0.441 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.029 * * * [progress]: [2/2] Setting up program. 0.031 * [progress]: [Phase 2 of 3] Improving. 0.031 * [simplify]: Simplifying using # : (/ (- (exp x) 1.0) x) 0.033 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.035 * * [simplify]: iteration 1 : 13 enodes (cost 3 ) 0.036 * * [simplify]: iteration 2 : 15 enodes (cost 3 ) 0.037 * * [simplify]: iteration 3 : 15 enodes (cost 3 ) 0.037 * [simplify]: Simplified to: (/ (- (exp x) 1.0) x) 0.037 * * [progress]: iteration 1 / 4 0.037 * * * [progress]: picking best candidate 0.039 * * * * [pick]: Picked # 0.039 * * * [progress]: localizing error 0.043 * * * [progress]: generating rewritten candidates 0.043 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.047 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.059 * * * [progress]: generating series expansions 0.059 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.059 * [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 0.065 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in (x) around 0 0.065 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.065 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.065 * [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 0.073 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in (x) around 0 0.074 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.074 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.074 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.074 * [taylor]: Taking taylor expansion of -1 in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of 1.0 in x 0.074 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.074 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.074 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.074 * [taylor]: Taking taylor expansion of -1 in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of 1.0 in x 0.078 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.078 * [approximate]: Taking taylor expansion of (/ (- (exp x) 1.0) x) in (x) around 0 0.078 * [taylor]: Taking taylor expansion of (/ (- (exp x) 1.0) x) in x 0.078 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.078 * [taylor]: Taking taylor expansion of (exp x) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of 1.0 in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (/ (- (exp x) 1.0) x) in x 0.080 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.080 * [taylor]: Taking taylor expansion of (exp x) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of 1.0 in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.087 * [approximate]: Taking taylor expansion of (* x (- (exp (/ 1 x)) 1.0)) in (x) around 0 0.087 * [taylor]: Taking taylor expansion of (* x (- (exp (/ 1 x)) 1.0)) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.087 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of 1.0 in x 0.087 * [taylor]: Taking taylor expansion of (* x (- (exp (/ 1 x)) 1.0)) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.087 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [approximate]: Taking taylor expansion of (* -1 (* x (- (exp (/ -1 x)) 1.0))) in (x) around 0 0.098 * [taylor]: Taking taylor expansion of (* -1 (* x (- (exp (/ -1 x)) 1.0))) in x 0.098 * [taylor]: Taking taylor expansion of -1 in x 0.098 * [taylor]: Taking taylor expansion of (* x (- (exp (/ -1 x)) 1.0)) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.098 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.098 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.098 * [taylor]: Taking taylor expansion of -1 in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of 1.0 in x 0.099 * [taylor]: Taking taylor expansion of (* -1 (* x (- (exp (/ -1 x)) 1.0))) in x 0.099 * [taylor]: Taking taylor expansion of -1 in x 0.099 * [taylor]: Taking taylor expansion of (* x (- (exp (/ -1 x)) 1.0)) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.099 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.099 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.099 * [taylor]: Taking taylor expansion of -1 in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of 1.0 in x 0.117 * * * [progress]: simplifying candidates 0.118 * [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) (- (log (- (exp x) 1.0)) (log x)) (log (/ (- (exp x) 1.0) x)) (exp (/ (- (exp x) 1.0) x)) (/ (* (* (- (exp x) 1.0) (- (exp x) 1.0)) (- (exp x) 1.0)) (* (* x x) x)) (* (cbrt (/ (- (exp x) 1.0) x)) (cbrt (/ (- (exp x) 1.0) x))) (cbrt (/ (- (exp x) 1.0) x)) (* (* (/ (- (exp x) 1.0) x) (/ (- (exp x) 1.0) x)) (/ (- (exp x) 1.0) x)) (sqrt (/ (- (exp x) 1.0) x)) (sqrt (/ (- (exp x) 1.0) x)) (- (- (exp x) 1.0)) (- x) (/ (exp x) x) (/ 1.0 x) (/ (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0))) (* (cbrt x) (cbrt x))) (/ (cbrt (- (exp x) 1.0)) (cbrt x)) (/ (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0))) (sqrt x)) (/ (cbrt (- (exp x) 1.0)) (sqrt x)) (/ (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0))) 1) (/ (cbrt (- (exp x) 1.0)) x) (/ (sqrt (- (exp x) 1.0)) (* (cbrt x) (cbrt x))) (/ (sqrt (- (exp x) 1.0)) (cbrt x)) (/ (sqrt (- (exp x) 1.0)) (sqrt x)) (/ (sqrt (- (exp x) 1.0)) (sqrt x)) (/ (sqrt (- (exp x) 