19.173 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.098 * * * [progress]: [2/2] Setting up program. 0.106 * [progress]: [Phase 2 of 3] Improving. 0.107 * [simplify]: Simplifying using # : (+ (- (- (* x (log y)) y) z) (log t)) 0.109 * * [simplify]: iteration 0 : 20 enodes (cost 6 ) 0.111 * * [simplify]: iteration 1 : 48 enodes (cost 6 ) 0.113 * * [simplify]: iteration 2 : 118 enodes (cost 6 ) 0.116 * * [simplify]: iteration 3 : 247 enodes (cost 6 ) 0.119 * * [simplify]: iteration 4 : 525 enodes (cost 6 ) 0.124 * * [simplify]: iteration 5 : 732 enodes (cost 6 ) 0.129 * * [simplify]: iteration 6 : 937 enodes (cost 6 ) 0.133 * * [simplify]: iteration 7 : 1108 enodes (cost 6 ) 0.138 * * [simplify]: iteration 8 : 1128 enodes (cost 6 ) 0.142 * * [simplify]: iteration 9 : 1128 enodes (cost 6 ) 0.142 * [simplify]: Simplified to: (+ (- (- (* x (log y)) y) z) (log t)) 0.142 * * [progress]: iteration 1 / 4 0.142 * * * [progress]: picking best candidate 0.146 * * * * [pick]: Picked # 0.146 * * * [progress]: localizing error 0.158 * * * [progress]: generating rewritten candidates 0.158 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1 1) 0.162 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.173 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.182 * * * [progress]: generating series expansions 0.182 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1 1) 0.182 * [approximate]: Approximating (* x (log y)) in (x y) around 0 0.183 * [taylor]: Taking taylor expansion of (* x (log y)) in y 0.184 * [taylor]: Taking taylor expansion of (* x (log y)) in y 0.187 * [taylor]: Taking taylor expansion of (* x (log y)) in y 0.191 * [taylor]: Taking taylor expansion of (* x (log y)) in y 0.191 * [approximate]: Approximating (/ (log (/ 1 y)) x) in (x y) around 0 0.193 * [taylor]: Taking taylor expansion of (/ (log (/ 1 y)) x) in y 0.196 * [taylor]: Taking taylor expansion of (/ (log (/ 1 y)) x) in y 0.200 * [taylor]: Taking taylor expansion of (/ (log (/ 1 y)) x) in y 0.205 * [taylor]: Taking taylor expansion of (/ (log (/ 1 y)) x) in y 0.205 * [approximate]: Approximating (* -1 (/ (log (/ -1 y)) x)) in (x y) around 0 0.208 * [taylor]: Taking taylor expansion of (* -1 (/ (log (/ -1 y)) x)) in y 0.212 * [taylor]: Taking taylor expansion of (* -1 (/ (log (/ -1 y)) x)) in y 0.218 * [taylor]: Taking taylor expansion of (* -1 (/ (log (/ -1 y)) x)) in y 0.226 * [taylor]: Taking taylor expansion of (* -1 (/ (log (/ -1 y)) x)) in y 0.227 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.227 * [approximate]: Approximating (- (+ (* x (log y)) (log t)) (+ z y)) in (x y z t) around 0 0.231 * [taylor]: Taking taylor expansion of (- (+ (* x (log y)) (log t)) (+ z y)) in y 0.231 * [taylor]: Taking taylor expansion of (- (+ (* x (log y)) (log t)) (+ z y)) in z 0.232 * [taylor]: Taking taylor expansion of (- (+ (* x (log y)) (log t)) (+ z y)) in t 0.235 * [taylor]: Taking taylor expansion of (- (+ (* x (log y)) (log t)) (+ z y)) in y 0.235 * [taylor]: Taking taylor expansion of (- (+ (* x (log y)) (log t)) (+ z y)) in z 0.235 * [taylor]: Taking taylor expansion of (- (+ (* x (log y)) (log t)) (+ z y)) in t 0.237 * [taylor]: Taking taylor expansion of (- (+ (* x (log y)) (log t)) (+ z y)) in z 0.237 * [taylor]: Taking taylor expansion of (- (+ (* x (log y)) (log t)) (+ z y)) in t 0.238 * [approximate]: Approximating (- (+ (log (/ 1 t)) (/ (log (/ 1 y)) x)) (+ (/ 1 y) (/ 1 z))) in (x y z t) around 0 0.241 * [taylor]: Taking taylor expansion of (- (+ (log (/ 1 t)) (/ (log (/ 1 y)) x)) (+ (/ 1 y) (/ 1 z))) in y 0.243 * [taylor]: Taking taylor expansion of (- (+ (log (/ 1 t)) (/ (log (/ 1 y)) x)) (+ (/ 1 y) (/ 1 z))) in y 0.244 * [taylor]: Taking taylor expansion of (- (+ (log (/ 1 t)) (/ (log (/ 1 y)) x)) (+ (/ 1 y) (/ 1 z))) in z 0.245 * [taylor]: Taking taylor expansion of (- (+ (log (/ 1 t)) (/ (log (/ 1 y)) x)) (+ (/ 1 y) (/ 1 z))) in z 0.249 * [taylor]: Taking taylor expansion of (- (+ (log (/ 1 t)) (/ (log (/ 1 y)) x)) (+ (/ 1 y) (/ 1 z))) in y 0.250 * [taylor]: Taking taylor expansion of (- (+ (log (/ 1 t)) (/ (log (/ 1 y)) x)) (+ (/ 1 y) (/ 1 z))) in z 0.251 * [taylor]: Taking taylor expansion of (- (+ (log (/ 1 t)) (/ (log (/ 1 y)) x)) (+ (/ 1 y) (/ 1 z))) in t 0.252 * [taylor]: Taking taylor expansion of (- (+ (log (/ 1 t)) (/ (log (/ 1 y)) x)) (+ (/ 1 y) (/ 1 z))) in z 0.252 * [taylor]: Taking taylor expansion of (- (+ (log (/ 1 t)) (/ (log (/ 1 y)) x)) (+ (/ 1 y) (/ 1 z))) in t 0.252 * [taylor]: Taking taylor expansion of (- (+ (log (/ 1 t)) (/ (log (/ 1 y)) x)) (+ (/ 1 y) (/ 1 z))) in t 0.253 * [approximate]: Approximating (- (+ (log (/ -1 t)) (+ (/ 1 y) (/ 1 z))) (/ (log (/ -1 y)) x)) in (x y z t) around 0 0.258 * [taylor]: Taking taylor expansion of (- (+ (log (/ -1 t)) (+ (/ 1 y) (/ 1 z))) (/ (log (/ -1 y)) x)) in y 0.260 * [taylor]: Taking taylor expansion of (- (+ (log (/ -1 t)) (+ (/ 1 y) (/ 1 z))) (/ (log (/ -1 y)) x)) in y 0.261 * [taylor]: Taking taylor expansion of (- (+ (log (/ -1 t)) (+ (/ 1 y) (/ 1 z))) (/ (log (/ -1 y)) x)) in z 0.262 * [taylor]: Taking taylor expansion of (- (+ (log (/ -1 t)) (+ (/ 1 y) (/ 1 z))) (/ (log (/ -1 y)) x)) in z 0.267 * [taylor]: Taking taylor expansion of (- (+ (log (/ -1 t)) (+ (/ 1 y) (/ 1 z))) (/ (log (/ -1 y)) x)) in y 0.268 * [taylor]: Taking taylor expansion of (- (+ (log (/ -1 t)) (+ (/ 1 y) (/ 1 z))) (/ (log (/ -1 y)) x)) in z 0.268 * [taylor]: Taking taylor expansion of (- (+ (log (/ -1 t)) (+ (/ 1 y) (/ 1 z))) (/ (log (/ -1 y)) x)) in t 0.270 * [taylor]: Taking taylor expansion of (- (+ (log (/ -1 t)) (+ (/ 1 y) (/ 1 z))) (/ (log (/ -1 y)) x)) in z 0.270 * [taylor]: Taking taylor expansion of (- (+ (log (/ -1 t)) (+ (/ 1 y) (/ 1 z))) (/ (log (/ -1 y)) x)) in t 0.272 * [taylor]: Taking taylor expansion