6.632 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (* (* x y) (- 1.0 y)) 0.020 * * [simplify]: iteration 0 : 12 enodes (cost 3 ) 0.021 * * [simplify]: iteration 1 : 32 enodes (cost 3 ) 0.022 * * [simplify]: iteration 2 : 74 enodes (cost 3 ) 0.024 * * [simplify]: iteration 3 : 112 enodes (cost 3 ) 0.026 * * [simplify]: iteration 4 : 123 enodes (cost 3 ) 0.028 * * [simplify]: iteration 5 : 127 enodes (cost 3 ) 0.030 * * [simplify]: iteration 6 : 127 enodes (cost 3 ) 0.030 * [simplify]: Simplified to: (* (* x y) (- 1.0 y)) 0.030 * * [progress]: iteration 1 / 4 0.030 * * * [progress]: picking best candidate 0.032 * * * * [pick]: Picked # 0.032 * * * [progress]: localizing error 0.036 * * * [progress]: generating rewritten candidates 0.036 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.067 * * * [progress]: generating series expansions 0.067 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.068 * [approximate]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in (x y) around 0 0.068 * [taylor]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in y 0.068 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.068 * [taylor]: Taking taylor expansion of 1.0 in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.068 * [taylor]: Taking taylor expansion of (* x y) in y 0.068 * [taylor]: Taking taylor expansion of x in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.068 * [taylor]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in x 0.068 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.068 * [taylor]: Taking taylor expansion of 1.0 in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.068 * [taylor]: Taking taylor expansion of (* x y) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.071 * [taylor]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in x 0.071 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.071 * [taylor]: Taking taylor expansion of 1.0 in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.071 * [taylor]: Taking taylor expansion of (* x y) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [taylor]: Taking taylor expansion of (- (* 1.0 y) (pow y 2)) in y 0.072 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.072 * [taylor]: Taking taylor expansion of 1.0 in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.073 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.081 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in (x y) around 0 0.081 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in y 0.081 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.081 * [taylor]: Taking taylor expansion of 1.0 in y 0.081 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.081 * [taylor]: Taking taylor expansion of y in y 0.082 * [taylor]: Taking taylor expansion of (* x y) in y 0.082 * [taylor]: Taking taylor expansion of x in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.082 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in x 0.082 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.082 * [taylor]: Taking taylor expansion of 1.0 in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.082 * [taylor]: Taking taylor expansion of y in x 0.083 * [taylor]: Taking taylor expansion of (* x y) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.083 * [taylor]: Taking taylor expansion of y in x 0.083 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in x 0.083 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.083 * [taylor]: Taking taylor expansion of 1.0 in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.083 * [taylor]: Taking taylor expansion of y in x 0.083 * [taylor]: Taking taylor expansion of (* x y) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.083 * [taylor]: Taking taylor expansion of y in x 0.083 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) y) in y 0.084 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.084 * [taylor]: Taking taylor expansion of 1.0 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 y in y 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.091 * [taylor]: Taking taylor expansion of 0 in y 0.094 * [taylor]: Taking taylor expansion of 0 in y 0.096 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in (x y) around 0 0.096 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in y 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.096 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.096 * [taylor]: Taking taylor expansion of y in y 0.097 * [taylor]: Taking taylor expansion of 1.0 in y 0.097 * [taylor]: Taking taylor expansion of (* x y) in y 0.097 * [taylor]: Taking taylor expansion of x in y 0.097 * [taylor]: Taking taylor expansion of y in y 0.097 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in x 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.097 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.097 * [taylor]: Taking taylor expansion of y in x 0.097 * [taylor]: Taking taylor expansion of 1.0 in x 0.097 * [taylor]: Taking taylor expansion of (* x y) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [taylor]: Taking taylor expansion of y in x 0.098 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in x 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.098 * [taylor]: Taking taylor expansion of y in x 0.098 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [taylor]: Taking taylor expansion of (* x y) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of y in x 0.098 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) y) in y 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.098 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.098 * [taylor]: Taking taylor expansion of y in