15.654 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.013 * [progress]: [Phase 2 of 3] Improving. 0.013 * [simplify]: Simplifying using # : (+ x (/ (fabs (- y x)) 2.0)) 0.016 * * [simplify]: iteration 0 : 10 enodes (cost 4 ) 0.017 * * [simplify]: iteration 1 : 11 enodes (cost 4 ) 0.018 * * [simplify]: iteration 2 : 11 enodes (cost 4 ) 0.018 * [simplify]: Simplified to: (+ x (/ (fabs (- y x)) 2.0)) 0.018 * * [progress]: iteration 1 / 4 0.018 * * * [progress]: picking best candidate 0.019 * * * * [pick]: Picked # 0.020 * * * [progress]: localizing error 0.028 * * * [progress]: generating rewritten candidates 0.028 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.035 * * * [progress]: generating series expansions 0.035 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.035 * [approximate]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in (x y) around 0 0.035 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in y 0.035 * [taylor]: Taking taylor expansion of x in y 0.035 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 0.035 * [taylor]: Taking taylor expansion of 0.5 in y 0.035 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 0.035 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 0.035 * [taylor]: Taking taylor expansion of 0.5 in x 0.035 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 0.035 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 0.035 * [taylor]: Taking taylor expansion of 0.5 in x 0.035 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 0.035 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 0.035 * [taylor]: Taking taylor expansion of 0.5 in y 0.035 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 0.036 * [taylor]: Taking taylor expansion of 1 in y 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.039 * [taylor]: Taking taylor expansion of 0 in y 0.039 * [approximate]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in (x y) around 0 0.039 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 0.039 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 0.039 * [taylor]: Taking taylor expansion of 0.5 in y 0.039 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.039 * [taylor]: Taking taylor expansion of x in y 0.039 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 0.039 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 0.039 * [taylor]: Taking taylor expansion of 0.5 in x 0.039 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 0.040 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 0.040 * [taylor]: Taking taylor expansion of 0.5 in x 0.040 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of 1 in y 0.041 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 0.041 * [taylor]: Taking taylor expansion of 0.5 in y 0.041 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [approximate]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in (x y) around 0 0.044 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in y 0.044 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 0.044 * [taylor]: Taking taylor expansion of 0.5 in y 0.045 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 0.045 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 0.045 * [taylor]: Taking taylor expansion of 0.5 in x 0.045 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 0.045 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 0.045 * [taylor]: Taking taylor expansion of 0.5 in x 0.045 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of -1 in y 0.047 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 0.047 * [taylor]: Taking taylor expansion of 0.5 in y 0.047 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.050 * * * [progress]: simplifying candidates 0.051 * [simplify]: Simplifying using # : (expm1 (+ x (/ (fabs (- y x)) 2.0))) (log1p (+ x (/ (fabs (- y x)) 2.0))) (* (exp x) (exp (/ (fabs (- y x)) 2.0))) (log (+ x (/ (fabs (- y x)) 2.0))) (exp (+ x (/ (fabs (- y x)) 2.0))) (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (+ x (/ (fabs (- y x)) 2.0))) (* (* (+ x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0))) (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3)) (+ (* x x) (- (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)) (* x (/ (fabs (- y x)) 2.0)))) (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0)) (+ x (* 0.5 (fabs (- y x)))) (+ x (* 0.5 (fabs (- y x)))) (+ x (* 0.5 (fabs (- y x)))) 0.054 * * [simplify]: iteration 0 : 88 enodes (cost 110 ) 0.056 * * [simplify]: iteration 1 : 226 enodes (cost 97 ) 0.059 * * [simplify]: iteration 2 : 540 enodes (cost 97 ) 0.067 * * [simplify]: iteration 3 : 1522 enodes (cost 97 ) 0.093 * * [simplify]: iteration 4 : 5001 enodes (cost 97 ) 0.094 * [simplify]: Simplified to: (expm1 (+ x (/ (fabs (- y x)) 2.0))) (log1p (+ x (/ (fabs (- y x)) 2.0))) (exp (+ x (/ (fabs (- y x)) 2.0))) (log (+ x (/ (fabs (- y x)) 2.0))) (exp (+ x (/ (fabs (- y x)) 2.0))) (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (+ x (/ (fabs (- y x)) 2.0))) (pow (+ x (/ (fabs (- y x)) 2.0)) 3) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3)) (fma (/ (fabs (- y x)) 2.0) (- (/ (fabs (- y x)) 2.0) x) (* x x)) (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0)) (fma (fabs (- y x)) 0.5 x) (fma (fabs (- y x)) 0.5 x) (fma (fabs (- y x)) 0.5 x) 0.094 * * * [progress]: adding candidates to table 0.136 * * [progress]: iteration 2 / 4 0.136 * * * [progress]: picking best candidate 0.144 * * * * [pick]: Picked # 0.144 * * * [progress]: localizing error 0.153 * * * [progress]: generating rewritten candidates 0.153 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.154 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.155 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.155 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.163 * * * [progress]: generating series expansions 0.163 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.163 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.163 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.163 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.163 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.163 * [taylor]: Taking taylor expansion of 1/3 in x 0.163 * [taylor]: Taking taylor expansion of (log x) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.164 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.165 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.165 * [taylor]: Taking taylor expansion of 1/3 in x 0.165 * [taylor]: Taking taylor expansion of (log x) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.219 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.219 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.219 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.219 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.219 * [taylor]: Taking taylor expansion of 1/3 in x 0.219 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.219 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.220 