20.092 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying using # : (+ x (/ (- x y) 2.0)) 0.024 * * [simplify]: iteration 0 : 12 enodes (cost 3 ) 0.026 * * [simplify]: iteration 1 : 19 enodes (cost 3 ) 0.028 * * [simplify]: iteration 2 : 29 enodes (cost 3 ) 0.031 * * [simplify]: iteration 3 : 41 enodes (cost 3 ) 0.033 * * [simplify]: iteration 4 : 51 enodes (cost 3 ) 0.035 * * [simplify]: iteration 5 : 79 enodes (cost 3 ) 0.038 * * [simplify]: iteration 6 : 134 enodes (cost 3 ) 0.040 * * [simplify]: iteration 7 : 169 enodes (cost 3 ) 0.043 * * [simplify]: iteration 8 : 185 enodes (cost 3 ) 0.046 * * [simplify]: iteration 9 : 213 enodes (cost 3 ) 0.049 * * [simplify]: iteration 10 : 226 enodes (cost 3 ) 0.052 * * [simplify]: iteration 11 : 226 enodes (cost 3 ) 0.052 * [simplify]: Simplified to: (+ x (/ (- x y) 2.0)) 0.052 * * [progress]: iteration 1 / 4 0.052 * * * [progress]: picking best candidate 0.054 * * * * [pick]: Picked # 0.054 * * * [progress]: localizing error 0.059 * * * [progress]: generating rewritten candidates 0.059 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.073 * * * [progress]: generating series expansions 0.073 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.073 * [approximate]: Taking taylor expansion of (- (* 1.5 x) (* 0.5 y)) in (x y) around 0 0.073 * [taylor]: Taking taylor expansion of (- (* 1.5 x) (* 0.5 y)) in y 0.074 * [taylor]: Taking taylor expansion of (* 1.5 x) in y 0.074 * [taylor]: Taking taylor expansion of 1.5 in y 0.074 * [taylor]: Taking taylor expansion of x in y 0.074 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.074 * [taylor]: Taking taylor expansion of 0.5 in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of (- (* 1.5 x) (* 0.5 y)) in x 0.074 * [taylor]: Taking taylor expansion of (* 1.5 x) in x 0.074 * [taylor]: Taking taylor expansion of 1.5 in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 0.074 * [taylor]: Taking taylor expansion of 0.5 in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [taylor]: Taking taylor expansion of (- (* 1.5 x) (* 0.5 y)) in x 0.074 * [taylor]: Taking taylor expansion of (* 1.5 x) in x 0.074 * [taylor]: Taking taylor expansion of 1.5 in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 0.074 * [taylor]: Taking taylor expansion of 0.5 in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.075 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.075 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.075 * [taylor]: Taking taylor expansion of 0.5 in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.077 * [taylor]: Taking taylor expansion of 1.5 in y 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.084 * [approximate]: Taking taylor expansion of (- (* 1.5 (/ 1 x)) (* 0.5 (/ 1 y))) in (x y) around 0 0.084 * [taylor]: Taking taylor expansion of (- (* 1.5 (/ 1 x)) (* 0.5 (/ 1 y))) in y 0.084 * [taylor]: Taking taylor expansion of (* 1.5 (/ 1 x)) in y 0.084 * [taylor]: Taking taylor expansion of 1.5 in y 0.084 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.084 * [taylor]: Taking taylor expansion of x in y 0.084 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.084 * [taylor]: Taking taylor expansion of 0.5 in y 0.084 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.084 * [taylor]: Taking taylor expansion of y in y 0.084 * [taylor]: Taking taylor expansion of (- (* 1.5 (/ 1 x)) (* 0.5 (/ 1 y))) in x 0.085 * [taylor]: Taking taylor expansion of (* 1.5 (/ 1 x)) in x 0.085 * [taylor]: Taking taylor expansion of 1.5 in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in x 0.085 * [taylor]: Taking taylor expansion of 0.5 in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [taylor]: Taking taylor expansion of (- (* 1.5 (/ 1 x)) (* 0.5 (/ 1 y))) in x 0.085 * [taylor]: Taking taylor expansion of (* 1.5 (/ 1 x)) in x 0.085 * [taylor]: Taking taylor expansion of 1.5 in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in x 0.085 * [taylor]: Taking taylor expansion of 0.5 in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.086 * [taylor]: Taking taylor expansion of 1.5 in y 0.087 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y))) in y 0.087 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.087 * [taylor]: Taking taylor expansion of 0.5 in y 0.087 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.094 * [taylor]: Taking taylor expansion of 0 in y 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.098 * [approximate]: Taking taylor expansion of (- (* 0.5 (/ 1 y)) (* 1.5 (/ 1 x))) in (x y) around 0 0.098 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y)) (* 1.5 (/ 1 x))) in y 0.098 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.099 * [taylor]: Taking taylor expansion of 0.5 in y 0.099 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.099 * [taylor]: Taking taylor expansion of y in y 0.099 * [taylor]: Taking taylor expansion of (* 1.5 (/ 1 x)) in y 0.099 * [taylor]: Taking taylor expansion of 1.5 in y 0.099 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.099 * [taylor]: Taking taylor expansion of x in y 0.099 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y)) (* 1.5 (/ 1 x))) in x 0.099 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in x 0.099 * [taylor]: Taking taylor expansion of 0.5 in x 0.099 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.099 * [taylor]: Taking taylor expansion of y in x 0.099 * [taylor]: Taking taylor expansion of (* 1.5 (/ 1 x)) in x 0.099 * [taylor]: Taking taylor expansion of 1.5 in x 0.099 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y)) (* 1.5 (/ 1 x))) in x 0.100 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in x 0.100 * [taylor]: Taking taylor expansion of 0.5 in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.100 * [taylor]: Taking taylor expansion of y in x 0.100 * [taylor]: Taking taylor expansion of (* 1.5 (/ 1 x)) in x 0.100 * [taylor]: Taking taylor expansion of 1.5 in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of (- 1.5) in y 0.101 * [taylor]: Taking taylor expansion of 1.5 in y 0.103 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.103 * [taylor]: Taking taylor expansion of 0.5 in y 0.103 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.103 * [taylor]: Taking taylor expansion of y in y 0.106 * [taylor]: Taking taylor expansion of 0 in y 0.109 * [taylor]: Taking taylor expansion of 0 in y 0.118 * [taylor]: Taking taylor expansion of 0 in y 0.119 * * * [progress]: