12.237 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (sqrt (+ (* x x) y)) 0.018 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.019 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 0.019 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.019 * * [progress]: iteration 1 / 4 0.019 * * * [progress]: picking best candidate 0.021 * * * * [pick]: Picked # 0.021 * * * [progress]: localizing error 0.025 * * * [progress]: generating rewritten candidates 0.025 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.030 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.033 * * * [progress]: generating series expansions 0.033 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.033 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.033 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.033 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.033 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.033 * [taylor]: Taking taylor expansion of x in y 0.033 * [taylor]: Taking taylor expansion of y in y 0.034 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.034 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.034 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of y in x 0.034 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.035 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.035 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of y in x 0.035 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.039 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.040 * [taylor]: Taking taylor expansion of 1/2 in y 0.040 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.040 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.045 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.045 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.046 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.046 * [taylor]: Taking taylor expansion of x in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.050 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of 1 in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.054 * [taylor]: Taking taylor expansion of 1/2 in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.059 * [taylor]: Taking taylor expansion of -1/8 in y 0.059 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.061 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.061 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.061 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.061 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.061 * [taylor]: Taking taylor expansion of x in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.063 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.063 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.065 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.065 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.066 * [taylor]: Taking taylor expansion of y in x 0.068 * [taylor]: Taking taylor expansion of 1 in y 0.068 * [taylor]: Taking taylor expansion of 0 in y 0.070 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.070 * [taylor]: Taking taylor expansion of -1/2 in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.075 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.075 * [taylor]: Taking taylor expansion of -1/8 in y 0.075 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.076 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.076 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.076 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.076 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.076 * [taylor]: Taking taylor expansion of x in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.077 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of y in x 0.077 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of y in x 0.077 * [taylor]: Taking taylor expansion of y in y 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [taylor]: Taking taylor expansion of 1 in y 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.079 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.079 * [taylor]: Taking taylor expansion of x in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of 1 in y 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.082 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.086 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.086 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.086 * [taylor]: Taking taylor expansion of x in y 0.086 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.086 * [taylor]: Taking taylor expansion of y in y 0.087 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.087 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.087 * [taylor]: Taking taylor expansion of y in x 0.087 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.087 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.088 * [taylor]: Taking taylor expansion of 1 in y 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.091 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.095 * [taylor]: Taking taylor expansion of 0 in y 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.122 * * * [progress]: simplifying candidates 0.123 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt 1) (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (/ 1 2) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.127 * * [simplify]: iteration 0 : 141 enodes (cost 152 ) 0.130 * * [simplify]: iteration 1 : 475 enodes (cost 139 ) 0.138 * * [simplify]: iteration 2 : 1515 enodes (cost 138 ) 0.176 * * [simplify]: iteration 3 : 5002 enodes (cost 136 ) 0.177 * [simplify]: Simplified