24.507 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.046 * * * [progress]: [2/2] Setting up program. 0.050 * [progress]: [Phase 2 of 3] Improving. 0.051 * [simplify]: Simplifying using # : (fabs (* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))) 0.053 * * [simplify]: iteration 0 : 69 enodes (cost 42 ) 0.056 * * [simplify]: iteration 1 : 231 enodes (cost 42 ) 0.061 * * [simplify]: iteration 2 : 900 enodes (cost 42 ) 0.085 * * [simplify]: iteration 3 : 3753 enodes (cost 42 ) 0.159 * * [simplify]: iteration 4 : 5001 enodes (cost 42 ) 0.160 * [simplify]: Simplified to: (fabs (* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))) 0.160 * * [progress]: iteration 1 / 4 0.160 * * * [progress]: picking best candidate 0.164 * * * * [pick]: Picked # 0.164 * * * [progress]: localizing error 0.190 * * * [progress]: generating rewritten candidates 0.190 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 0.191 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1 2) 0.204 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 0.267 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 2 1 1 1 1) 0.281 * * * [progress]: generating series expansions 0.281 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 0.281 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1 2) 0.282 * [approximate]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs x) 3)) in (x) around 0 0.282 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs x) 3)) in x 0.282 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 0.282 * [taylor]: Taking taylor expansion of (pow (fabs x) 3) in x 0.282 * [taylor]: Taking taylor expansion of (fabs x) in x 0.282 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs x) 3)) in x 0.282 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 0.282 * [taylor]: Taking taylor expansion of (pow (fabs x) 3) in x 0.282 * [taylor]: Taking taylor expansion of (fabs x) in x 0.297 * [approximate]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ 1 x)) 3)) in (x) around 0 0.297 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ 1 x)) 3)) in x 0.297 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 0.297 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in x 0.297 * [taylor]: Taking taylor expansion of (fabs (/ 1 x)) in x 0.297 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ 1 x)) 3)) in x 0.297 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 0.297 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in x 0.297 * [taylor]: Taking taylor expansion of (fabs (/ 1 x)) in x 0.318 * [approximate]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ -1 x)) 3)) in (x) around 0 0.318 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ -1 x)) 3)) in x 0.318 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 0.318 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in x 0.318 * [taylor]: Taking taylor expansion of (fabs (/ -1 x)) in x 0.318 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ -1 x)) 3)) in x 0.318 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 0.318 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in x 0.318 * [taylor]: Taking taylor expansion of (fabs (/ -1 x)) in x 0.333 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 0.333 * [approximate]: Taking taylor expansion of (* 0.047619047619047616 (pow (fabs x) 7)) in (x) around 0 0.333 * [taylor]: Taking taylor expansion of (* 0.047619047619047616 (pow (fabs x) 7)) in x 0.333 * [taylor]: Taking taylor expansion of 0.047619047619047616 in x 0.333 * [taylor]: Taking taylor expansion of (pow (fabs x) 7) in x 0.333 * [taylor]: Taking taylor expansion of (fabs x) in x 0.334 * [taylor]: Taking taylor expansion of (* 0.047619047619047616 (pow (fabs x) 7)) in x 0.334 * [taylor]: Taking taylor expansion of 0.047619047619047616 in x 0.334 * [taylor]: Taking taylor expansion of (pow (fabs x) 7) in x 0.334 * [taylor]: Taking taylor expansion of (fabs x) in x 0.356 * [approximate]: Taking taylor expansion of (* 0.047619047619047616 (pow (fabs (/ 1 x)) 7)) in (x) around 0 0.356 * [taylor]: Taking taylor expansion of (* 0.047619047619047616 (pow (fabs (/ 1 x)) 7)) in x 0.356 * [taylor]: Taking taylor expansion of 0.047619047619047616 in x 0.356 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 x)) 7) in x 0.356 * [taylor]: Taking taylor expansion of (fabs (/ 1 x)) in x 0.357 * [taylor]: Taking taylor expansion of (* 0.047619047619047616 (pow (fabs (/ 1 x)) 7)) in x 0.357 * [taylor]: Taking taylor expansion of 0.047619047619047616 in x 0.357 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 x)) 7) in x 0.357 * [taylor]: Taking taylor expansion of (fabs (/ 1 x)) in x 0.381 * [approximate]: Taking taylor expansion of (* 0.047619047619047616 (pow (fabs (/ -1 x)) 7)) in (x) around 0 0.381 * [taylor]: Taking taylor expansion of (* 0.047619047619047616 (pow (fabs (/ -1 x)) 7)) in x 0.381 * [taylor]: Taking taylor expansion of 0.047619047619047616 in x 0.381 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 x)) 7) in x 0.381 * [taylor]: Taking taylor expansion of (fabs (/ -1 x)) in x 0.381 * [taylor]: Taking taylor expansion of (* 0.047619047619047616 (pow (fabs (/ -1 x)) 7)) in x 0.381 * [taylor]: Taking taylor expansion of 0.047619047619047616 in x 0.381 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 x)) 7) in x 0.381 * [taylor]: Taking taylor expansion of (fabs (/ -1 x)) in x 0.407 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 2 1 1 1 1) 0.408 * [approximate]: Taking taylor expansion of (pow (fabs x) 3) in (x) around 0 0.408 * [taylor]: Taking taylor expansion of (pow (fabs x) 3) in x 0.408 * [taylor]: Taking taylor expansion of (fabs x) in x 0.408 * [taylor]: Taking taylor expansion of (pow (fabs x) 3) in x 0.408 * [taylor]: Taking taylor expansion of (fabs x) in x 0.416 * [approximate]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in (x) around 0 0.416 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in x 0.416 * [taylor]: Taking taylor expansion of (fabs (/ 1 x)) in x 0.416 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in x 0.416 * [taylor]: Taking taylor expansion of (fabs (/ 1 x)) in x 0.425 * [approximate]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in (x) around 0 0.425 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in x 0.425 * [taylor]: Taking taylor expansion of (fabs (/ -1 x)) in x 0.425 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in x 0.426 * [taylor]: Taking taylor expansion of (fabs (/ -1 x)) in x 0.434 * * * [progress]: simplifying candidates 0.437 * [simplify]: Simplifying using # : (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (sqrt (* (cbrt PI) (cbrt PI))) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (sqrt 1) (sqrt PI) (/ 1 2) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x))) (+ (- (log 2.0) (log 3.0)) (+ (+ (log (fabs x)) (log (fabs x))) (log (fabs x)))) (+ (- (log 2.0) (log 3.0)) (+ (log (* (fabs x) (fabs x))) (log (fabs x)))) (+ (- (log 2.0) (log 3.0)) (log (* (* (fabs x) (fabs x)) (fabs x)))) (+ (log (/ 2.0 3.0)) (+ (+ (log (fabs x)) (log (fabs x))) (log (fabs x)))) (+ (log (/ 2.0 3.0)) (+ (log (* (fabs x) (fabs x))) (log (fabs x)))) (+ (log (/ 2.0 3.0)) (log (* (* (fabs x) (fabs x)) (fabs x)))) (log (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (exp (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ (* (* 2.0 2.0) 2.0) (* (* 3.0 3.0) 3.0)) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ (* (* 2.0 2.0) 2.0) (* (* 3.0 3.0) 3.0)) (* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ (* (* 2.0 2.0) 2.0) (* (* 3.0 3.0) 