9.323 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (* (* x y) (- 1.0 y)) 0.017 * * [simplify]: iteration 0 : 12 enodes (cost 3 ) 0.018 * * [simplify]: iteration 1 : 32 enodes (cost 3 ) 0.020 * * [simplify]: iteration 2 : 74 enodes (cost 3 ) 0.022 * * [simplify]: iteration 3 : 112 enodes (cost 3 ) 0.025 * * [simplify]: iteration 4 : 123 enodes (cost 3 ) 0.027 * * [simplify]: iteration 5 : 127 enodes (cost 3 ) 0.029 * * [simplify]: iteration 6 : 127 enodes (cost 3 ) 0.029 * [simplify]: Simplified to: (* (* x y) (- 1.0 y)) 0.030 * * [progress]: iteration 1 / 4 0.030 * * * [progress]: picking best candidate 0.031 * * * * [pick]: Picked # 0.031 * * * [progress]: localizing error 0.036 * * * [progress]: generating rewritten candidates 0.036 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.046 * * * [progress]: generating series expansions 0.046 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.046 * [approximate]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in (x y) around 0 0.046 * [taylor]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in y 0.046 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.046 * [taylor]: Taking taylor expansion of 1.0 in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of (* x y) in y 0.046 * [taylor]: Taking taylor expansion of x in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in x 0.046 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.046 * [taylor]: Taking taylor expansion of 1.0 in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of (* x y) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in x 0.047 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.047 * [taylor]: Taking taylor expansion of 1.0 in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of (* x y) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [taylor]: Taking taylor expansion of (- (* 1.0 y) (pow y 2)) in y 0.048 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.048 * [taylor]: Taking taylor expansion of 1.0 in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.058 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in (x y) around 0 0.058 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in y 0.058 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.058 * [taylor]: Taking taylor expansion of 1.0 in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of (* x y) in y 0.058 * [taylor]: Taking taylor expansion of x in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in x 0.059 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.059 * [taylor]: Taking taylor expansion of 1.0 in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of (* x y) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in x 0.060 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.060 * [taylor]: Taking taylor expansion of 1.0 in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of (* x y) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) y) in y 0.060 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.060 * [taylor]: Taking taylor expansion of 1.0 in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.062 * [taylor]: Taking taylor expansion of 0 in y 0.066 * [taylor]: Taking taylor expansion of 0 in y 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.073 * [taylor]: Taking taylor expansion of 0 in y 0.075 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in (x y) around 0 0.075 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in y 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of 1.0 in y 0.076 * [taylor]: Taking taylor expansion of (* x y) in y 0.076 * [taylor]: Taking taylor expansion of x in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.076 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in x 0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [taylor]: Taking taylor expansion of 1.0 in x 0.076 * [taylor]: Taking taylor expansion of (* x y) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.077 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in x 0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.077 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.077 * [taylor]: Taking taylor expansion of y in x 0.077 * [taylor]: Taking taylor expansion of 1.0 in x 0.077 * [taylor]: Taking taylor expansion of (* x y) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of y in x 0.077 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) y) in y 0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.077 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.078 * [taylor]: Taking taylor expansion of 1.0 in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.093 * * * [progress]: simplifying candidates 0.094 * [simplify]: Simplifying using # : (expm1 (* (* x y) (- 1.0 y))) (log1p (* (* x y) (- 1.0 y))) (* (* x y) (- 1.0 y)) (* (* x y) (- 1.0 y)) (+ (+ (log x) (log y)) (log (- 1.0 y))) (+ (log (* x y)) (log (- 1.0 y))) (log (* (* x y) (- 1.0 y))) (exp (* (* x y) (- 1.0 y))) (* (* (* (* x x) x) (* (* y y) y)) (* (* (- 1.0 y) (- 1.0 y)) (- 1.0 y))) (* (* (* (* x y) (* x y)) (* x y)) (* (* (- 1.0 y) (- 1.0 y)) (- 1.0 y))) (* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y)))) (cbrt (* (* x y) (- 1.0 y))) (* (* (* (* x y) (- 1.0 y)) (* (* x y) (- 1.0 y))) (* (* x y) (- 1.0 y))) (sqrt (* (* x y) (- 1.0 y))) (sqrt (* (* x y) (- 1.0 y))) (* (* x y) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* (* x y) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* (* x y) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt y) (sqrt y))))) (* (* x y) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* (* x y) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* y 1)))) (* (* x y) (fma (- y) 1 (* y 1))) (* (* x y) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* (* x y) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* (* x y) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt y) (sqrt y))))) (* (* x y) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* (* x y) (fma (sqrt 1.0) (sqrt 1.0) (- (* y 1)))) (* (* x y) (fma (- y) 1 (* y 1))) (* (* x y) (fma 1 1.0 (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* (* x y) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* (* x y) (fma 1 1.0 (- (* (sqrt y) (sqrt y))))) (* (* x y) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* (* x y) (fma 1 1.0 (- (* y 1)))) (* (* x y) (fma (- y) 1 (* y 1))) (* (* x y) 1.0) (* (* x y) (- y)) (* (* x y) 1.0) (* (* x y) (- y)) (* (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (* x y)) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (* x y)) (* (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt y) (sqrt y)))) (* x