10.907 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.180 * * * [progress]: [2/2] Setting up program. 0.184 * [progress]: [Phase 2 of 3] Improving. 0.184 * [simplify]: Simplifying: (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 0.185 * * [simplify]: iteration 0: 8 enodes 0.186 * * [simplify]: iteration 1: 11 enodes 0.187 * * [simplify]: iteration 2: 13 enodes 0.188 * * [simplify]: iteration complete: 13 enodes 0.189 * * [simplify]: Extracting #0: cost 1 inf + 0 0.189 * * [simplify]: Extracting #1: cost 3 inf + 0 0.189 * * [simplify]: Extracting #2: cost 4 inf + 0 0.189 * * [simplify]: Extracting #3: cost 10 inf + 0 0.189 * * [simplify]: Extracting #4: cost 6 inf + 6 0.189 * * [simplify]: Extracting #5: cost 0 inf + 42 0.189 * [simplify]: Simplified to: (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))) 0.230 * * [progress]: iteration 1 / 4 0.230 * * * [progress]: picking best candidate 0.233 * * * * [pick]: Picked # 0.233 * * * [progress]: localizing error 0.249 * * * [progress]: generating rewritten candidates 0.249 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.251 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.259 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.279 * * * [progress]: generating series expansions 0.279 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.279 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y))) 0.279 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0 0.279 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 0.280 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.280 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.280 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.280 * [taylor]: Taking taylor expansion of 0.5 in y 0.280 * [backup-simplify]: Simplify 0.5 into 0.5 0.280 * [taylor]: Taking taylor expansion of (/ x y) in y 0.280 * [taylor]: Taking taylor expansion of x in y 0.280 * [backup-simplify]: Simplify x into x 0.280 * [taylor]: Taking taylor expansion of y in y 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify 1 into 1 0.280 * [backup-simplify]: Simplify (/ x 1) into x 0.280 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.280 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 0.280 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 0.280 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.280 * [taylor]: Taking taylor expansion of 0.5 in y 0.280 * [backup-simplify]: Simplify 0.5 into 0.5 0.280 * [taylor]: Taking taylor expansion of (/ x y) in y 0.281 * [taylor]: Taking taylor expansion of x in y 0.281 * [backup-simplify]: Simplify x into x 0.281 * [taylor]: Taking taylor expansion of y in y 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [backup-simplify]: Simplify (/ x 1) into x 0.281 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.281 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 0.281 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.281 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 0.281 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.281 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.281 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.282 * [taylor]: Taking taylor expansion of 0.5 in x 0.282 * [backup-simplify]: Simplify 0.5 into 0.5 0.282 * [taylor]: Taking taylor expansion of (/ x y) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [taylor]: Taking taylor expansion of y in x 0.282 * [backup-simplify]: Simplify y into y 0.282 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.282 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.282 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 0.282 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.282 * [taylor]: Taking taylor expansion of 0.5 in x 0.282 * [backup-simplify]: Simplify 0.5 into 0.5 0.282 * [taylor]: Taking taylor expansion of (/ x y) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [taylor]: Taking taylor expansion of y in x 0.282 * [backup-simplify]: Simplify y into y 0.282 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.282 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.283 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.283 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 0.283 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 0.283 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.283 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.283 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.283 * [taylor]: Taking taylor expansion of 0.5 in x 0.283 * [backup-simplify]: Simplify 0.5 into 0.5 0.283 * [taylor]: Taking taylor expansion of (/ x y) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 1 into 1 0.283 * [taylor]: Taking taylor expansion of y in x 0.283 * [backup-simplify]: Simplify y into y 0.283 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.283 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.283 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 0.283 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.283 * [taylor]: Taking taylor expansion of 0.5 in x 0.283 * [backup-simplify]: Simplify 0.5 into 0.5 0.283 * [taylor]: Taking taylor expansion of (/ x y) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 1 into 1 0.283 * [taylor]: Taking taylor expansion of y in x 0.284 * [backup-simplify]: Simplify y into y 0.284 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.284 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.284 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.284 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 0.284 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 0.284 * [taylor]: Taking taylor expansion of 0.5 in y 0.284 * [backup-simplify]: Simplify 0.5 into 0.5 0.284 * [taylor]: Taking taylor expansion of y in y 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 0.