simplifying candidates 0.120 * [simplify]: Simplifying using # : (expm1 (+ x (/ (- x y) 2.0))) (log1p (+ x (/ (- x y) 2.0))) (* (exp x) (exp (/ (- x y) 2.0))) (log (+ x (/ (- x y) 2.0))) (exp (+ x (/ (- x y) 2.0))) (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))) (cbrt (+ x (/ (- x y) 2.0))) (* (* (+ x (/ (- x y) 2.0)) (+ x (/ (- x y) 2.0))) (+ x (/ (- x y) 2.0))) (sqrt (+ x (/ (- x y) 2.0))) (sqrt (+ x (/ (- x y) 2.0))) (+ (pow x 3) (pow (/ (- x y) 2.0) 3)) (+ (* x x) (- (* (/ (- x y) 2.0) (/ (- x y) 2.0)) (* x (/ (- x y) 2.0)))) (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (- x (/ (- x y) 2.0)) (+ x (/ (- x y) 2.0)) (+ x (/ x 2.0)) (- (* 1.5 x) (* 0.5 y)) (- (* 1.5 x) (* 0.5 y)) (- (* 1.5 x) (* 0.5 y)) 0.123 * * [simplify]: iteration 0 : 97 enodes (cost 89 ) 0.127 * * [simplify]: iteration 1 : 261 enodes (cost 81 ) 0.133 * * [simplify]: iteration 2 : 773 enodes (cost 81 ) 0.153 * * [simplify]: iteration 3 : 3727 enodes (cost 81 ) 0.215 * * [simplify]: iteration 4 : 5001 enodes (cost 80 ) 0.217 * [simplify]: Simplified to: (expm1 (+ x (/ (- x y) 2.0))) (log1p (+ x (/ (- x y) 2.0))) (exp (+ x (/ (- x y) 2.0))) (log (+ x (/ (- x y) 2.0))) (exp (+ x (/ (- x y) 2.0))) (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))) (cbrt (+ x (/ (- x y) 2.0))) (pow (+ x (/ (- x y) 2.0)) 3) (sqrt (+ x (/ (- x y) 2.0))) (sqrt (+ x (/ (- x y) 2.0))) (+ (pow x 3) (pow (/ (- x y) 2.0) 3)) (fma (/ (- x y) 2.0) (- (/ (- x y) 2.0) x) (* x x)) (fma (/ (- x y) (* 2.0 2.0)) (- y x) (* x x)) (- x (/ (- x y) 2.0)) (+ x (/ (- x y) 2.0)) (+ x (/ x 2.0)) (- (* 1.5 x) (* 0.5 y)) (- (* 1.5 x) (* 0.5 y)) (- (* 1.5 x) (* 0.5 y)) 0.217 * * * [progress]: adding candidates to table 0.258 * * [progress]: iteration 2 / 4 0.258 * * * [progress]: picking best candidate 0.277 * * * * [pick]: Picked # 0.277 * * * [progress]: localizing error 0.283 * * * [progress]: generating rewritten candidates 0.283 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.363 * * * [progress]: generating series expansions 0.363 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.363 * [approximate]: Taking taylor expansion of (- (* 1.5 x) (* 0.5 y)) in (x y) around 0 0.363 * [taylor]: Taking taylor expansion of (- (* 1.5 x) (* 0.5 y)) in y 0.363 * [taylor]: Taking taylor expansion of (* 1.5 x) in y 0.363 * [taylor]: Taking taylor expansion of 1.5 in y 0.363 * [taylor]: Taking taylor expansion of x in y 0.363 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.363 * [taylor]: Taking taylor expansion of 0.5 in y 0.363 * [taylor]: Taking taylor expansion of y in y 0.363 * [taylor]: Taking taylor expansion of (- (* 1.5 x) (* 0.5 y)) in x 0.363 * [taylor]: Taking taylor expansion of (* 1.5 x) in x 0.363 * [taylor]: Taking taylor expansion of 1.5 in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.363 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 0.363 * [taylor]: Taking taylor expansion of 0.5 in x 0.363 * [taylor]: Taking taylor expansion of y in x 0.363 * [taylor]: Taking taylor expansion of (- (* 1.5 x) (* 0.5 y)) in x 0.363 * [taylor]: Taking taylor expansion of (* 1.5 x) in x 0.363 * [taylor]: Taking taylor expansion of 1.5 in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.363 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 0.363 * [taylor]: Taking taylor expansion of 0.5 in x 0.363 * [taylor]: Taking taylor expansion of y in x 0.364 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.364 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.364 * [taylor]: Taking taylor expansion of 0.5 in y 0.364 * [taylor]: Taking taylor expansion of y in y 0.367 * [taylor]: Taking taylor expansion of 1.5 in y 0.370 * [taylor]: Taking taylor expansion of 0 in y 0.373 * [taylor]: Taking taylor expansion of 0 in y 0.373 * [approximate]: Taking taylor expansion of (- (* 1.5 (/ 1 x)) (* 0.5 (/ 1 y))) in (x y) around 0 0.374 * [taylor]: Taking taylor expansion of (- (* 1.5 (/ 1 x)) (* 0.5 (/ 1 y))) in y 0.374 * [taylor]: Taking taylor expansion of (* 1.5 (/ 1 x)) in y 0.374 * [taylor]: Taking taylor expansion of 1.5 in y 0.374 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.374 * [taylor]: Taking taylor expansion of x in y 0.374 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.374 * [taylor]: Taking taylor expansion of 0.5 in y 0.374 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.374 * [taylor]: Taking taylor expansion of y in y 0.374 * [taylor]: Taking taylor expansion of (- (* 1.5 (/ 1 x)) (* 0.5 (/ 1 y))) in x 0.374 * [taylor]: Taking taylor expansion of (* 1.5 (/ 1 x)) in x 0.374 * [taylor]: Taking taylor expansion of 1.5 in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in x 0.374 * [taylor]: Taking taylor expansion of 0.5 in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.375 * [taylor]: Taking taylor expansion of (- (* 1.5 (/ 1 x)) (* 0.5 (/ 1 y))) in x 0.375 * [taylor]: Taking taylor expansion of (* 1.5 (/ 1 x)) in x 0.375 * [taylor]: Taking taylor expansion of 1.5 in x 0.375 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in x 0.375 * [taylor]: Taking taylor expansion of 0.5 in x 0.375 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.375 * [taylor]: Taking taylor expansion of y in x 0.376 * [taylor]: Taking taylor expansion of 1.5 in y 0.377 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y))) in y 0.377 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.377 * [taylor]: Taking taylor expansion of 0.5 in y 0.377 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.377 * [taylor]: Taking taylor expansion of y in y 0.380 * [taylor]: Taking taylor expansion of 0 in y 0.384 * [taylor]: Taking taylor expansion of 0 in y 0.388 * [taylor]: Taking taylor expansion of 0 in y 0.389 * [approximate]: Taking taylor expansion of (- (* 0.5 (/ 1 y)) (* 1.5 (/ 1 x))) in (x y) around 0 0.389 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y)) (* 1.5 (/ 1 x))) in y 0.389 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.389 * [taylor]: Taking taylor expansion of 0.5 in y 0.389 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.389 * [taylor]: Taking taylor expansion of y in y 0.389 * [taylor]: Taking taylor expansion of (* 1.5 (/ 1 x)) in y 0.389 * [taylor]: Taking taylor expansion of 1.5 in y 0.389 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.389 * [taylor]: Taking taylor expansion of x in y 0.389 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y)) (* 1.5 (/ 1 x))) in x 0.389 