y)) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (* x y)) (* (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* y 1))) (* x y)) (* (fma (- y) 1 (* y 1)) (* x y)) (* (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (* x y)) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (* x y)) (* (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt y) (sqrt y)))) (* x y)) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (* x y)) (* (fma (sqrt 1.0) (sqrt 1.0) (- (* y 1))) (* x y)) (* (fma (- y) 1 (* y 1)) (* x y)) (* (fma 1 1.0 (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (* x y)) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (* x y)) (* (fma 1 1.0 (- (* (sqrt y) (sqrt y)))) (* x y)) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (* x y)) (* (fma 1 1.0 (- (* y 1))) (* x y)) (* (fma (- y) 1 (* y 1)) (* x y)) (* 1.0 (* x y)) (* (- y) (* x y)) (* 1.0 (* x y)) (* (- y) (* x y)) (* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (* (* x y) (sqrt (- 1.0 y))) (* (* x y) 1) (* (* x y) (+ (sqrt 1.0) (sqrt y))) (* (* x y) 1) (* y (- 1.0 y)) (* (* x y) (- (pow 1.0 3) (pow y 3))) (* (* x y) (- (* 1.0 1.0) (* y y))) (- (* 1.0 (* x y)) (* x (pow y 2))) (- (* 1.0 (* x y)) (* x (pow y 2))) (- (* 1.0 (* x y)) (* x (pow y 2))) 0.099 * * [simplify]: iteration 0 : 292 enodes (cost 436 ) 0.105 * * [simplify]: iteration 1 : 1402 enodes (cost 284 ) 0.136 * * [simplify]: iteration 2 : 5001 enodes (cost 272 ) 0.138 * [simplify]: Simplified to: (expm1 (* (* x y) (- 1.0 y))) (log1p (* (* x y) (- 1.0 y))) (* (* x y) (- 1.0 y)) (* (* x y) (- 1.0 y)) (log (* (* x y) (- 1.0 y))) (log (* (* x y) (- 1.0 y))) (log (* (* x y) (- 1.0 y))) (exp (* (* x y) (- 1.0 y))) (pow (* (* x y) (- 1.0 y)) 3) (pow (* (* x y) (- 1.0 y)) 3) (* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y)))) (cbrt (* (* x y) (- 1.0 y))) (pow (* (* x y) (- 1.0 y)) 3) (sqrt (* (* x y) (- 1.0 y))) (sqrt (* (* x y) (- 1.0 y))) (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y) (* (* (fma (- y) 1 y) y) x) (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y) (* (* (fma (- y) 1 y) y) x) (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y) (* (* (fma (- y) 1 y) y) x) (* (* x y) (- 1.0 y)) (* (* (fma (- y) 1 y) y) x) (* (* x y) (- 1.0 y)) (* (* (fma (- y) 1 y) y) x) (* (* x y) (- 1.0 y)) (* (* (fma (- y) 1 y) y) x) (* (* x y) (- 1.0 y)) (* (* (fma (- y) 1 y) y) x) (* (* x y) (- 1.0 y)) (* (* (fma (- y) 1 y) y) x) (* (* x y) (- 1.0 y)) (* (* (fma (- y) 1 y) y) x) (* (* x y) 1.0) (* (* x y) (- y)) (* (* x y) 1.0) (* (* x y) (- y)) (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y) (* (* (fma (- y) 1 y) y) x) (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y) (* (* (fma (- y) 1 y) y) x) (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y) (* (* (fma (- y) 1 y) y) x) (* (* x y) (- 1.0 y)) (* (* (fma (- y) 1 y) y) x) (* (* x y) (- 1.0 y)) (* (* (fma (- y) 1 y) y) x) (* (* x y) (- 1.0 y)) (* (* (fma (- y) 1 y) y) x) (* (* x y) (- 1.0 y)) (* (* (fma (- y) 1 y) y) x) (* (* x y) (- 1.0 y)) (* (* (fma (- y) 1 y) y) x) (* (* x y) (- 1.0 y)) (* (* (fma (- y) 1 y) y) x) (* (* x y) 1.0) (* (* x y) (- y)) (* (* x y) 1.0) (* (* x y) (- y)) (* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (* (* x y) (sqrt (- 1.0 y))) (* x y) (* (* x y) (+ (sqrt 1.0) (sqrt y))) (* x y) (* y (- 1.0 y)) (* (* x y) (- (pow 1.0 3) (pow y 3))) (* (* x y) (- (* 1.0 1.0) (* y y))) (* (* x y) (- 1.0 y)) (* (* x y) (- 1.0 y)) (* (* x y) (- 1.0 y)) 0.139 * * * [progress]: adding candidates to table 0.184 * * [progress]: iteration 2 / 4 0.184 * * * [progress]: picking best candidate 0.193 * * * * [pick]: Picked # 0.193 * * * [progress]: localizing error 0.200 * * * [progress]: generating rewritten candidates 0.200 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.206 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.212 * * * [progress]: generating series expansions 0.212 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.212 * [approximate]: Taking taylor expansion of (* -1 (* x (pow y 2))) in (x y) around 0 0.212 * [taylor]: Taking taylor expansion of (* -1 (* x (pow y 2))) in y 0.212 * [taylor]: Taking taylor expansion of -1 in y 0.212 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.212 * [taylor]: Taking taylor expansion of x in y 0.212 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.212 * [taylor]: Taking taylor expansion of y in y 0.212 * [taylor]: Taking taylor expansion of (* -1 (* x (pow y 2))) in x 0.212 * [taylor]: Taking taylor expansion of -1 in x 0.212 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.212 * [taylor]: Taking taylor expansion of y in x 0.212 * [taylor]: Taking taylor expansion of (* -1 (* x (pow y 2))) in x 0.212 * [taylor]: Taking taylor expansion of -1 in x 0.212 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.212 * [taylor]: Taking taylor expansion of y in x 0.213 * [taylor]: Taking taylor expansion of 0 in y 0.214 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.214 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.214 * [taylor]: Taking taylor expansion of y in y 0.215 * [taylor]: Taking taylor expansion of 0 in y 0.218 * [taylor]: Taking taylor expansion of 0 in y 0.218 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.218 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.218 * [taylor]: Taking taylor expansion of -1 in y 0.218 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.218 * [taylor]: Taking taylor expansion of x in y 0.218 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.218 * [taylor]: Taking taylor expansion of y in y 0.219 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.219 * [taylor]: Taking taylor expansion of -1 in x 0.219 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.219 * [taylor]: Taking taylor expansion of y in x 0.219 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.219 * [taylor]: Taking taylor expansion of -1 in x 0.219 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.219 * [taylor]: Taking taylor expansion of y in x 0.220 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.220 * [taylor]: Taking taylor expansion of -1 in y 0.220 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.220 * [taylor]: Taking taylor expansion of y in y 0.222 * [taylor]: Taking taylor expansion of 0 in y 0.224 * [taylor]: Taking taylor expansion of 0 in y 0.227 * [taylor]: Taking taylor expansion of 0 in y 0.230 * [taylor]: Taking taylor expansion of 0 in y 0.231 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.231 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.231 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.231 * [taylor]: Taking taylor expansion of x