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.287 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.288 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.288 * [backup-simplify]: Simplify (+ 0) into 0 0.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0 0.289 * [taylor]: Taking taylor expansion of 0 in y 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.292 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.293 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 0.293 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 0.294 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 1) (+ (* (/ 0.5 y) (/ (- (* 0.125 (/ 1 (pow y 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow y 3))) 0.294 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y 0.294 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y 0.294 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667 0.294 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.295 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.295 * [taylor]: Taking taylor expansion of y in y 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify (* 1 1) into 1 0.295 * [backup-simplify]: Simplify (* 1 1) into 1 0.296 * [backup-simplify]: Simplify (/ 1 1) into 1 0.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x))) 0.307 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 0.307 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.307 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.307 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.307 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.307 * [taylor]: Taking taylor expansion of 0.5 in y 0.307 * [backup-simplify]: Simplify 0.5 into 0.5 0.307 * [taylor]: Taking taylor expansion of (/ y x) in y 0.307 * [taylor]: Taking taylor expansion of y in y 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [taylor]: Taking taylor expansion of x in y 0.307 * [backup-simplify]: Simplify x into x 0.307 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.307 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.307 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.307 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.308 * [taylor]: Taking taylor expansion of 0.5 in y 0.308 * [backup-simplify]: Simplify 0.5 into 0.5 0.308 * [taylor]: Taking taylor expansion of (/ y x) in y 0.308 * [taylor]: Taking taylor expansion of y in y 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [taylor]: Taking taylor expansion of x in y 0.308 * [backup-simplify]: Simplify x into x 0.308 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.308 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.308 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.308 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.308 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.308 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.308 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.308 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.309 * [taylor]: Taking taylor expansion of 0.5 in x 0.309 * [backup-simplify]: Simplify 0.5 into 0.5 0.309 * [taylor]: Taking taylor expansion of (/ y x) in x 0.309 * [taylor]: Taking taylor expansion of y in x 0.309 * [backup-simplify]: Simplify y into y 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (/ y 1) into y 0.309 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.309 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.309 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.309 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.309 * [taylor]: Taking taylor expansion of 0.5 in x 0.309 * [backup-simplify]: Simplify 0.5 into 0.5 0.309 * [taylor]: Taking taylor expansion of (/ y x) in x 0.309 * [taylor]: Taking taylor expansion of y in x 0.309 * [backup-simplify]: Simplify y into y 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (/ y 1) into y 0.310 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.310 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.310 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.310 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.311 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.311 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.311 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.311 * [taylor]: Taking taylor expansion of 0.5 in x 0.311 * [backup-simplify]: Simplify 0.5 into 0.5 0.311 * [taylor]: Taking taylor expansion of (/ y x) in x 0.311 * [taylor]: Taking taylor expansion of y in x 0.311 * [backup-simplify]: Simplify y into y 0.311 * [taylor]: Taking taylor expansion of x in x 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 1 into 1 0.311 * [backup-simplify]: Simplify (/ y 1) into y 0.311 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.311 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.311 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.311 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.311 * [taylor]: Taking taylor expansion of 0.5 in x 0.311 * [backup-simplify]: Simplify 0.5 into 0.5 0.311 * [taylor]: Taking taylor expansion of (/ y x) in x 0.311 * [taylor]: Taking taylor expansion of y in x 0.311 * [backup-simplify]: Simplify y into y 0.311 * [taylor]: Taking taylor expansion of x in x 0.311 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [backup-simplify]: Simplify (/ y 1) into y 0.312 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.312 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.312 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.312 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 