma 2/3 (log x) 0) 0)) (fma (* 2/3 (log x)) x (* x (* (log (cbrt (cbrt x))) 2))) (* x (fma (log (pow x 1/3)) 2 (log (sqrt (cbrt x))))) (* x (+ (fma 2/3 (log x) 0) 0)) (* (fma (log (cbrt (cbrt x))) 2 (log (pow x 1/3))) x) (* (fma (log (cbrt (sqrt x))) 2 (log (pow x 1/3))) x) (* (log x) x) (* (fma (log (cbrt (cbrt x))) 2 (log (pow x 1/3))) x) (* (fma (log (sqrt (cbrt x))) 2 (log (pow x 1/3))) x) (* (log x) x) (* (fma (log (cbrt (cbrt x))) 2 (log (pow x 1/3))) x) (* (fma (log (cbrt (sqrt x))) 2 (log (pow x 1/3))) x) (* (log x) x) (* (fma (log (cbrt (cbrt x))) 2 (log (pow x 1/3))) x) (* (fma (log (sqrt (cbrt x))) 2 (log (pow x 1/3))) x) (* (log x) x) (* (fma (log (cbrt (cbrt x))) 2 (log (pow x 1/3))) x) (* (fma (log (cbrt (sqrt x))) 2 (log (pow x 1/3))) x) (* (log x) x) (* (fma (log (cbrt (cbrt x))) 2 (log (pow x 1/3))) x) (* (fma (log (sqrt (cbrt x))) 2 (log (pow x 1/3))) x) (* (log x) x) (* (fma (log (cbrt (cbrt x))) 2 (log (pow x 1/3))) x) (* (fma (log (cbrt (sqrt x))) 2 (log (pow x 1/3))) x) (* (log x) x) (* (fma (log (cbrt (cbrt x))) 2 (log (pow x 1/3))) x) (* (fma (log (sqrt (cbrt x))) 2 (log (pow x 1/3))) x) (* (log x) x) (expm1 (* x (log (cbrt x)))) (log1p (* x (log (cbrt x)))) (* x (log (pow x 1/3))) (log (* x (log (cbrt x)))) (log (* x (log (cbrt x)))) (pow (pow x 1/3) x) (pow (* x (log (cbrt x))) 3) (* (cbrt (* x (log (cbrt x)))) (cbrt (* x (log (cbrt x))))) (cbrt (* x (log (cbrt x)))) (pow (* x (log (cbrt x))) 3) (sqrt (* x (log (cbrt x)))) (sqrt (* x (log (cbrt x)))) (* (sqrt x) (sqrt (log (cbrt x)))) (* (sqrt x) (sqrt (log (cbrt x)))) (* x (log (cbrt (* (cbrt x) (cbrt x))))) (* x (log (cbrt (cbrt x)))) (* x (log (cbrt (sqrt x)))) (* x (log (cbrt (sqrt x)))) 0 (* x (log (pow x 1/3))) (* x (* (log (cbrt (cbrt x))) 2)) (* x (log (cbrt (cbrt x)))) (* x (log (sqrt (cbrt x)))) (* x (log (sqrt (cbrt x)))) 0 (* x (log (pow x 1/3))) (* x (log (cbrt (* (cbrt x) (cbrt x))))) (* x (log (cbrt (cbrt x)))) (* x (log (cbrt (sqrt x)))) (* x (log (cbrt (sqrt x)))) 0 (* x (log (pow x 1/3))) (* x (* (log (cbrt (cbrt x))) 2)) (* x (log (cbrt (cbrt x)))) (* x (log (sqrt (cbrt x)))) (* x (log (sqrt (cbrt x)))) 0 (* x (log (pow x 1/3))) (* x 1/3) x (* x (* (cbrt (log (cbrt x))) (cbrt (log (cbrt x))))) (* x (sqrt (log (cbrt x)))) x (* (cbrt x) (log (cbrt x))) (* (sqrt x) (log (cbrt x))) (* x (log (pow x 1/3))) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (* (log x) x) (* x (* -1 (log (/ 1 x)))) (* 3 (* x (log (* (pow (* -1 x) 1/3) (cbrt -1))))) (* x (log (pow x 1/3))) (* (log (pow (/ 1 x) -1/3)) x) (* x (log (* (pow (* -1 x) 1/3) (cbrt -1)))) 1.493 * * * [progress]: adding candidates to table 1.802 * * [progress]: iteration 3 / 4 1.802 * * * [progress]: picking best candidate 1.816 * * * * [pick]: Picked # 1.816 * * * [progress]: localizing error 1.831 * * * [progress]: generating rewritten candidates 1.832 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 1 1) 1.832 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1) 1.833 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2 1) 1.834 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 1) 1.836 * * * [progress]: generating series expansions 1.836 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 1 1) 1.836 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.836 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.836 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.836 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.837 * [taylor]: Taking taylor expansion of 1/3 in x 1.837 * [taylor]: Taking taylor expansion of (log x) in x 1.837 * [taylor]: Taking taylor expansion of x in x 1.837 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.837 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.837 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.837 * [taylor]: Taking taylor expansion of 1/3 in x 1.837 * [taylor]: Taking taylor expansion of (log x) in x 1.837 * [taylor]: Taking taylor expansion of x in x 1.886 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.886 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.886 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.886 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.886 * [taylor]: Taking taylor expansion of 1/3 in x 1.886 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.886 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.886 * [taylor]: Taking taylor expansion of x in x 1.887 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.887 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.887 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.887 * [taylor]: Taking taylor expansion of 1/3 in x 1.887 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.887 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.887 * [taylor]: Taking taylor expansion of x in x 1.942 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.942 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.942 