of (- (+ (log (/ -1 t)) (+ (/ 1 y) (/ 1 z))) (/ (log (/ -1 y)) x)) in t 0.275 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.275 * [approximate]: Approximating (- (* x (log y)) (+ z y)) in (x y z) around 0 0.276 * [taylor]: Taking taylor expansion of (- (* x (log y)) (+ z y)) in y 0.276 * [taylor]: Taking taylor expansion of (- (* x (log y)) (+ z y)) in z 0.277 * [taylor]: Taking taylor expansion of (- (* x (log y)) (+ z y)) in y 0.278 * [taylor]: Taking taylor expansion of (- (* x (log y)) (+ z y)) in z 0.279 * [taylor]: Taking taylor expansion of (- (* x (log y)) (+ z y)) in z 0.280 * [approximate]: Approximating (- (/ (log (/ 1 y)) x) (+ (/ 1 z) (/ 1 y))) in (x y z) around 0 0.282 * [taylor]: Taking taylor expansion of (- (/ (log (/ 1 y)) x) (+ (/ 1 z) (/ 1 y))) in y 0.284 * [taylor]: Taking taylor expansion of (- (/ (log (/ 1 y)) x) (+ (/ 1 z) (/ 1 y))) in y 0.285 * [taylor]: Taking taylor expansion of (- (/ (log (/ 1 y)) x) (+ (/ 1 z) (/ 1 y))) in z 0.286 * [taylor]: Taking taylor expansion of (- (/ (log (/ 1 y)) x) (+ (/ 1 z) (/ 1 y))) in z 0.289 * [taylor]: Taking taylor expansion of (- (/ (log (/ 1 y)) x) (+ (/ 1 z) (/ 1 y))) in y 0.290 * [taylor]: Taking taylor expansion of (- (/ (log (/ 1 y)) x) (+ (/ 1 z) (/ 1 y))) in z 0.292 * [taylor]: Taking taylor expansion of (- (/ (log (/ 1 y)) x) (+ (/ 1 z) (/ 1 y))) in z 0.292 * [approximate]: Approximating (- (+ (/ 1 z) (/ 1 y)) (/ (log (/ -1 y)) x)) in (x y z) around 0 0.296 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) (/ 1 y)) (/ (log (/ -1 y)) x)) in y 0.298 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) (/ 1 y)) (/ (log (/ -1 y)) x)) in y 0.299 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) (/ 1 y)) (/ (log (/ -1 y)) x)) in z 0.300 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) (/ 1 y)) (/ (log (/ -1 y)) x)) in z 0.304 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) (/ 1 y)) (/ (log (/ -1 y)) x)) in y 0.307 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) (/ 1 y)) (/ (log (/ -1 y)) x)) in z 0.309 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) (/ 1 y)) (/ (log (/ -1 y)) x)) in z 0.312 * * * [progress]: simplifying candidates 0.313 * [simplify]: Simplifying using # : (* x (log y)) (+ (log x) (log (log y))) (log (* x (log y))) (exp (* x (log y))) (* (* (* x x) x) (* (* (log y) (log y)) (log y))) (* (cbrt (* x (log y))) (cbrt (* x (log y)))) (cbrt (* x (log y))) (* (* (* x (log y)) (* x (log y))) (* x (log y))) (sqrt (* x (log y))) (sqrt (* x (log y))) (* (sqrt x) (sqrt (log y))) (* (sqrt x) (sqrt (log y))) (* x (log (* (cbrt y) (cbrt y)))) (* x (log (cbrt y))) (* x (log (sqrt y))) (* x (log (sqrt y))) (* x (log 1)) (* x (log y)) (* (log (* (cbrt y) (cbrt y))) x) (* (log (cbrt y)) x) (* (log (sqrt y)) x) (* (log (sqrt y)) x) (* (log 1) x) (* (log y) x) (* x 1) (* x (* (cbrt (log y)) (cbrt (log y)))) (* x (sqrt (log y))) (* x 1) (* (cbrt x) (log y)) (* (sqrt x) (log y)) (* x (log y)) (* (/ (/ (exp (* x (log y))) (exp y)) (exp z)) t) (* (/ (exp (- (* x (log y)) y)) (exp z)) t) (* (exp (- (- (* x (log y)) y) z)) t) (log (+ (- (- (* x (log y)) y) z) (log t))) (exp (+ (- (- (* x (log y)) y) z) (log t))) (* (cbrt (+ (- (- (* x (log y)) y) z) (log t))) (cbrt (+ (- (- (* x (log y)) y) z) (log t)))) (cbrt (+ (- (- (* x (log y)) y) z) (log t))) (* (* (+ (- (- (* x (log y)) y) z) (log t)) (+ (- (- (* x (log y)) y) z) (log t))) (+ (- (- (* x (log y)) y) z) (log t))) (sqrt (+ (- (- (* x (log y)) y) z) (log t))) (sqrt (+ (- (- (* x (log y)) y) z) (log t))) (+ (pow (- (- (* x (log y)) y) z) 3) (pow (log t) 3)) (+ (* (- (- (* x (log y)) y) z) (- (- (* x (log y)) y) z)) (- (* (log t) (log t)) (* (- (- (* x (log y)) y) z) (log t)))) (- (* (- (- (* x (log y)) y) z) (- (- (* x (log y)) y) z)) (* (log t) (log t))) (- (- (- (* x (log y)) y) z) (log t)) (+ (- (- (* x (log y)) y) z) (log t)) (+ (- (- (* x (log y)) y) z) (log t)) (+ (- (- (* x (log y)) y) z) (log t)) (+ (- (- (* x (log y)) y) z) (log t)) (+ (- (- (* x (log y)) y) z) (log (* (cbrt t) (cbrt t)))) (+ (- (- (* x (log y)) y) z) (log (sqrt t))) (+ (- (- (* x (log y)) y) z) (log 1)) (+ (neg z) (log t)) (+ (- (neg y) z) (log t)) (+ (- (- (* x (log (cbrt y))) y) z) (log t)) (+ (- (- (* x (log (sqrt y))) y) z) (log t)) (+ (- (- (* x (log y)) y) z) (log t)) (+ (- (- (* (log (cbrt y)) x) y) z) (log t)) (+ (- (- (* (log (sqrt y)) x) y) z) (log t)) (+ (- (- (* (log y) x) y) z) (log t)) (+ (- (neg y) z) (log t)) (+ (neg z) (log t)) (- z (log t)) (/ (/ (exp (* x (log y))) (exp y)) (exp z)) (/ (exp (- (* x (log y)) y)) (exp z)) (log (- (- (* x (log y)) y) z)) (exp (- (- (* x (log y)) y) z)) (* (cbrt (- (- (* x (log y)) y) z)) (cbrt (- (- (* x (log y)) y) z))) (cbrt (- (- (* x (log y)) y) z)) (* (* (- (- (* x (log y)) y) z) (- (- (* x (log y)) y) z)) (- (- (* x (log y)) y) z)) (sqrt (- (- (* x (log y)) y) z)) (sqrt (- (- (* x (log y)) y) z)) (- (pow (- (* x (log y)) y) 3) (pow z 3)) (+ (* (- (* x (log y)) y) (- (* x (log y)) y)) (+ (* z z) (* (- (* x (log y)) y) z))) (neg z) (- (* (- (* x (log y)) y) (- (* x (log y)) y)) (* z z)) (+ (- (* x (log y)) y) z) (+ (sqrt (- (* x (log y)) y)) (sqrt z)) (- (sqrt (- (* x (log y)) y)) (sqrt z)) (- (- (* x (log y)) y) z) (- (neg y) z) (- (- (* x (log (cbrt y))) y) z) (- (- (* x (log (sqrt y))) y) z) (- (- (* x (log y)) y) z) (- (- (* (log (cbrt y)) x) y) z) (- (- (* (log (sqrt y)) x) y) z) (- (- (* (log y) x) y) z) (- (neg y) z) (+ y z) (neg z) (* x (log y)) (* -1 (* x (log (/ 1 y)))) (* (- (log -1) (log (/ -1 y))) x) (- (+ (* x (log y)) (log t)) y) (neg (+ (* x (log (/ 1 y))) (+ z y))) (- (* (log -1) x) (+ z (+ y (* x (log (/ -1 y)))))) (- (* x (log y)) (+ z y)) (neg (+ (* x (log (/ 1 y))) (+ z y))) (- (* (log -1) x) (+ z (+ y (* x (log (/ -1 y)))))) 0.317 * * [simplify]: iteration 0 : 332 enodes (cost 521 ) 0.322 * * [simplify]: iteration 1 : 1115 enodes (cost 483 ) 0.339 * * [simplify]: iteration 2 : 4129 enodes (cost 455 ) 0.399 * * [simplify]: iteration 3 : 5002 enodes (cost 455 ) 0.402 * [simplify]: Simplified to: (* x (log y)) (log (* x (log y))) (log (* x (log y))) (pow y x) (pow (* x (log y)) 3) (* (cbrt (* x (log y))) (cbrt (* x (log y)))) (cbrt (* x (log y))) (pow (* x (log y)) 3) (sqrt (* x (log y))) (sqrt (* x (log y))) (* (sqrt x) (sqrt (log y))) (* (sqrt x) (sqrt (log y))) (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))) (* x (log (sqrt y))) (* x (log (sqrt y))) 0 (* x (log y)) (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))) (* x (log (sqrt y))) (* x (log (sqrt y))) 0 (* x (log y)) x (* x (* (cbrt (log y)) (cbrt (log y)))) (* x (sqrt (log y))) x (* (cbrt x) (log y)) (* (sqrt x) (log y)) (* x (log y)) (/ (* t (pow y x)) (exp (+ y z))) (/ (* t (pow y x)) (exp (+ y z))) (/ (* t (pow y x)) (exp (+ y z))) (log (+ (- (- (* x (log y)) y) z) (log t))) (/ (* t (pow y x)) (exp (+ y z))) (* (cbrt (+ (- (- (* x (log y)) y) z) (log t))) (cbrt (+ (- (- (* x (log y)) y) z) (log t)))) (cbrt (+ (- (- (* x (log y)) y) z) (log t))) (pow (+ (- (- (* (log y) x) y) z) (log t)) 3) (sqrt (+ (- (- (* x (log y)) y) z) (log t))) (sqrt (+ (- (- (* x (log y)) y) z) (log t))) (+ (pow (- (- (* x (log y)) y) z) 3) (pow (log t) 3)) (+ (* (- (- (* (log y) x) y) z) (- (- (- (* x (log y)) y) z) (log t))) (* (log t) (log t))) (- (* (- (- (* x (log y)) y) z) (- (- (* x (log y)) y) z)) (* (log t) (log t))) (- (- (- (* x (log y)) y) z) (log t)) (+ (- (- (* (log y) x) y) z) (log t)) (+ (- (- (* (log y) x) y) z) (log t)) (+ (- (- (* (log y) x) y) z) (log t)) (+ (- (- (* (log y) x) y) z) (log t)) (- (+ (* 2 (log (cbrt t))) (* x (log y))) (+ y z)) (+ (- (- (* x (log y)) y) z) (log (sqrt t))) (- (- (* (log y) x) y) z) (- (log t) z) (- (- (log t) y) z) (+ (- (- (* (log (cbrt y)) x) y) z) (log t)) (+ (- (- (* (log (sqrt y)) x) y) z) (log t)) (+ (- (- (* (log y) x) y) z) (log t)) (+ (- (- (* (log (cbrt y)) x) y) z) (log t)) (+ (- (- (* (log (sqrt y)) x) y) z) (log t)) (+ (- (- (* (log y) x) y) z) (log t)) (- (- (log t) y) z) (- (log t) z) (- z (log t)) (exp (- (- (* x (log y)) y) z)) (exp (- (- (* x (log y)) y) z)) (log (- (- (* x (log y)) y) z)) (exp (- (- (* x (log y)) y) z)) (* (cbrt (- (- (* x (log y)) y) z)) (cbrt (- (- (* x (log y)) y) z))) (cbrt (- (- (* x (log y)) y) z)) (pow (- (- (* x (log y)) y) z) 3) (sqrt (- (- (* x (log y)) y) z)) (sqrt (- (- (* x (log y)) y) z)) (- (pow (- (* x (log y)) y) 3) (pow z 3)) (+ (* (- (* (log y) x) y) (+ (- (* x (log y)) y) z)) (* z z)) (neg z) (- (* (- (* x (log y)) y) (- (* x (log y)) y)) (* z z)) (+ (- (* x (log y)) y) z) (+ (sqrt (- (* x (log y)) y)) (sqrt z)) (- (sqrt (- (* x (log y)) y)) (sqrt z)) (- (- (* (log y) x) y) z) (neg (+ z y)) (- (- (* (log (cbrt y)) x) y) z) (- (- (* (log (sqrt y)) x) y) z) (- (- (* (log y) x) y) z) (- (- (* (log (cbrt y)) x) y) z) (- (- (* (log (sqrt y)) x) y) z) (- (- (* (log y) x) y) z) (neg (+ z y)) (+ y z) (neg z) (* x (log y)) (* x (log y)) (* x (log y)) (- (+ (* x (log y)) (log t)) y) (- (- (* (log y) x) y) z) (- (- (* (log y) x) y) z) (- (- (* (log y) x) y) z) (- (- (* (log y) x) y) z) (- (- (* (log y) x) y) z) 0.403 * * * [progress]: adding candidates to table 0.674 * * [progress]: iteration 2 / 4 0.674 * * * [progress]: picking best candidate 0.699 * * * * [pick]: Picked # 0.699 * * * [progress]: localizing error 0.714 * * * [progress]: generating rewritten candidates 0.714 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 2 2 1) 0.715 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1 2 2 1) 0.716 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.726 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2) 0.735 * * * [progress]: generating series expansions 0.735 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 2 2 1) 0.735 * [approximate]: Approximating (pow y 1/3) in (y) around 0 0.791 * [approximate]: Approximating (pow (/ 1 y) 1/3) in (y) around 0 0.851 * [approximate]: Approximating (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 0.927 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1 2 2 1) 0.927 * [approximate]: Approximating (pow y 1/3) in (y) around 0 0.984 * [approximate]: Approximating (pow (/ 1 y) 1/3) in (y) around 0 1.049 * [approximate]: Approximating (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 1.130 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.130 * [approximate]: Approximating (* 3 (* x (log (pow y 1/3)))) in (x y) around 0 1.132 * [taylor]: Taking taylor expansion of (* 3 (* x (log (pow y 1/3)))) in y 1.134 * [taylor]: Taking taylor expansion of (* 3 (* x (log (pow y 1/3)))) in y 1.141 * [taylor]: Taking taylor expansion of (* 3 (* x (log (pow y 1/3)))) in y 1.152 * [taylor]: Taking taylor expansion of (* 3 (* x (log (pow y 1/3)))) in y 1.153 * [approximate]: Approximating (* 3 (/ (log (pow (/ 1 y) 1/3)) x)) in (x y) around 0 1.154 * [taylor]: Taking taylor expansion of (* 3 (/ (log (pow (/ 1 y) 1/3)) x)) in y 1.159 * [taylor]: Taking taylor expansion of (* 3 (/ (log (pow (/ 1 y) 1/3)) x)) in y 1.169 * [taylor]: Taking taylor expansion of (* 3 (/ (log (pow (/ 1 y) 1/3)) x)) in y 1.184 * [taylor]: Taking taylor expansion of (* 3 (/ (log (pow (/ 1 y) 1/3)) x)) in y 1.185 * [approximate]: Approximating (neg (* 3 (/ (log (* (cbrt -1) (pow (/ 1 y) 1/3))) x))) in (x y) around 0 1.194 * [taylor]: Taking taylor expansion of (neg (* 3 (/ (log (* (cbrt -1) (pow (/ 1 y) 1/3))) x))) in y 1.208 * [taylor]: Taking taylor expansion of (neg (* 3 (/ (log (* (cbrt -1) (pow (/ 1 y) 1/3))) x))) in y 1.223 * [taylor]: Taking taylor expansion of (neg (* 3 (/ (log (* (cbrt -1) (pow (/ 1 y) 