0.312 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.312 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.312 * [taylor]: Taking taylor expansion of 0.5 in y 0.312 * [backup-simplify]: Simplify 0.5 into 0.5 0.312 * [taylor]: Taking taylor expansion of (/ y x) in y 0.312 * [taylor]: Taking taylor expansion of y in y 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [taylor]: Taking taylor expansion of x in y 0.312 * [backup-simplify]: Simplify x into x 0.313 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.313 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.313 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.313 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.313 * [taylor]: Taking taylor expansion of 0.5 in y 0.313 * [backup-simplify]: Simplify 0.5 into 0.5 0.313 * [taylor]: Taking taylor expansion of (/ y x) in y 0.313 * [taylor]: Taking taylor expansion of y in y 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 1 into 1 0.313 * [taylor]: Taking taylor expansion of x in y 0.313 * [backup-simplify]: Simplify x into x 0.313 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.313 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.313 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.314 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.314 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 0.314 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.314 * [taylor]: Taking taylor expansion of 0 in y 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.315 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.316 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.317 * [backup-simplify]: Simplify (+ 0) into 0 0.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.318 * [taylor]: Taking taylor expansion of 0 in y 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.320 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.321 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 0.321 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 0.322 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 1) (+ (* (/ 0.5 x) (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow x 3))) 0.322 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 0.323 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.323 * [taylor]: Taking taylor expansion of 0 in y 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.325 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 0.326 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.327 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.327 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.328 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.04166666666666667 (/ 1 (pow x 3))) (/ 0 1)))) into 0 0.329 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.330 * [taylor]: Taking taylor expansion of 0 in y 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 x) 3)) (pow (* (/ 1 y) 1) 3)) (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) 0.331 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x))) 0.331 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 0.331 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.331 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.331 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.332 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.332 * [taylor]: Taking taylor expansion of 0.5 in y 0.332 * [backup-simplify]: Simplify 0.5 into 0.5 0.332 * [taylor]: Taking taylor expansion of (/ y x) in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [taylor]: Taking taylor expansion of x in y 0.332 * [backup-simplify]: Simplify x into x 0.332 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.332 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.332 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.332 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.332 * [taylor]: Taking taylor expansion of 0.5 in y 0.332 * [backup-simplify]: Simplify 0.5 into 0.5 0.332 * [taylor]: Taking taylor expansion of (/ y x) in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [taylor]: Taking taylor expansion of x in y 0.332 * [backup-simplify]: Simplify x into x 0.332 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.332 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.332 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.333 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.333 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.333 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.333 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.333 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.333 * [taylor]: Taking taylor expansion of 0.5 in x 0.333 * [backup-simplify]: Simplify 0.5 into 0.5 0.333 * [taylor]: Taking taylor expansion of (/ y x) in x 0.333 * [taylor]: Taking taylor expansion of y in x 0.333 * [backup-simplify]: Simplify y into y 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify (/ y 1) into y 0.333 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.333 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.333 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.333 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.333 * [taylor]: Taking taylor expansion of 0.5 in x 0.333 * [backup-simplify]: Simplify 0.5 into 0.5 0.333 * [taylor]: Taking taylor expansion of (/ y x) in x 0.333 * [taylor]: Taking taylor expansion of y in x 0.333 * [backup-simplify]: Simplify y into y 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify (/ y 1) into y 0.334 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.334 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.334 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.334 