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.942 * [taylor]: Taking taylor expansion of -1 in x 1.942 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.942 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.943 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.943 * [taylor]: Taking taylor expansion of 1/3 in x 1.943 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.943 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.943 * [taylor]: Taking taylor expansion of x in x 1.943 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.943 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.943 * [taylor]: Taking taylor expansion of -1 in x 1.944 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.944 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.944 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.944 * [taylor]: Taking taylor expansion of 1/3 in x 1.944 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.944 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.944 * [taylor]: Taking taylor expansion of x in x 2.002 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1) 2.002 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 2.002 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.002 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.002 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.002 * [taylor]: Taking taylor expansion of 1/3 in x 2.002 * [taylor]: Taking taylor expansion of (log x) in x 2.002 * [taylor]: Taking taylor expansion of x in x 2.003 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.003 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.003 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.003 * [taylor]: Taking taylor expansion of 1/3 in x 2.003 * [taylor]: Taking taylor expansion of (log x) in x 2.003 * [taylor]: Taking taylor expansion of x in x 2.054 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 2.054 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.054 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.054 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.054 * [taylor]: Taking taylor expansion of 1/3 in x 2.054 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.054 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.054 * [taylor]: Taking taylor expansion of x in x 2.055 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.055 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.055 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.055 * [taylor]: Taking taylor expansion of 1/3 in x 2.055 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.055 * [taylor]: Taking taylor expansion of x in x 2.109 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 2.109 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.109 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.109 * [taylor]: Taking taylor expansion of -1 in x 2.110 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.110 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.110 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.110 * [taylor]: Taking taylor expansion of 1/3 in x 2.110 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.110 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.110 * [taylor]: Taking taylor expansion of x in x 2.110 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.110 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.110 * [taylor]: Taking taylor expansion of -1 in x 2.111 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.111 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.111 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.111 * [taylor]: Taking taylor expansion of 1/3 in x 2.111 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.111 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.111 * [taylor]: Taking taylor expansion of x in x 2.174 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2 1) 2.174 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 2.174 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.174 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.174 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.174 * [taylor]: Taking taylor expansion of 1/3 in x 2.174 * [taylor]: Taking taylor expansion of (log x) in x 2.174 * [taylor]: Taking taylor expansion of x in x 2.174 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.174 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.174 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.174 * [taylor]: Taking taylor expansion of 1/3 in x 2.174 * [taylor]: Taking taylor expansion of (log x) in x 2.174 * [taylor]: Taking taylor expansion of x in x 2.220 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 2.220 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.220 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.220 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.220 * [taylor]: Taking taylor expansion of 1/3 in x 2.220 