5.958 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.038 * * * [progress]: [2/2] Setting up program. 0.040 * [progress]: [Phase 2 of 3] Improving. 0.040 * [simplify]: Simplifying using # : (- (exp x) 1.0) 0.040 * [simplify]: Sending expressions to egg_math: (- (exp h0) h1) 0.043 * * [simplify]: iteration 0 : 6 enodes (cost 2 ) 0.044 * * [simplify]: iteration 1 : 7 enodes (cost 2 ) 0.045 * * [simplify]: iteration 2 : 7 enodes (cost 2 ) 0.045 * [simplify]: Simplified to: (- (exp x) 1.0) 0.046 * * [progress]: iteration 1 / 4 0.046 * * * [progress]: picking best candidate 0.047 * * * * [pick]: Picked # 0.047 * * * [progress]: localizing error 0.050 * * * [progress]: generating rewritten candidates 0.050 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.060 * * * [progress]: generating series expansions 0.060 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.060 * [approximate]: Taking taylor expansion of (- (exp x) 1.0) in (x) around 0 0.060 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.060 * [taylor]: Taking taylor expansion of (exp x) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of 1.0 in x 0.060 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.060 * [taylor]: Taking taylor expansion of (exp x) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of 1.0 in x 0.066 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in (x) around 0 0.066 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.066 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of 1.0 in x 0.066 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.066 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of 1.0 in x 0.070 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in (x) around 0 0.070 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.070 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.070 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.070 * [taylor]: Taking taylor expansion of -1 in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of 1.0 in x 0.070 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.070 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.070 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.070 * [taylor]: Taking taylor expansion of -1 in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of 1.0 in x 0.073 * * * [progress]: simplifying candidates 0.074 * [simplify]: Simplifying using # : (/ (exp (exp x)) (exp 1.0)) (log (- (exp x) 1.0)) (exp (- (exp x) 1.0)) (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0))) (cbrt (- (exp x) 1.0)) (* (* (- (exp x) 1.0) (- (exp x) 1.0)) (- (exp x) 1.0)) (sqrt (- (exp x) 1.0)) (sqrt (- (exp x) 1.0)) (- (pow (exp x) 3) (pow 1.0 3)) (+ (* (exp x) (exp x)) (+ (* 1.0 1.0) (* (exp x) 1.0))) (- 1.0) (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0) (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)) (- (exp x) 1.0) (- 1.0) (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) (- (exp x) 1.0) (- (exp x) 1.0) 0.074 * [simplify]: Sending expressions to egg_math: (/ (exp (exp h0)) (exp h1)) (log (- (exp h0) h1)) (exp (- (exp h0) h1)) (* (cbrt (- (exp h0) h1)) (cbrt (- (exp h0) h1))) (cbrt (- (exp h0) h1)) (* (* (- (exp h0) h1) (- (exp h0) h1)) (- (exp h0) h1)) (sqrt (- (exp h0) h1)) (sqrt (- (exp h0) h1)) (- (pow (exp h0) 3) (pow h1 3)) (+ (* (exp h0) (exp h0)) (+ (* h1 h1) (* (exp h0) h1))) (- h1) (- (* (exp h0) (exp h0)) (* h1 h1)) (+ (exp h0) h1) (+ (sqrt (exp h0)) (sqrt h1)) (- (sqrt (exp h0)) (sqrt h1)) (- (exp h0) h1) (- h1) (+ (* 1/2 (pow h0 2)) (+ (* 1/6 (pow h0 3)) h0)) (- (exp h0) h1) (- (exp h0) h1) 0.076 * * [simplify]: iteration 0 : 81 enodes (cost 72 ) 0.079 * * [simplify]: iteration 1 : 185 enodes (cost 67 ) 0.082 * * [simplify]: iteration 2 : 499 enodes (cost 66 ) 0.091 * * [simplify]: iteration 3 : 1399 enodes (cost 66 ) 0.127 * * [simplify]: iteration 4 : 5002 enodes (cost 66 ) 0.128 * [simplify]: Simplified to: (exp (- (exp x) 1.0)) (log (- (exp x) 1.0)) (exp (- (exp x) 1.0)) (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0))) (cbrt (- (exp x) 1.0)) (pow (- (exp x) 1.0) 3) (sqrt (- (exp x) 1.0)) (sqrt (- (exp x) 1.0)) (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))) (- 0 1.0) (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0) (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)) (- (exp x) 1.0) (- 0 1.0) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (- (exp x) 1.0) (- (exp x) 1.0) 0.128 * * * [progress]: adding candidates to table 0.167 * * [progress]: iteration 2 / 4 0.167 * * * [progress]: picking best candidate 0.170 * * * * [pick]: Picked # 0.170 * * * [progress]: localizing error 0.177 * * * [progress]: generating rewritten candidates 0.177 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2 1) 0.184 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.215 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.232 * * * [progress]: generating series expansions 0.232 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2 1) 0.232 * [approximate]: Taking taylor expansion of (* 1/6 x) in (x) around 0 0.232 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.232 * [taylor]: Taking taylor expansion of 1/6 in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.232 * [taylor]: Taking taylor expansion of 1/6 in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.237 * [approximate]: Taking taylor expansion of (/ 1/6 x) in (x) around 0 0.237 * [taylor]: Taking taylor expansion of (/ 1/6 x) in x 0.237 * [taylor]: Taking taylor expansion of 1/6 in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of (/ 1/6 x) in x 0.238 * [taylor]: Taking taylor expansion of 1/6 in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.241 * [approximate]: Taking taylor expansion of (/ -1/6 x) in (x) around 0 0.241 * [taylor]: Taking taylor expansion of (/ -1/6 x) in x 0.241 * [taylor]: Taking taylor expansion of -1/6 in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of (/ -1/6 x) in x 0.241 * [taylor]: Taking taylor expansion of -1/6 in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.245 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.245 * [approximate]: Taking taylor expansion of (* (pow x 2) (+ (* 1/6 x) 1/2)) in (x) around 0 0.245 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 1/6 x) 1/2)) in x 0.245 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of (+ (* 1/6 x) 1/2) in x 0.245 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.245 * [taylor]: Taking taylor expansion of 1/6 in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of 1/2 in x 0.245 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 1/6 x) 1/2)) in x 0.245 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of (+ (* 1/6 x) 1/2) in x 0.245 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.245 * [taylor]: Taking taylor expansion of 1/6 in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of 1/2 in x 0.261 * [approximate]: Taking taylor expansion of (/ (+ 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in (x) around 0 0.261 * [taylor]: Taking taylor expansion of (/ (+ 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 0.261 * [taylor]: Taking taylor expansion of (+ 1/2 (* 1/6 (/ 1 x))) in x 0.261 * [taylor]: Taking taylor expansion of 1/2 in x 0.261 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.261 * [taylor]: Taking taylor expansion of 1/6 in x 0.261 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of (/ (+ 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 0.262 * [taylor]: Taking taylor expansion of (+ 1/2 (* 1/6 (/ 1 x))) in x 0.262 * [taylor]: Taking taylor expansion of 1/2 in x 0.262 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.262 * [taylor]: Taking taylor expansion of 1/6 in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.287 * [approximate]: Taking taylor expansion of (/ (- 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in (x) around 0 0.287 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 0.287 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/6 (/ 1 x))) in x 0.287 * [taylor]: Taking taylor expansion of 1/2 in x 0.287 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.287 * [taylor]: Taking taylor expansion of 1/6 in x 0.287 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 0.288 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/6 (/ 1 x))) in x 0.288 * [taylor]: Taking taylor expansion of 1/2 in x 0.288 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.288 * [taylor]: Taking taylor expansion of 1/6 in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.309 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.310 * [approximate]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) in (x) around 0 0.310 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) in x 0.310 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 0.310 * [taylor]: Taking taylor expansion of 1/2 in x 0.310 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [taylor]: Taking taylor expansion of (+ (* 1/6 (pow x 3)) x) in x 0.310 * [taylor]: Taking taylor expansion of (* 1/6 (pow x 3)) in x 0.310 * [taylor]: Taking taylor expansion of 1/6 in x 0.310 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) in x 0.310 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 0.310 * [taylor]: Taking taylor expansion of 1/2 in x 0.310 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [taylor]: Taking taylor expansion of (+ (* 1/6 (pow x 3)) x) in x 0.310 * [taylor]: Taking taylor expansion of (* 1/6 (pow x 3)) in x 0.310 * [taylor]: Taking taylor expansion of 1/6 in x 0.310 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.314 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in (x) around 0 0.314 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.314 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.314 * [taylor]: Taking taylor expansion of 1/2 in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.314 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.314 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.315 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.315 * [taylor]: Taking taylor expansion of 1/6 in x 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.315 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.315 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.315 * [taylor]: Taking taylor expansion of 1/2 in x 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.316 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.316 