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.334 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.334 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.334 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.334 * [taylor]: Taking taylor expansion of 0.5 in x 0.334 * [backup-simplify]: Simplify 0.5 into 0.5 0.334 * [taylor]: Taking taylor expansion of (/ y x) in x 0.334 * [taylor]: Taking taylor expansion of y in x 0.334 * [backup-simplify]: Simplify y into y 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (/ y 1) into y 0.334 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.334 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.334 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.334 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.335 * [taylor]: Taking taylor expansion of 0.5 in x 0.335 * [backup-simplify]: Simplify 0.5 into 0.5 0.335 * [taylor]: Taking taylor expansion of (/ y x) in x 0.335 * [taylor]: Taking taylor expansion of y in x 0.335 * [backup-simplify]: Simplify y into y 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [backup-simplify]: Simplify (/ y 1) into y 0.335 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.335 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.335 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.335 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 0.336 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.336 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.336 * [taylor]: Taking taylor expansion of 0.5 in y 0.336 * [backup-simplify]: Simplify 0.5 into 0.5 0.336 * [taylor]: Taking taylor expansion of (/ y x) in y 0.336 * [taylor]: Taking taylor expansion of y in y 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [taylor]: Taking taylor expansion of x in y 0.336 * [backup-simplify]: Simplify x into x 0.336 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.336 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.336 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.336 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.336 * [taylor]: Taking taylor expansion of 0.5 in y 0.336 * [backup-simplify]: Simplify 0.5 into 0.5 0.336 * [taylor]: Taking taylor expansion of (/ y x) in y 0.336 * [taylor]: Taking taylor expansion of y in y 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [taylor]: Taking taylor expansion of x in y 0.336 * [backup-simplify]: Simplify x into x 0.336 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.336 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.336 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.337 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.337 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 0.337 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.337 * [taylor]: Taking taylor expansion of 0 in y 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.338 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.339 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.339 * [backup-simplify]: Simplify (+ 0) into 0 0.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 0.340 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.341 * [taylor]: Taking taylor expansion of 0 in y 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.342 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.343 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 0.343 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 0.345 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 1) (+ (* (/ 0.5 x) (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow x 3))) 0.345 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 0.345 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.346 * [taylor]: Taking taylor expansion of 0 in y 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.347 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 0.348 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.349 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.349 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.350 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.04166666666666667 (/ 1 (pow x 3))) (/ 0 1)))) into 0 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.353 * [taylor]: Taking taylor expansion of 0 in y 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 (- x)) 3)) (pow (* (/ 1 (- y)) 1) 3)) (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) 0.353 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.353 * [backup-simplify]: Simplify (sin (/ x (* y 2.0))) into (sin (* 0.5 (/ x y))) 0.354 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in (x y) around 0 0.354 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.354 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.354 * [taylor]: Taking taylor expansion of 0.5 in y 0.354 * [backup-simplify]: Simplify 0.5 into 0.5 0.354 * [taylor]: Taking taylor expansion of (/ x y) in y 0.354 * [taylor]: Taking taylor expansion of x in y 0.354 * [backup-simplify]: Simplify x into x 0.354 * [taylor]: Taking taylor expansion of y in y 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [backup-simplify]: Simplify (/ x 1) into x 0.354 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.354 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 0.354 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.354 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.354 * [taylor]: Taking taylor expansion of 0.5 in x 0.354 * [backup-simplify]: Simplify 0.5 into 0.5 0.354 * [taylor]: Taking taylor expansion of (/ x y) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [taylor]: Taking taylor expansion of y in x 0.354 * [backup-simplify]: Simplify y into y 0.354 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.354 