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.220 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.220 * [taylor]: Taking taylor expansion of x in x 2.221 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.221 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.221 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.221 * [taylor]: Taking taylor expansion of 1/3 in x 2.221 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.221 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.221 * [taylor]: Taking taylor expansion of x in x 2.275 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 2.275 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.275 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.275 * [taylor]: Taking taylor expansion of -1 in x 2.275 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.275 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.275 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.275 * [taylor]: Taking taylor expansion of 1/3 in x 2.275 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.275 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.275 * [taylor]: Taking taylor expansion of x in x 2.276 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.276 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.276 * [taylor]: Taking taylor expansion of -1 in x 2.277 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.277 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.277 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.277 * [taylor]: Taking taylor expansion of 1/3 in x 2.277 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.277 * [taylor]: Taking taylor expansion of x in x 2.340 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 1) 2.341 * [approximate]: Taking taylor expansion of (pow x 1/9) in (x) around 0 2.341 * [taylor]: Taking taylor expansion of (pow x 1/9) in x 2.341 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log x))) in x 2.341 * [taylor]: Taking taylor expansion of (* 1/9 (log x)) in x 2.341 * [taylor]: Taking taylor expansion of 1/9 in x 2.341 * [taylor]: Taking taylor expansion of (log x) in x 2.341 * [taylor]: Taking taylor expansion of x in x 2.341 * [taylor]: Taking taylor expansion of (pow x 1/9) in x 2.341 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log x))) in x 2.341 * [taylor]: Taking taylor expansion of (* 1/9 (log x)) in x 2.341 * [taylor]: Taking taylor expansion of 1/9 in x 2.341 * [taylor]: Taking taylor expansion of (log x) in x 2.341 * [taylor]: Taking taylor expansion of x in x 2.392 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/9) in (x) around 0 2.392 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/9) in x 2.392 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x)))) in x 2.392 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x))) in x 2.392 * [taylor]: Taking taylor expansion of 1/9 in x 2.392 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.392 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.392 * [taylor]: Taking taylor expansion of x in x 2.393 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/9) in x 2.393 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x)))) in x 2.393 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x))) in x 2.393 * [taylor]: Taking taylor expansion of 1/9 in x 2.393 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.393 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.393 * [taylor]: Taking taylor expansion of x in x 2.442 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ 1 x) 1/9)) in (x) around 0 2.442 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ 1 x) 1/9)) in x 2.442 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in x 2.442 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in x 2.442 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in x 2.442 * [taylor]: Taking taylor expansion of 1/3 in x 2.442 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in x 2.442 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.442 * [taylor]: Taking taylor expansion of -1 in x 2.445 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/9) in x 2.445 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x)))) in x 2.445 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x))) in x 2.445 * [taylor]: Taking taylor expansion of 1/9 in x 2.445 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.445 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.445 * [taylor]: Taking taylor expansion of x in x 2.446 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ 1 x) 1/9)) in x 2.446 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in x 2.446 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in x 2.446 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in x 2.446 * [taylor]: Taking taylor expansion of 1/3 in x 2.446 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in x 2.446 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.446 * [taylor]: Taking taylor expansion of -1 in x 2.449 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/9) in x 2.449 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x)))) in x 2.449 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x))) in x 2.449 * [taylor]: Taking taylor expansion of 1/9 in x 2.449 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.449 * [taylor]: Taking taylor expansion of x in x 2.570 * * * [progress]: simplifying candidates 2.571 * [simplify]: Simplifying using # : (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt (cbrt x))) (log1p (cbrt (cbrt x))) (log (cbrt (cbrt x))) (exp (cbrt (cbrt x))) (cbrt (cbrt (* (cbrt x) (cbrt x)))) (cbrt (cbrt (cbrt x))) (cbrt (cbrt (sqrt x))) (cbrt (cbrt (sqrt x))) (cbrt (cbrt 1)) (cbrt (cbrt x)) (cbrt (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (cbrt (cbrt (cbrt x))) (cbrt (sqrt (cbrt x))) (cbrt (sqrt (cbrt x))) (cbrt 1) (cbrt (cbrt x)) (* (cbrt (cbrt (cbrt x))) (cbrt (cbrt (cbrt x)))) (cbrt (cbrt (cbrt x))) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (sqrt (cbrt (cbrt x))) (sqrt (cbrt (cbrt x))) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/9) (pow (/ 1 x) -1/9) (* (pow (* -1 x) 1/9) (pow (cbrt -1) 1/3)) 2.571 * [simplify]: Sending expressions to egg_math: (expm1 (cbrt h0)) (log1p (cbrt h0)) (log (cbrt h0)) (exp (cbrt h0)) (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (cbrt h0)) (cbrt (sqrt h0)) (cbrt (sqrt h0)) (cbrt 1) (cbrt h0) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (cbrt (cbrt h0)) (* (* (cbrt h0) (cbrt h0)) (cbrt h0)) (sqrt (cbrt h0)) (sqrt (cbrt h0)) (expm1 (cbrt h0)) (log1p (cbrt h0)) (log (cbrt h0)) (exp (cbrt h0)) (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (cbrt h0)) (cbrt (sqrt h0)) (cbrt (sqrt h0)) (cbrt 1) (cbrt h0) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (cbrt (cbrt h0)) (* (* (cbrt h0) (cbrt h0)) (cbrt h0)) (sqrt (cbrt h0)) (sqrt (cbrt h0)) (expm1 (cbrt h0)) (log1p (cbrt h0)) (log (cbrt h0)) (exp (cbrt h0)) (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (cbrt h0)) (cbrt (sqrt h0)) (cbrt (sqrt h0)) (cbrt 1) (cbrt h0) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (cbrt (cbrt h0)) (* (* (cbrt h0) (cbrt h0)) (cbrt h0)) (sqrt (cbrt h0)) (sqrt (cbrt h0)) (expm1 (cbrt (cbrt h0))) (log1p (cbrt (cbrt h0))) (log (cbrt (cbrt h0))) (exp (cbrt (cbrt h0))) (cbrt (cbrt (* (cbrt h0) (cbrt h0)))) (cbrt (cbrt (cbrt h0))) (cbrt (cbrt (sqrt h0))) (cbrt (cbrt (sqrt h0))) (cbrt (cbrt 1)) (cbrt (cbrt h0)) (cbrt (* (cbrt (cbrt h0)) (cbrt (cbrt h0)))) (cbrt (cbrt (cbrt h0))) (cbrt (sqrt (cbrt h0))) (cbrt (sqrt (cbrt h0))) (cbrt 1) (cbrt (cbrt h0)) (* (cbrt (cbrt (cbrt h0))) (cbrt (cbrt (cbrt h0)))) (cbrt (cbrt (cbrt h0))) (* (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (cbrt (cbrt h0))) (sqrt (cbrt (cbrt h0))) (sqrt (cbrt (cbrt h0))) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) (pow h0 1/9) (pow (/ 1 h0) -1/9) (* (pow (* -1 h0) 1/9) (pow (cbrt -1) 1/3)) 2.574 * * [simplify]: iteration 0 : 75 enodes (cost 209 ) 2.576 * * [simplify]: iteration 1 : 145 enodes (cost 195 ) 2.578 * * [simplify]: iteration 2 : 361 enodes (cost 187 ) 2.585 * * [simplify]: iteration 3 : 1382 enodes (cost 187 ) 2.616 * * [simplify]: iteration 4 : 5002 enodes (cost 187 ) 2.618 * [simplify]: Simplified to: (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt (cbrt x))) (log1p (cbrt (cbrt x))) (log (cbrt (cbrt x))) (exp (cbrt (cbrt x))) (cbrt (cbrt (* (cbrt x) (cbrt x)))) (cbrt (cbrt (cbrt x))) (cbrt (cbrt (sqrt x))) (cbrt (cbrt (sqrt x))) (cbrt (cbrt 1)) (cbrt (cbrt x)) (cbrt (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (cbrt (cbrt (cbrt x))) (cbrt (sqrt (cbrt x))) (cbrt (sqrt (cbrt x))) (cbrt 1) (cbrt (cbrt x)) (* (cbrt (cbrt (cbrt x))) (cbrt (cbrt (cbrt x)))) (cbrt (cbrt (cbrt x))) (pow x 1/3) (sqrt (cbrt (cbrt x))) (sqrt (cbrt (cbrt x))) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/9) (pow (/ 1 x) -1/9) (* (pow (* -1 x) 1/9) (pow (cbrt -1) 1/3)) 2.618 * * * [progress]: adding candidates to table 2.863 * * [progress]: iteration 4 / 4 2.863 * * * [progress]: picking best candidate 2.878 * * * * [pick]: Picked # 2.878 * * * [progress]: localizing error 2.903 * * * [progress]: generating rewritten candidates 2.903 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 3 1) 2.906 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1) 2.907 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1 2) 2.907 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 1) 2.909 * * * [progress]: generating series expansions 2.909 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 3 1) 2.909 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 2.909 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.909 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.909 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.909 * [taylor]: Taking taylor expansion of 1/3 in x 2.909 * [taylor]: Taking taylor expansion of (log x) in