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.220 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.220 * [taylor]: Taking taylor expansion of 1/3 in x 0.220 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.272 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.272 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.272 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.272 * [taylor]: Taking taylor expansion of -1 in x 0.273 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.273 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.273 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.273 * [taylor]: Taking taylor expansion of 1/3 in x 0.273 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.277 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.277 * [taylor]: Taking taylor expansion of -1 in x 0.278 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.278 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.278 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.278 * [taylor]: Taking taylor expansion of 1/3 in x 0.278 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.342 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.342 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.342 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.342 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.342 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.342 * [taylor]: Taking taylor expansion of 1/3 in x 0.342 * [taylor]: Taking taylor expansion of (log x) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.342 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.343 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.343 * [taylor]: Taking taylor expansion of 1/3 in x 0.343 * [taylor]: Taking taylor expansion of (log x) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.392 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.392 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.392 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.392 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.392 * [taylor]: Taking taylor expansion of 1/3 in x 0.392 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.393 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.393 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.393 * [taylor]: Taking taylor expansion of 1/3 in x 0.393 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.393 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.444 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.444 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.444 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.444 * [taylor]: Taking taylor expansion of -1 in x 0.445 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.445 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.445 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.445 * [taylor]: Taking taylor expansion of 1/3 in x 0.445 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.445 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.446 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.446 * [taylor]: Taking taylor expansion of -1 in x 0.447 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.447 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.447 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.447 * [taylor]: Taking taylor expansion of 1/3 in x 0.447 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.447 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.510 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.510 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.510 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.510 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.510 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.510 * [taylor]: Taking taylor expansion of 1/3 in x 0.510 * [taylor]: Taking taylor expansion of (log x) in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.510 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.510 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.510 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.510 * [taylor]: Taking taylor expansion of 1/3 in x 0.510 * [taylor]: Taking taylor expansion of (log x) in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.557 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.557 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.557 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.557 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.557 * [taylor]: Taking taylor expansion of 1/3 in x 0.557 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.557 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.558 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.558 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.558 * [taylor]: Taking taylor expansion of 1/3 in x 0.558 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.558 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.609 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.610 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.610 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.610 * [taylor]: Taking taylor expansion of -1 in x 0.610 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.610 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.610 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.610 * [taylor]: Taking taylor expansion of 1/3 in x 0.610 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.610 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.611 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.611 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.611 * [taylor]: Taking taylor expansion of -1 in x 0.612 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.612 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.612 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.612 * [taylor]: Taking taylor expansion of 1/3 in x 0.612 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.612 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.612 * [taylor]: Taking taylor expansion of x in x 0.674 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.674 * [approximate]: Taking taylor expansion of (pow (pow x 2) 1/3) in (x) around 0 0.674 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 0.674 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 0.674 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 0.674 * [taylor]: Taking taylor expansion of 1/3 in x 0.674 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 0.675 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.675 * [taylor]: Taking taylor expansion of x in x 0.675 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 0.675 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 0.675 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 0.675 * [taylor]: Taking taylor expansion of 1/3 in x 0.675 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 0.675 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.675 * [taylor]: Taking taylor expansion of x in x 0.730 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 0.730 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.730 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.730 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.730 * [taylor]: Taking taylor expansion of 1/3 in x 0.730 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.730 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.730 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.731 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.731 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.731 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.731 * [taylor]: Taking taylor expansion of 1/3 in x 0.731 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.731 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.731 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.789 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in (x) around 0 0.789 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 0.789 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 0.789 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.789 * [taylor]: Taking taylor expansion of -1 in x 0.790 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.790 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.790 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.790 * [taylor]: Taking taylor expansion of 1/3 in x 0.790 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.790 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.790 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.790 * [taylor]: Taking taylor expansion of x in x 0.791 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 0.791 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 0.791 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.791 * [taylor]: Taking taylor expansion of -1 in x 0.792 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.792 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.792 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.792 * [taylor]: Taking taylor expansion of 1/3 in x 0.792 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.792 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.792 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.792 * [taylor]: Taking taylor expansion of x in x 0.867 * * * [progress]: simplifying candidates 0.868 * [simplify]: Simplifying using # : (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (* (cbrt x) (cbrt x))) (log1p (* (cbrt x) (cbrt x))) (+ 1/3 1/3) (+ 1 1) (* x x) (* (cbrt x) (cbrt x)) (+ 1 1) (+ (log (cbrt x)) (log (cbrt x))) (log (* (cbrt x) (cbrt x))) (exp (* (cbrt x) (cbrt x))) (* x x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (* (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 1 1) (* (cbrt x) (cbrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 2 1/3) (* 2 1) (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt (sqrt x))) (* (cbrt x) (cbrt 1)) (* (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt x) (sqrt (cbrt x))) (* (cbrt x) 1) (* (cbrt (cbrt x)) (cbrt x)) (* (cbrt (sqrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt (cbrt x)) (cbrt x)) (* (sqrt (cbrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 2/3) (pow (/ 1 x) -2/3) (* (pow (cbrt -1) 2) (pow (pow x 2) 1/3)) 0.872 * * [simplify]: iteration 0 : 119 enodes (cost 308 ) 0.876 * * [simplify]: iteration 1 : 477 enodes (cost 281 ) 0.889 * * [simplify]: iteration 2 : 2972 enodes (cost 258 ) 0.955 * * [simplify]: iteration 3 : 5001 enodes (cost 255 ) 0.957 * [simplify]: Simplified to: (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (* (cbrt x) (cbrt x))) (log1p (* (cbrt x) (cbrt x))) 2/3 2 (pow x 2) (pow x 2/3) 2 (* 2/3 (log x)) (* 2/3 (log x)) (exp (pow x 2/3)) (pow x 2) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (pow x 2) (fabs (pow x 1/3)) (fabs (pow x 1/3)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1 (pow x 2/3) (pow (cbrt (cbrt x)) 4) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (pow x 1/3) (pow x 1/3) 1 (pow x 2/3) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (pow x 1/3) (pow x 1/3) 2/3 2 (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt (sqrt x))) (pow x 1/3) (pow (cbrt (cbrt x)) 5) (pow (sqrt (cbrt x)) 3) (pow x 1/3) (pow (cbrt (cbrt x)) 4) (* (cbrt x) (cbrt (sqrt x))) (pow x 2/3) (pow (cbrt (cbrt x)) 4) (pow (sqrt (cbrt x)) 3) (pow x 2/3) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 2/3) (pow (/ 1 x) -2/3) (* (pow (cbrt -1) 2) (pow (pow x 2) 1/3)) 0.958 * * * [progress]: adding candidates to table 1.186 * * [progress]: iteration 3 / 4 1.186 * * * [progress]: picking best candidate 1.192 * * * * [pick]: Picked # 1.192 * * * [progress]: localizing error 1.203 * * * [progress]: generating rewritten candidates 1.203 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 1.204 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 1.204 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.205 * * * [progress]: generating series expansions 1.205 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 1.206 * [approximate]: Taking taylor expansion of (pow (pow x 2) 1/3) in (x) around 0 1.206 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 1.206 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 1.206 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 1.206 * [taylor]: Taking taylor expansion of 1/3 in x 1.206 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 1.206 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.206 * [taylor]: Taking taylor expansion of x in x 1.207 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 1.207 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 1.207 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 1.207 * [taylor]: Taking taylor expansion of 1/3 in x 1.207 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 1.207 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.207 * [taylor]: Taking taylor expansion of x in x 1.262 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 1.262 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.262 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.262 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.262 * [taylor]: Taking taylor expansion of 1/3 in x 1.262 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.262 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.262 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.262 * [taylor]: Taking taylor expansion of x in x 1.263 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.263 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.263 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.263 * [taylor]: Taking taylor expansion of 1/3 in x 1.263 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.263 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.263 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.263 * [taylor]: Taking taylor expansion