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.354 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.354 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.355 * [taylor]: Taking taylor expansion of 0.5 in x 0.355 * [backup-simplify]: Simplify 0.5 into 0.5 0.355 * [taylor]: Taking taylor expansion of (/ x y) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 1 into 1 0.355 * [taylor]: Taking taylor expansion of y in x 0.355 * [backup-simplify]: Simplify y into y 0.355 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.355 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.355 * [taylor]: Taking taylor expansion of 0 in y 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.355 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.355 * [taylor]: Taking taylor expansion of 0.5 in y 0.355 * [backup-simplify]: Simplify 0.5 into 0.5 0.355 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.355 * [taylor]: Taking taylor expansion of y in y 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 1 into 1 0.364 * [backup-simplify]: Simplify (/ 1 1) into 1 0.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.367 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.367 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.368 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.368 * [taylor]: Taking taylor expansion of 0 in y 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.370 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify (sin (/ (/ 1 x) (* (/ 1 y) 2.0))) into (sin (* 0.5 (/ y x))) 0.371 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0 0.371 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.371 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.371 * [taylor]: Taking taylor expansion of 0.5 in y 0.371 * [backup-simplify]: Simplify 0.5 into 0.5 0.371 * [taylor]: Taking taylor expansion of (/ y x) in y 0.371 * [taylor]: Taking taylor expansion of y in y 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 1 into 1 0.371 * [taylor]: Taking taylor expansion of x in y 0.371 * [backup-simplify]: Simplify x into x 0.371 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.371 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.371 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.371 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.371 * [taylor]: Taking taylor expansion of 0.5 in x 0.371 * [backup-simplify]: Simplify 0.5 into 0.5 0.371 * [taylor]: Taking taylor expansion of (/ y x) in x 0.371 * [taylor]: Taking taylor expansion of y in x 0.371 * [backup-simplify]: Simplify y into y 0.371 * [taylor]: Taking taylor expansion of x in x 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 1 into 1 0.371 * [backup-simplify]: Simplify (/ y 1) into y 0.371 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.372 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.372 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.372 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.372 * [taylor]: Taking taylor expansion of 0.5 in x 0.372 * [backup-simplify]: Simplify 0.5 into 0.5 0.372 * [taylor]: Taking taylor expansion of (/ y x) in x 0.372 * [taylor]: Taking taylor expansion of y in x 0.372 * [backup-simplify]: Simplify y into y 0.372 * [taylor]: Taking taylor expansion of x in x 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [backup-simplify]: Simplify (/ y 1) into y 0.372 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.372 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.372 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.372 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.372 * [taylor]: Taking taylor expansion of 0.5 in y 0.372 * [backup-simplify]: Simplify 0.5 into 0.5 0.372 * [taylor]: Taking taylor expansion of (/ y x) in y 0.372 * [taylor]: Taking taylor expansion of y in y 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [taylor]: Taking taylor expansion of x in y 0.372 * [backup-simplify]: Simplify x into x 0.373 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.373 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [taylor]: Taking taylor expansion of 0 in y 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.373 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.373 * [taylor]: Taking taylor expansion of 0 in y 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.374 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.375 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [taylor]: Taking taylor expansion of 0 in y 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1)) into (* 0.5 (/ x y)) 0.376 * [backup-simplify]: Simplify (sin (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (sin (* 0.5 (/ y x))) 0.376 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0 0.376 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.376 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.376 * [taylor]: Taking taylor expansion of 0.5 in y 0.376 * [backup-simplify]: Simplify 0.5 into 0.5 0.376 * [taylor]: Taking taylor expansion of (/ y x) in y 0.376 * [taylor]: Taking taylor expansion of y in y 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 1 into 1 0.376 * [taylor]: Taking taylor expansion of x in y 0.376 * [backup-simplify]: Simplify x into x 0.376 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.376 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.376 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.376 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.376 * [taylor]: Taking taylor expansion of 0.5 in x 0.376 * [backup-simplify]: Simplify 0.5 into 0.5 0.376 * [taylor]: Taking taylor expansion of (/ y x) in x 0.376 * [taylor]: Taking taylor expansion of y in