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.316 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.316 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.316 * [taylor]: Taking taylor expansion of 1/6 in x 0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.316 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.323 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in (x) around 0 0.324 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.324 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.324 * [taylor]: Taking taylor expansion of 1/2 in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.324 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.324 * [taylor]: Taking taylor expansion of 1/6 in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.324 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.325 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.325 * [taylor]: Taking taylor expansion of 1/2 in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.325 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.326 * [taylor]: Taking taylor expansion of 1/6 in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.326 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.334 * * * [progress]: simplifying candidates 0.334 * [simplify]: Simplifying using # : (* x 1/6) (+ (log x) (log 1/6)) (log (* x 1/6)) (exp (* x 1/6)) (* (* (* x x) x) (* (* 1/6 1/6) 1/6)) (* (cbrt (* x 1/6)) (cbrt (* x 1/6))) (cbrt (* x 1/6)) (* (* (* x 1/6) (* x 1/6)) (* x 1/6)) (sqrt (* x 1/6)) (sqrt (* x 1/6)) (* (sqrt x) (sqrt 1/6)) (* (sqrt x) (sqrt 1/6)) (* x (* (cbrt 1/6) (cbrt 1/6))) (* x (sqrt 1/6)) (* x 1) (* (cbrt x) 1/6) (* (sqrt x) 1/6) (* x 1/6) (+ (* (log x) 2) (log (+ (* x 1/6) 1/2))) (+ (* (log x) 2) (log (+ (* x 1/6) 1/2))) (+ (log (pow x 2)) (log (+ (* x 1/6) 1/2))) (log (* (pow x 2) (+ (* x 1/6) 1/2))) (exp (* (pow x 2) (+ (* x 1/6) 1/2))) (* (* (* (pow x 2) (pow x 2)) (pow x 2)) (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (+ (* x 1/6) 1/2))) (* (cbrt (* (pow x 2) (+ (* x 1/6) 1/2))) (cbrt (* (pow x 2) (+ (* x 1/6) 1/2)))) (cbrt (* (pow x 2) (+ (* x 1/6) 1/2))) (* (* (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2))) (* (pow x 2) (+ (* x 1/6) 1/2))) (sqrt (* (pow x 2) (+ (* x 1/6) 1/2))) (sqrt (* (pow x 2) (+ (* x 1/6) 1/2))) (* (pow (sqrt x) 2) (sqrt (+ (* x 1/6) 1/2))) (* (pow (sqrt x) 2) (sqrt (+ (* x 1/6) 1/2))) (* x (sqrt (+ (* x 1/6) 1/2))) (* x (sqrt (+ (* x 1/6) 1/2))) (* (sqrt (pow x 2)) (sqrt (+ (* x 1/6) 1/2))) (* (sqrt (pow x 2)) (sqrt (+ (* x 1/6) 1/2))) (* (pow x (/ 2 2)) (sqrt (+ (* x 1/6) 1/2))) (* (pow x (/ 2 2)) (sqrt (+ (* x 1/6) 1/2))) (* (pow x 2) (* x 1/6)) (* (pow x 2) 1/2) (* (* x 1/6) (pow x 2)) (* 1/2 (pow x 2)) (* (pow x 2) (* (cbrt (+ (* x 1/6) 1/2)) (cbrt (+ (* x 1/6) 1/2)))) (* (pow x 2) (sqrt (+ (* x 1/6) 1/2))) (* (pow x 2) 1) (* (pow (cbrt x) 2) (+ (* x 1/6) 1/2)) (* (pow (sqrt x) 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2)) (* x (+ (* x 1/6) 1/2)) (* (cbrt (pow x 2)) (+ (* x 1/6) 1/2)) (* (sqrt (pow x 2)) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x (/ 2 2)) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (pow (* x 1/6) 3) (pow 1/2 3))) (* (pow x 2) (- (* (* x 1/6) (* x 1/6)) (* 1/2 1/2))) (* (exp (* (pow x 2) (+ (* x 1/6) 1/2))) (exp x)) (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (exp (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (* (* (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (+ (pow (* (pow x 2) (+ (* x 1/6) 1/2)) 3) (pow x 3)) (+ (* (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2))) (- (* x x) (* (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (- (* (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2))) (* x x)) (- (* (pow x 2) (+ (* x 1/6) 1/2)) x) (+ (* (pow x 2) 1/2) x) (+ (* 1/2 (pow x 2)) x) (* 1/6 x) (* 1/6 x) (* 1/6 x) (+ (* 1/2 (pow x 2)) (* 1/6 (pow x 3))) (+ (* 1/2 (pow x 2)) (* 1/6 (pow x 3))) (+ (* 1/2 (pow x 2)) (* 1/6 (pow x 3))) (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) (+ (* 1/2 (pow x 2)) (+ x (* 1/6 (pow x 3)))) (+ (* 1/2 (pow x 2)) (+ x (* 1/6 (pow x 3)))) 0.335 * [simplify]: Sending expressions to egg_math: (* h0 1/6) (+ (log h0) (log 1/6)) (log (* h0 1/6)) (exp (* h0 1/6)) (* (* (* h0 h0) h0) (* (* 1/6 1/6) 1/6)) (* (cbrt (* h0 1/6)) (cbrt (* h0 1/6))) (cbrt (* h0 1/6)) (* (* (* h0 1/6) (* h0 1/6)) (* h0 1/6)) (sqrt (* h0 1/6)) (sqrt (* h0 1/6)) (* (sqrt h0) (sqrt 1/6)) (* (sqrt h0) (sqrt 1/6)) (* h0 (* (cbrt 1/6) (cbrt 1/6))) (* h0 (sqrt 1/6)) (* h0 1) (* (cbrt h0) 1/6) (* (sqrt h0) 1/6) (* h0 1/6) (+ (* (log h0) 2) (log (+ (* h0 1/6) 1/2))) (+ (* (log h0) 2) (log (+ (* h0 1/6) 1/2))) (+ (log (pow h0 2)) (log (+ (* h0 1/6) 1/2))) (log (* (pow h0 2) (+ (* h0 1/6) 1/2))) (exp (* (pow h0 2) (+ (* h0 1/6) 1/2))) (* (* (* (pow h0 2) (pow h0 2)) (pow h0 2)) (* (* (+ (* h0 1/6) 1/2) (+ (* h0 1/6) 1/2)) (+ (* h0 1/6) 1/2))) (* (cbrt (* (pow h0 2) (+ (* h0 1/6) 1/2))) (cbrt (* (pow h0 2) (+ (* h0 1/6) 1/2)))) (cbrt (* (pow h0 2) (+ (* h0 1/6) 1/2))) (* (* (* (pow h0 2) (+ (* h0 1/6) 1/2)) (* (pow h0 2) (+ (* h0 1/6) 1/2))) (* (pow h0 2) (+ (* h0 1/6) 1/2))) (sqrt (* (pow h0 2) (+ (* h0 1/6) 1/2))) (sqrt (* (pow h0 2) (+ (* h0 1/6) 1/2))) (* (pow (sqrt h0) 2) (sqrt (+ (* h0 1/6) 1/2))) (* (pow (sqrt h0) 2) (sqrt (+ (* h0 1/6) 1/2))) (* h0 (sqrt (+ (* h0 1/6) 1/2))) (* h0 (sqrt (+ (* h0 1/6) 1/2))) (* (sqrt (pow h0 2)) (sqrt (+ (* h0 1/6) 1/2))) (* (sqrt (pow h0 2)) (sqrt (+ (* h0 1/6) 1/2))) (* (pow h0 (/ 2 2)) (sqrt (+ (* h0 1/6) 1/2))) (* (pow h0 (/ 2 2)) (sqrt (+ (* h0 1/6) 1/2))) (* (pow h0 2) (* h0 1/6)) (* (pow h0 2) 1/2) (* (* h0 1/6) (pow h0 2)) (* 1/2 (pow h0 2)) (* (pow h0 2) (* (cbrt (+ (* h0 1/6) 1/2)) (cbrt (+ (* h0 1/6) 1/2)))) (* (pow h0 2) (sqrt (+ (* h0 1/6) 1/2))) (* (pow h0 2) 1) (* (pow (cbrt h0) 2) (+ (* h0 1/6) 1/2)) (* (pow (sqrt h0) 2) (+ (* h0 1/6) 1/2)) (* (pow h0 2) (+ (* h0 1/6) 1/2)) (* h0 (+ (* h0 1/6) 1/2)) (* (cbrt (pow h0 2)) (+ (* h0 1/6) 1/2)) (* (sqrt (pow h0 2)) (+ (* h0 1/6) 1/2)) (* (pow h0 2) (+ (* h0 1/6) 1/2)) (* (pow h0 (/ 2 2)) (+ (* h0 1/6) 1/2)) (* (pow h0 2) (+ (pow (* h0 1/6) 3) (pow 1/2 3))) (* (pow h0 2) (- (* (* h0 1/6) (* h0 1/6)) (* 1/2 1/2))) (* (exp (* (pow h0 2) (+ (* h0 1/6) 1/2))) (exp h0)) (log (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)) (exp (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)) (* (cbrt (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)) (cbrt (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0))) (cbrt (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)) (* (* (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0) (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)) (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)) (sqrt (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)) (sqrt (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)) (+ (pow (* (pow h0 2) (+ (* h0 1/6) 1/2)) 3) (pow h0 3)) (+ (* (* (pow h0 2) (+ (* h0 1/6) 1/2)) (* (pow h0 2) (+ (* h0 1/6) 1/2))) (- (* h0 h0) (* (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0))) (- (* (* (pow h0 2) (+ (* h0 1/6) 1/2)) (* (pow h0 2) (+ (* h0 1/6) 1/2))) (* h0 h0)) (- (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0) (+ (* (pow h0 2) 1/2) h0) (+ (* 1/2 (pow h0 2)) h0) (* 1/6 h0) (* 1/6 h0) (* 1/6 h0) (+ (* 1/2 (pow h0 2)) (* 1/6 (pow h0 3))) (+ (* 1/2 (pow h0 2)) (* 1/6 (pow h0 3))) (+ (* 1/2 (pow h0 2)) (* 1/6 (pow h0 3))) (+ (* 1/2 (pow h0 2)) (+ (* 1/6 (pow h0 3)) h0)) (+ (* 1/2 (pow h0 2)) (+ h0 (* 1/6 (pow h0 3)))) (+ (* 1/2 (pow h0 2)) (+ h0 (* 1/6 (pow h0 3)))) 0.339 * * [simplify]: iteration 0 : 310 enodes (cost 356 ) 0.347 * * [simplify]: iteration 1 : 1545 enodes (cost 328 ) 0.384 * * [simplify]: iteration 2 : 5001 enodes (cost 327 ) 0.386 * [simplify]: Simplified to: (* x 1/6) (log (* x 1/6)) (log (* x 1/6)) (exp (* x 1/6)) (pow (* x 1/6) 3) (* (cbrt (* x 1/6)) (cbrt (* x 1/6))) (cbrt (* x 1/6)) (pow (* x 1/6) 3) (sqrt (* x 1/6)) (sqrt (* x 1/6)) (* (sqrt x) (sqrt 1/6)) (* (sqrt x) (sqrt 1/6)) (* x (* (cbrt 1/6) (cbrt 1/6))) (* x (sqrt 1/6)) x (* (cbrt x) 1/6) (* (sqrt x) 1/6) (* x 1/6) (log (* (pow x 2) (+ (* x 1/6) 1/2))) (log (* (pow x 2) (+ (* x 1/6) 1/2))) (log (* (pow x 2) (+ (* x 1/6) 1/2))) (log (* (pow x 2) (+ (* x 1/6) 1/2))) (exp (* (pow x 2) (+ (* x 1/6) 1/2))) (pow (* (pow x 2) (+ (* x 1/6) 1/2)) 3) (* (cbrt (* (pow x 2) (+ (* x 1/6) 1/2))) (cbrt (* (pow x 2) (+ (* x 1/6) 1/2)))) (cbrt (* (pow x 2) (+ (* x 1/6) 1/2))) (pow (* (pow x 2) (+ (* x 1/6) 1/2)) 3) (sqrt (* (pow x 2) (+ (* x 1/6) 1/2))) (sqrt (* (pow x 2) (+ (* x 1/6) 1/2))) (* (sqrt (+ (* x 1/6) 1/2)) x) (* (sqrt (+ (* x 1/6) 1/2)) x) (* (sqrt (+ (* x 1/6) 1/2)) x) (* (sqrt (+ (* x 1/6) 1/2)) x) (* (sqrt (pow x 2)) (sqrt (+ (* x 1/6) 1/2))) (* (sqrt (pow x 2)) (sqrt (+ (* x 1/6) 1/2))) (* (sqrt (+ (* x 1/6) 1/2)) x) (* (sqrt (+ (* x 1/6) 1/2)) x) (* (pow x 3) 1/6) (* (pow x 2) 1/2) (* (pow x 3) 1/6) (* (pow x 2) 1/2) (* (pow x 2) (* (cbrt (+ (* x 1/6) 1/2)) (cbrt (+ (* x 1/6) 1/2)))) (* (pow x 2) (sqrt (+ (* x 1/6) 1/2))) (pow x 2) (* (pow (cbrt x) 2) (+ (* x 1/6) 1/2)) (* (+ (* x 1/6) 1/2) x) (* (pow x 2) (+ (* x 1/6) 1/2)) (* (+ (* x 1/6) 1/2) x) (* (cbrt (pow x 2)) (+ (* x 1/6) 1/2)) (* (fabs x) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2)) (* (+ (* x 1/6) 1/2) x) (* (pow x 2) (+ (pow (* x 1/6) 3) 1/8)) (* (pow x 2) (- (* (* x 1/6) (* x 1/6)) 1/4)) (exp (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (exp (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (pow (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) 3) (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (+ (pow (* (pow x 2) (+ (* x 1/6) 1/2)) 3) (pow x 3)) (* (pow x 2) (+ (* (+ (* x 1/6) 1/2) (* (pow x 2) (+ (* x 1/6) 1/2))) (- 1 (* (+ (* x 1/6) 1/2) x)))) (- (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (pow x 4)) (pow x 2)) (- (* (pow x 2) (+ (* x 1/6) 1/2)) x) (+ (* 1/2 (pow x 2)) x) (+ (* 1/2 (pow x 2)) x) (* x 1/6) (* x 1/6) (* x 1/6) (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2)) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) 0.387 * * * [progress]: adding candidates to table 0.522 * * [progress]: iteration 3 / 4 0.522 * * * [progress]: picking best candidate 0.526 * * * * [pick]: Picked # 0.526 * * * [progress]: localizing error 0.536 * * * [progress]: generating rewritten candidates 0.536 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.555 