3.0)) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))) (* (* (* (/ 2.0 3.0) (/ 2.0 3.0)) (/ 2.0 3.0)) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))) (* (* (* (/ 2.0 3.0) (/ 2.0 3.0)) (/ 2.0 3.0)) (* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))) (* (* (* (/ 2.0 3.0) (/ 2.0 3.0)) (/ 2.0 3.0)) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))) (* (cbrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (cbrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x))))) (cbrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (* (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (sqrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (sqrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 2.0 3.0) (* (fabs x) (fabs x))) (* (cbrt (/ 2.0 3.0)) (* (* (fabs x) (fabs x)) (fabs x))) (* (sqrt (/ 2.0 3.0)) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ (cbrt 2.0) (cbrt 3.0)) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ (cbrt 2.0) (sqrt 3.0)) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ (cbrt 2.0) 3.0) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ (sqrt 2.0) (cbrt 3.0)) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ (sqrt 2.0) (sqrt 3.0)) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ (sqrt 2.0) 3.0) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ 2.0 (cbrt 3.0)) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ 2.0 (sqrt 3.0)) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ 1 3.0) (* (* (fabs x) (fabs x)) (fabs x))) (* 2.0 (* (* (fabs x) (fabs x)) (fabs x))) (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (+ (- (log 1.0) (log 21.0)) (+ (+ (+ (+ (+ (+ (log (fabs x)) (log (fabs x))) (log (fabs x))) (log (fabs x))) (log (fabs x))) (log (fabs x))) (log (fabs x)))) (+ (- (log 1.0) (log 21.0)) (+ (+ (+ (+ (+ (log (* (fabs x) (fabs x))) (log (fabs x))) (log (fabs x))) (log (fabs x))) (log (fabs x))) (log (fabs x)))) (+ (- (log 1.0) (log 21.0)) (+ (+ (+ (+ (log (* (* (fabs x) (fabs x)) (fabs x))) (log (fabs x))) (log (fabs x))) (log (fabs x))) (log (fabs x)))) (+ (- (log 1.0) (log 21.0)) (+ (+ (+ (log (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x))) (log (fabs x))) (log (fabs x))) (log (fabs x)))) (+ (- (log 1.0) (log 21.0)) (+ (+ (log (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (log (fabs x))) (log (fabs x)))) (+ (- (log 1.0) (log 21.0)) (+ (log (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (log (fabs x)))) (+ (- (log 1.0) (log 21.0)) (log (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (+ (log (/ 1.0 21.0)) (+ (+ (+ (+ (+ (+ (log (fabs x)) (log (fabs x))) (log (fabs x))) (log (fabs x))) (log (fabs x))) (log (fabs x))) (log (fabs x)))) (+ (log (/ 1.0 21.0)) (+ (+ (+ (+ (+ (log (* (fabs x) (fabs x))) (log (fabs x))) (log (fabs x))) (log (fabs x))) (log (fabs x))) (log (fabs x)))) (+ (log (/ 1.0 21.0)) (+ (+ (+ (+ (log (* (* (fabs x) (fabs x)) (fabs x))) (log (fabs x))) (log (fabs x))) (log (fabs x))) (log (fabs x)))) (+ (log (/ 1.0 21.0)) (+ (+ (+ (log (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x))) (log (fabs x))) (log (fabs x))) (log (fabs x)))) (+ (log (/ 1.0 21.0)) (+ (+ (log (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (log (fabs x))) (log (fabs x)))) (+ (log (/ 1.0 21.0)) (+ (log (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (log (fabs x)))) (+ (log (/ 1.0 21.0)) (log (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (log (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (exp (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* 21.0 21.0) 21.0)) (* (* (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* 21.0 21.0) 21.0)) (* (* (* (* (* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* 21.0 21.0) 21.0)) (* (* (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* 21.0 21.0) 21.0)) (* (* (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x))) (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* 21.0 21.0) 21.0)) (* (* (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* 21.0 21.0) 21.0)) (* (* (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* 21.0 21.0) 21.0)) (* (* (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (* (* (/ 1.0 21.0) (/ 1.0 21.0)) (/ 1.0 21.0)) (* (* (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))) (* (* (* (/ 1.0 21.0) (/ 1.0 21.0)) (/ 1.0 21.0)) (* (* (* (* (* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))) (* (* (* (/ 1.0 21.0) (/ 1.0 21.0)) (/ 1.0 21.0)) (* (* (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))) (* (* (* (/ 1.0 21.0) (/ 1.0 21.0)) (/ 1.0 21.0)) (* (* (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x))) (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))) (* (* (* (/ 1.0 21.0) (/ 1.0 21.0)) (/ 1.0 21.0)) (* (* (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))) (* (* (* (/ 1.0 21.0) (/ 1.0 21.0)) (/ 1.0 21.0)) (* (* (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))) (* (* (* (/ 1.0 21.0) (/ 1.0 21.0)) (/ 1.0 21.0)) (* (* (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (cbrt (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (cbrt (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))) (cbrt (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (* (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (sqrt (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (sqrt (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1.0 21.0) (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (* (cbrt (/ 1.0 21.0)) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (* (sqrt (/ 1.0 21.0)) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (* (/ (cbrt 1.0) (cbrt 21.0)) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (* (/ (cbrt 1.0) (sqrt 21.0)) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (* (/ (cbrt 1.0) 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (* (/ (sqrt 1.0) (cbrt 21.0)) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (* (/ (sqrt 1.0) (sqrt 21.0)) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (* (/ (sqrt 1.0) 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (* (/ 1.0 (cbrt 21.0)) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (* (/ 1.0 (sqrt 21.0)) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (* (/ 1 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (* 1.0 (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (+ (+ 1 1) 1) (+ 2 1) (+ (+ 1 1) 1) (+ (* 2 1) 1) (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x)) (+ (+ 1 1) 1) (+ 2 1) (+ (+ 1 1) 1) (+ (* 2 1) 1) (+ (+ (log (fabs x)) (log (fabs x))) (log (fabs x))) (+ (log (* (fabs x) (fabs x))) (log (fabs x))) (log (* (* (fabs x) (fabs x)) (fabs x))) (exp (* (* (fabs x) (fabs x)) (fabs x))) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (cbrt (* (* (fabs x) (fabs x)) (fabs x))) (cbrt (* (* (fabs x) (fabs x)) (fabs x)))) (cbrt (* (* (fabs x) (fabs x)) (fabs x))) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (sqrt (* (* (fabs x) (fabs x)) (fabs x))) (sqrt (* (* (fabs x) (fabs x)) (fabs x))) (* (fabs x) (sqrt (fabs x))) (* (fabs x) (sqrt (fabs x))) (* (* (fabs x) (fabs x)) (* (cbrt (fabs x)) (cbrt (fabs x)))) (* (* (fabs x) (fabs x)) (sqrt (fabs x))) (* (* (fabs x) (fabs x)) 1) (* (fabs x) (fabs x)) (fabs (* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))) (* 0.6666666666666666 (pow (fabs x) 3)) (* 0.6666666666666666 (pow (fabs x) 3)) (* 0.6666666666666666 (pow (fabs x) 3)) (* 0.047619047619047616 (pow (fabs x) 7)) (* 0.047619047619047616 (pow (fabs x) 7)) (* 0.047619047619047616 (pow (fabs x) 7)) (pow (fabs x) 3) (pow (fabs x) 3) (pow (fabs x) 3) 0.447 * * [simplify]: iteration 0 : 772 