of x in x 1.321 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 1.321 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.321 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.321 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.321 * [taylor]: Taking taylor expansion of 1/3 in x 1.321 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.322 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.322 * [taylor]: Taking taylor expansion of x in x 1.323 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.323 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.323 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.323 * [taylor]: Taking taylor expansion of 1/3 in x 1.323 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.323 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.323 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.323 * [taylor]: Taking taylor expansion of x in x 1.382 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 1.382 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.382 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.382 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.382 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.382 * [taylor]: Taking taylor expansion of 1/3 in x 1.382 * [taylor]: Taking taylor expansion of (log x) in x 1.382 * [taylor]: Taking taylor expansion of x in x 1.383 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.383 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.383 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.383 * [taylor]: Taking taylor expansion of 1/3 in x 1.383 * [taylor]: Taking taylor expansion of (log x) in x 1.383 * [taylor]: Taking taylor expansion of x in x 1.430 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.430 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.430 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.430 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.430 * [taylor]: Taking taylor expansion of 1/3 in x 1.430 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.430 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.430 * [taylor]: Taking taylor expansion of x in x 1.431 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.431 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.431 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.431 * [taylor]: Taking taylor expansion of 1/3 in x 1.431 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.431 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.431 * [taylor]: Taking taylor expansion of x in x 1.487 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.487 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.487 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.487 * [taylor]: Taking taylor expansion of -1 in x 1.488 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.488 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.488 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.488 * [taylor]: Taking taylor expansion of 1/3 in x 1.488 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.488 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.488 * [taylor]: Taking taylor expansion of x in x 1.489 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.489 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.489 * [taylor]: Taking taylor expansion of -1 in x 1.489 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.489 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.489 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.489 * [taylor]: Taking taylor expansion of 1/3 in x 1.489 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.490 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.490 * [taylor]: Taking taylor expansion of x in x 1.556 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.556 * [approximate]: Taking taylor expansion of (fma (pow (pow x 2) 1/3) (pow x 1/3) (* 0.5 (fabs (- y x)))) in (x y) around 0 1.556 * [taylor]: Taking taylor expansion of (fma (pow (pow x 2) 1/3) (pow x 1/3) (* 0.5 (fabs (- y x)))) in y 1.556 * [taylor]: Rewrote expression to (+ (* (pow (pow x 2) 1/3) (pow x 1/3)) (* 0.5 (fabs (- y x)))) 1.556 * [taylor]: Taking taylor expansion of (* (pow (pow x 2) 1/3) (pow x 1/3)) in y 1.556 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in y 1.556 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in y 1.556 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in y 1.556 * [taylor]: Taking taylor expansion of 1/3 in y 1.556 * [taylor]: Taking taylor expansion of (log (pow x 2)) in y 1.556 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.556 * [taylor]: Taking taylor expansion of x in y 1.556 * [taylor]: Taking taylor expansion of (pow x 1/3) in y 1.556 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in y 1.556 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in y 1.556 * [taylor]: Taking taylor expansion of 1/3 in y 1.556 * [taylor]: Taking taylor expansion of (log x) in y 1.556 * [taylor]: Taking taylor expansion of x in y 1.556 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 1.557 * [taylor]: Taking taylor expansion of 0.5 in y 1.557 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.557 * [taylor]: Taking taylor expansion of (fma (pow (pow x 2) 1/3) (pow x 1/3) (* 0.5 (fabs (- y x)))) in x 1.557 * [taylor]: Rewrote expression to (+ (* (pow (pow x 2) 1/3) (pow x 1/3)) (* 0.5 (fabs (- y x)))) 1.557 * [taylor]: Taking taylor expansion of (* (pow (pow x 2) 1/3) (pow x 1/3)) in x 1.557 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 1.557 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 1.557 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 1.557 * [taylor]: Taking taylor expansion of 1/3 in x 1.557 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 1.557 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.557 * [taylor]: Taking taylor expansion of x in x 1.558 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.558 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.558 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.558 * [taylor]: Taking taylor expansion of 1/3 in x 1.558 * [taylor]: Taking taylor expansion of (log x) in x 1.558 * [taylor]: Taking taylor expansion of x in x 1.558 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 1.558 * [taylor]: Taking taylor expansion of 0.5 in x 1.559 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 1.559 * [taylor]: Taking taylor expansion of (fma (pow (pow x 2) 1/3) (pow x 1/3) (* 0.5 (fabs (- y x)))) in x 1.559 * [taylor]: Rewrote expression to (+ (* (pow (pow x 2) 1/3) (pow x 1/3)) (* 0.5 (fabs (- y x)))) 1.559 * [taylor]: Taking taylor expansion of (* (pow (pow x 2) 1/3) (pow x 1/3)) in x 1.559 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 1.559 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 1.559 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 1.559 * [taylor]: Taking taylor expansion of 1/3 in x 1.559 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 