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2 1) 0.561 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.592 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.609 * * * [progress]: generating series expansions 0.609 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.609 * [approximate]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) in (x) around 0 0.609 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) in x 0.609 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 0.609 * [taylor]: Taking taylor expansion of 1/2 in x 0.609 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of (+ (* 1/6 (pow x 3)) x) in x 0.609 * [taylor]: Taking taylor expansion of (* 1/6 (pow x 3)) in x 0.609 * [taylor]: Taking taylor expansion of 1/6 in x 0.609 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) in x 0.609 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 0.609 * [taylor]: Taking taylor expansion of 1/2 in x 0.609 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of (+ (* 1/6 (pow x 3)) x) in x 0.609 * [taylor]: Taking taylor expansion of (* 1/6 (pow x 3)) in x 0.609 * [taylor]: Taking taylor expansion of 1/6 in x 0.609 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.614 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in (x) around 0 0.614 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.614 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.614 * [taylor]: Taking taylor expansion of 1/2 in x 0.614 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.614 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.614 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.614 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.615 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.615 * [taylor]: Taking taylor expansion of 1/6 in x 0.615 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.615 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.615 * [taylor]: Taking taylor expansion of x in x 0.615 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.615 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.615 * [taylor]: Taking taylor expansion of 1/2 in x 0.615 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.615 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.615 * [taylor]: Taking taylor expansion of x in x 0.616 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.616 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.616 * [taylor]: Taking taylor expansion of x in x 0.616 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.616 * [taylor]: Taking taylor expansion of 1/6 in x 0.616 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.616 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.616 * [taylor]: Taking taylor expansion of x in x 0.623 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in (x) around 0 0.623 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.623 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.623 * [taylor]: Taking taylor expansion of 1/2 in x 0.623 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.623 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.624 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.624 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.624 * [taylor]: Taking taylor expansion of x in x 0.624 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.624 * [taylor]: Taking taylor expansion of 1/6 in x 0.624 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.624 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.624 * [taylor]: Taking taylor expansion of x in x 0.625 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.625 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.625 * [taylor]: Taking taylor expansion of 1/2 in x 0.625 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.625 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.625 * [taylor]: Taking taylor expansion of x in x 0.625 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.625 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.625 * [taylor]: Taking taylor expansion of x in x 0.626 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.626 * [taylor]: Taking taylor expansion of 1/6 in x 0.626 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.626 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.637 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2 1) 0.638 * [approximate]: Taking taylor expansion of (* 1/6 x) in (x) around 0 0.638 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.638 * [taylor]: Taking taylor expansion of 1/6 in x 0.638 * [taylor]: Taking taylor expansion of x in x 0.638 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.638 * [taylor]: Taking taylor expansion of 1/6 in x 0.638 * [taylor]: Taking taylor expansion of x in x 0.643 * [approximate]: Taking taylor expansion of (/ 1/6 x) in (x) around 0 0.643 * [taylor]: Taking taylor expansion of (/ 1/6 x) in x 0.643 * [taylor]: Taking taylor expansion of 1/6 in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of (/ 1/6 x) in x 0.643 * [taylor]: Taking taylor expansion of 1/6 in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.646 * [approximate]: Taking taylor expansion of (/ -1/6 x) in (x) around 0 0.646 * [taylor]: Taking taylor expansion of (/ -1/6 x) in x 0.646 * [taylor]: Taking taylor expansion of -1/6 in x 0.646 * [taylor]: Taking taylor expansion of x in x 0.647 * [taylor]: Taking taylor expansion of (/ -1/6 x) in x 0.647 * [taylor]: Taking taylor expansion of -1/6 in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.650 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.650 * [approximate]: Taking taylor expansion of (* (pow x 2) (+ (* 1/6 x) 1/2)) in (x) around 0 0.650 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 1/6 x) 1/2)) in x 0.650 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.650 * [taylor]: Taking taylor expansion of (+ (* 1/6 x) 1/2) in x 0.650 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.650 * [taylor]: Taking taylor expansion of 1/6 in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.650 * [taylor]: Taking taylor expansion of 1/2 in x 0.650 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 1/6 x) 1/2)) in x 0.650 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.650 * [taylor]: Taking taylor expansion of (+ (* 1/6 x) 1/2) in x 0.650 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.650 * [taylor]: Taking taylor expansion of 1/6 in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.650 * [taylor]: Taking taylor expansion of 1/2 in x 0.667 * [approximate]: Taking taylor expansion of (/ (+ 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in (x) around 0 0.667 * [taylor]: Taking taylor expansion of (/ (+ 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 0.667 * [taylor]: Taking taylor expansion of (+ 1/2 (* 1/6 (/ 1 x))) in x 0.667 * [taylor]: Taking taylor expansion of 1/2 in x 0.667 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.667 * [taylor]: Taking taylor expansion of 1/6 in x 0.667 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.668 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.668 * [taylor]: Taking taylor expansion of x in x 0.668 * [taylor]: Taking taylor expansion of (/ (+ 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 0.668 * [taylor]: Taking taylor expansion of (+ 1/2 (* 1/6 (/ 1 x))) in x 0.668 * [taylor]: Taking taylor expansion of 1/2 in x 0.669 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.669 * [taylor]: Taking taylor expansion of 1/6 in x 0.669 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.669 * [taylor]: Taking taylor expansion of x in x 0.669 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.669 * [taylor]: Taking taylor expansion of x in x 0.687 * [approximate]: Taking taylor expansion of (/ (- 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in (x) around 0 0.687 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 0.687 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/6 (/ 1 x))) in x 0.687 * [taylor]: Taking taylor expansion of 1/2 in x 0.687 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.687 * [taylor]: Taking taylor expansion of 1/6 in x 0.687 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.687 * [taylor]: Taking taylor expansion of x in x 0.687 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.687 * [taylor]: Taking taylor expansion of x in x 0.688 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 0.688 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/6 (/ 1 x))) in x 0.688 * [taylor]: Taking taylor expansion of 1/2 in x 0.688 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.688 * [taylor]: Taking taylor expansion of 1/6 in x 0.688 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.689 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.689 * [taylor]: Taking taylor expansion of x in x 0.708 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.708 * [approximate]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) in (x) around 0 0.709 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) in x 0.709 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 0.709 * [taylor]: Taking taylor expansion of 1/2 in x 0.709 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.709 * [taylor]: Taking taylor expansion of (+ (* 1/6 (pow x 3)) x) in x 0.709 * [taylor]: Taking taylor expansion of (* 1/6 (pow x 3)) in x 0.709 * [taylor]: Taking taylor expansion of 1/6 in x 0.709 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.709 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) in x 0.709 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 0.709 * [taylor]: Taking taylor expansion of 1/2 in x 0.709 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.709 * [taylor]: Taking taylor expansion of (+ (* 1/6 (pow x 3)) x) in x 0.709 * [taylor]: Taking taylor expansion of (* 1/6 (pow x 3)) in x 0.709 * [taylor]: Taking taylor expansion of 1/6 in x 0.709 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.713 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in (x) around 0 0.713 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.713 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.713 * [taylor]: Taking taylor expansion of 1/2 in x 0.713 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.713 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.713 * [taylor]: Taking taylor expansion of x in x 