enodes (cost 1574 ) 0.461 * * [simplify]: iteration 1 : 3319 enodes (cost 931 ) 0.515 * * [simplify]: iteration 2 : 5001 enodes (cost 834 ) 0.520 * [simplify]: Simplified to: (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (sqrt PI) PI) (fabs (cbrt PI)) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) 1 (sqrt PI) 1/2 (sqrt (sqrt PI)) (sqrt (sqrt PI)) (* (pow (fabs x) 3) (/ 2.0 3.0)) (* (pow (fabs x) 3) (/ 2.0 3.0)) (* (pow (fabs x) 3) (/ 2.0 3.0)) (+ (log (/ 2.0 3.0)) (log (pow (fabs x) 3))) (+ (log (/ 2.0 3.0)) (log (pow (fabs x) 3))) (+ (log (/ 2.0 3.0)) (log (pow (fabs x) 3))) (+ (log (/ 2.0 3.0)) (log (pow (fabs x) 3))) (+ (log (/ 2.0 3.0)) (log (pow (fabs x) 3))) (+ (log (/ 2.0 3.0)) (log (pow (fabs x) 3))) (+ (log (/ 2.0 3.0)) (log (pow (fabs x) 3))) (pow (exp (/ 2.0 3.0)) (pow (fabs x) 3)) (pow (* (pow (fabs x) 3) (/ 2.0 3.0)) 3) (pow (* (pow (fabs x) 3) (/ 2.0 3.0)) 3) (pow (* (pow (fabs x) 3) (/ 2.0 3.0)) 3) (pow (* (pow (fabs x) 3) (/ 2.0 3.0)) 3) (pow (* (pow (fabs x) 3) (/ 2.0 3.0)) 3) (pow (* (pow (fabs x) 3) (/ 2.0 3.0)) 3) (* (cbrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (cbrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x))))) (cbrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (pow (* (pow (fabs x) 3) (/ 2.0 3.0)) 3) (sqrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (sqrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 2.0 3.0) (* (fabs x) (fabs x))) (* (pow (fabs x) 3) (cbrt (/ 2.0 3.0))) (* (pow (fabs x) 3) (sqrt (/ 2.0 3.0))) (/ (* (cbrt 2.0) (pow (fabs x) 3)) (cbrt 3.0)) (/ (* (cbrt 2.0) (pow (fabs x) 3)) (sqrt 3.0)) (/ (* (cbrt 2.0) (pow (fabs x) 3)) 3.0) (/ (* (sqrt 2.0) (pow (fabs x) 3)) (cbrt 3.0)) (/ (* (sqrt 2.0) (pow (fabs x) 3)) (sqrt 3.0)) (/ (* (sqrt 2.0) (pow (fabs x) 3)) 3.0) (* (pow (fabs x) 3) (/ 2.0 (cbrt 3.0))) (* (pow (fabs x) 3) (/ 2.0 (sqrt 3.0))) (* (pow (fabs x) 3) (/ 2.0 3.0)) (* (pow (fabs x) 3) (/ 2.0 3.0)) (/ (pow (fabs x) 3) 3.0) (* (pow (fabs x) 3) 2.0) (* (* (/ 1.0 21.0) (pow (fabs x) 6)) (fabs x)) (* (* (/ 1.0 21.0) (pow (fabs x) 6)) (fabs x)) (* (* (/ 1.0 21.0) (pow (fabs x) 6)) (fabs x)) (* (* (/ 1.0 21.0) (pow (fabs x) 6)) (fabs x)) (* (* (/ 1.0 21.0) (pow (fabs x) 6)) (fabs x)) (* (* (/ 1.0 21.0) (pow (fabs x) 6)) (fabs x)) (* (* (/ 1.0 21.0) (pow (fabs x) 6)) (fabs x)) (- (log (* (pow (fabs x) 6) 1.0)) (log (/ 21.0 (fabs x)))) (- (log (* (pow (fabs x) 6) 1.0)) (log (/ 21.0 (fabs x)))) (- (log (* (pow (fabs x) 6) 1.0)) (log (/ 21.0 (fabs x)))) (- (log (* (pow (fabs x) 6) 1.0)) (log (/ 21.0 (fabs x)))) (- (log (* (pow (fabs x) 6) 1.0)) (log (/ 21.0 (fabs x)))) (- (log (* (pow (fabs x) 6) 1.0)) (log (/ 21.0 (fabs x)))) (- (log (* (pow (fabs x) 6) 1.0)) (log (/ 21.0 (fabs x)))) (- (log (* (pow (fabs x) 6) 1.0)) (log (/ 21.0 (fabs x)))) (- (log (* (pow (fabs x) 6) 1.0)) (log (/ 21.0 (fabs x)))) (- (log (* (pow (fabs x) 6) 1.0)) (log (/ 21.0 (fabs x)))) (- (log (* (pow (fabs x) 6) 1.0)) (log (/ 21.0 (fabs x)))) (- (log (* (pow (fabs x) 6) 1.0)) (log (/ 21.0 (fabs x)))) (- (log (* (pow (fabs x) 6) 1.0)) (log (/ 21.0 (fabs x)))) (- (log (* (pow (fabs x) 6) 1.0)) (log (/ 21.0 (fabs x)))) (- (log (* (pow (fabs x) 6) 1.0)) (log (/ 21.0 (fabs x)))) (pow (exp (* (/ 1.0 21.0) (fabs x))) (pow (fabs x) 6)) (* (pow (* (/ 1.0 21.0) (pow (fabs x) 6)) 3) (pow (fabs x) 3)) (* (pow (* (/ 1.0 21.0) (pow (fabs x) 6)) 3) (pow (fabs x) 3)) (* (pow (* (/ 1.0 21.0) (pow (fabs x) 6)) 3) (pow (fabs x) 3)) (* (pow (* (/ 1.0 21.0) (pow (fabs x) 6)) 3) (pow (fabs x) 3)) (* (pow (* (/ 1.0 21.0) (pow (fabs x) 6)) 3) (pow (fabs x) 3)) (* (pow (* (/ 1.0 21.0) (pow (fabs x) 6)) 3) (pow (fabs x) 3)) (* (pow (* (/ 1.0 21.0) (pow (fabs x) 6)) 3) (pow (fabs x) 3)) (* (pow (* (/ 1.0 21.0) (pow (fabs x) 6)) 3) (pow (fabs x) 3)) (* (pow (* (/ 1.0 21.0) (pow (fabs x) 6)) 3) (pow (fabs x) 3)) (* (pow (* (/ 1.0 21.0) (pow (fabs x) 6)) 3) (pow (fabs x) 3)) (* (pow (* (/ 1.0 21.0) (pow (fabs x) 6)) 3) (pow (fabs x) 3)) (* (pow (* (/ 1.0 21.0) (pow (fabs x) 6)) 3) (pow (fabs x) 3)) (* (pow (* (/ 1.0 21.0) (pow (fabs x) 6)) 3) (pow (fabs x) 3)) (* (pow (* (/ 1.0 21.0) (pow (fabs x) 6)) 3) (pow (fabs x) 3)) (* (cbrt (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (cbrt (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))) (cbrt (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (pow (* (/ 1.0 21.0) (pow (fabs x) 6)) 3) (pow (fabs x) 3)) (sqrt (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (sqrt (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1.0 21.0) (pow (fabs x) 6)) (* (* (cbrt (/ 1.0 21.0)) (pow (fabs x) 6)) (fabs x)) (* (* (sqrt (/ 1.0 21.0)) (pow (fabs x) 6)) (fabs x)) (* (* (/ (cbrt 1.0) (cbrt 21.0)) (pow (fabs x) 6)) (fabs x)) (* (* (/ (cbrt 1.0) (sqrt 21.0)) (pow (fabs x) 6)) (fabs x)) (* (* (/ (cbrt 1.0) 21.0) (pow (fabs x) 6)) (fabs x)) (* (* (/ (sqrt 1.0) (cbrt 21.0)) (pow (fabs x) 6)) (fabs x)) (* (* (/ (sqrt 1.0) (sqrt 21.0)) (pow (fabs x) 6)) (fabs x)) (* (* (/ (sqrt 1.0) 21.0) (pow (fabs x) 6)) (fabs x)) (* (* (/ 1.0 (cbrt 21.0)) (pow (fabs x) 6)) (fabs x)) (* (* (/ 1.0 (sqrt 21.0)) (pow (fabs x) 6)) (fabs x)) (* (* (/ 1.0 21.0) (pow (fabs x) 6)) (fabs x)) (* (* (/ 1.0 21.0) (pow (fabs x) 6)) (fabs x)) (/ (* (pow (fabs x) 6) (fabs x)) 21.0) (* (* 1.0 (pow (fabs x) 6)) (fabs x)) 3 3 3 3 (pow (fabs x) 3) (pow (fabs x) 3) 3 3 3 3 (* 3 (log (fabs x))) (* 3 (log (fabs x))) (* 3 (log (fabs x))) (exp (pow (fabs x) 3)) (pow (pow (fabs x) 3) 3) (pow (pow (fabs x) 3) 3) (* (fabs x) (fabs x)) (fabs x) (pow (pow (fabs x) 3) 3) (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2)) (* (fabs x) (sqrt (fabs x))) (* (fabs x) (sqrt (fabs x))) (* (* (fabs x) (fabs x)) (* (cbrt (fabs x)) (cbrt (fabs x)))) (* (* (fabs x) (fabs x)) (sqrt (fabs x))) (* (fabs x) (fabs x)) (* (fabs x) (fabs x)) (fabs (* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))) (* 0.6666666666666666 (pow (fabs x) 3)) (* 0.6666666666666666 (pow (fabs x) 3)) (* 0.6666666666666666 (pow (fabs x) 3)) (* 0.047619047619047616 (pow (fabs x) 7)) (* 0.047619047619047616 (pow (fabs x) 7)) (* 0.047619047619047616 (pow (fabs x) 7)) (pow (fabs x) 3) (pow (fabs x) 3) (pow (fabs x) 3) 0.521 * * * [progress]: adding candidates to table 0.928 * * [progress]: iteration 2 / 4 0.928 * * * [progress]: picking best candidate 0.948 * * * * [pick]: Picked # 0.948 * * * [progress]: localizing error 0.976 * * * [progress]: generating rewritten candidates 0.976 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 0.978 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1 2) 0.990 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 2 2 1 1) 0.996 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 2 2) 1.005 * * * [progress]: generating series expansions 1.006 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 1.006 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1 2) 1.006 * [approximate]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs x) 3)) in (x) around 0 1.006 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs x) 3)) in x 1.006 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 1.006 * [taylor]: Taking taylor expansion of (pow (fabs x) 3) in x 1.006 * [taylor]: Taking taylor expansion of (fabs x) in x 1.006 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs x) 3)) in x 1.006 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 1.006 * [taylor]: Taking taylor expansion of (pow (fabs x) 3) in x 1.006 * [taylor]: Taking taylor expansion of (fabs x) in x 1.024 * [approximate]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ 1 x)) 3)) in (x) around 0 1.024 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ 1 x)) 3)) in x 1.024 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 1.024 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in x 1.024 * [taylor]: Taking taylor expansion of (fabs (/ 1 x)) in x 1.024 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ 1 x)) 3)) in x 1.024 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 1.024 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in x 1.024 * [taylor]: Taking taylor expansion of (fabs (/ 1 x)) in x 1.039 * [approximate]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ -1 x)) 3)) in (x) around 0 1.039 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ -1 x)) 3)) in x 1.039 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 1.039 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in x 1.039 * [taylor]: Taking taylor expansion of (fabs (/ -1 x)) in x 1.039 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ -1 x)) 3)) in x 1.039 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 1.039 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in x 1.039 * [taylor]: Taking taylor expansion of (fabs (/ -1 x)) in x 1.053 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 2 2 1 1) 1.053 * [approximate]: Taking taylor expansion of (pow (fabs x) 3) in (x) around 0 1.053 * [taylor]: Taking taylor expansion of (pow (fabs x) 3) in x 1.053 * [taylor]: Taking taylor expansion of (fabs x) in x 1.053 * [taylor]: Taking taylor expansion of (pow (fabs x) 3) in x 1.053 * [taylor]: Taking taylor expansion of (fabs x) in x 1.062 * [approximate]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in (x) around 0 1.062 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in x 1.062 * [taylor]: Taking taylor expansion of (fabs (/ 1 x)) in x 1.062 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in x 1.062 * [taylor]: Taking taylor expansion of (fabs (/ 1 x)) in x 1.071 * [approximate]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in (x) around 0 1.071 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in x 1.071 * [taylor]: Taking taylor expansion of (fabs (/ -1 x)) in x 1.071 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in x 1.071 * [taylor]: Taking taylor expansion of (fabs (/ -1 x)) in x 1.080 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 2 2) 1.080 * [approximate]: Taking taylor expansion of (pow (fabs x) 3) in (x) around 0 1.080 * [taylor]: Taking taylor expansion of (pow (fabs x) 3) in x 1.080 * [taylor]: Taking taylor expansion of (fabs x) in x 1.080 * [taylor]: Taking taylor expansion of (pow (fabs x) 3) in x 1.080 * [taylor]: Taking taylor expansion of (fabs x) in x 1.089 * [approximate]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in (x) around 0 1.089 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in x 1.089 * [taylor]: Taking taylor expansion of (fabs (/ 1 x)) in x 1.089 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in x 1.089 * [taylor]: Taking taylor expansion of (fabs (/ 1 x)) in x 1.097 * [approximate]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in (x) around 0 1.098 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in x 1.098 * [taylor]: Taking taylor expansion of (fabs (/ -1 x)) in x 1.098 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in x 1.098 * [taylor]: Taking taylor expansion of (fabs (/ -1 x)) in x 1.109 * * * [progress]: simplifying candidates 1.110 * [simplify]: Simplifying using # : (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (sqrt (* (cbrt PI) (cbrt PI))) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (sqrt 1) (sqrt PI) (/ 1 2) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x))) (+ (- (log 2.0) (log 3.0)) (+ (+ (log (fabs x)) (log (fabs x))) (log (fabs x)))) (+ (- (log 2.0) (log 3.0)) (+ (log (* (fabs x) (fabs x))) (log (fabs x)))) (+ (- (log 2.0) (log 3.0)) (log (* (* (fabs x) (fabs x)) (fabs x)))) (+ (log (/ 2.0 3.0)) (+ (+ (log (fabs x)) (log (fabs x))) (log (fabs x)))) (+ (log (/ 2.0 3.0)) (+ (log (* (fabs x) (fabs x))) (log (fabs x)))) (+ (log (/ 2.0 3.0)) (log (* (* (fabs x) (fabs x)) (fabs x)))) (log (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (exp (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ (* (* 2.0 2.0) 2.0) (* (* 3.0 3.0) 3.0)) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ (* (* 2.0 2.0) 2.0) (* (* 3.0 3.0) 3.0)) (* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ (* (* 2.0 2.0) 2.0) (* (* 3.0 3.0) 3.0)) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))) (* (* (* (/ 2.0 3.0) (/ 2.0 3.0)) (/ 2.0 3.0)) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))) (* (* (* (/ 2.0 3.0) (/ 2.0 3.0)) (/ 2.0 3.0)) (* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))) (* (* (* (/ 2.0 3.0) (/ 2.0 3.0)) (/ 2.0 3.0)) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))) (* (cbrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (cbrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x))))) (cbrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (* (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (sqrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (sqrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 2.0 3.0) (* (fabs x) (fabs x))) (* (cbrt (/ 2.0 3.0)) (* (* (fabs x) (fabs x)) (fabs x))) (* (sqrt (/ 2.0 3.0)) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ (cbrt 2.0) (cbrt 3.0)) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ (cbrt 2.0) (sqrt 3.0)) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ (cbrt 2.0) 3.0) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ (sqrt 2.0) (cbrt 3.0)) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ (sqrt 2.0) (sqrt 3.0)) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ (sqrt 2.0) 3.0) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ 2.0 (cbrt 3.0)) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ 2.0 (sqrt 3.0)) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ 1 3.0) (* (* (fabs x) (fabs x)) (fabs x))) (* 2.0 (* (* (fabs x) (fabs x)) (fabs x))) (+ (+ 1 1) 1) (+ 2 1) (+ (+ 1 1) 1) (+ (* 2 1) 1) (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x)) (+ (+ 1 1) 1) (+ 2 1) (+ (+ 1 1) 1) (+ (* 2 1) 1) (+ (+ (log (fabs x)) (log (fabs x))) (log (fabs x))) (+ (log (* (fabs x) (fabs x))) (log (fabs x))) (log (* (* (fabs x) (fabs x)) (fabs x))) (exp (* (* (fabs x) (fabs x)) (fabs x))) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (cbrt (* (* (fabs x) (fabs x)) (fabs x))) (cbrt (* (* (fabs x) (fabs x)) (fabs x)))) (cbrt (* (* (fabs x) (fabs x)) (fabs x))) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (sqrt (* (* (fabs x) (fabs x)) (fabs x))) (sqrt (* (* (fabs x) (fabs x)) (fabs x))) (* (fabs x) (sqrt (fabs x))) (* (fabs x) (sqrt (fabs x))) (* (* (fabs x) (fabs x)) (* (cbrt (fabs x)) (cbrt (fabs x)))) (* (* (fabs x) (fabs x)) (sqrt (fabs x))) (* (* (fabs x) (fabs x)) 1) (* (fabs x) (fabs x)) (+ (+ 1 1) 1) (+ 2 1) (+ (+ 1 1) 1) (+ (* 2 1) 1) (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x)) (+ (+ 1 1) 1) (+ 2 1) (+ (+ 1 1) 1) (+ (* 2 1) 1) (+ (+ (log (fabs x)) (log (fabs x))) (log (fabs x))) (+ (log (* (fabs x) (fabs x))) (log (fabs x))) (log (* (* (fabs x) (fabs x)) (fabs x))) (exp (* (* (fabs x) (fabs x)) (fabs x))) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (cbrt (* (* (fabs x) (fabs x)) (fabs x))) (cbrt (* (* (fabs x) (fabs x)) (fabs x)))) (cbrt (* (* (fabs x) (fabs x)) (fabs x))) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (sqrt (* (* (fabs x) (fabs x)) (fabs x))) (sqrt (* (* (fabs x) (fabs x)) (fabs x))) (* (fabs x) (sqrt (fabs x))) (* (fabs x) (sqrt (fabs x))) (* (* (fabs x) (fabs x)) (* (cbrt (fabs x)) (cbrt (fabs x)))) (* (* (fabs x) (fabs x)) (sqrt (fabs x))) (* (* (fabs x) (fabs x)) 1) (* (fabs x) (fabs x)) (fabs (* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ (sqrt 1.0) (sqrt 21.0)) (* (* (/ (sqrt 1.0) (sqrt 21.0)) (pow (fabs x) 6)) (fabs x)))))) (* 0.6666666666666666 (pow (fabs x) 3)) (* 0.6666666666666666 (pow (fabs x) 3)) (* 0.6666666666666666 (pow (fabs x) 3)) (pow (fabs x) 3) (pow (fabs x) 3) (pow (fabs x) 3) (pow (fabs x) 3) (pow (fabs x) 3) (pow (fabs x) 3) 1.116 * * [simplify]: iteration 0 : 349 enodes (cost 600 ) 1.123 * * [simplify]: iteration 1 : 1416 enodes (cost 423 ) 1.151 * * [simplify]: iteration 2 : 5001 enodes (cost 422 ) 1.154 * [simplify]: Simplified to: (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (sqrt PI) PI) (fabs (cbrt PI)) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) 1 (sqrt PI) 1/2 (sqrt (sqrt PI)) (sqrt (sqrt PI)) (* (pow (fabs x) 3) (/ 2.0 3.0)) (* (pow (fabs x) 3) (/ 2.0 3.0)) (* (pow (fabs x) 3) (/ 2.0 3.0)) (+ (log (/ 2.0 3.0)) (log (pow (fabs x) 3))) (+ (log (/ 2.0 3.0)) (log (pow (fabs x) 3))) (+ (log (/ 2.0 3.0)) (log (pow (fabs x) 3))) (+ (log (/ 2.0 3.0)) (log (pow (fabs x) 3))) (+ (log (/ 2.0 3.0)) (log (pow (fabs x) 3))) (+ (log (/ 2.0 3.0)) (log (pow (fabs x) 3))) (+ (log (/ 2.0 3.0)) (log (pow (fabs x) 3))) (pow (exp (/ 2.0 3.0)) (pow (fabs x) 3)) (pow (* (pow (fabs x) 3) (/ 2.0 3.0)) 3) (pow (* (pow (fabs x) 3) (/ 2.0 3.0)) 3) (pow (* (pow (fabs x) 3) (/ 2.0 3.0)) 3) (pow (* (pow (fabs x) 3) (/ 2.0 3.0)) 3) (pow (* (pow (fabs x) 3) (/ 2.0 3.0)) 3) (pow (* (pow (fabs x) 3) (/ 2.0 3.0)) 3) (* (cbrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (cbrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x))))) (cbrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (pow (* (pow (fabs x) 3) (/ 2.0 3.0)) 3) (sqrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (sqrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 2.0 3.0) (* (fabs x) (fabs x))) (* (pow (fabs x) 3) (cbrt (/ 2.0 3.0))) (* (pow (fabs x) 3) (sqrt (/ 2.0 3.0))) (/ (* (cbrt 2.0) (pow (fabs x) 3)) (cbrt 3.0)) (/ (* (cbrt 2.0) (pow (fabs x) 3)) (sqrt 3.0)) (/ (* (cbrt 2.0) (pow (fabs x) 3)) 3.0) (/ (* (sqrt 2.0) (pow (fabs x) 3)) (cbrt 3.0)) (/ (* (sqrt 2.0) (pow (fabs x) 3)) (sqrt 3.0)) (/ (* (sqrt 2.0) (pow (fabs x) 3)) 3.0) (* (pow (fabs x) 3) (/ 2.0 (cbrt 3.0))) (* (pow (fabs x) 3) (/ 2.0 (sqrt 3.0))) (* (pow (fabs x) 3) (/ 2.0 3.0)) (* (pow (fabs x) 3) (/ 2.0 3.0)) (/ (pow (fabs x) 3) 3.0) (* (pow (fabs x) 3) 2.0) 3 3 3 3 (pow (fabs x) 3) (pow (fabs x) 3) 3 3 3 3 (* 3 (log (fabs x))) (* 3 (log (fabs x))) (* 3 (log (fabs x))) (exp (pow (fabs x) 3)) (pow (pow (fabs x) 3) 3) (pow (pow (fabs x) 3) 3) (* (fabs x) (fabs x)) (fabs x) (pow (pow (fabs x) 3) 3) (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2)) (* (fabs x) (sqrt (fabs x))) (* (fabs x) (sqrt (fabs x))) (* (* (fabs x) (fabs x)) (* (cbrt (fabs x)) (cbrt (fabs x)))) (* (* (fabs x) (fabs x)) (sqrt (fabs x))) (* (fabs x) (fabs x)) (* (fabs x) (fabs x)) 3 3 3 3 (pow (fabs x) 3) (pow (fabs x) 3) 3 3 3 3 (* 3 (log (fabs x))) (* 3 (log (fabs x))) (* 3 (log (fabs x))) (exp (pow (fabs x) 3)) (pow (pow (fabs x) 3) 3) (pow (pow (fabs x) 3) 3) (* (fabs x) (fabs x)) (fabs x) (pow (pow (fabs x) 3) 3) (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2)) (* (fabs x) (sqrt (fabs x))) (* (fabs x) (sqrt (fabs x))) (* (* (fabs x) (fabs x)) (* (cbrt (fabs x)) (cbrt (fabs x)))) (* (* (fabs x) (fabs x)) (sqrt (fabs x))) (* (fabs x) (fabs x)) (* (fabs x) (fabs x)) (fabs (* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ (sqrt 1.0) (sqrt 21.0)) (* (* (/ (sqrt 1.0) (sqrt 21.0)) (pow (fabs x) 6)) (fabs x)))))) (* 0.6666666666666666 (pow (fabs x) 3)) (* 0.6666666666666666 (pow (fabs x) 3)) (* 0.6666666666666666 (pow (fabs x) 3)) (pow (fabs x) 3) (pow (fabs x) 3) (pow (fabs x) 3) (pow (fabs x) 3) (pow (fabs x) 3) (pow (fabs x) 3) 1.155 * * * [progress]: adding candidates to table 1.556 * * [progress]: iteration 3 / 4 1.556 * * * [progress]: picking best candidate 1.570 * * * * [pick]: Picked # 1.570 * * * [progress]: localizing error 1.599 * * * [progress]: generating rewritten candidates 1.599 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 1.600 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1 2) 1.615 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 2 2 1 1) 1.621 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 2 2) 1.631 * * * [progress]: generating series expansions 1.631 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 1.631 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1 2) 1.632 * [approximate]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs x) 3)) in (x) around 0 1.632 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs x) 3)) in x 1.632 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 1.632 * [taylor]: Taking taylor expansion of (pow (fabs x) 3) in x 1.632 * [taylor]: Taking taylor expansion of (fabs x) in x 1.632 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs x) 3)) in x 1.632 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 1.632 * [taylor]: Taking taylor expansion of (pow (fabs x) 3) in x 1.632 * [taylor]: Taking taylor expansion of (fabs x) in x 1.646 * [approximate]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ 1 x)) 3)) in (x) around 0 1.646 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ 1 x)) 3)) in x 1.646 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 1.646 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in x 1.646 * [taylor]: Taking taylor expansion of (fabs (/ 1 x)) in x 1.646 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ 1 x)) 3)) in x 1.647 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 1.647 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in x 1.647 * [taylor]: Taking taylor expansion of (fabs (/ 1 x)) in x 1.662 * [approximate]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ -1 x)) 3)) in (x) around 0 1.662 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ -1 x)) 3)) in x 1.662 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 1.662 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in x 1.662 * [taylor]: Taking taylor expansion of (fabs (/ -1 x)) in x 1.662 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ -1 x)) 3)) in x 1.662 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 1.662 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in x 1.662 * [taylor]: Taking taylor expansion of (fabs (/ -1 x)) in x 1.676 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 2 2 1 1) 1.676 * [approximate]: Taking taylor expansion of (pow (fabs x) 3) in (x) around 0 1.676 * [taylor]: Taking taylor expansion of (pow (fabs x) 3) in x 1.676 * [taylor]: Taking taylor expansion of (fabs x) in x 1.676 * [taylor]: Taking taylor expansion of (pow (fabs x) 3) in x 1.676 * [taylor]: Taking taylor expansion of (fabs x) in x 1.685 * [approximate]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in (x) around 0 1.685 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in x 1.685 * [taylor]: Taking taylor expansion of (fabs (/ 1 x)) in x 1.685 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in x 1.685 * [taylor]: Taking taylor expansion of (fabs (/ 1 x)) in x 1.694 * [approximate]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in (x) around 0 1.694 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in x 1.694 * [taylor]: Taking taylor expansion of (fabs (/ -1 x)) in x 1.694 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in x 1.694 * [taylor]: Taking taylor expansion of (fabs (/ -1 x)) in x 1.707 