2.232 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.056 * * * [progress]: [2/2] Setting up program. 0.068 * [progress]: [Phase 2 of 3] Improving. 0.069 * [simplify]: Simplifying using # : (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0)) 0.072 * * [simplify]: iteration 0 : 22 enodes (cost 7 ) 0.074 * * [simplify]: iteration 1 : 55 enodes (cost 7 ) 0.076 * * [simplify]: iteration 2 : 101 enodes (cost 7 ) 0.078 * * [simplify]: iteration 3 : 182 enodes (cost 7 ) 0.082 * * [simplify]: iteration 4 : 335 enodes (cost 7 ) 0.089 * * [simplify]: iteration 5 : 731 enodes (cost 7 ) 0.103 * * [simplify]: iteration 6 : 1828 enodes (cost 7 ) 0.143 * * [simplify]: iteration 7 : 5001 enodes (cost 7 ) 0.143 * [simplify]: Simplified to: (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0)) 0.144 * * [progress]: iteration 1 / 4 0.144 * * * [progress]: picking best candidate 0.151 * * * * [pick]: Picked # 0.151 * * * [progress]: localizing error 0.168 * * * [progress]: generating rewritten candidates 0.168 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.176 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.182 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.186 * * * [progress]: generating series expansions 0.186 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.186 * [approximate]: Approximating (* 0.5 (/ (- (+ (pow x 2) (pow y 2)) (pow z 2)) y)) in (x y z) around 0 0.188 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (+ (pow x 2) (pow y 2)) (pow z 2)) y)) in y 0.189 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (+ (pow x 2) (pow y 2)) (pow z 2)) y)) in z 0.190 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (+ (pow x 2) (pow y 2)) (pow z 2)) y)) in y 0.192 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (+ (pow x 2) (pow y 2)) (pow z 2)) y)) in z 0.195 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (+ (pow x 2) (pow y 2)) (pow z 2)) y)) in y 0.196 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (+ (pow x 2) (pow y 2)) (pow z 2)) y)) in z 0.196 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (+ (pow x 2) (pow y 2)) (pow z 2)) y)) in z 0.199 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (+ (pow x 2) (pow y 2)) (pow z 2)) y)) in z 0.201 * [approximate]: Approximating (* 0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in (x y z) around 0 0.205 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in y 0.207 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in y 0.210 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in y 0.211 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in z 0.215 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in y 0.216 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in z 0.216 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in z 0.217 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in z 0.223 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in y 0.224 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in z 0.224 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in z 0.225 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in z 0.235 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in y 0.235 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in z 0.237 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in z 0.239 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in z 0.239 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in z 0.241 * [approximate]: Approximating (* -0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in (x y z) around 0 0.245 * [taylor]: Taking taylor expansion of (* -0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in y 0.247 * [taylor]: Taking taylor expansion of (* -0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in y 0.250 * [taylor]: Taking taylor expansion of (* -0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in y 0.251 * [taylor]: Taking taylor expansion of (* -0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in z 0.255 * [taylor]: Taking taylor expansion of (* -0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in y 0.257 * [taylor]: Taking taylor expansion of (* -0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in z 0.257 * [taylor]: Taking taylor expansion of (* -0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in z 0.258 * [taylor]: Taking taylor expansion of (* -0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in z 0.264 * [taylor]: Taking taylor expansion of (* -0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in y 0.266 * [taylor]: Taking taylor expansion of (* -0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in z 0.266 * [taylor]: Taking taylor expansion of (* -0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in z 0.266 * [taylor]: Taking taylor expansion of (* -0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in z 0.274 * [taylor]: Taking taylor expansion of (* -0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in y 0.274 * [taylor]: Taking taylor expansion of (* -0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in z 0.275 * [taylor]: Taking taylor expansion of (* -0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in z 0.276 * [taylor]: Taking taylor expansion of (* -0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in z 0.277 * [taylor]: Taking taylor expansion of (* -0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in z 0.280 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.280 * [approximate]: Approximating (- (+ (pow x 2) (pow y 2)) (pow z 2)) in (x y z) around 0 0.280 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) (pow y 2)) (pow z 2)) in y 0.280 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) (pow y 2)) (pow z 2)) in z 0.282 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) (pow y 2)) (pow z 2)) in y 0.282 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) (pow y 2)) (pow z 2)) in z 0.282 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) (pow y 2)) (pow z 2)) in z 0.284 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) (pow y 2)) (pow z 2)) in y 0.284 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) (pow y 2)) (pow z 2)) in z 0.284 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) (pow y 2)) (pow z 2)) in z 0.286 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) (pow y 2)) (pow z 2)) in z 0.287 * [approximate]: Approximating (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in (x y z) around 0 0.291 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in y 0.293 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in y 0.295 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in y 0.296 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in z 0.296 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in z 0.299 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in y 0.300 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in z 0.300 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in z 0.300 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in z 0.304 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in y 0.305 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in z 0.306 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in z 0.306 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in z 0.307 * [approximate]: Approximating (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in (x y z) around 0 0.313 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in y 0.315 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in y 0.317 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in y 0.318 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in z 0.318 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in z 0.320 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in y 0.322 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in z 0.322 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in z 0.322 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in z 0.325 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in y 0.327 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in z 0.328 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in z 0.328 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in z 0.328 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.329 * [approximate]: Approximating (+ (pow x 2) (pow y 2)) in (x y) around 0 0.329 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.329 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.330 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.332 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.334 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.335 * [approximate]: Approximating (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.337 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.348 * [approximate]: Approximating (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.360 * * * [progress]: simplifying candidates 0.361 * [simplify]: Simplifying using # : (- (log (- (+ (* x x) (* y y)) (* z z))) (+ (log y) (log 2.0))) (- (log (- (+ (* x x) (* y y)) (* z z))) (log (* y 2.0))) (log (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))) (exp (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))) (/ (* (* (- (+ (* x x) (* y y)) (* z z)) (- (+ (* x x) (* y y)) (* z z))) (- (+ (* x x) (* y y)) (* z z))) (* (* (* y y) y) (* (* 2.0 2.0) 2.0))) (/ (* (* (- (+ (* x x) (* y