0.713 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.713 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.713 * [taylor]: Taking taylor expansion of x in x 0.713 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.713 * [taylor]: Taking taylor expansion of 1/6 in x 0.714 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.714 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.714 * [taylor]: Taking taylor expansion of x in x 0.719 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.719 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.719 * [taylor]: Taking taylor expansion of 1/2 in x 0.719 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.719 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.719 * [taylor]: Taking taylor expansion of x in x 0.720 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.720 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.720 * [taylor]: Taking taylor expansion of x in x 0.720 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.720 * [taylor]: Taking taylor expansion of 1/6 in x 0.720 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.720 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.720 * [taylor]: Taking taylor expansion of x in x 0.727 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in (x) around 0 0.727 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.727 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.727 * [taylor]: Taking taylor expansion of 1/2 in x 0.727 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.727 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.728 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.728 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.728 * [taylor]: Taking taylor expansion of x in x 0.728 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.728 * [taylor]: Taking taylor expansion of 1/6 in x 0.728 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.728 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.728 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.729 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.729 * [taylor]: Taking taylor expansion of 1/2 in x 0.729 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.729 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.729 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.730 * [taylor]: Taking taylor expansion of 1/6 in x 0.730 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.730 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.737 * * * [progress]: simplifying candidates 0.738 * [simplify]: Simplifying using # : (exp 1) (exp (* (cbrt (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (cbrt (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))))) (exp (sqrt (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (exp 1) (exp (log (* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))))) (exp (log (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (exp (log (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (exp (log (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (exp (log 1)) (exp (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (exp (log (+ (pow (* (pow x 2) (+ (* x 1/6) 1/2)) 3) (pow x 3)))) (exp (log (+ (* (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2))) (- (* x x) (* (* (pow x 2) (+ (* x 1/6) 1/2)) x))))) (exp (log (- (* (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2))) (* x x)))) (exp (log (- (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (log (exp (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (exp (exp (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (* (cbrt (exp (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (cbrt (exp (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))))) (cbrt (exp (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (* (* (exp (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (exp (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (exp (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (sqrt (exp (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (sqrt (exp (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (* x 1/6) (+ (log x) (log 1/6)) (log (* x 1/6)) (exp (* x 1/6)) (* (* (* x x) x) (* (* 1/6 1/6) 1/6)) (* (cbrt (* x 1/6)) (cbrt (* x 1/6))) (cbrt (* x 1/6)) (* (* (* x 1/6) (* x 1/6)) (* x 1/6)) (sqrt (* x 1/6)) (sqrt (* x 1/6)) (* (sqrt x) (sqrt 1/6)) (* (sqrt x) (sqrt 1/6)) (* x (* (cbrt 1/6) (cbrt 1/6))) (* x (sqrt 1/6)) (* x 1) (* (cbrt x) 1/6) (* (sqrt x) 1/6) (* x 1/6) (+ (* (log x) 2) (log (+ (* x 1/6) 1/2))) (+ (* (log x) 2) (log (+ (* x 1/6) 1/2))) (+ (log (pow x 2)) (log (+ (* x 1/6) 1/2))) (log (* (pow x 2) (+ (* x 1/6) 1/2))) (exp (* (pow x 2) (+ (* x 1/6) 1/2))) (* (* (* (pow x 2) (pow x 2)) (pow x 2)) (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (+ (* x 1/6) 1/2))) (* (cbrt (* (pow x 2) (+ (* x 1/6) 1/2))) (cbrt (* (pow x 2) (+ (* x 1/6) 1/2)))) (cbrt (* (pow x 2) (+ (* x 1/6) 1/2))) (* (* (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2))) (* (pow x 2) (+ (* x 1/6) 1/2))) (sqrt (* (pow x 2) (+ (* x 1/6) 1/2))) (sqrt (* (pow x 2) (+ (* x 1/6) 1/2))) (* (pow (sqrt x) 2) (sqrt (+ (* x 1/6) 1/2))) (* (pow (sqrt x) 2) (sqrt (+ (* x 1/6) 1/2))) (* x (sqrt (+ (* x 1/6) 1/2))) (* x (sqrt (+ (* x 1/6) 1/2))) (* (sqrt (pow x 2)) (sqrt (+ (* x 1/6) 1/2))) (* (sqrt (pow x 2)) (sqrt (+ (* x 1/6) 1/2))) (* (pow x (/ 2 2)) (sqrt (+ (* x 1/6) 1/2))) (* (pow x (/ 2 2)) (sqrt (+ (* x 1/6) 1/2))) (* (pow x 2) (* x 1/6)) (* (pow x 2) 1/2) (* (* x 1/6) (pow x 2)) (* 1/2 (pow x 2)) (* (pow x 2) (* (cbrt (+ (* x 1/6) 1/2)) (cbrt (+ (* x 1/6) 1/2)))) (* (pow x 2) (sqrt (+ (* x 1/6) 1/2))) (* (pow x 2) 1) (* (pow (cbrt x) 2) (+ (* x 1/6) 1/2)) (* (pow (sqrt x) 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2)) (* x (+ (* x 1/6) 1/2)) (* (cbrt (pow x 2)) (+ (* x 1/6) 1/2)) (* (sqrt (pow x 2)) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x (/ 2 2)) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (pow (* x 1/6) 3) (pow 1/2 3))) (* (pow x 2) (- (* (* x 1/6) (* x 1/6)) (* 1/2 1/2))) (* (exp (* (pow x 2) (+ (* x 1/6) 1/2))) (exp x)) (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (exp (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (* (* (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (+ (pow (* (pow x 2) (+ (* x 1/6) 1/2)) 3) (pow x 3)) (+ (* (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2))) (- (* x x) (* (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (- (* (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2))) (* x x)) (- (* (pow x 2) (+ (* x 1/6) 1/2)) x) (+ (* (pow x 2) 1/2) x) (+ (* 1/2 (pow x 2)) x) (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) (+ (* 1/2 (pow x 2)) (+ x (* 1/6 (pow x 3)))) (+ (* 1/2 (pow x 2)) (+ x (* 1/6 (pow x 3)))) (* 1/6 x) (* 1/6 x) (* 1/6 x) (+ (* 1/2 (pow x 2)) (* 1/6 (pow x 3))) (+ (* 1/2 (pow x 2)) (* 1/6 (pow x 3))) (+ (* 1/2 (pow x 2)) (* 1/6 (pow x 3))) (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) (+ (* 1/2 (pow x 2)) (+ x (* 1/6 (pow x 3)))) (+ (* 1/2 (pow x 2)) (+ x (* 1/6 (pow x 3)))) 0.739 * [simplify]: Sending expressions to egg_math: (exp 1) (exp (* (cbrt (log (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0))) (cbrt (log (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0))))) (exp (sqrt (log (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)))) (exp 1) (exp (log (* (cbrt (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)) (cbrt (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0))))) (exp (log (cbrt (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)))) (exp (log (sqrt (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)))) (exp (log (sqrt (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)))) (exp (log 1)) (exp (log (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0))) (exp (log (+ (pow (* (pow h0 2) (+ (* h0 1/6) 1/2)) 3) (pow h0 3)))) (exp (log (+ (* (* (pow h0 2) (+ (* h0 1/6) 1/2)) (* (pow h0 2) (+ (* h0 1/6) 1/2))) (- (* h0 h0) (* (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0))))) (exp (log (- (* (* (pow h0 2) (+ (* h0 1/6) 1/2)) (* (pow h0 2) (+ (* h0 1/6) 1/2))) (* h0 h0)))) (exp (log (- (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0))) (log (exp (log (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)))) (exp (exp (log (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)))) (* (cbrt (exp (log (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)))) (cbrt (exp (log (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0))))) (cbrt (exp (log (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)))) (* (* (exp (log (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0))) (exp (log (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)))) (exp (log (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)))) (sqrt (exp (log (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)))) (sqrt (exp (log (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)))) (* h0 1/6) (+ (log h0) (log 1/6)) (log (* h0 1/6)) (exp (* h0 1/6)) (* (* (* h0 h0) h0) (* (* 1/6 1/6) 1/6)) (* (cbrt (* h0 1/6)) (cbrt (* h0 1/6))) (cbrt (* h0 1/6)) (* (* (* h0 1/6) (* h0 1/6)) (* h0 1/6)) (sqrt (* h0 1/6)) (sqrt (* h0 1/6)) (* (sqrt h0) (sqrt 1/6)) (* (sqrt h0) (sqrt 1/6)) (* h0 (* (cbrt 1/6) (cbrt 1/6))) (* h0 (sqrt 1/6)) (* h0 1) (* (cbrt h0) 1/6) (* (sqrt h0) 1/6) (* h0 1/6) (+ (* (log h0) 2) (log (+ (* h0 1/6) 1/2))) (+ (* (log h0) 2) (log (+ (* h0 1/6) 1/2))) (+ (log (pow h0 2)) (log (+ (* h0 1/6) 1/2))) (log (* (pow h0 2) (+ (* h0 1/6) 1/2))) (exp (* (pow h0 2) (+ (* h0 1/6) 1/2))) (* (* (* (pow h0 2) (pow h0 2)) (pow h0 2)) (* (* (+ (* h0 1/6) 1/2) (+ (* h0 1/6) 1/2)) (+ (* h0 1/6) 1/2))) (* (cbrt (* (pow h0 2) (+ (* h0 1/6) 1/2))) (cbrt (* (pow h0 2) (+ (* h0 1/6) 1/2)))) (cbrt (* (pow h0 2) (+ (* h0 1/6) 1/2))) (* (* (* (pow h0 2) (+ (* h0 1/6) 1/2)) (* (pow h0 2) (+ (* h0 1/6) 1/2))) (* (pow h0 2) (+ (* h0 1/6) 1/2))) (sqrt (* (pow h0 2) (+ (* h0 1/6) 1/2))) (sqrt (* (pow h0 2) (+ (* h0 1/6) 1/2))) (* (pow (sqrt h0) 2) (sqrt (+ (* h0 1/6) 1/2))) (* (pow (sqrt h0) 2) (sqrt (+ (* h0 1/6) 1/2))) (* h0 (sqrt (+ (* h0 1/6) 1/2))) (* h0 (sqrt (+ (* h0 1/6) 1/2))) (* (sqrt (pow h0 2)) (sqrt (+ (* h0 1/6) 1/2))) (* (sqrt (pow h0 2)) (sqrt (+ (* h0 1/6) 1/2))) (* (pow h0 (/ 2 2)) (sqrt (+ (* h0 1/6) 1/2))) (* (pow h0 (/ 2 2)) (sqrt (+ (* h0 1/6) 1/2))) (* (pow h0 2) (* h0 1/6)) (* (pow h0 2) 1/2) (* (* h0 