1.559 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.559 * [taylor]: Taking taylor expansion of x in x 1.560 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.560 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.560 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.560 * [taylor]: Taking taylor expansion of 1/3 in x 1.560 * [taylor]: Taking taylor expansion of (log x) in x 1.560 * [taylor]: Taking taylor expansion of x in x 1.560 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 1.560 * [taylor]: Taking taylor expansion of 0.5 in x 1.560 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 1.561 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in y 1.561 * [taylor]: Taking taylor expansion of x in y 1.561 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 1.561 * [taylor]: Taking taylor expansion of 0.5 in y 1.561 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.565 * [taylor]: Taking taylor expansion of 0 in y 1.573 * [taylor]: Taking taylor expansion of 0 in y 1.584 * [taylor]: Taking taylor expansion of 0 in y 1.585 * [approximate]: Taking taylor expansion of (fma (pow (/ 1 (pow x 2)) 1/3) (pow (/ 1 x) 1/3) (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) in (x y) around 0 1.585 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 (pow x 2)) 1/3) (pow (/ 1 x) 1/3) (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) in y 1.585 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 (pow x 2)) 1/3) (pow (/ 1 x) 1/3)) (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) 1.585 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (pow (/ 1 x) 1/3)) in y 1.585 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.585 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.585 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.585 * [taylor]: Taking taylor expansion of 1/3 in y 1.585 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.585 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.585 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.585 * [taylor]: Taking taylor expansion of x in y 1.586 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 1.586 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 1.586 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 1.586 * [taylor]: Taking taylor expansion of 1/3 in y 1.586 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 1.586 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.586 * [taylor]: Taking taylor expansion of x in y 1.586 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.586 * [taylor]: Taking taylor expansion of 0.5 in y 1.586 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.586 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 (pow x 2)) 1/3) (pow (/ 1 x) 1/3) (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) in x 1.586 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 (pow x 2)) 1/3) (pow (/ 1 x) 1/3)) (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) 1.586 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (pow (/ 1 x) 1/3)) in x 1.586 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.586 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.586 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.586 * [taylor]: Taking taylor expansion of 1/3 in x 1.586 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.586 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.586 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.586 * [taylor]: Taking taylor expansion of x in x 1.587 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.587 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.587 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.587 * [taylor]: Taking taylor expansion of 1/3 in x 1.587 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.587 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.587 * [taylor]: Taking taylor expansion of x in x 1.588 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 1.588 * [taylor]: Taking taylor expansion of 0.5 in x 1.588 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.588 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 (pow x 2)) 1/3) (pow (/ 1 x) 1/3) (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) in x 1.588 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 (pow x 2)) 1/3) (pow (/ 1 x) 1/3)) (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) 1.588 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (pow (/ 1 x) 1/3)) in x 1.588 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.588 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.588 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.589 * [taylor]: Taking taylor expansion of 1/3 in x 1.589 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.589 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.589 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.589 * [taylor]: Taking taylor expansion of x in x 1.590 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.590 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.590 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.590 * [taylor]: Taking taylor expansion of 1/3 in x 1.590 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.590 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.590 * [taylor]: Taking taylor expansion of x in x 1.591 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 1.591 * [taylor]: Taking taylor expansion of 0.5 in x 1.591 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.591 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 1.591 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.591 * [taylor]: Taking taylor expansion of 0.5 in y 1.591 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.591 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.591 * [taylor]: Taking taylor expansion of x in y 1.602 * [taylor]: Taking taylor expansion of 0 in y 1.612 * [taylor]: Taking taylor expansion of 0 in y 1.624 * [taylor]: Taking taylor expansion of 0 in y 1.625 * [approximate]: Taking taylor expansion of (fma (pow (/ 1 (pow x 2)) 1/3) (* (cbrt -1) (pow (/ 1 x) 1/3)) (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) in (x y) around 0 1.625 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 (pow x 2)) 1/3) (* (cbrt -1) (pow (/ 1 x) 1/3)) (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) in y 1.625 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 (pow x 2)) 1/3) (* (cbrt -1) (pow (/ 1 x) 1/3))) (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) 1.625 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (* (cbrt -1) (pow (/ 1 x) 1/3))) in y 1.625 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.625 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.625 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.625 * [taylor]: Taking taylor expansion of 1/3 in y 1.625 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.625 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.625 