in y 0.231 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.231 * [taylor]: Taking taylor expansion of y in y 0.231 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.231 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.231 * [taylor]: Taking taylor expansion of y in x 0.232 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.232 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.232 * [taylor]: Taking taylor expansion of y in x 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.232 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.232 * [taylor]: Taking taylor expansion of y in y 0.234 * [taylor]: Taking taylor expansion of 0 in y 0.236 * [taylor]: Taking taylor expansion of 0 in y 0.239 * [taylor]: Taking taylor expansion of 0 in y 0.243 * [taylor]: Taking taylor expansion of 0 in y 0.243 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.243 * [approximate]: Taking taylor expansion of (- (* 1.0 (* x y)) (* x (pow y 2))) in (x y) around 0 0.243 * [taylor]: Taking taylor expansion of (- (* 1.0 (* x y)) (* x (pow y 2))) in y 0.243 * [taylor]: Taking taylor expansion of (* 1.0 (* x y)) in y 0.243 * [taylor]: Taking taylor expansion of 1.0 in y 0.243 * [taylor]: Taking taylor expansion of (* x y) in y 0.243 * [taylor]: Taking taylor expansion of x in y 0.243 * [taylor]: Taking taylor expansion of y in y 0.243 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.243 * [taylor]: Taking taylor expansion of x in y 0.243 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.243 * [taylor]: Taking taylor expansion of y in y 0.243 * [taylor]: Taking taylor expansion of (- (* 1.0 (* x y)) (* x (pow y 2))) in x 0.243 * [taylor]: Taking taylor expansion of (* 1.0 (* x y)) in x 0.243 * [taylor]: Taking taylor expansion of 1.0 in x 0.243 * [taylor]: Taking taylor expansion of (* x y) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of y in x 0.244 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.244 * [taylor]: Taking taylor expansion of y in x 0.244 * [taylor]: Taking taylor expansion of (- (* 1.0 (* x y)) (* x (pow y 2))) in x 0.244 * [taylor]: Taking taylor expansion of (* 1.0 (* x y)) in x 0.244 * [taylor]: Taking taylor expansion of 1.0 in x 0.244 * [taylor]: Taking taylor expansion of (* x y) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of y in x 0.244 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.244 * [taylor]: Taking taylor expansion of y in x 0.245 * [taylor]: Taking taylor expansion of 0 in y 0.246 * [taylor]: Taking taylor expansion of (- (* 1.0 y) (pow y 2)) in y 0.246 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.246 * [taylor]: Taking taylor expansion of 1.0 in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.246 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.249 * [taylor]: Taking taylor expansion of 0 in y 0.253 * [taylor]: Taking taylor expansion of 0 in y 0.261 * [taylor]: Taking taylor expansion of 0 in y 0.263 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (* x y))) (/ 1 (* x (pow y 2)))) in (x y) around 0 0.263 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (* x y))) (/ 1 (* x (pow y 2)))) in y 0.263 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* x y))) in y 0.263 * [taylor]: Taking taylor expansion of 1.0 in y 0.263 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.263 * [taylor]: Taking taylor expansion of (* x y) in y 0.263 * [taylor]: Taking taylor expansion of x in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.264 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.264 * [taylor]: Taking taylor expansion of x in y 0.264 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (* x y))) (/ 1 (* x (pow y 2)))) in x 0.264 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* x y))) in x 0.264 * [taylor]: Taking taylor expansion of 1.0 in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.264 * [taylor]: Taking taylor expansion of (* x y) in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of y in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.264 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.264 * [taylor]: Taking taylor expansion of y in x 0.265 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (* x y))) (/ 1 (* x (pow y 2)))) in x 0.265 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* x y))) in x 0.265 * [taylor]: Taking taylor expansion of 1.0 in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.265 * [taylor]: Taking taylor expansion of (* x y) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of y in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.265 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.265 * [taylor]: Taking taylor expansion of y in x 0.266 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 y)) (/ 1 (pow y 2))) in y 0.266 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.266 * [taylor]: Taking taylor expansion of 1.0 in y 0.266 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.267 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.270 * [taylor]: Taking taylor expansion of 0 in y 0.275 * [taylor]: Taking taylor expansion of 0 in y 0.281 * [taylor]: Taking taylor expansion of 0 in y 0.289 * [taylor]: Taking taylor expansion of 0 in y 0.292 * [approximate]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 (* x y)))) in (x y) around 0 0.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 (* x y)))) in y 0.292 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.292 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.292 * [taylor]: Taking taylor expansion of x in y 0.292 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.292 * [taylor]: Taking taylor expansion of y in y 0.293 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* x y))) in y 0.293 * [taylor]: Taking taylor expansion of 1.0 in y 0.293 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.293 * [taylor]: Taking taylor expansion of (* x y) in y 0.293 * [taylor]: Taking taylor expansion of x in y 0.293 * [taylor]: Taking taylor expansion of y in y 0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 (* x y)))) in x 0.293 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.293 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.293 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.293 * [taylor]: Taking taylor expansion of y in x 0.294 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* x y))) in x 0.294 * [taylor]: Taking taylor expansion of 1.0 in x 0.294 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.294 * [taylor]: Taking taylor expansion of (* x y) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [taylor]: Taking taylor expansion of y in x 0.