y 0.099 * [taylor]: Taking taylor expansion of 1.0 in y 0.099 * [taylor]: Taking taylor expansion of y in y 0.100 * [taylor]: Taking taylor expansion of 0 in y 0.102 * [taylor]: Taking taylor expansion of 0 in y 0.105 * [taylor]: Taking taylor expansion of 0 in y 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.109 * * * [progress]: simplifying candidates 0.110 * [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))) 0.115 * * [simplify]: iteration 0 : 292 enodes (cost 436 ) 0.121 * * [simplify]: iteration 1 : 1402 enodes (cost 284 ) 0.152 * * [simplify]: iteration 2 : 5001 enodes (cost 272 ) 0.154 * [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)) 0.154 * * * [progress]: adding candidates to table 0.199 * * [progress]: iteration 2 / 4 0.199 * * * [progress]: picking best candidate 0.205 * * * * [pick]: Picked # 0.205 * * * [progress]: localizing error 0.212 * * * [progress]: generating rewritten candidates 0.212 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.231 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.252 * * * [progress]: generating series expansions 0.252 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.252 * [approximate]: Taking taylor expansion of (* -1 (* x (pow y 2))) in (x y) around 0 0.252 * [taylor]: Taking taylor expansion of (* -1 (* x (pow y 2))) in y 0.252 * [taylor]: Taking taylor expansion of -1 in y 0.252 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.252 * [taylor]: Taking taylor expansion of x in y 0.252 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.252 * [taylor]: Taking taylor expansion of y in y 0.252 * [taylor]: Taking taylor expansion of (* -1 (* x (pow y 2))) in x 0.252 * [taylor]: Taking taylor expansion of -1 in x 0.252 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.252 * [taylor]: Taking taylor expansion of y in x 0.252 * [taylor]: Taking taylor expansion of (* -1 (* x (pow y 2))) in x 0.253 * [taylor]: Taking taylor expansion of -1 in x 0.253 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.253 * [taylor]: Taking taylor expansion of y in x 0.253 * [taylor]: Taking taylor expansion of 0 in y 0.254 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.254 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.254 * [taylor]: Taking taylor expansion of y in y 0.256 * [taylor]: Taking taylor expansion of 0 in y 0.258 * [taylor]: Taking taylor expansion of 0 in y 0.258 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.258 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.258 * [taylor]: Taking taylor expansion of -1 in y 0.258 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.258 * [taylor]: Taking taylor expansion of x in y 0.258 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.259 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.259 * [taylor]: Taking taylor expansion of -1 in x 0.259 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.259 * [taylor]: Taking taylor expansion of y in x 0.259 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.259 * [taylor]: Taking taylor expansion of -1 in x 0.259 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.259 * [taylor]: Taking taylor expansion of y in x 0.260 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.260 * [taylor]: Taking taylor expansion of -1 in y 0.260 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.260 * [taylor]: Taking taylor expansion of y in y 0.261 * [taylor]: Taking taylor expansion of 0 in y 0.263 * [taylor]: Taking taylor expansion of 0 in y 0.266 * [taylor]: Taking taylor expansion of 0 in y 0.270 * [taylor]: Taking taylor expansion of 0 in y 0.270 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.270 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.270 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.270 * [taylor]: Taking taylor expansion of x in y 0.270 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.270 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.270 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.270 * [taylor]: Taking taylor expansion of y in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.271 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.271 * [taylor]: Taking taylor expansion of y in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.271 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.271 * [taylor]: Taking taylor expansion of y in y 0.273 * [taylor]: Taking taylor expansion of 0 in y 0.275 * [taylor]: Taking taylor expansion of 0 in y 0.278 * [taylor]: Taking taylor expansion of 0 in y 0.281 * [taylor]: Taking taylor expansion of 0 in y 0.281 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.281 * [approximate]: Taking taylor expansion of (- (* 1.0 (* x y)) (* x (pow y 2))) in (x y) around 0 0.281 * [taylor]: Taking taylor expansion of (- (* 1.0 (* x y)) (* x (pow y 2))) in y 0.281 * [taylor]: Taking taylor expansion of (* 1.0 (* x y)) in y 0.281 * [taylor]: Taking taylor expansion of 1.0 in y 0.281 * [taylor]: Taking taylor expansion of (* x y) in y 0.281 * [taylor]: Taking taylor expansion of x in y 0.281 * [taylor]: Taking taylor expansion of y in y 0.281 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.282 * [taylor]: Taking taylor expansion of x in y 0.282 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.282 * [taylor]: Taking taylor expansion of y in y 0.282 * [taylor]: Taking taylor expansion of (- (* 1.0 (* x y)) (* x (pow y 2))) in x 0.282 * [taylor]: Taking taylor expansion of (* 1.0 (* x y)) in x 0.282 * [taylor]: Taking taylor expansion of 1.0 in x 0.282 * [taylor]: Taking taylor expansion of (* x y) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [taylor]: Taking