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.625 * [taylor]: Taking taylor expansion of x in y 1.626 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in y 1.626 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.626 * [taylor]: Taking taylor expansion of -1 in y 1.626 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 1.626 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 1.626 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 1.626 * [taylor]: Taking taylor expansion of 1/3 in y 1.626 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 1.626 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.626 * [taylor]: Taking taylor expansion of x in y 1.627 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 1.627 * [taylor]: Taking taylor expansion of 0.5 in y 1.627 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.627 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 (pow x 2)) 1/3) (* (cbrt -1) (pow (/ 1 x) 1/3)) (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) in x 1.627 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 (pow x 2)) 1/3) (* (cbrt -1) (pow (/ 1 x) 1/3))) (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) 1.627 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (* (cbrt -1) (pow (/ 1 x) 1/3))) in x 1.627 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.627 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.627 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.627 * [taylor]: Taking taylor expansion of 1/3 in x 1.627 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.627 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.627 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.627 * [taylor]: Taking taylor expansion of x in x 1.628 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.628 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.628 * [taylor]: Taking taylor expansion of -1 in x 1.629 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.629 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.629 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.629 * [taylor]: Taking taylor expansion of 1/3 in x 1.629 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.629 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.629 * [taylor]: Taking taylor expansion of x in x 1.630 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 1.630 * [taylor]: Taking taylor expansion of 0.5 in x 1.630 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.630 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 (pow x 2)) 1/3) (* (cbrt -1) (pow (/ 1 x) 1/3)) (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) in x 1.630 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 (pow x 2)) 1/3) (* (cbrt -1) (pow (/ 1 x) 1/3))) (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) 1.630 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (* (cbrt -1) (pow (/ 1 x) 1/3))) in x 1.630 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.630 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.630 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.630 * [taylor]: Taking taylor expansion of 1/3 in x 1.630 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.630 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.630 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.630 * [taylor]: Taking taylor expansion of x in x 1.631 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.631 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.631 * [taylor]: Taking taylor expansion of -1 in x 1.632 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.632 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.632 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.632 * [taylor]: Taking taylor expansion of 1/3 in x 1.632 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.632 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.632 * [taylor]: Taking taylor expansion of x in x 1.633 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 1.633 * [taylor]: Taking taylor expansion of 0.5 in x 1.633 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.634 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ (cbrt -1) x)) in y 1.634 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 1.634 * [taylor]: Taking taylor expansion of 0.5 in y 1.634 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.635 * [taylor]: Taking taylor expansion of (/ (cbrt -1) x) in y 1.635 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.635 * [taylor]: Taking taylor expansion of -1 in y 1.635 * [taylor]: Taking taylor expansion of x in y 1.643 * [taylor]: Taking taylor expansion of 0 in y 1.654 * [taylor]: Taking taylor expansion of 0 in y 1.671 * [taylor]: Taking taylor expansion of 0 in y 1.672 * * * [progress]: simplifying candidates 1.673 * [simplify]: Simplifying using # : (expm1 (cbrt (pow x 2))) (log1p (cbrt (pow x 2))) (log (cbrt (pow x 2))) (exp (cbrt (pow x 2))) (cbrt (pow (* (cbrt x) (cbrt x)) 2)) (cbrt (pow (cbrt x) 2)) (cbrt (pow (sqrt x) 2)) (cbrt (pow (sqrt x) 2)) (cbrt (pow 1 2)) (cbrt (pow x 2)) (cbrt x) (cbrt x) (cbrt (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (cbrt (cbrt (pow x 2))) (cbrt (sqrt (pow x 2))) (cbrt (sqrt (pow x 2))) (cbrt 1) (cbrt (pow x 2)) (cbrt (pow x (/ 2 2))) (cbrt (pow x (/ 2 2))) (* (cbrt (cbrt (pow x 2))) (cbrt (cbrt (pow x 2)))) (cbrt (cbrt (pow x 2))) (* (* (cbrt (pow x 2)) (cbrt (pow x 2))) (cbrt (pow x 2))) (sqrt (cbrt (pow x 2))) (sqrt (cbrt (pow x 2))) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (fma (cbrt (pow x 2)) (cbrt x) (/ (fabs (- y x)) 2.0))) (log1p (fma (cbrt (pow x 2)) (cbrt x) (/ (fabs (- y x)) 2.0))) (* (cbrt (pow x 2)) (cbrt x)) (log (fma (cbrt (pow x 2)) (cbrt x) (/ (fabs (- y x)) 2.0))) (exp (fma (cbrt (pow x 2)) (cbrt x) (/ (fabs (- y x)) 2.0))) (* (cbrt (fma (cbrt (pow x 2)) (cbrt x) (/ (fabs (- y x)) 2.0))) (cbrt (fma (cbrt (pow x 2)) (cbrt x) (/ (fabs (- y x)) 2.0)))) (cbrt (fma (cbrt (pow x 2)) (cbrt x) (/ (fabs (- y x)) 2.0))) (* (* (fma (cbrt (pow x 2)) (cbrt x) (/ (fabs (- y x)) 2.0)) (fma (cbrt (pow x 2)) (cbrt x) (/ (fabs (- y x)) 2.0))) (fma (cbrt (pow x 2)) (cbrt x) (/ (fabs (- y x)) 2.0))) (sqrt (fma (cbrt (pow x 2)) (cbrt x) (/ (fabs (- y x)) 2.0))) (sqrt (fma (cbrt (pow x 2)) (cbrt x) (/ (fabs (- y x)) 2.0))) (pow x 2/3) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (+ x (* 0.5 (fabs (- y x)))) (+ x (* 0.5 (fabs (- y x)))) (- (* 0.5 (fabs (- y x))) (* (cbrt -1) x)) 1.676 * * [simplify]: iteration 0 : 131 enodes (cost 235 ) 1.679 * * [simplify]: iteration 1 : 336 enodes (cost 207 ) 1.686 * * [simplify]: iteration 2 : 1214 enodes (cost 200 ) 1.717 * * [simplify]: iteration 3 : 5002 enodes (cost 200 ) 1.719 * [simplify]: Simplified to: (expm1 (cbrt (pow x 2))) (log1p (cbrt (pow x 2))) (log (cbrt (pow x 2))) (exp (cbrt (pow x 2))) (cbrt (pow (* (cbrt x) (cbrt x)) 2)) (cbrt (pow (cbrt x) 2)) (pow x 1/3) (pow x 1/3) 1 (cbrt (pow x 2)) (pow x 1/3) (pow x 1/3) (cbrt (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (cbrt (cbrt (pow x 2))) (cbrt (sqrt (pow x 2))) (cbrt (sqrt (pow x 2))) 1 (cbrt (pow x 2)) (pow x 1/3) (pow x 1/3) (* (cbrt (cbrt (pow x 2))) (cbrt (cbrt (pow x 2)))) (cbrt (cbrt (pow x 2))) (pow x 2) (sqrt (cbrt (pow x 2))) (sqrt (cbrt (pow x 2))) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (pow (cbrt x) 2)) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (pow (pow x 1/3) 1/2) (pow (pow x 1/3) 1/2) (expm1 (fma (cbrt (pow x 2)) (cbrt x) (/ (fabs (- y x)) 2.0))) (log1p (fma (cbrt (pow x 2)) (cbrt x) (/ (fabs (- y x)) 2.0))) (* (cbrt (pow x 2)) (cbrt x)) (log (fma (cbrt (pow x 2)) (cbrt x) (/ (fabs (- y x)) 2.0))) (exp (fma (cbrt (pow x 2)) (cbrt x) (/ (fabs (- y x)) 2.0))) (* (cbrt (fma (cbrt (pow x 2)) (cbrt x) (/ (fabs (- y x)) 2.0))) (cbrt (fma (cbrt (pow x 2)) (cbrt x) (/ (fabs (- y x)) 2.0)))) (cbrt (fma (cbrt (pow x 2)) (cbrt x) (/ (fabs (- y x)) 2.0))) (pow (fma (cbrt (pow x 2)) (cbrt x) (/ (fabs (- y x)) 2.0)) 3) (sqrt (fma (cbrt (pow x 2)) (cbrt x) (/ (fabs (- y x)) 2.0))) (sqrt (fma (cbrt (pow x 2)) (cbrt x) (/ (fabs (- y x)) 2.0))) (pow x 2/3) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (fma (fabs (- y x)) 0.5 x) (fma (fabs (- y x)) 0.5 x) (- (* 0.5 (fabs (- y x))) (* (cbrt -1) x)) 1.719 * * * [progress]: adding candidates to table 1.879 * * [progress]: iteration 4 / 4 1.879 * * * [progress]: picking best candidate 1.883 * * * * [pick]: Picked # 1.883 * * * [progress]: localizing error 1.890 * * * [progress]: generating rewritten candidates 1.890 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.891 * * * [progress]: generating series expansions 1.891 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.891 * [approximate]: Taking taylor expansion of (fma (sqrt x) (sqrt x) (* 0.5 (fabs (- y x)))) in (x y) around 0 1.891 * [taylor]: Taking taylor expansion of (fma (sqrt x) (sqrt x) (* 0.5 (fabs (- y x)))) in y 1.891 * [taylor]: Rewrote expression to (+ (* (sqrt x) (sqrt x)) (* 0.5 (fabs (- y x)))) 1.891 * [taylor]: Taking taylor expansion of (* (sqrt x) (sqrt x)) in y 1.891 * [taylor]: Taking taylor expansion of (sqrt x) in y 1.891 * [taylor]: Taking taylor expansion of x in y 1.891 * [taylor]: Taking taylor expansion of (sqrt x) in y 1.891 * [taylor]: Taking taylor expansion of x in y 1.891 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 1.891 * [taylor]: Taking taylor expansion of 0.5 in y 1.891 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.891 * [taylor]: Taking taylor expansion of (fma (sqrt x) (sqrt x) (* 0.5 (fabs (- y x)))) in x 1.891 * [taylor]: Rewrote expression to (+ (* (sqrt x) (sqrt x)) (* 0.5 (fabs (- y x)))) 1.891 * [taylor]: Taking taylor expansion of (* (sqrt x) (sqrt x)) in x 1.891 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.891 * [taylor]: Taking taylor expansion of x in x 1.893 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.893 * [taylor]: Taking taylor expansion of x in x 1.894 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 1.894 * [taylor]: Taking taylor expansion of 0.5 in x 1.894 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 1.894 * [taylor]: Taking taylor expansion of (fma (sqrt x) (sqrt x) (* 0.5 (fabs (- y x)))) in x 1.894 * [taylor]: Rewrote expression to (+ (* (sqrt x) (sqrt x)) (* 0.5 (fabs (- y x)))) 1.894 * [taylor]: Taking taylor expansion of (* (sqrt x) (sqrt x)) in x 1.894 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.894 * [taylor]: Taking taylor expansion of x in x 1.895 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.895 * [taylor]: Taking taylor expansion of x in x 1.896 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 1.896 * [taylor]: Taking taylor expansion of 0.5 in x 1.896 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 1.897 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 1.897 * [taylor]: Taking taylor expansion of 0.5 in y 1.897 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.898 * [taylor]: Taking taylor expansion of 0 in y 1.904 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.904 * [taylor]: Taking taylor expansion of +nan.0 in y 1.913 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.913 * [taylor]: Taking taylor expansion of +nan.0 in y 1.918 * [approximate]: Taking taylor expansion of (fma (sqrt (/ 1 x)) (sqrt (/ 1 x)) (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) in (x y) around 0 1.918 * [taylor]: Taking taylor expansion of (fma (sqrt (/ 1 x)) (sqrt (/ 1 x)) (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) in y 1.919 * [taylor]: Rewrote expression to (+ (* (sqrt (/ 1 x)) (sqrt (/ 1 x))) (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) 1.919 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (/ 1 x))) in y 1.919 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 1.919 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.919 * [taylor]: Taking taylor expansion of x in y 1.919 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 1.919 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.919 * [taylor]: Taking taylor expansion of x in y 1.919 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.919 * [taylor]: Taking taylor expansion of 0.5 in y 1.919 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.919 * [taylor]: Taking taylor expansion of (fma (sqrt (/ 1 x)) (sqrt (/ 1 x)) (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) in x 1.919 * [taylor]: Rewrote expression to (+ (* (sqrt (/ 1 x)) (sqrt (/ 1 x))) (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) 1.919 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (/ 1 x))) in x 1.919 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.919 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.919 * [taylor]: Taking taylor expansion of x in x 1.921 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.921 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.921 * [taylor]: Taking taylor expansion of x in x 1.922 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 1.922 * [taylor]: Taking taylor expansion of 0.5 in x 1.922 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.922 * [taylor]: Taking taylor expansion of (fma (sqrt (/ 1 x)) (sqrt (/ 1 x)) (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) in x 1.922 * [taylor]: Rewrote expression to (+ (* (sqrt (/ 1 x)) (sqrt (/ 1 x))) (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) 1.922 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (/ 1 x))) in x 1.922 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.922 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.922 * [taylor]: Taking taylor expansion of x in x 1.924 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.924 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.924 * [taylor]: Taking taylor expansion of x in x 1.925 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 1.925 * [taylor]: Taking taylor expansion of 0.5 in x 1.925 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.925 * [taylor]: Taking taylor expansion of 0 in y 1.926 * [taylor]: Taking taylor expansion of 0 in y 1.933 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0) in y 1.933 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.933 * [taylor]: Taking taylor expansion of 0.5 in y 1.933 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.933 * [taylor]: Taking taylor expansion of +nan.0 in y 1.942 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.942 * [taylor]: Taking taylor expansion of +nan.0 in y 1.954 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.954 * [taylor]: Taking taylor expansion of +nan.0 in y 1.955 * [approximate]: Taking taylor expansion of (fma (sqrt (/ -1 x)) (sqrt (/ -1 x)) (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) in (x y) around 0 1.955 * [taylor]: Taking taylor expansion of (fma (sqrt (/ -1 x)) (sqrt (/ -1 x)) (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) in y 1.956 * [taylor]: Rewrote expression to (+ (* (sqrt (/ -1 x)) (sqrt (/ -1 x))) (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) 1.956 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 x)) (sqrt (/ -1 x))) in y 1.956 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 1.956 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.956 * [taylor]: Taking taylor expansion of -1 in y 1.956 * [taylor]: Taking taylor expansion of x in y 1.956 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 1.956 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.956 * [taylor]: Taking taylor expansion of -1 in y 1.956 * [taylor]: Taking taylor expansion of x in y 1.956 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 1.956 * [taylor]: Taking taylor expansion of 0.5 in y 1.956 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.956 * [taylor]: Taking taylor expansion of (fma (sqrt (/ -1 x)) (sqrt (/ -1 x)) (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) in x 1.956 * [taylor]: Rewrote expression to (+ (* (sqrt (/ -1 x)) (sqrt (/ -1 x))) (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) 1.956 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 x)) (sqrt (/ -1 x))) in x 1.956 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.956 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.956 * [taylor]: Taking taylor expansion of -1 in x 1.956 * [taylor]: Taking taylor expansion of x in x 1.958 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.958 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.958 * [taylor]: Taking taylor expansion of -1 in x 1.958 * [taylor]: Taking taylor expansion of x in x 1.959 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 1.959 * [taylor]: Taking taylor expansion of 0.5 in x 1.959 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.959 * [taylor]: Taking taylor expansion of (fma (sqrt (/ -1 x)) (sqrt (/ -1 x)) (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) in x 1.959 * [taylor]: Rewrote expression to (+ (* (sqrt (/ -1 x)) (sqrt (/ -1 x))) (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) 1.959 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 x)) (sqrt (/ -1 x))) in x 1.959 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.959 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.959 * [taylor]: Taking taylor expansion of -1 in x 1.959 * [taylor]: Taking taylor expansion of x in x 1.960 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.960 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.961 * [taylor]: Taking taylor expansion of -1 in x 1.961 * [taylor]: Taking taylor expansion of x in x 1.962 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 1.962 * [taylor]: Taking taylor expansion of 0.5 in x 1.962 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.962 * [taylor]: Taking taylor expansion of 0 in y 1.963 * [taylor]: Taking taylor expansion of 0 in y 1.969 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0) in y 1.969 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 1.969 * [taylor]: Taking taylor expansion of 0.5 in y 1.969 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.969 * [taylor]: Taking taylor expansion of +nan.0 in y 1.979 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.979 * [taylor]: Taking taylor expansion of +nan.0 in y 1.990 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.991 * [taylor]: Taking taylor expansion of +nan.0 in y 1.992 * * * [progress]: simplifying candidates 1.992 * [simplify]: Simplifying using # : (expm1 (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))) (log1p (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))) (* (sqrt x) (sqrt x)) (log (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))) (exp (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))) (* (cbrt (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))) (cbrt (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0)))) (cbrt (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))) (* (* (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0)) (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))) (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))) (sqrt (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))) (sqrt (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))) (- (* 0.5 (fabs (- y x))) (+ (* +nan.0 (pow x 2)) (- (* +nan.0 (pow x 3))))) (- (* 0.5 (fabs (- y x))) (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (* 0.5 (fabs (- y x))) (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1.995 * * [simplify]: iteration 0 : 88 enodes (cost 117 ) 1.997 * * [simplify]: iteration 1 : 275 enodes (cost 101 ) 2.003 * * [simplify]: iteration 2 : 1326 enodes (cost 95 ) 2.033 * * [simplify]: iteration 3 : 5001 enodes (cost 92 ) 2.034 * [simplify]: Simplified to: (expm1 (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))) (log1p (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))) x (log (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))) (* (exp x) (exp (/ (fabs (- y x)) 2.0))) (* (cbrt (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))) (cbrt (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0)))) (cbrt (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))) (pow (+ (/ (fabs (- y x)) 2.0) x) 3) (sqrt (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))) (sqrt (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))) (fma (- +nan.0) (fma x x (- (pow x 3))) (* 0.5 (fabs (- y x)))) (- (fma (fabs (- y x)) 0.5 (/ +nan.0 x)) (fma +nan.0 1 (/ +nan.0 (pow x 2)))) (- (fma (fabs (- y x)) 0.5 (/ +nan.0 x)) (fma +nan.0 1 (/ +nan.0 (pow x 2)))) 2.034 * * * [progress]: adding candidates to table 2.069 * [progress]: [Phase 3 of 3] Extracting. 2.069 * * [regime]: Finding splitpoints for: (# # # #) 2.069 * * * [regime-changes]: Trying 3 branch expressions: ((+ x (/ (fabs (- y x)) 2.0)) y x) 2.069 * * * * [regimes]: Trying to branch on (+ x (/ (fabs (- y x)) 2.0)) from (# # # #) 2.093 * * * * [regimes]: Trying to branch on y from (# # # #) 2.109 * * * * [regimes]: Trying to branch on x from (# # # #) 2.126 * * * [regime]: Found split indices: #