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 (* x y)))) in x 0.294 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.294 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.294 * [taylor]: Taking taylor expansion of y in x 0.295 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* x y))) in x 0.295 * [taylor]: Taking taylor expansion of 1.0 in x 0.295 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.295 * [taylor]: Taking taylor expansion of (* x y) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [taylor]: Taking taylor expansion of y in x 0.295 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 y)) (/ 1 (pow y 2))) in y 0.295 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.295 * [taylor]: Taking taylor expansion of 1.0 in y 0.295 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.295 * [taylor]: Taking taylor expansion of y in y 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.296 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.296 * [taylor]: Taking taylor expansion of y in y 0.298 * [taylor]: Taking taylor expansion of 0 in y 0.303 * [taylor]: Taking taylor expansion of 0 in y 0.309 * [taylor]: Taking taylor expansion of 0 in y 0.317 * [taylor]: Taking taylor expansion of 0 in y 0.319 * * * [progress]: simplifying candidates 0.320 * [simplify]: Simplifying using # : (expm1 (* (* x y) (- y))) (log1p (* (* x y) (- y))) (* (* x y) (- y)) (* (* x y) (- y)) (+ (+ (log x) (log y)) (log (- y))) (+ (log (* x y)) (log (- y))) (log (* (* x y) (- y))) (exp (* (* x y) (- y))) (* (* (* (* x x) x) (* (* y y) y)) (* (* (- y) (- y)) (- y))) (* (* (* (* x y) (* x y)) (* x y)) (* (* (- y) (- y)) (- y))) (* (cbrt (* (* x y) (- y))) (cbrt (* (* x y) (- y)))) (cbrt (* (* x y) (- y))) (* (* (* (* x y) (- y)) (* (* x y) (- y))) (* (* x y) (- y))) (sqrt (* (* x y) (- y))) (sqrt (* (* x y) (- y))) (* (* x y) y) (* (* x y) (* (cbrt (- y)) (cbrt (- y)))) (* (* x y) (sqrt (- y))) (* (* x y) 1) (* (* x y) -1) (* (* x y) (- (* (cbrt y) (cbrt y)))) (* (* x y) (- (sqrt y))) (* (* x y) (- 1)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* (* x y) 1) (* y (- y)) (expm1 (+ (* (* x y) 1.0) (* (* x y) (- y)))) (log1p (+ (* (* x y) 1.0) (* (* x y) (- y)))) (* (exp (* (* x y) 1.0)) (exp (* (* x y) (- y)))) (log (+ (* (* x y) 1.0) (* (* x y) (- y)))) (exp (+ (* (* x y) 1.0) (* (* x y) (- y)))) (* (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y)))) (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))) (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y)))) (* (* (+ (* (* x y) 1.0) (* (* x y) (- y))) (+ (* (* x y) 1.0) (* (* x y) (- y)))) (+ (* (* x y) 1.0) (* (* x y) (- y)))) (sqrt (+ (* (* x y) 1.0) (* (* x y) (- y)))) (sqrt (+ (* (* x y) 1.0) (* (* x y) (- y)))) (+ (pow (* (* x y) 1.0) 3) (pow (* (* x y) (- y)) 3)) (+ (* (* (* x y) 1.0) (* (* x y) 1.0)) (- (* (* (* x y) (- y)) (* (* x y) (- y))) (* (* (* x y) 1.0) (* (* x y) (- y))))) (- (* (* (* x y) 1.0) (* (* x y) 1.0)) (* (* (* x y) (- y)) (* (* x y) (- y)))) (- (* (* x y) 1.0) (* (* x y) (- y))) (+ 1.0 (- y)) (* -1 (* x (pow y 2))) (* -1 (* x (pow y 2))) (* -1 (* x (pow y 2))) (- (* 1.0 (* x y)) (* x (pow y 2))) (- (* 1.0 (* x y)) (* x (pow y 2))) (- (* 1.0 (* x y)) (* x (pow y 2))) 0.324 * * [simplify]: iteration 0 : 252 enodes (cost 263 ) 0.331 * * [simplify]: iteration 1 : 1522 enodes (cost 222 ) 0.378 * * [simplify]: iteration 2 : 5002 enodes (cost 217 ) 0.379 * [simplify]: Simplified to: (expm1 (* (* x y) (- y))) (log1p (* (* x y) (- y))) (* -1 (* x (pow y 2))) (* -1 (* x (pow y 2))) (log (* (* x y) (- y))) (log (* (* x y) (- y))) (log (* (* x y) (- y))) (exp (* (* x y) (- y))) (pow (* (* x y) (- y)) 3) (pow (* (* x y) (- y)) 3) (* (cbrt (* (* x y) (- y))) (cbrt (* (* x y) (- y)))) (cbrt (* (* x y) (- y))) (pow (* (* x y) (- y)) 3) (sqrt (* (* x y) (- y))) (sqrt (* (* x y) (- y))) (* (* x y) y) (* (* x y) (* (cbrt (- y)) (cbrt (- y)))) (* (* x y) (sqrt (- y))) (* x y) (- (* x y)) (* (* x y) (- (* (cbrt y) (cbrt y)))) (* (* x y) (- (sqrt y))) (- (* x y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* x y) (* y (- y)) (expm1 (+ (* (* x y) 1.0) (* (* x y) (- y)))) (log1p (+ (* (* x y) 1.0) (* (* x y) (- y)))) (pow (exp (* x y)) (- 1.0 y)) (+ (log (* x y)) (log (- 1.0 y))) (pow (exp (* x y)) (- 1.0 y)) (* (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y)))) (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))) (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y)))) (pow (* (* x y) (- 1.0 y)) 3) (sqrt (+ (* (* x y) 1.0) (* (* x y) (- y)))) (sqrt (+ (* (* x y) 1.0) (* (* x y) (- y)))) (* (pow (* x y) 3) (+ (pow (- y) 3) (pow 1.0 3))) (fma (* (* x y) (* x y)) (+ (* 1.0 1.0) (pow y 2)) (* (* (* x y) y) (* (* x y) 1.0))) (* (* (* x y) (* x y)) (- (* 1.0 1.0) (pow y 2))) (* (* x y) (+ 1.0 y)) (- 1.0 y) (* -1 (* x (pow y 2))) (* -1 (* x (pow y 2))) (* -1 (* x (pow y 2))) (* (* x y) (- 1.0 y)) (* (* x y) (- 1.0 y)) (* (* x y) (- 1.0 y)) 0.379 * * * [progress]: adding candidates to table 0.474 * * [progress]: iteration 3 / 4 0.474 * * * [progress]: picking best candidate 0.483 * * * * [pick]: Picked # 0.483 * * * [progress]: localizing error 0.493 * * * [progress]: generating rewritten candidates 0.493 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.494 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2) 0.498 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1) 0.499 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 0.507 * * * [progress]: generating series expansions 0.507 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.507 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 0.507 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.507 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.507 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.507 * [taylor]: Taking taylor expansion of 1/3 in y 0.507 * [taylor]: Taking taylor expansion of (log y) in y 0.507 * [taylor]: Taking taylor expansion of y in y 0.508 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.508 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.508 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.508 * [taylor]: Taking taylor expansion of 1/3 in y 0.508 * [taylor]: Taking taylor expansion of (log y) in y 0.508 * [taylor]: Taking taylor expansion of y in y 0.557 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 0.557 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.557 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.557 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.557 * [taylor]: Taking taylor expansion of 1/3 in y 0.557 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.557 