taylor expansion of y in x 0.282 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.282 * [taylor]: Taking taylor expansion of y in x 0.282 * [taylor]: Taking taylor expansion of (- (* 1.0 (* x y)) (* x (pow y 2))) in x 0.282 * [taylor]: Taking taylor expansion of (* 1.0 (* x y)) in x 0.282 * [taylor]: Taking taylor expansion of 1.0 in x 0.282 * [taylor]: Taking taylor expansion of (* x y) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [taylor]: Taking taylor expansion of y in x 0.282 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.282 * [taylor]: Taking taylor expansion of y in x 0.283 * [taylor]: Taking taylor expansion of 0 in y 0.284 * [taylor]: Taking taylor expansion of (- (* 1.0 y) (pow y 2)) in y 0.284 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.284 * [taylor]: Taking taylor expansion of 1.0 in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.284 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.286 * [taylor]: Taking taylor expansion of 0 in y 0.290 * [taylor]: Taking taylor expansion of 0 in y 0.295 * [taylor]: Taking taylor expansion of 0 in y 0.296 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (* x y))) (/ 1 (* x (pow y 2)))) in (x y) around 0 0.297 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (* x y))) (/ 1 (* x (pow y 2)))) in y 0.297 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* x y))) in y 0.297 * [taylor]: Taking taylor expansion of 1.0 in y 0.297 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.297 * [taylor]: Taking taylor expansion of (* x y) in y 0.297 * [taylor]: Taking taylor expansion of x in y 0.297 * [taylor]: Taking taylor expansion of y in y 0.297 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.297 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.297 * [taylor]: Taking taylor expansion of x in y 0.297 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.297 * [taylor]: Taking taylor expansion of y in y 0.297 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (* x y))) (/ 1 (* x (pow y 2)))) in x 0.297 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* x y))) in x 0.297 * [taylor]: Taking taylor expansion of 1.0 in x 0.297 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.297 * [taylor]: Taking taylor expansion of (* x y) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.297 * [taylor]: Taking taylor expansion of y in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.298 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.298 * [taylor]: Taking taylor expansion of y in x 0.298 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (* x y))) (/ 1 (* x (pow y 2)))) in x 0.298 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* x y))) in x 0.298 * [taylor]: Taking taylor expansion of 1.0 in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.298 * [taylor]: Taking taylor expansion of (* x y) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of y in x 0.299 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.299 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.299 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.299 * [taylor]: Taking taylor expansion of y in x 0.300 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 y)) (/ 1 (pow y 2))) in y 0.300 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.300 * [taylor]: Taking taylor expansion of 1.0 in y 0.300 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.300 * [taylor]: Taking taylor expansion of y in y 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.300 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.300 * [taylor]: Taking taylor expansion of y in y 0.303 * [taylor]: Taking taylor expansion of 0 in y 0.307 * [taylor]: Taking taylor expansion of 0 in y 0.313 * [taylor]: Taking taylor expansion of 0 in y 0.324 * [taylor]: Taking taylor expansion of 0 in y 0.327 * [approximate]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 (* x y)))) in (x y) around 0 0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 (* x y)))) in y 0.327 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.327 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.327 * [taylor]: Taking taylor expansion of x in y 0.327 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.327 * [taylor]: Taking taylor expansion of y in y 0.327 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* x y))) in y 0.327 * [taylor]: Taking taylor expansion of 1.0 in y 0.327 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.327 * [taylor]: Taking taylor expansion of (* x y) in y 0.327 * [taylor]: Taking taylor expansion of x in y 0.327 * [taylor]: Taking taylor expansion of y in y 0.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 (* x y)))) in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.328 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.328 * [taylor]: Taking taylor expansion of y in x 0.328 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* x y))) in x 0.328 * [taylor]: Taking taylor expansion of 1.0 in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.328 * [taylor]: Taking taylor expansion of (* x y) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of y in x 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 (* x y)))) in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.329 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.329 * [taylor]: Taking taylor expansion of y in x 0.329 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* x y))) in x 0.329 * [taylor]: Taking taylor expansion of 1.0 in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.329 * [taylor]: Taking taylor expansion of (* x y) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of