x 2.909 * [taylor]: Taking taylor expansion of x in x 2.910 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.910 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.910 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.910 * [taylor]: Taking taylor expansion of 1/3 in x 2.910 * [taylor]: Taking taylor expansion of (log x) in x 2.910 * [taylor]: Taking taylor expansion of x in x 2.961 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 2.961 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.961 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.961 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.961 * [taylor]: Taking taylor expansion of 1/3 in x 2.961 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.961 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.961 * [taylor]: Taking taylor expansion of x in x 2.962 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.962 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.962 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.962 * [taylor]: Taking taylor expansion of 1/3 in x 2.962 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.962 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.962 * [taylor]: Taking taylor expansion of x in x 3.010 * [approximate]: Taking taylor expansion of (pow (/ -1 x) 1/3) in (x) around 0 3.010 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 1/3) in x 3.010 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ -1 x)))) in x 3.010 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ -1 x))) in x 3.010 * [taylor]: Taking taylor expansion of 1/3 in x 3.010 * [taylor]: Taking taylor expansion of (log (/ -1 x)) in x 3.010 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.010 * [taylor]: Taking taylor expansion of -1 in x 3.010 * [taylor]: Taking taylor expansion of x in x 3.011 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 1/3) in x 3.011 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ -1 x)))) in x 3.011 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ -1 x))) in x 3.011 * [taylor]: Taking taylor expansion of 1/3 in x 3.011 * [taylor]: Taking taylor expansion of (log (/ -1 x)) in x 3.011 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.011 * [taylor]: Taking taylor expansion of -1 in x 3.011 * [taylor]: Taking taylor expansion of x in x 3.071 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1) 3.071 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 3.071 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 3.071 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 3.071 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 3.071 * [taylor]: Taking taylor expansion of 1/3 in x 3.071 * [taylor]: Taking taylor expansion of (log x) in x 3.071 * [taylor]: Taking taylor expansion of x in x 3.072 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 3.072 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 3.072 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 3.072 * [taylor]: Taking taylor expansion of 1/3 in x 3.072 * [taylor]: Taking taylor expansion of (log x) in x 3.072 * [taylor]: Taking taylor expansion of x in x 3.122 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 3.122 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.122 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.122 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.122 * [taylor]: Taking taylor expansion of 1/3 in x 3.122 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.122 * [taylor]: Taking taylor expansion of x in x 3.123 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.123 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.123 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.123 * [taylor]: Taking taylor expansion of 1/3 in x 3.123 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.123 * [taylor]: Taking taylor expansion of x in x 3.171 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 3.171 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 3.171 * [taylor]: Taking taylor expansion of (cbrt -1) in x 3.171 * [taylor]: Taking taylor expansion of -1 in x 3.172 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.172 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.172 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.172 * [taylor]: Taking taylor expansion of 1/3 in x 3.172 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.172 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.172 * [taylor]: Taking taylor expansion of x in x 3.172 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 3.172 * [taylor]: Taking taylor expansion of (cbrt -1) in x 3.172 * [taylor]: Taking taylor expansion of -1 in x 3.173 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.173 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.173 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.173 * [taylor]: Taking taylor expansion of 1/3 in x 3.173 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.173 