18.118 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.028 * * * [progress]: [2/2] Setting up program. 0.030 * [progress]: [Phase 2 of 3] Improving. 0.030 * [simplify]: Simplifying using # : (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) 0.033 * * [simplify]: iteration 0 : 24 enodes (cost 7 ) 0.034 * * [simplify]: iteration 1 : 42 enodes (cost 7 ) 0.036 * * [simplify]: iteration 2 : 54 enodes (cost 7 ) 0.037 * * [simplify]: iteration 3 : 54 enodes (cost 7 ) 0.038 * [simplify]: Simplified to: (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) 0.038 * * [progress]: iteration 1 / 4 0.038 * * * [progress]: picking best candidate 0.040 * * * * [pick]: Picked # 0.040 * * * [progress]: localizing error 0.049 * * * [progress]: generating rewritten candidates 0.049 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.054 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.060 * * * [progress]: generating series expansions 0.060 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.060 * [approximate]: Taking taylor expansion of (/ (pow z 2) (pow t 2)) in (z t) around 0 0.060 * [taylor]: Taking taylor expansion of (/ (pow z 2) (pow t 2)) in t 0.060 * [taylor]: Taking taylor expansion of (pow z 2) in t 0.060 * [taylor]: Taking taylor expansion of z in t 0.060 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.060 * [taylor]: Taking taylor expansion of t in t 0.060 * [taylor]: Taking taylor expansion of (/ (pow z 2) (pow t 2)) in z 0.061 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.061 * [taylor]: Taking taylor expansion of z in z 0.061 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.061 * [taylor]: Taking taylor expansion of t in z 0.061 * [taylor]: Taking taylor expansion of (/ (pow z 2) (pow t 2)) in z 0.061 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.061 * [taylor]: Taking taylor expansion of z in z 0.061 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.061 * [taylor]: Taking taylor expansion of t in z 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow t 2)) in t 0.061 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.062 * [taylor]: Taking taylor expansion of t in t 0.063 * [taylor]: Taking taylor expansion of 0 in t 0.065 * [taylor]: Taking taylor expansion of 0 in t 0.067 * [taylor]: Taking taylor expansion of 0 in t 0.070 * [taylor]: Taking taylor expansion of 0 in t 0.073 * [approximate]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in (z t) around 0 0.073 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in t 0.073 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.073 * [taylor]: Taking taylor expansion of t in t 0.073 * [taylor]: Taking taylor expansion of (pow z 2) in t 0.073 * [taylor]: Taking taylor expansion of z in t 0.074 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in z 0.074 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.074 * [taylor]: Taking taylor expansion of t in z 0.074 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.074 * [taylor]: Taking taylor expansion of z in z 0.074 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in z 0.074 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.074 * [taylor]: Taking taylor expansion of t in z 0.074 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.074 * [taylor]: Taking taylor expansion of z in z 0.074 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.074 * [taylor]: Taking taylor expansion of t in t 0.076 * [taylor]: Taking taylor expansion of 0 in t 0.078 * [taylor]: Taking taylor expansion of 0 in t 0.080 * [taylor]: Taking taylor expansion of 0 in t 0.081 * [approximate]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in (z t) around 0 0.081 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in t 0.081 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.081 * [taylor]: Taking taylor expansion of t in t 0.081 * [taylor]: Taking taylor expansion of (pow z 2) in t 0.081 * [taylor]: Taking taylor expansion of z in t 0.081 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in z 0.081 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.081 * [taylor]: Taking taylor expansion of t in z 0.081 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.081 * [taylor]: Taking taylor expansion of z in z 0.082 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in z 0.082 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.082 * [taylor]: Taking taylor expansion of t in z 0.082 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.082 * [taylor]: Taking taylor expansion of z in z 0.082 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.082 * [taylor]: Taking taylor expansion of t in t 0.083 * [taylor]: Taking taylor expansion of 0 in t 0.085 * [taylor]: Taking taylor expansion of 0 in t 0.088 * [taylor]: Taking taylor expansion of 0 in t 0.088 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.088 * [approximate]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in (x y) around 0 0.088 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in y 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.088 * [taylor]: Taking taylor expansion of x in y 0.088 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.088 * [taylor]: Taking taylor expansion of y in y 0.089 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in x 0.089 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in x 0.089 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.090 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.091 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.095 * [taylor]: Taking taylor expansion of 0 in y 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.098 * [approximate]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in (x y) around 0 0.098 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in y 0.098 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.098 * [taylor]: Taking taylor expansion of y in y 0.098 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.098 * [taylor]: Taking taylor expansion of x in y 0.098 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.098 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.098 * [taylor]: Taking taylor expansion of y in x 0.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.099 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.099 * [taylor]: Taking taylor expansion of y in x 0.099 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.099 * [taylor]: Taking taylor expansion of y in y 0.101 * [taylor]: Taking taylor expansion of 0 in y 0.103 * [taylor]: Taking taylor expansion of 0 in y 0.105 * [taylor]: Taking taylor expansion of 0 in y 0.106 * [approximate]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in (x y) around 0 0.106 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in y 0.106 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.106 * [taylor]: Taking taylor expansion of y in y 0.106 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.106 * [taylor]: Taking taylor expansion of x in y 0.106 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.106 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.106 * [taylor]: Taking taylor expansion of y in x 0.106 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.107 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.107 * [taylor]: Taking taylor expansion of y in x 0.107 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.107 * [taylor]: Taking taylor expansion of y in y 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.110 * [taylor]: Taking taylor expansion of 0 in y 0.113 * [taylor]: Taking taylor expansion of 0 in y 0.113 * * * [progress]: simplifying candidates 0.114 * [simplify]: Simplifying using # : (- (+ (log z) (log z)) (+ (log t) (log t))) (- (+ (log z) (log z)) (log (* t t))) (- (log (* z z)) (+ (log t) (log t))) (- (log (* z z)) (log (* t t))) (log (/ (* z z) (* t t))) (exp (/ (* z z) (* t t))) (/ (* (* (* z z) z) (* (* z z) z)) (* (* (* t t) t) (* (* t t) t))) (/ (* (* (* z z) z) (* (* z z) z)) (* (* (* t t) (* t t)) (* t t))) (/ (* (* (* z z) (* z z)) (* z z)) (* (* (* t t) t) (* (* t t) t))) (/ (* (* (* z z) (* z z)) (* z z)) (* (* (* t t) (* t t)) (* t t))) (* (cbrt (/ (* z z) (* t t))) (cbrt (/ (* z z) (* t t)))) (cbrt (/ (* z z) (* t t))) (* (* (/ (* z z) (* t t)) (/ (* z z) (* t t))) (/ (* z z) (* t t))) (sqrt (/ (* z z) (* t t))) (sqrt (/ (* z z) (* t t))) (- (* z z)) (- (* t t)) (/ z t) (/ z t) (/ 1 (* t t)) (/ (* t t) (* z z)) (/ (* z z) t) (/ (* t t) z) (- (+ (log x) (log x)) (+ (log y) (log y))) (- (+ (log x) (log x)) (log (* y y))) (- (log (* x x)) (+ (log y) (log y))) (- (log (* x x)) (log (* y y))) (log (/ (* x x) (* y y))) (exp (/ (* x x) (* y y))) (/ (* (* (* x x) x) (* (* x x) x)) (* (* (* y y) y) (* (* y y) y))) (/ (* (* (* x x) x) (* (* x x) x)) (* (* (* y y) (* y y)) (* y y))) (/ (* (* (* x x) (* x x)) (* x x)) (* (* (* y y) y) (* (* y y) y))) (/ (* (* (* x x) (* x x)) (* x x)) (* (* (* y y) (* y y)) (* 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))) (- (* x x)) (- (* y y)) (/ x y) (/ x y) (/ 1 (* y y)) (/ (* y y) (* x x)) (/ (* x x) y) (/ (* y y) x) (/ (pow z 2) (pow t 2)) (/ (pow z 2) (pow t 2)) (/ (pow z 2) (pow t 2)) (/ (pow x 2) (pow y 2)) (/ (pow x 2) (pow y 2)) (/ (pow x 2) (pow y 2)) 0.118 * * [simplify]: iteration 0 : 285 enodes (cost 248 ) 0.124 * * [simplify]: iteration 1 : 1335 enodes (cost 170 ) 0.143 * * [simplify]: iteration 2 : 5001 enodes (cost 160 ) 0.144 * [simplify]: Simplified to: (* 2 (log (/ z t))) (* 2 (log (/ z t))) (* 2 (log (/ z t))) (* 2 (log (/ z t))) (* 2 (log (/ z t))) (exp (/ (* z z) (* t t))) (pow (/ (* z z) (* t t)) 3) (pow (/ (* z z) (* t t)) 3) (pow (/ (* z z) (* t t)) 3) (pow (/ (* z z) (* t t)) 3) (* (cbrt (/ (* z z) (* t t))) (cbrt (/ (* z z) (* t t)))) (cbrt (/ (* z z) (* t t))) (pow (/ (* z z) (* t t)) 3) (fabs (/ z t)) (fabs (/ z t)) (- (* z z)) (- (* t t)) (/ z t) (/ z t) (/ 1 (* t t)) (/ (* t t) (* z z)) (/ (* z z) t) (/ (* t t) z) (* 2 (log (/ x y))) (* 2 (log (/ x y))) (* 2 (log (/ x y))) (* 2 (log (/ x y))) (* 2 (log (/ x y))) (exp (/ (* x x) (* y y))) (pow (/ (* x x) (* y y)) 3) (pow (/ (* x x) (* y y)) 3) (pow (/ (* x x) (* y y)) 3) (pow (/ (* x x) (* y y)) 3) (* (cbrt (/ (* x x) (* y y))) (cbrt (/ (* x x) (* y y)))) (cbrt (/ (* x x) (* y y))) (pow (/ (* x x) (* y y)) 3) (fabs (/ x y)) (fabs (/ x y)) (- (* x x)) (- (* y y)) (/ x y) (/ x y) (/ 1 (* y y)) (/ (* y y) (* x x)) (/ (* x x) y) (/ (* y y) x) (/ (* z z) (* t t)) (/ (* z z) (* t t)) (/ (* z z) (* t t)) (/ (* x x) (* y y)) (/ (* x x) (* y y)) (/ (* x x) (* y y)) 0.144 * * * [progress]: adding candidates to table 0.221 * * [progress]: iteration 2 / 4 0.221 * * * [progress]: picking best candidate 0.239 * * * * [pick]: Picked # 0.239 * * * [progress]: localizing error 0.247 * * * [progress]: generating rewritten candidates 0.247 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.252 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.269 * * * [progress]: generating series expansions 0.269 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.269 * [approximate]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in (x y) around 0 0.270 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in y 0.270 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.270 * [taylor]: Taking taylor expansion of x in y 0.270 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.270 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in x 0.270 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.270 * [taylor]: Taking taylor expansion of y in x 0.271 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in x 0.271 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.271 * [taylor]: Taking taylor expansion of y in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.271 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.271 * [taylor]: Taking taylor expansion of y in y 0.272 * [taylor]: Taking taylor expansion of 0 in y 0.274 * [taylor]: Taking taylor expansion of 0 in y 0.276 * [taylor]: Taking taylor expansion of 0 in y 0.279 * [taylor]: Taking taylor expansion of 0 in y 0.279 * [approximate]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in (x y) around 0 0.279 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in y 0.279 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.279 * [taylor]: Taking taylor expansion of y in y 0.279 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.279 * [taylor]: Taking taylor expansion of x in y 0.280 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.280 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.280 * [taylor]: Taking taylor expansion of y in x 0.280 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.280 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.280 * [taylor]: Taking taylor expansion of y in x 0.280 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.281 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.281 * [taylor]: Taking taylor expansion of y in y 0.282 * [taylor]: Taking taylor expansion of 0 in y 0.284 * [taylor]: Taking taylor expansion of 0 in y 0.287 * [taylor]: Taking taylor expansion of 0 in y 0.290 * [approximate]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in (x y) around 0 0.290 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in y 0.290 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.290 * [taylor]: Taking taylor expansion of y in y 0.290 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.290 * [taylor]: Taking taylor expansion of x in y 0.291 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.291 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.291 * [taylor]: Taking taylor expansion of y in x 0.291 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.291 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.292 * [taylor]: Taking taylor expansion of y in x 0.292 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.292 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.292 * [taylor]: Taking taylor expansion of y in y 0.293 * [taylor]: Taking taylor expansion of 0 in y 0.296 * [taylor]: Taking taylor expansion of 0 in y 0.299 * [taylor]: Taking taylor expansion of 0 in y 0.299 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.299 * [approximate]: Taking taylor expansion of (/ (pow z 2) (pow t 2)) in (z t) around 0 0.299 * [taylor]: Taking taylor expansion of (/ (pow z 2) (pow t 2)) in t 0.299 * [taylor]: Taking taylor expansion of (pow z 2) in t 0.299 * [taylor]: Taking taylor expansion of z in t 0.299 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.299 * [taylor]: Taking taylor expansion of t in t 0.299 * [taylor]: Taking taylor expansion of (/ (pow z 2) (pow t 2)) in z 0.299 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.299 * [taylor]: Taking taylor expansion of z in z 0.299 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.299 * [taylor]: Taking taylor expansion of t in z 0.300 * [taylor]: Taking taylor expansion of (/ (pow z 2) (pow t 2)) in z 0.300 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.300 * [taylor]: Taking taylor expansion of z in z 0.300 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.300 * [taylor]: Taking taylor expansion of t in z 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow t 2)) in t 0.300 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.300 * [taylor]: Taking taylor expansion of t in t 0.301 * [taylor]: Taking taylor expansion of 0 in t 0.303 * [taylor]: Taking taylor expansion of 0 in t 0.306 * [taylor]: Taking taylor expansion of 0 in t 0.309 * [taylor]: Taking taylor expansion of 0 in t 0.309 * [approximate]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in (z t) around 0 0.309 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in t 0.309 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.309 * [taylor]: Taking taylor expansion of t in t 0.309 * [taylor]: Taking taylor expansion of (pow z 2) in t 0.309 * [taylor]: Taking taylor expansion of z in t 0.310 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in z 0.310 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.310 * [taylor]: Taking taylor expansion of t in z 0.310 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.310 * [taylor]: Taking taylor expansion of z in z 0.310 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in z 0.310 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.310 * [taylor]: Taking taylor expansion of t in z 0.310 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.310 * [taylor]: Taking taylor expansion of z in z 0.311 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.311 * [taylor]: Taking taylor expansion of t in t 0.312 * [taylor]: Taking taylor expansion of 0 in t 0.314 * [taylor]: Taking taylor expansion of 0 in t 0.317 * [taylor]: Taking taylor expansion of 0 in t 0.317 * [approximate]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in (z t) around 0 0.317 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in t 0.317 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.317 * [taylor]: Taking taylor expansion of t in t 0.317 * [taylor]: Taking taylor expansion of (pow z 2) in t 0.317 * [taylor]: Taking taylor expansion of z in t 0.317 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in z 0.317 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.317 * [taylor]: Taking taylor expansion of t in z 0.317 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.317 * [taylor]: Taking taylor expansion of z in z 0.318 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in z 0.318 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.318 * [taylor]: Taking taylor expansion of t in z 0.318 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.318 * [taylor]: Taking taylor expansion of z in z 0.318 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.318 * [taylor]: Taking taylor expansion of t in t 0.320 * [taylor]: Taking taylor expansion of 0 in t 0.322 * [taylor]: Taking taylor expansion of 0 in t 0.324 * [taylor]: Taking taylor expansion of 0 in t 0.325 * * * [progress]: simplifying candidates 0.326 * [simplify]: Simplifying using # : (- (+ (log x) (log x)) (+ (log y) (log y))) (- (+ (log x) (log x)) (log (* y y))) (- (log (* x x)) (+ (log y) (log y))) (- (log (* x x)) (log (* y y))) (log (/ (* x x) (* y y))) (exp (/ (* x x) (* y y))) (/ (* (* (* x x) x) (* (* x x) x)) (* (* (* y y) y) (* (* y y) y))) (/ (* (* (* x x) x) (* (* x x) x)) (* (* (* y y) (* y y)) (* y y))) (/ (* (* (* x x) (* x x)) (* x x)) (* (* (* y y) y) (* (* y y) y))) (/ (* (* (* x x) (* x x)) (* x x)) (* (* (* y y) (* y y)) (* 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))) (- (* x x)) (- (* y y)) (/ x y) (/ x y) (/ 1 (* y y)) (/ (* y y) (* x x)) (/ (* x x) y) (/ (* y y) x) (+ 1 1) (* (/ z t) (/ z t)) (+ 1 1) (+ (- (log z) (log t)) (- (log z) (log t))) (+ (- (log z) (log t)) (log (/ z t))) (+ (log (/ z t)) (- (log z) (log t))) (+ (log (/ z t)) (log (/ z t))) (log (* (/ z t) (/ z t))) (exp (* (/ z t) (/ z t))) (* (/ (* (* z z) z) (* (* t t) t)) (/ (* (* z z) z) (* (* t t) t))) (* (/ (* (* z z) z) (* (* t t) t)) (* (* (/ z t) (/ z t)) (/ z t))) (* (* (* (/ z t) (/ z t)) (/ z t)) (/ (* (* z z) z) (* (* t t) t))) (* (* (* (/ z t) (/ z t)) (/ z t)) (* (* (/ z t) (/ z t)) (/ z t))) (* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t)))) (cbrt (* (/ z t) (/ z t))) (* (* (* (/ z t) (/ z t)) (* (/ z t) (/ z t))) (* (/ z t) (/ z t))) (sqrt (* (/ z t) (/ z t))) (sqrt (* (/ z t) (/ z t))) (* z z) (* t t) (* (* (cbrt (/ z t)) (cbrt (/ z t))) (* (cbrt (/ z t)) (cbrt (/ z t)))) (* (cbrt (/ z t)) (cbrt (/ z t))) (* (sqrt (/ z t)) (sqrt (/ z t))) (* (sqrt (/ z t)) (sqrt (/ z t))) (* (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))) (* (/ (cbrt z) (cbrt t)) (/ (cbrt z) (cbrt t))) (* (/ (* (cbrt z) (cbrt z)) (sqrt t)) (/ (* (cbrt z) (cbrt z)) (sqrt t))) (* (/ (cbrt z) (sqrt t)) (/ (cbrt z) (sqrt t))) (* (/ (* (cbrt z) (cbrt z)) 1) (/ (* (cbrt z) (cbrt z)) 1)) (* (/ (cbrt z) t) (/ (cbrt z) t)) (* (/ (sqrt z) (* (cbrt t) (cbrt t))) (/ (sqrt z) (* (cbrt t) (cbrt t)))) (* (/ (sqrt z) (cbrt t)) (/ (sqrt z) (cbrt t))) (* (/ (sqrt z) (sqrt t)) (/ (sqrt z) (sqrt t))) (* (/ (sqrt z) (sqrt t)) (/ (sqrt z) (sqrt t))) (* (/ (sqrt z) 1) (/ (sqrt z) 1)) (* (/ (sqrt z) t) (/ (sqrt z) t)) (* (/ 1 (* (cbrt t) (cbrt t))) (/ 1 (* (cbrt t) (cbrt t)))) (* (/ z (cbrt t)) (/ z (cbrt t))) (* (/ 1 (sqrt t)) (/ 1 (sqrt t))) (* (/ z (sqrt t)) (/ z (sqrt t))) (* (/ 1 1) (/ 1 1)) (* (/ z t) (/ z t)) (* 1 1) (* (/ z t) (/ z t)) (* z z) (* (/ 1 t) (/ 1 t)) (* (sqrt (/ z t)) (sqrt (/ z t))) (* (sqrt (/ z t)) (sqrt (/ z t))) (* (sqrt (/ z t)) (/ (sqrt z) (sqrt t))) (* (sqrt (/ z t)) (/ (sqrt z) (sqrt t))) (* (/ (sqrt z) (sqrt t)) (sqrt (/ z t))) (* (/ (sqrt z) (sqrt t)) (sqrt (/ z t))) (* (/ (sqrt z) (sqrt t)) (/ (sqrt z) (sqrt t))) (* (/ (sqrt z) (sqrt t)) (/ (sqrt z) (sqrt t))) (* 2 1) (* (/ z t) (* (cbrt (/ z t)) (cbrt (/ z t)))) (* (/ z t) (sqrt (/ z t))) (* (/ z t) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))) (* (/ z t) (/ (* (cbrt z) (cbrt z)) (sqrt t))) (* (/ z t) (/ (* (cbrt z) (cbrt z)) 1)) (* (/ z t) (/ (sqrt z) (* (cbrt t) (cbrt t)))) (* (/ z t) (/ (sqrt z) (sqrt t))) (* (/ z t) (/ (sqrt z) 1)) (* (/ z t) (/ 1 (* (cbrt t) (cbrt t)))) (* (/ z t) (/ 1 (sqrt t))) (* (/ z t) (/ 1 1)) (* (/ z t) 1) (* (/ z t) z) (* (cbrt (/ z t)) (/ z t)) (* (sqrt (/ z t)) (/ z t)) (* (/ (cbrt z) (cbrt t)) (/ z t)) (* (/ (cbrt z) (sqrt t)) (/ z t)) (* (/ (cbrt z) t) (/ z t)) (* (/ (sqrt z) (cbrt t)) (/ z t)) (* (/ (sqrt z) (sqrt t)) (/ z t)) (* (/ (sqrt z) t) (/ z t)) (* (/ z (cbrt t)) (/ z t)) (* (/ z (sqrt t)) (/ z t)) (* (/ z t) (/ z t)) (* (/ z t) (/ z t)) (* (/ 1 t) (/ z t)) (* (/ z t) z) (* z (/ z t)) (/ (pow x 2) (pow y 2)) (/ (pow x 2) (pow y 2)) (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)) (/ (pow z 2) (pow t 2)) (/ (pow z 2) (pow t 2)) 0.331 * * [simplify]: iteration 0 : 482 enodes (cost 529 ) 0.341 * * [simplify]: iteration 1 : 2387 enodes (cost 434 ) 0.380 * * [simplify]: iteration 2 : 5001 enodes (cost 394 ) 0.382 * [simplify]: Simplified to: (log (/ (* x x) (* y y))) (log (/ (* x x) (* y y))) (log (/ (* x x) (* y y))) (log (/ (* x x) (* y y))) (log (/ (* x x) (* y y))) (exp (/ (* x x) (* y y))) (pow (/ (* x x) (* y y)) 3) (pow (/ (* x x) (* y y)) 3) (pow (/ (* x x) (* y y)) 3) (pow (/ (* x x) (* y y)) 3) (* (cbrt (/ (* x x) (* y y))) (cbrt (/ (* x x) (* y y)))) (cbrt (/ (* x x) (* y y))) (pow (/ (* x x) (* y y)) 3) (fabs (/ x y)) (fabs (/ x y)) (- (* x x)) (- (* y y)) (/ x y) (/ x y) (/ 1 (* y y)) (/ (* y y) (* x x)) (/ (* x x) y) (/ (* y y) x) 2 (/ (pow z 2) (pow t 2)) 2 (* 2 (log (/ z t))) (* 2 (log (/ z t))) (* 2 (log (/ z t))) (* 2 (log (/ z t))) (* 2 (log (/ z t))) (exp (* (/ z t) (/ z t))) (pow (* (/ z t) (/ z t)) 3) (pow (* (/ z t) (/ z t)) 3) (pow (* (/ z t) (/ z t)) 3) (pow (* (/ z t) (/ z t)) 3) (* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t)))) (cbrt (* (/ z t) (/ z t))) (pow (* (/ z t) (/ z t)) 3) (fabs (/ z t)) (fabs (/ z t)) (pow z 2) (pow t 2) (pow (cbrt (/ z t)) 4) (* (cbrt (/ z t)) (cbrt (/ z t))) (/ z t) (/ z t) (* (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))) (* (/ (* (cbrt z) (cbrt z)) (sqrt t)) (/ (* (cbrt z) (cbrt z)) (sqrt t))) (* (cbrt z) (/ (cbrt z) t)) (* (/ (cbrt z) 1) (/ (pow (cbrt z) 3) 1)) (* (/ (cbrt z) t) (/ (cbrt z) t)) (/ (/ (/ z (* (cbrt t) (cbrt t))) (cbrt t)) (cbrt t)) (/ z (* (cbrt t) (cbrt t))) (/ z t) (/ z t) z (/ (/ z t) t) (/ (/ 1 (* (cbrt t) (cbrt t))) (* (cbrt t) (cbrt t))) (* (/ z (cbrt t)) (/ z (cbrt t))) (/ 1 t) (* z (/ z t)) 1 (/ (pow z 2) (pow t 2)) 1 (/ (pow z 2) (pow t 2)) (pow z 2) (/ (/ 1 t) t) (/ z t) (/ z t) (* (sqrt (/ z t)) (/ (sqrt z) (sqrt