y in x 0.330 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 y)) (/ 1 (pow y 2))) in y 0.330 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.330 * [taylor]: Taking taylor expansion of 1.0 in y 0.330 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.330 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.333 * [taylor]: Taking taylor expansion of 0 in y 0.336 * [taylor]: Taking taylor expansion of 0 in y 0.342 * [taylor]: Taking taylor expansion of 0 in y 0.348 * [taylor]: Taking taylor expansion of 0 in y 0.351 * * * [progress]: simplifying candidates 0.352 * [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))) 0.356 * * [simplify]: iteration 0 : 252 enodes (cost 263 ) 0.362 * * [simplify]: iteration 1 : 1522 enodes (cost 222 ) 0.411 * * [simplify]: iteration 2 : 5002 enodes (cost 217 ) 0.413 * [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)) 0.413 * * * [progress]: adding candidates to table 0.501 * * [progress]: iteration 3 / 4 0.501 * * * [progress]: picking best candidate 0.507 * * * * [pick]: Picked # 0.507 * * * [progress]: localizing error 0.517 * * * [progress]: generating rewritten candidates 0.517 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.518 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2) 0.519 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1) 0.520 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 0.532 * * * [progress]: generating series expansions 0.532 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.532 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 0.532 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.532 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.532 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.532 * [taylor]: Taking taylor expansion of 1/3 in y 0.532 * [taylor]: Taking taylor expansion of (log y) in y 0.532 * [taylor]: Taking taylor expansion of y in y 0.533 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.533 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.533 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.533 * [taylor]: Taking taylor expansion of 1/3 in y 0.533 * [taylor]: Taking taylor expansion of (log y) in y 0.533 * [taylor]: Taking taylor expansion of y in y 0.585 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 0.585 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.585 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.585 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.585 * [taylor]: Taking taylor expansion of 1/3 in y 0.585 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.585 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.585 * [taylor]: Taking taylor expansion of y in y 0.586 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.586 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.586 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.586 * [taylor]: Taking taylor expansion of 1/3 in y 0.586 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.586 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.586 * [taylor]: Taking taylor expansion of y in y 0.641 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 0.641 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.641 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.641 * [taylor]: Taking taylor expansion of -1 in y 0.642 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.642 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.642 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.642 * [taylor]: Taking taylor expansion of 1/3 in y 0.642 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.642 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.642 * [taylor]: Taking taylor expansion of y in y 0.643 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.643 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.643 * [taylor]: Taking taylor expansion of -1 in y 0.644 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.644 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.644 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.644 * [taylor]: Taking taylor expansion of 1/3 in y 0.644 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.644 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.644 * [taylor]: Taking taylor expansion of y in y 0.703 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2) 0.703 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 0.703 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.703 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.703 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.703 * [taylor]: Taking taylor expansion of 1/3 in y 0.703 * [taylor]: Taking taylor expansion of (log y) in y 0.703 * [taylor]: Taking taylor expansion of y in y 0.703 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.704 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.704 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.704 * [taylor]: Taking taylor expansion of 1/3 in y 0.704 * [taylor]: Taking taylor expansion of (log y) in y 0.704 * [taylor]: Taking taylor expansion of y in y 0.755 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 0.755 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.755 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.755 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.755 * [taylor]: Taking taylor expansion of 1/3 in y 0.755 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.755 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.755 * [taylor]: Taking taylor expansion of y in y 0.756 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.756 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.756 