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in x 0.389 * [taylor]: Taking taylor expansion of 0.5 in x 0.389 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.389 * [taylor]: Taking taylor expansion of y in x 0.389 * [taylor]: Taking taylor expansion of (* 1.5 (/ 1 x)) in x 0.389 * [taylor]: Taking taylor expansion of 1.5 in x 0.389 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y)) (* 1.5 (/ 1 x))) in x 0.390 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in x 0.390 * [taylor]: Taking taylor expansion of 0.5 in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.390 * [taylor]: Taking taylor expansion of y in x 0.390 * [taylor]: Taking taylor expansion of (* 1.5 (/ 1 x)) in x 0.390 * [taylor]: Taking taylor expansion of 1.5 in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of (- 1.5) in y 0.391 * [taylor]: Taking taylor expansion of 1.5 in y 0.393 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.393 * [taylor]: Taking taylor expansion of 0.5 in y 0.393 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.393 * [taylor]: Taking taylor expansion of y in y 0.396 * [taylor]: Taking taylor expansion of 0 in y 0.399 * [taylor]: Taking taylor expansion of 0 in y 0.403 * [taylor]: Taking taylor expansion of 0 in y 0.404 * * * [progress]: simplifying candidates 0.405 * [simplify]: Simplifying using # : (fma (* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0)))) (cbrt (+ x (/ x 2.0))) (- (* (cbrt (/ y 2.0)) (* (cbrt (/ y 2.0)) (cbrt (/ y 2.0)))))) (fma (- (cbrt (/ y 2.0))) (* (cbrt (/ y 2.0)) (cbrt (/ y 2.0))) (* (cbrt (/ y 2.0)) (* (cbrt (/ y 2.0)) (cbrt (/ y 2.0))))) (fma (* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0)))) (cbrt (+ x (/ x 2.0))) (- (* (sqrt (/ y 2.0)) (sqrt (/ y 2.0))))) (fma (- (sqrt (/ y 2.0))) (sqrt (/ y 2.0)) (* (sqrt (/ y 2.0)) (sqrt (/ y 2.0)))) (fma (* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0)))) (cbrt (+ x (/ x 2.0))) (- (* (/ (cbrt y) (cbrt 2.0)) (/ (* (cbrt y) (cbrt y)) (* (cbrt 2.0) (cbrt 2.0)))))) (fma (- (/ (cbrt y) (cbrt 2.0))) (/ (* (cbrt y) (cbrt y)) (* (cbrt 2.0) (cbrt 2.0))) (* (/ (cbrt y) (cbrt 2.0)) (/ (* (cbrt y) (cbrt y)) (* (cbrt 2.0) (cbrt 2.0))))) (fma (* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0)))) (cbrt (+ x (/ x 2.0))) (- (* (/ (cbrt y) (sqrt 2.0)) (/ (* (cbrt y) (cbrt y)) (sqrt 2.0))))) (fma (- (/ (cbrt y) (sqrt 2.0))) (/ (* (cbrt y) (cbrt y)) (sqrt 2.0)) (* (/ (cbrt y) (sqrt 2.0)) (/ (* (cbrt y) (cbrt y)) (sqrt 2.0)))) (fma (* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0)))) (cbrt (+ x (/ x 2.0))) (- (* (/ (cbrt y) 2.0) (/ (* (cbrt y) (cbrt y)) 1)))) (fma (- (/ (cbrt y) 2.0)) (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) 2.0) (/ (* (cbrt y) (cbrt y)) 1))) (fma (* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0)))) (cbrt (+ x (/ x 2.0))) (- (* (/ (sqrt y) (cbrt 2.0)) (/ (sqrt y) (* (cbrt 2.0) (cbrt 2.0)))))) (fma (- (/ (sqrt y) (cbrt 2.0))) (/ (sqrt y) (* (cbrt 2.0) (cbrt 2.0))) (* (/ (sqrt y) (cbrt 2.0)) (/ (sqrt y) (* (cbrt 2.0) (cbrt 2.0))))) (fma (* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0)))) (cbrt (+ x (/ x 2.0))) (- (* (/ (sqrt y) (sqrt 2.0)) (/ (sqrt y) (sqrt 2.0))))) (fma (- (/ (sqrt y) (sqrt 2.0))) (/ (sqrt y) (sqrt 2.0)) (* (/ (sqrt y) (sqrt 2.0)) (/ (sqrt y) (sqrt 2.0)))) (fma (* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0)))) (cbrt (+ x (/ x 2.0))) (- (* (/ (sqrt y) 2.0) (/ (sqrt y) 1)))) (fma (- (/ (sqrt y) 2.0)) (/ (sqrt y) 1) (* (/ (sqrt y) 2.0) (/ (sqrt y) 1))) (fma (* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0)))) (cbrt (+ x (/ x 2.0))) (- (* (/ y (cbrt 2.0)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))))) (fma (- (/ y (cbrt 2.0))) (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (/ y (cbrt 2.0)) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))) (fma (* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0)))) (cbrt (+ x (/ x 2.0))) (- (* (/ y (sqrt 2.0)) (/ 1 (sqrt 2.0))))) (fma (- (/ y (sqrt 2.0))) (/ 1 (sqrt 2.0)) (* (/ y (sqrt 2.0)) (/ 1 (sqrt 2.0)))) (fma (* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0)))) (cbrt (+ x (/ x 2.0))) (- (* (/ y 2.0) (/ 1 1)))) (fma (- (/ y 2.0)) (/ 1 1) (* (/ y 2.0) (/ 1 1))) (fma (* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0)))) (cbrt (+ x (/ x 2.0))) (- (* (/ y 2.0) 1))) (fma (- (/ y 2.0)) 1 (* (/ y 2.0) 1)) (fma (* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0)))) (cbrt (+ x (/ x 2.0))) (- (* (/ 1 2.0) y))) (fma (- (/ 1 2.0)) y (* (/ 1 2.0) y)) (fma (sqrt (+ x (/ x 2.0))) (sqrt (+ x (/ x 2.0))) (- (* (cbrt (/ y 2.0)) (* (cbrt (/ y 2.0)) (cbrt (/ y 2.0)))))) (fma (- (cbrt (/ y 2.0))) (* (cbrt (/ y 2.0)) (cbrt (/ y 2.0))) (* (cbrt (/ y 2.0)) (* (cbrt (/ y 2.0)) (cbrt (/ y 2.0))))) (fma (sqrt (+ x (/ x 2.0))) (sqrt (+ x (/ x 2.0))) (- (* (sqrt (/ y 2.0)) (sqrt (/ y 2.0))))) (fma (- (sqrt (/ y 2.0))) (sqrt (/ y 2.0)) (* (sqrt (/ y 2.0)) (sqrt (/ y 2.0)))) (fma (sqrt (+ x (/ x 2.0))) (sqrt (+ x (/ x 2.0))) (- (* (/ (cbrt y) (cbrt 2.0)) (/ (* (cbrt y) (cbrt y)) (* (cbrt 2.0) (cbrt 2.0)))))) (fma (- (/ (cbrt y) (cbrt 2.0))) (/ (* (cbrt y) (cbrt y)) (* (cbrt 2.0) (cbrt 2.0))) (* (/ (cbrt y) (cbrt 2.0)) (/ (* (cbrt y) (cbrt y)) (* (cbrt 2.0) (cbrt 2.0))))) (fma (sqrt (+ x (/ x 2.0))) (sqrt (+ x (/ x 2.0))) (- (* (/ (cbrt y) (sqrt 2.0)) (/ (* (cbrt y) (cbrt y)) (sqrt 2.0))))) (fma (- (/ (cbrt y) (sqrt 2.0))) (/ (* (cbrt y) (cbrt y)) (sqrt 2.0)) (* (/ (cbrt y) (sqrt 2.0)) (/ (* (cbrt y) (cbrt y)) (sqrt 2.0)))) (fma (sqrt (+ x (/ x 2.0))) (sqrt (+ x (/ x 2.0))) (- (* (/ (cbrt y) 2.0) (/ (* (cbrt y) (cbrt y)) 1)))) (fma (- (/ (cbrt y) 2.0)) (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) 2.0) (/ (* (cbrt y) (cbrt y)) 1))) (fma (sqrt (+ x (/ x 2.0))) (sqrt (+ x (/ x 2.0))) (- (* (/ (sqrt y) (cbrt 2.0)) (/ (sqrt y) (* (cbrt 2.0) (cbrt 2.0)))))) (fma (- (/ (sqrt y) (cbrt 2.0))) (/ (sqrt y) (* (cbrt 2.0) (cbrt 2.0))) (* (/ (sqrt y) (cbrt 2.0)) (/ (sqrt y) (* (cbrt 2.0) (cbrt 2.0))))) (fma (sqrt (+ x (/ x 2.0))) (sqrt (+ x (/ x 2.0))) (- (* (/ (sqrt y) (sqrt 2.0)) (/ (sqrt y) (sqrt 2.0))))) (fma (- (/ (sqrt y) (sqrt 2.0))) (/ (sqrt y) (sqrt 2.0)) (* (/ (sqrt y) (sqrt 2.0)) (/ (sqrt y) (sqrt 2.0)))) (fma (sqrt (+ x (/ x 2.0))) (sqrt (+ x (/ x 2.0))) (- (* (/ (sqrt y) 2.0) (/ (sqrt y) 1)))) (fma (- (/ (sqrt y) 2.0)) (/ (sqrt y) 1) (* (/ (sqrt y) 2.0) (/ (sqrt y) 1))) (fma (sqrt (+ x (/ x 2.0))) (sqrt (+ x (/ x 2.0))) (- (* (/ y (cbrt 2.0)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))))) (fma (- (/ y (cbrt 2.0))) (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (/ y (cbrt 2.0)) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))) (fma (sqrt (+ x (/ x 2.0))) 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(* (cbrt y) (cbrt y)) (* (cbrt 2.0) (cbrt 2.0))) (* (/ (cbrt y) (cbrt 2.0)) (/ (* (cbrt y) (cbrt y)) (* (cbrt 2.0) (cbrt 2.0))))) (fma 1 (+ x (/ x 2.0)) (- (* (/ (cbrt y) (sqrt 2.0)) (/ (* (cbrt y) (cbrt y)) (sqrt 2.0))))) (fma (- (/ (cbrt y) (sqrt 2.0))) (/ (* (cbrt y) (cbrt y)) (sqrt 2.0)) (* (/ (cbrt y) (sqrt 2.0)) (/ (* (cbrt y) (cbrt y)) (sqrt 2.0)))) (fma 1 (+ x (/ x 2.0)) (- (* (/ (cbrt y) 2.0) (/ (* (cbrt y) (cbrt y)) 1)))) (fma (- (/ (cbrt y) 2.0)) (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) 2.0) (/ (* (cbrt y) (cbrt y)) 1))) (fma 1 (+ x (/ x 2.0)) (- (* (/ (sqrt y) (cbrt 2.0)) (/ (sqrt y) (* (cbrt 2.0) (cbrt 2.0)))))) (fma (- (/ (sqrt y) (cbrt 2.0))) (/ (sqrt y) (* (cbrt 2.0) (cbrt 2.0))) (* (/ (sqrt y) (cbrt 2.0)) (/ (sqrt y) (* (cbrt 2.0) (cbrt 2.0))))) (fma 1 (+ x (/ x 2.0)) (- (* (/ (sqrt y) (sqrt 2.0)) (/ (sqrt y) (sqrt 2.0))))) (fma (- (/ (sqrt y) (sqrt 2.0))) (/ (sqrt y) (sqrt 2.0)) (* (/ (sqrt y) (sqrt 2.0)) (/ (sqrt y) (sqrt 2.0)))) (fma 1 (+ x (/ x 2.0)) (- (* (/ 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(sqrt (/ y 2.0))) (sqrt (/ y 2.0)) (* (sqrt (/ y 2.0)) (sqrt (/ y 2.0)))) (fma 1 (+ x (/ x 2.0)) (- (* (/ (cbrt y) (cbrt 2.0)) (/ (* (cbrt y) (cbrt y)) (* (cbrt 2.0) (cbrt 2.0)))))) (fma (- (/ (cbrt y) (cbrt 2.0))) (/ (* (cbrt y) (cbrt y)) (* (cbrt 2.0) (cbrt 2.0))) (* (/ (cbrt y) (cbrt 2.0)) (/ (* (cbrt y) (cbrt y)) (* (cbrt 2.0) (cbrt 2.0))))) (fma 1 (+ x (/ x 2.0)) (- (* (/ (cbrt y) (sqrt 2.0)) (/ (* (cbrt y) (cbrt y)) (sqrt 2.0))))) (fma (- (/ (cbrt y) (sqrt 2.0))) (/ (* (cbrt y) (cbrt y)) (sqrt 2.0)) (* (/ (cbrt y) (sqrt 2.0)) (/ (* (cbrt y) (cbrt y)) (sqrt 2.0)))) (fma 1 (+ x (/ x 2.0)) (- (* (/ (cbrt y) 2.0) (/ (* (cbrt y) (cbrt y)) 1)))) (fma (- (/ (cbrt y) 2.0)) (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) 2.0) (/ (* (cbrt y) (cbrt y)) 1))) (fma 1 (+ x (/ x 2.0)) (- (* (/ (sqrt y) (cbrt 2.0)) (/ (sqrt y) (* (cbrt 2.0) (cbrt 2.0)))))) (fma (- (/ (sqrt y) (cbrt 2.0))) (/ (sqrt y) (* (cbrt 2.0) (cbrt 2.0))) (* (/ (sqrt y) (cbrt 2.0)) (/ (sqrt y) (* (cbrt 2.0) (cbrt 2.0))))) (fma 1 (+ x (/ x 2.0)) (- (* (/ (sqrt y) (sqrt 2.0)) (/ (sqrt y) (sqrt 2.0))))) (fma (- (/ (sqrt y) (sqrt 2.0))) (/ (sqrt y) (sqrt 2.0)) (* (/ (sqrt y) (sqrt 2.0)) (/ (sqrt y) (sqrt 2.0)))) (fma 1 (+ x (/ x 2.0)) (- (* (/ (sqrt y) 2.0) (/ (sqrt y) 1)))) (fma (- (/ (sqrt y) 2.0)) (/ (sqrt y) 1) (* (/ (sqrt y) 2.0) (/ (sqrt y) 1))) (fma 1 (+ x (/ x 2.0)) (- (* (/ y (cbrt 2.0)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))))) (fma (- (/ y (cbrt 2.0))) (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (/ y (cbrt 2.0)) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))) (fma 1 (+ x (/ x 2.0)) (- (* (/ y (sqrt 2.0)) (/ 1 (sqrt 2.0))))) (fma (- (/ y (sqrt 2.0))) (/ 1 (sqrt 2.0)) (* (/ y (sqrt 2.0)) (/ 1 (sqrt 2.0)))) (fma 1 (+ x (/ x 2.0)) (- (* (/ y 2.0) (/ 1 1)))) (fma (- (/ y 2.0)) (/ 1 1) (* (/ y 2.0) (/ 1 1))) (fma 1 (+ x (/ x 2.0)) (- (* (/ y 2.0) 1))) (fma (- (/ y 2.0)) 1 (* (/ y 2.0) 1)) (fma 1 (+ x (/ x 2.0)) (- (* (/ 1 2.0) y))) (fma (- (/ 1 2.0)) y (* (/ 1 2.0) y)) (expm1 (- (+ x (/ x 2.0)) (/ y 2.0))) (log1p (- (+ x (/ x 2.0)) (/ y 2.0))) (- (/ y 2.0)) (- (/ y 2.0)) (- (/ y 2.0)) (- (/ y 2.0)) (/ (* (exp x) (exp (/ x 2.0))) (exp (/ y 2.0))) (/ (exp (+ x (/ x 2.0))) (exp (/ y 2.0))) (log (- (+ x (/ x 2.0)) (/ y 2.0))) (exp (- (+ x (/ x 2.0)) (/ y 2.0))) (* (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))) (cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))) (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))) (* (* (- (+ x (/ x 2.0)) (/ y 2.0)) (- (+ x (/ x 2.0)) (/ y 2.0))) (- (+ x (/ x 2.0)) (/ y 2.0))) (sqrt (- (+ x (/ x 2.0)) (/ y 2.0))) (sqrt (- (+ x (/ x 2.0)) (/ y 2.0))) (- (* (+ (pow x 3) (pow (/ x 2.0) 3)) 2.0) (* (+ (* x x) (- (* (/ x 2.0) (/ x 2.0)) (* x (/ x 2.0)))) y)) (* (+ (* x x) (- (* (/ x 2.0) (/ x 2.0)) (* x (/ x 2.0)))) 2.0) (- (* (- (* x x) (* (/ x 2.0) (/ x 2.0))) 2.0) (* (- x (/ x 2.0)) y)) (* (- x (/ x 2.0)) 2.0) (- (pow (+ x (/ x 2.0)) 3) (pow (/ y 2.0) 3)) (+ (* (+ x (/ x 2.0)) (+ x (/ x 2.0))) (+ (* (/ y 2.0) (/ y 2.0)) (* (+ x (/ x 2.0)) (/ y 2.0)))) (- (/ y 2.0)) (- (* (+ x (/ x 2.0)) (+ x (/ x 2.0))) (* (/ y 2.0) (/ y 2.0))) (+ (+ x (/ x 2.0)) (/ y 2.0)) (+ (sqrt (+ x (/ x 2.0))) (sqrt (/ y 2.0))) (- (sqrt (+ x (/ x 2.0))) (sqrt (/ y 2.0))) (+ (sqrt (+ x (/ x 2.0))) (/ (sqrt y) (sqrt 2.0))) (- (sqrt (+ x (/ x 2.0))) (/ (sqrt y) (sqrt 2.0))) (- (+ x (/ x 2.0)) (/ y 2.0)) (- (+ x (/ x 2.0)) (/ y 2.0)) (- (/ x 2.0) (/ y 2.0)) (- (/ y 2.0)) (- (* 1.5 x) (* 0.5 y)) (- (* 1.5 x) (* 0.5 y)) (- (* 1.5 x) (* 0.5 y)) 0.415 * * [simplify]: iteration 0 : 451 enodes (cost 1522 ) 0.425 * * [simplify]: iteration 1 : 1443 enodes (cost 1047 ) 0.458 * * [simplify]: iteration 2 : 5002 enodes (cost 936 ) 0.463 * [simplify]: Simplified to: (- (* (* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0)))) (cbrt (+ x (/ x 2.0)))) (/ y 2.0)) (fma (- (/ y 2.0)) 1 (/ y 2.0)) (- (* (* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0)))) (cbrt (+ x (/ x 2.0)))) (/ y 2.0)) (fma (- (/ y 2.0)) 1 (/ y 2.0)) (- (* (* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0)))) (cbrt (+ x (/ x 2.0)))) (pow (/ (cbrt y) (cbrt 2.0)) 3)) (* (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (+ 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y 2.0)) (- (+ x (/ x 2.0)) (/ y 2.0)) (fma (- (/ y 2.0)) 1 (/ y 2.0)) (- (+ x (/ x 2.0)) (/ y 2.0)) (fma (- (/ y 2.0)) 1 (/ y 2.0)) (expm1 (- (+ x (/ x 2.0)) (/ y 2.0))) (log1p (- (+ x (/ x 2.0)) (/ y 2.0))) (- (/ y 2.0)) (- (/ y 2.0)) (- (/ y 2.0)) (- (/ y 2.0)) (exp (- (+ x (/ x 2.0)) (/ y 2.0))) (exp (- (+ x (/ x 2.0)) (/ y 2.0))) (log (- (+ x (/ x 2.0)) (/ y 2.0))) (exp (- (+ x (/ x 2.0)) (/ y 2.0))) (* (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))) (cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))) (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))) (pow (- (+ x (/ x 2.0)) (/ y 2.0)) 3) (sqrt (- (+ x (/ x 2.0)) (/ y 2.0))) (sqrt (- (+ x (/ x 2.0)) (/ y 2.0))) (fma (- y) (fma (/ x 2.0) (- (/ x 2.0) x) (* x x)) (* (+ (pow x 3) (pow (/ x 2.0) 3)) 2.0)) (* 2.0 (+ (* (/ x 2.0) (- (/ x 2.0) x)) (* x x))) (* (- x (/ x 2.0)) (- (* 2.0 (+ x (/ x 