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 2 2) 1.707 * [approximate]: Taking taylor expansion of (pow (fabs x) 3) in (x) around 0 1.707 * [taylor]: Taking taylor expansion of (pow (fabs x) 3) in x 1.707 * [taylor]: Taking taylor expansion of (fabs x) in x 1.707 * [taylor]: Taking taylor expansion of (pow (fabs x) 3) in x 1.707 * [taylor]: Taking taylor expansion of (fabs x) in x 1.716 * [approximate]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in (x) around 0 1.716 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in x 1.716 * [taylor]: Taking taylor expansion of (fabs (/ 1 x)) in x 1.716 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in x 1.716 * [taylor]: Taking taylor expansion of (fabs (/ 1 x)) in x 1.725 * [approximate]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in (x) around 0 1.725 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in x 1.725 * [taylor]: Taking taylor expansion of (fabs (/ -1 x)) in x 1.725 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in x 1.725 * [taylor]: Taking taylor expansion of (fabs (/ -1 x)) in x 1.733 * * * [progress]: simplifying candidates 1.735 * [simplify]: Simplifying using # : (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (sqrt (* (cbrt PI) (cbrt PI))) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (sqrt 1) (sqrt PI) (/ 1 2) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x))) (+ (- (log 2.0) (log 3.0)) (+ (+ (log (fabs x)) (log (fabs x))) (log (fabs x)))) (+ (- (log 2.0) (log 3.0)) (+ (log (* (fabs x) (fabs x))) (log (fabs x)))) (+ (- (log 2.0) (log 3.0)) (log (* (* (fabs x) (fabs x)) (fabs x)))) (+ (log (/ 2.0 3.0)) (+ (+ (log (fabs x)) (log (fabs x))) (log (fabs x)))) (+ (log (/ 2.0 3.0)) (+ (log (* (fabs x) (fabs x))) (log (fabs x)))) (+ (log (/ 2.0 3.0)) (log (* (* (fabs x) (fabs x)) (fabs x)))) (log (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (exp (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ (* (* 2.0 2.0) 2.0) (* (* 3.0 3.0) 3.0)) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ (* (* 2.0 2.0) 2.0) (* (* 3.0 3.0) 3.0)) (* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ (* (* 2.0 2.0) 2.0) (* (* 3.0 3.0) 3.0)) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))) (* (* (* (/ 2.0 3.0) (/ 2.0 3.0)) (/ 2.0 3.0)) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))) (* (* (* (/ 2.0 3.0) (/ 2.0 3.0)) (/ 2.0 3.0)) (* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))) (* (* (* (/ 2.0 3.0) (/ 2.0 3.0)) (/ 2.0 3.0)) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))) (* (cbrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (cbrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x))))) (cbrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (* (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (sqrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (sqrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 2.0 3.0) (* (fabs x) (fabs x))) (* (cbrt (/ 2.0 3.0)) (* (* (fabs x) (fabs x)) (fabs x))) (* (sqrt (/ 2.0 3.0)) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ (cbrt 2.0) (cbrt 3.0)) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ (cbrt 2.0) (sqrt 3.0)) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ (cbrt 2.0) 3.0) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ (sqrt 2.0) (cbrt 3.0)) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ (sqrt 2.0) (sqrt 3.0)) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ (sqrt 2.0) 3.0) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ 2.0 (cbrt 3.0)) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ 2.0 (sqrt 3.0)) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ 1 3.0) (* (* (fabs x) (fabs x)) (fabs x))) (* 2.0 (* (* (fabs x) (fabs x)) (fabs x))) (+ (+ 1 1) 1) (+ 2 1) (+ (+ 1 1) 1) (+ (* 2 1) 1) (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x)) (+ (+ 1 1) 1) (+ 2 1) (+ (+ 1 1) 1) (+ (* 2 1) 1) (+ (+ (log (fabs x)) (log (fabs x))) (log (fabs x))) (+ (log (* (fabs x) (fabs x))) (log (fabs x))) (log (* (* (fabs x) (fabs x)) (fabs x))) (exp (* (* (fabs x) (fabs x)) (fabs x))) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (cbrt (* (* (fabs x) (fabs x)) (fabs x))) (cbrt (* (* (fabs x) (fabs x)) (fabs x)))) (cbrt (* (* (fabs x) (fabs x)) (fabs x))) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (sqrt (* (* (fabs x) (fabs x)) (fabs x))) (sqrt (* (* (fabs x) (fabs x)) (fabs x))) (* (fabs x) (sqrt (fabs x))) (* (fabs x) (sqrt (fabs x))) (* (* (fabs x) (fabs x)) (* (cbrt (fabs x)) (cbrt (fabs x)))) (* (* (fabs x) (fabs x)) (sqrt (fabs x))) (* (* (fabs x) (fabs x)) 1) (* (fabs x) (fabs x)) (+ (+ 1 1) 1) (+ 2 1) (+ (+ 1 1) 1) (+ (* 2 1) 1) (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x)) (+ (+ 1 1) 1) (+ 2 1) (+ (+ 1 1) 1) (+ (* 2 1) 1) (+ (+ (log (fabs x)) (log (fabs x))) (log (fabs x))) (+ (log (* (fabs x) (fabs x))) (log (fabs x))) (log (* (* (fabs x) (fabs x)) (fabs x))) (exp (* (* (fabs x) (fabs x)) (fabs x))) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (cbrt (* (* (fabs x) (fabs x)) (fabs x))) (cbrt (* (* (fabs x) (fabs x)) (fabs x)))) (cbrt (* (* (fabs x) (fabs x)) (fabs x))) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (sqrt (* (* (fabs x) (fabs x)) (fabs x))) (sqrt (* (* (fabs x) (fabs x)) (fabs x))) (* (fabs x) (sqrt (fabs x))) (* (fabs x) (sqrt (fabs x))) (* (* (fabs x) (fabs x)) (* (cbrt (fabs x)) (cbrt (fabs x)))) (* (* (fabs x) (fabs x)) (sqrt (fabs x))) (* (* (fabs x) (fabs x)) 1) (* (fabs x) (fabs x)) (fabs (* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (* (* (/ (cbrt 1.0) 21.0) (pow (fabs x) 6)) (fabs x)))))) (* 0.6666666666666666 (pow (fabs x) 3)) (* 0.6666666666666666 (pow (fabs x) 3)) (* 0.6666666666666666 (pow (fabs x) 3)) (pow (fabs x) 3) (pow (fabs x) 3) (pow (fabs x) 3) (pow (fabs x) 3) (pow (fabs x) 3) (pow (fabs x) 3) 1.741 * * [simplify]: iteration 0 : 352 enodes (cost 600 ) 1.748 * * [simplify]: iteration 1 : 1433 enodes (cost 423 ) 1.776 * * [simplify]: iteration 2 : 5002 enodes (cost 422 ) 1.780 * [simplify]: Simplified to: (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (sqrt PI) PI) (fabs (cbrt PI)) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) 1 (sqrt PI) 1/2 (sqrt (sqrt PI)) (sqrt (sqrt PI)) (* (pow (fabs x) 3) (/ 2.0 3.0)) (* (pow (fabs x) 3) (/ 2.0 3.0)) (* (pow (fabs x) 3) (/ 2.0 3.0)) (+ (log (/ 2.0 3.0)) (log (pow (fabs x) 3))) (+ (log (/ 2.0 3.0)) (log (pow (fabs x) 3))) (+ (log (/ 2.0 3.0)) (log (pow (fabs x) 3))) (+ (log (/ 2.0 3.0)) (log (pow (fabs x) 3))) (+ (log (/ 2.0 3.0)) (log (pow (fabs x) 3))) (+ (log (/ 2.0 3.0)) (log (pow (fabs x) 3))) (+ (log (/ 2.0 3.0)) (log (pow (fabs x) 3))) (pow (exp (/ 2.0 3.0)) (pow (fabs x) 3)) (pow (* (pow (fabs x) 3) (/ 2.0 3.0)) 3) (pow (* (pow (fabs x) 3) (/ 2.0 3.0)) 3) (pow (* (pow (fabs x) 3) (/ 2.0 3.0)) 3) (pow (* (pow (fabs x) 3) (/ 2.0 3.0)) 3) (pow (* (pow (fabs x) 3) (/ 2.0 3.0)) 3) (pow (* (pow (fabs x) 3) (/ 2.0 3.0)) 3) (* (cbrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (cbrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x))))) (cbrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (pow (* (pow (fabs x) 3) (/ 2.0 3.0)) 3) (sqrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (sqrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 2.0 3.0) (* (fabs x) (fabs x))) (* (pow (fabs x) 3) (cbrt (/ 2.0 3.0))) (* (pow (fabs x) 3) (sqrt (/ 2.0 3.0))) (/ (* (cbrt 2.0) (pow (fabs x) 3)) (cbrt 3.0)) (/ (* (cbrt 2.0) (pow (fabs x) 3)) (sqrt 3.0)) (/ (* (cbrt 2.0) (pow (fabs x) 3)) 3.0) (/ (* (sqrt 2.0) (pow (fabs x) 3)) (cbrt 3.0)) (/ (* (sqrt 2.0) (pow (fabs x) 3)) (sqrt 3.0)) (/ (* (sqrt 2.0) (pow (fabs x) 3)) 3.0) (* (pow (fabs x) 3) (/ 2.0 (cbrt 3.0))) (* (pow (fabs x) 3) (/ 2.0 (sqrt 3.0))) (* (pow (fabs x) 3) (/ 2.0 3.0)) (* (pow (fabs x) 3) (/ 2.0 3.0)) (/ (pow (fabs x) 3) 3.0) (* (pow (fabs x) 3) 2.0) 3 3 3 3 (pow (fabs x) 3) (pow (fabs x) 3) 3 3 3 3 (* 3 (log (fabs x))) (* 3 (log (fabs x))) (* 3 (log (fabs x))) (exp (pow (fabs x) 3)) (pow (pow (fabs x) 3) 3) (pow (pow (fabs x) 3) 3) (* (fabs x) (fabs x)) (fabs x) (pow (pow (fabs x) 3) 3) (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2)) (* (fabs x) (sqrt (fabs x))) (* (fabs x) (sqrt (fabs x))) (* (* (fabs x) (fabs x)) (* (cbrt (fabs x)) (cbrt (fabs x)))) (* (* (fabs x) (fabs x)) (sqrt (fabs x))) (* (fabs x) (fabs x)) (* (fabs x) (fabs x)) 3 3 3 3 (pow (fabs x) 3) (pow (fabs x) 3) 3 3 3 3 (* 3 (log (fabs x))) (* 3 (log (fabs x))) (* 3 (log (fabs x))) (exp (pow (fabs x) 3)) (pow (pow (fabs x) 3) 3) (pow (pow (fabs x) 3) 3) (* (fabs x) (fabs x)) (fabs x) (pow (pow (fabs x) 3) 3) (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2)) (* (fabs x) (sqrt (fabs x))) (* (fabs x) (sqrt (fabs x))) (* (* (fabs x) (fabs x)) (* (cbrt (fabs x)) (cbrt (fabs x)))) (* (* (fabs x) (fabs x)) (sqrt (fabs x))) (* (fabs x) (fabs x)) (* (fabs x) (fabs x)) (fabs (* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (* (* (/ (cbrt 1.0) 21.0) (pow (fabs x) 6)) (fabs x)))))) (* 0.6666666666666666 (pow (fabs x) 3)) (* 0.6666666666666666 (pow (fabs x) 3)) (* 0.6666666666666666 (pow (fabs x) 3)) (pow (fabs x) 3) (pow (fabs x) 3) (pow (fabs x) 3) (pow (fabs x) 3) (pow (fabs x) 3) (pow (fabs x) 3) 1.780 * * * [progress]: adding candidates to table 2.185 * * [progress]: iteration 4 / 4 2.185 * * * [progress]: picking best candidate 2.194 * * * * [pick]: Picked # 2.194 * * * [progress]: localizing error 2.220 * * * [progress]: generating rewritten candidates 2.220 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 2.222 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1 2) 2.234 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 2 2 1 1) 2.240 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 2 2) 2.250 * * * [progress]: generating series expansions 2.251 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 2.251 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1 2) 2.251 * [approximate]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs x) 3)) in (x) around 0 2.251 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs x) 3)) in x 2.251 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 2.251 * [taylor]: Taking taylor expansion of (pow (fabs x) 3) in x 2.251 * [taylor]: Taking taylor expansion of (fabs x) in x 2.251 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs x) 3)) in x 2.251 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 2.251 * [taylor]: Taking taylor expansion of (pow (fabs x) 3) in x 2.251 * [taylor]: Taking taylor expansion of (fabs x) in x 2.266 * [approximate]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ 1 x)) 3)) in (x) around 0 2.266 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ 1 x)) 3)) in x 2.266 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 2.266 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in x 2.266 * [taylor]: Taking taylor expansion of (fabs (/ 1 x)) in x 2.266 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ 1 x)) 3)) in x 2.266 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 2.266 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in x 2.266 * [taylor]: Taking taylor expansion of (fabs (/ 1 x)) in x 2.281 * [approximate]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ -1 x)) 3)) in (x) around 0 2.281 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ -1 x)) 3)) in x 2.281 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 2.281 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in x 2.281 * [taylor]: Taking taylor expansion of (fabs (/ -1 x)) in x 2.281 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ -1 x)) 3)) in x 2.281 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 2.281 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in x 2.281 * [taylor]: Taking taylor expansion of (fabs (/ -1 x)) in x 2.295 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 2 2 1 1) 2.295 * [approximate]: Taking taylor expansion of (pow (fabs x) 3) in (x) around 0 2.295 * [taylor]: Taking taylor expansion of (pow (fabs x) 3) in x 2.295 * [taylor]: Taking taylor expansion of (fabs x) in x 2.295 * [taylor]: Taking taylor expansion of (pow (fabs x) 3) in x 2.295 * [taylor]: Taking taylor expansion of (fabs x) in x 2.304 * [approximate]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in (x) around 0 2.304 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in x 2.304 * [taylor]: Taking taylor expansion of (fabs (/ 1 x)) in x 2.304 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in x 2.304 * [taylor]: Taking taylor expansion of (fabs (/ 1 x)) in x 2.318 * [approximate]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in (x) around 0 2.318 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in x 2.318 * [taylor]: Taking taylor expansion of (fabs (/ -1 x)) in x 2.318 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in x 2.318 * [taylor]: Taking taylor expansion of (fabs (/ -1 x)) in x 2.327 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 2 2) 2.327 * [approximate]: Taking taylor expansion of (pow (fabs x) 3) in (x) around 0 2.327 * [taylor]: Taking taylor expansion of (pow (fabs x) 3) in x 2.327 * [taylor]: Taking taylor expansion of (fabs x) in x 2.327 * [taylor]: Taking taylor expansion of (pow (fabs x) 3) in x 2.327 * [taylor]: Taking taylor expansion of (fabs x) in x 2.335 * [approximate]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in (x) around 0 2.335 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in x 2.335 * [taylor]: Taking taylor expansion of (fabs (/ 1 x)) in x 2.335 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in x 2.335 * [taylor]: Taking taylor expansion of (fabs (/ 1 x)) in x 2.344 * [approximate]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in (x) around 0 2.344 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in x 2.344 * [taylor]: Taking taylor expansion of (fabs (/ -1 x)) in x 2.344 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in x 2.344 * [taylor]: Taking taylor expansion of (fabs (/ -1 x)) in x 2.353 * * * [progress]: simplifying candidates 2.354 * [simplify]: Simplifying using # : (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (sqrt (* (cbrt PI) (cbrt PI))) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (sqrt 1) (sqrt PI) (/ 1 2) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x))) (+ (- (log 2.0) (log 3.0)) (+ (+ (log (fabs x)) (log (fabs x))) (log (fabs x)))) (+ (- (log 2.0) (log 3.0)) (+ (log (* (fabs x) (fabs x))) (log (fabs x)))) (+ (- (log 2.0) (log 3.0)) (log (* (* (fabs x) (fabs x)) (fabs x)))) (+ (log (/ 2.0 3.0)) (+ (+ (log (fabs x)) (log (fabs x))) (log (fabs x)))) (+ (log (/ 2.0 3.0)) (+ (log (* (fabs x) (fabs x))) (log (fabs x)))) (+ (log (/ 2.0 3.0)) (log (* (* (fabs x) (fabs x)) (fabs x)))) (log (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (exp (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ (* (* 2.0 2.0) 2.0) (* (* 3.0 3.0) 3.0)) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ (* (* 2.0 2.0) 2.0) (* (* 3.0 3.0) 3.0)) (* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ (* (* 2.0 2.0) 2.0) (* (* 3.0 3.0) 3.0)) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))) (* (* (* (/ 2.0 3.0) (/ 2.0 3.0)) (/ 2.0 3.0)) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))) (* (* (* (/ 