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.756 * [taylor]: Taking taylor expansion of 1/3 in y 0.756 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.756 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.756 * [taylor]: Taking taylor expansion of y in y 0.810 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 0.810 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.810 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.810 * [taylor]: Taking taylor expansion of -1 in y 0.811 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.811 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.811 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.811 * [taylor]: Taking taylor expansion of 1/3 in y 0.811 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.811 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.811 * [taylor]: Taking taylor expansion of y in y 0.812 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.812 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.812 * [taylor]: Taking taylor expansion of -1 in y 0.813 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.813 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.813 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.813 * [taylor]: Taking taylor expansion of 1/3 in y 0.813 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.813 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.813 * [taylor]: Taking taylor expansion of y in y 0.877 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1) 0.877 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 0.877 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.877 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.877 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.877 * [taylor]: Taking taylor expansion of 1/3 in y 0.877 * [taylor]: Taking taylor expansion of (log y) in y 0.877 * [taylor]: Taking taylor expansion of y in y 0.877 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.877 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.877 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.877 * [taylor]: Taking taylor expansion of 1/3 in y 0.877 * [taylor]: Taking taylor expansion of (log y) in y 0.877 * [taylor]: Taking taylor expansion of y in y 0.924 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 0.924 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.924 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.924 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.924 * [taylor]: Taking taylor expansion of 1/3 in y 0.924 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.924 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.924 * [taylor]: Taking taylor expansion of y in y 0.925 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.925 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.925 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.925 * [taylor]: Taking taylor expansion of 1/3 in y 0.925 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.925 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.925 * [taylor]: Taking taylor expansion of y in y 0.980 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 0.980 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.980 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.980 * [taylor]: Taking taylor expansion of -1 in y 0.980 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.980 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.980 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.980 * [taylor]: Taking taylor expansion of 1/3 in y 0.980 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.980 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.980 * [taylor]: Taking taylor expansion of y in y 0.981 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.981 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.981 * [taylor]: Taking taylor expansion of -1 in y 0.982 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.982 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.982 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.982 * [taylor]: Taking taylor expansion of 1/3 in y 0.982 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.982 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.982 * [taylor]: Taking taylor expansion of y in y 1.046 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 1.046 * [approximate]: Taking taylor expansion of (pow (pow y 2) 1/3) in (y) around 0 1.046 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.046 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.046 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.046 * [taylor]: Taking taylor expansion of 1/3 in y 1.046 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.046 * [taylor]: Taking taylor expansion of y in y 1.047 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.047 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.047 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.047 * [taylor]: Taking taylor expansion of 1/3 in y 1.047 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.047 * [taylor]: Taking taylor expansion of y in y 1.102 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in (y) around 0 1.102 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 1.102 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 1.102 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 1.102 * [taylor]: Taking taylor expansion of 1/3 in y 1.102 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.102 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.102 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.102 * [taylor]: Taking taylor expansion of y