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.557 * [taylor]: Taking taylor expansion of y in y 0.558 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.558 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.558 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.558 * [taylor]: Taking taylor expansion of 1/3 in y 0.558 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.558 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.558 * [taylor]: Taking taylor expansion of y in y 0.613 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 0.613 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.613 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.613 * [taylor]: Taking taylor expansion of -1 in y 0.613 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.614 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.614 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.614 * [taylor]: Taking taylor expansion of 1/3 in y 0.614 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.614 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.614 * [taylor]: Taking taylor expansion of y in y 0.614 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.615 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.615 * [taylor]: Taking taylor expansion of -1 in y 0.615 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.615 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.615 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.615 * [taylor]: Taking taylor expansion of 1/3 in y 0.615 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.615 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.615 * [taylor]: Taking taylor expansion of y in y 0.682 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2) 0.682 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 0.682 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.682 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.682 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.682 * [taylor]: Taking taylor expansion of 1/3 in y 0.682 * [taylor]: Taking taylor expansion of (log y) in y 0.682 * [taylor]: Taking taylor expansion of y in y 0.683 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.683 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.683 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.683 * [taylor]: Taking taylor expansion of 1/3 in y 0.683 * [taylor]: Taking taylor expansion of (log y) in y 0.683 * [taylor]: Taking taylor expansion of y in y 0.734 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 0.735 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.735 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.735 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.735 * [taylor]: Taking taylor expansion of 1/3 in y 0.735 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.735 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.735 * [taylor]: Taking taylor expansion of y in y 0.736 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.736 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.736 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.736 * [taylor]: Taking taylor expansion of 1/3 in y 0.736 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.736 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.736 * [taylor]: Taking taylor expansion of y in y 0.786 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 0.786 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.786 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.786 * [taylor]: Taking taylor expansion of -1 in y 0.787 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.787 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.787 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.787 * [taylor]: Taking taylor expansion of 1/3 in y 0.787 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.787 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.787 * [taylor]: Taking taylor expansion of y in y 0.788 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.788 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.788 * [taylor]: Taking taylor expansion of -1 in y 0.788 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.788 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.788 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.788 * [taylor]: Taking taylor expansion of 1/3 in y 0.788 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.788 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.788 * [taylor]: Taking taylor expansion of y in y 0.853 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1) 0.853 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 0.854 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.854 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.854 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.854 * [taylor]: Taking taylor expansion of 1/3 in y 0.854 * [taylor]: Taking taylor expansion of (log y) in y 0.854 * [taylor]: Taking taylor expansion of y in y 0.854 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.854 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.854 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.854 * [taylor]: Taking taylor expansion of 1/3 in y 0.854 * [taylor]: Taking taylor expansion of (log y) in y 0.854 * [taylor]: Taking taylor expansion of y in y 0.904 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 0.904 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.904 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.904 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.904 * [taylor]: Taking taylor expansion of 1/3 in y 0.904 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.904 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.904 * [taylor]: Taking taylor expansion of y in y 0.905 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.905 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.905 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.905 * [taylor]: Taking taylor expansion of 1/3 in y 0.905 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.905 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.905 * [taylor]: Taking taylor expansion of y in y 0.959 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 0.960 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.960 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.960 * [taylor]: Taking taylor expansion of -1 in y 0.960 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.960 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.960 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.960 * [taylor]: Taking taylor expansion of 1/3 in y 0.960 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.960 