1/3))) x))) in y 1.246 * [taylor]: Taking taylor expansion of (neg (* 3 (/ (log (* (cbrt -1) (pow (/ 1 y) 1/3))) x))) in y 1.246 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2) 1.246 * [approximate]: Approximating (* x (log (pow y 1/3))) in (x y) around 0 1.248 * [taylor]: Taking taylor expansion of (* x (log (pow y 1/3))) in y 1.250 * [taylor]: Taking taylor expansion of (* x (log (pow y 1/3))) in y 1.256 * [taylor]: Taking taylor expansion of (* x (log (pow y 1/3))) in y 1.266 * [taylor]: Taking taylor expansion of (* x (log (pow y 1/3))) in y 1.266 * [approximate]: Approximating (/ (log (pow (/ 1 y) 1/3)) x) in (x y) around 0 1.268 * [taylor]: Taking taylor expansion of (/ (log (pow (/ 1 y) 1/3)) x) in y 1.272 * [taylor]: Taking taylor expansion of (/ (log (pow (/ 1 y) 1/3)) x) in y 1.285 * [taylor]: Taking taylor expansion of (/ (log (pow (/ 1 y) 1/3)) x) in y 1.299 * [taylor]: Taking taylor expansion of (/ (log (pow (/ 1 y) 1/3)) x) in y 1.300 * [approximate]: Approximating (* -1 (/ (log (* (cbrt -1) (pow (/ 1 y) 1/3))) x)) in (x y) around 0 1.308 * [taylor]: Taking taylor expansion of (* -1 (/ (log (* (cbrt -1) (pow (/ 1 y) 1/3))) x)) in y 1.317 * [taylor]: Taking taylor expansion of (* -1 (/ (log (* (cbrt -1) (pow (/ 1 y) 1/3))) x)) in y 1.332 * [taylor]: Taking taylor expansion of (* -1 (/ (log (* (cbrt -1) (pow (/ 1 y) 1/3))) x)) in y 1.353 * [taylor]: Taking taylor expansion of (* -1 (/ (log (* (cbrt -1) (pow (/ 1 y) 1/3))) x)) in y 1.354 * * * [progress]: simplifying candidates 1.360 * [simplify]: Simplifying using # : (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)) (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)) (* (exp (* x (* 2 (log (cbrt y))))) (exp (* x (log (cbrt y))))) (log (+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))) (exp (+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))) (* (cbrt (+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))) (cbrt (+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y)))))) (cbrt (+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))) (* (* (+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y)))) (+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))) (+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))) (sqrt (+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))) (sqrt (+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))) (+ (pow (* x (* 2 (log (cbrt y)))) 3) (pow (* x (log (cbrt y))) 3)) (+ (* (* x (* 2 (log (cbrt y)))) (* x (* 2 (log (cbrt y))))) (- (* (* x (log (cbrt y))) (* x (log (cbrt y)))) (* (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y)))))) (- (* (* x (* 2 (log (cbrt y)))) (* x (* 2 (log (cbrt y))))) (* (* x (log (cbrt y))) (* x (log (cbrt y))))) (- (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y)))) (+ (* 2 (log (cbrt y))) (log (cbrt y))) (+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt (* (cbrt y) (cbrt y)))))) (+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt (sqrt y))))) (+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt 1)))) (+ (* x (* 2 (log (cbrt y)))) (* x (log (* (cbrt (cbrt y)) (cbrt (cbrt y)))))) (+ (* x (* 2 (log (cbrt y)))) (* x (log (sqrt (cbrt y))))) (+ (* x (* 2 (log (cbrt y)))) (* x (log 1))) (+ (* x (* 2 (log (cbrt y)))) (* (log (cbrt (* (cbrt y) (cbrt y)))) x)) (+ (* x (* 2 (log (cbrt y)))) (* (log (cbrt (sqrt y))) x)) (+ (* x (* 2 (log (cbrt y)))) (* (log (cbrt 1)) x)) (+ (* x (* 2 (log (cbrt y)))) (* (log (* (cbrt (cbrt y)) (cbrt (cbrt y)))) x)) (+ (* x (* 2 (log (cbrt y)))) (* (log (sqrt (cbrt y))) x)) (+ (* x (* 2 (log (cbrt y)))) (* (log 1) x)) (+ (* x (* 2 (log (cbrt (cbrt y))))) (* x (log (cbrt y)))) (+ (* x (* 2 (log (cbrt (sqrt y))))) (* x (log (cbrt y)))) (+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y)))) (+ (* x (* 2 (log (cbrt (cbrt y))))) (* x (log (cbrt y)))) (+ (* x (* 2 (log (sqrt (cbrt y))))) (* x (log (cbrt y)))) (+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y)))) (+ (* x (* (log (cbrt (cbrt y))) 2)) (* x (log (cbrt y)))) (+ (* x (* (log (cbrt (sqrt y))) 2)) (* x (log (cbrt y)))) (+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y)))) (+ (* x (* (log (cbrt (cbrt y))) 2)) (* x (log (cbrt y)))) (+ (* x (* (log (sqrt (cbrt y))) 2)) (* x (log (cbrt y)))) (+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y)))) (+ (* (* 2 (log (cbrt (cbrt y)))) x) (* x (log (cbrt y)))) (+ (* (* 2 (log (cbrt (sqrt y)))) x) (* x (log (cbrt y)))) (+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y)))) (+ (* (* 2 (log (cbrt (cbrt y)))) x) (* x (log (cbrt y)))) (+ (* (* 2 (log (sqrt (cbrt y)))) x) (* x (log (cbrt y)))) (+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y)))) (+ (* (* (log (cbrt (cbrt y))) 2) x) (* x (log (cbrt y)))) (+ (* (* (log (cbrt (sqrt y))) 2) x) (* x (log (cbrt y)))) (+ (* (* (log (cbrt y)) 2) x) (* x (log (cbrt y)))) (+ (* (* (log (cbrt (cbrt y))) 2) x) (* x (log (cbrt y)))) (+ (* (* (log (sqrt (cbrt y))) 2) x) (* x (log (cbrt y)))) (+ (* (* (log (cbrt y)) 2) x) (* x (log (cbrt y)))) (* x (log (cbrt y))) (+ (log x) (log (log (cbrt y)))) (log (* x (log (cbrt y)))) (exp (* x (log (cbrt y)))) (* (* (* x x) x) (* (* (log (cbrt y)) (log (cbrt y))) (log (cbrt y)))) (* (cbrt (* x (log (cbrt y)))) (cbrt (* x (log (cbrt y))))) (cbrt (* x (log (cbrt y)))) (* (* (* x (log (cbrt y))) (* x (log (cbrt y)))) (* x (log (cbrt y)))) (sqrt (* x (log (cbrt y)))) (sqrt (* x (log (cbrt y)))) (* (sqrt x) (sqrt (log (cbrt y)))) (* (sqrt x) (sqrt (log (cbrt y)))) (* x (log (cbrt (* (cbrt y) (cbrt y))))) (* x (log (cbrt (cbrt y)))) (* x (log (cbrt (sqrt y)))) (* x (log (cbrt (sqrt y)))) (* x (log (cbrt 1))) (* x (log (cbrt y))) (* x (log (* (cbrt (cbrt y)) (cbrt (cbrt y))))) (* x (log (cbrt (cbrt y)))) (* x (log (sqrt (cbrt y)))) (* x (log (sqrt (cbrt y)))) (* x (log 1)) (* x (log (cbrt y))) (* (log (cbrt (* (cbrt y) (cbrt y)))) x) (* (log (cbrt (cbrt y))) x) (* (log (cbrt (sqrt y))) x) (* (log (cbrt (sqrt y))) x) (* (log (cbrt 1)) x) (* (log (cbrt y)) x) (* (log (* (cbrt (cbrt y)) (cbrt (cbrt y)))) x) (* (log (cbrt (cbrt y))) x) (* (log (sqrt (cbrt y))) x) (* (log (sqrt (cbrt y))) x) (* (log 1) x) (* (log (cbrt y)) x) (* x 1/3) (* x 1) (* x (* (cbrt (log (cbrt y))) (cbrt (log (cbrt y))))) (* x (sqrt (log (cbrt y)))) (* x 1) (* (cbrt x) (log (cbrt y))) (* (sqrt x) (log (cbrt y))) (* x (log (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)) (* 3 (* x (log (pow y 1/3)))) (* 3 (* x (log (pow (/ 1 y) -1/3)))) (* 3 (* x (log (* (pow (* -1 y) 1/3) (cbrt -1))))) (* x (log (pow y 1/3))) (* x (log (pow (/ 1 y) -1/3))) (* x (log (* (pow (* -1 y) 1/3) (cbrt -1)))) 1.366 * * [simplify]: iteration 0 : 345 enodes (cost 729 ) 1.373 * * [simplify]: iteration 1 : 1431 enodes (cost 634 ) 1.407 * * [simplify]: iteration 2 : 5001 enodes (cost 547 ) 1.410 * [simplify]: Simplified to: (* (log y) 1/3) (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)) (* (log y) 1/3) (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)) (pow (pow y 1/3) (* 3 x)) (log (* (log y) x)) (pow (pow y 1/3) (* 3 x)) (* (cbrt (+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))) (cbrt (+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y)))))) (cbrt (+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))) (pow (* (log y) x) 3) (sqrt (+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))) (sqrt (+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))) (* 9 (pow (* x (log (cbrt y))) 3)) (* (* (* x (log (cbrt y))) x) (log y)) (* (* (* x (log (cbrt y))) x) (log y)) (* x (log (pow y 1/3))) (log y) (* x (+ (* 2/3 (log y)) (log (cbrt (* (cbrt y) (cbrt y)))))) (* x (+ (* 2/3 (log y)) (log (cbrt (sqrt y))))) (* 2/3 (* (log y) x)) (* (* 2 x) (+ (log (pow y 1/3)) (log (cbrt (cbrt y))))) (* x (+ (* 2/3 (log y)) (log (sqrt (cbrt y))))) (* 2/3 (* (log y) x)) (* x (+ (* 2/3 (log y)) (log (cbrt (* (cbrt y) (cbrt y)))))) (* x (+ (* 2/3 (log y)) (log (cbrt (sqrt y))))) (* 2/3 (* (log y) x)) (* (* 2 x) (+ (log (pow y 1/3)) (log (cbrt (cbrt y))))) (* x (+ (* 2/3 (log y)) (log (sqrt (cbrt y))))) (* 2/3 (* (log y) x)) (* x (+ (* (log (cbrt (cbrt y))) 2) (log (cbrt y)))) (* x (+ (* (log (cbrt (sqrt y))) 2) (log (cbrt y)))) (* x (log y)) (* x (+ (* (log (cbrt (cbrt y))) 2) (log (cbrt y)))) (* x (+ (* (log (sqrt (cbrt y))) 2) (log (cbrt y)))) (* x (log y)) (* x (+ (* (log (cbrt (cbrt y))) 2) (log (cbrt y)))) (* x (+ (* (log (cbrt (sqrt y))) 2) (log (cbrt y)))) (* x (log y)) (* x (+ (* (log (cbrt (cbrt y))) 2) (log (cbrt y)))) (* x (+ (* (log (sqrt (cbrt y))) 2) (log (cbrt y)))) (* x (log y)) (* x (+ (* (log (cbrt (cbrt y))) 2) (log (cbrt y)))) (* x (+ (* (log (cbrt (sqrt y))) 2) (log (cbrt y)))) (* x (log y)) (* x (+ (* (log (cbrt (cbrt y))) 2) (log (cbrt y)))) (* x (+ (* (log (sqrt (cbrt y))) 2) (log (cbrt y)))) (* x (log y)) (* x (+ (* (log (cbrt (cbrt y))) 2) (log (cbrt y)))) (* x (+ (* (log (cbrt (sqrt y))) 2) (log (cbrt y)))) (* x (log y)) (* x (+ (* (log (cbrt (cbrt y))) 2) (log (cbrt y)))) (* x (+ (* (log (sqrt (cbrt y))) 2) (log (cbrt y)))) (* x (log y)) (* x (log (pow y 1/3))) (log (* x (log (cbrt y)))) (log (* x (log (cbrt y)))) (pow (pow y 1/3) x) (pow (* x (log (cbrt y))) 3) (* (cbrt (* x (log (cbrt y)))) (cbrt (* x (log (cbrt y))))) (cbrt (* x (log (cbrt y)))) (pow (* x (log (cbrt y))) 3) (sqrt (* x (log (cbrt y)))) (sqrt (* x (log (cbrt y)))) (* (sqrt x) (sqrt (log (cbrt y)))) (* (sqrt x) (sqrt (log (cbrt y)))) (* x (log (cbrt (* (cbrt y) (cbrt y))))) (* x (log (cbrt (cbrt y)))) (* x (log (cbrt (sqrt y)))) (* x (log (cbrt (sqrt y)))) 0 (* x (log (pow y 1/3))) (* x (* (log (cbrt (cbrt y))) 2)) (* x (log (cbrt (cbrt y)))) (* x (log (sqrt (cbrt y)))) (* x (log (sqrt (cbrt y)))) 0 (* x (log (pow y 1/3))) (* x (log (cbrt (* (cbrt y) (cbrt y))))) (* x (log (cbrt (cbrt y)))) (* x (log (cbrt (sqrt y)))) (* x (log (cbrt (sqrt y)))) 0 (* x (log (pow y 1/3))) (* x (* (log (cbrt (cbrt y))) 2)) (* x (log (cbrt (cbrt y)))) (* x (log (sqrt (cbrt y)))) (* x (log (sqrt (cbrt y)))) 0 (* x (log (pow y 1/3))) (* x 1/3) x (* x (* (cbrt (log (cbrt y))) (cbrt (log (cbrt y))))) (* x (sqrt (log (cbrt y)))) x (* (cbrt x) (log (cbrt y))) (* (sqrt x) (log (cbrt y))) (* x (log (pow y 1/3))) (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)) (* x (log y)) (* -1 (* (log (/ 1 y)) x)) (* 3 (* x (log (* (pow (* -1 y) 1/3) (cbrt -1))))) (* x (log (pow y 1/3))) (* x (log (pow (/ 1 y) -1/3))) (* x (log (* (pow (* -1 y) 1/3) (cbrt -1)))) 1.411 * * * [progress]: adding candidates to table 2.587 * * [progress]: iteration 3 / 4 2.587 * * * [progress]: picking best candidate 2.614 * * * * [pick]: Picked # 2.614 * * * [progress]: localizing error 2.638 * * * [progress]: generating rewritten candidates 2.639 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1 2 1 1) 2.641 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2 2 1) 2.642 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 2 2 1) 2.644 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2 2 1 1) 2.646 * * * [progress]: generating series expansions 2.646 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1 2 1 1) 2.646 * [approximate]: Approximating (pow y 1/3) in (y) around 0 2.703 * [approximate]: Approximating (pow (/ 1 y) 1/3) in (y) around 0 2.764 * [approximate]: Approximating (pow (/ -1 y) 1/3) in (y) around 0 2.835 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2 2 1) 2.835 * [approximate]: Approximating (pow y 1/9) in (y) around 0 2.893 * [approximate]: Approximating (pow (/ 1 y) 1/9) in (y) around 0 2.955 * [approximate]: Approximating (* (pow (cbrt -1) 1/3) (pow (/ 1 y) 1/9)) in (y) around 0 3.101 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 2 2 1) 3.101 * [approximate]: Approximating (pow y 1/9) in (y) around 0 3.155 * [approximate]: Approximating (pow (/ 1 y) 1/9) in (y) around 0 3.217 * [approximate]: Approximating (* (pow (cbrt -1) 1/3) (pow (/ 1 y) 1/9)) in (y) around 0 3.363 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2 2 1 1) 3.364 * [approximate]: Approximating (pow y 1/3) in (y) around 0 3.423 * [approximate]: Approximating (pow (/ 1 y) 1/3) in (y) around 0 3.490 * [approximate]: Approximating (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 3.572 * * * [progress]: simplifying candidates 3.573 * [simplify]: Simplifying using # : (* (log y) 1/3) (* (log y) 1/3) (* 1 1/3) (pow y (* (cbrt 1/3) (cbrt 1/3))) (pow y (sqrt 1/3)) (pow y 1) (pow (* (cbrt y) (cbrt y)) 1/3) (pow (cbrt y) 1/3) (pow (sqrt y) 1/3) (pow (sqrt y) 1/3) (pow 1 1/3) (pow y 1/3) (log (pow y 1/3)) (exp (pow y 1/3)) (* (cbrt (pow y 1/3)) (cbrt (pow y 1/3))) (cbrt (pow y 1/3)) (* (* (pow y 1/3) (pow y 1/3)) (pow y 1/3)) (sqrt (pow y 1/3)) (sqrt (pow y 1/3)) (pow y (/ 1/3 2)) (pow y (/ 1/3 2)) (log (cbrt (cbrt y))) (exp (cbrt (cbrt y))) (cbrt (cbrt (* (cbrt y) (cbrt y)))) (cbrt (cbrt (cbrt y))) (cbrt (cbrt (sqrt y))) (cbrt (cbrt (sqrt y))) (cbrt (cbrt 1)) (cbrt (cbrt y)) (cbrt (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (cbrt (cbrt (cbrt y))) (cbrt (sqrt (cbrt y))) (cbrt (sqrt (cbrt y))) (cbrt 1) (cbrt (cbrt y)) (* (cbrt (cbrt (cbrt y))) (cbrt (cbrt (cbrt y)))) (cbrt (cbrt (cbrt y))) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))) (sqrt (cbrt (cbrt y))) (sqrt (cbrt (cbrt y))) (log (cbrt (cbrt y))) (exp (cbrt (cbrt y))) (cbrt (cbrt (* (cbrt y) (cbrt y)))) (cbrt (cbrt (cbrt y))) (cbrt (cbrt (sqrt y))) (cbrt (cbrt (sqrt y))) (cbrt (cbrt 1)) (cbrt (cbrt y)) (cbrt (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (cbrt (cbrt (cbrt y))) (cbrt (sqrt (cbrt y))) (cbrt (sqrt (cbrt y))) (cbrt 1) (cbrt (cbrt y)) (* (cbrt (cbrt (cbrt y))) (cbrt (cbrt (cbrt y)))) (cbrt (cbrt (cbrt y))) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))) (sqrt (cbrt (cbrt y))) (sqrt (cbrt (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) (exp (* 1/3 (- (log -1) (log (/ -1 y))))) (pow y 1/9) (pow (/ 1 y) -1/9) (* (pow (* -1 y) 1/9) (pow (cbrt -1) 1/3)) (pow y 1/9) (pow (/ 1 y) -1/9) (* (pow (* -1 y) 1/9) (pow (cbrt -1) 1/3)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) 3.576 * * [simplify]: iteration 0 : 128 enodes (cost 228 ) 3.578 * * [simplify]: iteration 1 : 366 enodes (cost 206 ) 3.585 * * [simplify]: iteration 2 : 1321 enodes (cost 196 ) 3.616 * * [simplify]: iteration 3 : 5001 enodes (cost 191 ) 3.618 * [simplify]: Simplified to: (log (pow y 1/3)) (log (pow y 1/3)) 1/3 (pow y (* (cbrt 1/3) (cbrt 1/3))) (pow y (sqrt 1/3)) y (cbrt (pow y 2/3)) (pow (cbrt y) 1/3) (pow (sqrt y) 1/3) (pow (sqrt y) 1/3) 1 (pow y 1/3) (log (pow y 1/3)) (exp (cbrt y)) (pow (pow y 1/3) 2/3) (pow (cbrt y) 1/3) y (sqrt (cbrt y)) (sqrt (cbrt y)) (pow y 1/6) (pow y 1/6) (* 1/9 (log y)) (exp (cbrt (cbrt y))) (cbrt (cbrt (* (cbrt y) (cbrt y)))) (cbrt (cbrt (cbrt y))) (cbrt (cbrt (sqrt y))) (cbrt (cbrt (sqrt y))) 1 (pow (cbrt y) 1/3) (cbrt (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (cbrt (cbrt (cbrt y))) (cbrt (sqrt (cbrt y))) (cbrt (sqrt (cbrt y))) 1 (pow (cbrt y) 1/3) (* (cbrt (cbrt (cbrt y))) (cbrt (cbrt (cbrt y)))) (cbrt (cbrt (cbrt y))) (pow y 1/3) (sqrt (cbrt (cbrt y))) (sqrt (cbrt (cbrt y))) (* 1/9 (log y)) (exp (cbrt (cbrt y))) (cbrt (cbrt (* (cbrt y) (cbrt y)))) (cbrt (cbrt (cbrt y))) (cbrt (cbrt (sqrt y))) (cbrt (cbrt (sqrt y))) 1 (pow (cbrt y) 1/3) (cbrt (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (cbrt (cbrt (cbrt y))) (cbrt (sqrt (cbrt y))) (cbrt (sqrt (cbrt y))) 1 (pow (cbrt y) 1/3) (* (cbrt (cbrt (cbrt y))) (cbrt (cbrt (cbrt y)))) (cbrt (cbrt (cbrt y))) (pow y 1/3) (sqrt (cbrt (cbrt y))) (sqrt (cbrt (cbrt y))) (log (pow y 1/3)) (exp (cbrt y)) (cbrt (pow y 2/3)) (pow (cbrt y) 1/3) (pow (sqrt y) 1/3) (pow (sqrt y) 1/3) 1 (pow y 1/3) (pow (pow y 1/3) 2/3) (pow (cbrt y) 1/3) y (sqrt (cbrt y)) (sqrt (cbrt y)) (pow y 1/3) (pow (/ 1 y) -1/3) (pow y 1/3) (pow y 1/9) (pow (/ 1 y) -1/9) (* (pow (* -1 y) 1/9) (pow (cbrt -1) 1/3)) (pow y 1/9) (pow (/ 1 y) -1/9) (* (pow (* -1 y) 1/9) (pow (cbrt -1) 1/3)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) 3.619 * * * [progress]: adding candidates to table 4.325 * * [progress]: iteration 4 / 4 4.325 * * * [progress]: picking best candidate 4.346 * * * * [pick]: Picked # 4.346 * * * [progress]: localizing error 4.359 * * * [progress]: generating rewritten candidates 4.359 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 2) 4.362 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1 2) 4.364 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1) 4.366 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 4.372 * * * [progress]: generating series expansions 4.372 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 2) 4.372 * [approximate]: Approximating (pow (* x (log y)) 1/3) in (x y) around 0 4.376 * [taylor]: Taking taylor expansion of (pow (* x (log y)) 1/3) in y 4.383 * [taylor]: Taking taylor expansion of (pow (* x (log y)) 1/3) in y 4.399 * [taylor]: Taking taylor expansion of (pow (* x (log y)) 1/3) in y 4.429 * [taylor]: Taking taylor expansion of (pow (* x (log y)) 1/3) in y 4.430 * [approximate]: Approximating (pow (/ (log (/ 1 y)) x) 1/3) in (x y) around 0 4.435 * [taylor]: Taking taylor expansion of (pow (/ (log (/ 1 y)) x) 1/3) in y 4.443 * [taylor]: Taking taylor expansion of (pow (/ (log (/ 1 y)) x) 1/3) in y 4.455 * [taylor]: Taking taylor expansion of (pow (/ (log (/ 1 y)) x) 1/3) in y 4.471 * [taylor]: Taking taylor expansion of (pow (/ (log (/ 1 y)) x) 1/3) in y 4.471 * [approximate]: Approximating (* (cbrt -1) (pow (/ (log (/ -1 y)) x) 1/3)) in (x y) around 0 4.479 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (log (/ -1 y)) x) 1/3)) in y 4.489 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (log (/ -1 y)) x) 1/3)) in y 4.503 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (log (/ -1 y)) x) 1/3)) in y 4.529 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (log (/ -1 y)) x) 1/3)) in y 4.530 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1 2) 4.530 * [approximate]: Approximating (pow (* x (log y)) 1/3) in (x y) around 0 4.534 * [taylor]: Taking taylor expansion of (pow (* x (log y)) 1/3) in y 4.539 * [taylor]: Taking taylor expansion of (pow (* x (log y)) 1/3) in y 4.549 * [taylor]: Taking taylor expansion of (pow (* x (log y)) 1/3) in y 4.564 * [taylor]: Taking taylor expansion of (pow (* x (log y)) 1/3) in y 4.565 * [approximate]: Approximating (pow (/ (log (/ 1 y)) x) 1/3) in (x y) around 0 4.567 * [taylor]: Taking taylor expansion of (pow (/ (log (/ 1 y)) x) 1/3) in y 4.573 * [taylor]: Taking taylor expansion of (pow (/ (log (/ 1 y)) x) 1/3) in y 4.583 * [taylor]: Taking taylor expansion of (pow (/ (log (/ 1 y)) x) 1/3) in y 4.603 * [taylor]: Taking taylor expansion of (pow (/ (log (/ 1 y)) x) 1/3) in y 4.604 * [approximate]: Approximating (* (cbrt -1) (pow (/ (log (/ -1 y)) x) 1/3)) in (x y) around 0 4.611 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (log (/ -1 y)) x) 1/3)) in y 4.621 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (log (/ -1 y)) x) 1/3)) in y 4.635 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (log (/ -1 y)) x) 1/3)) in y 4.657 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (log (/ -1 y)) x) 1/3)) in y 4.658 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1) 4.658 * [approximate]: Approximating (pow (* x (log y)) 1/3) in (x y) around 0 4.662 * [taylor]: Taking taylor expansion of (pow (* x (log y)) 1/3) in y 4.671 * [taylor]: Taking taylor expansion of (pow (* x (log y)) 1/3) in y 4.681 * [taylor]: Taking taylor expansion of (pow (* x (log y)) 1/3) in y 4.697 * [taylor]: Taking taylor expansion of (pow (* x (log y)) 1/3) in y 4.697 * [approximate]: Approximating (pow (/ (log (/ 1 y)) x) 1/3) in (x y) around 0 4.700 * [taylor]: Taking taylor expansion of (pow (/ (log (/ 1 y)) x) 1/3) in y 4.705 * [taylor]: Taking taylor expansion of (pow (/ (log (/ 1 y)) x) 1/3) in y 4.715 * [taylor]: Taking taylor expansion of (pow (/ (log (/ 1 y)) x) 1/3) in y 4.731 * [taylor]: Taking taylor expansion of (pow (/ (log (/ 1 y)) x) 1/3) in y 4.731 * [approximate]: Approximating (* (cbrt -1) (pow (/ (log (/ -1 y)) x) 1/3)) in (x y) around 0 4.739 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (log (/ -1 y)) x) 1/3)) in y 4.754 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (log (/ -1 y)) x) 1/3)) in y 4.768 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (log (/ -1 y)) x) 1/3)) in y 4.790 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (log (/ -1 y)) x) 1/3)) in y 4.791 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 4.791 * [approximate]: Approximating (pow (* (pow x 2) (pow (log y) 2)) 1/3) in (x y) around 0 4.795 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) (pow (log y) 2)) 1/3) in y 4.801 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) (pow (log y) 2)) 1/3) in y 4.811 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) (pow (log y) 2)) 1/3) in y 4.833 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) (pow (log y) 2)) 1/3) in y 4.834 * [approximate]: Approximating (pow (/ (pow (log (/ 1 y)) 2) (pow x 2)) 1/3) in (x y) around 0 4.838 * [taylor]: Taking taylor expansion of (pow (/ (pow (log (/ 1 y)) 2) (pow x 2)) 1/3) in y 4.845 * [taylor]: Taking taylor expansion of (pow (/ (pow (log (/ 1 y)) 2) (pow x 2)) 1/3) in y 4.857 * [taylor]: Taking taylor expansion of (pow (/ (pow (log (/ 1 y)) 2) (pow x 2)) 1/3) in y 4.875 * [taylor]: Taking taylor expansion of (pow (/ (pow (log (/ 1 y)) 2) (pow x 2)) 1/3) in y 4.876 * [approximate]: Approximating (* (pow (cbrt -1) 2) (pow (/ (pow (log (/ -1 y)) 2) (pow x 2)) 1/3)) in (x y) around 0 4.888 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (log (/ -1 y)) 2) (pow x 2)) 1/3)) in y 4.903 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (log (/ -1 y)) 2) (pow x 2)) 1/3)) in y 4.927 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (log (/ -1 y)) 2) (pow x 2)) 1/3)) in y 4.954 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (log (/ -1 y)) 2) (pow x 2)) 1/3)) in y 4.956 * * * [progress]: simplifying candidates 4.957 * [simplify]: Simplifying using # : (log (cbrt (* x (log y)))) (exp (cbrt (* x (log y)))) (cbrt x) (cbrt (log y)) (* (cbrt (cbrt (* x (log y)))) (cbrt (cbrt (* x (log y))))) (cbrt (cbrt (* x (log y)))) (* (* (cbrt (* x (log y))) (cbrt (* x (log y)))) (cbrt (* x (log y)))) (sqrt (cbrt (* x (log y)))) (sqrt (cbrt (* x (log y)))) (log (cbrt (* x (log y)))) (exp (cbrt (* x (log y)))) (cbrt x) (cbrt (log y)) (* (cbrt (cbrt (* x (log y)))) (cbrt (cbrt (* x (log y))))) (cbrt (cbrt (* x (log y)))) (* (* (cbrt (* x (log y))) (cbrt (* x (log y)))) (cbrt (* x (log y)))) (sqrt (cbrt (* x (log y)))) (sqrt (cbrt (* x (log y)))) (log (cbrt (* x (log y)))) (exp (cbrt (* x (log y)))) (cbrt x) (cbrt (log y)) (* (cbrt (cbrt (* x (log y)))) (cbrt (cbrt (* x (log y))))) (cbrt (cbrt (* x (log y)))) (* (* (cbrt (* x (log y))) (cbrt (* x (log y)))) (cbrt (* x (log y)))) (sqrt (cbrt (* x (log y)))) (sqrt (cbrt (* x (log y)))) (+ 1/3 1/3) (+ 1 1) (* (* x (log y)) (* x (log y))) (* (cbrt (* x (log y))) (cbrt (* x (log y)))) (+ 1 1) (+ (log (cbrt (* x (log y)))) (log (cbrt (* x (log y))))) (log (* (cbrt (* x (log y))) (cbrt (* x (log y))))) (exp (* (cbrt (* x (log y))) (cbrt (* x (log y))))) (* (* x (log y)) (* x (log y))) (* (cbrt (* (cbrt (* x (log y))) (cbrt (* x (log y))))) (cbrt (* (cbrt (* x (log y))) (cbrt (* x (log y)))))) (cbrt (* (cbrt (* x (log y))) (cbrt (* x (log y))))) (* (* (* (cbrt (* x (log y))) (cbrt (* x (log y)))) (* (cbrt (* x (log y))) (cbrt (* x (log y))))) (* (cbrt (* x (log y))) (cbrt (* x (log y))))) (sqrt (* (cbrt (* x (log y))) (cbrt (* x (log y))))) (sqrt (* (cbrt (* x (log y))) (cbrt (* x (log y))))) (* (cbrt x) (cbrt x)) (* (cbrt (log y)) (cbrt (log y))) (* (* (cbrt (cbrt (* x (log y)))) (cbrt (cbrt (* x (log y))))) (* (cbrt (cbrt (* x (log y)))) (cbrt (cbrt (* x (log y)))))) (* (cbrt (cbrt (* x (log y)))) (cbrt (cbrt (* x (log y))))) (* (sqrt (cbrt (* x (log y)))) (sqrt (cbrt (* x (log y))))) (* (sqrt (cbrt (* x (log y)))) (sqrt (cbrt (* x (log y))))) (* 1 1) (* (cbrt (* x (log y))) (cbrt (* x (log y)))) (* (sqrt (cbrt (* x (log y)))) (sqrt (cbrt (* x (log y))))) (* (sqrt (cbrt (* x (log y)))) (sqrt (cbrt (* x (log y))))) (* 2 1/3) (* 2 1) (* (cbrt (* x (log y))) (cbrt x)) (* (cbrt (* x (log y))) (* (cbrt (cbrt (* x (log y)))) (cbrt (cbrt (* x (log y)))))) (* (cbrt (* x (log y))) (sqrt (cbrt (* x (log y))))) (* (cbrt (* x (log y))) 1) (* (cbrt (log y)) (cbrt (* x (log y)))) (* (cbrt (cbrt (* x (log y)))) (cbrt (* x (log y)))) (* (sqrt (cbrt (* x (log y)))) (cbrt (* x (log y)))) (* (cbrt (* x (log y))) (cbrt (* x (log y)))) (exp (* 1/3 (+ (log (log y)) (log x)))) (exp (* 1/3 (- (log (neg (log (/ 1 y)))) (log (/ 1 x))))) (* (cbrt -1) (exp (* 1/3 (- (log (- (log -1) (log (/ -1 y)))) (log (/ -1 x)))))) (exp (* 1/3 (+ (log (log y)) (log x)))) (exp (* 1/3 (- (log (neg (log (/ 1 y)))) (log (/ 1 x))))) (* (cbrt -1) (exp (* 1/3 (- (log (- (log -1) (log (/ -1 y)))) (log (/ -1 x)))))) (exp (* 1/3 (+ (log (log y)) (log x)))) (exp (* 1/3 (- (log (neg (log (/ 1 y)))) (log (/ 1 x))))) (* (cbrt -1) (exp (* 1/3 (- (log (- (log -1) (log (/ -1 y)))) (log (/ -1 x)))))) (exp (* 1/3 (+ (* 2 (log x)) (log (pow (log y) 2))))) (exp (* 1/3 (- (log (pow (log (/ 1 y)) 2)) (* 2 (log (/ 1 x)))))) (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log (pow (- (log -1) (log (/ -1 y))) 2)) (* 2 (log (/ -1 x))))))) 4.960 * * [simplify]: iteration 0 : 188 enodes (cost 445 ) 4.964 * * [simplify]: iteration 1 : 594 enodes (cost 383 ) 4.976 * * [simplify]: iteration 2 : 2797 enodes (cost 337 ) 5.029 * * [simplify]: iteration 3 : 5002 enodes (cost 321 ) 5.031 * [simplify]: Simplified to: (log (cbrt (* x (log y)))) (exp (cbrt (* x (log y)))) (cbrt x) (cbrt (log y)) (* (cbrt (cbrt (* x (log y)))) (cbrt (cbrt (* x (log y))))) (cbrt (cbrt (* x (log y)))) (* x (log y)) (sqrt (cbrt (* x (log y)))) (sqrt (cbrt (* x (log y)))) (log (cbrt (* x (log y)))) (exp (cbrt (* x (log y)))) (cbrt x) (cbrt (log y)) (* (cbrt (cbrt (* x (log y)))) (cbrt (cbrt (* x (log y))))) (cbrt (cbrt (* x (log y)))) (* x (log y)) (sqrt (cbrt (* x (log y)))) (sqrt (cbrt (* x (log y)))) (log (cbrt (* x (log y)))) (exp (cbrt (* x (log y)))) (cbrt x) (cbrt (log y)) (* (cbrt (cbrt (* x (log y)))) (cbrt (cbrt (* x (log y))))) (cbrt (cbrt (* x (log y)))) (* x (log y)) (sqrt (cbrt (* x (log y)))) (sqrt (cbrt (* x (log y)))) 2/3 2 (* (* x x) (pow (log y) 2)) (pow (sqrt (cbrt (* x (log y)))) 4) 2 (* 2 (log (cbrt (* x (log y))))) (* 2 (log (cbrt (* x (log y))))) (pow (exp 1) (pow (sqrt (cbrt (* x (log y)))) 4)) (* (* x x) (pow (log y) 2)) (* (cbrt (* (cbrt (* x (log y))) (cbrt (* x (log y))))) (cbrt (* (cbrt (* x (log y))) (cbrt (* x (log y)))))) (cbrt (* (cbrt (* x (log y))) (cbrt (* x (log y))))) (* (* x x) (pow (log y) 2)) (fabs (cbrt (* x (log y)))) (fabs (cbrt (* x (log y)))) (pow x 2/3) (pow (log y) 2/3) (pow (cbrt (cbrt (* x (log y)))) 4) (* (cbrt (cbrt (* x (log y)))) (cbrt (cbrt (* x (log y))))) (cbrt (* x (log y))) (cbrt (* x (log y))) 1 (pow (sqrt (cbrt (* x (log y)))) 4) (cbrt (* x (log y))) (cbrt (* x (log y))) 2/3 2 (* (cbrt (* x (log y))) (cbrt x)) (pow (cbrt (cbrt (* x (log y)))) 5) (pow (sqrt (cbrt (* x (log y)))) 3) (cbrt (* x (log y))) (* (cbrt (log y)) (cbrt (* x (log y)))) (pow (cbrt (cbrt (* x (log y)))) 4) (pow (sqrt (cbrt (* x (log y)))) 3) (pow (sqrt (cbrt (* x (log y)))) 4) (cbrt (* x (log y))) (cbrt (* x (log y))) (* (cbrt -1) (exp (* 1/3 (- (log (- (log -1) (log (/ -1 y)))) (log (/ -1 x)))))) (cbrt (* x (log y))) (cbrt (* x (log y))) (* (cbrt -1) (exp (* 1/3 (- (log (- (log -1) (log (/ -1 y)))) (log (/ -1 x)))))) (cbrt (* x (log y))) (cbrt (* x (log y))) (* (cbrt -1) (exp (* 1/3 (- (log (- (log -1) (log (/ -1 y)))) (log (/ -1 x)))))) (pow (sqrt (cbrt (* x (log y)))) 4) (pow (sqrt (cbrt (* x (log y)))) 4) (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log (pow (- (log -1) (log (/ -1 y))) 2)) (* 2 (log (/ -1 x))))))) 5.032 * * * [progress]: adding candidates to table 5.410 * [progress]: [Phase 3 of 3] Extracting. 5.410 * * [regime]: Finding splitpoints for: (# # # # # # #) 5.412 * * * [regime-changes]: Trying 8 branch expressions: ((log t) (- (* x (log y)) y) (- (- (* x (log y)) y) z) (+ (- (- (* x (log y)) y) z) (log t)) t z y x) 5.412 * * * * [regimes]: Trying to branch on (log t) from (# # # # # # #) 5.498 * * * * [regimes]: Trying to branch on (- (* x (log y)) y) from (# # # # # # #) 5.586 * * * * [regimes]: Trying to branch on (- (- (* x (log y)) y) z) from (# # # # # # #) 5.672 * * * * [regimes]: Trying to branch on (+ (- (- (* x (log y)) y) z) (log t)) from (# # # # # # #) 5.762 * * * * [regimes]: Trying to branch on t from (# # # # # # #) 5.843 * * * * [regimes]: Trying to branch on z from (# # # # # # #) 5.923 * * * * [regimes]: Trying to branch on y from (# # # # # # #) 6.005 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 6.087 * * * [regime]: Found split indices: #