y)) (* z z)) (- (+ (* x x) (* y y)) (* z z))) (- (+ (* x x) (* y y)) (* z z))) (* (* (* y 2.0) (* y 2.0)) (* y 2.0))) (* (cbrt (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))) (cbrt (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0)))) (cbrt (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))) (* (* (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))) (sqrt (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))) (sqrt (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))) (neg (- (+ (* x x) (* y y)) (* z z))) (neg (* y 2.0)) (/ (+ (* x x) (* y y)) (* y 2.0)) (/ (* z z) (* y 2.0)) (/ (* (cbrt (- (+ (* x x) (* y y)) (* z z))) (cbrt (- (+ (* x x) (* y y)) (* z z)))) y) (/ (cbrt (- (+ (* x x) (* y y)) (* z z))) 2.0) (/ (sqrt (- (+ (* x x) (* y y)) (* z z))) y) (/ (sqrt (- (+ (* x x) (* y y)) (* z z))) 2.0) (/ 1 y) (/ (- (+ (* x x) (* y y)) (* z z)) 2.0) (/ (+ (sqrt (+ (* x x) (* y y))) z) y) (/ (- (sqrt (+ (* x x) (* y y))) z) 2.0) (/ 1 (* y 2.0)) (/ (* y 2.0) (- (+ (* x x) (* y y)) (* z z))) (/ (- (+ (* x x) (* y y)) (* z z)) y) (/ (* y 2.0) (cbrt (- (+ (* x x) (* y y)) (* z z)))) (/ (* y 2.0) (sqrt (- (+ (* x x) (* y y)) (* z z)))) (/ (* y 2.0) (- (+ (* x x) (* y y)) (* z z))) (/ (* y 2.0) (- (sqrt (+ (* x x) (* y y))) z)) (* (* y 2.0) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (* (* y 2.0) (+ (+ (* x x) (* y y)) (* z z))) (/ (* (exp (* x x)) (exp (* y y))) (exp (* z z))) (/ (exp (+ (* x x) (* y y))) (exp (* z z))) (log (- (+ (* x x) (* y y)) (* z z))) (exp (- (+ (* x x) (* y y)) (* z z))) (* (cbrt (- (+ (* x x) (* y y)) (* z z))) (cbrt (- (+ (* x x) (* y y)) (* z z)))) (cbrt (- (+ (* x x) (* y y)) (* z z))) (* (* (- (+ (* x x) (* y y)) (* z z)) (- (+ (* x x) (* y y)) (* z z))) (- (+ (* x x) (* y y)) (* z z))) (sqrt (- (+ (* x x) (* y y)) (* z z))) (sqrt (- (+ (* x x) (* y y)) (* z z))) (- (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))) (neg (* z z)) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (sqrt (+ (* x x) (* y y))) z) (- (sqrt (+ (* x x) (* y y))) z) (- (* y y) (* z z)) (neg (* z z)) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (- (+ (* 0.5 y) (* 0.5 (/ (pow x 2) y))) (* 0.5 (/ (pow z 2) y))) (- (+ (* 0.5 y) (* 0.5 (/ (pow x 2) y))) (* 0.5 (/ (pow z 2) y))) (- (+ (* 0.5 y) (* 0.5 (/ (pow x 2) y))) (* 0.5 (/ (pow z 2) y))) (- (+ (pow x 2) (pow y 2)) (pow z 2)) (- (+ (pow x 2) (pow y 2)) (pow z 2)) (- (+ (pow x 2) (pow y 2)) (pow z 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.365 * * [simplify]: iteration 0 : 337 enodes (cost 520 ) 0.372 * * [simplify]: iteration 1 : 1492 enodes (cost 454 ) 0.393 * * [simplify]: iteration 2 : 5001 enodes (cost 446 ) 0.396 * [simplify]: Simplified to: (log (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))) (log (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))) (log (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))) (exp (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))) (pow (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0)) 3) (pow (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0)) 3) (* (cbrt (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))) (cbrt (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0)))) (cbrt (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))) (pow (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0)) 3) (sqrt (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))) (sqrt (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))) (neg (- (+ (* x x) (* y y)) (* z z))) (neg (* y 2.0)) (/ (+ (* x x) (* y y)) (* y 2.0)) (/ (* z z) (* y 2.0)) (/ (* (cbrt (- (+ (* x x) (* y y)) (* z z))) (cbrt (- (+ (* x x) (* y y)) (* z z)))) y) (/ (cbrt (- (+ (* x x) (* y y)) (* z z))) 2.0) (/ (sqrt (- (+ (* x x) (* y y)) (* z z))) y) (/ (sqrt (- (+ (* x x) (* y y)) (* z z))) 2.0) (/ 1 y) (/ (- (+ (* x x) (* y y)) (* z z)) 2.0) (/ (+ (sqrt (+ (* x x) (* y y))) z) y) (/ (- (sqrt (+ (* x x) (* y y))) z) 2.0) (/ 1 (* y 2.0)) (/ (* y 2.0) (- (+ (* x x) (* y y)) (* z z))) (/ (- (+ (* x x) (* y y)) (* z z)) y) (/ (* y 2.0) (cbrt (- (+ (* x x) (* y y)) (* z z)))) (/ (* y 2.0) (sqrt (- (+ (* x x) (* y y)) (* z z)))) (/ (* y 2.0) (- (+ (* x x) (* y y)) (* z z))) (/ (* y 2.0) (- (sqrt (+ (* x x) (* y y))) z)) (* (* y (+ (* (+ (pow x 2) (pow y 2)) (+ (+ (* x x) (* y y)) (* z z))) (pow z 4))) 2.0) (* (* y 2.0) (+ (+ (* x x) (* y y)) (* z z))) (exp (- (+ (* x x) (* y y)) (* z z))) (exp (- (+ (* x x) (* y y)) (* z z))) (log (- (+ (pow x 2) (pow y 2)) (pow z 2))) (exp (- (+ (* x x) (* y y)) (* z z))) (* (cbrt (- (+ (* x x) (* y y)) (* z z))) (cbrt (- (+ (* x x) (* y y)) (* z z)))) (cbrt (- (+ (* x x) (* y y)) (* z z))) (pow (- (+ (pow x 2) (pow y 2)) (pow z 2)) 3) (sqrt (- (+ (* x x) (* y y)) (* z z))) (sqrt (- (+ (* x x) (* y y)) (* z z))) (- (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)) (+ (* (+ (pow x 2) (pow y 2)) (+ (+ (* x x) (* y y)) (* z z))) (pow z 4)) (neg (* z z)) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (sqrt (+ (* x x) (* y y))) z) (- (sqrt (+ (* x x) (* y y))) z) (- (* y y) (* z z)) (neg (* z z)) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (+ (* (neg (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)) (* 0.5 (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))) (* 0.5 (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))) (* 0.5 (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))) (- (+ (pow x 2) (pow y 2)) (pow z 2)) (- (+ (pow x 2) (pow y 2)) (pow z 2)) (- (+ (pow x 2) (pow y 2)) (pow z 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.397 * * * [progress]: adding candidates to table 0.569 * * [progress]: iteration 2 / 4 0.569 * * * [progress]: picking best candidate 0.585 * * * * [pick]: Picked # 0.585 * * * [progress]: localizing error 0.595 * * * [progress]: generating rewritten candidates 0.595 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 0.600 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 0.604 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.624 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.637 * * * [progress]: generating series expansions 0.637 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 0.637 * [approximate]: Approximating (/ (pow x 2) y) in (x y) around 0 0.638 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in y 0.639 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in y 0.640 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in y 0.642 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in y 0.643 * [approximate]: Approximating (/ y (pow x 2)) in (x y) around 0 0.644 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in y 0.645 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in y 0.646 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in y 0.649 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in y 0.649 * [approximate]: Approximating (* -1 (/ y (pow x 2))) in (x y) around 0 0.650 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow x 2))) in y 0.652 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow x 2))) in y 0.655 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow x 2))) in y 0.659 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow x 2))) in y 0.659 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 0.659 * [approximate]: Approximating (/ (pow z 2) y) in (z y) around 0 0.660 * [taylor]: Taking taylor expansion of (/ (pow z 2) y) in y 0.661 * [taylor]: Taking taylor expansion of (/ (pow z 2) y) in y 0.662 * [taylor]: Taking taylor expansion of (/ (pow z 2) y) in y 0.663 * [taylor]: Taking taylor expansion of (/ (pow z 2) y) in y 0.664 * [approximate]: Approximating (/ y (pow z 2)) in (z y) around 0 0.665 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in y 0.666 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in y 0.668 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in y 0.670 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in y 0.670 * [approximate]: Approximating (* -1 (/ y (pow z 2))) in (z y) around 0 0.671 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow z 2))) in y 0.673 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow z 2))) in y 0.676 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow z 2))) in y 0.683 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow z 2))) in y 0.684 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.684 * [approximate]: Approximating (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in (y x z) around 0 0.685 * [taylor]: Taking taylor expansion of (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in x 0.686 * [taylor]: Taking taylor expansion of (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in z 0.688 * [taylor]: Taking taylor expansion of (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in x 0.688 * [taylor]: Taking taylor expansion of (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in z 0.689 * [taylor]: Taking taylor expansion of (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in z 0.693 * [taylor]: Taking taylor expansion of (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in x 0.693 * [taylor]: Taking taylor expansion of (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in z 0.693 * [taylor]: Taking taylor expansion of (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in z 0.694 * [taylor]: Taking taylor expansion of (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in z 0.695 * [approximate]: Approximating (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in (y x z) around 0 0.698 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in x 0.699 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in x 0.700 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in x 0.701 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in z 0.701 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in z 0.703 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in x 0.704 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in z 0.705 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in z 0.705 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in z 0.707 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in x 0.709 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in z 0.710 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in z 0.710 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in z 0.710 * [approximate]: Approximating (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in (y x z) around 0 0.713 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in x 0.715 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in x 0.716 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in x 0.717 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in z 0.717 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in z 0.719 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in x 0.721 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in z 0.721 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in z 0.721 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in z 0.724 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in x 0.725 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in z 0.726 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in z 0.726 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in z 0.726 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.727 * [approximate]: Approximating (+ y (/ (pow x 2) y)) in (y x) around 0 0.727 * [taylor]: Taking taylor expansion of (+ y (/ (pow x 2) y)) in x 0.728 * [taylor]: Taking taylor expansion of (+ y (/ (pow x 2) y)) in x 0.730 * [taylor]: Taking taylor expansion of (+ y (/ (pow x 2) y)) in x 0.733 * [taylor]: Taking taylor expansion of (+ y (/ (pow x 2) y)) in x 0.737 * [taylor]: Taking taylor expansion of (+ y (/ (pow x 2) y)) in x 0.737 * [approximate]: Approximating (+ (/ y (pow x 2)) (/ 1 y)) in (y x) around 0 0.739 * [taylor]: Taking taylor expansion of (+ (/ y (pow x 2)) (/ 1 y)) in x 0.740 * [taylor]: Taking taylor expansion of (+ (/ y (pow x 2)) (/ 1 y)) in x 0.740 * [taylor]: Taking taylor expansion of (+ (/ y (pow x 2)) (/ 1 y)) in x 0.742 * [taylor]: Taking taylor expansion of (+ (/ y (pow x 2)) (/ 1 y)) in x 0.745 * [taylor]: Taking taylor expansion of (+ (/ y (pow x 2)) (/ 1 y)) in x 0.746 * [approximate]: Approximating (neg (+ (/ y (pow x 2)) (/ 1 y))) in (y x) around 0 0.748 * [taylor]: Taking taylor expansion of (neg (+ (/ y (pow x 2)) (/ 1 y))) in x 0.749 * [taylor]: Taking taylor expansion of (neg (+ (/ y (pow x 2)) (/ 1 y))) in x 0.750 * [taylor]: Taking taylor expansion of (neg (+ (/ y (pow x 2)) (/ 1 y))) in x 0.752 * [taylor]: Taking taylor expansion of (neg (+ (/ y (pow x 2)) (/ 1 y))) in x 0.755 * [taylor]: Taking taylor expansion of (neg (+ (/ y (pow x 2)) (/ 1 y))) in x 0.759 * * * [progress]: simplifying candidates 0.761 * [simplify]: Simplifying using # : (- (* (log x) 2) (log y)) (- (* (log x) 2) (log y)) (- (log (pow x 2)) (log y)) (log (/ (pow x 2) y)) (exp (/ (pow x 2) y)) (/ (* (* (pow x 2) (pow x 2)) (pow x 2)) (* (* y y) y)) (* (cbrt (/ (pow x 2) y)) (cbrt (/ (pow x 2) y))) (cbrt (/ (pow x 2) y)) (* (* (/ (pow x 2) y) (/ (pow x 2) y)) (/ (pow x 2) y)) (sqrt (/ (pow x 2) y)) (sqrt (/ (pow x 2) y)) (neg (pow x 2)) (neg y) (/ (pow (* (cbrt x) (cbrt x)) 2) (* (cbrt y) (cbrt y))) (/ (pow (cbrt x) 2) (cbrt y)) (/ (pow (* (cbrt x) (cbrt x)) 2) (sqrt y)) (/ (pow (cbrt x) 2) (sqrt y)) (/ (pow (* (cbrt x) (cbrt x)) 2) 1) (/ (pow (cbrt x) 2) y) (/ (pow (sqrt x) 2) (* (cbrt y) (cbrt y))) (/ (pow (sqrt x) 2) (cbrt y)) (/ (pow (sqrt x) 2) (sqrt y)) (/ (pow (sqrt x) 2) (sqrt y)) (/ (pow (sqrt x) 2) 1) (/ (pow (sqrt x) 2) y) (/ (pow 1 2) (* (cbrt y) (cbrt y))) (/ (pow x 2) (cbrt y)) (/ (pow 1 2) (sqrt y)) (/ (pow x 2) (sqrt y)) (/ (pow 1 2) 1) (/ (pow x 2) y) (/ x (* (cbrt y) (cbrt y))) (/ x (cbrt y)) (/ x (sqrt y)) (/ x (sqrt y)) (/ x 1) (/ x y) (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (* (cbrt y) (cbrt y))) (/ (cbrt (pow x 2)) (cbrt y)) (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (sqrt y)) (/ (cbrt (pow x 2)) (sqrt y)) (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) 1) (/ (cbrt (pow x 2)) y) (/ (sqrt (pow x 2)) (* (cbrt y) (cbrt y))) (/ (sqrt (pow x 2)) (cbrt y)) (/ (sqrt (pow x 2)) (sqrt y)) (/ (sqrt (pow x 2)) (sqrt y)) (/ (sqrt (pow x 2)) 1) (/ (sqrt (pow x 2)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (pow x 2) (cbrt y)) (/ 1 (sqrt y)) (/ (pow x 2) (sqrt y)) (/ 1 1) (/ (pow x 2) y) (/ (pow x (/ 2 2)) (* (cbrt y) (cbrt y))) (/ (pow x (/ 2 2)) (cbrt y)) (/ (pow x (/ 2 2)) (sqrt y)) (/ (pow x (/ 2 2)) (sqrt y)) (/ (pow x (/ 2 2)) 1) (/ (pow x (/ 2 2)) y) (/ 1 y) (/ y (pow x 2)) (/ (pow x 2) (* (cbrt y) (cbrt y))) (/ (pow x 2) (sqrt y)) (/ (pow x 2) 1) (/ y (pow (cbrt x) 2)) (/ y (pow (sqrt x) 2)) (/ y (pow x 2)) (/ y x) (/ y (cbrt (pow x 2))) (/ y (sqrt (pow x 2))) (/ y (pow x 2)) (/ y (pow x (/ 2 2))) (- (* (log z) 2) (log y)) (- (* (log z) 2) (log y)) (- (log (pow z 2)) (log y)) (log (/ (pow z 2) y)) (exp (/ (pow z 2) y)) (/ (* (* (pow z 2) (pow z 2)) (pow z 2)) (* (* y y) y)) (* (cbrt (/ (pow z 2) y)) (cbrt (/ (pow z 2) y))) (cbrt (/ (pow z 2) y)) (* (* (/ (pow z 2) y) (/ (pow z 2) y)) (/ (pow z 2) y)) (sqrt (/ (pow z 2) y)) (sqrt (/ (pow z 2) y)) (neg (pow z 2)) (neg y) (/ (pow (* (cbrt z) (cbrt z)) 2) (* (cbrt y) (cbrt y))) (/ (pow (cbrt z) 2) (cbrt y)) (/ (pow (* (cbrt z) (cbrt z)) 2) (sqrt y)) (/ (pow (cbrt z) 2) (sqrt y)) (/ (pow (* (cbrt z) (cbrt z)) 2) 1) (/ (pow (cbrt z) 2) y) (/ (pow (sqrt z) 2) (* (cbrt y) (cbrt y))) (/ (pow (sqrt z) 2) (cbrt y)) (/ (pow (sqrt z) 2) (sqrt y)) (/ (pow (sqrt z) 2) (sqrt y)) (/ (pow (sqrt z) 2) 1) (/ (pow (sqrt z) 2) y) (/ (pow 1 2) (* (cbrt y) (cbrt y))) (/ (pow z 2) (cbrt y)) (/ (pow 1 2) (sqrt y)) (/ (pow z 2) (sqrt y)) (/ (pow 1 2) 1) (/ (pow z 2) y) (/ z (* (cbrt y) (cbrt y))) (/ z (cbrt y)) (/ z (sqrt y)) (/ z (sqrt y)) (/ z 1) (/ z y) (/ (* (cbrt (pow z 2)) (cbrt (pow z 2))) (* (cbrt y) (cbrt y))) (/ (cbrt (pow z 2)) (cbrt y)) (/ (* (cbrt (pow z 2)) (cbrt (pow z 2))) (sqrt y)) (/ (cbrt (pow z 2)) (sqrt y)) (/ (* (cbrt (pow z 2)) (cbrt (pow z 2))) 1) (/ (cbrt (pow z 2)) y) (/ (sqrt (pow z 2)) (* (cbrt y) (cbrt y))) (/ (sqrt (pow z 2)) (cbrt y)) (/ (sqrt (pow z 2)) (sqrt y)) (/ (sqrt (pow z 2)) (sqrt y)) (/ (sqrt (pow z 2)) 1) (/ (sqrt (pow z 2)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (pow z 2) (cbrt y)) (/ 1 (sqrt y)) (/ (pow z 2) (sqrt y)) (/ 1 1) (/ (pow z 2) y) (/ (pow z (/ 2 2)) (* (cbrt y) (cbrt y))) (/ (pow z (/ 2 2)) (cbrt y)) (/ (pow z (/ 2 2)) (sqrt y)) (/ (pow z (/ 2 2)) (sqrt y)) (/ (pow z (/ 2 2)) 1) (/ (pow z (/ 2 2)) y) (/ 1 y) (/ y (pow z 2)) (/ (pow z 2) (* (cbrt y) (cbrt y))) (/ (pow z 2) (sqrt y)) (/ (pow z 2) 1) (/ y (pow (cbrt z) 2)) (/ y (pow (sqrt z) 2)) (/ y (pow z 2)) (/ y z) (/ y (cbrt (pow z 2))) (/ y (sqrt (pow z 2))) (/ y (pow z 2)) (/ y (pow z (/ 2 2))) (/ (* (exp y) (exp (/ (pow x 2) y))) (exp (/ (pow z 2) y))) (/ (exp (+ y (/ (pow x 2) y))) (exp (/ (pow z 2) y))) (log (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))) (exp (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))) (* (cbrt (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))) (cbrt (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)))) (cbrt (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))) (* (* (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))) (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))) (sqrt (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))) (sqrt (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))) (- (* (+ (pow y 3) (pow (/ (pow x 2) y) 3)) y) (* (+ (* y y) (- (* (/ (pow x 2) y) (/ (pow x 2) y)) (* y (/ (pow x 2) y)))) (pow z 2))) (* (+ (* y y) (- (* (/ (pow x 2) y) (/ (pow x 2) y)) (* y (/ (pow x 2) y)))) y) (- (* (- (* y y) (* (/ (pow x 2) y) (/ (pow x 2) y))) y) (* (- y (/ (pow x 2) y)) (pow z 2))) (* (- y (/ (pow x 2) y)) y) (- (pow (+ y (/ (pow x 2) y)) 3) (pow (/ (pow z 2) y) 3)) (+ (* (+ y (/ (pow x 2) y)) (+ y (/ (pow x 2) y))) (+ (* (/ (pow z 2) y) (/ (pow z 2) y)) (* (+ y (/ (pow x 2) y)) (/ (pow z 2) y)))) (neg (/ (pow z 2) y)) (- (* (+ y (/ (pow x 2) y)) (+ y (/ (pow x 2) y))) (* (/ (pow z 2) y) (/ (pow z 2) y))) (+ (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) (+ (sqrt (+ y (/ (pow x 2) y))) (sqrt (/ (pow z 2) y))) (- (sqrt (+ y (/ (pow x 2) y))) (sqrt (/ (pow z 2) y))) (+ (sqrt (+ y (/ (pow x 2) y))) (/ (pow (sqrt z) 2) (sqrt y))) (- (sqrt (+ y (/ (pow x 2) y))) (/ (pow (sqrt z) 2) (sqrt y))) (+ (sqrt (+ y (/ (pow x 2) y))) (/ z (sqrt y))) (- (sqrt (+ y (/ (pow x 2) y))) (/ z (sqrt y))) (+ (sqrt (+ y (/ (pow x 2) y))) (/ (sqrt (pow z 2)) (sqrt y))) (- (sqrt (+ y (/ (pow x 2) y))) (/ (sqrt (pow z 2)) (sqrt y))) (+ (sqrt (+ y (/ (pow x 2) y))) (/ (pow z (/ 2 2)) (sqrt y))) (- (sqrt (+ y (/ (pow x 2) y))) (/ (pow z (/ 