1.0)) 1) (/ (sqrt (- (exp x) 1.0)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- (exp x) 1.0) (cbrt x)) (/ 1 (sqrt x)) (/ (- (exp x) 1.0) (sqrt x)) (/ 1 1) (/ (- (exp x) 1.0) x) (/ (+ (sqrt (exp x)) (sqrt 1.0)) (* (cbrt x) (cbrt x))) (/ (- (sqrt (exp x)) (sqrt 1.0)) (cbrt x)) (/ (+ (sqrt (exp x)) (sqrt 1.0)) (sqrt x)) (/ (- (sqrt (exp x)) (sqrt 1.0)) (sqrt x)) (/ (+ (sqrt (exp x)) (sqrt 1.0)) 1) (/ (- (sqrt (exp x)) (sqrt 1.0)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- (exp x) 1.0) (cbrt x)) (/ 1 (sqrt x)) (/ (- (exp x) 1.0) (sqrt x)) (/ 1 1) (/ (- (exp x) 1.0) x) (/ 1 x) (/ x (- (exp x) 1.0)) (/ (- (exp x) 1.0) (* (cbrt x) (cbrt x))) (/ (- (exp x) 1.0) (sqrt x)) (/ (- (exp x) 1.0) 1) (/ x (cbrt (- (exp x) 1.0))) (/ x (sqrt (- (exp x) 1.0))) (/ x (- (exp x) 1.0)) (/ x (- (sqrt (exp x)) (sqrt 1.0))) (/ x (- (exp x) 1.0)) (* x (+ (* (exp x) (exp x)) (+ (* 1.0 1.0) (* (exp x) 1.0)))) (* x (+ (exp x) 1.0)) (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) (- (exp x) 1.0) (- (exp x) 1.0) (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1)) (/ (- (exp x) 1.0) x) (* -1 (/ (- 1.0 (exp x)) x)) 0.122 * * [simplify]: iteration 0 : 222 enodes (cost 329 ) 0.126 * * [simplify]: iteration 1 : 625 enodes (cost 311 ) 0.138 * * [simplify]: iteration 2 : 2739 enodes (cost 309 ) 0.191 * * [simplify]: iteration 3 : 5001 enodes (cost 309 ) 0.192 * [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))) (- 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) (log (/ (- (exp x) 1.0) x)) (log (/ (- (exp x) 1.0) x)) (exp (/ (- (exp x) 1.0) x)) (pow (/ (- (exp x) 1.0) x) 3) (* (cbrt (/ (- (exp x) 1.0) x)) (cbrt (/ (- (exp x) 1.0) x))) (cbrt (/ (- (exp x) 1.0) x)) (pow (/ (- (exp x) 1.0) x) 3) (sqrt (/ (- (exp x) 1.0) x)) (sqrt (/ (- (exp x) 1.0) x)) (- 1.0 (exp x)) (- x) (/ (exp x) x) (/ 1.0 x) (/ (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0))) (* (cbrt x) (cbrt x))) (/ (cbrt (- (exp x) 1.0)) (cbrt x)) (/ (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0))) (sqrt x)) (/ (cbrt (- (exp x) 1.0)) (sqrt x)) (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0))) (/ (cbrt (- (exp x) 1.0)) x) (/ (sqrt (- (exp x) 1.0)) (* (cbrt x) (cbrt x))) (/ (sqrt (- (exp x) 1.0)) (cbrt x)) (/ (sqrt (- (exp x) 1.0)) (sqrt x)) (/ (sqrt (- (exp x) 1.0)) (sqrt x)) (sqrt (- (exp x) 1.0)) (/ (sqrt (- (exp x) 1.0)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- (exp x) 1.0) (cbrt x)) (/ 1 (sqrt x)) (/ (- (exp x) 1.0) (sqrt x)) 1 (/ (- (exp x) 1.0) x) (/ (+ (sqrt (exp x)) (sqrt 1.0)) (* (cbrt x) (cbrt x))) (/ (- (sqrt (exp x)) (sqrt 1.0)) (cbrt x)) (/ (+ (sqrt (exp x)) (sqrt 1.0)) (sqrt x)) (/ (- (sqrt (exp x)) (sqrt 1.0)) (sqrt x)) (+ (sqrt (exp x)) (sqrt 1.0)) (/ (- (sqrt (exp x)) (sqrt 1.0)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- (exp x) 1.0) (cbrt x)) (/ 1 (sqrt x)) (/ (- (exp x) 1.0) (sqrt x)) 1 (/ (- (exp x) 1.0) x) (/ 1 x) (/ x (- (exp x) 1.0)) (/ (- (exp x) 1.0) (* (cbrt x) (cbrt x))) (/ (- (exp x) 1.0) (sqrt x)) (- (exp x) 1.0) (/ x (cbrt (- (exp x) 1.0))) (/ x (sqrt (- (exp x) 1.0))) (/ x (- (exp x) 1.0)) (/ x (- (sqrt (exp x)) (sqrt 1.0))) (/ x (- (exp x) 1.0)) (* (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))) x) (* x (+ (exp x) 1.0)) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (- (exp x) 1.0) (- (exp x) 1.0) (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1)) (/ (- (exp x) 1.0) x) (* -1 (/ (- 1.0 (exp x)) x)) 0.193 * * * [progress]: adding candidates to table 0.303 * * [progress]: iteration 2 / 4 0.303 * * * [progress]: picking best candidate 0.307 * * * * [pick]: Picked # 0.307 * * * [progress]: localizing error 0.318 * * * [progress]: generating rewritten candidates 0.318 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.324 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.333 * * * [progress]: generating series expansions 0.333 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.333 * [approximate]: Taking taylor expansion of (* 1/6 (pow x 2)) in (x) around 0 0.333 * [taylor]: Taking taylor expansion of (* 1/6 (pow x 2)) in x 0.333 * [taylor]: Taking taylor expansion of 1/6 in x 0.334 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of (* 1/6 (pow x 2)) in x 0.334 * [taylor]: Taking taylor expansion of 1/6 in x 0.334 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.342 * [approximate]: Taking taylor expansion of (/ 1/6 (pow x 2)) in (x) around 0 0.342 * [taylor]: Taking taylor expansion of (/ 1/6 (pow x 2)) in x 0.342 * [taylor]: Taking taylor expansion of 1/6 in x 0.342 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of (/ 1/6 (pow x 2)) in x 0.343 * [taylor]: Taking taylor expansion of 1/6 in x 0.343 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.350 * [approximate]: Taking taylor expansion of (/ 1/6 (pow x 2)) in (x) around 0 0.350 * [taylor]: Taking taylor expansion of (/ 1/6 (pow x 2)) in x 0.350 * [taylor]: Taking taylor expansion of 1/6 in x 0.350 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of (/ 1/6 (pow x 2)) in x 0.351 * [taylor]: Taking taylor expansion of 1/6 in x 0.351 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.358 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.358 * [approximate]: Taking