1/6) (pow h0 2)) (* 1/2 (pow h0 2)) (* (pow h0 2) (* (cbrt (+ (* h0 1/6) 1/2)) (cbrt (+ (* h0 1/6) 1/2)))) (* (pow h0 2) (sqrt (+ (* h0 1/6) 1/2))) (* (pow h0 2) 1) (* (pow (cbrt h0) 2) (+ (* h0 1/6) 1/2)) (* (pow (sqrt h0) 2) (+ (* h0 1/6) 1/2)) (* (pow h0 2) (+ (* h0 1/6) 1/2)) (* h0 (+ (* h0 1/6) 1/2)) (* (cbrt (pow h0 2)) (+ (* h0 1/6) 1/2)) (* (sqrt (pow h0 2)) (+ (* h0 1/6) 1/2)) (* (pow h0 2) (+ (* h0 1/6) 1/2)) (* (pow h0 (/ 2 2)) (+ (* h0 1/6) 1/2)) (* (pow h0 2) (+ (pow (* h0 1/6) 3) (pow 1/2 3))) (* (pow h0 2) (- (* (* h0 1/6) (* h0 1/6)) (* 1/2 1/2))) (* (exp (* (pow h0 2) (+ (* h0 1/6) 1/2))) (exp h0)) (log (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)) (exp (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)) (* (cbrt (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)) (cbrt (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0))) (cbrt (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)) (* (* (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0) (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)) (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)) (sqrt (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)) (sqrt (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)) (+ (pow (* (pow h0 2) (+ (* h0 1/6) 1/2)) 3) (pow h0 3)) (+ (* (* (pow h0 2) (+ (* h0 1/6) 1/2)) (* (pow h0 2) (+ (* h0 1/6) 1/2))) (- (* h0 h0) (* (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0))) (- (* (* (pow h0 2) (+ (* h0 1/6) 1/2)) (* (pow h0 2) (+ (* h0 1/6) 1/2))) (* h0 h0)) (- (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0) (+ (* (pow h0 2) 1/2) h0) (+ (* 1/2 (pow h0 2)) h0) (+ (* 1/2 (pow h0 2)) (+ (* 1/6 (pow h0 3)) h0)) (+ (* 1/2 (pow h0 2)) (+ h0 (* 1/6 (pow h0 3)))) (+ (* 1/2 (pow h0 2)) (+ h0 (* 1/6 (pow h0 3)))) (* 1/6 h0) (* 1/6 h0) (* 1/6 h0) (+ (* 1/2 (pow h0 2)) (* 1/6 (pow h0 3))) (+ (* 1/2 (pow h0 2)) (* 1/6 (pow h0 3))) (+ (* 1/2 (pow h0 2)) (* 1/6 (pow h0 3))) (+ (* 1/2 (pow h0 2)) (+ (* 1/6 (pow h0 3)) h0)) (+ (* 1/2 (pow h0 2)) (+ h0 (* 1/6 (pow h0 3)))) (+ (* 1/2 (pow h0 2)) (+ h0 (* 1/6 (pow h0 3)))) 0.744 * * [simplify]: iteration 0 : 347 enodes (cost 540 ) 0.751 * * [simplify]: iteration 1 : 1665 enodes (cost 490 ) 0.785 * * [simplify]: iteration 2 : 5001 enodes (cost 475 ) 0.788 * [simplify]: Simplified to: E (exp (* (cbrt (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (cbrt (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))))) (exp (sqrt (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) E (pow (exp 2) (log (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) 1 (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (+ (pow (* (pow x 2) (+ (* x 1/6) 1/2)) 3) (pow x 3)) (* (pow x 2) (+ (* (+ (* x 1/6) 1/2) (* (pow x 2) (+ (* x 1/6) 1/2))) (- 1 (* x (+ (* x 1/6) 1/2))))) (- (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (pow x 4)) (pow x 2)) (- (* (pow x 2) (+ (* x 1/6) 1/2)) x) (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (exp (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (pow (exp 2) (log (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (pow (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) 3) (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (* x 1/6) (log (* x 1/6)) (log (* x 1/6)) (exp (* x 1/6)) (pow (* x 1/6) 3) (* (cbrt (* x 1/6)) (cbrt (* x 1/6))) (cbrt (* x 1/6)) (pow (* x 1/6) 3) (sqrt (* x 1/6)) (sqrt (* x 1/6)) (* (sqrt x) (sqrt 1/6)) (* (sqrt x) (sqrt 1/6)) (* x (* (cbrt 1/6) (cbrt 1/6))) (* x (sqrt 1/6)) x (* (cbrt x) 1/6) (* (sqrt x) 1/6) (* x 1/6) (log (* (pow x 2) (+ (* x 1/6) 1/2))) (log (* (pow x 2) (+ (* x 1/6) 1/2))) (log (* (pow x 2) (+ (* x 1/6) 1/2))) (log (* (pow x 2) (+ (* x 1/6) 1/2))) (exp (* (pow x 2) (+ (* x 1/6) 1/2))) (pow (* (pow x 2) (+ (* x 1/6) 1/2)) 3) (* (cbrt (* (pow x 2) (+ (* x 1/6) 1/2))) (cbrt (* (pow x 2) (+ (* x 1/6) 1/2)))) (cbrt (* (pow x 2) (+ (* x 1/6) 1/2))) (pow (* (pow x 2) (+ (* x 1/6) 1/2)) 3) (sqrt (* (pow x 2) (+ (* x 1/6) 1/2))) (sqrt (* (pow x 2) (+ (* x 1/6) 1/2))) (* x (sqrt (+ (* x 1/6) 1/2))) (* x (sqrt (+ (* x 1/6) 1/2))) (* x (sqrt (+ (* x 1/6) 1/2))) (* x (sqrt (+ (* x 1/6) 1/2))) (* (sqrt (pow x 2)) (sqrt (+ (* x 1/6) 1/2))) (* (sqrt (pow x 2)) (sqrt (+ (* x 1/6) 1/2))) (* x (sqrt (+ (* x 1/6) 1/2))) (* x (sqrt (+ (* x 1/6) 1/2))) (* (pow x 3) 1/6) (* (pow x 2) 1/2) (* (pow x 3) 1/6) (* (pow x 2) 1/2) (* (pow x 2) (* (cbrt (+ (* x 1/6) 1/2)) (cbrt (+ (* x 1/6) 1/2)))) (* (pow x 2) (sqrt (+ (* x 1/6) 1/2))) (pow x 2) (* (pow (cbrt x) 2) (+ (* x 1/6) 1/2)) (* x (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2)) (* x (+ (* x 1/6) 1/2)) (* (cbrt (pow x 2)) (+ (* x 1/6) 1/2)) (* (fabs x) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2)) (* x (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (pow (* x 1/6) 3) 1/8)) (* (pow x 2) (- (* (* x 1/6) (* x 1/6)) (* 1/2 1/2))) (exp (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (exp (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (pow (exp 2) (log (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (pow (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) 3) (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (+ (pow (* (pow x 2) (+ (* x 1/6) 1/2)) 3) (pow x 3)) (* (pow x 2) (+ (* (+ (* x 1/6) 1/2) (* (pow x 2) (+ (* x 1/6) 1/2))) (- 1 (* x (+ (* x 1/6) 1/2))))) (- (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (pow x 4)) (pow x 2)) (- (* (pow x 2) (+ (* x 1/6) 1/2)) x) (+ (* 1/2 (pow x 2)) x) (+ (* 1/2 (pow x 2)) x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (* x 1/6) (* x 1/6) (* x 1/6) (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2)) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) 0.788 * * * [progress]: adding candidates to table 0.979 * * [progress]: iteration 4 / 4 0.979 * * * [progress]: picking best candidate 0.983 * * * * [pick]: Picked # 0.983 * * * [progress]: localizing error 0.996 * * * [progress]: generating rewritten candidates 0.996 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.016 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2 1) 1.023 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 1.054 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.071 * * * [progress]: generating series expansions 1.071 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.071 * [approximate]: Taking taylor expansion of (pow E (log (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)))) in (x) around 0 1.071 * [taylor]: Taking taylor expansion of (pow E (log (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)))) in x 1.071 * [taylor]: Taking taylor expansion of (exp (* (log (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x))) (log E))) in x 1.071 * [taylor]: Taking taylor expansion of (* (log (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x))) (log E)) in x 1.071 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x))) in x 1.071 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) in x 1.071 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 1.071 * [taylor]: Taking taylor expansion of 1/2 in x 1.071 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.071 * [taylor]: Taking taylor expansion of x in x 1.071 * [taylor]: Taking taylor expansion of (+ (* 1/6 (pow x 3)) x) in x 1.071 * [taylor]: Taking taylor expansion of (* 1/6 (pow x 3)) in x 1.071 * [taylor]: Taking taylor expansion of 1/6 in x 1.071 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.071 * [taylor]: Taking taylor expansion of x in x 1.071 * [taylor]: Taking taylor expansion of x in x 1.073 * [taylor]: Taking taylor expansion of (log E) in x 1.073 * [taylor]: Taking taylor expansion of E in x 1.073 * [taylor]: Taking taylor expansion of (pow E (log (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)))) in x 1.073 * [taylor]: Taking taylor expansion of (exp (* (log (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x))) (log E))) in x 1.073 * [taylor]: Taking taylor expansion of (* (log (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x))) (log E)) in x 1.073 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x))) in x 1.073 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) in x 1.073 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 1.073 * [taylor]: Taking taylor expansion of 1/2 in x 1.073 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.073 * [taylor]: Taking taylor expansion of (+ (* 1/6 (pow x 3)) x) in x 1.073 * [taylor]: Taking taylor expansion of (* 1/6 (pow x 3)) in x 1.073 * [taylor]: Taking taylor expansion of 1/6 in x 1.073 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.075 * [taylor]: Taking taylor expansion of (log E) in x 1.075 * [taylor]: Taking taylor expansion of E in x 1.085 * [approximate]: Taking taylor expansion of (pow E (log (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))))) in (x) around 0 1.085 * [taylor]: Taking taylor expansion of (pow E (log (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))))) in x 1.085 * [taylor]: Taking taylor expansion of (exp (* (log (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))))) (log E))) in x 1.085 * [taylor]: Taking taylor expansion of (* (log (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))))) (log E)) in x 1.085 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))))) in x 1.085 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 1.085 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 1.085 * [taylor]: Taking taylor expansion of 1/2 in x 1.085 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.085 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.085 * [taylor]: Taking taylor expansion of x in x 1.085 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 1.086 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.086 * [taylor]: Taking taylor expansion of x in x 1.086 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 1.086 * [taylor]: Taking taylor expansion of 1/6 in x 1.086 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.086 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.086 * [taylor]: Taking taylor expansion of x in x 1.087 * [taylor]: Taking taylor expansion of (log E) in x 1.087 * [taylor]: Taking taylor expansion of E in x 1.088 * [taylor]: Taking taylor expansion of (pow E (log (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))))) in x 1.088 * [taylor]: Taking taylor expansion of (exp (* (log (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))))) (log E))) in x 1.088 * [taylor]: Taking taylor expansion of (* (log (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))))) (log E)) in x 1.088 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))))) in x 1.088 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 1.088 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 1.088 * [taylor]: Taking taylor expansion of 1/2 in x 1.