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.960 * [taylor]: Taking taylor expansion of y in y 0.961 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.961 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.961 * [taylor]: Taking taylor expansion of -1 in y 0.962 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.962 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.962 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.962 * [taylor]: Taking taylor expansion of 1/3 in y 0.962 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.962 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.962 * [taylor]: Taking taylor expansion of y in y 1.030 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 1.030 * [approximate]: Taking taylor expansion of (pow (pow y 2) 1/3) in (y) around 0 1.030 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.030 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.030 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.030 * [taylor]: Taking taylor expansion of 1/3 in y 1.030 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.030 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.030 * [taylor]: Taking taylor expansion of y in y 1.031 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.031 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.031 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.031 * [taylor]: Taking taylor expansion of 1/3 in y 1.031 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.031 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.031 * [taylor]: Taking taylor expansion of y in y 1.083 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in (y) around 0 1.083 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 1.083 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 1.083 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 1.083 * [taylor]: Taking taylor expansion of 1/3 in y 1.083 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.083 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.083 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.083 * [taylor]: Taking taylor expansion of y in y 1.084 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 1.084 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 1.084 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 1.084 * [taylor]: Taking taylor expansion of 1/3 in y 1.084 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.084 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.084 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.084 * [taylor]: Taking taylor expansion of y in y 1.145 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow y 2)) 1/3)) in (y) around 0 1.145 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow y 2)) 1/3)) in y 1.145 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 1.145 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.146 * [taylor]: Taking taylor expansion of -1 in y 1.146 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 1.146 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 1.146 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 1.146 * [taylor]: Taking taylor expansion of 1/3 in y 1.146 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.146 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.146 * [taylor]: Taking taylor expansion of y in y 1.148 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow y 2)) 1/3)) in y 1.148 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 1.148 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.148 * [taylor]: Taking taylor expansion of -1 in y 1.148 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 1.148 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 1.148 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 1.148 * [taylor]: Taking taylor expansion of 1/3 in y 1.148 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.148 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.148 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.148 * [taylor]: Taking taylor expansion of y in y 1.228 * * * [progress]: simplifying candidates 1.229 * [simplify]: Simplifying using # : (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (* (cbrt y) (cbrt y))) (log1p (* (cbrt y) (cbrt y))) (+ 1/3 1/3) (+ 1 1) (* y y) (* (cbrt y) (cbrt y)) (+ 1 1) (+ (log (cbrt y)) (log (cbrt y))) (log (* (cbrt y) (cbrt y))) (exp (* (cbrt y) (cbrt y))) (* y y) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))) (cbrt (* (cbrt y) (cbrt y))) (* (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (sqrt (* (cbrt y) (cbrt y))) (sqrt (* (cbrt y) (cbrt y))) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y)) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (sqrt (cbrt y)) (sqrt (cbrt y))) (* (sqrt (cbrt y)) (sqrt (cbrt y))) (* 1 1) (* (cbrt y) (cbrt y)) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (sqrt (cbrt y)) (cbrt (sqrt y))) (* (sqrt (cbrt y)) (cbrt (sqrt y))) (* (sqrt (cbrt y)) (sqrt (cbrt y))) (* (sqrt (cbrt y)) (sqrt (cbrt y))) (* 2 1/3) (* 2 1) (* (cbrt y) (cbrt (* (cbrt y) (cbrt y)))) (* (cbrt y) (cbrt (sqrt y))) (* (cbrt y) (cbrt 1)) (* (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (* (cbrt y) (sqrt (cbrt y))) (* (cbrt y) 1) (* (cbrt (cbrt y)) (cbrt y)) (* (cbrt (sqrt y)) (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt (cbrt y)) (cbrt y)) (* (sqrt (cbrt y)) (cbrt y)) (* (cbrt y) (cbrt y)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 2/3) (pow (/ 1 y) -2/3) (* (pow (cbrt -1) 2) (pow (pow y 2) 1/3)) 1.233 * * [simplify]: iteration 0 : 119 enodes (cost 308 ) 1.236 * * [simplify]: iteration 1 : 477 enodes (cost 281 ) 1.251 * * [simplify]: iteration 2 : 2972 enodes (cost 258 ) 1.316 * * [simplify]: iteration 3 : 5001 enodes (cost 255 ) 1.318 * [simplify]: Simplified to: (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) 1 (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) 1 (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) 1 (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (* (cbrt y) (cbrt y))) (log1p (* (cbrt y) (cbrt y))) 2/3 2 (pow y 2) (pow y 2/3) 2 (* 2/3 (log y)) (* 2/3 (log y)) (exp (pow y 2/3)) (pow y 2) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))) (cbrt (* (cbrt y) (cbrt y))) (pow y 2) (fabs (pow y 1/3)) (fabs (pow y 1/3)) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) 1 (pow y 2/3) (pow (cbrt (cbrt y)) 4) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (pow y 1/3) (pow y 1/3) 1 (pow y 2/3) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (pow y 1/3) (pow y 1/3) 2/3 2 (* (cbrt y) (cbrt (* (cbrt y) (cbrt y)))) (* (cbrt y) (cbrt (sqrt y))) (pow y 1/3) (pow (cbrt (cbrt y)) 5) (pow (sqrt (cbrt y)) 3) (pow y 1/3) (pow (cbrt (cbrt y)) 4) (* (cbrt y) (cbrt (sqrt y))) (pow y 2/3) (pow (cbrt (cbrt y)) 4) (pow (sqrt (cbrt y)) 3) (pow y 2/3) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 2/3) (pow (/ 1 y) -2/3) (* (pow (cbrt -1) 2) (pow (pow y 2) 1/3)) 1.318 * * * [progress]: adding candidates to table 1.555 * * [progress]: iteration 4 / 4 1.555 * * * [progress]: picking best candidate 1.567 * * * * [pick]: Picked # 1.567 * * * [progress]: localizing error 1.583 * * * [progress]: generating rewritten candidates 1.583 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.585 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2 1 2) 1.586 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2 1 1) 1.587 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 2 1 2) 1.590 * * * [progress]: generating series expansions 1.590 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.590 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 1.590 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.590 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.590 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.590 * [taylor]: Taking taylor expansion of 1/3 in y 1.590 * [taylor]: Taking taylor expansion of (log y) in y 1.590 * [taylor]: Taking taylor expansion of y in y 1.591 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.591 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.591 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.591 * [taylor]: Taking taylor expansion of 1/3 in y 1.591 * [taylor]: Taking taylor expansion of (log y) in y 1.591 * [taylor]: Taking taylor expansion of y in y 1.644 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 1.645 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.645 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.645 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.645 * [taylor]: Taking taylor expansion of 1/3 in y 1.645 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.645 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.645 * [taylor]: Taking taylor expansion of y in y 1.646 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.646 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.646 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.646 * [taylor]: Taking taylor expansion of 1/3 in y 1.646 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.646 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.646 * [taylor]: Taking taylor expansion of y in y 1.697 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 1.697 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.697 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.697 * [taylor]: Taking taylor expansion of -1 in y 1.698 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.698 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.698 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.698 * [taylor]: Taking taylor expansion of 1/3 in y 1.698 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.698 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.698 * [taylor]: Taking taylor expansion of y in y 1.699 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.699 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.699 * [taylor]: Taking taylor expansion of -1 in y 1.700 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.700 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.700 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.700 * [taylor]: Taking taylor expansion of 1/3 in y 1.700 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.700 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.700 * [taylor]: Taking taylor expansion of y in y 1.768 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2 1 2) 1.768 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 1.768 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.768 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.768 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.768 * [taylor]: Taking taylor expansion of 1/3 in y 1.768 * [taylor]: Taking taylor expansion of (log y) in y 1.768 * [taylor]: Taking taylor expansion of y in y 1.768 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.768 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.768 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.768 * [taylor]: Taking taylor expansion of 1/3 in y 1.768 * [taylor]: Taking taylor expansion of (log y) in y 1.768 * [taylor]: Taking taylor expansion of y in y 1.822 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 1.822 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.822 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.822 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.822 * [taylor]: Taking taylor expansion of 1/3 in y 1.822 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.822 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.822 * [taylor]: Taking taylor expansion of y in y 1.823 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.823 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.823 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.823 * [taylor]: Taking taylor expansion of 1/3 in y 1.823 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.823 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.823 * [taylor]: Taking taylor expansion of y in y 1.879 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 1.879 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.879 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.879 * [taylor]: Taking taylor expansion of -1 in y 1.880 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.880 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.880 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.880 * [taylor]: Taking taylor expansion of 1/3 in y 1.880 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.880 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.880 * [taylor]: Taking taylor expansion of y in y 1.881 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.881 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.881 * [taylor]: Taking taylor expansion of -1 in y 1.882 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.882 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.882 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.882 * [taylor]: Taking taylor expansion of 1/3 in y 1.882 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.882 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.882 * [taylor]: Taking taylor expansion of y in y 1.949 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2 1 1) 1.949 