taylor expansion of (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1)) in (x) around 0 0.358 * [taylor]: Taking taylor expansion of (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1)) in x 0.358 * [taylor]: Taking taylor expansion of (* 1/6 (pow x 2)) in x 0.358 * [taylor]: Taking taylor expansion of 1/6 in x 0.358 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [taylor]: Taking taylor expansion of (+ (* 1/2 x) 1) in x 0.358 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.358 * [taylor]: Taking taylor expansion of 1/2 in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [taylor]: Taking taylor expansion of 1 in x 0.358 * [taylor]: Taking taylor expansion of (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1)) in x 0.358 * [taylor]: Taking taylor expansion of (* 1/6 (pow x 2)) in x 0.358 * [taylor]: Taking taylor expansion of 1/6 in x 0.358 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [taylor]: Taking taylor expansion of (+ (* 1/2 x) 1) in x 0.358 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.358 * [taylor]: Taking taylor expansion of 1/2 in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [taylor]: Taking taylor expansion of 1 in x 0.362 * [approximate]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow x 2))) (+ (* 1/2 (/ 1 x)) 1)) in (x) around 0 0.362 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow x 2))) (+ (* 1/2 (/ 1 x)) 1)) in x 0.362 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 2))) in x 0.362 * [taylor]: Taking taylor expansion of 1/6 in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.362 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.362 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 x)) 1) in x 0.362 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.362 * [taylor]: Taking taylor expansion of 1/2 in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.363 * [taylor]: Taking taylor expansion of 1 in x 0.363 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow x 2))) (+ (* 1/2 (/ 1 x)) 1)) in x 0.363 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 2))) in x 0.363 * [taylor]: Taking taylor expansion of 1/6 in x 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.363 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.363 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 x)) 1) in x 0.363 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.363 * [taylor]: Taking taylor expansion of 1/2 in x 0.363 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of 1 in x 0.369 * [approximate]: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (pow x 2))) 1) (* 1/2 (/ 1 x))) in (x) around 0 0.369 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (pow x 2))) 1) (* 1/2 (/ 1 x))) in x 0.369 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow x 2))) 1) in x 0.369 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 2))) in x 0.369 * [taylor]: Taking taylor expansion of 1/6 in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.369 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.370 * [taylor]: Taking taylor expansion of 1 in x 0.370 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.370 * [taylor]: Taking taylor expansion of 1/2 in x 0.370 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.370 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (pow x 2))) 1) (* 1/2 (/ 1 x))) in x 0.370 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow x 2))) 1) in x 0.370 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 2))) in x 0.370 * [taylor]: Taking taylor expansion of 1/6 in x 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.370 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.371 * [taylor]: Taking taylor expansion of 1 in x 0.371 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.371 * [taylor]: Taking taylor expansion of 1/2 in x 0.371 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.377 * * * [progress]: simplifying candidates 0.378 * [simplify]: Simplifying using # : (+ (log 1/6) (* (log x) 2)) (+ (log 1/6) (* (log x) 2)) (+ (log 1/6) (log (pow x 2))) (log (* 1/6 (pow x 2))) (exp (* 1/6 (pow x 2))) (* (* (* 1/6 1/6) 1/6) (* (* (pow x 2) (pow x 2)) (pow x 2))) (* (cbrt (* 1/6 (pow x 2))) (cbrt (* 1/6 (pow x 2)))) (cbrt (* 1/6 (pow x 2))) (* (* (* 1/6 (pow x 2)) (* 1/6 (pow x 2))) (* 1/6 (pow x 2))) (sqrt (* 1/6 (pow x 2))) (sqrt (* 1/6 (pow x 2))) (* (sqrt 1/6) (pow (sqrt x) 2)) (* (sqrt 1/6) (pow (sqrt x) 2)) (* (sqrt 1/6) x) (* (sqrt 1/6) x) (* (sqrt 1/6) (sqrt (pow x 2))) (* (sqrt 1/6) (sqrt (pow x 2))) (* (sqrt 1/6) (pow x (/ 2 2))) (* (sqrt 1/6) (pow x (/ 2 2))) (* 1/6 (pow (* (cbrt x) (cbrt x)) 2)) (* 1/6 (pow (sqrt x) 2)) (* 1/6 (pow 1 2)) (* 1/6 x) (* 1/6 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (* 1/6 (sqrt (pow x 2))) (* 1/6 1) (* 1/6 (pow x (/ 2 2))) (* (cbrt 1/6) (pow x 2)) (* (sqrt 1/6) (pow x 2)) (* 1/6 (pow x 2)) (* (exp (* 1/6 (pow x 2))) (* (exp (* 1/2 x)) (exp 1))) (* (exp (* 1/6 (pow x 2))) (exp (+ (* 1/2 x) 1))) (log (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))) (exp (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))) (* (cbrt (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))) (cbrt (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1)))) (cbrt (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))) (* (* (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1)) (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))) (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))) (sqrt (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))) (sqrt (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))) (+ (pow (* 1/6 (pow x 2)) 3) (pow (+ (* 1/2 x) 1) 3)) (+ (* (* 1/6 (pow x 2)) (* 1/6 (pow x 2))) (- (* (+ (* 1/2 x) 1) (+ (* 1/2 x) 1)) (* (* 1/6 (pow x 2)) (+ (* 1/2 x) 1)))) (- (* (* 1/6 (pow x 2)) (* 1/6 (pow x 2))) (* (+ (* 1/2 x) 1) (+ (* 1/2 x) 1))) (- (* 1/6 (pow x 2)) (+ (* 1/2 x) 1)) (+ (* 1/6 (pow x 2)) (* 1/2 x)) (* 1/6 (pow x 2)) (* 1/6 (pow x 2)) (* 1/6 (pow x 2)) (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1)) (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1)) (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1)) 0.382 * * [simplify]: iteration 0 : 201 enodes (cost 222 ) 0.386 * * [simplify]: iteration 1 : 825 enodes (cost 201 ) 0.410 * * [simplify]: iteration 2 : 5001 enodes (cost 198 ) 0.411 * [simplify]: Simplified to: (log (* 1/6 (pow x 2))) (log (* 1/6 (pow x 2))) (log (* 1/6 (pow x 2))) (log (* 1/6 (pow x 2))) (exp (* 1/6 (pow x 2))) (* 1/216 (pow x 6)) (* (cbrt (* 1/6 (pow x 2))) (cbrt (* 1/6 (pow x 2)))) (cbrt (* 1/6 (pow x 2))) (* 1/216 (pow x 6)) (sqrt (* 1/6 (pow x 2))) (sqrt (* 1/6 (pow x 2))) (* x (sqrt 1/6)) (* x (sqrt 1/6)) (* x (sqrt 1/6)) (* x (sqrt 1/6)) (* (sqrt 1/6) (sqrt (pow x 2))) (* (sqrt 1/6) (sqrt (pow x 2))) (* x (sqrt 1/6)) (* x (sqrt 1/6)) (* 1/6 (pow (* (cbrt x) (cbrt x)) 2)) (* x 1/6) 1/6 (* x 1/6) (* 1/6 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (* 1/6 (fabs x)) 1/6 (* x 1/6) (* (cbrt 1/6) (pow x 2)) (* (sqrt 1/6) (pow x 2)) (* 1/6 (pow x 2)) (exp (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))) (exp (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))) (log (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))) (exp (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))) (* (cbrt (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))) (cbrt (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1)))) (cbrt (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))) (pow (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1)) 3) (sqrt (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))) (sqrt (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))) (+ (pow (* 1/6 (pow x 2)) 3) (pow (+ (* 1/2 x) 1) 3)) (+ (* (+ (* 1/2 x) 1) (- (+ (* 1/2 x) 1) (* 1/6 (pow x 2)))) (* 1/36 (* (pow x 2) (pow x 2)))) (+ (- (* (+ (* 1/2 x) 1) (+ (* 1/2 x) 1))) (* (pow x 4) 1/36)) (- (* 1/6 (pow x 2)) (+ (* 1/2 x) 1)) (* x (+ 1/2 (* x 1/6))) (* 1/6 (pow x 2)) (* 1/6 (pow x 2)) (* 1/6 (pow x 2)) (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1)) (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1)) (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1)) 0.412 * * * [progress]: adding candidates to table 0.489 * * [progress]: iteration 3 / 4 0.489 * * * [progress]: picking best candidate 0.491 * * * * [pick]: Picked # 0.491 * * * [progress]: localizing error 0.497 * * * [progress]: generating rewritten candidates 0.497 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2 2) 0.500 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.508 * * * [progress]: generating series expansions 0.508 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2 2) 0.508 * [approximate]: Taking taylor expansion of (* 1/6 x) in (x) around 0 0.508 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.508 * [taylor]: Taking taylor expansion of 1/6 in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.508 * [taylor]: Taking taylor expansion of 1/6 in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.513 * [approximate]: Taking taylor expansion of (/ 1/6 x) in (x) around 0 0.513 * [taylor]: Taking taylor expansion of (/ 1/6 x) in x 0.513 * [taylor]: Taking taylor expansion of 1/6 in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of (/ 1/6 x) in x 0.514 * [taylor]: Taking taylor expansion of 1/6 in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.517 * [approximate]: Taking taylor expansion of (/ -1/6 x) in (x) around 0 0.517 * [taylor]: Taking taylor expansion of (/ -1/6 x) in x 0.517 * [taylor]: Taking taylor expansion of -1/6 in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.518 * [taylor]: Taking taylor expansion of (/ -1/6 x) in x 0.518 * [taylor]: Taking taylor expansion of -1/6 in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.521 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.521 * [approximate]: Taking taylor expansion of (* x (+ (* 1/6 x) 1/2)) in (x) around 0 0.521 * [taylor]: Taking taylor expansion of (* x (+ (* 1/6 x) 1/2)) in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.521 * [taylor]: Taking taylor expansion of (+ (* 1/6 x) 1/2) in x 0.521 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.521 * [taylor]: Taking taylor expansion of 1/6 in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.521 * [taylor]: Taking taylor expansion of 1/2 in x 0.521 * [taylor]: Taking taylor expansion of (* x (+ (* 1/6 x) 1/2)) in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.521 * [taylor]: Taking taylor expansion of (+ (* 1/6 x) 1/2) in x 0.522 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.522 * [taylor]: Taking taylor expansion of 1/6 in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.522 * [taylor]: Taking taylor expansion of 1/2 in x 0.540 * [approximate]: Taking taylor expansion of (/ (+ (* 1/6 (/ 1 x)) 1/2) x) in (x) around 0 0.540 * [taylor]: Taking taylor expansion of (/ (+ (* 1/6 (/ 1 x)) 1/2) x) in x 0.541 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 x)) 1/2) in x 0.541 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.541 * [taylor]: Taking taylor expansion of 1/6 in x 0.541 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.541 * [taylor]: Taking taylor expansion of 1/2 in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.542 * [taylor]: Taking taylor expansion of (/ (+ (* 1/6 (/ 1 x)) 1/2) x) in x 0.542 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 x)) 1/2) in x 0.542 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.542 * [taylor]: Taking taylor expansion of 1/6 in x 0.542 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.542 * [taylor]: Taking taylor expansion of 1/2 in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.557 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1/2 (* 1/6 (/ 1 x))) x)) in (x) around 0 0.557 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1/2 (* 1/6 (/ 1 x))) x)) in x 0.557 * [taylor]: Taking taylor expansion of -1 in x 0.557 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/6 (/ 1 x))) x) in x 0.557 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/6 (/ 1 x))) in x 0.557 * [taylor]: Taking taylor expansion of 1/2 in x 0.557 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.557 * [taylor]: Taking taylor expansion of 1/6 in x 0.557 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1/2 (* 1/6 (/ 1 x))) x)) in x 0.558 * [taylor]: Taking taylor expansion of -1 in x 0.558 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/6 (/ 1 x))) x) in x 0.558 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/6 (/ 1 x))) in x 0.558 * [taylor]: Taking taylor expansion of 1/2 in x 0.558 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.558 * [taylor]: Taking taylor expansion of 1/6 in x 0.558 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.580 * * * [progress]: simplifying candidates 0.581 * [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) (* x (+ 1/2 (* x 1/6))) (+ (log x) (log (+ 1/2 (* x 1/6)))) (log (* x (+ 1/2 (* x 1/6)))) (exp (* x (+ 1/2 (* x 1/6)))) (* (* (* x x) x) (* (* (+ 1/2 (* x 1/6)) (+ 1/2 (* x 1/6))) (+ 1/2 (* x 1/6)))) (* (cbrt (* x (+ 1/2 (* x 1/6)))) (cbrt (* x (+ 1/2 (* x 1/6))))) (cbrt (* x (+ 1/2 (* x 1/6)))) (* (* (* x (+ 1/2 (* x 1/6))) (* x (+ 1/2 (* x 1/6)))) (* x (+ 1/2 (* x 1/6)))) (sqrt (* x (+ 1/2 (* x 1/6)))) (sqrt (* x (+ 1/2 (* x 1/6)))) (* (sqrt x) (sqrt (+ 1/2 (* x 1/6)))) (* (sqrt x) (sqrt (+ 1/2 (* x 1/6)))) (* x 1/2) (* x (* x 1/6)) (* 1/2 x) (* (* x 1/6) x) (* x (* (cbrt (+ 1/2 (* x 1/6))) (cbrt (+ 1/2 (* x 1/6))))) (* x (sqrt (+ 1/2 (* x 1/6)))) (* x 1) (* (cbrt x) (+ 1/2 (* x 1/6))) (* (sqrt x) (+ 1/2 (* x 1/6))) (* x (+ 1/2 (* x 1/6))) (* x (+ (pow 1/2 3) (pow (* x 1/6) 3))) (* x (- (* 1/2 1/2) (* (* x 1/6) (* x 1/6)))) (* 1/6 x) (* 1/6 x) (* 1/6 x) (+ (* 1/6 (pow x 2)) (* 1/2 x)) (+ (* 1/6 (pow x 2)) (* 1/2 x)) (+ (* 1/6 (pow x 2)) (* 1/2 x)) 0.585 * * [simplify]: iteration 0 : 178 enodes (cost 158 ) 0.589 * * [simplify]: iteration 1 : 781 enodes (cost 143 ) 0.608 * * [simplify]: iteration 2 : 4248 enodes (cost 143 ) 0.689 * * [simplify]: iteration 3 : 5001 enodes (cost 143 ) 0.690 * [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 1/6) (pow x 1/2)) (* (sqrt 1/6) (pow x 1/2)) (* x (* (cbrt 1/6) (cbrt 1/6))) (* x (sqrt 1/6)) x (* (cbrt x) 1/6) (* (sqrt x) 1/6) (* x 1/6) (* x (+ 1/2 (* x 1/6))) (log (* x (+ 1/2 (* x 1/6)))) (log (* x (+ 1/2 (* x 1/6)))) (exp (* x (+ 1/2 (* x 1/6)))) (pow (* x (+ 1/2 (* x 1/6))) 3) (* (cbrt (* x (+ 1/2 (* x 1/6)))) (cbrt (* x (+ 1/2 (* x 1/6))))) (cbrt (* x (+ 1/2 (* x 1/6)))) (pow (* x (+ 1/2 (* x 1/6))) 3) (sqrt (* x (+ 1/2 (* x 1/6)))) (sqrt (* x (+ 1/2 (* x 1/6)))) (* (sqrt (+ 1/2 (* x 1/6))) (pow x 1/2)) (* (sqrt (+ 1/2 (* x 1/6))) (pow x 1/2)) (* x 1/2) (* x (* x 1/6)) (* x 1/2) (* x (* x 1/6)) (* x (* (cbrt (+ 1/2 (* x 1/6))) (cbrt (+ 1/2 (* x 1/6))))) (* x (sqrt (+ 1/2 (* x 1/6)))) x (* (cbrt x) (+ 1/2 (* x 1/6))) (* (sqrt x) (+ 1/2 (* x 1/6))) (* x (+ 1/2 (* x 1/6))) (* x (+ 1/8 (pow (* x 1/6) 3))) (* x (- 1/4 (* (* x 1/6) (* x 1/6)))) (* x 1/6) (* x 1/6) (* x 1/6) (* x (+ 1/2 (* x 1/6))) (* x (+ 1/2 (* x 1/6))) (* x (+ 1/2 (* x 1/6))) 0.690 * * * [progress]: adding candidates to table 0.758 * * [progress]: iteration 4 / 4 0.758 * * * [progress]: picking best candidate 0.760 * * * * [pick]: Picked # 0.760 * * * [progress]: localizing error 0.767 * * * [progress]: generating rewritten candidates 0.767 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1 1) 0.772 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.783 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.821 * * * [progress]: generating