to: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (pow (sqrt (+ (* x x) y)) 3) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) 1/2 (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (exp (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (pow (+ (* x x) y) 3) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (- (+ (pow x 4) (pow y 2)) (* (* x x) y)) (- (pow x 4) (pow y 2)) (- (* x x) y) (* +nan.0 (- (- (pow y 2) y) (pow x 2))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) 0.177 * * * [progress]: adding candidates to table 0.255 * * [progress]: iteration 2 / 4 0.255 * * * [progress]: picking best candidate 0.258 * * * * [pick]: Picked # 0.258 * * * [progress]: localizing error 0.262 * * * [progress]: generating rewritten candidates 0.262 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.269 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.273 * * * [progress]: generating series expansions 0.273 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.273 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0 0.273 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.273 * [taylor]: Taking taylor expansion of 1/2 in x 0.273 * [taylor]: Taking taylor expansion of (/ y x) in x 0.273 * [taylor]: Taking taylor expansion of y in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.273 * [taylor]: Taking taylor expansion of 1/2 in y 0.273 * [taylor]: Taking taylor expansion of (/ y x) in y 0.273 * [taylor]: Taking taylor expansion of y in y 0.273 * [taylor]: Taking taylor expansion of x in y 0.273 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.273 * [taylor]: Taking taylor expansion of 1/2 in y 0.273 * [taylor]: Taking taylor expansion of (/ y x) in y 0.273 * [taylor]: Taking taylor expansion of y in y 0.273 * [taylor]: Taking taylor expansion of x in y 0.273 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 0.273 * [taylor]: Taking taylor expansion of 1/2 in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of 0 in x 0.275 * [taylor]: Taking taylor expansion of 0 in x 0.277 * [taylor]: Taking taylor expansion of 0 in x 0.277 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.278 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.278 * [taylor]: Taking taylor expansion of 1/2 in x 0.278 * [taylor]: Taking taylor expansion of (/ x y) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of y in x 0.278 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.278 * [taylor]: Taking taylor expansion of 1/2 in y 0.278 * [taylor]: Taking taylor expansion of (/ x y) in y 0.278 * [taylor]: Taking taylor expansion of x in y 0.278 * [taylor]: Taking taylor expansion of y in y 0.278 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.278 * [taylor]: Taking taylor expansion of 1/2 in y 0.278 * [taylor]: Taking taylor expansion of (/ x y) in y 0.278 * [taylor]: Taking taylor expansion of x in y 0.278 * [taylor]: Taking taylor expansion of y in y 0.278 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.278 * [taylor]: Taking taylor expansion of 1/2 in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of 0 in x 0.281 * [taylor]: Taking taylor expansion of 0 in x 0.283 * [taylor]: Taking taylor expansion of 0 in x 0.284 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.284 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.284 * [taylor]: Taking taylor expansion of 1/2 in x 0.284 * [taylor]: Taking taylor expansion of (/ x y) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of y in x 0.284 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.284 * [taylor]: Taking taylor expansion of 1/2 in y 0.284 * [taylor]: Taking taylor expansion of (/ x y) in y 0.284 * [taylor]: Taking taylor expansion of x in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.284 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.284 * [taylor]: Taking taylor expansion of 1/2 in y 0.284 * [taylor]: Taking taylor expansion of (/ x y) in y 0.284 * [taylor]: Taking taylor expansion of x in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.284 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.284 * [taylor]: Taking taylor expansion of 1/2 in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of 0 in x 0.287 * [taylor]: Taking taylor expansion of 0 in x 0.290 * [taylor]: Taking taylor expansion of 0 in x 0.290 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.290 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0 0.290 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 0.290 * [taylor]: Taking taylor expansion of x in y 0.290 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.290 * [taylor]: Taking taylor expansion of 1/2 in y 0.290 * [taylor]: Taking taylor expansion of (/ y x) in y 0.290 * [taylor]: Taking taylor expansion of y in y 0.290 * [taylor]: Taking taylor expansion of x in y 0.290 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.290 * [taylor]: Taking taylor expansion of 1/2 in x 0.290 * [taylor]: Taking taylor expansion of (/ y x) in x 0.291 * [taylor]: Taking taylor expansion of y in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.291 * [taylor]: Taking taylor expansion of 1/2 in x 0.291 * [taylor]: Taking taylor expansion of (/ y x) in x 0.291 * [taylor]: Taking taylor expansion of y in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.291 * [taylor]: Taking taylor expansion of 1/2 in y 0.291 * [taylor]: Taking taylor expansion of y in y 0.292 * [taylor]: Taking taylor expansion of 0 in y 0.294 * [taylor]: Taking taylor expansion of 1 in y 0.297 * [taylor]: Taking taylor expansion of 0 in y 0.298 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 0.298 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 