t))) (* (sqrt (/ z t)) (/ (sqrt z) (sqrt t))) (* (sqrt (/ z t)) (/ (sqrt z) (sqrt t))) (* (sqrt (/ z t)) (/ (sqrt z) (sqrt t))) (/ z t) (/ z t) 2 (* (/ z t) (* (cbrt (/ z t)) (cbrt (/ z t)))) (pow (sqrt (/ z t)) 3) (* (/ z t) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))) (* (/ z t) (/ (* (cbrt z) (cbrt z)) (sqrt t))) (/ (* z (* (cbrt z) (cbrt z))) t) (* (/ z t) (/ (sqrt z) (* (cbrt t) (cbrt t)))) (* (/ z t) (/ (sqrt z) (sqrt t))) (/ (* z (sqrt z)) t) (/ (/ z t) (* (cbrt t) (cbrt t))) (/ (/ z t) (sqrt t)) (/ z t) (/ z t) (* z (/ z t)) (pow (cbrt (/ z t)) 4) (pow (sqrt (/ z t)) 3) (* (/ (cbrt z) (cbrt t)) (/ z t)) (* (/ (cbrt z) (sqrt t)) (/ z t)) (* (/ (cbrt z) t) (/ z t)) (* (/ (sqrt z) (cbrt t)) (/ z t)) (* (/ z t) (/ (sqrt z) (sqrt t))) (* (/ (sqrt z) t) (/ z t)) (* (/ z (cbrt t)) (/ z t)) (* (/ z (sqrt t)) (/ z t)) (/ (pow z 2) (pow t 2)) (/ (pow z 2) (pow t 2)) (/ (/ z t) t) (* z (/ z t)) (* z (/ z t)) (/ (* x x) (* y y)) (/ (* x x) (* y y)) (/ (* x x) (* y y)) (/ (pow z 2) (pow t 2)) (/ (pow z 2) (pow t 2)) (/ (pow z 2) (pow t 2)) 0.382 * * * [progress]: adding candidates to table 0.545 * * [progress]: iteration 3 / 4 0.546 * * * [progress]: picking best candidate 0.569 * * * * [pick]: Picked # 0.569 * * * [progress]: localizing error 0.577 * * * [progress]: generating rewritten candidates 0.577 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.580 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.598 * * * [progress]: generating series expansions 0.598 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.598 * [approximate]: Taking taylor expansion of (pow (fabs (/ x y)) 2) in (x y) around 0 0.598 * [taylor]: Taking taylor expansion of (pow (fabs (/ x y)) 2) in y 0.598 * [taylor]: Taking taylor expansion of (fabs (/ x y)) in y 0.598 * [taylor]: Taking taylor expansion of (pow (fabs (/ x y)) 2) in x 0.598 * [taylor]: Taking taylor expansion of (fabs (/ x y)) in x 0.598 * [taylor]: Taking taylor expansion of (pow (fabs (/ x y)) 2) in x 0.598 * [taylor]: Taking taylor expansion of (fabs (/ x y)) in x 0.598 * [taylor]: Taking taylor expansion of (pow (fabs (/ x y)) 2) in y 0.598 * [taylor]: Taking taylor expansion of (fabs (/ x y)) in y 0.599 * [taylor]: Taking taylor expansion of 0 in y 0.599 * [taylor]: Taking taylor expansion of 0 in y 0.600 * [taylor]: Taking taylor expansion of 0 in y 0.600 * [approximate]: Taking taylor expansion of (pow (fabs (/ y x)) 2) in (x y) around 0 0.600 * [taylor]: Taking taylor expansion of (pow (fabs (/ y x)) 2) in y 0.601 * [taylor]: Taking taylor expansion of (fabs (/ y x)) in y 0.601 * [taylor]: Taking taylor expansion of (pow (fabs (/ y x)) 2) in x 0.601 * [taylor]: Taking taylor expansion of (fabs (/ y x)) in x 0.601 * [taylor]: Taking taylor expansion of (pow (fabs (/ y x)) 2) in x 0.601 * [taylor]: Taking taylor expansion of (fabs (/ y x)) in x 0.601 * [taylor]: Taking taylor expansion of (pow (fabs (/ y x)) 2) in y 0.601 * [taylor]: Taking taylor expansion of (fabs (/ y x)) in y 0.601 * [taylor]: Taking taylor expansion of 0 in y 0.602 * [taylor]: Taking taylor expansion of 0 in y 0.603 * [taylor]: Taking taylor expansion of 0 in y 0.603 * [approximate]: Taking taylor expansion of (pow (fabs (/ y x)) 2) in (x y) around 0 0.603 * [taylor]: Taking taylor expansion of (pow (fabs (/ y x)) 2) in y 0.603 * [taylor]: Taking taylor expansion of (fabs (/ y x)) in y 0.603 * [taylor]: Taking taylor expansion of (pow (fabs (/ y x)) 2) in x 0.603 * [taylor]: Taking taylor expansion of (fabs (/ y x)) in x 0.603 * [taylor]: Taking taylor expansion of (pow (fabs (/ y x)) 2) in x 0.603 * [taylor]: Taking taylor expansion of (fabs (/ y x)) in x 0.603 * [taylor]: Taking taylor expansion of (pow (fabs (/ y x)) 2) in y 0.603 * [taylor]: Taking taylor expansion of (fabs (/ y x)) in y 0.603 * [taylor]: Taking taylor expansion of 0 in y 0.604 * [taylor]: Taking taylor expansion of 0 in y 0.605 * [taylor]: Taking taylor expansion of 0 in y 0.605 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.605 * [approximate]: Taking taylor expansion of (/ (pow z 2) (pow t 2)) in (z t) around 0 0.605 * [taylor]: Taking taylor expansion of (/ (pow z 2) (pow t 2)) in t 0.605 * [taylor]: Taking taylor expansion of (pow z 2) in t 0.605 * [taylor]: Taking taylor expansion of z in t 0.605 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.605 * [taylor]: Taking taylor expansion of t in t 0.606 * [taylor]: Taking taylor expansion of (/ (pow z 2) (pow t 2)) in z 0.606 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.606 * [taylor]: Taking taylor expansion of z in z 0.606 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.606 * [taylor]: Taking taylor expansion of t in z 0.606 * [taylor]: Taking taylor expansion of (/ (pow z 2) (pow t 2)) in z 0.606 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.606 * [taylor]: Taking taylor expansion of z in z 0.606 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.606 * [taylor]: Taking taylor expansion of t in z 0.606 * [taylor]: Taking taylor expansion of (/ 1 (pow t 2)) in t 0.606 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.606 * [taylor]: Taking taylor expansion of t in t 0.608 * [taylor]: Taking taylor expansion of 0 in t 0.609 * [taylor]: Taking taylor expansion of 0 in t 0.612 * [taylor]: Taking taylor expansion of 0 in t 0.614 * [taylor]: Taking taylor expansion of 0 in t 0.615 * [approximate]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in (z t) around 0 0.615 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in t 0.615 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.615 * [taylor]: Taking taylor expansion of t in t 0.615 * [taylor]: Taking taylor expansion of (pow z 2) in t 0.615 * [taylor]: Taking taylor expansion of z in t 0.615 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in z 0.615 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.615 * [taylor]: Taking taylor expansion of t in z 0.615 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.615 * [taylor]: Taking taylor expansion of z in z 0.616 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in z 0.616 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.616 * [taylor]: Taking taylor expansion of t in z 0.616 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.616 * [taylor]: Taking taylor expansion of z in z 0.616 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.616 * [taylor]: Taking taylor expansion of t in t 0.617 * [taylor]: Taking taylor expansion of 0 in t 0.619 * [taylor]: Taking taylor expansion of 0 in t 0.622 * [taylor]: Taking taylor expansion of 0 in t 0.622 * [approximate]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in (z t) around 0 0.622 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in t 0.622 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.622 * [taylor]: Taking taylor expansion of t in t 0.622 * [taylor]: Taking taylor expansion of (pow z 2) in t 0.622 * [taylor]: Taking taylor expansion of z in t 0.623 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in z 0.623 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.623 * [taylor]: Taking taylor expansion of t in z 0.623 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.623 * [taylor]: Taking taylor expansion of z in z 0.623 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in z 0.623 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.623 * [taylor]: Taking taylor expansion of t in z 0.623 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.623 * [taylor]: Taking taylor expansion of z in z 0.624 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.624 * [taylor]: Taking taylor expansion of t in t 0.625 * [taylor]: Taking taylor expansion of 0 in t 0.627 * [taylor]: Taking taylor expansion of 0 in t 0.630 * [taylor]: Taking taylor expansion of 0 in t 0.630 * * * [progress]: simplifying candidates 0.631 * [simplify]: Simplifying