in y 1.103 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 1.103 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 1.103 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 1.103 * [taylor]: Taking taylor expansion of 1/3 in y 1.103 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.104 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.104 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.104 * [taylor]: Taking taylor expansion of y in y 1.156 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow y 2)) 1/3)) in (y) around 0 1.156 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow y 2)) 1/3)) in y 1.156 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 1.156 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.156 * [taylor]: Taking taylor expansion of -1 in y 1.157 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 1.157 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 1.157 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 1.157 * [taylor]: Taking taylor expansion of 1/3 in y 1.157 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.157 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.157 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.157 * [taylor]: Taking taylor expansion of y in y 1.158 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow y 2)) 1/3)) in y 1.158 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 1.158 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.158 * [taylor]: Taking taylor expansion of -1 in y 1.159 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 1.159 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 1.159 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 1.159 * [taylor]: Taking taylor expansion of 1/3 in y 1.159 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.159 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.159 * [taylor]: Taking taylor expansion of y in y 1.234 * * * [progress]: simplifying candidates 1.235 * [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)) 1.238 * * [simplify]: iteration 0 : 119 enodes (cost 308 ) 1.241 * * [simplify]: iteration 1 : 477 enodes (cost 281 ) 1.255 * * [simplify]: iteration 2 : 2972 enodes (cost 258 ) 1.321 * * [simplify]: iteration 3 : 5001 enodes (cost 255 ) 1.328 * [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)) 1.329 * * * [progress]: adding candidates to table 1.549 * * [progress]: iteration 4 / 4 1.549 * * * [progress]: picking best candidate 1.554 * * * * [pick]: Picked # 1.554 * * * [progress]: localizing error 1.561 * * * [progress]: generating rewritten candidates 1.561 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 1.580 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.599 * * * [progress]: generating series expansions 1.599 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 1.599 * [approximate]: Taking taylor expansion of (* -1 (* x (pow y 2))) in (x y) around 0 1.599 * [taylor]: Taking taylor expansion of (* -1 (* x (pow y 2))) in y 1.599 * [taylor]: Taking taylor expansion of -1 in y 1.599 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.599 * [taylor]: Taking taylor expansion of x in y 1.599 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.599 * [taylor]: Taking taylor expansion of y in y 1.599 * [taylor]: Taking taylor expansion of (* -1 (* x (pow y 2))) in x 1.599 * [taylor]: Taking taylor expansion of -1 in x 1.599 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.599 * [taylor]: Taking taylor expansion of x in x 1.599 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.599 * [taylor]: Taking taylor expansion of y in x 1.599 * [taylor]: Taking taylor expansion of (* -1 (* x (pow y 2))) in x 1.599 * [taylor]: Taking taylor expansion of -1 in x 1.599 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.599 * [taylor]: Taking taylor expansion of x in x 1.599 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.599 * [taylor]: Taking taylor expansion of y in x 1.600 * [taylor]: Taking taylor expansion of 0 in y 1.601 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 1.601 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.601 * [taylor]: Taking taylor expansion of y in y 1.603 * [taylor]: Taking taylor expansion of 0 in y 1.605 * [taylor]: Taking taylor expansion of 0 in y 1.605 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 1.605 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 1.605 * [taylor]: Taking taylor expansion of -1 in y 1.605 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.605 * [taylor]: Taking taylor expansion of x in y 1.605 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.605 * [taylor]: Taking taylor expansion of y in y 1.606 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 1.606 * [taylor]: Taking taylor expansion of -1 in x 1.606 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.606 * [taylor]: Taking taylor expansion of x in x 1.606 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.606 * [taylor]: Taking taylor expansion of y in x 1.609 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 1.610 * [taylor]: Taking taylor expansion of -1 in x 1.610 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.610 * [taylor]: Taking taylor expansion of x in x 1.610 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.610 * [taylor]: Taking taylor expansion of y in x 1.610 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 1.610 * [taylor]: Taking taylor expansion of -1 in y 1.610 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.610 * [taylor]: Taking taylor expansion of y in y 1.612 * [taylor]: Taking taylor expansion of 0 in y 1.614 * [taylor]: Taking taylor expansion