2.0))) y)) (* (- x (/ x 2.0)) 2.0) (- (pow (+ x (/ x 2.0)) 3) (pow (/ y 2.0) 3)) (fma (/ y 2.0) (+ (+ x (/ x 2.0)) (/ y 2.0)) (* (+ x (/ x 2.0)) (+ x (/ x 2.0)))) (- (/ y 2.0)) (- (* (+ x (/ x 2.0)) (+ x (/ x 2.0))) (* (/ y 2.0) (/ y 2.0))) (+ (+ x (/ x 2.0)) (/ y 2.0)) (+ (sqrt (+ x (/ x 2.0))) (sqrt (/ y 2.0))) (- (sqrt (+ x (/ x 2.0))) (sqrt (/ y 2.0))) (+ (sqrt (+ x (/ x 2.0))) (/ (sqrt y) (sqrt 2.0))) (- (sqrt (+ x (/ x 2.0))) (/ (sqrt y) (sqrt 2.0))) (- (+ x (/ x 2.0)) (/ y 2.0)) (- (+ x (/ x 2.0)) (/ y 2.0)) (- (/ x 2.0) (/ y 2.0)) (- (/ y 2.0)) (- (* 1.5 x) (* 0.5 y)) (- (* 1.5 x) (* 0.5 y)) (- (* 1.5 x) (* 0.5 y)) 0.464 * * * [progress]: adding candidates to table 0.553 * * [progress]: iteration 3 / 4 0.553 * * * [progress]: picking best candidate 0.566 * * * * [pick]: Picked # 0.567 * * * [progress]: localizing error 0.576 * * * [progress]: generating rewritten candidates 0.576 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.577 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.577 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.578 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.585 * * * [progress]: generating series expansions 0.585 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.585 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.585 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.585 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.586 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.586 * [taylor]: Taking taylor expansion of 1/3 in x 0.586 * [taylor]: Taking taylor expansion of (log x) in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.587 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.587 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.587 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.587 * [taylor]: Taking taylor expansion of 1/3 in x 0.587 * [taylor]: Taking taylor expansion of (log x) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.647 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.647 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.647 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.647 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.647 * [taylor]: Taking taylor expansion of 1/3 in x 0.647 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.647 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.649 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.649 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.649 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.649 * [taylor]: Taking taylor expansion of 1/3 in x 0.649 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.649 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.713 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.713 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.713 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.713 * [taylor]: Taking taylor expansion of -1 in x 0.714 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.715 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.715 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.715 * [taylor]: Taking taylor expansion of 1/3 in x 0.715 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.715 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.715 * [taylor]: Taking taylor expansion of x in x 0.716 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.716 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.716 * [taylor]: Taking taylor expansion of -1 in x 0.716 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.717 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.717 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.717 * [taylor]: Taking taylor expansion of 1/3 in x 0.717 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.717 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.795 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.795 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.795 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.795 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.795 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.795 * [taylor]: Taking taylor expansion of 1/3 in x 0.795 * [taylor]: Taking taylor expansion of (log x) in x 0.795 * [taylor]: Taking taylor expansion of x in x 0.796 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.796 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.796 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.796 * [taylor]: Taking taylor expansion of 1/3 in x 0.796 * [taylor]: Taking taylor expansion of (log x) in x 0.796 * [taylor]: Taking taylor expansion of x in x 0.849 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.849 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.849 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.849 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.849 * [taylor]: Taking taylor expansion of 1/3 in x 0.849 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.849 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.849 * [taylor]: Taking taylor expansion of x in x 0.850 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.850 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.850 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.850 * [taylor]: Taking taylor expansion of 1/3 in x 0.850 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.851 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.851 * [taylor]: Taking taylor expansion of x in x 0.915 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.915 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.915 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.916 * [taylor]: Taking taylor expansion of -1 in x 0.916 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.917 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.917 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.917 * [taylor]: Taking taylor expansion of 1/3 in x 0.917 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.917 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.917 * [taylor]: Taking taylor expansion of x in x 0.918 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.918 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.918 * [taylor]: Taking taylor expansion of -1 in x 0.919 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.919 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.919 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.919 * [taylor]: Taking taylor expansion of 1/3 in x 0.919 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.919 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.919 * [taylor]: Taking taylor expansion of x in x 0.997 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.997 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.997 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.998 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.998 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.998 * [taylor]: Taking taylor expansion of 1/3 in x 0.998 * [taylor]: Taking taylor expansion of (log x) in x 0.998 * [taylor]: Taking taylor expansion of x in x 0.998 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.998 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.998 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.998 * [taylor]: Taking taylor expansion of 1/3 in x 0.998 * [taylor]: Taking taylor expansion of (log x) in x 0.998 * [taylor]: Taking taylor expansion of x in x 1.060 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.060 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.060 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.060 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.060 * [taylor]: Taking taylor expansion of 1/3 in x 1.060 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.060 * [taylor]: Taking taylor expansion of x in x 1.061 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.061 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.061 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.061 * [taylor]: Taking taylor expansion of 1/3 in x 1.061 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.062 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.062 * [taylor]: Taking taylor expansion of x in x 1.118 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.118 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.118 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.118 * [taylor]: Taking taylor expansion of -1 in x 1.119 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.119 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.119 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.119 * [taylor]: Taking taylor expansion of 1/3 in x 1.119 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.119 * [taylor]: Taking taylor expansion of x in x 1.120 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.120 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.120 * [taylor]: Taking taylor expansion of -1 in x 1.121 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.121 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.121 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.121 * [taylor]: Taking taylor expansion of 1/3 in x 1.121 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.121 * [taylor]: Taking taylor expansion of x in x 1.198 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.198 * [approximate]: Taking taylor expansion of (pow (pow x 2) 1/3) in (x) around 0 1.198 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 1.199 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 1.199 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 1.199 * [taylor]: Taking taylor expansion of 1/3 in x 1.199 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 1.199 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.199 * [taylor]: Taking taylor expansion of x in x 1.200 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 1.200 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 1.200 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 1.200 * [taylor]: Taking taylor expansion of 1/3 in x 1.200 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 1.200 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.200 * [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 1.264 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.264 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.264 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.264 * [taylor]: Taking taylor expansion of 1/3 in x 1.264 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.264 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.264 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.264 * [taylor]: Taking taylor expansion of x in x 1.332 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in (x) around 0 1.332 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 1.332 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 1.332 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.332 * [taylor]: Taking taylor expansion of -1 in x 1.333 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.334 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.334 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.334 * [taylor]: Taking taylor expansion of 1/3 in x 1.334 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.334 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.334 * [taylor]: Taking taylor expansion of x in x 1.335 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 1.335 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 1.335 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.335 * [taylor]: Taking taylor expansion of -1 in x 1.336 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.336 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.336 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.336 * [taylor]: Taking taylor expansion of 1/3 in x 1.336 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.336 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.336 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.336 * [taylor]: Taking taylor expansion of x in x 1.424 * * * [progress]: simplifying candidates 1.426 * [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)) 1.430 * * [simplify]: iteration 0 : 119 enodes (cost 308 ) 1.435 * * [simplify]: iteration 1 : 477 enodes (cost 281 ) 1.453 * * [simplify]: iteration 2 : 2972 enodes (cost 258 ) 1.526 * * [simplify]: iteration 3 : 5001 enodes (cost 255 ) 1.528 * [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)) 1.529 * * * [progress]: adding candidates to table 1.796 * * [progress]: iteration 4 / 4 1.796 * * * [progress]: picking best candidate 1.808 * * * * [pick]: Picked # 1.808 * * * [progress]: localizing error 1.821 * * * [progress]: generating rewritten candidates 1.821 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.822 