2 2)) (sqrt y))) (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) (- (/ (pow x 2) y) (/ (pow z 2) y)) (neg (/ (pow z 2) y)) (* (exp y) (exp (/ (pow x 2) y))) (log (+ y (/ (pow x 2) y))) (exp (+ y (/ (pow x 2) y))) (* (cbrt (+ y (/ (pow x 2) y))) (cbrt (+ y (/ (pow x 2) y)))) (cbrt (+ y (/ (pow x 2) y))) (* (* (+ y (/ (pow x 2) y)) (+ y (/ (pow x 2) y))) (+ y (/ (pow x 2) y))) (sqrt (+ y (/ (pow x 2) y))) (sqrt (+ y (/ (pow x 2) y))) (+ (pow y 3) (pow (/ (pow x 2) y) 3)) (+ (* y y) (- (* (/ (pow x 2) y) (/ (pow x 2) y)) (* y (/ (pow x 2) y)))) (- (* y y) (* (/ (pow x 2) y) (/ (pow x 2) y))) (- y (/ (pow x 2) y)) (+ y (/ (pow x 2) y)) (/ (pow x 2) y) (/ (pow x 2) y) (/ (pow x 2) y) (/ (pow z 2) y) (/ (pow z 2) y) (/ (pow z 2) y) (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) (+ y (/ (pow x 2) y)) (+ y (/ (pow x 2) y)) (+ y (/ (pow x 2) y)) 0.768 * * [simplify]: iteration 0 : 419 enodes (cost 838 ) 0.774 * * [simplify]: iteration 1 : 1459 enodes (cost 771 ) 0.797 * * [simplify]: iteration 2 : 5002 enodes (cost 759 ) 0.802 * [simplify]: Simplified to: (log (/ (pow x 2) y)) (log (/ (pow x 2) y)) (log (/ (pow x 2) y)) (log (/ (pow x 2) y)) (exp (/ (pow x 2) y)) (pow (/ (pow x 2) y) 3) (* (cbrt (/ (pow x 2) y)) (cbrt (/ (pow x 2) y))) (cbrt (/ (pow x 2) y)) (pow (/ (pow x 2) y) 3) (sqrt (/ (pow x 2) y)) (sqrt (/ (pow x 2) y)) (neg (pow x 2)) (neg y) (/ (pow (cbrt x) 4) (* (* (cbrt y) (cbrt y)) 1)) (/ (pow (cbrt x) 2) (cbrt y)) (/ (pow (cbrt x) 4) (* (sqrt y) 1)) (/ (pow (cbrt x) 2) (sqrt y)) (pow (cbrt x) 4) (/ (pow (cbrt x) 2) y) (/ x (* (cbrt y) (cbrt y))) (/ x (cbrt y)) (/ x (sqrt y)) (/ x (sqrt y)) x (/ x y) (/ 1 (* (cbrt y) (cbrt y))) (/ (pow x 2) (cbrt y)) (/ 1 (sqrt y)) (/ (pow x 2) (sqrt y)) 1 (/ (pow x 2) y) (/ x (* (cbrt y) (cbrt y))) (/ x (cbrt y)) (/ x (sqrt y)) (/ x (sqrt y)) x (/ x y) (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (* (cbrt y) (cbrt y))) (/ (cbrt (pow x 2)) (cbrt y)) (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (sqrt y)) (/ (cbrt (pow x 2)) (sqrt y)) (* (cbrt (pow x 2)) (cbrt (pow x 2))) (/ (cbrt (pow x 2)) y) (/ (/ (fabs x) (cbrt y)) (cbrt y)) (/ (fabs x) (cbrt y)) (/ (fabs x) (sqrt y)) (/ (fabs x) (sqrt y)) (fabs x) (/ (fabs x) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (pow x 2) (cbrt y)) (/ 1 (sqrt y)) (/ (pow x 2) (sqrt y)) 1 (/ (pow x 2) y) (/ x (* (cbrt y) (cbrt y))) (/ x (cbrt y)) (/ x (sqrt y)) (/ x (sqrt y)) x (/ x y) (/ 1 y) (/ y (pow x 2)) (/ (pow x 2) (* (cbrt y) (cbrt y))) (/ (pow x 2) (sqrt y)) (pow x 2) (/ y (pow (cbrt x) 2)) (/ y x) (/ y (pow x 2)) (/ y x) (/ y (cbrt (pow x 2))) (/ y (fabs x)) (/ y (pow x 2)) (/ y x) (log (/ (pow z 2) y)) (log (/ (pow z 2) y)) (log (/ (pow z 2) y)) (log (/ (pow z 2) y)) (exp (/ (pow z 2) y)) (pow (/ (pow z 2) y) 3) (* (cbrt (/ (pow z 2) y)) (cbrt (/ (pow z 2) y))) (cbrt (/ (pow z 2) y)) (pow (/ (pow z 2) y) 3) (sqrt (/ (pow z 2) y)) (sqrt (/ (pow z 2) y)) (neg (pow z 2)) (neg y) (/ (pow (cbrt z) 4) (* (* (cbrt y) (cbrt y)) 1)) (/ (pow (cbrt z) 2) (cbrt y)) (/ (pow (cbrt z) 4) (* (sqrt y) 1)) (/ (pow (cbrt z) 2) (sqrt y)) (pow (cbrt z) 4) (/ (pow (cbrt z) 2) y) (/ z (* (cbrt y) (cbrt y))) (/ z (cbrt y)) (/ z (sqrt y)) (/ z (sqrt y)) z (/ z y) (/ 1 (* (cbrt y) (cbrt y))) (/ (pow z 2) (cbrt y)) (/ 1 (sqrt y)) (/ (pow z 2) (sqrt y)) 1 (/ (pow z 2) y) (/ z (* (cbrt y) (cbrt y))) (/ z (cbrt y)) (/ z (sqrt y)) (/ z (sqrt y)) z (/ z y) (/ (* (cbrt (pow z 2)) (cbrt (pow z 2))) (* (cbrt y) (cbrt y))) (/ (cbrt (pow z 2)) (cbrt y)) (/ (* (cbrt (pow z 2)) (cbrt (pow z 2))) (sqrt y)) (/ (cbrt (pow z 2)) (sqrt y)) (* (cbrt (pow z 2)) (cbrt (pow z 2))) (/ (cbrt (pow z 2)) y) (/ (/ (fabs z) (cbrt y)) (cbrt y)) (/ (fabs z) (cbrt y)) (/ (fabs z) (sqrt y)) (/ (fabs z) (sqrt y)) (fabs z) (/ (fabs z) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (pow z 2) (cbrt y)) (/ 1 (sqrt y)) (/ (pow z 2) (sqrt y)) 1 (/ (pow z 2) y) (/ z (* (cbrt y) (cbrt y))) (/ z (cbrt y)) (/ z (sqrt y)) (/ z (sqrt y)) z (/ z y) (/ 1 y) (/ y (pow z 2)) (/ (pow z 2) (* (cbrt y) (cbrt y))) (/ (pow z 2) (sqrt y)) (pow z 2) (/ y (pow (cbrt z) 2)) (/ y z) (/ y (pow z 2)) (/ y z) (/ y (cbrt (pow z 2))) (/ y (fabs z)) (/ y (pow z 2)) (/ y z) (exp (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))) (exp (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))) (log (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))) (exp (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))) (* (cbrt (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))) (cbrt (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)))) (cbrt (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))) (pow (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) 3) (sqrt (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))) (sqrt (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))) (+ (* (neg (pow z 2)) (+ (* (/ (pow x 2) y) (- (/ (pow x 2) y) y)) (* y y))) (* (+ (pow y 3) (pow (/ (pow x 2) y) 3)) y)) (* y (+ (* (/ (pow x 2) y) (- (/ (pow x 2) y) y)) (* y y))) (* (- y (/ (pow x 2) y)) (- (* y (+ y (/ (pow x 2) y))) (pow z 2))) (* (- y (/ (pow x 2) y)) y) (- (pow (+ y (/ (pow x 2) y)) 3) (pow (/ (pow z 2) y) 3)) (+ (* (+ y (/ (pow x 2) y)) (+ (+ y (/ (pow x 2) y)) (/ (pow z 2) y))) (* (/ (pow z 3) y) (/ z y))) (neg (/ (pow z 2) y)) (- (* (+ y (/ (pow x 2) y)) (+ y (/ (pow x 2) y))) (* (/ (pow z 2) y) (/ (pow z 2) y))) (+ (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) (+ (sqrt (+ y (/ (pow x 2) y))) (sqrt (/ (pow z 2) y))) (- (sqrt (+ y (/ (pow x 2) y))) (sqrt (/ (pow z 2) y))) (+ (sqrt (+ y (/ (pow x 2) y))) (/ z (sqrt y))) (- (sqrt (+ y (/ (pow x 2) y))) (/ z (sqrt y))) (+ (sqrt (+ y (/ (pow x 2) y))) (/ z (sqrt y))) (- (sqrt (+ y (/ (pow x 2) y))) (/ z (sqrt y))) (+ (sqrt (+ y (/ (pow x 2) y))) (/ (sqrt (pow z 2)) (sqrt y))) (- (sqrt (+ y (/ (pow x 2) y))) (/ (sqrt (pow z 2)) (sqrt y))) (+ (sqrt (+ y (/ (pow x 2) y))) (/ z (sqrt y))) (- (sqrt (+ y (/ (pow x 2) y))) (/ z (sqrt y))) (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) (- (/ (pow x 2) y) (/ (pow z 2) y)) (neg (/ (pow z 2) y)) (exp (+ y (/ (pow x 2) y))) (log (+ y (/ (pow x 2) y))) (exp (+ y (/ (pow x 2) y))) (* (cbrt (+ y (/ (pow x 2) y))) (cbrt (+ y (/ (pow x 2) y)))) (cbrt (+ y (/ (pow x 2) y))) (pow (+ y (/ (pow x 2) y)) 3) (sqrt (+ y (/ (pow x 2) y))) (sqrt (+ y (/ (pow x 2) y))) (+ (pow y 3) (pow (/ (pow x 2) y) 3)) (+ (* (/ (pow x 2) y) (- (/ (pow x 2) y) y)) (* y y)) (- (* y y) (* (/ (pow x 2) y) (/ (pow x 2) y))) (- y (/ (pow x 2) y)) (+ y (/ (pow x 2) y)) (/ (pow x 2) y) (/ (pow x 2) y) (/ (pow x 2) y) (/ (pow z 2) y) (/ (pow z 2) y) (/ (pow z 2) y) (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) (+ y (/ (pow x 2) y)) (+ y (/ (pow x 2) y)) (+ y (/ (pow x 2) y)) 0.803 * * * [progress]: adding candidates to table 1.838 * * [progress]: iteration 3 / 4 1.838 * * * [progress]: picking best candidate 1.866 * * * * [pick]: Picked # 1.866 * * * [progress]: localizing error 1.876 * * * [progress]: generating rewritten candidates 1.876 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.881 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 1.890 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.910 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.927 * * * [progress]: generating series expansions 1.928 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.928 * [approximate]: Approximating (/ (pow z 2) y) in (z y) around 0 1.929 * [taylor]: Taking taylor expansion of (/ (pow z 2) y) in y 1.930 * [taylor]: Taking taylor expansion of (/ (pow z 2) y) in y 1.931 * [taylor]: Taking taylor expansion of (/ (pow z 2) y) in y 1.932 * [taylor]: Taking taylor expansion of (/ (pow z 2) y) in y 1.933 * [approximate]: Approximating (/ y (pow z 2)) in (z y) around 0 1.934 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in y 1.935 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in y 1.937 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in y 1.939 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in y 1.940 * [approximate]: Approximating (* -1 (/ y (pow z 2))) in (z y) around 0 1.940 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow z 2))) in y 1.943 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow z 2))) in y 1.946 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow z 2))) in y 1.950 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow z 2))) in y 1.950 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 1.950 * [approximate]: Approximating (/ (pow x 2) y) in (x y) around 0 1.951 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in y 1.952 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in y 1.953 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in y 1.958 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in y 1.959 * [approximate]: Approximating (/ y (pow x 2)) in (x y) around 0 1.960 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in y 1.961 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in y 1.962 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in y 1.965 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in y 1.965 * [approximate]: Approximating (* -1 (/ y (pow x 2))) in (x y) around 0 1.966 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow x 2))) in y 1.968 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow x 2))) in y 1.971 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow x 2))) in y 1.975 