0.298 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.298 * [taylor]: Taking taylor expansion of 1/2 in y 0.298 * [taylor]: Taking taylor expansion of (/ x y) in y 0.298 * [taylor]: Taking taylor expansion of x in y 0.298 * [taylor]: Taking taylor expansion of y in y 0.298 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.298 * [taylor]: Taking taylor expansion of x in y 0.298 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.298 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.298 * [taylor]: Taking taylor expansion of 1/2 in x 0.298 * [taylor]: Taking taylor expansion of (/ x y) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of y in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.298 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.298 * [taylor]: Taking taylor expansion of 1/2 in x 0.298 * [taylor]: Taking taylor expansion of (/ x y) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of y in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.299 * [taylor]: Taking taylor expansion of 1 in y 0.300 * [taylor]: Taking taylor expansion of 0 in y 0.300 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.300 * [taylor]: Taking taylor expansion of 1/2 in y 0.300 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.300 * [taylor]: Taking taylor expansion of y in y 0.302 * [taylor]: Taking taylor expansion of 0 in y 0.304 * [taylor]: Taking taylor expansion of 0 in y 0.304 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 0.304 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y 0.304 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.304 * [taylor]: Taking taylor expansion of 1/2 in y 0.304 * [taylor]: Taking taylor expansion of (/ x y) in y 0.304 * [taylor]: Taking taylor expansion of x in y 0.304 * [taylor]: Taking taylor expansion of y in y 0.305 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.305 * [taylor]: Taking taylor expansion of x in y 0.305 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 0.305 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.305 * [taylor]: Taking taylor expansion of 1/2 in x 0.305 * [taylor]: Taking taylor expansion of (/ x y) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of y in x 0.305 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 0.305 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.305 * [taylor]: Taking taylor expansion of 1/2 in x 0.305 * [taylor]: Taking taylor expansion of (/ x y) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of y in x 0.305 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of -1 in y 0.307 * [taylor]: Taking taylor expansion of 0 in y 0.308 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.308 * [taylor]: Taking taylor expansion of 1/2 in y 0.308 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.308 * [taylor]: Taking taylor expansion of y in y 0.309 * [taylor]: Taking taylor expansion of 0 in y 0.312 * [taylor]: Taking taylor expansion of 0 in y 0.312 * * * [progress]: simplifying candidates 0.313 * [simplify]: Simplifying using # : (* 1/2 (/ y x)) (+ (log 1/2) (- (log y) (log x))) (+ (log 1/2) (log (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (* (* (* 1/2 1/2) 1/2) (/ (* (* y y) y) (* (* x x) x))) (* (* (* 1/2 1/2) 1/2) (* (* (/ y x) (/ y x)) (/ y x))) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (* (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) 1)) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* 1/2 (/ (sqrt y) 1)) (* 1/2 (/ 1 (* (cbrt x) (cbrt x)))) (* 1/2 (/ 1 (sqrt x))) (* 1/2 (/ 1 1)) (* 1/2 1) (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (* (exp x) (exp (* 1/2 (/ y x)))) (log (+ x (* 1/2 (/ y x)))) (exp (+ x (* 1/2 (/ y x)))) (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x))))) (cbrt (+ x (* 1/2 (/ y x)))) (* (* (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x)))) (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (+ (pow x 3) (pow (* 1/2 (/ y x)) 3)) (+ (* x x) (- (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* x (* 1/2 (/ y x))))) (- (* x x) (* (* 1/2 (/ y x)) (* 1/2 (/ y x)))) (- x (* 1/2 (/ y x))) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 0.317 * * [simplify]: iteration 0 : 223 enodes (cost 199 ) 0.321 * * [simplify]: iteration 1 : 960 enodes (cost 187 ) 0.355 * * [simplify]: iteration 2 : 4238 enodes (cost 187 ) 0.437 * * [simplify]: iteration 3 : 5001 enodes (cost 187 ) 0.439 * [simplify]: Simplified to: (* 1/2 (/ y x)) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (pow (* 1/2 (/ y x)) 3) (pow (* 1/2 (/ y x)) 3) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (pow (* 1/2 (/ y x)) 3) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* (* (cbrt y) (cbrt y)) 1/2) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* (sqrt y) 1/2) (/ 1/2 (* (cbrt x) (cbrt x))) (/ 1/2 (sqrt x)) 1/2 1/2 (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (exp (+ x (* 1/2 (/ y x)))) (log (+ x (* 1/2 (/ y x)))) (exp (+ x (* 1/2 (/ y x)))) (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x))))) (cbrt (+ x (* 1/2 (/ y x)))) (pow (+ x (* 1/2 (/ y x))) 3) (sqrt (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (+ (pow x 3) (pow (* 1/2 (/ y x)) 3)) (+ (* (* 1/2 (/ y x)) (- (* 1/2 (/ y x)) x)) (* x x)) (- (* x x) (* (* 1/2 (/ y x)) (* 1/2 (/ y x)))) (- x (* 1/2 (/ y x))) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 0.439 * * * [progress]: adding candidates to table 0.523 * * [progress]: iteration 3 / 4 0.523 * * * [progress]: picking best candidate 0.524 * * * * [pick]: Picked # 0.524 * * * [progress]: localizing error 0.529 * * * [progress]: generating rewritten candidates 0.529 