of 0 in y 1.617 * [taylor]: Taking taylor expansion of 0 in y 1.620 * [taylor]: Taking taylor expansion of 0 in y 1.621 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 1.621 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 1.621 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.621 * [taylor]: Taking taylor expansion of x in y 1.621 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.621 * [taylor]: Taking taylor expansion of y in y 1.621 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.621 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.621 * [taylor]: Taking taylor expansion of x in x 1.621 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.621 * [taylor]: Taking taylor expansion of y in x 1.622 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.622 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.622 * [taylor]: Taking taylor expansion of x in x 1.622 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.622 * [taylor]: Taking taylor expansion of y in x 1.622 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.622 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.622 * [taylor]: Taking taylor expansion of y in y 1.624 * [taylor]: Taking taylor expansion of 0 in y 1.626 * [taylor]: Taking taylor expansion of 0 in y 1.628 * [taylor]: Taking taylor expansion of 0 in y 1.632 * [taylor]: Taking taylor expansion of 0 in y 1.632 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.632 * [approximate]: Taking taylor expansion of (- (* 1.0 (* x y)) (* x (pow y 2))) in (x y) around 0 1.632 * [taylor]: Taking taylor expansion of (- (* 1.0 (* x y)) (* x (pow y 2))) in y 1.632 * [taylor]: Taking taylor expansion of (* 1.0 (* x y)) in y 1.632 * [taylor]: Taking taylor expansion of 1.0 in y 1.632 * [taylor]: Taking taylor expansion of (* x y) in y 1.632 * [taylor]: Taking taylor expansion of x in y 1.632 * [taylor]: Taking taylor expansion of y in y 1.632 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.632 * [taylor]: Taking taylor expansion of x in y 1.632 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.632 * [taylor]: Taking taylor expansion of y in y 1.632 * [taylor]: Taking taylor expansion of (- (* 1.0 (* x y)) (* x (pow y 2))) in x 1.632 * [taylor]: Taking taylor expansion of (* 1.0 (* x y)) in x 1.632 * [taylor]: Taking taylor expansion of 1.0 in x 1.632 * [taylor]: Taking taylor expansion of (* x y) in x 1.632 * [taylor]: Taking taylor expansion of x in x 1.632 * [taylor]: Taking taylor expansion of y in x 1.632 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.632 * [taylor]: Taking taylor expansion of x in x 1.632 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.632 * [taylor]: Taking taylor expansion of y in x 1.632 * [taylor]: Taking taylor expansion of (- (* 1.0 (* x y)) (* x (pow y 2))) in x 1.632 * [taylor]: Taking taylor expansion of (* 1.0 (* x y)) in x 1.632 * [taylor]: Taking taylor expansion of 1.0 in x 1.632 * [taylor]: Taking taylor expansion of (* x y) in x 1.632 * [taylor]: Taking taylor expansion of x in x 1.632 * [taylor]: Taking taylor expansion of y in x 1.633 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.633 * [taylor]: Taking taylor expansion of x in x 1.633 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.633 * [taylor]: Taking taylor expansion of y in x 1.633 * [taylor]: Taking taylor expansion of 0 in y 1.634 * [taylor]: Taking taylor expansion of (- (* 1.0 y) (pow y 2)) in y 1.634 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 1.634 * [taylor]: Taking taylor expansion of 1.0 in y 1.634 * [taylor]: Taking taylor expansion of y in y 1.634 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.634 * [taylor]: Taking taylor expansion of y in y 1.637 * [taylor]: Taking taylor expansion of 0 in y 1.640 * [taylor]: Taking taylor expansion of 0 in y 1.645 * [taylor]: Taking taylor expansion of 0 in y 1.647 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (* x y))) (/ 1 (* x (pow y 2)))) in (x y) around 0 1.647 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (* x y))) (/ 1 (* x (pow y 2)))) in y 1.647 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* x y))) in y 1.647 * [taylor]: Taking taylor expansion of 1.0 in y 1.647 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.647 * [taylor]: Taking taylor expansion of (* x y) in y 1.647 * [taylor]: Taking taylor expansion of x in y 1.647 * [taylor]: Taking taylor expansion of y in y 1.647 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 1.647 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.647 * [taylor]: Taking taylor expansion of x in y 1.647 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.647 * [taylor]: Taking taylor expansion of y in y 1.648 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (* x y))) (/ 1 (* x (pow y 2)))) in x 1.648 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* x y))) in x 1.648 * [taylor]: Taking taylor expansion of 1.0 in x 1.648 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.648 * [taylor]: Taking taylor expansion of (* x y) in x 1.648 * [taylor]: Taking taylor expansion of x in x 1.648 * [taylor]: Taking taylor expansion of y in x 1.648 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.648 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.648 * [taylor]: Taking taylor expansion of x in x 1.648 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.648 * [taylor]: Taking taylor expansion of y in x 1.649 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (* x y))) (/ 1 (* x (pow y 2)))) in x 1.649 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* x y))) in x 1.649 * [taylor]: Taking taylor expansion of 1.0 in x 1.649 