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow x 2))) in y 1.975 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.976 * [approximate]: Approximating (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in (y x z) around 0 1.977 * [taylor]: Taking taylor expansion of (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in x 1.977 * [taylor]: Taking taylor expansion of (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in z 1.980 * [taylor]: Taking taylor expansion of (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in x 1.980 * [taylor]: Taking taylor expansion of (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in z 1.981 * [taylor]: Taking taylor expansion of (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in z 1.985 * [taylor]: Taking taylor expansion of (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in x 1.985 * [taylor]: Taking taylor expansion of (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in z 1.985 * [taylor]: Taking taylor expansion of (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in z 1.986 * [taylor]: Taking taylor expansion of (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in z 1.987 * [approximate]: Approximating (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in (y x z) around 0 1.990 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in x 1.991 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in x 1.992 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in x 1.993 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in z 1.993 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in z 1.995 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in x 1.997 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in z 1.997 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in z 1.997 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in z 2.000 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in x 2.001 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in z 2.002 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in z 2.002 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in z 2.003 * [approximate]: Approximating (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in (y x z) around 0 2.006 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in x 2.007 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in x 2.008 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in x 2.010 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in z 2.010 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in z 2.012 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in x 2.014 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in z 2.014 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in z 2.014 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in z 2.016 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in x 2.018 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in z 2.019 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in z 2.019 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in z 2.020 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 2.020 * [approximate]: Approximating (+ y (/ (pow x 2) y)) in (y x) around 0 2.020 * [taylor]: Taking taylor expansion of (+ y (/ (pow x 2) y)) in x 2.022 * [taylor]: Taking taylor expansion of (+ y (/ (pow x 2) y)) in x 2.023 * [taylor]: Taking taylor expansion of (+ y (/ (pow x 2) y)) in x 2.026 * [taylor]: Taking taylor expansion of (+ y (/ (pow x 2) y)) in x 2.030 * [taylor]: Taking taylor expansion of (+ y (/ (pow x 2) y)) in x 2.031 * [approximate]: Approximating (+ (/ y (pow x 2)) (/ 1 y)) in (y x) around 0 2.032 * [taylor]: Taking taylor expansion of (+ (/ y (pow x 2)) (/ 1 y)) in x 2.033 * [taylor]: Taking taylor expansion of (+ (/ y (pow x 2)) (/ 1 y)) in x 2.036 * [taylor]: Taking taylor expansion of (+ (/ y (pow x 2)) (/ 1 y)) in x 2.038 * [taylor]: Taking taylor expansion of (+ (/ y (pow x 2)) (/ 1 y)) in x 2.041 * [taylor]: Taking taylor expansion of (+ (/ y (pow x 2)) (/ 1 y)) in x 2.042 * [approximate]: Approximating (neg (+ (/ y (pow x 2)) (/ 1 y))) in (y x) around 0 2.044 * [taylor]: Taking taylor expansion of (neg (+ (/ y (pow x 2)) (/ 1 y))) in x 2.045 * [taylor]: Taking taylor expansion of (neg (+ (/ y (pow x 2)) (/ 1 y))) in x 2.046 * [taylor]: Taking taylor expansion of (neg (+ (/ y (pow x 2)) (/ 1 y))) in x 2.049 * [taylor]: Taking taylor expansion of (neg (+ (/ y (pow x 2)) (/ 1 y))) in x 2.052 * [taylor]: Taking taylor expansion of (neg (+ (/ y (pow x 2)) (/ 1 y))) in x 2.054 * * * [progress]: simplifying candidates 2.056 * [simplify]: Simplifying using # : (- (* (log z) 2) (log y)) (- (* (log z) 2) (log y)) (- (log (pow z 2)) (log y)) (log (/ (pow z 2) y)) (exp (/ (pow z 2) y)) (/ (* (* (pow z 2) (pow z 2)) (pow z 2)) (* (* y y) y)) (* (cbrt (/ (pow z 2) y)) (cbrt (/ (pow z 2) y))) (cbrt (/ (pow z 2) y)) (* (* (/ (pow z 2) y) (/ (pow z 2) y)) (/ (pow z 2) y)) (sqrt (/ (pow z 2) y)) (sqrt (/ (pow z 2) y)) (neg (pow z 2)) (neg y) (/ (pow (* (cbrt z) (cbrt z)) 2) (* (cbrt y) (cbrt y))) (/ (pow (cbrt z) 2) (cbrt y)) (/ (pow (* (cbrt z) (cbrt z)) 2) (sqrt y)) (/ (pow (cbrt z) 2) (sqrt y)) (/ (pow (* (cbrt z) (cbrt z)) 2) 1) (/ (pow (cbrt z) 2) y) (/ (pow (sqrt z) 2) (* (cbrt y) (cbrt y))) (/ (pow (sqrt z) 2) (cbrt y)) (/ (pow (sqrt z) 2) (sqrt y)) (/ (pow (sqrt z) 2) (sqrt y)) (/ (pow (sqrt z) 2) 1) (/ (pow (sqrt z) 2) y) (/ (pow 1 2) (* (cbrt y) (cbrt y))) (/ (pow z 2) (cbrt y)) (/ (pow 1 2) (sqrt y)) (/ (pow z 2) (sqrt y)) (/ (pow 1 2) 1) (/ (pow z 2) y) (/ z (* (cbrt y) (cbrt y))) (/ z (cbrt y)) (/ z (sqrt y)) (/ z (sqrt y)) (/ z 1) (/ z y) (/ (* (cbrt (pow z 2)) (cbrt (pow z 2))) (* (cbrt y) (cbrt y))) (/ (cbrt (pow z 2)) (cbrt y)) (/ (* (cbrt (pow z 2)) (cbrt (pow z 2))) (sqrt y)) (/ (cbrt (pow z 2)) (sqrt y)) (/ (* (cbrt (pow z 2)) (cbrt (pow z 2))) 1) (/ (cbrt (pow z 2)) y) (/ (sqrt (pow z 2)) (* (cbrt y) (cbrt y))) (/ (sqrt (pow z 2)) (cbrt y)) (/ (sqrt (pow z 2)) (sqrt y)) (/ (sqrt (pow z 2)) (sqrt y)) (/ (sqrt (pow z 2)) 1) (/ (sqrt 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x) (cbrt (/ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (/ y x))) (/ (cbrt x) (sqrt (/ y x))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (/ (cbrt x) (/ (cbrt y) (cbrt x))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt y) (cbrt y)) (sqrt x))) (/ (cbrt x) (/ (cbrt y) (sqrt x))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt x) (/ (cbrt y) x)) (/ (* (cbrt x) (cbrt x)) (/ (sqrt y) (* (cbrt x) (cbrt x)))) (/ (cbrt x) (/ (sqrt y) (cbrt x))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt y) (sqrt x))) (/ (cbrt x) (/ (sqrt y) (sqrt x))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt y) 1)) (/ (cbrt x) (/ (sqrt y) x)) (/ (* (cbrt x) (cbrt x)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt x) (/ y (cbrt x))) (/ (* (cbrt x) (cbrt x)) (/ 1 (sqrt x))) (/ (cbrt x) (/ y (sqrt x))) (/ (* (cbrt x) (cbrt x)) (/ 1 1)) (/ (cbrt x) (/ y x)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (/ y x)) (/ (* (cbrt x) (cbrt x)) y) (/ (cbrt x) (/ 1 x)) (/ (sqrt x) (* (cbrt (/ y x)) (cbrt (/ y x)))) (/ (sqrt x) (cbrt (/ y x))) (/ (sqrt x) (sqrt (/ y x))) (/ (sqrt x) (sqrt (/ y x))) (/ (sqrt x) (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (/ (sqrt x) (/ (cbrt y) (cbrt x))) (/ (sqrt x) (/ (* (cbrt y) (cbrt y)) (sqrt x))) (/ (sqrt x) (/ (cbrt y) (sqrt x))) (/ (sqrt x) (/ (* (cbrt y) (cbrt y)) 1)) (/ (sqrt x) (/ (cbrt y) x)) (/ (sqrt x) (/ (sqrt y) (* (cbrt x) (cbrt x)))) (/ (sqrt x) (/ (sqrt y) (cbrt x))) (/ (sqrt x) (/ (sqrt y) (sqrt x))) (/ (sqrt x) (/ (sqrt y) (sqrt x))) (/ (sqrt x) (/ (sqrt y) 1)) (/ (sqrt x) (/ (sqrt y) x)) (/ (sqrt x) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt x) (/ y (cbrt x))) (/ (sqrt x) (/ 1 (sqrt x))) (/ (sqrt x) (/ y (sqrt x))) (/ (sqrt x) (/ 1 1)) (/ (sqrt x) (/ y x)) (/ (sqrt x) 1) (/ (sqrt x) (/ y x)) (/ (sqrt x) y) (/ (sqrt x) (/ 1 x)) (/ 1 (* (cbrt (/ y x)) (cbrt (/ y x)))) (/ x (cbrt (/ y x))) (/ 1 (sqrt (/ y x))) (/ x (sqrt (/ y x))) (/ 1 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (/ x (/ (cbrt y) (cbrt x))) (/ 1 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (/ x (/ (cbrt y) 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(pow z 2) y))) (exp (- (+ y (/ x (/ y x))) (/ (pow z 2) y))) (* (cbrt (- (+ y (/ x (/ y x))) (/ (pow z 2) y))) (cbrt (- (+ y (/ x (/ y x))) (/ (pow z 2) y)))) (cbrt (- (+ y (/ x (/ y x))) (/ (pow z 2) y))) (* (* (- (+ y (/ x (/ y x))) (/ (pow z 2) y)) (- (+ y (/ x (/ y x))) (/ (pow z 2) y))) (- (+ y (/ x (/ y x))) (/ (pow z 2) y))) (sqrt (- (+ y (/ x (/ y x))) (/ (pow z 2) y))) (sqrt (- (+ y (/ x (/ y x))) (/ (pow z 2) y))) (- (* (+ (pow y 3) (pow (/ x (/ y x)) 3)) y) (* (+ (* y y) (- (* (/ x (/ y x)) (/ x (/ y x))) (* y (/ x (/ y x))))) (pow z 2))) (* (+ (* y y) (- (* (/ x (/ y x)) (/ x (/ y x))) (* y (/ x (/ y x))))) y) (- (* (- (* y y) (* (/ x (/ y x)) (/ x (/ y x)))) y) (* (- y (/ x (/ y x))) (pow z 2))) (* (- y (/ x (/ y x))) y) (- (pow (+ y (/ x (/ y x))) 3) (pow (/ (pow z 2) y) 3)) (+ (* (+ y (/ x (/ y x))) (+ y (/ x (/ y x)))) (+ (* (/ (pow z 2) y) (/ (pow z 2) y)) (* (+ y (/ x (/ y x))) (/ (pow z 2) y)))) (neg (/ (pow z 2) y)) (- (* (+ y (/ x (/ y x))) (+ y (/ x (/ y x)))) (* (/ (pow z 2) y) (/ (pow z 2) y))) (+ (+ y (/ x (/ y x))) (/ (pow z 2) y)) (+ (sqrt (+ y (/ x (/ y x)))) (sqrt (/ (pow z 2) y))) (- (sqrt (+ y (/ x (/ y