series expansions 0.821 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1 1) 0.822 * [approximate]: Taking taylor expansion of (- (exp x) 1.0) in (x) around 0 0.822 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.822 * [taylor]: Taking taylor expansion of (exp x) in x 0.822 * [taylor]: Taking taylor expansion of x in x 0.822 * [taylor]: Taking taylor expansion of 1.0 in x 0.822 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.822 * [taylor]: Taking taylor expansion of (exp x) in x 0.822 * [taylor]: Taking taylor expansion of x in x 0.822 * [taylor]: Taking taylor expansion of 1.0 in x 0.827 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in (x) around 0 0.827 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.827 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.827 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.827 * [taylor]: Taking taylor expansion of x in x 0.828 * [taylor]: Taking taylor expansion of 1.0 in x 0.828 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.828 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.828 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.828 * [taylor]: Taking taylor expansion of x in x 0.828 * [taylor]: Taking taylor expansion of 1.0 in x 0.831 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in (x) around 0 0.831 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.831 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.831 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.831 * [taylor]: Taking taylor expansion of -1 in x 0.831 * [taylor]: Taking taylor expansion of x in x 0.832 * [taylor]: Taking taylor expansion of 1.0 in x 0.832 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.832 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.832 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.832 * [taylor]: Taking taylor expansion of -1 in x 0.832 * [taylor]: Taking taylor expansion of x in x 0.832 * [taylor]: Taking taylor expansion of 1.0 in x 0.835 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.836 * [approximate]: Taking taylor expansion of (- (exp x) 1.0) in (x) around 0 0.836 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.836 * [taylor]: Taking taylor expansion of (exp x) in x 0.836 * [taylor]: Taking taylor expansion of x in x 0.836 * [taylor]: Taking taylor expansion of 1.0 in x 0.836 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.836 * [taylor]: Taking taylor expansion of (exp x) in x 0.836 * [taylor]: Taking taylor expansion of x in x 0.836 * [taylor]: Taking taylor expansion of 1.0 in x 0.845 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in (x) around 0 0.845 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.845 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.845 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.845 * [taylor]: Taking taylor expansion of x in x 0.845 * [taylor]: Taking taylor expansion of 1.0 in x 0.845 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.845 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.845 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.845 * [taylor]: Taking taylor expansion of x in x 0.846 * [taylor]: Taking taylor expansion of 1.0 in x 0.849 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in (x) around 0 0.849 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.849 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.849 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.849 * [taylor]: Taking taylor expansion of -1 in x 0.849 * [taylor]: Taking taylor expansion of x in x 0.850 * [taylor]: Taking taylor expansion of 1.0 in x 0.850 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.850 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.850 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.850 * [taylor]: Taking taylor expansion of -1 in x 0.850 * [taylor]: Taking taylor expansion of x in x 0.850 * [taylor]: Taking taylor expansion of 1.0 in x 0.853 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.854 * [approximate]: Taking taylor expansion of (/ (- (exp x) 1.0) x) in (x) around 0 0.854 * [taylor]: Taking taylor expansion of (/ (- (exp x) 1.0) x) in x 0.854 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.854 * [taylor]: Taking taylor expansion of (exp x) in x 0.854 * [taylor]: Taking taylor expansion of x in x 0.854 * [taylor]: Taking taylor expansion of 1.0 in x 0.854 * [taylor]: Taking taylor expansion of x in x 0.856 * [taylor]: Taking taylor expansion of (/ (- (exp x) 1.0) x) in x 0.856 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.856 * [taylor]: Taking taylor expansion of (exp x) in x 0.856 * [taylor]: Taking taylor expansion of x in x 0.856 * [taylor]: Taking taylor expansion of 1.0 in x 0.856 * [taylor]: Taking taylor expansion of x in x 0.862 * [approximate]: Taking taylor expansion of (* x (- (exp (/ 1 x)) 1.0)) in (x) around 0 0.862 * [taylor]: Taking taylor expansion of (* x (- (exp (/ 1 x)) 1.0)) in x 0.862 * [taylor]: Taking taylor expansion of x in x 0.862 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.862 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.862 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.862 * [taylor]: Taking taylor