2.0 3.0) (/ 2.0 3.0)) (/ 2.0 3.0)) (* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))) (* (* (* (/ 2.0 3.0) (/ 2.0 3.0)) (/ 2.0 3.0)) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))) (* (cbrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (cbrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x))))) (cbrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (* (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (sqrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (sqrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 2.0 3.0) (* (fabs x) (fabs x))) (* (cbrt (/ 2.0 3.0)) (* (* (fabs x) (fabs x)) (fabs x))) (* (sqrt (/ 2.0 3.0)) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ (cbrt 2.0) (cbrt 3.0)) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ (cbrt 2.0) (sqrt 3.0)) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ (cbrt 2.0) 3.0) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ (sqrt 2.0) (cbrt 3.0)) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ (sqrt 2.0) (sqrt 3.0)) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ (sqrt 2.0) 3.0) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ 2.0 (cbrt 3.0)) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ 2.0 (sqrt 3.0)) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ 1 3.0) (* (* (fabs x) (fabs x)) (fabs x))) (* 2.0 (* (* (fabs x) (fabs x)) (fabs x))) (+ (+ 1 1) 1) (+ 2 1) (+ (+ 1 1) 1) (+ (* 2 1) 1) (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x)) (+ (+ 1 1) 1) (+ 2 1) (+ (+ 1 1) 1) (+ (* 2 1) 1) (+ (+ (log (fabs x)) (log (fabs x))) (log (fabs x))) (+ (log (* (fabs x) (fabs x))) (log (fabs x))) (log (* (* (fabs x) (fabs x)) (fabs x))) (exp (* (* (fabs x) (fabs x)) (fabs x))) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (cbrt (* (* (fabs x) (fabs x)) (fabs x))) (cbrt (* (* (fabs x) (fabs x)) (fabs x)))) (cbrt (* (* (fabs x) (fabs x)) (fabs x))) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (sqrt (* (* (fabs x) (fabs x)) (fabs x))) (sqrt (* (* (fabs x) (fabs x)) (fabs x))) (* (fabs x) (sqrt (fabs x))) (* (fabs x) (sqrt (fabs x))) (* (* (fabs x) (fabs x)) (* (cbrt (fabs x)) (cbrt (fabs x)))) (* (* (fabs x) (fabs x)) (sqrt (fabs x))) (* (* (fabs x) (fabs x)) 1) (* (fabs x) (fabs x)) (+ (+ 1 1) 1) (+ 2 1) (+ (+ 1 1) 1) (+ (* 2 1) 1) (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x)) (+ (+ 1 1) 1) (+ 2 1) (+ (+ 1 1) 1) (+ (* 2 1) 1) (+ (+ (log (fabs x)) (log (fabs x))) (log (fabs x))) (+ (log (* (fabs x) (fabs x))) (log (fabs x))) (log (* (* (fabs x) (fabs x)) (fabs x))) (exp (* (* (fabs x) (fabs x)) (fabs x))) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (cbrt (* (* (fabs x) (fabs x)) (fabs x))) (cbrt (* (* (fabs x) (fabs x)) (fabs x)))) (cbrt (* (* (fabs x) (fabs x)) (fabs x))) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (sqrt (* (* (fabs x) (fabs x)) (fabs x))) (sqrt (* (* (fabs x) (fabs x)) (fabs x))) (* (fabs x) (sqrt (fabs x))) (* (fabs x) (sqrt (fabs x))) (* (* (fabs x) (fabs x)) (* (cbrt (fabs x)) (cbrt (fabs x)))) (* (* (fabs x) (fabs x)) (sqrt (fabs x))) (* (* (fabs x) (fabs x)) 1) (* (fabs x) (fabs x)) (* 0.047619047619047616 (pow (fabs x) 7)) (* 0.6666666666666666 (pow (fabs x) 3)) (* 0.6666666666666666 (pow (fabs x) 3)) (* 0.6666666666666666 (pow (fabs x) 3)) (pow (fabs x) 3) (pow (fabs x) 3) (pow (fabs x) 3) (pow (fabs x) 3) (pow (fabs x) 3) (pow (fabs x) 3) 2.359 * * [simplify]: iteration 0 : 296 enodes (cost 564 ) 2.365 * * [simplify]: iteration 1 : 1194 enodes (cost 387 ) 2.389 * * [simplify]: iteration 2 : 5001 enodes (cost 386 ) 2.392 * [simplify]: Simplified to: (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (sqrt PI) PI) (fabs (cbrt PI)) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) 1 (sqrt PI) 1/2 (sqrt (sqrt PI)) (sqrt (sqrt PI)) (* (pow (fabs x) 3) (/ 2.0 3.0)) (* (pow (fabs x) 3) (/ 2.0 3.0)) (* (pow (fabs x) 3) (/ 2.0 3.0)) (+ (log (/ 2.0 3.0)) (log (pow (fabs x) 3))) (+ (log (/ 2.0 3.0)) (log (pow (fabs x) 3))) (+ (log (/ 2.0 3.0)) (log (pow (fabs x) 3))) (+ (log (/ 2.0 3.0)) (log (pow (fabs x) 3))) (+ (log (/ 2.0 3.0)) (log (pow (fabs x) 3))) (+ (log (/ 2.0 3.0)) (log (pow (fabs x) 3))) (+ (log (/ 2.0 3.0)) (log (pow (fabs x) 3))) (pow (exp (/ 2.0 3.0)) (pow (fabs x) 3)) (pow (* (pow (fabs x) 3) (/ 2.0 3.0)) 3) (pow (* (pow (fabs x) 3) (/ 2.0 3.0)) 3) (pow (* (pow (fabs x) 3) (/ 2.0 3.0)) 3) (pow (* (pow (fabs x) 3) (/ 2.0 3.0)) 3) (pow (* (pow (fabs x) 3) (/ 2.0 3.0)) 3) (pow (* (pow (fabs x) 3) (/ 2.0 3.0)) 3) (* (cbrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (cbrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x))))) (cbrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (pow (* (pow (fabs x) 3) (/ 2.0 3.0)) 3) (sqrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (sqrt (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 2.0 3.0) (* (fabs x) (fabs x))) (* (pow (fabs x) 3) (cbrt (/ 2.0 3.0))) (* (pow (fabs x) 3) (sqrt (/ 2.0 3.0))) (/ (* (cbrt 2.0) (pow (fabs x) 3)) (cbrt 3.0)) (/ (* (cbrt 2.0) (pow (fabs x) 3)) (sqrt 3.0)) (/ (* (cbrt 2.0) (pow (fabs x) 3)) 3.0) (/ (* (sqrt 2.0) (pow (fabs x) 3)) (cbrt 3.0)) (/ (* (sqrt 2.0) (pow (fabs x) 3)) (sqrt 3.0)) (/ (* (sqrt 2.0) (pow (fabs x) 3)) 3.0) (* (pow (fabs x) 3) (/ 2.0 (cbrt 3.0))) (* (pow (fabs x) 3) (/ 2.0 (sqrt 3.0))) (* (pow (fabs x) 3) (/ 2.0 3.0)) (* (pow (fabs x) 3) (/ 2.0 3.0)) (/ (pow (fabs x) 3) 3.0) (* (pow (fabs x) 3) 2.0) 3 3 3 3 (pow (fabs x) 3) (pow (fabs x) 3) 3 3 3 3 (* 3 (log (fabs x))) (* 3 (log (fabs x))) (* 3 (log (fabs x))) (exp (pow (fabs x) 3)) (pow (pow (fabs x) 3) 3) (pow (pow (fabs x) 3) 3) (* (fabs x) (fabs x)) (fabs x) (pow (pow (fabs x) 3) 3) (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2)) (* (fabs x) (sqrt (fabs x))) (* (fabs x) (sqrt (fabs x))) (* (* (fabs x) (fabs x)) (* (cbrt (fabs x)) (cbrt (fabs x)))) (* (* (fabs x) (fabs x)) (sqrt (fabs x))) (* (fabs x) (fabs x)) (* (fabs x) (fabs x)) 3 3 3 3 (pow (fabs x) 3) (pow (fabs x) 3) 3 3 3 3 (* 3 (log (fabs x))) (* 3 (log (fabs x))) (* 3 (log (fabs x))) (exp (pow (fabs x) 3)) (pow (pow (fabs x) 3) 3) (pow (pow (fabs x) 3) 3) (* (fabs x) (fabs x)) (fabs x) (pow (pow (fabs x) 3) 3) (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2)) (* (fabs x) (sqrt (fabs x))) (* (fabs x) (sqrt (fabs x))) (* (* (fabs x) (fabs x)) (* (cbrt (fabs x)) (cbrt (fabs x)))) (* (* (fabs x) (fabs x)) (sqrt (fabs x))) (* (fabs x) (fabs x)) (* (fabs x) (fabs x)) (* 0.047619047619047616 (pow (fabs x) 7)) (* 0.6666666666666666 (pow (fabs x) 3)) (* 0.6666666666666666 (pow (fabs x) 3)) (* 0.6666666666666666 (pow (fabs x) 3)) (pow (fabs x) 3) (pow (fabs x) 3) (pow (fabs x) 3) (pow (fabs x) 3) (pow (fabs x) 3) (pow (fabs x) 3) 2.392 * * * [progress]: adding candidates to table 2.719 * [progress]: [Phase 3 of 3] Extracting. 2.719 * * [regime]: Finding splitpoints for: (# # # # #) 2.724 * * * [regime-changes]: Trying 5 branch expressions: ((fabs x) (+ (+ (+ (* 2.0 (fabs x)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))) (fabs (* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))) x) 2.725 * * * * [regimes]: Trying to branch on (fabs x) from (# # # # #) 2.760 * * * * [regimes]: Trying to branch on (+ (+ (+ (* 2.0 (fabs x)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) from (# # # # #) 2.798 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))) from (# # # # #) 2.840 * * * * [regimes]: Trying to branch on (fabs (* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))) from (# # # # #) 2.885 * * * * [regimes]: Trying to branch on x from (# # # # #) 2.916 * * * [regime]: Found split indices: #