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.649 * [taylor]: Taking taylor expansion of (* x y) in x 1.649 * [taylor]: Taking taylor expansion of x in x 1.649 * [taylor]: Taking taylor expansion of y in x 1.649 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.649 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.649 * [taylor]: Taking taylor expansion of x in x 1.649 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.649 * [taylor]: Taking taylor expansion of y in x 1.650 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 y)) (/ 1 (pow y 2))) in y 1.650 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 1.650 * [taylor]: Taking taylor expansion of 1.0 in y 1.650 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.650 * [taylor]: Taking taylor expansion of y in y 1.650 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.650 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.650 * [taylor]: Taking taylor expansion of y in y 1.653 * [taylor]: Taking taylor expansion of 0 in y 1.657 * [taylor]: Taking taylor expansion of 0 in y 1.663 * [taylor]: Taking taylor expansion of 0 in y 1.670 * [taylor]: Taking taylor expansion of 0 in y 1.673 * [approximate]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 (* x y)))) in (x y) around 0 1.673 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 (* x y)))) in y 1.673 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 1.673 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.673 * [taylor]: Taking taylor expansion of x in y 1.673 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.673 * [taylor]: Taking taylor expansion of y in y 1.674 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* x y))) in y 1.674 * [taylor]: Taking taylor expansion of 1.0 in y 1.674 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.674 * [taylor]: Taking taylor expansion of (* x y) in y 1.674 * [taylor]: Taking taylor expansion of x in y 1.674 * [taylor]: Taking taylor expansion of y in y 1.674 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 (* x y)))) in x 1.674 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.674 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.674 * [taylor]: Taking taylor expansion of x in x 1.674 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.674 * [taylor]: Taking taylor expansion of y in x 1.675 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* x y))) in x 1.675 * [taylor]: Taking taylor expansion of 1.0 in x 1.675 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.675 * [taylor]: Taking taylor expansion of (* x y) in x 1.675 * [taylor]: Taking taylor expansion of x in x 1.675 * [taylor]: Taking taylor expansion of y in x 1.675 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 (* x y)))) in x 1.675 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.675 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.675 * [taylor]: Taking taylor expansion of x in x 1.675 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.675 * [taylor]: Taking taylor expansion of y in x 1.676 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* x y))) in x 1.676 * [taylor]: Taking taylor expansion of 1.0 in x 1.676 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.676 * [taylor]: Taking taylor expansion of (* x y) in x 1.676 * [taylor]: Taking taylor expansion of x in x 1.676 * [taylor]: Taking taylor expansion of y in x 1.676 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 y)) (/ 1 (pow y 2))) in y 1.676 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 1.676 * [taylor]: Taking taylor expansion of 1.0 in y 1.676 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.676 * [taylor]: Taking taylor expansion of y in y 1.676 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.676 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.677 * [taylor]: Taking taylor expansion of y in y 1.679 * [taylor]: Taking taylor expansion of 0 in y 1.683 * [taylor]: Taking taylor expansion of 0 in y 1.688 * [taylor]: Taking taylor expansion of 0 in y 1.695 * [taylor]: Taking taylor expansion of 0 in y 1.702 * * * [progress]: simplifying candidates 1.703 * [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) (log (* y (- y)))) (log (* x (* y (- y)))) (exp (* x (* y (- y)))) (* (* (* x x) x) (* (* (* y y) y) (* (* (- y) (- y)) (- y)))) (* (* (* x x) x) (* (* (* y (- y)) (* 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 x) (* y (- y))) (* (sqrt x) (* y (- y))) (* x (* 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 (* 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))) 1.706 * * [simplify]: iteration 0 : 203 enodes (cost 243 ) 1.711 * * [simplify]: iteration 1 : 922 enodes (cost 208 ) 1.741 * * [simplify]: iteration 2 : 5001 enodes (cost 191 ) 1.742 * [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 x) (* y (- y))) (* (sqrt x) (* y (- y))) (* -1 (* x (pow y 2))) (expm1 (+ (* (* x y) 1.0) (* x (* y (- y))))) (log1p (+ (* (* x y) 1.0) (* x (* y (- y))))) (exp (* (* x y) (- 1.0 y))) (+ (log (* x y)) (log (- 1.0 y))) (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))) (* (* x y) (+ (* 1.0 (* (* x y) 1.0)) (* (- y) (* (* x y) (- (- y) 1.0))))) (* (* (* x y) (* x y)) (- (* 1.0 1.0) (pow y 2))) (* (* x 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)) 1.742 * * * [progress]: adding candidates to table 1.819 * [progress]: [Phase 3 of 3] Extracting. 1.819 * * [regime]: Finding splitpoints for: (# # # # #) 1.820 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.820 * * * * [regimes]: Trying to branch on y from (# # # # #) 1.840 * * * * [regimes]: Trying to branch on x from (# # # # #) 1.858 * * * [regime]: Found split indices: #