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.536 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.540 * * * [progress]: generating series expansions 0.540 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.540 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0 0.540 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.540 * [taylor]: Taking taylor expansion of 1/2 in x 0.540 * [taylor]: Taking taylor expansion of (/ y x) in x 0.540 * [taylor]: Taking taylor expansion of y in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.540 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.540 * [taylor]: Taking taylor expansion of 1/2 in y 0.540 * [taylor]: Taking taylor expansion of (/ y x) in y 0.540 * [taylor]: Taking taylor expansion of y in y 0.540 * [taylor]: Taking taylor expansion of x in y 0.540 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.540 * [taylor]: Taking taylor expansion of 1/2 in y 0.540 * [taylor]: Taking taylor expansion of (/ y x) in y 0.540 * [taylor]: Taking taylor expansion of y in y 0.540 * [taylor]: Taking taylor expansion of x in y 0.540 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 0.540 * [taylor]: Taking taylor expansion of 1/2 in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.541 * [taylor]: Taking taylor expansion of 0 in x 0.542 * [taylor]: Taking taylor expansion of 0 in x 0.544 * [taylor]: Taking taylor expansion of 0 in x 0.545 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.545 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.545 * [taylor]: Taking taylor expansion of 1/2 in x 0.545 * [taylor]: Taking taylor expansion of (/ x y) in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of y in x 0.545 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.545 * [taylor]: Taking taylor expansion of 1/2 in y 0.545 * [taylor]: Taking taylor expansion of (/ x y) in y 0.545 * [taylor]: Taking taylor expansion of x in y 0.545 * [taylor]: Taking taylor expansion of y in y 0.545 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.545 * [taylor]: Taking taylor expansion of 1/2 in y 0.545 * [taylor]: Taking taylor expansion of (/ x y) in y 0.545 * [taylor]: Taking taylor expansion of x in y 0.545 * [taylor]: Taking taylor expansion of y in y 0.545 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.545 * [taylor]: Taking taylor expansion of 1/2 in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of 0 in x 0.548 * [taylor]: Taking taylor expansion of 0 in x 0.551 * [taylor]: Taking taylor expansion of 0 in x 0.551 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.551 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.551 * [taylor]: Taking taylor expansion of 1/2 in x 0.551 * [taylor]: Taking taylor expansion of (/ x y) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of y in x 0.551 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.551 * [taylor]: Taking taylor expansion of 1/2 in y 0.551 * [taylor]: Taking taylor expansion of (/ x y) in y 0.551 * [taylor]: Taking taylor expansion of x in y 0.551 * [taylor]: Taking taylor expansion of y in y 0.551 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.551 * [taylor]: Taking taylor expansion of 1/2 in y 0.551 * [taylor]: Taking taylor expansion of (/ x y) in y 0.551 * [taylor]: Taking taylor expansion of x in y 0.551 * [taylor]: Taking taylor expansion of y in y 0.551 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.551 * [taylor]: Taking taylor expansion of 1/2 in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.552 * [taylor]: Taking taylor expansion of 0 in x 0.554 * [taylor]: Taking taylor expansion of 0 in x 0.557 * [taylor]: Taking taylor expansion of 0 in x 0.557 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.557 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0 0.557 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 0.557 * [taylor]: Taking taylor expansion of x in y 0.557 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.557 * [taylor]: Taking taylor expansion of 1/2 in y 0.557 * [taylor]: Taking taylor expansion of (/ y x) in y 0.557 * [taylor]: Taking taylor expansion of y in y 0.557 * [taylor]: Taking taylor expansion of x in y 0.557 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.557 * [taylor]: Taking taylor expansion of 1/2 in x 0.557 * [taylor]: Taking taylor expansion of (/ y x) in x 0.557 * [taylor]: Taking taylor expansion of y in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.558 * [taylor]: Taking taylor expansion of 1/2 in x 0.558 * [taylor]: Taking taylor expansion of (/ y x) in x 0.558 * [taylor]: Taking taylor expansion of y in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.558 * [taylor]: Taking taylor expansion of 1/2 in y 0.558 * [taylor]: Taking taylor expansion of y in y 0.559 * [taylor]: Taking taylor expansion of 0 in y 0.561 * [taylor]: Taking taylor expansion of 1 in y 0.566 * [taylor]: Taking taylor expansion of 0 in y 0.568 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 0.568 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 0.568 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.568 * [taylor]: Taking taylor expansion of 1/2 in y 0.568 * [taylor]: Taking taylor expansion of (/ x y) in y 0.568 * [taylor]: Taking taylor expansion of x in y 0.568 * [taylor]: Taking taylor expansion of y in y 0.568 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.568 * [taylor]: Taking taylor expansion of x in y 0.568 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.568 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.568 * [taylor]: Taking taylor expansion of 1/2 in x 0.568 * [taylor]: Taking taylor