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.089 * [taylor]: Taking taylor expansion of x in x 1.089 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 1.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.089 * [taylor]: Taking taylor expansion of x in x 1.089 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 1.089 * [taylor]: Taking taylor expansion of 1/6 in x 1.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.089 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.089 * [taylor]: Taking taylor expansion of x in x 1.091 * [taylor]: Taking taylor expansion of (log E) in x 1.091 * [taylor]: Taking taylor expansion of E in x 1.108 * [approximate]: Taking taylor expansion of (pow E (log (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))))) in (x) around 0 1.108 * [taylor]: Taking taylor expansion of (pow E (log (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))))) in x 1.108 * [taylor]: Taking taylor expansion of (exp (* (log (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))))) (log E))) in x 1.108 * [taylor]: Taking taylor expansion of (* (log (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))))) (log E)) in x 1.108 * [taylor]: Taking taylor expansion of (log (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))))) in x 1.108 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 1.108 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 1.108 * [taylor]: Taking taylor expansion of 1/2 in x 1.108 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.108 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.108 * [taylor]: Taking taylor expansion of x in x 1.108 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 1.108 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.108 * [taylor]: Taking taylor expansion of x in x 1.109 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 1.109 * [taylor]: Taking taylor expansion of 1/6 in x 1.109 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.109 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.109 * [taylor]: Taking taylor expansion of x in x 1.110 * [taylor]: Taking taylor expansion of (log E) in x 1.110 * [taylor]: Taking taylor expansion of E in x 1.111 * [taylor]: Taking taylor expansion of (pow E (log (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))))) in x 1.111 * [taylor]: Taking taylor expansion of (exp (* (log (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))))) (log E))) in x 1.111 * [taylor]: Taking taylor expansion of (* (log (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))))) (log E)) in x 1.111 * [taylor]: Taking taylor expansion of (log (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))))) in x 1.111 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 1.111 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 1.111 * [taylor]: Taking taylor expansion of 1/2 in x 1.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.111 * [taylor]: Taking taylor expansion of x in x 1.112 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 1.112 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.112 * [taylor]: Taking taylor expansion of x in x 1.112 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 1.112 * [taylor]: Taking taylor expansion of 1/6 in x 1.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.112 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.112 * [taylor]: Taking taylor expansion of x in x 1.118 * [taylor]: Taking taylor expansion of (log E) in x 1.118 * [taylor]: Taking taylor expansion of E in x 1.135 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2 1) 1.135 * [approximate]: Taking taylor expansion of (* 1/6 x) in (x) around 0 1.135 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 1.135 * [taylor]: Taking taylor expansion of 1/6 in x 1.135 * [taylor]: Taking taylor expansion of x in x 1.135 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 1.135 * [taylor]: Taking taylor expansion of 1/6 in x 1.136 * [taylor]: Taking taylor expansion of x in x 1.140 * [approximate]: Taking taylor expansion of (/ 1/6 x) in (x) around 0 1.140 * [taylor]: Taking taylor expansion of (/ 1/6 x) in x 1.140 * [taylor]: Taking taylor expansion of 1/6 in x 1.140 * [taylor]: Taking taylor expansion of x in x 1.141 * [taylor]: Taking taylor expansion of (/ 1/6 x) in x 1.141 * [taylor]: Taking taylor expansion of 1/6 in x 1.141 * [taylor]: Taking taylor expansion of x in x 1.144 * [approximate]: Taking taylor expansion of (/ -1/6 x) in (x) around 0 1.144 * [taylor]: Taking taylor expansion of (/ -1/6 x) in x 1.144 * [taylor]: Taking taylor expansion of -1/6 in x 1.144 * [taylor]: Taking taylor expansion of x in x 1.144 * [taylor]: Taking taylor expansion of (/ -1/6 x) in x 1.144 * [taylor]: Taking taylor expansion of -1/6 in x 1.144 * [taylor]: Taking taylor expansion of x in x 1.148 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 1.148 * [approximate]: Taking taylor expansion of (* (pow x 2) (+ (* 1/6 x) 1/2)) in (x) around 0 1.148 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 1/6 x) 1/2)) in x 1.148 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.148 * [taylor]: Taking taylor expansion of x in x 1.148 * [taylor]: Taking taylor expansion of (+ (* 1/6 x) 1/2) in x 1.148 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 1.148 * [taylor]: Taking taylor expansion of 1/6 in x 1.148 * [taylor]: Taking taylor expansion of x in x 1.148 * [taylor]: Taking taylor expansion of 1/2 in x 1.148 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 1/6 x) 1/2)) in x 1.148 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.148 * [taylor]: Taking taylor expansion of x in x 1.148 * [taylor]: Taking taylor expansion of (+ (* 1/6 x) 1/2) in x 1.148 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 1.148 * [taylor]: Taking taylor expansion of 1/6 in x 1.148 * [taylor]: Taking taylor expansion of x in x 1.148 * [taylor]: Taking taylor expansion of 1/2 in x 1.165 * [approximate]: Taking taylor expansion of (/ (+ 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in (x) around 0 1.165 * [taylor]: Taking taylor expansion of (/ (+ 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 1.165 * [taylor]: Taking taylor expansion of (+ 1/2 (* 1/6 (/ 1 x))) in x 1.165 * [taylor]: Taking taylor expansion of 1/2 in x 1.165 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 1.165 * [taylor]: Taking taylor expansion of 1/6 in x 1.165 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.165 * [taylor]: Taking taylor expansion of x in x 1.165 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.165 * [taylor]: Taking taylor expansion of x in x 1.166 * [taylor]: Taking taylor expansion of (/ (+ 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 1.166 * [taylor]: Taking taylor expansion of (+ 1/2 (* 1/6 (/ 1 x))) in x 1.166 * [taylor]: Taking taylor expansion of 1/2 in x 1.166 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 1.166 * [taylor]: Taking taylor expansion of 1/6 in x 1.166 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.166 * [taylor]: Taking taylor expansion of x in x 1.166 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.166 * [taylor]: Taking taylor expansion of x in x 1.184 * [approximate]: Taking taylor expansion of (/ (- 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in (x) around 0 1.184 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 1.184 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/6 (/ 1 x))) in x 1.184 * [taylor]: Taking taylor expansion of 1/2 in x 1.184 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 1.184 * [taylor]: Taking taylor expansion of 1/6 in x 1.184 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.184 * [taylor]: Taking taylor expansion of x in x 1.185 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.185 * [taylor]: Taking taylor expansion of x in x 1.186 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 1.186 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/6 (/ 1 x))) in x 1.186 * [taylor]: Taking taylor expansion of 1/2 in x 1.186 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 1.186 * [taylor]: Taking taylor expansion of 1/6 in x 1.186 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.186 * [taylor]: Taking taylor expansion of x in x 1.186 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.186 * [taylor]: Taking taylor expansion of x in x 1.211 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.212 * [approximate]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) in (x) around 0 1.212 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) in x 1.212 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 1.212 * [taylor]: Taking taylor expansion of 1/2 in x 1.212 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.212 * [taylor]: Taking taylor expansion of x in x 1.212 * [taylor]: Taking taylor expansion of (+ (* 1/6 (pow x 3)) x) in x 1.212 * [taylor]: Taking taylor expansion of (* 1/6 (pow x 3)) in x 1.212 * [taylor]: Taking taylor expansion of 1/6 in x 1.212 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.212 * [taylor]: Taking taylor expansion of x in x 1.212 * [taylor]: Taking taylor expansion of x in x 1.212 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) in x 1.212 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 1.212 * [taylor]: Taking taylor expansion of 1/2 in x 1.212 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.212 * [taylor]: Taking taylor expansion of x in x 1.212 * [taylor]: Taking taylor expansion of (+ (* 1/6 (pow x 3)) x) in x 1.212 * [taylor]: Taking taylor expansion of (* 1/6 (pow x 3)) in x 1.212 * [taylor]: Taking taylor expansion of 1/6 in x 1.212 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.212 * [taylor]: Taking taylor expansion of x in x 1.212 * [taylor]: Taking taylor expansion of x in x 1.216 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in (x) around 0 1.216 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 1.216 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 1.216 * [taylor]: Taking taylor