19.475 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.106 * * * [progress]: [2/2] Setting up program. 0.111 * [progress]: [Phase 2 of 3] Improving. 0.111 * [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)))))) 0.114 * * [simplify]: iteration 0 : 70 enodes (cost 42 ) 0.117 * * [simplify]: iteration 1 : 252 enodes (cost 42 ) 0.123 * * [simplify]: iteration 2 : 1059 enodes (cost 42 ) 0.149 * * [simplify]: iteration 3 : 4713 enodes (cost 42 ) 0.223 * * [simplify]: iteration 4 : 5001 enodes (cost 42 ) 0.223 * [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)))))) 0.223 * * [progress]: iteration 1 / 4 0.223 * * * [progress]: picking best candidate 0.227 * * * * [pick]: Picked # 0.227 * * * [progress]: localizing error 0.255 * * * [progress]: generating rewritten candidates 0.256 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 0.256 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1 2) 0.283 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2 2 1 1 1 1) 0.291 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 2 2 1 1) 0.303 * * * [progress]: generating series expansions 0.303 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 0.303 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1 2) 0.304 * [approximate]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs x) 3)) in (x) around 0 0.304 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs x) 3)) in x 0.304 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 0.304 * [taylor]: Taking taylor expansion of (pow (fabs x) 3) in x 0.304 * [taylor]: Taking taylor expansion of (fabs x) in x 0.304 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs x) 3)) in x 0.304 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 0.304 * [taylor]: Taking taylor expansion of (pow (fabs x) 3) in x 0.304 * [taylor]: Taking taylor expansion of (fabs 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 0.338 * [approximate]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ -1 x)) 3)) in (x) around 0 0.338 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ -1 x)) 3)) in x 0.338 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 0.338 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in x 0.338 * [taylor]: Taking taylor expansion of (fabs (/ -1 x)) in x 0.338 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ -1 x)) 3)) in x 0.338 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 0.338 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in x 0.338 * [taylor]: Taking taylor expansion of (fabs (/ -1 x)) in x 0.352 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2 2 1 1 1 1) 0.353 * [approximate]: Taking taylor expansion of (pow (fabs x) 3) in (x) around 0 0.353 * [taylor]: Taking taylor expansion of (pow (fabs x) 3) in x 0.353 * [taylor]: Taking taylor expansion of (fabs x) in x 0.353 * [taylor]: Taking taylor expansion of (pow (fabs x) 3) in x 0.353 * [taylor]: Taking taylor expansion of (fabs x) in x 0.361 * [approximate]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in (x) around 0 0.361 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in x 0.361 * [taylor]: Taking taylor expansion of (fabs (/ 1 x)) in x 0.361 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in x 0.361 * [taylor]: Taking taylor expansion of (fabs (/ 1 x)) in x 0.370 * [approximate]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in (x) around 0 0.370 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in x 0.370 * [taylor]: Taking taylor expansion of (fabs (/ -1 x)) in x 0.370 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in x 0.370 * [taylor]: Taking taylor expansion of (fabs (/ -1 x)) in x 0.379 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 2 2 1 1) 0.379 * [approximate]: Taking taylor expansion of (pow (fabs x) 3) in (x) around 0 0.379 * [taylor]: Taking taylor expansion of (pow (fabs x) 3) in x 0.379 * [taylor]: Taking taylor expansion of (fabs x) in x 0.379 * [taylor]: Taking taylor expansion of (pow (fabs x) 3) in x 0.379 * [taylor]: Taking taylor expansion of (fabs x) in x 0.388 * [approximate]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in (x) around 0 0.388 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in x 0.388 * [taylor]: Taking taylor expansion of (fabs (/ 1 x)) in x 0.388 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in x 0.388 * [taylor]: Taking taylor expansion of (fabs (/ 1 x)) in x 0.397 * [approximate]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in (x) around 0 0.397 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in x 0.397 * [taylor]: Taking taylor expansion of (fabs (/ -1 x)) in x 0.397 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in x 0.397 * [taylor]: Taking taylor expansion of (fabs (/ -1 x)) in x 0.406 * * * [progress]: simplifying candidates 0.407 * [simplify]: Simplifying using # : (expm1 (sqrt PI)) (log1p (sqrt PI)) (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)) (expm1 (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (log1p (* (/ 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))) (+ (- (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))) (expm1 (* (* (fabs x) (fabs x)) (fabs x))) (log1p (* (* (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)) (expm1 (* (* (fabs x) (fabs x)) (fabs x))) (log1p (* (* (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)) (pow (fabs x) 3) (pow (fabs x) 3) (pow (fabs x) 3) (pow (fabs x) 3) (pow (fabs x) 3) (pow (fabs x) 3) 0.418 * * [simplify]: iteration 0 : 348 enodes (cost 647 ) 0.424 * * [simplify]: iteration 1 : 1405 enodes (cost 470 ) 0.450 * * [simplify]: iteration 2 : 5001 enodes (cost 462 ) 0.453 * [simplify]: Simplified to: (expm1 (sqrt PI)) (log1p (sqrt PI)) (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)) (expm1 (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (log1p (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (pow (fabs x) 3) (/ 2.0 3.0)) (* (pow (fabs x) 3) (/ 2.0 3.0)) (* (pow (fabs x) 3) (/ 2.0 3.0)) (fma 3 (log (fabs x)) (log (/ 2.0 3.0))) (fma 3 (log (fabs x)) (log (/ 2.0 3.0))) (fma 3 (log (fabs x)) (log (/ 2.0 3.0))) (fma 3 (log (fabs x)) (log (/ 2.0 3.0))) (fma 3 (log (fabs x)) (log (/ 2.0 3.0))) (fma 3 (log (fabs x)) (log (/ 2.0 3.0))) (fma 3 (log (fabs x)) (log (/ 2.0 3.0))) (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) (expm1 (* (* (fabs x) (fabs x)) (fabs x))) (log1p (* (* (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)) (expm1 (* (* (fabs x) (fabs x)) (fabs x))) (log1p (* (* (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)))) (* (/ 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)) (pow (fabs x) 3) (pow (fabs x) 3) (pow (fabs x) 3) (pow (fabs x) 3) (pow (fabs x) 3) (pow (fabs x) 3) 0.454 * * * [progress]: adding candidates to table 0.839 * * [progress]: iteration 2 / 4 0.840 * * * [progress]: picking best candidate 0.859 * * * * [pick]: Picked # 0.859 * * * [progress]: localizing error 0.894 * * * [progress]: generating rewritten candidates 0.894 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 0.895 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 2 1 1 1 1) 0.898 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 2) 0.925 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 2 2 1 1) 0.940 * * * [progress]: generating series expansions 0.940 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 0.940 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 2 1 1 1 1) 0.940 * [approximate]: Taking taylor expansion of (pow (fabs (pow (fabs x) 3/2)) 2) in (x) around 0 0.940 * [taylor]: Taking taylor expansion of (pow (fabs (pow (fabs x) 3/2)) 2) in x 0.940 * [taylor]: Taking taylor expansion of (fabs (pow (fabs x) 3/2)) in x 0.941 * [taylor]: Taking taylor expansion of (pow (fabs (pow (fabs x) 3/2)) 2) in x 0.941 * [taylor]: Taking taylor expansion of (fabs (pow (fabs x) 3/2)) in x 0.946 * [approximate]: Taking taylor expansion of (pow (fabs (pow (fabs (/ 1 x)) 3/2)) 2) in (x) around 0 0.946 * [taylor]: Taking taylor expansion of (pow (fabs (pow (fabs (/ 1 x)) 3/2)) 2) in x 0.946 * [taylor]: Taking taylor expansion of (fabs (pow (fabs (/ 1 x)) 3/2)) in x 0.946 * [taylor]: Taking taylor expansion of (pow (fabs (pow (fabs (/ 1 x)) 3/2)) 2) in x 0.946 * [taylor]: Taking taylor expansion of (fabs (pow (fabs (/ 1 x)) 3/2)) in x 0.952 * [approximate]: Taking taylor expansion of (pow (fabs (pow (fabs (/ -1 x)) 3/2)) 2) in (x) around 0 0.952 * [taylor]: Taking taylor expansion of (pow (fabs (pow (fabs (/ -1 x)) 3/2)) 2) in x 0.952 * [taylor]: Taking taylor expansion of (fabs (pow (fabs (/ -1 x)) 3/2)) in x 0.952 * [taylor]: Taking taylor expansion of (pow (fabs (pow (fabs (/ -1 x)) 3/2)) 2) in x 0.952 * [taylor]: Taking taylor expansion of (fabs (pow (fabs (/ -1 x)) 3/2)) in x 0.957 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 2) 0.958 * [approximate]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs x) 3)) in (x) around 0 0.958 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs x) 3)) in x 0.958 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 0.958 * [taylor]: Taking taylor expansion of (pow (fabs x) 3) in x 0.958 * [taylor]: Taking taylor expansion of (fabs x) in x 0.958 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs x) 3)) in x 0.958 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 0.958 * [taylor]: Taking taylor expansion of (pow (fabs x) 3) in x 0.958 * [taylor]: Taking taylor expansion of (fabs x) in x 0.972 * [approximate]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ 1 x)) 3)) in (x) around 0 0.972 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ 1 x)) 3)) in x 0.972 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 0.972 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in x 0.972 * [taylor]: Taking taylor expansion of (fabs (/ 1 x)) in x 0.972 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ 1 x)) 3)) in x 0.972 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 0.972 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in x 0.972 * [taylor]: Taking taylor expansion of (fabs (/ 1 x)) in x 0.987 * [approximate]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ -1 x)) 3)) in (x) around 0 0.987 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ -1 x)) 3)) in x 0.987 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 0.987 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in x 0.987 * [taylor]: Taking taylor expansion of (fabs (/ -1 x)) in x 0.987 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ -1 x)) 3)) in x 0.987 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 0.987 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in x 0.987 * [taylor]: Taking taylor expansion of (fabs (/ -1 x)) in x 1.002 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 2 2 1 1) 1.002 * [approximate]: Taking taylor expansion of (pow (fabs x) 3) in (x) around 0 1.002 * [taylor]: Taking taylor expansion of (pow (fabs x) 3) in x 1.002 * [taylor]: Taking taylor expansion of (fabs x) in x 1.002 * [taylor]: Taking taylor expansion of (pow (fabs x) 3) in x 1.002 * [taylor]: Taking taylor expansion of (fabs x) in x 1.010 * [approximate]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in (x) around 0 1.010 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in x 1.010 * [taylor]: Taking taylor expansion of (fabs (/ 1 x)) in x 1.010 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in x 1.010 * [taylor]: Taking taylor expansion of (fabs (/ 1 x)) in x 1.024 * [approximate]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in (x) around 0 1.025 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in x 1.025 * [taylor]: Taking taylor expansion of (fabs (/ -1 x)) in x 1.025 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in x 1.025 * [taylor]: Taking taylor expansion of (fabs (/ -1 x)) in x 1.033 * * * [progress]: simplifying candidates 1.035 * [simplify]: Simplifying using # : (expm1 (sqrt PI)) (log1p (sqrt PI)) (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)) (expm1 (* (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2)))) (log1p (* (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2)))) (+ 1 1) (* (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2))) (+ 1 1) (+ (log (fabs (pow (fabs x) 3/2))) (log (fabs (pow (fabs x) 3/2)))) (log (* (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2)))) (exp (* (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2)))) (* (* (* (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2))) (fabs (pow (fabs x) 3/2))) (* (* (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2))) (fabs (pow (fabs x) 3/2)))) (* (cbrt (* (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2)))) (cbrt (* (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2))))) (cbrt (* (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2)))) (* (* (* (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2))) (* (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2)))) (* (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2)))) (sqrt (* (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2)))) (sqrt (* (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2)))) (* (* (cbrt (fabs (pow (fabs x) 3/2))) (cbrt (fabs (pow (fabs x) 3/2)))) (* (cbrt (fabs (pow (fabs x) 3/2))) (cbrt (fabs (pow (fabs x) 3/2))))) (* (cbrt (fabs (pow (fabs x) 3/2))) (cbrt (fabs (pow (fabs x) 3/2)))) (* (sqrt (fabs (pow (fabs x) 3/2))) (sqrt (fabs (pow (fabs x) 3/2)))) (* (sqrt (fabs (pow (fabs x) 3/2))) (sqrt (fabs (pow (fabs x) 3/2)))) (* 1 1) (* (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2))) (* (sqrt (fabs (pow (fabs x) 3/2))) (sqrt (fabs (pow (fabs x) 3/2)))) (* (sqrt (fabs (pow (fabs x) 3/2))) (sqrt (fabs (pow (fabs x) 3/2)))) (* 2 1) (* (fabs (pow (fabs x) 3/2)) (* (cbrt (fabs (pow (fabs x) 3/2))) (cbrt (fabs (pow (fabs x) 3/2))))) (* (fabs (pow (fabs x) 3/2)) (sqrt (fabs (pow (fabs x) 3/2)))) (* (fabs (pow (fabs x) 3/2)) 1) (* (cbrt (fabs (pow (fabs x) 3/2))) (fabs (pow (fabs x) 3/2))) (* (sqrt (fabs (pow (fabs x) 3/2))) (fabs (pow (fabs x) 3/2))) (* (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2))) (expm1 (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (log1p (* (/ 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))) (+ (- (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))) (expm1 (* (* (fabs x) (fabs x)) (fabs x))) (log1p (* (* (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 (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2))) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))) (pow (fabs (pow (fabs x) 3/2)) 2) (pow (fabs (pow (fabs x) 3/2)) 2) (pow (fabs (pow (fabs x) 3/2)) 2) (* 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) 1.042 * * [simplify]: iteration 0 : 415 enodes (cost 718 ) 1.050 * * [simplify]: iteration 1 : 1711 enodes (cost 555 ) 1.083 * * [simplify]: iteration 2 : 5002 enodes (cost 485 ) 1.086 * [simplify]: Simplified to: (expm1 (sqrt PI)) (log1p (sqrt PI)) (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)) (expm1 (* (* (fabs x) (fabs x)) (fabs x))) (log1p (* (* (fabs x) (fabs x)) (fabs x))) 2 (pow (fabs x) 3) 2 (* 3 (log (fabs x))) (* 3 (log (fabs x))) (exp (pow (fabs x) 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)) (pow (cbrt (fabs (pow (fabs x) 3/2))) 4) (* (cbrt (fabs (pow (fabs x) 3/2))) (cbrt (fabs (pow (fabs x) 3/2)))) (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2)) 1 (pow (fabs x) 3) (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2)) 2 (* (pow (cbrt (fabs (pow (fabs x) 3/2))) 4) (cbrt (fabs (pow (fabs x) 3/2)))) (pow (sqrt (fabs (pow (fabs x) 3/2))) 3) (fabs (pow (fabs x) 3/2)) (pow (cbrt (fabs (pow (fabs x) 3/2))) 4) (pow (sqrt (fabs (pow (fabs x) 3/2))) 3) (pow (fabs x) 3) (expm1 (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (log1p (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (pow (fabs x) 3) (/ 2.0 3.0)) (* (pow (fabs x) 3) (/ 2.0 3.0)) (* (pow (fabs x) 3) (/ 2.0 3.0)) (fma 3 (log (fabs x)) (log (/ 2.0 3.0))) (fma 3 (log (fabs x)) (log (/ 2.0 3.0))) (fma 3 (log (fabs x)) (log (/ 2.0 3.0))) (fma 3 (log (fabs x)) (log (/ 2.0 3.0))) (fma 3 (log (fabs x)) (log (/ 2.0 3.0))) (fma 3 (log (fabs x)) (log (/ 2.0 3.0))) (fma 3 (log (fabs x)) (log (/ 2.0 3.0))) (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) (expm1 (* (* (fabs x) (fabs x)) (fabs x))) (log1p (* (* (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)))) (* (/ 1.0 21.0) (* (* (* (* (* (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2))) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))) (pow (fabs x) 3) (pow (fabs x) 3) (pow (fabs x) 3) (* 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) 1.087 * * * [progress]: adding candidates to table 1.567 * * [progress]: iteration 3 / 4 1.567 * * * [progress]: picking best candidate 1.583 * * * * [pick]: Picked # 1.583 * * * [progress]: localizing error 1.618 * * * [progress]: generating rewritten candidates 1.618 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 1 1) 1.619 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 1.619 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 2) 1.646 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 2 1 1 1 1) 1.657 * * * [progress]: generating series expansions 1.657 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 1 1) 1.657 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 1.657 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 2) 1.658 * [approximate]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs x) 3)) in (x) around 0 1.658 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs x) 3)) in x 1.658 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 1.658 * [taylor]: Taking taylor expansion of (pow (fabs x) 3) in x 1.658 * [taylor]: Taking taylor expansion of (fabs x) in x 1.658 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs x) 3)) in x 1.658 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 1.658 * [taylor]: Taking taylor expansion of (pow (fabs x) 3) in x 1.658 * [taylor]: Taking taylor expansion of (fabs x) in x 1.673 * [approximate]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ 1 x)) 3)) in (x) around 0 1.673 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ 1 x)) 3)) in x 1.673 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 1.673 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in x 1.673 * [taylor]: Taking taylor expansion of (fabs (/ 1 x)) in x 1.673 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ 1 x)) 3)) in x 1.673 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 1.673 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in x 1.673 * [taylor]: Taking taylor expansion of (fabs (/ 1 x)) in x 1.688 * [approximate]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ -1 x)) 3)) in (x) around 0 1.688 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ -1 x)) 3)) in x 1.688 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 1.688 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in x 1.689 * [taylor]: Taking taylor expansion of (fabs (/ -1 x)) in x 1.689 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ -1 x)) 3)) in x 1.689 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 1.689 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in x 1.689 * [taylor]: Taking taylor expansion of (fabs (/ -1 x)) in x 1.709 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 2 1 1 1 1) 1.709 * [approximate]: Taking taylor expansion of (pow (fabs x) 3) in (x) around 0 1.709 * [taylor]: Taking taylor expansion of (pow (fabs x) 3) in x 1.709 * [taylor]: Taking taylor expansion of (fabs x) in x 1.709 * [taylor]: Taking taylor expansion of (pow (fabs x) 3) in x 1.709 * [taylor]: Taking taylor expansion of (fabs x) in x 1.717 * [approximate]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in (x) around 0 1.717 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in x 1.717 * [taylor]: Taking taylor expansion of (fabs (/ 1 x)) in x 1.717 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in x 1.717 * [taylor]: Taking taylor expansion of (fabs (/ 1 x)) in x 1.726 * [approximate]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in (x) around 0 1.726 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in x 1.726 * [taylor]: Taking taylor expansion of (fabs (/ -1 x)) in x 1.726 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in x 1.726 * [taylor]: Taking taylor expansion of (fabs (/ -1 x)) in x 1.735 * * * [progress]: simplifying candidates 1.736 * [simplify]: Simplifying using # : (expm1 (sqrt PI)) (log1p (sqrt PI)) (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)) (exp (log1p (sqrt PI))) (expm1 (expm1 (log1p (sqrt PI)))) (log1p (expm1 (log1p (sqrt PI)))) (log (expm1 (log1p (sqrt PI)))) (exp (expm1 (log1p (sqrt PI)))) (* (cbrt (expm1 (log1p (sqrt PI)))) (cbrt (expm1 (log1p (sqrt PI))))) (cbrt (expm1 (log1p (sqrt PI)))) (* (* (expm1 (log1p (sqrt PI))) (expm1 (log1p (sqrt PI)))) (expm1 (log1p (sqrt PI)))) (sqrt (expm1 (log1p (sqrt PI)))) (sqrt (expm1 (log1p (sqrt PI)))) (expm1 (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (log1p (* (/ 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))) (+ (- (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))) (expm1 (* (* (fabs x) (fabs x)) (fabs x))) (log1p (* (* (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)) (log1p (sqrt PI)) (log1p (sqrt PI)) (* 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) 1.742 * * [simplify]: iteration 0 : 307 enodes (cost 503 ) 1.748 * * [simplify]: iteration 1 : 1199 enodes (cost 374 ) 1.771 * * [simplify]: iteration 2 : 5001 enodes (cost 366 ) 1.774 * [simplify]: Simplified to: (expm1 (sqrt PI)) (log1p (sqrt PI)) (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)) (exp (log1p (sqrt PI))) (expm1 (sqrt PI)) (log1p (sqrt PI)) (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (sqrt PI) PI) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (expm1 (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (log1p (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (pow (fabs x) 3) (/ 2.0 3.0)) (* (pow (fabs x) 3) (/ 2.0 3.0)) (* (pow (fabs x) 3) (/ 2.0 3.0)) (fma 3 (log (fabs x)) (log (/ 2.0 3.0))) (fma 3 (log (fabs x)) (log (/ 2.0 3.0))) (fma 3 (log (fabs x)) (log (/ 2.0 3.0))) (fma 3 (log (fabs x)) (log (/ 2.0 3.0))) (fma 3 (log (fabs x)) (log (/ 2.0 3.0))) (fma 3 (log (fabs x)) (log (/ 2.0 3.0))) (fma 3 (log (fabs x)) (log (/ 2.0 3.0))) (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) (expm1 (* (* (fabs x) (fabs x)) (fabs x))) (log1p (* (* (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)) (log1p (sqrt PI)) (log1p (sqrt PI)) (* 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) 1.774 * * * [progress]: adding candidates to table 2.148 * * [progress]: iteration 4 / 4 2.148 * * * [progress]: picking best candidate 2.159 * * * * [pick]: Picked # 2.159 * * * [progress]: localizing error 2.191 * * * [progress]: generating rewritten candidates 2.191 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 1 1 2 1) 2.192 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1 1 1 1) 2.193 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 2.193 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 2) 2.226 * * * [progress]: generating series expansions 2.226 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 1 1 2 1) 2.226 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1 1 1 1) 2.226 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 2.226 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 2) 2.227 * [approximate]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs x) 3)) in (x) around 0 2.227 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs x) 3)) in x 2.227 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 2.227 * [taylor]: Taking taylor expansion of (pow (fabs x) 3) in x 2.227 * [taylor]: Taking taylor expansion of (fabs x) in x 2.227 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs x) 3)) in x 2.227 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 2.228 * [taylor]: Taking taylor expansion of (pow (fabs x) 3) in x 2.228 * [taylor]: Taking taylor expansion of (fabs x) in x 2.242 * [approximate]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ 1 x)) 3)) in (x) around 0 2.242 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ 1 x)) 3)) in x 2.243 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 2.243 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in x 2.243 * [taylor]: Taking taylor expansion of (fabs (/ 1 x)) in x 2.243 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ 1 x)) 3)) in x 2.243 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 2.243 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 x)) 3) in x 2.243 * [taylor]: Taking taylor expansion of (fabs (/ 1 x)) in x 2.258 * [approximate]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ -1 x)) 3)) in (x) around 0 2.258 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ -1 x)) 3)) in x 2.258 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 2.258 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in x 2.258 * [taylor]: Taking taylor expansion of (fabs (/ -1 x)) in x 2.258 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (pow (fabs (/ -1 x)) 3)) in x 2.258 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 2.258 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 x)) 3) in x 2.258 * [taylor]: Taking taylor expansion of (fabs (/ -1 x)) in x 2.272 * * * [progress]: simplifying candidates 2.274 * [simplify]: Simplifying using # : (expm1 (sqrt PI)) (log1p (sqrt PI)) (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)) (expm1 (sqrt PI)) (log1p (sqrt PI)) (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)) (exp (log1p (* (sqrt (sqrt PI)) (sqrt (sqrt PI))))) (expm1 (expm1 (log1p (* (sqrt (sqrt PI)) (sqrt (sqrt PI)))))) (log1p (expm1 (log1p (* (sqrt (sqrt PI)) (sqrt (sqrt PI)))))) (log (expm1 (log1p (* (sqrt (sqrt PI)) (sqrt (sqrt PI)))))) (exp (expm1 (log1p (* (sqrt (sqrt PI)) (sqrt (sqrt PI)))))) (* (cbrt (expm1 (log1p (* (sqrt (sqrt PI)) (sqrt (sqrt PI)))))) (cbrt (expm1 (log1p (* (sqrt (sqrt PI)) (sqrt (sqrt PI))))))) (cbrt (expm1 (log1p (* (sqrt (sqrt PI)) (sqrt (sqrt PI)))))) (* (* (expm1 (log1p (* (sqrt (sqrt PI)) (sqrt (sqrt PI))))) (expm1 (log1p (* (sqrt (sqrt PI)) (sqrt (sqrt PI)))))) (expm1 (log1p (* (sqrt (sqrt PI)) (sqrt (sqrt PI)))))) (sqrt (expm1 (log1p (* (sqrt (sqrt PI)) (sqrt (sqrt PI)))))) (sqrt (expm1 (log1p (* (sqrt (sqrt PI)) (sqrt (sqrt PI)))))) (expm1 (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (log1p (* (/ 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))) (+ (- (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))) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (* 0.6666666666666666 (pow (fabs x) 3)) (* 0.6666666666666666 (pow (fabs x) 3)) (* 0.6666666666666666 (pow (fabs x) 3)) 2.278 * * [simplify]: iteration 0 : 266 enodes (cost 416 ) 2.283 * * [simplify]: iteration 1 : 954 enodes (cost 336 ) 2.302 * * [simplify]: iteration 2 : 4584 enodes (cost 328 ) 2.403 * * [simplify]: iteration 3 : 5001 enodes (cost 326 ) 2.406 * [simplify]: Simplified to: (expm1 (sqrt PI)) (log1p (sqrt PI)) (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)) (expm1 (sqrt PI)) (log1p (sqrt PI)) (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)) (exp (log1p (* (sqrt (sqrt PI)) (sqrt (sqrt PI))))) (expm1 (sqrt PI)) (log1p (sqrt PI)) (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (sqrt PI) PI) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (expm1 (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (log1p (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (pow (fabs x) 3) (/ 2.0 3.0)) (* (pow (fabs x) 3) (/ 2.0 3.0)) (* (pow (fabs x) 3) (/ 2.0 3.0)) (fma 3 (log (fabs x)) (log (/ 2.0 3.0))) (fma 3 (log (fabs x)) (log (/ 2.0 3.0))) (fma 3 (log (fabs x)) (log (/ 2.0 3.0))) (fma 3 (log (fabs x)) (log (/ 2.0 3.0))) (fma 3 (log (fabs x)) (log (/ 2.0 3.0))) (fma 3 (log (fabs x)) (log (/ 2.0 3.0))) (fma 3 (log (fabs x)) (log (/ 2.0 3.0))) (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) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (* 0.6666666666666666 (pow (fabs x) 3)) (* 0.6666666666666666 (pow (fabs x) 3)) (* 0.6666666666666666 (pow (fabs x) 3)) 2.406 * * * [progress]: adding candidates to table 2.803 * [progress]: [Phase 3 of 3] Extracting. 2.803 * * [regime]: Finding splitpoints for: (# # # # #) 2.814 * * * [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) 2.814 * * * * [regimes]: Trying to branch on (fabs x) from (# # # # #) 2.850 * * * * [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 (# # # # #) 2.894 * * * * [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 (# # #) 2.926 * * * * [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 (# # # # #) 2.974 * * * * [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 (# # # # #) 3.025 * * * * [regimes]: Trying to branch on x from (# # # # #) 3.057 * * * [regime]: Found split indices: #