x)))) (sqrt (/ (pow z 2) y))) (+ (sqrt (+ y (/ x (/ y x)))) (/ (pow (sqrt z) 2) (sqrt y))) (- (sqrt (+ y (/ x (/ y x)))) (/ (pow (sqrt z) 2) (sqrt y))) (+ (sqrt (+ y (/ x (/ y x)))) (/ z (sqrt y))) (- (sqrt (+ y (/ x (/ y x)))) (/ z (sqrt y))) (+ (sqrt (+ y (/ x (/ y x)))) (/ (sqrt (pow z 2)) (sqrt y))) (- (sqrt (+ y (/ x (/ y x)))) (/ (sqrt (pow z 2)) (sqrt y))) (+ (sqrt (+ y (/ x (/ y x)))) (/ (pow z (/ 2 2)) (sqrt y))) (- (sqrt (+ y (/ x (/ y x)))) (/ (pow z (/ 2 2)) (sqrt y))) (- (+ y (/ x (/ y x))) (/ (pow z 2) y)) (- (+ y (/ x (/ y x))) (/ (pow z 2) y)) (- (/ x (/ y x)) (/ (pow z 2) y)) (neg (/ (pow z 2) y)) (* (exp y) (exp (/ x (/ y x)))) (log (+ y (/ x (/ y x)))) (exp (+ y (/ x (/ y x)))) (* (cbrt (+ y (/ x (/ y x)))) (cbrt (+ y (/ x (/ y x))))) (cbrt (+ y (/ x (/ y x)))) (* (* (+ y (/ x (/ y x))) (+ y (/ x (/ y x)))) (+ y (/ x (/ y x)))) (sqrt (+ y (/ x (/ y x)))) (sqrt (+ y (/ x (/ y x)))) (+ (pow y 3) (pow (/ x (/ y x)) 3)) (+ (* y y) (- (* (/ x (/ y x)) (/ x (/ y x))) (* y (/ x (/ y x))))) (- (* y y) (* (/ x (/ y x)) (/ x (/ y x)))) (- y (/ x (/ y x))) (+ y (/ x (/ y x))) (/ (pow z 2) y) (/ (pow z 2) y) (/ (pow z 2) y) (/ (pow x 2) y) (/ (pow x 2) y) (/ (pow x 2) y) (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) (+ y (/ (pow x 2) y)) (+ y (/ (pow x 2) y)) (+ y (/ (pow x 2) y)) 2.064 * * [simplify]: iteration 0 : 605 enodes (cost 1049 ) 2.075 * * [simplify]: iteration 1 : 2708 enodes (cost 969 ) 2.121 * * [simplify]: iteration 2 : 5002 enodes (cost 963 ) 2.128 * [simplify]: Simplified to: (log (/ (pow z 2) y)) (log (/ (pow z 2) y)) (log (/ (pow z 2) y)) (log (/ (pow z 2) y)) (exp (/ (pow z 2) y)) (pow (/ (pow z 2) y) 3) (* (cbrt (/ (pow z 2) y)) (cbrt (/ (pow z 2) y))) (cbrt (/ (pow z 2) y)) (pow (/ (pow z 2) y) 3) (sqrt (/ (pow z 2) y)) (sqrt (/ (pow z 2) y)) (neg (pow z 2)) (neg y) (/ (pow (cbrt z) 4) (* (cbrt y) (cbrt y))) (/ (pow (cbrt z) 2) (cbrt y)) (/ (pow (cbrt z) 4) (sqrt y)) (/ (pow (cbrt z) 2) (sqrt y)) (pow (cbrt z) 4) (/ (pow (cbrt z) 2) y) (/ z (* (cbrt y) (cbrt y))) (/ z (cbrt y)) (/ z (sqrt y)) (/ z (sqrt y)) z (/ z y) (/ 1 (* (cbrt y) (cbrt y))) (/ (pow z 2) (cbrt y)) (/ 1 (sqrt y)) (/ (pow z 2) (sqrt y)) 1 (/ (pow z 2) y) (/ z (* (cbrt y) (cbrt y))) (/ z (cbrt y)) (/ z (sqrt y)) (/ z (sqrt y)) z (/ z y) (/ (* (cbrt (pow z 2)) (cbrt (pow z 2))) (* (cbrt y) (cbrt y))) (/ (cbrt (pow z 2)) (cbrt y)) (/ (* (cbrt (pow z 2)) (cbrt (pow z 2))) (sqrt y)) (/ (cbrt (pow z 2)) (sqrt y)) (* (cbrt (pow z 2)) (cbrt (pow z 2))) (/ (cbrt (pow z 2)) y) (/ (/ (fabs z) (cbrt y)) (cbrt y)) (/ (fabs z) (cbrt y)) (/ (fabs z) (sqrt y)) (/ (fabs z) (sqrt y)) (fabs z) (/ (fabs z) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (pow z 2) (cbrt y)) (/ 1 (sqrt y)) (/ (pow z 2) (sqrt y)) 1 (/ (pow z 2) y) (/ z (* (cbrt y) (cbrt y))) (/ z (cbrt y)) (/ z (sqrt y)) (/ z (sqrt y)) z (/ z y) (/ 1 y) (/ y (pow z 2)) (/ (pow z 2) (* (cbrt y) (cbrt y))) (/ (pow z 2) (sqrt y)) (pow z 2) (/ y (pow (cbrt z) 2)) (/ y z) (/ y (pow z 2)) (/ y z) (/ y (cbrt (pow z 2))) (/ y (fabs z)) (/ y (pow z 2)) (/ y z) (log (/ x (/ y x))) (log (/ x (/ y x))) (log (/ x (/ y x))) (exp (/ x (/ y x))) (pow (/ x (/ y x)) 3) (pow (/ x (/ y x)) 3) (* (cbrt (/ x (/ y x))) (cbrt (/ x (/ y x)))) (cbrt (/ x (/ y x))) (pow (/ x (/ y x)) 3) (sqrt (/ x (/ y x))) (sqrt (/ x (/ y x))) (neg x) (neg (/ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (/ y x)) (cbrt (/ y x)))) (/ (cbrt x) (cbrt (/ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (/ y x))) (/ (cbrt x) (sqrt (/ y x))) (* (/ (cbrt x) (cbrt y)) (/ (pow (cbrt x) 3) (cbrt y))) (/ (cbrt x) (/ (cbrt y) (cbrt x))) (/ (sqrt x) (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (/ (cbrt x) (/ (cbrt y) (sqrt x))) (/ (cbrt x) (/ (* (cbrt y) (cbrt y)) (cbrt x))) (/ x (/ (cbrt y) (cbrt x))) (* (/ (cbrt x) (sqrt y)) (/ (pow (cbrt x) 3) 1)) (/ (cbrt x) (/ (sqrt y) (cbrt x))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt y) (sqrt x))) (/ (cbrt x) (/ (sqrt y) (sqrt x))) (/ (cbrt x) (/ (sqrt y) (cbrt x))) (/ x (/ (sqrt y) (cbrt x))) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x))) (/ (* (cbrt x) (cbrt x)) y) (* (* (cbrt x) (cbrt x)) (sqrt x)) (/ (cbrt x) (/ y (sqrt x))) (* (cbrt x) (cbrt x)) (/ x (/ y (cbrt x))) (* (cbrt x) (cbrt x)) (/ x (/ y (cbrt x))) (/ (* (cbrt x) (cbrt x)) y) (* (cbrt x) x) (/ (sqrt x) (* (cbrt (/ y x)) (cbrt (/ y x)))) (/ (sqrt x) (cbrt (/ y x))) (/ (sqrt x) (sqrt (/ y x))) (/ (sqrt x) (sqrt (/ y x))) (/ (sqrt x) (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (/ (sqrt x) (/ (cbrt y) (cbrt x))) (/ x (* (cbrt y) (cbrt y))) (/ x (cbrt y)) (/ (sqrt x) (* (cbrt y) (cbrt y))) (/ x (/ (cbrt y) (sqrt x))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt y) (sqrt x))) (/ (sqrt x) (/ (sqrt y) (cbrt x))) (/ x (sqrt y)) (/ x (sqrt y)) (/ (sqrt x) (sqrt y)) (/ x (/ (sqrt y) (sqrt x))) (* (* (cbrt x) (cbrt x)) (sqrt x)) (/ (sqrt x) (/ y (cbrt x))) x (/ x y) (sqrt x) (/ x (/ y (sqrt x))) (sqrt x) (/ x (/ y (sqrt x))) (/ (sqrt x) y) (* (sqrt x) x) (/ 1 (* (cbrt (/ y x)) (cbrt (/ y x)))) (/ x (cbrt (/ y x))) (/ 1 (sqrt (/ y x))) (/ x (sqrt (/ y x))) (/ (cbrt x) (/ (* (cbrt y) (cbrt y)) (cbrt x))) (/ x (/ (cbrt y) (cbrt x))) (/ (sqrt x) (* (cbrt y) (cbrt y))) (/ x (/ (cbrt y) (sqrt x))) (/ 1 (* (cbrt y) (cbrt y))) (/ x (/ (cbrt y) x)) (/ (cbrt x) (/ (sqrt y) (cbrt x))) (/ x (/ (sqrt y) (cbrt x))) (/ (sqrt x) (sqrt y)) (/ x (/ (sqrt y) (sqrt x))) (/ 1 (sqrt y)) (/ x (/ (sqrt y) x)) (* (cbrt x) (cbrt x)) (/ x (/ y (cbrt x))) (sqrt x) (/ x (/ y (sqrt x))) 1 (/ x (/ y x)) 1 (/ x (/ y x)) (/ 1 y) (pow x 2) (/ x y) (/ (/ y x) x) (/ x (* (cbrt (/ y x)) (cbrt (/ y x)))) (/ x (sqrt (/ y x))) (/ x (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (/ x (/ (* (cbrt y) (cbrt y)) (sqrt x))) (/ x (* (cbrt y) (cbrt y))) (/ x (/ (sqrt y) (* (cbrt x) (cbrt x)))) (/ x (/ (sqrt y) (sqrt x))) (/ x (sqrt y)) (* x (* (cbrt x) (cbrt x))) (* (sqrt x) x) x x (/ x y) (/ (/ y x) (cbrt x)) (/ (/ y x) (sqrt x)) (/ (/ y x) x) (/ x y) (exp (- (+ y (/ x (/ y x))) (/ (pow z 2) y))) (exp (- (+ y (/ x (/ y x))) (/ (pow z 2) y))) (log (- (+ y (/ x (/ y x))) (/ (pow z 2) y))) (exp (- (+ y (/ x (/ y x))) (/ (pow z 2) y))) (* (cbrt (- (+ y (/ x (/ y x))) (/ (pow z 2) y))) (cbrt (- (+ y (/ x (/ y x))) (/ (pow z 2) y)))) (cbrt (- (+ y (/ x (/ y x))) (/ (pow z 2) y))) (pow (- (+ y (/ x (/ y x))) (/ (pow z 2) y)) 3) (sqrt (- (+ y (/ x (/ y x))) (/ (pow z 2) y))) (sqrt (- (+ y (/ x (/ y x))) (/ (pow z 2) y))) (+ (* (neg (pow z 2)) (+ (* (/ x (/ y x)) (- (/ x (/ y x)) y)) (* y y))) (* (+ (pow y 3) (pow (/ x (/ y x)) 3)) y)) (* y (+ (* (/ x (/ y x)) (- (/ x (/ y x)) y)) (* y y))) (- (* (- (* y y) (* (/ x (/ y x)) (/ x (/ y x)))) y) (* (- y (/ x (/ y x))) (pow z 2))) (* (- y (/ x (/ y x))) y) (- (pow (+ y (/ x (/ y x))) 3) (pow (/ (pow z 2) y) 3)) (+ (* (/ (pow z 2) y) (+ (/ (pow z 2) y) (+ y (/ x (/ y x))))) (* (+ y (/ x (/ y x))) (+ y (/ x (/ y x))))) (neg (/ (pow z 2) y)) (- (* (+ y (/ x (/ y x))) (+ y (/ x (/ y x)))) (* (/ (pow z 2) y) (/ (pow z 2) y))) (+ (+ y (/ x (/ y x))) (/ (pow z 2) y)) (+ (sqrt (+ y (/ x (/ y x)))) (sqrt (/ (pow z 2) y))) (- (sqrt (+ y (/ x (/ y x)))) (sqrt (/ (pow z 2) y))) (+ (sqrt (+ y (/ x (/ y x)))) (/ z (sqrt y))) (- (sqrt (+ y (/ x (/ y x)))) (/ z (sqrt y))) (+ (sqrt (+ y (/ x (/ y x)))) (/ z (sqrt y))) (- (sqrt (+ y (/ x (/ y x)))) (/ z (sqrt y))) (+ (sqrt (+ y (/ x (/ y x)))) (/ (sqrt (pow z 2)) (sqrt y))) (- (sqrt (+ y (/ x (/ y x)))) (/ (sqrt (pow z 2)) (sqrt y))) (+ (sqrt (+ y (/ x (/ y x)))) (/ z (sqrt y))) (- (sqrt (+ y (/ x (/ y x)))) (/ z (sqrt y))) (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) (- (/ x (/ y x)) (/ (pow z 2) y)) (neg (/ (pow z 2) y)) (exp (+ y (/ x (/ y x)))) (log (+ y (/ x (/ y x)))) (exp (+ y (/ x (/ y x)))) (* (cbrt (+ y (/ x (/ y x)))) (cbrt (+ y (/ x (/ y x))))) (cbrt (+ y (/ x (/ y x)))) (pow (+ y (/ x (/ y x))) 3) (sqrt (+ y (/ x (/ y x)))) (sqrt (+ y (/ x (/ y x)))) (+ (pow y 3) (pow (/ x (/ y x)) 3)) (+ (* (/ x (/ y x)) (- (/ x (/ y x)) y)) (* y y)) (- (* y y) (* (/ x (/ y x)) (/ x (/ y x)))) (- y (/ x (/ y x))) (+ y (/ (pow x 2) y)) (/ (pow z 2) y) (/ (pow z 2) y) (/ (pow z 2) y) (/ x (/ y x)) (/ x (/ y x)) (/ x (/ y x)) (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) (+ y (/ (pow x 2) y)) (+ y (/ (pow x 2) y)) (+ y (/ (pow x 2) y)) 2.129 * * * [progress]: adding candidates to table 3.393 * * [progress]: iteration 4 / 4 3.393 * * * [progress]: picking best candidate 3.422 * * * * [pick]: Picked # 3.422 * * * [progress]: localizing error 3.431 * * * [progress]: generating rewritten candidates 3.431 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 3.437 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 3.443 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 3.459 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 3.476 * * * [progress]: generating series expansions 3.476 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 3.476 * [approximate]: Approximating (/ (pow z 2) y) in (z y) around 0 3.477 * [taylor]: Taking taylor expansion of (/ (pow z 2) y) in y 3.478 * [taylor]: Taking taylor expansion of (/ (pow z 2) y) in y 3.479 * [taylor]: Taking taylor expansion of (/ (pow z 2) y) in y 3.481 * [taylor]: Taking taylor expansion of (/ (pow z 2) y) in y 3.482 * [approximate]: Approximating (/ y (pow z 2)) in (z y) around 0 3.483 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in y 3.484 