using # : (+ 1 1) (* (fabs (/ x y)) (fabs (/ x y))) (+ 1 1) (+ (log (fabs (/ x y))) (log (fabs (/ x y)))) (log (* (fabs (/ x y)) (fabs (/ x y)))) (exp (* (fabs (/ x y)) (fabs (/ x y)))) (* (* (* (fabs (/ x y)) (fabs (/ x y))) (fabs (/ x y))) (* (* (fabs (/ x y)) (fabs (/ x y))) (fabs (/ x y)))) (* (cbrt (* (fabs (/ x y)) (fabs (/ x y)))) (cbrt (* (fabs (/ x y)) (fabs (/ x y))))) (cbrt (* (fabs (/ x y)) (fabs (/ x y)))) (* (* (* (fabs (/ x y)) (fabs (/ x y))) (* (fabs (/ x y)) (fabs (/ x y)))) (* (fabs (/ x y)) (fabs (/ x y)))) (sqrt (* (fabs (/ x y)) (fabs (/ x y)))) (sqrt (* (fabs (/ x y)) (fabs (/ x y)))) (* (* (cbrt (fabs (/ x y))) (cbrt (fabs (/ x y)))) (* (cbrt (fabs (/ x y))) (cbrt (fabs (/ x y))))) (* (cbrt (fabs (/ x y))) (cbrt (fabs (/ x y)))) (* (sqrt (fabs (/ x y))) (sqrt (fabs (/ x y)))) (* (sqrt (fabs (/ x y))) (sqrt (fabs (/ x y)))) (* 1 1) (* (fabs (/ x y)) (fabs (/ x y))) (* (sqrt (fabs (/ x y))) (sqrt (fabs (/ x y)))) (* (sqrt (fabs (/ x y))) (sqrt (fabs (/ x y)))) (* 2 1) (* (fabs (/ x y)) (* (cbrt (fabs (/ x y))) (cbrt (fabs (/ x y))))) (* (fabs (/ x y)) (sqrt (fabs (/ x y)))) (* (fabs (/ x y)) 1) (* (cbrt (fabs (/ x y))) (fabs (/ x y))) (* (sqrt (fabs (/ x y))) (fabs (/ x y))) (* (fabs (/ x y)) (fabs (/ x y))) (+ 1 1) (* (/ z t) (/ z t)) (+ 1 1) (+ (- (log z) (log t)) (- (log z) (log t))) (+ (- (log z) (log t)) (log (/ z t))) (+ (log (/ z t)) (- (log z) (log t))) (+ (log (/ z t)) (log (/ z t))) (log (* (/ z t) (/ z t))) (exp (* (/ z t) (/ z t))) (* (/ (* (* z z) z) (* (* t t) t)) (/ (* (* z z) z) (* (* t t) t))) (* (/ (* (* z z) z) (* (* t t) t)) (* (* (/ z t) (/ z t)) (/ z t))) (* (* (* (/ z t) (/ z t)) (/ z t)) (/ (* (* z z) z) (* (* t t) t))) (* (* (* (/ z t) (/ z t)) (/ z t)) (* (* (/ z t) (/ z t)) (/ z t))) (* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t)))) (cbrt (* (/ z t) (/ z t))) (* (* (* (/ z t) (/ z t)) (* (/ z t) (/ z t))) (* (/ z t) (/ z t))) (sqrt (* (/ z t) (/ z t))) (sqrt (* (/ z t) (/ z t))) (* z z) (* t t) (* (* (cbrt (/ z t)) (cbrt (/ z t))) (* (cbrt (/ z t)) (cbrt (/ z t)))) (* (cbrt (/ z t)) (cbrt (/ z t))) (* (sqrt (/ z t)) (sqrt (/ z t))) (* (sqrt (/ z t)) (sqrt (/ z t))) (* (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))) (* (/ (cbrt z) (cbrt t)) (/ (cbrt z) (cbrt t))) (* (/ (* (cbrt z) (cbrt z)) (sqrt t)) (/ (* (cbrt z) (cbrt z)) (sqrt t))) (* (/ (cbrt z) (sqrt t)) (/ (cbrt z) (sqrt t))) (* (/ (* (cbrt z) (cbrt z)) 1) (/ (* (cbrt z) (cbrt z)) 1)) (* (/ (cbrt z) t) (/ (cbrt z) t)) (* (/ (sqrt z) (* (cbrt t) (cbrt t))) (/ (sqrt z) (* (cbrt t) (cbrt t)))) (* (/ (sqrt z) (cbrt t)) (/ (sqrt z) (cbrt t))) (* (/ (sqrt z) (sqrt t)) (/ (sqrt z) (sqrt t))) (* (/ (sqrt z) (sqrt t)) (/ (sqrt z) (sqrt t))) (* (/ (sqrt z) 1) (/ (sqrt z) 1)) (* (/ (sqrt z) t) (/ (sqrt z) t)) (* (/ 1 (* (cbrt t) (cbrt t))) (/ 1 (* (cbrt t) (cbrt t)))) (* (/ z (cbrt t)) (/ z (cbrt t))) (* (/ 1 (sqrt t)) (/ 1 (sqrt t))) (* (/ z (sqrt t)) (/ z (sqrt t))) (* (/ 1 1) (/ 1 1)) (* (/ z t) (/ z t)) (* 1 1) (* (/ z t) (/ z t)) (* z z) (* (/ 1 t) (/ 1 t)) (* (sqrt (/ z t)) (sqrt (/ z t))) (* (sqrt (/ z t)) (sqrt (/ z t))) (* (sqrt (/ z t)) (/ (sqrt z) (sqrt t))) (* (sqrt (/ z t)) (/ (sqrt z) (sqrt t))) (* (/ (sqrt z) (sqrt t)) (sqrt (/ z t))) (* (/ (sqrt z) (sqrt t)) (sqrt (/ z t))) (* (/ (sqrt z) (sqrt t)) (/ (sqrt z) (sqrt t))) (* (/ (sqrt z) (sqrt t)) (/ (sqrt z) (sqrt t))) (* 2 1) (* (/ z t) (* (cbrt (/ z t)) (cbrt (/ z t)))) (* (/ z t) (sqrt (/ z t))) (* (/ z t) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))) (* (/ z t) (/ (* (cbrt z) (cbrt z)) (sqrt t))) (* (/ z t) (/ (* (cbrt z) (cbrt z)) 1)) (* (/ z t) (/ (sqrt z) (* (cbrt t) (cbrt t)))) (* (/ z t) (/ (sqrt z) (sqrt t))) (* (/ z t) (/ (sqrt z) 1)) (* (/ z t) (/ 1 (* (cbrt t) (cbrt t)))) (* (/ z t) (/ 1 (sqrt t))) (* (/ z t) (/ 1 1)) (* (/ z t) 1) (* (/ z t) z) (* (cbrt (/ z t)) (/ z t)) (* (sqrt (/ z t)) (/ z t)) (* (/ (cbrt z) (cbrt t)) (/ z t)) (* (/ (cbrt z) (sqrt t)) (/ z t)) (* (/ (cbrt z) t) (/ z t)) (* (/ (sqrt z) (cbrt t)) (/ z t)) (* (/ (sqrt z) (sqrt t)) (/ z t)) (* (/ (sqrt z) t) (/ z t)) (* (/ z (cbrt t)) (/ z t)) (* (/ z (sqrt t)) (/ z t)) (* (/ z t) (/ z t)) (* (/ z t) (/ z t)) (* (/ 1 t) (/ z t)) (* (/ z t) z) (* z (/ z t)) (pow (fabs (/ x y)) 2) (pow (fabs (/ x y)) 2) (pow (fabs (/ x y)) 2) (/ (pow z 2) (pow t 2)) (/ (pow z 2) (pow t 2)) (/ (pow z 2) (pow t 2)) 0.637 * * [simplify]: iteration 0 : 396 enodes (cost 544 ) 0.645 * * [simplify]: iteration 1 : 1932 enodes (cost 463 ) 0.680 * * [simplify]: iteration 2 : 5001 enodes (cost 415 ) 0.683 * [simplify]: Simplified to: 2 (pow (fabs (/ x y)) 2) 2 (* 2 (log (fabs (/ x y)))) (* 2 (log (fabs (/ x y)))) (exp (pow (fabs (/ x y)) 2)) (pow (pow (fabs (/ x y)) 2) 3) (* (cbrt (* (fabs (/ x y)) (fabs (/ x y)))) (cbrt (* (fabs (/ x y)) (fabs (/ x y))))) (cbrt (* (fabs (/ x y)) (fabs (/ x y)))) (pow (pow (fabs (/ x y)) 2) 3) (fabs (fabs (/ x y))) (fabs (fabs (/ x y))) (pow (cbrt (fabs (/ x y))) 4) (* (cbrt (fabs (/ x y))) (cbrt (fabs (/ x y)))) (fabs (/ x y)) (fabs (/ x y)) 1 (pow (fabs (/ x y)) 2) (fabs (/ x y)) (fabs (/ x y)) 2 (* (fabs (/ x y)) (* (cbrt (fabs (/ x y))) (cbrt (fabs (/ x y))))) (pow (sqrt (fabs (/ x y))) 3) (fabs (/ x y)) (pow (cbrt (fabs (/ x y))) 4) (pow (sqrt (fabs (/ x y))) 3) (pow (fabs (/ x y)) 2) 2 (/ (pow z 2) (pow t 2)) 2 (* 2 (log (/ z t))) (* 2 (log (/ z t))) (* 2 (log (/ z t))) (* 2 (log (/ z t))) (* 2 (log (/ z t))) (exp (* (/ z t) (/ z t))) (pow (* (/ z t) (/ z t)) 3) (pow (* (/ z t) (/ z t)) 3) (pow (* (/ z t) (/ z t)) 3) (pow (* (/ z t) (/ z t)) 3) (* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t)))) (cbrt (* (/ z t) (/ z t))) (pow (* (/ z t) (/ z t)) 3) (fabs (/ z t)) (fabs (/ z t)) (pow z 2) (pow t 2) (pow (cbrt (/ z t)) 4) (* (cbrt (/ z t)) (cbrt (/ z t))) (/ z t) (/ z t) (* (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))) (* (/ (* (cbrt z) (cbrt z)) (sqrt t)) (/ (* (cbrt z) (cbrt z)) (sqrt t))) (* (cbrt z) (/ (cbrt z) t)) (* (/ (cbrt z) 1) (/ (pow (cbrt z) 3) 1)) (* (/ (cbrt z) t) (/ (cbrt z) t)) (/ (/ (/ z (* (cbrt t) (cbrt t))) (cbrt t)) (cbrt t)) (/ z (* (cbrt t) (cbrt t))) (/ z t) (/ z t) z (/ (/ z t) t) (/ (/ 1 (* (cbrt t) (cbrt t))) (* (cbrt t) (cbrt t))) (* (/ z (cbrt t)) (/ z (cbrt t))) (/ 1 t) (* z (/ z t)) 1 (/ (pow z 2) (pow t 2)) 1 (/ (pow z 2) (pow t 2)) (pow z 2) (/ (/ 1 t) t) (/ z t) (/ z t) (* (sqrt (/ z t)) (/ (sqrt z) (sqrt t))) (* (sqrt (/ z t)) (/ (sqrt z) (sqrt t))) (* (sqrt (/ z t)) (/ (sqrt z) (sqrt t))) (* (sqrt (/ z t)) (/ (sqrt z) (sqrt t))) (/ z t) (/ z t) 2 (* (/ z t) (* (cbrt (/ z t)) (cbrt (/ z t)))) (pow (sqrt (/ z t)) 3) (* (/ z t) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))) (* (/ z t) (/ (* (cbrt z) (cbrt z)) (sqrt t))) (/ (* z (* (cbrt z) (cbrt z))) t) (* (/ z t) (/ (sqrt z) (* (cbrt t) (cbrt t)))) (* (/ z t) (/ (sqrt z) (sqrt t))) (/ (* z (sqrt z)) t) (/ (/ z t) (* (cbrt t) (cbrt t))) (/ (/ z t) (sqrt t)) (/ z t) (/ z t) (* z (/ z t)) (pow (cbrt (/ z t)) 4) (pow (sqrt (/ z t)) 3) (* (/ (cbrt z) (cbrt t)) (/ z t)) (* (/ (cbrt z) (sqrt t)) (/ z t)) (* (/ (cbrt z) t) (/ z t)) (* (/ (sqrt z) (cbrt t)) (/ z t)) (* (/ z t) (/ (sqrt z) (sqrt t))) (* (/ (sqrt z) t) (/ z t)) (* (/ z (cbrt t)) (/ z t)) (* (/ z (sqrt t)) (/ z t)) (/ (pow z 2) (pow t 2)) (/ (pow z 2) (pow t 2)) (/ (/ z t) t) (* z (/ z t)) (* z (/ z t)) (pow (fabs (/ x y)) 2) (pow (fabs (/ x y)) 2) (pow (fabs (/ x y)) 2) (/ (pow z 2) (pow t 2)) (/ (pow z 2) (pow t 2)) (/ (pow z 2) (pow t 2)) 0.683 * * * [progress]: adding candidates to table 0.869 * * [progress]: iteration 4 / 4 0.869 * * * [progress]: picking best candidate 0.899 * * * * [pick]: Picked # 0.899 * * * [progress]: localizing error 0.910 * * * [progress]: generating rewritten candidates 0.910 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.911 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.911 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.914 