expansion of (/ x y) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of y in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.569 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.569 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.569 * [taylor]: Taking taylor expansion of 1/2 in x 0.569 * [taylor]: Taking taylor expansion of (/ x y) in x 0.569 * [taylor]: Taking taylor expansion of x in x 0.569 * [taylor]: Taking taylor expansion of y in x 0.569 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.569 * [taylor]: Taking taylor expansion of x in x 0.592 * [taylor]: Taking taylor expansion of 1 in y 0.593 * [taylor]: Taking taylor expansion of 0 in y 0.594 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.594 * [taylor]: Taking taylor expansion of 1/2 in y 0.594 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.594 * [taylor]: Taking taylor expansion of y in y 0.596 * [taylor]: Taking taylor expansion of 0 in y 0.599 * [taylor]: Taking taylor expansion of 0 in y 0.599 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 0.599 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y 0.599 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.599 * [taylor]: Taking taylor expansion of 1/2 in y 0.599 * [taylor]: Taking taylor expansion of (/ x y) in y 0.599 * [taylor]: Taking taylor expansion of x in y 0.599 * [taylor]: Taking taylor expansion of y in y 0.599 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.599 * [taylor]: Taking taylor expansion of x in y 0.599 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 0.599 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.599 * [taylor]: Taking taylor expansion of 1/2 in x 0.599 * [taylor]: Taking taylor expansion of (/ x y) in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.599 * [taylor]: Taking taylor expansion of y in x 0.599 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.600 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 0.600 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.600 * [taylor]: Taking taylor expansion of 1/2 in x 0.600 * [taylor]: Taking taylor expansion of (/ x y) in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.600 * [taylor]: Taking taylor expansion of y in x 0.600 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of -1 in y 0.602 * [taylor]: Taking taylor expansion of 0 in y 0.603 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.603 * [taylor]: Taking taylor expansion of 1/2 in y 0.603 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.603 * [taylor]: Taking taylor expansion of y in y 0.608 * [taylor]: Taking taylor expansion of 0 in y 0.611 * [taylor]: Taking taylor expansion of 0 in y 0.612 * * * [progress]: simplifying candidates 0.612 * [simplify]: Simplifying using # : (* 1/2 (/ y x)) (+ (log 1/2) (- (log y) (log x))) (+ (log 1/2) (log (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (* (* (* 1/2 1/2) 1/2) (/ (* (* y y) y) (* (* x x) x))) (* (* (* 1/2 1/2) 1/2) (* (* (/ y x) (/ y x)) (/ y x))) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (* (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) 1)) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* 1/2 (/ (sqrt y) 1)) (* 1/2 (/ 1 (* (cbrt x) (cbrt x)))) (* 1/2 (/ 1 (sqrt x))) (* 1/2 (/ 1 1)) (* 1/2 1) (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (* (exp x) (exp (* 1/2 (/ y x)))) (log (+ x (* 1/2 (/ y x)))) (exp (+ x (* 1/2 (/ y x)))) (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x))))) (cbrt (+ x (* 1/2 (/ y x)))) (* (* (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x)))) (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (+ (pow x 3) (pow (* 1/2 (/ y x)) 3)) (+ (* x x) (- (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* x (* 1/2 (/ y x))))) (- (* x x) (* (* 1/2 (/ y x)) (* 1/2 (/ y x)))) (- x (* 1/2 (/ y x))) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 0.617 * * [simplify]: iteration 0 : 223 enodes (cost 199 ) 0.622 * * [simplify]: iteration 1 : 960 enodes (cost 187 ) 0.646 * * [simplify]: iteration 2 : 4238 enodes (cost 187 ) 0.725 * * [simplify]: iteration 3 : 5001 enodes (cost 187 ) 0.726 * [simplify]: Simplified to: (* 1/2 (/ y x)) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (pow (* 1/2 (/ y x)) 3) (pow (* 1/2 (/ y x)) 3) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (pow (* 1/2 (/ y x)) 3) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* (* (cbrt y) (cbrt y)) 1/2) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* (sqrt y) 1/2) (/ 1/2 (* (cbrt x) (cbrt x))) (/ 1/2 (sqrt x)) 1/2 1/2 (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (exp (+ x (* 1/2 (/ y x)))) (log (+ x (* 1/2 (/ y x)))) (exp (+ x (* 1/2 (/ y x)))) (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x))))) (cbrt (+ x (* 1/2 (/ y x)))) (pow (+ x (* 1/2 (/ y x))) 3) (sqrt (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (+ (pow x 3) (pow (* 1/2 (/ y x)) 3)) (+ (* (* 1/2 (/ y x)) (- (* 1/2 (/ y x)) x)) (* x x)) (- (* x x) (* (* 1/2 (/ y x)) (* 1/2 (/ y x)))) (- x (* 1/2 (/ y x))) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 0.727 * * * [progress]: adding candidates to table 0.824 * [progress]: [Phase 3 of 3] Extracting. 0.824 * * [regime]: Finding splitpoints for: (# # #) 0.825 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 0.825 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 0.842 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # #) 0.864 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # #) 0.888 * * * * [regimes]: Trying to branch on y from (# # #) 0.933 * * * * [regimes]: Trying to branch on x from (# # #) 0.957 * * * [regime]: Found split indices: #