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in y 3.486 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in y 3.488 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in y 3.488 * [approximate]: Approximating (* -1 (/ y (pow z 2))) in (z y) around 0 3.489 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow z 2))) in y 3.491 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow z 2))) in y 3.494 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow z 2))) in y 3.498 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow z 2))) in y 3.499 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 3.499 * [approximate]: Approximating (/ (pow x 2) y) in (x y) around 0 3.499 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in y 3.500 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in y 3.502 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in y 3.503 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in y 3.504 * [approximate]: Approximating (/ y (pow x 2)) in (x y) around 0 3.505 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in y 3.506 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in y 3.508 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in y 3.510 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in y 3.510 * [approximate]: Approximating (* -1 (/ y (pow x 2))) in (x y) around 0 3.511 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow x 2))) in y 3.513 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow x 2))) in y 3.516 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow x 2))) in y 3.524 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow x 2))) in y 3.524 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 3.524 * [approximate]: Approximating (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in (y x z) around 0 3.526 * [taylor]: Taking taylor expansion of (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in x 3.526 * [taylor]: Taking taylor expansion of (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in z 3.529 * [taylor]: Taking taylor expansion of (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in x 3.529 * [taylor]: Taking taylor expansion of (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in z 3.529 * [taylor]: Taking taylor expansion of (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in z 3.533 * [taylor]: Taking taylor expansion of (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in x 3.533 * [taylor]: Taking taylor expansion of (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in z 3.533 * [taylor]: Taking taylor expansion of (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in z 3.535 * [taylor]: Taking taylor expansion of (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in z 3.536 * [approximate]: Approximating (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in (y x z) around 0 3.539 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in x 3.540 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in x 3.541 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in x 3.542 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in z 3.542 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in z 3.544 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in x 3.546 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in z 3.546 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in z 3.546 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in z 3.548 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in x 3.550 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in z 3.551 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in z 3.551 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in z 3.552 * [approximate]: Approximating (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in (y x z) around 0 3.555 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in x 3.556 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in x 3.557 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in x 3.559 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in z 3.559 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in z 3.561 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in x 3.563 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in z 3.563 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in z 3.563 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in z 3.565 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in x 3.567 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in z 3.568 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in z 3.568 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in z 3.568 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 3.568 * [approximate]: Approximating (+ y (/ (pow x 2) y)) in (y x) around 0 3.569 * [taylor]: Taking taylor expansion of (+ y (/ (pow x 2) y)) in x 3.571 * [taylor]: Taking taylor expansion of (+ y (/ (pow x 2) y)) in x 3.573 * [taylor]: Taking taylor expansion of (+ y (/ (pow x 2) y)) in x 3.575 * [taylor]: Taking taylor expansion of (+ y (/ (pow x 2) y)) in x 3.579 * [taylor]: Taking taylor expansion of (+ y (/ (pow x 2) y)) in x 3.580 * [approximate]: Approximating (+ (/ y (pow x 2)) (/ 1 y)) in (y x) around 0 3.581 * [taylor]: Taking taylor expansion of (+ (/ y (pow x 2)) (/ 1 y)) in x 3.582 * [taylor]: Taking taylor expansion of (+ (/ y (pow x 2)) (/ 1 y)) in x 3.583 * [taylor]: Taking taylor expansion of (+ (/ y (pow x 2)) (/ 1 y)) in x 3.585 * [taylor]: Taking taylor expansion of (+ (/ y (pow x 2)) (/ 1 y)) in x 3.587 * [taylor]: Taking taylor expansion of (+ (/ y (pow x 2)) (/ 1 y)) in x 3.589 * [approximate]: Approximating (neg (+ (/ y (pow x 2)) (/ 1 y))) in (y x) around 0 3.591 * [taylor]: Taking taylor expansion of (neg (+ (/ y (pow x 2)) (/ 1 y))) in x 3.592 * [taylor]: Taking taylor expansion of (neg (+ (/ y (pow x 2)) (/ 1 y))) in x 3.593 * [taylor]: Taking taylor expansion of (neg (+ (/ y (pow x 2)) (/ 1 y))) in x 3.595 * [taylor]: Taking taylor expansion of (neg (+ (/ y (pow x 2)) (/ 1 y))) in x 3.599 * [taylor]: Taking taylor expansion of (neg (+ (/ y (pow x 2)) (/ 1 y))) in x 3.600 * * * [progress]: simplifying candidates 3.605 * [simplify]: Simplifying using # : (* z (/ z y)) (+ (log z) (- (log z) (log y))) (+ (log z) (log (/ z y))) (log (* z (/ z y))) (exp (* z (/ z y))) (* (* (* z z) z) (/ (* (* z z) z) (* (* y y) y))) (* (* (* z z) z) (* (* (/ z y) (/ z y)) (/ z y))) (* (cbrt (* z (/ z y))) (cbrt (* z (/ z y)))) (cbrt (* z (/ z y))) (* (* (* z (/ z y)) (* z (/ z y))) (* z (/ z y))) (sqrt (* z (/ z y))) (sqrt (* z (/ z y))) (* (sqrt z) (sqrt (/ z y))) (* (sqrt z) (sqrt (/ z y))) (* (sqrt z) (/ (sqrt z) (sqrt y))) (* (sqrt z) (/ (sqrt z) (sqrt y))) (* z (* (cbrt (/ z y)) (cbrt (/ z y)))) (* z (sqrt (/ z y))) (* z (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y)))) (* z (/ (* (cbrt z) (cbrt z)) (sqrt y))) (* z (/ (* (cbrt z) (cbrt z)) 1)) (* z (/ (sqrt z) (* (cbrt y) (cbrt y)))) (* z (/ (sqrt z) (sqrt y))) (* z (/ (sqrt z) 1)) (* z (/ 1 (* (cbrt y) (cbrt y)))) (* z (/ 1 (sqrt y))) (* z (/ 1 1)) (* z 1) (* z z) (* (cbrt z) (/ z y)) (* (sqrt z) (/ z y)) (* z (/ z y)) (* z z) (- (log x) (- (log y) (log x))) (- (log x) (log (/ y x))) (log (/ x (/ y x))) (exp (/ x (/ y x))) (/ (* (* x x) x) (/ (* (* y y) y) (* (* x x) x))) (/ (* (* x x) x) (* (* (/ y x) (/ y x)) (/ y x))) (* (cbrt (/ x (/ y x))) (cbrt (/ x (/ y x)))) (cbrt (/ x (/ y x))) (* (* (/ x (/ y x)) (/ x (/ y x))) (/ x (/ y x))) (sqrt (/ x (/ y x))) (sqrt (/ x (/ y x))) (neg x) (neg (/ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (/ y x)) (cbrt (/ y x)))) (/ (cbrt x) (cbrt (/ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (/ y x))) (/ (cbrt x) (sqrt (/ y x))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (/ (cbrt x) (/ (cbrt y) (cbrt x))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt y) (cbrt y)) (sqrt x))) (/ (cbrt x) (/ (cbrt y) (sqrt x))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt x) (/ (cbrt y) x)) (/ (* (cbrt x) (cbrt x)) (/ (sqrt y) (* (cbrt x) (cbrt x)))) (/ (cbrt x) (/ (sqrt y) (cbrt x))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt y) (sqrt x))) (/ (cbrt x) (/ (sqrt y) (sqrt x))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt y) 1)) (/ (cbrt x) (/ (sqrt y) x)) (/ (* (cbrt x) (cbrt x)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt x) (/ y (cbrt x))) (/ (* (cbrt x) (cbrt x)) (/ 1 (sqrt x))) (/ (cbrt x) (/ y (sqrt x))) (/ (* (cbrt x) (cbrt x)) (/ 1 1)) (/ (cbrt x) (/ y x)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (/ y x)) (/ (* (cbrt x) (cbrt x)) y) (/ (cbrt x) (/ 1 x)) (/ (sqrt x) (* (cbrt (/ y x)) (cbrt (/ y x)))) (/ (sqrt x) (cbrt (/ y x))) (/ (sqrt x) (sqrt (/ y x))) (/ (sqrt x) (sqrt (/ y x))) (/ (sqrt x) (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (/ (sqrt x) (/ (cbrt y) (cbrt x))) (/ (sqrt x) (/ (* (cbrt y) (cbrt y)) (sqrt x))) (/ (sqrt x) (/ (cbrt y) (sqrt x))) (/ (sqrt x) (/ (* (cbrt y) (cbrt y)) 1)) (/ (sqrt x) (/ (cbrt y) x)) (/ (sqrt x) (/ (sqrt y) (* (cbrt x) (cbrt x)))) (/ (sqrt x) (/ (sqrt y) (cbrt x))) (/ (sqrt x) (/ (sqrt y) (sqrt x))) (/ (sqrt x) (/ (sqrt y) (sqrt x))) (/ (sqrt x) (/ (sqrt y) 1)) (/ (sqrt x) (/ (sqrt y) x)) (/ (sqrt x) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt x) (/ y (cbrt x))) (/ (sqrt x) (/ 1 (sqrt x))) (/ (sqrt x) (/ y (sqrt x))) (/ (sqrt x) (/ 1 1)) (/ (sqrt x) (/ y x)) (/ (sqrt x) 1) (/ (sqrt x) (/ y x)) (/ (sqrt