x 0.376 * [backup-simplify]: Simplify y into y 0.376 * [taylor]: Taking taylor expansion of x in x 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 1 into 1 0.376 * [backup-simplify]: Simplify (/ y 1) into y 0.376 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.376 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.377 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.377 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.377 * [taylor]: Taking taylor expansion of 0.5 in x 0.377 * [backup-simplify]: Simplify 0.5 into 0.5 0.377 * [taylor]: Taking taylor expansion of (/ y x) in x 0.377 * [taylor]: Taking taylor expansion of y in x 0.377 * [backup-simplify]: Simplify y into y 0.377 * [taylor]: Taking taylor expansion of x in x 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.377 * [backup-simplify]: Simplify (/ y 1) into y 0.377 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.377 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.377 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.377 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.377 * [taylor]: Taking taylor expansion of 0.5 in y 0.377 * [backup-simplify]: Simplify 0.5 into 0.5 0.377 * [taylor]: Taking taylor expansion of (/ y x) in y 0.377 * [taylor]: Taking taylor expansion of y in y 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.377 * [taylor]: Taking taylor expansion of x in y 0.377 * [backup-simplify]: Simplify x into x 0.377 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.377 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [taylor]: Taking taylor expansion of 0 in y 0.377 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.378 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.378 * [taylor]: Taking taylor expansion of 0 in y 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.379 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.379 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.379 * [backup-simplify]: Simplify 0 into 0 0.380 * [taylor]: Taking taylor expansion of 0 in y 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1)) into (* 0.5 (/ x y)) 0.380 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.380 * [backup-simplify]: Simplify (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) into (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) 0.380 * [approximate]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in (x y) around 0 0.380 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in y 0.380 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 0.380 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.380 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.380 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.381 * [taylor]: Taking taylor expansion of 0.5 in y 0.381 * [backup-simplify]: Simplify 0.5 into 0.5 0.381 * [taylor]: Taking taylor expansion of (/ x y) in y 0.381 * [taylor]: Taking taylor expansion of x in y 0.381 * [backup-simplify]: Simplify x into x 0.381 * [taylor]: Taking taylor expansion of y in y 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 1 into 1 0.381 * [backup-simplify]: Simplify (/ x 1) into x 0.381 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.381 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 0.381 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 0.381 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.381 * [taylor]: Taking taylor expansion of 0.5 in y 0.381 * [backup-simplify]: Simplify 0.5 into 0.5 0.381 * [taylor]: Taking taylor expansion of (/ x y) in y 0.381 * [taylor]: Taking taylor expansion of x in y 0.381 * [backup-simplify]: Simplify x into x 0.381 * [taylor]: Taking taylor expansion of y in y 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 1 into 1 0.381 * [backup-simplify]: Simplify (/ x 1) into x 0.381 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.381 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 0.382 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.382 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.382 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.382 * [taylor]: Taking taylor expansion of 0.5 in y 0.382 * [backup-simplify]: Simplify 0.5 into 0.5 0.382 * [taylor]: Taking taylor expansion of (/ x y) in y 0.382 * [taylor]: Taking taylor expansion of x in y 0.382 * [backup-simplify]: Simplify x into x 0.382 * [taylor]: Taking taylor expansion of y in y 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 1 into 1 0.382 * [backup-simplify]: Simplify (/ x 1) into x 0.382 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.382 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 0.382 * [backup-simplify]: Simplify (/ (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) (sin (* 0.5 (/ x y)))) into (/ 1 (cos (* 0.5 (/ x y)))) 0.382 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in x 0.383 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 0.383 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.383 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.383 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.383 * [taylor]: Taking taylor expansion of 0.5 in x 0.383 * [backup-simplify]: Simplify 0.5 into 0.5 0.383 * [taylor]: Taking taylor expansion of (/ x y) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 1 into 1 0.383 * [taylor]: Taking taylor expansion of y in x 0.383 * [backup-simplify]: Simplify y into y 0.383 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.383 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.383 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 0.383 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.383 * [taylor]: Taking taylor expansion of 0.5 in x 0.383 * [backup-simplify]: Simplify 0.5 into 0.5 0.383 * [taylor]: Taking taylor expansion of (/ x y) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 1 into 1 0.383 * [taylor]: Taking taylor expansion of y in x 0.383 * [backup-simplify]: Simplify y into y 0.383 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.383 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.384 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.384 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 0.384 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.384 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.384 * [taylor]: Taking taylor expansion of 0.5 in x 0.384 * [backup-simplify]: Simplify 0.5 into 0.5 0.384 * [taylor]: Taking taylor expansion of (/ x y) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [taylor]: Taking taylor expansion of y in x 0.384 * [backup-simplify]: Simplify y into y 0.384 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.384 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.384 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.385 * [backup-simplify]: Simplify (/ (/ 0.5 y) (* 0.5 (/ 1 y))) into 1.0 0.385 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in x 0.385 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 0.385 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.385 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.385 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.385 * [taylor]: Taking taylor expansion of 0.5 in x 0.385 * [backup-simplify]: Simplify 0.5 into 0.5 0.385 * [taylor]: Taking taylor expansion of (/ x y) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify 1 into 1 0.385 * [taylor]: Taking taylor expansion of y in x 0.385 * [backup-simplify]: Simplify y into y 0.385 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.386 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.386 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 0.386 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.386 * [taylor]: Taking taylor expansion of 0.5 in x 0.386 * [backup-simplify]: Simplify 0.5 into 0.5 0.386 * [taylor]: Taking taylor expansion of (/ x y) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 1 into 1 0.386 * [taylor]: Taking taylor expansion of y in x 0.386 * [backup-simplify]: Simplify y into y 0.386 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.386 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.386 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.386 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 0.386 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.386 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.386 * [taylor]: Taking taylor expansion of 0.5 in x 0.386 * [backup-simplify]: Simplify 0.5 into 0.5 0.386 * [taylor]: Taking taylor expansion of (/ x y) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 1 into 1 0.386 * [taylor]: Taking taylor expansion of y in x 0.386 * [backup-simplify]: Simplify y into y 0.387 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.387 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.387 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.387 * [backup-simplify]: Simplify (/ (/ 0.5 y) (* 0.5 (/ 1 y))) into 1.0 0.387 * [taylor]: Taking taylor expansion of 1.0 in y 0.387 * [backup-simplify]: Simplify 1.0 into 1.0 0.387 * [backup-simplify]: Simplify 1.0 into 1.0 0.387 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.388 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.389 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.389 * [backup-simplify]: Simplify (+ 0) into 0 0.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0 0.390 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.391 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.391 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.392 * [backup-simplify]: Simplify (- (/ 0 (* 0.5 (/ 1 y))) (+ (* 1.0 (/ 0 (* 0.5 (/ 1 y)))))) into 0 0.392 * [taylor]: Taking taylor expansion of 0 in y 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.393 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.394 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 0.394 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 0.395 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 1) (+ (* (/ 0.5 y) (/ (- (* 0.125 (/ 1 (pow y 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow y 3))) 0.395 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.396 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.397 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 0.398 * [backup-simplify]: Simplify (- (/ (* 0.04166666666666667 (/ 1 (pow y 3))) (* 0.5 (/ 1 y))) (+ (* 1.0 (/ (- (* 0.020833333333333332 (/ 1 (pow y 3)))) (* 0.5 (/ 1 y)))) (* 0 (/ 0 (* 0.5 (/ 1 y)))))) into (* 0.125 (/ 1 (pow y 2))) 0.398 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow y 2))) in y 0.398 * [taylor]: Taking taylor expansion of 0.125 in y 0.398 * [backup-simplify]: Simplify 0.125 into 0.125 0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.398 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.398 * [taylor]: Taking taylor expansion of y in y 0.398 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify 1 into 1 0.398 * [backup-simplify]: Simplify (* 1 1) into 1 0.399 * [backup-simplify]: Simplify (/ 1 1) into 1 0.