expansion of x in x 0.863 * [taylor]: Taking taylor expansion of 1.0 in x 0.863 * [taylor]: Taking taylor expansion of (* x (- (exp (/ 1 x)) 1.0)) in x 0.863 * [taylor]: Taking taylor expansion of x in x 0.863 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.863 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.863 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.863 * [taylor]: Taking taylor expansion of x in x 0.863 * [taylor]: Taking taylor expansion of 1.0 in x 0.874 * [approximate]: Taking taylor expansion of (* -1 (* x (- (exp (/ -1 x)) 1.0))) in (x) around 0 0.874 * [taylor]: Taking taylor expansion of (* -1 (* x (- (exp (/ -1 x)) 1.0))) in x 0.874 * [taylor]: Taking taylor expansion of -1 in x 0.874 * [taylor]: Taking taylor expansion of (* x (- (exp (/ -1 x)) 1.0)) in x 0.874 * [taylor]: Taking taylor expansion of x in x 0.874 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.874 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.874 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.874 * [taylor]: Taking taylor expansion of -1 in x 0.874 * [taylor]: Taking taylor expansion of x in x 0.874 * [taylor]: Taking taylor expansion of 1.0 in x 0.874 * [taylor]: Taking taylor expansion of (* -1 (* x (- (exp (/ -1 x)) 1.0))) in x 0.874 * [taylor]: Taking taylor expansion of -1 in x 0.874 * [taylor]: Taking taylor expansion of (* x (- (exp (/ -1 x)) 1.0)) in x 0.874 * [taylor]: Taking taylor expansion of x in x 0.874 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.874 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.874 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.874 * [taylor]: Taking taylor expansion of -1 in x 0.874 * [taylor]: Taking taylor expansion of x in x 0.875 * [taylor]: Taking taylor expansion of 1.0 in x 0.892 * * * [progress]: simplifying candidates 0.894 * [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) (log (exp (exp x))) (log (exp (- 1.0))) (log (exp (exp x))) (log (exp (- 1.0))) (log (* (cbrt (exp (- (exp x) 1.0))) (cbrt (exp (- (exp x) 1.0))))) (log (cbrt (exp (- (exp x) 1.0)))) (log (sqrt (exp (- (exp x) 1.0)))) (log (sqrt (exp (- (exp x) 1.0)))) (log 1) (log (exp (- (exp x) 1.0))) (log (exp (exp x))) (log (exp 1.0)) (log (exp (- (exp x) 1.0))) (log (exp (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0))))) (log (exp (sqrt (- (exp x) 1.0)))) (log (exp 1)) (log (exp (+ (sqrt (exp x)) (sqrt 1.0)))) (log (exp 1)) (log (log (exp (- (exp x) 1.0)))) (exp (log (exp (- (exp x) 1.0)))) (* (cbrt (log (exp (- (exp x) 1.0)))) (cbrt (log (exp (- (exp x) 1.0))))) (cbrt (log (exp (- (exp x) 1.0)))) (* (* (log (exp (- (exp x) 1.0))) (log (exp (- (exp x) 1.0)))) (log (exp (- (exp x) 1.0)))) (sqrt (log (exp (- (exp x) 1.0)))) (sqrt (log (exp (- (exp x) 1.0)))) (- (log (log (exp (- (exp x) 1.0)))) (log x)) (log (/ (log (exp (- (exp x) 1.0))) x)) (exp (/ (log (exp (- (exp x) 1.0))) x)) (/ (* (* (log (exp (- (exp x) 1.0))) (log (exp (- (exp x) 1.0)))) (log (exp (- (exp x) 1.0)))) (* (* x x) x)) (* (cbrt (/ (log (exp (- (exp x) 1.0))) x)) (cbrt (/ (log (exp (- (exp x) 1.0))) x))) (cbrt (/ (log (exp (- (exp x) 1.0))) x)) (* (* (/ (log (exp (- (exp x) 1.0))) x) (/ (log (exp (- (exp x) 1.0))) x)) (/ (log (exp (- (exp x) 1.0))) x)) (sqrt (/ (log (exp (- (exp x) 1.0))) x)) (sqrt (/ (log (exp (- (exp x) 1.0))) x)) (- (log (exp (- (exp x) 1.0)))) (- x) (/ (log (exp (exp x))) x) (/ (log (exp 1.0)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (log (exp (- (exp x) 1.0))) (cbrt x)) (/ 1 (sqrt x)) (/ (log (exp (- (exp x) 1.0))) (sqrt x)) (/ 1 1) (/ (log (exp (- (exp x) 1.0))) x) (/ (cbrt (- (exp x) 1.0)) (* (cbrt x) (cbrt x))) (/ (log (exp (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0))))) (cbrt x)) (/ (cbrt (- (exp x) 1.0)) (sqrt x)) (/ (log (exp (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0))))) (sqrt x)) (/ (cbrt (- (exp x) 1.0)) 1) (/ (log (exp (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0))))) x) (/ (sqrt (- (exp x) 1.0)) (* (cbrt x) (cbrt x))) (/ (log (exp (sqrt (- (exp x) 1.0)))) (cbrt x)) (/ (sqrt (- (exp x) 1.0)) (sqrt x)) (/ (log (exp (sqrt (- (exp x) 1.0)))) (sqrt x)) (/ (sqrt (- (exp x) 1.0)) 1) (/ (log (exp (sqrt (- (exp x) 1.0)))) x) (/ (- (exp x) 1.0) (* (cbrt x) (cbrt x))) (/ (log (exp 1)) (cbrt x)) (/ (- (exp x) 1.0) (sqrt x)) (/ (log (exp 1)) (sqrt x)) (/ (- (exp x) 1.0) 1) (/ (log (exp 1)) x) (/ (- (sqrt (exp x)) (sqrt 1.0)) (* (cbrt x) (cbrt x))) (/ (log (exp (+ (sqrt (exp x)) (sqrt 1.0)))) (cbrt x)) (/ (- (sqrt (exp x)) (sqrt 1.0)) (sqrt x)) (/ (log (exp (+ (sqrt (exp x)) (sqrt 1.0)))) (sqrt x)) (/ (- (sqrt (exp x)) (sqrt 1.0)) 1) (/ (log (exp (+ (sqrt (exp x)) (sqrt 1.0)))) x) (/ (- (exp x) 1.0) (* (cbrt x) (cbrt x))) (/ (log (exp 1)) (cbrt x)) (/ (- (exp x) 1.0) (sqrt x)) (/ (log (exp 1)) (sqrt x)) (/ (- (exp x) 1.0) 1) (/ (log (exp 1)) x) (/ (* (cbrt (log (exp (- (exp x) 1.0)))) (cbrt (log (exp (- (exp x) 1.0))))) (* (cbrt x) (cbrt x))) (/ (cbrt (log (exp (- (exp x) 1.0)))) (cbrt x)) (/ (* (cbrt (log (exp (- (exp x) 1.0)))) (cbrt (log (exp (- (exp x) 1.0))))) (sqrt x)) (/ (cbrt (log (exp (- (exp x) 1.0)))) (sqrt x)) (/ (* (cbrt (log (exp (- (exp x) 1.0)))) (cbrt (log (exp (- (exp x) 1.0))))) 1) (/ (cbrt (log (exp (- (exp x) 1.0)))) x) (/ (sqrt (log (exp (- (exp x) 1.0)))) (* (cbrt x) (cbrt x))) (/ (sqrt (log (exp (- (exp x) 1.0)))) (cbrt x)) (/ (sqrt (log (exp (- (exp x) 1.0)))) (sqrt x)) (/ (sqrt (log (exp (- (exp x) 1.0)))) (sqrt x)) (/ (sqrt (log (exp (- (exp x) 1.0)))) 1) (/ (sqrt (log (exp (- (exp x) 1.0)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (log (exp (- (exp x) 1.0))) (cbrt x)) (/ 1 (sqrt x)) (/ (log (exp (- (exp x) 1.0))) (sqrt x)) (/ 1 1) (/ (log (exp (- (exp x) 1.0))) x) (/ 1 x) (/ x (log (exp (- (exp x) 1.0)))) (/ (log (exp (- (exp x) 1.0))) (* (cbrt x) (cbrt x))) (/ (log (exp (- (exp x) 1.0))) (sqrt x)) (/ (log (exp (- (exp x) 1.0))) 1) (/ x (log (exp (- (exp x) 1.0)))) (/ x (log (exp (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0)))))) (/ x (log (exp (sqrt (- (exp x) 1.0))))) (/ x (log (exp 1))) (/ x (log (exp (+ (sqrt (exp x)) (sqrt 1.0))))) (/ x (log (exp 1))) (/ x (cbrt (log (exp (- (exp x) 1.0))))) (/ x (sqrt (log (exp (- (exp x) 1.0))))) (/ x (log (exp (- (exp x) 1.0)))) (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) (- (exp x) 1.0) (- (exp x) 1.0) (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) (- (exp x) 1.0) (- (exp x) 1.0) (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1)) (/ (- (exp x) 1.0) x) (* -1 (/ (- 1.0 (exp x)) x)) 0.899 * * [simplify]: iteration 0 : 269 enodes (cost 594 ) 0.903 * * [simplify]: iteration 1 : 788 enodes (cost 525 ) 0.916 * * [simplify]: iteration 2 : 3293 enodes (cost 508 ) 0.984 * * [simplify]: iteration 3 : 5001 enodes (cost 505 ) 0.987 * [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))) (- 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) (exp x) (- 1.0) (exp x) (- 1.0) (* 2 (log (cbrt (exp (- (exp x) 1.0))))) (log (cbrt (exp (- (exp x) 1.0)))) (log (exp (/ (- (exp x) 1.0) 2))) (log (exp (/ (- (exp x) 1.0) 2))) 0 (- (exp x) 1.0) (exp x) 1.0 (- (exp x) 1.0) (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0))) (sqrt (- (exp x) 1.0)) 1 (+ (sqrt (exp x)) (sqrt 1.0)) 1 (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)) (log (/ (- (exp x) 1.0) x)) (log (/ (- (exp x) 1.0) x)) (exp (/ (- (exp x) 1.0) x)) (pow (/ (- (exp x) 1.0) x) 3) (* (cbrt (/ (log (exp (- (exp x) 1.0))) x)) (cbrt (/ (log (exp (- (exp x) 1.0))) x))) (cbrt (/ (log (exp (- (exp x) 1.0))) x)) (pow (/ (- (exp x) 1.0) x) 3) (sqrt (/ (log (exp (- (exp x) 1.0))) x)) (sqrt (/ (log (exp (- (exp x) 1.0))) x)) (- 1.0 (exp x)) (- x) (/ (exp x) x) (/ 1.0 x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- (exp x) 1.0) (cbrt x)) (/ 1 (sqrt x)) (/ (- (exp x) 1.0) (sqrt x)) 1 (/ (- (exp x) 1.0) x) (/ (cbrt (- (exp x) 1.0)) (* (cbrt x) (cbrt x))) (/ (cbrt (- (exp x) 1.0)) (/ (cbrt x) (cbrt (- (exp x) 1.0)))) (/ (cbrt (- (exp x) 1.0)) (sqrt x)) (/ (cbrt (- (exp x) 1.0)) (/ (sqrt x) (cbrt (- (exp x) 1.0)))) (cbrt (- (exp x) 1.0)) (/ (cbrt (- (exp x) 1.0)) (/ x (cbrt (- (exp x) 1.0)))) (/ (sqrt (- (exp x) 1.0)) (* (cbrt x) (cbrt x))) (/ (sqrt (- (exp x) 1.0)) (cbrt x)) (/ (sqrt (- (exp x) 1.0)) (sqrt x)) (/ (sqrt (- (exp x) 1.0)) (sqrt x)) (sqrt (- (exp x) 1.0)) (/ (sqrt (- (exp x) 1.0)) x) (/ (- (exp x) 1.0) (* (cbrt x) (cbrt x))) (/ 1 (cbrt x)) (/ (- (exp x) 1.0) (sqrt x)) (/ 1 (sqrt x)) (- (exp x) 1.0) (/ 1 x) (/ (- (sqrt (exp x)) (sqrt 1.0)) (* (cbrt x) (cbrt x))) (/ (log (exp (+ (sqrt (exp x)) (sqrt 1.0)))) (cbrt x)) (/ (- (sqrt (exp x)) (sqrt 1.0)) (sqrt x)) (/ (+ (sqrt (exp x)) (sqrt 1.0)) (pow x 1/2)) (- (sqrt (exp x)) (sqrt 1.0)) (/ (+ (sqrt (exp x)) (sqrt 1.0)) x) (/ (- (exp x) 1.0) (* (cbrt x) (cbrt x))) (/ 1 (cbrt x)) (/ (- (exp x) 1.0) (sqrt x)) (/ 1 (sqrt x)) (- (exp x) 1.0) (/ 1 x) (* (/ (cbrt (- (exp x) 1.0)) (cbrt x)) (/ (cbrt (- (exp x) 1.0)) (cbrt x))) (/ (cbrt (- (exp x) 1.0)) (cbrt x)) (/ (cbrt (- (exp x) 1.0)) (/ (sqrt x) (cbrt (- (exp x) 1.0)))) (/ (cbrt (- (exp x) 1.0)) (sqrt x)) (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0))) (/ (cbrt (- (exp x) 1.0)) x) (/ (sqrt (- (exp x) 1.0)) (* (cbrt x) (cbrt x))) (/ (sqrt (- (exp x) 1.0)) (cbrt x)) (/ (sqrt (- (exp x) 1.0)) (sqrt x)) (/ (sqrt (- (exp x) 1.0)) (sqrt x)) (sqrt (- (exp x) 1.0)) (/ (sqrt (- (exp x) 1.0)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- (exp x) 1.0) (cbrt x)) (/ 1 (sqrt x)) (/ (- (exp x) 1.0) (sqrt x)) 1 (/ (- (exp x) 1.0) x) (/ 1 x) (/ x (- (exp x) 1.0)) (/ (- (exp x) 1.0) (* (cbrt x) (cbrt x))) (/ (- (exp x) 1.0) (sqrt x)) (- (exp x) 1.0) (/ x (- (exp x) 1.0)) (/ (/ x (cbrt (- (exp x) 1.0))) (cbrt (- (exp x) 1.0))) (/ x (sqrt (- (exp x) 1.0))) x (/ x (+ (sqrt (exp x)) (sqrt 1.0))) x (/ x (cbrt (- (exp x) 1.0))) (/ x (sqrt (- (exp x) 1.0))) (/ x (- (exp x) 1.0)) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (- (exp x) 1.0) (- (exp x) 1.0) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (- (exp x) 1.0) (- (exp x) 1.0) (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1)) (/ (- (exp x) 1.0) x) (* -1 (/ (- 1.0 (exp x)) x)) 0.987 * * * [progress]: adding candidates to table 1.132 * [progress]: [Phase 3 of 3] Extracting. 1.132 * * [regime]: Finding splitpoints for: (# #) 1.132 * * * [regime-changes]: Trying 1 branch expressions: (x) 1.132 * * * * [regimes]: Trying to branch on x from (# #) 1.146 * * * [regime]: Found split indices: #