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 1.949 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.949 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.949 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.949 * [taylor]: Taking taylor expansion of 1/3 in y 1.949 * [taylor]: Taking taylor expansion of (log y) in y 1.949 * [taylor]: Taking taylor expansion of y in y 1.950 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.950 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.950 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.950 * [taylor]: Taking taylor expansion of 1/3 in y 1.950 * [taylor]: Taking taylor expansion of (log y) in y 1.950 * [taylor]: Taking taylor expansion of y in y 1.998 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 1.998 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.998 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.998 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.998 * [taylor]: Taking taylor expansion of 1/3 in y 1.998 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.998 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.998 * [taylor]: Taking taylor expansion of y in y 1.999 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.999 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.999 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.999 * [taylor]: Taking taylor expansion of 1/3 in y 1.999 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.999 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.999 * [taylor]: Taking taylor expansion of y in y 2.056 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 2.056 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 2.056 * [taylor]: Taking taylor expansion of (cbrt -1) in y 2.056 * [taylor]: Taking taylor expansion of -1 in y 2.057 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 2.057 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 2.057 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 2.057 * [taylor]: Taking taylor expansion of 1/3 in y 2.057 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 2.057 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.057 * [taylor]: Taking taylor expansion of y in y 2.058 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 2.058 * [taylor]: Taking taylor expansion of (cbrt -1) in y 2.058 * [taylor]: Taking taylor expansion of -1 in y 2.059 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 2.059 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 2.059 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 2.059 * [taylor]: Taking taylor expansion of 1/3 in y 2.059 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 2.059 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.059 * [taylor]: Taking taylor expansion of y in y 2.127 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 2 1 2) 2.127 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 2.127 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 2.127 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 2.127 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 2.127 * [taylor]: Taking taylor expansion of 1/3 in y 2.127 * [taylor]: Taking taylor expansion of (log y) in y 2.127 * [taylor]: Taking taylor expansion of y in y 2.128 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 2.128 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 2.128 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 2.128 * [taylor]: Taking taylor expansion of 1/3 in y 2.128 * [taylor]: Taking taylor expansion of (log y) in y 2.128 * [taylor]: Taking taylor expansion of y in y 2.181 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 2.181 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 2.181 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 2.181 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 2.181 * [taylor]: Taking taylor expansion of 1/3 in y 2.181 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 2.181 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.181 * [taylor]: Taking taylor expansion of y in y 2.182 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 2.182 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 2.182 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 2.182 * [taylor]: Taking taylor expansion of 1/3 in y 2.182 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 2.182 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.182 * [taylor]: Taking taylor expansion of y in y 2.232 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 2.232 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 2.232 * [taylor]: Taking taylor expansion of (cbrt -1) in y 2.232 * [taylor]: Taking taylor expansion of -1 in y 2.233 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 2.233 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 2.233 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 2.233 * [taylor]: Taking taylor expansion of 1/3 in y 2.233 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 2.233 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.233 * [taylor]: Taking taylor expansion of y in y 2.234 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 2.234 * [taylor]: Taking taylor expansion of (cbrt -1) in y 2.234 * [taylor]: Taking taylor expansion of -1 in y 2.235 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 2.235 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 2.235 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 2.235 * [taylor]: Taking taylor expansion of 1/3 in y 2.235 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 2.235 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.235 * [taylor]: Taking taylor expansion of y in y 2.301 * * * [progress]: simplifying candidates 2.302 * [simplify]: Simplifying using # : (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) 2.305 * * [simplify]: iteration 0 : 42 enodes (cost 172 ) 2.306 * * [simplify]: iteration 1 : 83 enodes (cost 160 ) 2.308 * * [simplify]: iteration 2 : 195 enodes (cost 152 ) 2.312 * * [simplify]: iteration 3 : 699 enodes (cost 152 ) 2.333 * * [simplify]: iteration 4 : 4132 enodes (cost 152 ) 2.426 * * [simplify]: iteration 5 : 5001 enodes (cost 152 ) 2.427 * [simplify]: Simplified to: (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) 2.428 * * * [progress]: adding candidates to table 2.651 * [progress]: [Phase 3 of 3] Extracting. 2.651 * * [regime]: Finding splitpoints for: (# # # # # #) 2.652 * * * [regime-changes]: Trying 2 branch expressions: (y x) 2.652 * * * * [regimes]: Trying to branch on y from (# # # # # #) 2.676 * * * * [regimes]: Trying to branch on x from (# # # # # #) 2.696 * * * [regime]: Found split indices: #