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.173 * [taylor]: Taking taylor expansion of x in x 3.237 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1 2) 3.237 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 3.237 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 3.237 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 3.237 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 3.237 * [taylor]: Taking taylor expansion of 1/3 in x 3.237 * [taylor]: Taking taylor expansion of (log x) in x 3.237 * [taylor]: Taking taylor expansion of x in x 3.238 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 3.238 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 3.238 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 3.238 * [taylor]: Taking taylor expansion of 1/3 in x 3.238 * [taylor]: Taking taylor expansion of (log x) in x 3.238 * [taylor]: Taking taylor expansion of x in x 3.289 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 3.290 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.290 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.290 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.290 * [taylor]: Taking taylor expansion of 1/3 in x 3.290 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.290 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.290 * [taylor]: Taking taylor expansion of x in x 3.290 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.290 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.290 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.290 * [taylor]: Taking taylor expansion of 1/3 in x 3.290 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.290 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.291 * [taylor]: Taking taylor expansion of x in x 3.345 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 3.345 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 3.345 * [taylor]: Taking taylor expansion of (cbrt -1) in x 3.345 * [taylor]: Taking taylor expansion of -1 in x 3.345 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.345 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.345 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.345 * [taylor]: Taking taylor expansion of 1/3 in x 3.345 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.346 * [taylor]: Taking taylor expansion of x in x 3.346 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 3.346 * [taylor]: Taking taylor expansion of (cbrt -1) in x 3.346 * [taylor]: Taking taylor expansion of -1 in x 3.347 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.347 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.347 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.347 * [taylor]: Taking taylor expansion of 1/3 in x 3.347 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.347 * [taylor]: Taking taylor expansion of x in x 3.411 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1 1) 3.411 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 3.411 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 3.411 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 3.411 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 3.411 * [taylor]: Taking taylor expansion of 1/3 in x 3.411 * [taylor]: Taking taylor expansion of (log x) in x 3.411 * [taylor]: Taking taylor expansion of x in x 3.411 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 3.411 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 3.411 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 3.411 * [taylor]: Taking taylor expansion of 1/3 in x 3.411 * [taylor]: Taking taylor expansion of (log x) in x 3.411 * [taylor]: Taking taylor expansion of x in x 3.457 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 3.457 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.457 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.457 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.457 * [taylor]: Taking taylor expansion of 1/3 in x 3.457 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.457 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.457 * [taylor]: Taking taylor expansion of x in x 3.458 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.458 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.458 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.458 * [taylor]: Taking taylor expansion of 1/3 in x 3.458 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.458 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.458 * [taylor]: Taking taylor expansion of x in x 3.512 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 3.512 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 3.512 * [taylor]: Taking taylor expansion of (cbrt -1) in x 3.512 * [taylor]: Taking taylor expansion of -1 in x 3.512 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.512 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.512 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.512 * [taylor]: Taking taylor expansion of 1/3 in x 3.512 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.512 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.512 * [taylor]: Taking taylor expansion of x in x 3.513 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 3.513 * [taylor]: Taking taylor expansion of (cbrt -1) in x 3.513 * [taylor]: Taking taylor expansion of -1 in x 3.514 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.514 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.514 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.514 * [taylor]: Taking taylor expansion of 1/3 in x 3.514 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.514 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.514 * [taylor]: Taking taylor expansion of x in x 3.577 * * * [progress]: simplifying candidates 3.578 * [simplify]: Simplifying using # : (expm1 (pow x 1/3)) (log1p (pow x 1/3)) (* (log x) 1/3) (* (log x) 1/3) (* 1 1/3) (pow x (* (cbrt 1/3) (cbrt 1/3))) (pow x (sqrt 1/3)) (pow x 1) (pow (* (cbrt x) (cbrt x)) 1/3) (pow (cbrt x) 1/3) (pow (sqrt x) 1/3) (pow (sqrt x) 1/3) (pow 1 1/3) (pow x 1/3) (log (pow x 1/3)) (exp (pow x 1/3)) (* (cbrt (pow x 1/3)) (cbrt (pow x 1/3))) (cbrt (pow x 1/3)) (* (* (pow x 1/3) (pow x 1/3)) (pow x 1/3)) (sqrt (pow x 1/3)) (sqrt (pow x 1/3)) (pow x (/ 1/3 2)) (pow x (/ 1/3 2)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (pow x 1/3) (pow (/ 1 x) -1/3) (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 3.578 * [simplify]: Sending expressions to egg_math: (expm1 (pow h0 1/3)) (log1p (pow h0 1/3)) (* (log h0) 1/3) (* (log h0) 1/3) (* 1 1/3) (pow h0 (* (cbrt 1/3) (cbrt 1/3))) (pow h0 (sqrt 1/3)) (pow h0 1) (pow (* (cbrt h0) (cbrt h0)) 1/3) (pow (cbrt h0) 1/3) (pow (sqrt h0) 1/3) (pow (sqrt h0) 1/3) (pow 1 1/3) (pow h0 1/3) (log (pow h0 1/3)) (exp (pow h0 1/3)) (* (cbrt (pow h0 1/3)) (cbrt (pow h0 1/3))) (cbrt (pow h0 1/3)) (* (* (pow h0 1/3) (pow h0 1/3)) (pow h0 1/3)) (sqrt (pow h0 1/3)) (sqrt (pow h0 1/3)) (pow h0 (/ 1/3 2)) (pow h0 (/ 1/3 2)) (expm1 (cbrt h0)) (log1p (cbrt h0)) (log (cbrt h0)) (exp (cbrt h0)) (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (cbrt h0)) (cbrt (sqrt h0)) (cbrt (sqrt h0)) (cbrt 1) (cbrt h0) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (cbrt (cbrt h0)) (* (* (cbrt h0) (cbrt h0)) (cbrt h0)) (sqrt (cbrt h0)) (sqrt (cbrt h0)) (expm1 (cbrt h0)) (log1p (cbrt h0)) (log (cbrt h0)) (exp (cbrt h0)) (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (cbrt h0)) (cbrt (sqrt h0)) (cbrt (sqrt h0)) (cbrt 1) (cbrt h0) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (cbrt (cbrt h0)) (* (* (cbrt h0) (cbrt h0)) (cbrt h0)) (sqrt (cbrt h0)) (sqrt (cbrt h0)) (expm1 (cbrt h0)) (log1p (cbrt h0)) (log (cbrt h0)) (exp (cbrt h0)) (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (cbrt h0)) (cbrt (sqrt h0)) (cbrt (sqrt h0)) (cbrt 1) (cbrt h0) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (cbrt (cbrt h0)) (* (* (cbrt h0) (cbrt h0)) (cbrt h0)) (sqrt (cbrt h0)) (sqrt (cbrt h0)) (pow h0 1/3) (pow (/ 1 h0) -1/3) (exp (* 1/3 (- (log -1) (log (/ -1 h0))))) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) 3.581 * * [simplify]: iteration 0 : 101 enodes (cost 176 ) 3.583 * * [simplify]: iteration 1 : 292 enodes (cost 150 ) 3.589 * * [simplify]: iteration 2 : 1046 enodes (cost 142 ) 3.616 * * [simplify]: iteration 3 : 5001 enodes (cost 137 ) 3.617 * [simplify]: Simplified to: (expm1 (cbrt x)) (log1p (cbrt x)) (log (pow x 1/3)) (log (pow x 1/3)) 1/3 (pow x (* (cbrt 1/3) (cbrt 1/3))) (pow x (sqrt 1/3)) x (cbrt (pow x 2/3)) (pow (cbrt x) 1/3) (pow (sqrt x) 1/3) (pow (sqrt x) 1/3) 1 (pow x 1/3) (log (pow x 1/3)) (exp (cbrt x)) (pow (pow x 1/3) 2/3) (pow (cbrt x) 1/3) x (sqrt (cbrt x)) (sqrt (cbrt x)) (pow x 1/6) (pow x 1/6) (expm1 (cbrt x)) (log1p (cbrt x)) (log (pow x 1/3)) (exp (cbrt x)) (cbrt (pow x 2/3)) (pow (cbrt x) 1/3) (pow (sqrt x) 1/3) (pow (sqrt x) 1/3) 1 (pow x 1/3) (pow (pow x 1/3) 2/3) (pow (cbrt x) 1/3) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (pow x 1/3)) (exp (cbrt x)) (cbrt (pow x 2/3)) (pow (cbrt x) 1/3) (pow (sqrt x) 1/3) (pow (sqrt x) 1/3) 1 (pow x 1/3) (pow (pow x 1/3) 2/3) (pow (cbrt x) 1/3) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (pow x 1/3)) (exp (cbrt x)) (cbrt (pow x 2/3)) (pow (cbrt x) 1/3) (pow (sqrt x) 1/3) (pow (sqrt x) 1/3) 1 (pow x 1/3) (pow (pow x 1/3) 2/3) (pow (cbrt x) 1/3) x (sqrt (cbrt x)) (sqrt (cbrt x)) (pow x 1/3) (pow (/ 1 x) -1/3) (pow x 1/3) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 3.617 * * * [progress]: adding candidates to table 3.883 * [progress]: [Phase 3 of 3] Extracting. 3.883 * * [regime]: Finding splitpoints for: (# # # # # # #) 3.888 * * * [regime-changes]: Trying 2 branch expressions: ((* x (log x)) x) 3.889 * * * * [regimes]: Trying to branch on (* x (log x)) from (# # # # # # #) 3.917 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 3.945 * * * [regime]: Found split indices: #