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.822 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1) 1.823 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2 1) 1.824 * * * [progress]: generating series expansions 1.824 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.825 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.825 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.825 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.825 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.825 * [taylor]: Taking taylor expansion of 1/3 in x 1.825 * [taylor]: Taking taylor expansion of (log x) in x 1.825 * [taylor]: Taking taylor expansion of x in x 1.826 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.826 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.826 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.826 * [taylor]: Taking taylor expansion of 1/3 in x 1.826 * [taylor]: Taking taylor expansion of (log x) in x 1.826 * [taylor]: Taking taylor expansion of x in x 1.885 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.885 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.885 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.885 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.885 * [taylor]: Taking taylor expansion of 1/3 in x 1.885 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.885 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.885 * [taylor]: Taking taylor expansion of x in x 1.886 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.886 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.886 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.886 * [taylor]: Taking taylor expansion of 1/3 in x 1.886 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.886 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.886 * [taylor]: Taking taylor expansion of x in x 1.951 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.951 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.951 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.951 * [taylor]: Taking taylor expansion of -1 in x 1.952 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.952 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.952 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.952 * [taylor]: Taking taylor expansion of 1/3 in x 1.952 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.952 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.952 * [taylor]: Taking taylor expansion of x in x 1.953 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.953 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.953 * [taylor]: Taking taylor expansion of -1 in x 1.954 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.954 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.954 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.954 * [taylor]: Taking taylor expansion of 1/3 in x 1.954 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.954 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.954 * [taylor]: Taking taylor expansion of x in x 2.033 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 2.033 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 2.033 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.033 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.033 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.033 * [taylor]: Taking taylor expansion of 1/3 in x 2.033 * [taylor]: Taking taylor expansion of (log x) in x 2.033 * [taylor]: Taking taylor expansion of x in x 2.034 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.034 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.034 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.034 * [taylor]: Taking taylor expansion of 1/3 in x 2.034 * [taylor]: Taking taylor expansion of (log x) in x 2.034 * [taylor]: Taking taylor expansion of x in x 2.088 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 2.088 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.088 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.088 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.088 * [taylor]: Taking taylor expansion of 1/3 in x 2.088 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.088 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.088 * [taylor]: Taking taylor expansion of x in x 2.089 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.089 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.089 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.089 * [taylor]: Taking taylor expansion of 1/3 in x 2.089 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.089 * [taylor]: Taking taylor expansion of x in x 2.155 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 2.155 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.155 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.155 * [taylor]: Taking taylor expansion of -1 in x 2.156 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.156 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.156 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.156 * [taylor]: Taking taylor expansion of 1/3 in x 2.156 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.156 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.156 * [taylor]: Taking taylor expansion of x in x 2.157 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.157 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.157 * [taylor]: Taking taylor expansion of -1 in x 2.158 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.158 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.158 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.158 * [taylor]: Taking taylor expansion of 1/3 in x 2.158 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.158 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.158 * [taylor]: Taking taylor expansion of x in x 2.235 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1) 2.236 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 2.236 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.236 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.236 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.236 * [taylor]: Taking taylor expansion of 1/3 in x 2.236 * [taylor]: Taking taylor expansion of (log x) in x 2.236 * [taylor]: Taking taylor expansion of x in x 2.236 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.236 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.236 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.237 * [taylor]: Taking taylor expansion of 1/3 in x 2.237 * [taylor]: Taking taylor expansion of (log x) in x 2.237 * [taylor]: Taking taylor expansion of x in x 2.298 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 2.298 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.298 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.298 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.298 * [taylor]: Taking taylor expansion of 1/3 in x 2.298 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.298 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.298 * [taylor]: Taking taylor expansion of x in x 2.299 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.299 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.299 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.299 * [taylor]: Taking taylor expansion of 1/3 in x 2.299 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.299 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.299 * [taylor]: Taking taylor expansion of x in x 2.356 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 2.356 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.356 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.356 * [taylor]: Taking taylor expansion of -1 in x 2.357 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.357 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.357 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.357 * [taylor]: Taking taylor expansion of 1/3 in x 2.357 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.357 * [taylor]: Taking taylor expansion of x in x 2.358 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.358 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.358 * [taylor]: Taking taylor expansion of -1 in x 2.359 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.359 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.359 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.359 * [taylor]: Taking taylor expansion of 1/3 in x 2.359 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.359 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.359 * [taylor]: Taking taylor expansion of x in x 2.436 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2 1) 2.436 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 2.436 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.436 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.436 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.436 * [taylor]: Taking taylor expansion of 1/3 in x 2.436 * [taylor]: Taking taylor expansion of (log x) in x 2.436 * [taylor]: Taking taylor expansion of x in x 2.437 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.437 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.437 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.437 * [taylor]: Taking taylor expansion of 1/3 in x 2.437 * [taylor]: Taking taylor expansion of (log x) in x 2.437 * [taylor]: Taking taylor expansion of x in x 2.500 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 2.500 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.500 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.500 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.500 * [taylor]: Taking taylor expansion of 1/3 in x 2.500 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.500 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.500 * [taylor]: Taking taylor expansion of x in x 2.501 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.501 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.501 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.501 * [taylor]: Taking taylor expansion of 1/3 in x 2.501 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.501 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.501 * [taylor]: Taking taylor expansion of x in x 2.565 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 2.565 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.565 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.565 * [taylor]: Taking taylor expansion of -1 in x 2.566 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.566 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.566 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.566 * [taylor]: Taking taylor expansion of 1/3 in x 2.566 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.566 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.566 * [taylor]: Taking taylor expansion of x in x 2.567 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.567 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.567 * [taylor]: Taking taylor expansion of -1 in x 2.568 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.568 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.568 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.568 * [taylor]: Taking taylor expansion of 1/3 in x 2.568 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.568 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.568 * [taylor]: Taking taylor expansion of x in x 2.645 * * * [progress]: simplifying candidates 2.646 * [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)) (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)) (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 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 2.650 * * [simplify]: iteration 0 : 42 enodes (cost 172 ) 2.652 * * [simplify]: iteration 1 : 83 enodes (cost 160 ) 2.656 * * [simplify]: iteration 2 : 195 enodes (cost 152 ) 2.662 * * [simplify]: iteration 3 : 699 enodes (cost 152 ) 2.688 * * [simplify]: iteration 4 : 4132 enodes (cost 152 ) 2.794 * * [simplify]: iteration 5 : 5001 enodes (cost 152 ) 2.795 * [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)) (cbrt 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)) (cbrt 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)) (cbrt 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)) (cbrt 1) (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (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 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 2.796 * * * [progress]: adding candidates to table 3.042 * [progress]: [Phase 3 of 3] Extracting. 3.042 * * [regime]: Finding splitpoints for: (# # # # # # #) 3.043 * * * [regime-changes]: Trying 2 branch expressions: (y x) 3.043 * * * * [regimes]: Trying to branch on y from (# # # # # # #) 3.075 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 3.105 * * * [regime]: Found split indices: #