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.931 * * * [progress]: generating series expansions 0.931 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.931 * [approximate]: Taking taylor expansion of (sqrt (fabs (/ x y))) in (x y) around 0 0.931 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ x y))) in y 0.932 * [taylor]: Taking taylor expansion of (fabs (/ x y)) in y 0.932 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ x y))) in x 0.932 * [taylor]: Taking taylor expansion of (fabs (/ x y)) in x 0.932 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ x y))) in x 0.932 * [taylor]: Taking taylor expansion of (fabs (/ x y)) in x 0.932 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ x y))) in y 0.932 * [taylor]: Taking taylor expansion of (fabs (/ x y)) in y 0.932 * [taylor]: Taking taylor expansion of 0 in y 0.933 * [taylor]: Taking taylor expansion of 0 in y 0.934 * [taylor]: Taking taylor expansion of 0 in y 0.934 * [approximate]: Taking taylor expansion of (sqrt (fabs (/ y x))) in (x y) around 0 0.934 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ y x))) in y 0.934 * [taylor]: Taking taylor expansion of (fabs (/ y x)) in y 0.934 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ y x))) in x 0.934 * [taylor]: Taking taylor expansion of (fabs (/ y x)) in x 0.934 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ y x))) in x 0.934 * [taylor]: Taking taylor expansion of (fabs (/ y x)) in x 0.935 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ y x))) in y 0.935 * [taylor]: Taking taylor expansion of (fabs (/ y x)) in y 0.935 * [taylor]: Taking taylor expansion of 0 in y 0.935 * [taylor]: Taking taylor expansion of 0 in y 0.936 * [taylor]: Taking taylor expansion of 0 in y 0.936 * [approximate]: Taking taylor expansion of (sqrt (fabs (/ y x))) in (x y) around 0 0.936 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ y x))) in y 0.936 * [taylor]: Taking taylor expansion of (fabs (/ y x)) in y 0.937 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ y x))) in x 0.937 * [taylor]: Taking taylor expansion of (fabs (/ y x)) in x 0.937 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ y x))) in x 0.937 * [taylor]: Taking taylor expansion of (fabs (/ y x)) in x 0.937 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ y x))) in y 0.937 * [taylor]: Taking taylor expansion of (fabs (/ y x)) in y 0.937 * [taylor]: Taking taylor expansion of 0 in y 0.938 * [taylor]: Taking taylor expansion of 0 in y 0.939 * [taylor]: Taking taylor expansion of 0 in y 0.939 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.939 * [approximate]: Taking taylor expansion of (sqrt (fabs (/ x y))) in (x y) around 0 0.939 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ x y))) in y 0.939 * [taylor]: Taking taylor expansion of (fabs (/ x y)) in y 0.939 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ x y))) in x 0.939 * [taylor]: Taking taylor expansion of (fabs (/ x y)) in x 0.939 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ x y))) in x 0.939 * [taylor]: Taking taylor expansion of (fabs (/ x y)) in x 0.939 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ x y))) in y 0.939 * [taylor]: Taking taylor expansion of (fabs (/ x y)) in y 0.940 * [taylor]: Taking taylor expansion of 0 in y 0.940 * [taylor]: Taking taylor expansion of 0 in y 0.941 * [taylor]: Taking taylor expansion of 0 in y 0.941 * [approximate]: Taking taylor expansion of (sqrt (fabs (/ y x))) in (x y) around 0 0.941 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ y x))) in y 0.941 * [taylor]: Taking taylor expansion of (fabs (/ y x)) in y 0.941 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ y x))) in x 0.941 * [taylor]: Taking taylor expansion of (fabs (/ y x)) in x 0.941 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ y x))) in x 0.942 * [taylor]: Taking taylor expansion of (fabs (/ y x)) in x 0.942 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ y x))) in y 0.942 * [taylor]: Taking taylor expansion of (fabs (/ y x)) in y 0.942 * [taylor]: Taking taylor expansion of 0 in y 0.942 * [taylor]: Taking taylor expansion of 0 in y 0.943 * [taylor]: Taking taylor expansion of 0 in y 0.944 * [approximate]: Taking taylor expansion of (sqrt (fabs (/ y x))) in (x y) around 0 0.944 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ y x))) in y 0.944 * [taylor]: Taking taylor expansion of (fabs (/ y x)) in y 0.944 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ y x))) in x 0.944 * [taylor]: Taking taylor expansion of (fabs (/ y x)) in x 0.944 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ y x))) in x 0.944 * [taylor]: Taking taylor expansion of (fabs (/ y x)) in x 0.944 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ y x))) in y 0.944 * [taylor]: Taking taylor expansion of (fabs (/ y x)) in y 0.944 * [taylor]: Taking taylor expansion of 0 in y 0.945 * [taylor]: Taking taylor expansion of 0 in y 0.946 * [taylor]: Taking taylor expansion of 0 in y 0.946 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.946 * [approximate]: Taking taylor expansion of (pow (sqrt (fabs (/ x y))) 3) in (x y) around 0 0.946 * [taylor]: Taking taylor expansion of (pow (sqrt (fabs (/ x y))) 3) in y 0.946 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ x y))) in y 0.946 * [taylor]: Taking taylor expansion of (fabs (/ x y)) in y 0.946 * [taylor]: Taking taylor expansion of (pow (sqrt (fabs (/ x y))) 3) in x 0.946 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ x y))) in x 0.946 * [taylor]: Taking taylor expansion of (fabs (/ x y)) in x 0.946 * [taylor]: Taking taylor expansion of (pow (sqrt (fabs (/ x y))) 3) in x 0.946 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ x y))) in x 0.946 * [taylor]: Taking taylor expansion of (fabs (/ x y)) in x 0.947 * [taylor]: Taking taylor expansion of (sqrt (pow (fabs (/ x y)) 3)) in y 0.947 * [taylor]: Taking taylor expansion of (pow (fabs (/ x y)) 3) in y 0.947 * [taylor]: Taking taylor expansion of (fabs (/ x y)) in y 0.948 * [taylor]: Taking taylor expansion of 0 in y 0.949 * [taylor]: Taking taylor expansion of 0 in y 0.952 * [taylor]: Taking taylor expansion of 0 in y 0.952 * [approximate]: Taking taylor expansion of (pow (sqrt (fabs (/ y x))) 3) in (x y) around 0 0.952 * [taylor]: Taking taylor expansion of (pow (sqrt (fabs (/ y x))) 3) in y 0.952 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ y x))) in y 0.952 * [taylor]: Taking taylor expansion of (fabs (/ y x)) in y 0.952 * [taylor]: Taking taylor expansion of (pow (sqrt (fabs (/ y x))) 3) in x 0.952 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ y x))) in x 0.952 * [taylor]: Taking taylor expansion of (fabs (/ y x)) in x 0.952 * [taylor]: Taking taylor expansion of (pow (sqrt (fabs (/ y x))) 3) in x 0.952 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ y x))) in x 0.952 * [taylor]: Taking taylor expansion of (fabs (/ y x)) in x 0.953 * [taylor]: Taking taylor expansion of (sqrt (pow (fabs (/ y x)) 3)) in y 0.953 * [taylor]: Taking taylor expansion of (pow (fabs (/ y x)) 3) in y 0.953 * [taylor]: Taking taylor expansion of (fabs (/ y x)) in y 0.954 * [taylor]: Taking taylor expansion of 0 in y 0.955 * [taylor]: Taking taylor expansion of 0 in y 0.958 * [taylor]: Taking taylor expansion of 0 in y 0.958 * [approximate]: Taking taylor expansion of (pow (sqrt (fabs (/ y x))) 3) in (x y) around 0 0.958 * [taylor]: Taking taylor expansion of (pow (sqrt (fabs (/ y x))) 3) in y 0.958 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ y x))) in y 0.958 * [taylor]: Taking taylor expansion of (fabs (/ y x)) in y 0.958 * [taylor]: Taking taylor expansion of (pow (sqrt (fabs (/ y x))) 3) in x 0.958 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ y x))) in x 0.958 * [taylor]: Taking taylor expansion of (fabs (/ y x)) in x 0.958 * [taylor]: Taking taylor expansion of (pow (sqrt (fabs (/ y x))) 3) in x 0.958 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ y x))) in x 0.958 * [taylor]: Taking taylor expansion of (fabs (/ y x)) in x 0.959 * [taylor]: Taking taylor expansion of (sqrt (pow (fabs (/ y x)) 3)) in y 0.959 * [taylor]: Taking taylor expansion of (pow (fabs (/ y x)) 3) in y 0.959 * [taylor]: Taking taylor expansion of (fabs (/ y x)) in y 0.960 * [taylor]: Taking taylor expansion of 0 in y 0.961 * [taylor]: Taking taylor expansion of 0 in y 0.964 * [taylor]: Taking taylor expansion of 0 in y 0.964 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.964 * [approximate]: Taking taylor expansion of (/ (pow z 2) (pow t 2)) in (z t) around 0 0.964 * [taylor]: Taking taylor expansion of (/ (pow z 2) (pow t 2)) in t 0.964 * [taylor]: Taking taylor expansion of (pow z 2) in t 0.964 * [taylor]: Taking taylor expansion of z in t 0.964 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.964 * [taylor]: Taking taylor expansion of t in t 0.964 * [taylor]: Taking taylor expansion of (/ (pow z 2) (pow t 2)) in z 0.964 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.964 * [taylor]: Taking taylor expansion of z in z 0.964 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.964 * [taylor]: Taking taylor expansion of t in z 0.965 * [taylor]: Taking taylor expansion of (/ (pow z 2) (pow t 2)) in z 0.965 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.965 * [taylor]: Taking taylor expansion of z in z 0.965 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.965 * [taylor]: Taking taylor expansion of t in z 0.965 * [taylor]: Taking taylor expansion of (/ 1 (pow t 2)) in t 0.965 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.965 * [taylor]: Taking taylor expansion of t in t 0.966 * [taylor]: Taking taylor expansion of 0 in t 0.971 * [taylor]: Taking taylor expansion of 0 in t 0.973 * [taylor]: Taking taylor expansion of 0 in t 0.976 * [taylor]: Taking taylor expansion of 0 in t 0.976 * [approximate]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in (z t) around 0 0.976 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in t 0.976 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.976 * [taylor]: Taking taylor expansion of t in t 0.977 * [taylor]: Taking taylor expansion of (pow z 2) in t 0.977 * [taylor]: Taking taylor expansion of z in t 0.977 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in z 0.977 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.977 * [taylor]: Taking taylor expansion of t in z 0.977 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.977 * [taylor]: Taking taylor expansion of z in z 0.977 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in z 0.977 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.977 * [taylor]: Taking taylor expansion of t in z 0.977 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.977 * [taylor]: Taking taylor expansion of z in z 0.978 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.978 * [taylor]: Taking taylor expansion of t in t 0.979 * [taylor]: Taking taylor expansion of 0 in t 0.981 * [taylor]: Taking taylor expansion of 0 in t 0.984 * [taylor]: Taking taylor expansion of 0 in t 0.984 * [approximate]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in (z t) around 0 0.984 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in t 0.984 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.984 * [taylor]: Taking taylor expansion of t in t 0.984 * [taylor]: Taking taylor expansion of (pow z 2) in t 0.984 * [taylor]: Taking taylor expansion of z in t 0.984 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in z 0.984 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.984 * [taylor]: Taking taylor expansion of t in z 0.984 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.985 * [taylor]: Taking taylor expansion of z in z 0.985 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in z 0.985 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.985 * [taylor]: Taking taylor expansion of t in z 0.985 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.985 * [taylor]: Taking taylor expansion of z in z 0.985 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.985 * [taylor]: Taking taylor expansion of t in t 0.987 * [taylor]: Taking taylor expansion of 0 in t 0.989 * [taylor]: Taking taylor expansion of 0 in t 0.991 * [taylor]: Taking taylor expansion of 0 in t 0.991 * * * [progress]: simplifying candidates 0.993 * [simplify]: Simplifying using # : (log (sqrt (fabs (/ x y)))) (exp (sqrt (fabs (/ x y)))) (* (cbrt (sqrt (fabs (/ x y)))) (cbrt (sqrt (fabs (/ x y))))) (cbrt (sqrt (fabs (/ x y)))) (* (* (sqrt (fabs (/ x y))) (sqrt (fabs (/ x y)))) (sqrt (fabs (/ x y)))) (sqrt (* (cbrt (fabs (/ x y))) (cbrt (fabs (/ x y))))) (sqrt (cbrt (fabs (/ x y)))) (sqrt (sqrt (fabs (/ x y)))) (sqrt (sqrt (fabs (/ x y)))) (sqrt 1) (sqrt (fabs (/ x y))) (/ 1 2) (sqrt (sqrt (fabs (/ x y)))) (sqrt (sqrt (fabs (/ x y)))) (log (sqrt (fabs (/ x y)))) (exp (sqrt (fabs (/ x y)))) (* (cbrt (sqrt (fabs (/ x y)))) (cbrt (sqrt (fabs (/ x y))))) (cbrt (sqrt (fabs (/ x y)))) (* (* (sqrt (fabs (/ x y))) (sqrt (fabs (/ x y)))) (sqrt (fabs (/ x y)))) (sqrt (* (cbrt (fabs (/ x y))) (cbrt (fabs (/ x y))))) (sqrt (cbrt (fabs (/ x y)))) (sqrt (sqrt (fabs (/ x y)))) (sqrt (sqrt (fabs (/ x y)))) (sqrt 1) (sqrt (fabs (/ x y))) (/ 1 2) (sqrt (sqrt (fabs (/ x y)))) (sqrt (sqrt (fabs (/ x y)))) (* (log (sqrt (fabs (/ x y)))) 3) (* (log (sqrt (fabs (/ x y)))) 3) (* 1/2 3) (* 1 3) (* (/ 1 2) 3) (pow (sqrt (fabs (/ x y))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (fabs (/ x y))) (sqrt 3)) (pow (sqrt (fabs (/ x y))) 1) (pow (* (cbrt (sqrt (fabs (/ x y)))) (cbrt (sqrt (fabs (/ x y))))) 3) (pow (cbrt (sqrt (fabs (/ x y)))) 3) (pow (sqrt (* (cbrt (fabs (/ x y))) (cbrt (fabs (/ x y))))) 3) (pow (sqrt (cbrt (fabs (/ x y)))) 3) (pow (sqrt (sqrt (fabs (/ x y)))) 3) (pow (sqrt (sqrt (fabs (/ x y)))) 3) (pow (sqrt 1) 3) (pow (sqrt (fabs (/ x y))) 3) (pow (sqrt (sqrt (fabs (/ x y)))) 3) (pow (sqrt (sqrt (fabs (/ x y)))) 3) (pow 1 3) (pow (sqrt (fabs (/ x y))) 3) (* (sqrt (fabs (/ x y))) (sqrt (fabs (/ x y)))) (log (pow (sqrt (fabs (/ x y))) 3)) (exp (pow (sqrt (fabs (/ x y))) 3)) (* (cbrt (pow (sqrt (fabs (/ x y))) 3)) (cbrt (pow (sqrt (fabs (/ x y))) 3))) (cbrt (pow (sqrt (fabs (/ x y))) 3)) (* (* (pow (sqrt (fabs (/ x y))) 3) (pow (sqrt (fabs (/ x y))) 3)) (pow (sqrt (fabs (/ x y))) 3)) (pow (* (cbrt (sqrt (fabs (/ x y)))) (cbrt (sqrt (fabs (/ x y))))) 3) (pow (cbrt (sqrt (fabs (/ x y)))) 3) (pow (sqrt (* (cbrt (fabs (/ x y))) (cbrt (fabs (/ x y))))) 3) (pow (sqrt (cbrt (fabs (/ x y)))) 3) (pow (sqrt (sqrt (fabs (/ x y)))) 3) (pow (sqrt (sqrt (fabs (/ x y)))) 3) (pow (sqrt 1) 3) (pow (sqrt (fabs (/ x y))) 3) (pow (sqrt (sqrt (fabs (/ x y)))) 3) (pow (sqrt (sqrt (fabs (/ x y)))) 3) (pow 1 3) (pow (sqrt (fabs (/ x y))) 3) (* (sqrt (fabs (/ x y))) (sqrt (fabs (/ x y)))) (/ 3 2) (sqrt (pow (sqrt (fabs (/ x y))) 3)) (sqrt (pow (sqrt (fabs (/ x y))) 3)) (pow (sqrt (fabs (/ x y))) (/ 3 2)) (pow (sqrt (fabs (/ x y))) (/ 3 2)) (+ 1 1) (* (/ z t) (/ z t)) (+ 1 1) (+ (- (log z) (log t)) (- (log z) (log t))) (+ (- (log z) (log t)) (log (/ z t))) (+ (log (/ z t)) (- (log z) (log t))) (+ (log (/ z t)) (log (/ z t))) (log (* (/ z t) (/ z t))) (exp (* (/ z t) (/ z t))) (* (/ (* (* z z) z) (* (* t t) t)) (/ (* (* z z) z) (* (* t t) t))) (* (/ (* (* z z) z) (* (* t t) t)) (* (* (/ z t) (/ z t)) (/ z t))) (* (* (* (/ z t) (/ z t)) (/ z t)) (/ (* (* z z) z) (* (* t t) t))) (* (* (* (/ z t) (/ z t)) (/ z t)) (* (* (/ z t) (/ z t)) (/ z t))) (* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t)))) (cbrt (* (/ z t) (/ z t))) (* (* (* (/ z t) (/ z t)) (* (/ z t) (/ z t))) (* (/ z t) (/ z t))) (sqrt (* (/ z t) (/ z t))) (sqrt (* (/ z t) (/ z t))) (* z z) (* t t) (* (* (cbrt (/ z t)) (cbrt (/ z t))) (* (cbrt (/ z t)) (cbrt (/ z t)))) (* (cbrt (/ z t)) (cbrt (/ z t))) (* (sqrt (/ z t)) (sqrt (/ z t))) (* (sqrt (/ z t)) (sqrt (/ z t))) (* (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))) (* (/ (cbrt z) (cbrt t)) (/ (cbrt z) (cbrt t))) (* (/ (* (cbrt z) (cbrt z)) (sqrt t)) (/ (* (cbrt z) (cbrt z)) (sqrt t))) (* (/ (cbrt z) (sqrt t)) (/ (cbrt z) (sqrt t))) (* (/ (* (cbrt z) (cbrt z)) 1) (/ (* (cbrt z) (cbrt z)) 1)) (* (/ (cbrt z) t) (/ (cbrt z) t)) (* (/ (sqrt z) (* (cbrt t) (cbrt t))) (/ (sqrt z) (* (cbrt t) (cbrt t)))) (* (/ (sqrt z) (cbrt t)) (/ (sqrt z) (cbrt t))) (* (/ (sqrt z) (sqrt t)) (/ (sqrt z) (sqrt t))) (* (/ (sqrt z) (sqrt t)) (/ (sqrt z) (sqrt t))) (* (/ (sqrt z) 1) (/ (sqrt z) 1)) (* (/ (sqrt z) t) (/ (sqrt z) t)) (* (/ 1 (* (cbrt t) (cbrt t))) (/ 1 (* (cbrt t) (cbrt t)))) (* (/ z (cbrt t)) (/ z (cbrt t))) (* (/ 1 (sqrt t)) (/ 1 (sqrt t))) (* (/ z (sqrt t)) (/ z (sqrt t))) (* (/ 1 1) (/ 1 1)) (* (/ z t) (/ z t)) (* 1 1) (* (/ z t) (/ z t)) (* z z) (* (/ 1 t) (/ 1 t)) (* (sqrt (/ z t)) (sqrt (/ z t))) (* (sqrt (/ z t)) (sqrt (/ z t))) (* (sqrt (/ z t)) (/ (sqrt z) (sqrt t))) (* (sqrt (/ z t)) (/ (sqrt z) (sqrt t))) (* (/ (sqrt z) (sqrt t)) (sqrt (/ z t))) (* (/ (sqrt z) (sqrt t)) (sqrt (/ z t))) (* (/ (sqrt z) (sqrt t)) (/ (sqrt z) (sqrt t))) (* (/ (sqrt z) (sqrt t)) (/ (sqrt z) (sqrt t))) (* 2 1) (* (/ z t) (* (cbrt (/ z t)) (cbrt (/ z t)))) (* (/ z t) (sqrt (/ z t))) (* (/ z t) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))) (* (/ z t) (/ (* (cbrt z) (cbrt z)) (sqrt t))) (* (/ z t) (/ (* (cbrt z) (cbrt z)) 1)) (* (/ z t) (/ (sqrt z) (* (cbrt t) (cbrt t)))) (* (/ z t) (/ (sqrt z) (sqrt t))) (* (/ z t) (/ (sqrt z) 1)) (* (/ z t) (/ 1 (* (cbrt t) (cbrt t)))) (* (/ z t) (/ 1 (sqrt t))) (* (/ z t) (/ 1 1)) (* (/ z t) 1) (* (/ z t) z) (* (cbrt (/ z t)) (/ z t)) (* (sqrt (/ z t)) (/ z t)) (* (/ (cbrt z) (cbrt t)) (/ z t)) (* (/ (cbrt z) (sqrt t)) (/ z t)) (* (/ (cbrt z) t) (/ z t)) (* (/ (sqrt z) (cbrt t)) (/ z t)) (* (/ (sqrt z) (sqrt t)) (/ z t)) (* (/ (sqrt z) t) (/ z t)) (* (/ z (cbrt t)) (/ z t)) (* (/ z (sqrt t)) (/ z t)) (* (/ z t) (/ z t)) (* (/ z t) (/ z t)) (* (/ 1 t) (/ z t)) (* (/ z t) z) (* z (/ z t)) (sqrt (fabs (/ x y))) (sqrt (fabs (/ x y))) (sqrt (fabs (/ x y))) (sqrt (fabs (/ x y))) (sqrt (fabs (/ x y))) (sqrt (fabs (/ x y))) (sqrt (pow (fabs (/ x y)) 3)) (sqrt (pow (fabs (/ x y)) 3)) (sqrt (pow (fabs (/ x y)) 3)) (/ (pow z 2) (pow t 2)) (/ (pow z 2) (pow t 2)) (/ (pow z 2) (pow t 2)) 0.999 * * [simplify]: iteration 0 : 455 enodes (cost 710 ) 1.008 * * [simplify]: iteration 1 : 2300 enodes (cost 624 ) 1.048 * * [simplify]: iteration 2 : 5001 enodes (cost 582 ) 1.051 * [simplify]: Simplified to: (log (sqrt (fabs (/ x y)))) (exp (sqrt (fabs (/ x y)))) (cbrt (fabs (/ x y))) (cbrt (sqrt (fabs (/ x y)))) (pow (sqrt (fabs (/ x y))) 3) (fabs (cbrt (fabs (/ x y)))) (sqrt (cbrt (fabs (/ x y)))) (pow (sqrt (fabs (/ x y))) 1/2) (pow (sqrt (fabs (/ x y))) 1/2) 1 (sqrt (fabs (/ x y))) 1/2 (pow (sqrt (fabs (/ x y))) 1/2) (pow (sqrt (fabs (/ x y))) 1/2) (log (sqrt (fabs (/ x y)))) (exp (sqrt (fabs (/ x y)))) (cbrt (fabs (/ x y))) (cbrt (sqrt (fabs (/ x y)))) (pow (sqrt (fabs (/ x y))) 3) (fabs (cbrt (fabs (/ x y)))) (sqrt (cbrt (fabs (/ x y)))) (pow (sqrt (fabs (/ x y))) 1/2) (pow (sqrt (fabs (/ x y))) 1/2) 1 (sqrt (fabs (/ x y))) 1/2 (pow (sqrt (fabs (/ x y))) 1/2) (pow (sqrt (fabs (/ x y))) 1/2) (log (pow (sqrt (fabs (/ x y))) 3)) (log (pow (sqrt (fabs (/ x y))) 3)) 3/2 3 3/2 (pow (sqrt (fabs (/ x y))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (fabs (/ x y))) (sqrt 3)) (sqrt (fabs (/ x y))) (fabs (/ x y)) (sqrt (fabs (/ x y))) (pow (fabs (cbrt (fabs (/ x y)))) 3) (pow (sqrt (cbrt (fabs (/ x y)))) 3) (pow (sqrt (fabs (/ x y))) 3/2) (pow (sqrt (fabs (/ x y))) 3/2) 1 (pow (sqrt (fabs (/ x y))) 3) (pow (sqrt (fabs (/ x y))) 3/2) (pow (sqrt (fabs (/ x y))) 3/2) 1 (pow (sqrt (fabs (/ x y))) 3) (fabs (/ x y)) (log (pow (sqrt (fabs (/ x y))) 3)) (exp (pow (sqrt (fabs (/ x y))) 3)) (fabs (/ x y)) (sqrt (fabs (/ x y))) (pow (pow (sqrt (fabs (/ x y))) 3) 3) (fabs (/ x y)) (sqrt (fabs (/ x y))) (pow (fabs (cbrt (fabs (/ x y)))) 3) (pow (sqrt (cbrt (fabs (/ x y)))) 3) (pow (sqrt (fabs (/ x y))) 3/2) (pow (sqrt (fabs (/ x y))) 3/2) 1 (pow (sqrt (fabs (/ x y))) 3) (pow (sqrt (fabs (/ x y))) 3/2) (pow (sqrt (fabs (/ x y))) 3/2) 1 (pow (sqrt (fabs (/ x y))) 3) (fabs (/ x y)) 3/2 (sqrt (pow (sqrt (fabs (/ x y))) 3)) (sqrt (pow (sqrt (fabs (/ x y))) 3)) (pow (sqrt (fabs (/ x y))) 3/2) (pow (sqrt (fabs (/ x y))) 3/2) 2 (/ (pow z 2) (pow t 2)) 2 (* 2 (log (/ z t))) (* 2 (log (/ z t))) (* 2 (log (/ z t))) (* 2 (log (/ z t))) (* 2 (log (/ z t))) (exp (* (/ z t) (/ z t))) (pow (* (/ z t) (/ z t)) 3) (pow (* (/ z t) (/ z t)) 3) (pow (* (/ z t) (/ z t)) 3) (pow (* (/ z t) (/ z t)) 3) (* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t)))) (cbrt (* (/ z t) (/ z t))) (pow (* (/ z t) (/ z t)) 3) (fabs (/ z t)) (fabs (/ z t)) (pow z 2) (pow t 2) (pow (cbrt (/ z t)) 4) (* (cbrt (/ z t)) (cbrt (/ z t))) (/ z t) (/ z t) (* (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))) (* (/ (* (cbrt z) (cbrt z)) (sqrt t)) (/ (* (cbrt z) (cbrt z)) (sqrt t))) (* (/ (cbrt z) (sqrt t)) (/ (cbrt z) (sqrt t))) (* (/ (cbrt z) 1) (/ (pow (cbrt z) 3) 1)) (* (/ (cbrt z) t) (/ (cbrt z) t)) (/ (/ (/ z (* (cbrt t) (cbrt t))) (cbrt t)) (cbrt t)) (/ z (* (cbrt t) (cbrt t))) (/ z t) (/ z t) z (/ (/ z t) t) (/ (/ (/ 1 (* (cbrt t) (cbrt t))) (cbrt t)) (cbrt t)) (* (/ z (cbrt t)) (/ z (cbrt t))) (/ (/ 1 (sqrt t)) (pow t 1/2)) (* z (/ z t)) 1 (/ (pow z 2) (pow t 2)) 1 (/ (pow z 2) (pow t 2)) (pow z 2) (/ (/ 1 t) t) (/ z t) (/ z t) (* (sqrt (/ z t)) (/ (sqrt z) (sqrt t))) (* (sqrt (/ z t)) (/ (sqrt z) (sqrt t))) (* (sqrt (/ z t)) (/ (sqrt z) (sqrt t))) (* (sqrt (/ z t)) (/ (sqrt z) (sqrt t))) (/ z t) (/ z t) 2 (* (/ z t) (* (cbrt (/ z t)) (cbrt (/ z t)))) (pow (sqrt (/ z t)) 3) (* (/ z t) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))) (* (/ z t) (/ (* (cbrt z) (cbrt z)) (sqrt t))) (/ (* z (* (cbrt z) (cbrt z))) t) (* (/ z t) (/ (sqrt z) (* (cbrt t) (cbrt t)))) (* (/ z t) (/ (sqrt z) (sqrt t))) (/ (* z (sqrt z)) t) (/ (/ z t) (* (cbrt t) (cbrt t))) (/ (/ z t) (sqrt t)) (/ z t) (/ z t) (* z (/ z t)) (pow (cbrt (/ z t)) 4) (pow (sqrt (/ z t)) 3) (* (/ (cbrt z) (cbrt t)) (/ z t)) (* (/ (cbrt z) (sqrt t)) (/ z t)) (* (/ (cbrt z) t) (/ z t)) (* (/ (sqrt z) (cbrt t)) (/ z t)) (* (/ z t) (/ (sqrt z) (sqrt t))) (* (/ (sqrt z) t) (/ z t)) (* (/ z (cbrt t)) (/ z t)) (* (/ z (sqrt t)) (/ z t)) (/ (pow z 2) (pow t 2)) (/ (pow z 2) (pow t 2)) (/ (/ z t) t) (* z (/ z t)) (* z (/ z t)) (sqrt (fabs (/ x y))) (sqrt (fabs (/ x y))) (sqrt (fabs (/ x y))) (sqrt (fabs (/ x y))) (sqrt (fabs (/ x y))) (sqrt (fabs (/ x y))) (sqrt (pow (fabs (/ x y)) 3)) (sqrt (pow (fabs (/ x y)) 3)) (sqrt (pow (fabs (/ x y)) 3)) (/ (pow z 2) (pow t 2)) (/ (pow z 2) (pow t 2)) (/ (pow z 2) (pow t 2)) 1.051 * * * [progress]: adding candidates to table 1.345 * [progress]: [Phase 3 of 3] Extracting. 1.345 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # #) 1.350 * * * [regime-changes]: Trying 7 branch expressions: ((* y y) (* x x) (/ (* x x) (* y y)) t z y x) 1.350 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # # # # # # # # # # #) 1.402 * * * * [regimes]: Trying to branch on (* y y) from (# #) 1.415 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # # # # # # # # # # # #) 1.464 * * * * [regimes]: Trying to branch on (* x x) from (# #) 1.480 * * * * [regimes]: Trying to branch on (/ (* x x) (* y y)) from (# # # # # # # # # # # # # # # #) 1.530 * * * * [regimes]: Trying to branch on t from (# # # # # # # # # # # # # # # #) 1.585 * * * * [regimes]: Trying to branch on z from (# # # # # # # # # # # # # # # #) 1.640 * * * * [regimes]: Trying to branch on y from (# # # # # # # # # # # # # # # #) 1.694 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # # # #) 1.748 * * * [regime]: Found split indices: #