x) y) (/ (sqrt x) (/ 1 x)) (/ 1 (* (cbrt (/ y x)) (cbrt (/ y x)))) (/ x (cbrt (/ y x))) (/ 1 (sqrt (/ y x))) (/ x (sqrt (/ y x))) (/ 1 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (/ x (/ (cbrt y) (cbrt x))) (/ 1 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (/ x (/ (cbrt y) (sqrt x))) (/ 1 (/ (* (cbrt y) (cbrt y)) 1)) (/ x (/ (cbrt y) x)) (/ 1 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (/ x (/ (sqrt y) (cbrt x))) (/ 1 (/ (sqrt y) (sqrt x))) (/ x (/ (sqrt y) (sqrt x))) (/ 1 (/ (sqrt y) 1)) (/ x (/ (sqrt y) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ x (/ y (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ x (/ y (sqrt x))) (/ 1 (/ 1 1)) (/ x (/ y x)) (/ 1 1) (/ x (/ y x)) (/ 1 y) (/ x (/ 1 x)) (/ 1 (/ y x)) (/ (/ y x) x) (/ x (* (cbrt (/ y x)) (cbrt (/ y x)))) (/ x (sqrt (/ y x))) (/ x (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (/ x (/ (* (cbrt y) (cbrt y)) (sqrt x))) (/ x (/ (* (cbrt y) (cbrt y)) 1)) (/ x (/ (sqrt y) (* (cbrt x) (cbrt x)))) (/ x (/ (sqrt y) (sqrt x))) (/ x (/ (sqrt y) 1)) (/ x (/ 1 (* (cbrt x) (cbrt x)))) (/ x (/ 1 (sqrt x))) (/ x (/ 1 1)) (/ x 1) (/ x y) (/ (/ y x) (cbrt x)) (/ (/ y x) (sqrt x)) (/ (/ y x) x) (/ x y) (/ (* (exp y) (exp (/ x (/ y x)))) (exp (* z (/ z y)))) (/ (exp (+ y (/ x (/ y x)))) (exp (* z (/ z y)))) (log (- (+ y (/ x (/ y x))) (* z (/ z y)))) (exp (- (+ y (/ x (/ y x))) (* z (/ z y)))) (* (cbrt (- (+ y (/ x (/ y x))) (* z (/ z y)))) (cbrt (- (+ y (/ x (/ y x))) (* z (/ z y))))) (cbrt (- (+ y (/ x (/ y x))) (* z (/ z y)))) (* (* (- (+ y (/ x (/ y x))) (* z (/ z y))) (- (+ y (/ x (/ y x))) (* z (/ z y)))) (- (+ y (/ x (/ y x))) (* z (/ z y)))) (sqrt (- (+ y (/ x (/ y x))) (* z (/ z y)))) (sqrt (- (+ y (/ x (/ y x))) (* z (/ z y)))) (- (* (+ (pow y 3) (pow (/ x (/ y x)) 3)) y) (* (+ (* y y) (- (* (/ x (/ y x)) (/ x (/ y x))) (* y (/ x (/ y x))))) (* z z))) (* (+ (* y y) (- (* (/ x (/ y x)) (/ x (/ y x))) (* y (/ x (/ y x))))) y) (- (* (- (* y y) (* (/ x (/ y x)) (/ x (/ y x)))) y) (* (- y (/ x (/ y x))) (* z z))) (* (- y (/ x (/ y x))) y) (- (pow (+ y (/ x (/ y x))) 3) (pow (* z (/ z y)) 3)) (+ (* (+ y (/ x (/ y x))) (+ y (/ x (/ y x)))) (+ (* (* z (/ z y)) (* z (/ z y))) (* (+ y (/ x (/ y x))) (* z (/ z y))))) (neg (* z (/ z y))) (- (* (+ y (/ x (/ y x))) (+ y (/ x (/ y x)))) (* (* z (/ z y)) (* z (/ z y)))) (+ (+ y (/ x (/ y x))) (* z (/ z y))) (- (/ x (/ y x)) (* z (/ z y))) (neg (* z (/ z y))) (* (exp y) (exp (/ x (/ y x)))) (log (+ y (/ x (/ y x)))) (exp (+ y (/ x (/ y x)))) (* (cbrt (+ y (/ x (/ y x)))) (cbrt (+ y (/ x (/ y x))))) (cbrt (+ y (/ x (/ y x)))) (* (* (+ y (/ x (/ y x))) (+ y (/ x (/ y x)))) (+ y (/ x (/ y x)))) (sqrt (+ y (/ x (/ y x)))) (sqrt (+ y (/ x (/ y x)))) (+ (pow y 3) (pow (/ x (/ y x)) 3)) (+ (* y y) (- (* (/ x (/ y x)) (/ x (/ y x))) (* y (/ x (/ y x))))) (- (* y y) (* (/ x (/ y x)) (/ x (/ y x)))) (- y (/ x (/ y x))) (+ y (/ x (/ y x))) (/ (pow z 2) y) (/ (pow z 2) y) (/ (pow z 2) y) (/ (pow x 2) y) (/ (pow x 2) y) (/ (pow x 2) y) (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) (+ y (/ (pow x 2) y)) (+ y (/ (pow x 2) y)) (+ y (/ (pow x 2) y)) 3.612 * * [simplify]: iteration 0 : 599 enodes (cost 849 ) 3.624 * * [simplify]: iteration 1 : 2996 enodes (cost 786 ) 3.677 * * [simplify]: iteration 2 : 5001 enodes (cost 781 ) 3.682 * [simplify]: Simplified to: (* z (/ z y)) (log (* z (/ z y))) (log (* z (/ z y))) (log (* z (/ z y))) (exp (* z (/ z y))) (pow (* z (/ z y)) 3) (pow (* z (/ z y)) 3) (* (cbrt (* z (/ z y))) (cbrt (* z (/ z y)))) (cbrt (* z (/ z y))) (pow (* z (/ z y)) 3) (sqrt (* z (/ z y))) (sqrt (* z (/ z y))) (* (sqrt z) (sqrt (/ z y))) (* (sqrt z) (sqrt (/ z y))) (/ z (sqrt y)) (/ z (sqrt y)) (* z (* (cbrt (/ z y)) (cbrt (/ z y)))) (* z (sqrt (/ z y))) (* z (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y)))) (* z (/ (* (cbrt z) (cbrt z)) (sqrt y))) (* (* (cbrt z) (cbrt z)) z) (* z (/ (sqrt z) (* (cbrt y) (cbrt y)))) (* z (/ (sqrt z) (sqrt y))) (* (sqrt z) z) (/ z (* (cbrt y) (cbrt y))) (/ z (sqrt y)) z z (pow z 2) (* (cbrt z) (/ z y)) (* (sqrt z) (/ z y)) (* z (/ z y)) (pow z 2) (log (/ x (/ y x))) (log (/ x (/ y x))) (log (/ x (/ y x))) (exp (/ x (/ y x))) (pow (/ x (/ y x)) 3) (pow (/ x (/ y x)) 3) (* (cbrt (/ x (/ y x))) (cbrt (/ x (/ y x)))) (cbrt (/ x (/ y x))) (pow (/ x (/ y x)) 3) (sqrt (/ x (/ y x))) (sqrt (/ x (/ y x))) (neg x) (neg (/ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (/ y x)) (cbrt (/ y x)))) (/ (cbrt x) (cbrt (/ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (/ y x))) (/ (cbrt x) (sqrt (/ y x))) (* (/ (cbrt x) (cbrt y)) (/ (pow (cbrt x) 3) (cbrt y))) (/ (cbrt x) (/ (cbrt y) (cbrt x))) (/ (sqrt x) (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (/ (cbrt x) (/ (cbrt y) (sqrt x))) (/ (cbrt x) (/ (* (cbrt y) (cbrt y)) (cbrt x))) (/ x (/ (cbrt y) (cbrt x))) (* (/ (cbrt x) (sqrt y)) (/ (pow (cbrt x) 3) 1)) (/ (cbrt x) (/ (sqrt y) (cbrt x))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt y) (sqrt x))) (/ (cbrt x) (/ (sqrt y) (sqrt x))) (/ (cbrt x) (/ (sqrt y) (cbrt x))) (/ x (/ (sqrt y) (cbrt x))) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x))) (/ (* (cbrt x) (cbrt x)) y) (* (* (cbrt x) (cbrt x)) (sqrt x)) (/ (cbrt x) (/ y (sqrt x))) (* (cbrt x) (cbrt x)) (/ x (/ y (cbrt x))) (* (cbrt x) (cbrt x)) (/ x (/ y (cbrt x))) (/ (* (cbrt x) (cbrt x)) y) (* (cbrt x) x) (/ (sqrt x) (* (cbrt (/ y x)) (cbrt (/ y x)))) (/ (sqrt x) (cbrt (/ y x))) (/ (sqrt x) (sqrt (/ y x))) (/ (sqrt x) (sqrt (/ y x))) (/ (sqrt x) (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (/ (sqrt x) (/ (cbrt y) (cbrt x))) (/ x (* (cbrt y) (cbrt y))) (/ x (cbrt y)) (/ (sqrt x) (* (cbrt y) (cbrt y))) (/ x (/ (cbrt y) (sqrt x))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt y) (sqrt x))) (/ (sqrt x) (/ (sqrt y) (cbrt x))) (/ x (sqrt y)) (/ x (sqrt y)) (/ (sqrt x) (sqrt y)) (/ x (/ (sqrt y) (sqrt x))) (* (* (cbrt x) (cbrt x)) (sqrt x)) (/ (sqrt x) (/ y (cbrt x))) x (/ x y) (sqrt x) (/ x (/ y (sqrt x))) (sqrt x) (/ x (/ y (sqrt x))) (/ (sqrt x) y) (* (sqrt x) x) (/ 1 (* (cbrt (/ y x)) (cbrt (/ y x)))) (/ x (cbrt (/ y x))) (/ 1 (sqrt (/ y x))) (/ x (sqrt (/ y x))) (/ (cbrt x) (/ (* (cbrt y) (cbrt y)) (cbrt x))) (/ x (/ (cbrt y) (cbrt x))) (/ (sqrt x) (* (cbrt y) (cbrt y))) (/ x (/ (cbrt y) (sqrt x))) (/ 1 (* (cbrt y) (cbrt y))) (/ x (/ (cbrt y) x)) (/ (cbrt x) (/ (sqrt y) (cbrt x))) (/ x (/ (sqrt y) (cbrt x))) (/ (sqrt x) (sqrt y)) (/ x (/ (sqrt y) (sqrt x))) (/ 1 (sqrt y)) (/ x (/ (sqrt y) x)) (* (cbrt x) (cbrt x)) (/ x (/ y (cbrt x))) (sqrt x) (/ x (/ y (sqrt x))) 1 (/ x (/ y x)) 1 (/ x (/ y x)) (/ 1 y) (pow x 2) (/ x y) (/ (/ y x) x) (/ x (* (cbrt (/ y x)) (cbrt (/ y x)))) (/ x (sqrt (/ y x))) (/ x (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (/ x (/ (* (cbrt y) (cbrt y)) (sqrt x))) (/ x (* (cbrt y) (cbrt y))) (/ x (/ (sqrt y) (* (cbrt x) (cbrt x)))) (/ x (/ (sqrt y) (sqrt x))) (/ x (sqrt y)) (* x (* (cbrt x) (cbrt x))) (* (sqrt x) x) x x (/ x y) (/ (/ y x) (cbrt x)) (/ (/ y x) (sqrt x)) (/ (/ y x) x) (/ x y) (exp (- (+ y (/ x (/ y x))) (* z (/ z y)))) (exp (- (+ y (/ x (/ y x))) (* z (/ z y)))) (log (- (+ y (/ x (/ y x))) (* z (/ z y)))) (exp (- (+ y (/ x (/ y x))) (* z (/ z y)))) (* (cbrt (- (+ y (/ x (/ y x))) (* z (/ z y)))) (cbrt (- (+ y (/ x (/ y x))) (* z (/ z y))))) (cbrt (- (+ y (/ x (/ y x))) (* z (/ z y)))) (pow (- (+ y (/ x (/ y x))) (* z (/ z y))) 3) (sqrt (- (+ y (/ x (/ y x))) (* z (/ z y)))) (sqrt (- (+ y (/ x (/ y x))) (* z (/ z y)))) (+ (* (neg (+ (* (/ x (/ y x)) (- (/ x (/ y x)) y)) (* y y))) (pow z 2)) (* (+ (pow y 3) (pow (/ x (/ y x)) 3)) y)) (* y (+ (* (/ x (/ y x)) (- (/ x (/ y x)) y)) (* y y))) (- (* (- (* y y) (* (/ x (/ y x)) (/ x (/ y x)))) y) (* (- y (/ x (/ y x))) (* z z))) (* (- y (/ x (/ y x))) y) (- (pow (+ y (/ x (/ y x))) 3) (pow (* z (/ z y)) 3)) (+ (* (* z (/ z y)) (+ (* z (/ z y)) (+ y (/ x (/ y x))))) (* (+ y (/ x (/ y x))) (+ y (/ x (/ y x))))) (neg (* z (/ z y))) (- (* (+ y (/ x (/ y x))) (+ y (/ x (/ y x)))) (* (* z (/ z y)) (* z (/ z y)))) (+ (+ y (/ x (/ y x))) (* z (/ z y))) (- (/ x (/ y x)) (* z (/ z y))) (neg (* z (/ z y))) (exp (+ y (/ x (/ y x)))) (log (+ y (/ x (/ y x)))) (exp (+ y (/ x (/ y x)))) (* (cbrt (+ y (/ x (/ y x)))) (cbrt (+ y (/ x (/ y x))))) (cbrt (+ y (/ x (/ y x)))) (pow (+ y (/ x (/ y x))) 3) (sqrt (+ y (/ x (/ y x)))) (sqrt (+ y (/ x (/ y x)))) (+ (pow y 3) (pow (/ x (/ y x)) 3)) (+ (* (/ x (/ y x)) (- (/ x (/ y x)) y)) (* y y)) (- (* y y) (* (/ x (/ y x)) (/ x (/ y x)))) (- y (/ x (/ y x))) (+ y (/ (pow x 2) y)) (* z (/ z y)) (* z (/ z y)) (* z (/ z y)) (/ x (/ y x)) (/ x (/ y x)) (/ x (/ y x)) (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) (+ y (/ (pow x 2) y)) (+ y (/ (pow x 2) y)) (+ y (/ (pow x 2) y)) 3.683 * * * [progress]: adding candidates to table 4.725 * [progress]: [Phase 3 of 3] Extracting. 4.725 * * [regime]: Finding splitpoints for: (# # # # # # #) 4.727 * * * [regime-changes]: Trying 5 branch expressions: ((* z z) (* x x) z y x) 4.727 * * * * [regimes]: Trying to branch on (* z z) from (# # # # # # #) 4.789 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # # #) 4.851 * * * * [regimes]: Trying to branch on (* x x) from (# #) 4.891 * * * * [regimes]: Trying to branch on z from (# # # # # # #) 4.955 * * * * [regimes]: Trying to branch on y from (# # # # # # #) 5.019 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 5.083 * * * [regime]: Found split indices: #