expansion of 1/2 in x 1.216 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.216 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.216 * [taylor]: Taking taylor expansion of x in x 1.216 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 1.216 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.216 * [taylor]: Taking taylor expansion of x in x 1.217 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 1.217 * [taylor]: Taking taylor expansion of 1/6 in x 1.217 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.217 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.217 * [taylor]: Taking taylor expansion of x in x 1.217 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 1.217 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 1.217 * [taylor]: Taking taylor expansion of 1/2 in x 1.217 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.217 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.217 * [taylor]: Taking taylor expansion of x in x 1.218 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 1.218 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.218 * [taylor]: Taking taylor expansion of x in x 1.218 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 1.218 * [taylor]: Taking taylor expansion of 1/6 in x 1.218 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.218 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.218 * [taylor]: Taking taylor expansion of x in x 1.225 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in (x) around 0 1.225 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 1.225 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 1.225 * [taylor]: Taking taylor expansion of 1/2 in x 1.225 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.225 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.225 * [taylor]: Taking taylor expansion of x in x 1.226 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 1.226 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.226 * [taylor]: Taking taylor expansion of x in x 1.226 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 1.226 * [taylor]: Taking taylor expansion of 1/6 in x 1.226 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.226 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.226 * [taylor]: Taking taylor expansion of x in x 1.226 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 1.227 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 1.227 * [taylor]: Taking taylor expansion of 1/2 in x 1.227 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.227 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.227 * [taylor]: Taking taylor expansion of x in x 1.227 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 1.227 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.227 * [taylor]: Taking taylor expansion of x in x 1.227 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 1.227 * [taylor]: Taking taylor expansion of 1/6 in x 1.227 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.227 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.227 * [taylor]: Taking taylor expansion of x in x 1.235 * * * [progress]: simplifying candidates 1.236 * [simplify]: Simplifying using # : (* 1 (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (* (log E) (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (* (log E) (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (* 1 (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (pow E (log (+ (pow (* (pow x 2) (+ (* x 1/6) 1/2)) 3) (pow x 3)))) (pow E (log (+ (* (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2))) (- (* x x) (* (* (pow x 2) (+ (* x 1/6) 1/2)) x))))) (pow E (log (- (* (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2))) (* x x)))) (pow E (log (- (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (pow E 1) (pow E (* (cbrt (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (cbrt (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))))) (pow E (sqrt (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (pow E 1) (pow E (log (* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))))) (pow E (log (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (pow E (log (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (pow E (log (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (pow E (log 1)) (pow E (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (pow (* (cbrt E) (cbrt E)) (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (pow (cbrt E) (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (pow (sqrt E) (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (pow (sqrt E) (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (pow 1 (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (pow E (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (log (pow E (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (exp (pow E (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (* (cbrt (pow E (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (cbrt (pow E (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))))) (cbrt (pow E (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (* (* (pow E (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (pow E (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (pow E (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (sqrt (pow E (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (sqrt (pow E (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (pow E (/ (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) 2)) (pow E (/ (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) 2)) (* x 1/6) (+ (log x) (log 1/6)) (log (* x 1/6)) (exp (* x 1/6)) (* (* (* x x) x) (* (* 1/6 1/6) 1/6)) (* (cbrt (* x 1/6)) (cbrt (* x 1/6))) (cbrt (* x 1/6)) (* (* (* x 1/6) (* x 1/6)) (* x 1/6)) (sqrt (* x 1/6)) (sqrt (* x 1/6)) (* (sqrt x) (sqrt 1/6)) (* (sqrt x) (sqrt 1/6)) (* x (* (cbrt 1/6) (cbrt 1/6))) (* x (sqrt 1/6)) (* x 1) (* (cbrt x) 1/6) (* (sqrt x) 1/6) (* x 1/6) (+ (* (log x) 2) (log (+ (* x 1/6) 1/2))) (+ (* (log x) 2) (log (+ (* x 1/6) 1/2))) (+ (log (pow x 2)) (log (+ (* x 1/6) 1/2))) (log (* (pow x 2) (+ (* x 1/6) 1/2))) (exp (* (pow x 2) (+ (* x 1/6) 1/2))) (* (* (* (pow x 2) (pow x 2)) (pow x 2)) (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (+ (* x 1/6) 1/2))) (* (cbrt (* (pow x 2) (+ (* x 1/6) 1/2))) (cbrt (* (pow x 2) (+ (* x 1/6) 1/2)))) (cbrt (* (pow x 2) (+ (* x 1/6) 1/2))) (* (* (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2))) (* (pow x 2) (+ (* x 1/6) 1/2))) (sqrt (* (pow x 2) (+ (* x 1/6) 1/2))) (sqrt (* (pow x 2) (+ (* x 1/6) 1/2))) (* (pow (sqrt x) 2) (sqrt (+ (* x 1/6) 1/2))) (* (pow (sqrt x) 2) (sqrt (+ (* x 1/6) 1/2))) (* x (sqrt (+ (* x 1/6) 1/2))) (* x (sqrt (+ (* x 1/6) 1/2))) (* (sqrt (pow x 2)) (sqrt (+ (* x 1/6) 1/2))) (* (sqrt (pow x 2)) (sqrt (+ (* x 1/6) 1/2))) (* (pow x (/ 2 2)) (sqrt (+ (* x 1/6) 1/2))) (* (pow x (/ 2 2)) (sqrt (+ (* x 1/6) 1/2))) (* (pow x 2) (* x 1/6)) (* (pow x 2) 1/2) (* (* x 1/6) (pow x 2)) (* 1/2 (pow x 2)) (* (pow x 2) (* (cbrt (+ (* x 1/6) 1/2)) (cbrt (+ (* x 1/6) 1/2)))) (* (pow x 2) (sqrt (+ (* x 1/6) 1/2))) (* (pow x 2) 1) (* (pow (cbrt x) 2) (+ (* x 1/6) 1/2)) (* (pow (sqrt x) 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2)) (* x (+ (* x 1/6) 1/2)) (* (cbrt (pow x 2)) (+ (* x 1/6) 1/2)) (* (sqrt (pow x 2)) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x (/ 2 2)) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (pow (* x 1/6) 3) (pow 1/2 3))) (* (pow x 2) (- (* (* x 1/6) (* x 1/6)) (* 1/2 1/2))) (* (exp (* (pow x 2) (+ (* x 1/6) 1/2))) (exp x)) (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (exp (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (* (* (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (+ (pow (* (pow x 2) (+ (* x 1/6) 1/2)) 3) (pow x 3)) (+ (* (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2))) (- (* x x) (* (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (- (* (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2))) (* x x)) (- (* (pow x 2) (+ (* x 1/6) 1/2)) x) (+ (* (pow x 2) 1/2) x) (+ (* 1/2 (pow x 2)) x) (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) (+ (* 6 (/ (exp (- (log 1/6) (* 3 (log (/ 1 x))))) (pow x 2))) (+ (* 3 (/ (exp (- (log 1/6) (* 3 (log (/ 1 x))))) x)) (exp (- (log 1/6) (* 3 (log (/ 1 x))))))) (+ (* 6 (/ (exp (- (log -1/6) (* 3 (log (/ -1 x))))) (pow x 2))) (+ (* 3 (/ (exp (- (log -1/6) (* 3 (log (/ -1 x))))) x)) (exp (- (log -1/6) (* 3 (log (/ -1 x))))))) (* 1/6 x) (* 1/6 x) (* 1/6 x) (+ (* 1/2 (pow x 2)) (* 1/6 (pow x 3))) (+ (* 1/2 (pow x 2)) (* 1/6 (pow x 3))) (+ (* 1/2 (pow x 2)) (* 1/6 (pow x 3))) (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) (+ (* 1/2 (pow x 2)) (+ x (* 1/6 (pow x 3)))) (+ (* 1/2 (pow x 2)) (+ x (* 1/6 (pow x 3)))) 1.236 * [simplify]: Sending expressions to egg_math: (* 1 (log (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0))) (* (log E) (log (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0))) (* (log E) (log (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0))) (* 1 (log (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0))) (pow E (log (+ (pow (* (pow h0 2) (+ (* h0 1/6) 1/2)) 3) (pow h0 3)))) (pow E (log (+ (* (* (pow h0 2) (+ (* h0 1/6) 1/2)) (* (pow h0 2) (+ (* h0 1/6) 1/2))) (- (* h0 h0) (* (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0))))) (pow E (log (- (* (* (pow h0 2) (+ (* h0 1/6) 1/2)) (* (pow h0 2) (+ (* h0 1/6) 1/2))) (* h0 h0)))) (pow E (log (- (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0))) (pow E 1) (pow E (* (cbrt (log (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0))) (cbrt (log (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0))))) (pow E (sqrt (log (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)))) (pow E 1) (pow E (log (* (cbrt (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)) (cbrt (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0))))) (pow E (log (cbrt (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)))) (pow E (log (sqrt (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)))) (pow E (log (sqrt (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)))) (pow E (log 1)) (pow E (log (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0))) (pow (* (cbrt E) (cbrt E)) (log (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0))) (pow (cbrt E) (log (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0))) (pow (sqrt E) (log (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0))) (pow (sqrt E) (log (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0))) (pow 1 (log (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0))) (pow E (log (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0))) (log (pow E (log (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)))) (exp (pow E (log (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)))) (* (cbrt (pow E (log (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)))) (cbrt (pow E (log (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0))))) (cbrt (pow E (log (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)))) (* (* (pow E (log (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0))) (pow E (log (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)))) (pow E (log (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)))) (sqrt (pow E (log (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)))) (sqrt (pow E (log (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)))) (pow E (/ (log (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)) 2)) (pow E (/ (log (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)) 2)) (* h0 1/6) (+ (log h0) (log 1/6)) (log (* h0 1/6)) (exp (* h0 1/6)) (* (* (* h0 h0) h0) (* (* 1/6 1/6) 1/6)) (* (cbrt (* h0 1/6)) (cbrt (* h0 1/6))) (cbrt (* h0 1/6)) (* (* (* h0 1/6) (* h0 1/6)) (* h0 1/6)) (sqrt (* h0 1/6)) (sqrt (* h0 1/6)) (* (sqrt h0) (sqrt 1/6)) (* (sqrt h0) (sqrt 1/6)) (* h0 (* (cbrt 1/6) (cbrt 1/6))) (* h0 (sqrt 1/6)) (* h0 1) (* (cbrt h0) 1/6) (* (sqrt h0) 1/6) (* h0 1/6) (+ (* (log h0) 2) (log (+ (* h0 1/6) 1/2))) (+ (* (log h0) 2) (log (+ (* h0 1/6) 1/2))) (+ (log (pow h0 2)) (log (+ (* h0 1/6) 1/2))) (log (* (pow h0 2) (+ (* h0 1/6) 1/2))) (exp (* (pow h0 2) (+ (* h0 1/6) 1/2))) (* (* (* (pow h0 2) (pow h0 2)) (pow h0 2)) (* (* (+ (* h0 1/6) 1/2) (+ (* h0 1/6) 1/2)) (+ (* h0 1/6) 1/2))) (* (cbrt (* (pow h0 2) (+ (* h0 1/6) 1/2))) (cbrt (* (pow h0 2) (+ (* h0 1/6) 1/2)))) (cbrt (* (pow h0 2) (+ (* h0 1/6) 1/2))) (* (* (* (pow h0 2) (+ (* h0 1/6) 1/2)) (* (pow h0 2) (+ (* h0 1/6) 1/2))) (* (pow h0 2) (+ (* h0 1/6) 1/2))) (sqrt (* (pow h0 2) (+ (* h0 1/6) 1/2))) (sqrt (* (pow h0 2) (+ (* h0 1/6) 1/2))) (* (pow (sqrt h0) 2) (sqrt (+ (* h0 1/6) 1/2))) (* (pow (sqrt h0) 2) (sqrt (+ (* h0 1/6) 1/2))) (* h0 (sqrt (+ (* h0 1/6) 1/2))) (* h0 (sqrt (+ (* h0 1/6) 1/2))) (* (sqrt (pow h0 2)) (sqrt (+ (* h0 1/6) 1/2))) (* (sqrt (pow h0 2)) (sqrt (+ (* h0 1/6) 1/2))) (* (pow h0 (/ 2 2)) (sqrt (+ (* h0 1/6) 1/2))) (* (pow h0 (/ 2 2)) (sqrt (+ (* h0 1/6) 1/2))) (* (pow h0 2) (* h0 1/6)) (* (pow h0 2) 1/2) (* (* h0 1/6) (pow h0 2)) (* 1/2 (pow h0 2)) (* (pow h0 2) (* (cbrt (+ (* h0 1/6) 1/2)) (cbrt (+ (* h0 1/6) 1/2)))) (* (pow h0 2) (sqrt (+ (* h0 1/6) 1/2))) (* (pow h0 2) 1) (* (pow (cbrt h0) 2) (+ (* h0 1/6) 1/2)) (* (pow (sqrt h0) 2) (+ (* h0 1/6) 1/2)) (* (pow h0 2) (+ (* h0 1/6) 1/2)) (* h0 (+ (* h0 1/6) 1/2)) (* (cbrt (pow h0 2)) (+ (* h0 1/6) 1/2)) (* (sqrt (pow h0 2)) (+ (* h0 1/6) 1/2)) (* (pow h0 2) (+ (* h0 1/6) 1/2)) (* (pow h0 (/ 2 2)) (+ (* h0 1/6) 1/2)) (* (pow h0 2) (+ (pow (* h0 1/6) 3) (pow 1/2 3))) (* (pow h0 2) (- (* (* h0 1/6) (* h0 1/6)) (* 1/2 1/2))) (* (exp (* (pow h0 2) (+ (* h0 1/6) 1/2))) (exp h0)) (log (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)) (exp (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)) (* (cbrt (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)) (cbrt (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0))) (cbrt (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)) (* (* (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0) (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)) (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)) (sqrt (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)) (sqrt (+ (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0)) (+ (pow (* (pow h0 2) (+ (* h0 1/6) 1/2)) 3) (pow h0 3)) (+ (* (* (pow h0 2) (+ (* h0 1/6) 1/2)) (* (pow h0 2) (+ (* h0 1/6) 1/2))) (- (* h0 h0) (* (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0))) (- (* (* (pow h0 2) (+ (* h0 1/6) 1/2)) (* (pow h0 2) (+ (* h0 1/6) 1/2))) (* h0 h0)) (- (* (pow h0 2) (+ (* h0 1/6) 1/2)) h0) (+ (* (pow h0 2) 1/2) h0) (+ (* 1/2 (pow h0 2)) h0) (+ (* 1/2 (pow h0 2)) (+ (* 1/6 (pow h0 3)) h0)) (+ (* 6 (/ (exp (- (log 1/6) (* 3 (log (/ 1 h0))))) (pow h0 2))) (+ (* 3 (/ (exp (- (log 1/6) (* 3 (log (/ 1 h0))))) h0)) (exp (- (log 1/6) (* 3 (log (/ 1 h0))))))) (+ (* 6 (/ (exp (- (log -1/6) (* 3 (log (/ -1 h0))))) (pow h0 2))) (+ (* 3 (/ (exp (- (log -1/6) (* 3 (log (/ -1 h0))))) h0)) (exp (- (log -1/6) (* 3 (log (/ -1 h0))))))) (* 1/6 h0) (* 1/6 h0) (* 1/6 h0) (+ (* 1/2 (pow h0 2)) (* 1/6 (pow h0 3))) (+ (* 1/2 (pow h0 2)) (* 1/6 (pow h0 3))) (+ (* 1/2 (pow h0 2)) (* 1/6 (pow h0 3))) (+ (* 1/2 (pow h0 2)) (+ (* 1/6 (pow h0 3)) h0)) (+ (* 1/2 (pow h0 2)) (+ h0 (* 1/6 (pow h0 3)))) (+ (* 1/2 (pow h0 2)) (+ h0 (* 1/6 (pow h0 3)))) 1.242 * * [simplify]: iteration 0 : 467 enodes (cost 683 ) 1.251 * * [simplify]: iteration 1 : 2055 enodes (cost 647 ) 1.295 * * [simplify]: iteration 2 : 5001 enodes (cost 641 ) 1.298 * [simplify]: Simplified to: (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (pow E (log (+ (pow (* (pow x 2) (+ (* x 1/6) 1/2)) 3) (pow x 3)))) (pow E (log (+ (* (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2))) (- (* x x) (* (* (pow x 2) (+ (* x 1/6) 1/2)) x))))) (pow E (log (- (* (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2))) (* x x)))) (pow E (log (- (* (pow x 2) (+ (* x 1/6) 1/2)) x))) E (pow E (* (cbrt (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (cbrt (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))))) (pow E (sqrt (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) E (pow E (* 2 (* 1 (/ (log (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) 1)))) (pow E (log (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (pow E (log (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (pow E (log (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) 1 (pow E (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (pow (* (cbrt E) (cbrt E)) (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (pow (cbrt E) (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (pow (sqrt E) (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (pow (sqrt E) (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) 1 (pow E (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (exp (pow E (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (* (cbrt (pow E (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (cbrt (pow E (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))))) (cbrt (pow E (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (pow (pow E (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) 3) (sqrt (pow E (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (sqrt (pow E (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (pow E (/ (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) 2)) (pow E (/ (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) 2)) (* x 1/6) (log (* x 1/6)) (log (* x 1/6)) (exp (* x 1/6)) (pow (* x 1/6) 3) (* (cbrt (* x 1/6)) (cbrt (* x 1/6))) (cbrt (* x 1/6)) (pow (* x 1/6) 3) (sqrt (* x 1/6)) (sqrt (* x 1/6)) (* (sqrt x) (sqrt 1/6)) (* (sqrt x) (sqrt 1/6)) (* x (* (cbrt 1/6) (cbrt 1/6))) (* x (sqrt 1/6)) x (* (cbrt x) 1/6) (* (sqrt x) 1/6) (* x 1/6) (log (* (pow x 2) (+ (* x 1/6) 1/2))) (log (* (pow x 2) (+ (* x 1/6) 1/2))) (log (* (pow x 2) (+ (* x 1/6) 1/2))) (log (* (pow x 2) (+ (* x 1/6) 1/2))) (exp (* (pow x 2) (+ (* x 1/6) 1/2))) (pow (* (pow x 2) (+ (* x 1/6) 1/2)) 3) (* (cbrt (* (pow x 2) (+ (* x 1/6) 1/2))) (cbrt (* (pow x 2) (+ (* x 1/6) 1/2)))) (cbrt (* (pow x 2) (+ (* x 1/6) 1/2))) (pow (* (pow x 2) (+ (* x 1/6) 1/2)) 3) (sqrt (* (pow x 2) (+ (* x 1/6) 1/2))) (sqrt (* (pow x 2) (+ (* x 1/6) 1/2))) (* (sqrt (+ (* x 1/6) 1/2)) x) (* (sqrt (+ (* x 1/6) 1/2)) x) (* (sqrt (+ (* x 1/6) 1/2)) x) (* (sqrt (+ (* x 1/6) 1/2)) x) (* (sqrt (pow x 2)) (sqrt (+ (* x 1/6) 1/2))) (* (sqrt (pow x 2)) (sqrt (+ (* x 1/6) 1/2))) (* (sqrt (+ (* x 1/6) 1/2)) x) (* (sqrt (+ (* x 1/6) 1/2)) x) (* (pow x 3) 1/6) (* (pow x 2) 1/2) (* (pow x 3) 1/6) (* (pow x 2) 1/2) (* (pow x 2) (* (cbrt (+ (* x 1/6) 1/2)) (cbrt (+ (* x 1/6) 1/2)))) (* (pow x 2) (sqrt (+ (* x 1/6) 1/2))) (pow x 2) (* (pow (cbrt x) 2) (+ (* x 1/6) 1/2)) (* (+ (* x 1/6) 1/2) x) (* (pow x 2) (+ (* x 1/6) 1/2)) (* (+ (* x 1/6) 1/2) x) (* (cbrt (pow x 2)) (+ (* x 1/6) 1/2)) (* (fabs x) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2)) (* (+ (* x 1/6) 1/2) x) (* (pow x 2) (+ (pow (* x 1/6) 3) 1/8)) (* (pow x 2) (- (* (* x 1/6) (* x 1/6)) 1/4)) (exp (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (exp (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (pow (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) 3) (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (+ (pow (* (pow x 2) (+ (* x 1/6) 1/2)) 3) (pow x 3)) (- (+ (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (pow x 4)) (pow x 2)) (* (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (- (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (pow x 4)) (pow x 2)) (- (* (pow x 2) (+ (* x 1/6) 1/2)) x) (+ (* 1/2 (pow x 2)) x) (+ (* 1/2 (pow x 2)) x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (+ (* 6 (/ (exp (- (log 1/6) (* 3 (log (/ 1 x))))) (pow x 2))) (+ (* 3 (/ (exp (- (log 1/6) (* 3 (log (/ 1 x))))) x)) (exp (- (log 1/6) (* 3 (log (/ 1 x))))))) (+ (* 6 (/ (exp (- (log -1/6) (* 3 (log (/ -1 x))))) (pow x 2))) (+ (* 3 (/ (exp (- (log -1/6) (* 3 (log (/ -1 x))))) x)) (exp (- (log -1/6) (* 3 (log (/ -1 x))))))) (* x 1/6) (* x 1/6) (* x 1/6) (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2)) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) 1.299 * * * [progress]: adding candidates to table 1.521 * [progress]: [Phase 3 of 3] Extracting. 1.521 * * [regime]: Finding splitpoints for: (# # # #) 1.521 * * * [regime-changes]: Trying 3 branch expressions: ((exp x) (- (exp x) 1.0) x) 1.521 * * * * [regimes]: Trying to branch on (exp x) from (# # # #) 1.535 * * * * [regimes]: Trying to branch on (exp x) from (# #) 1.550 * * * * [regimes]: Trying to branch on (- (exp x) 1.0) from (# # # #) 1.565 * * * * [regimes]: Trying to branch on (- (exp x) 1.0) from (# #) 1.575 * * * * [regimes]: Trying to branch on x from (# # # #) 1.591 * * * [regime]: Found split indices: #