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.403 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (* 0 1))) into 0 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.404 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.406 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.406 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.406 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.407 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow y 2)))) 1)) (* (* 0.04166666666666667 (/ 1 (pow y 3))) (/ 0 1)))) into 0 0.409 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.410 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.411 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.412 * [backup-simplify]: Simplify (- (/ 0 (* 0.5 (/ 1 y))) (+ (* 1.0 (/ 0 (* 0.5 (/ 1 y)))) (* 0 (/ (- (* 0.020833333333333332 (/ 1 (pow y 3)))) (* 0.5 (/ 1 y)))) (* (* 0.125 (/ 1 (pow y 2))) (/ 0 (* 0.5 (/ 1 y)))))) into 0 0.412 * [taylor]: Taking taylor expansion of 0 in y 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 1.0 into 1.0 0.413 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) (sin (/ (/ 1 x) (* (/ 1 y) 2.0)))) into (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) 0.413 * [approximate]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in (x y) around 0 0.413 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in y 0.413 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.413 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.413 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.413 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.413 * [taylor]: Taking taylor expansion of 0.5 in y 0.413 * [backup-simplify]: Simplify 0.5 into 0.5 0.413 * [taylor]: Taking taylor expansion of (/ y x) in y 0.413 * [taylor]: Taking taylor expansion of y in y 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [taylor]: Taking taylor expansion of x in y 0.413 * [backup-simplify]: Simplify x into x 0.413 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.413 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.413 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.413 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.413 * [taylor]: Taking taylor expansion of 0.5 in y 0.413 * [backup-simplify]: Simplify 0.5 into 0.5 0.413 * [taylor]: Taking taylor expansion of (/ y x) in y 0.413 * [taylor]: Taking taylor expansion of y in y 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [taylor]: Taking taylor expansion of x in y 0.413 * [backup-simplify]: Simplify x into x 0.413 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.414 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.414 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.414 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.414 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.414 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.414 * [taylor]: Taking taylor expansion of 0.5 in y 0.414 * [backup-simplify]: Simplify 0.5 into 0.5 0.414 * [taylor]: Taking taylor expansion of (/ y x) in y 0.414 * [taylor]: Taking taylor expansion of y in y 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 1 into 1 0.414 * [taylor]: Taking taylor expansion of x in y 0.414 * [backup-simplify]: Simplify x into x 0.414 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.414 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.414 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.415 * [backup-simplify]: Simplify (/ (/ 0.5 x) (* 0.5 (/ 1 x))) into 1.0 0.415 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x 0.415 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.415 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.415 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.415 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.415 * [taylor]: Taking taylor expansion of 0.5 in x 0.415 * [backup-simplify]: Simplify 0.5 into 0.5 0.415 * [taylor]: Taking taylor expansion of (/ y x) in x 0.415 * [taylor]: Taking taylor expansion of y in x 0.415 * [backup-simplify]: Simplify y into y 0.415 * [taylor]: Taking taylor expansion of x in x 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [backup-simplify]: Simplify (/ y 1) into y 0.415 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.415 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.415 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.415 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.415 * [taylor]: Taking taylor expansion of 0.5 in x 0.415 * [backup-simplify]: Simplify 0.5 into 0.5 0.415 * [taylor]: Taking taylor expansion of (/ y x) in x 0.415 * [taylor]: Taking taylor expansion of y in x 0.415 * [backup-simplify]: Simplify y into y 0.415 * [taylor]: Taking taylor expansion of x in x 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify (/ y 1) into y 0.416 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.416 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.416 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.416 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.416 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.416 * [taylor]: Taking taylor expansion of 0.5 in x 0.416 * [backup-simplify]: Simplify 0.5 into 0.5 0.416 * [taylor]: Taking taylor expansion of (/ y x) in x 0.416 * [taylor]: Taking taylor expansion of y in x 0.416 * [backup-simplify]: Simplify y into y 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify (/ y 1) into y 0.416 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.416 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.417 * [backup-simplify]: Simplify (/ (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (sin (* 0.5 (/ y x)))) into (/ 1 (cos (* 0.5 (/ y x)))) 0.417 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x 0.417 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.417 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.417 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.417 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.417 * [taylor]: Taking taylor expansion of 0.5 in x 0.417 * [backup-simplify]: Simplify 0.5 into 0.5 0.417 * [taylor]: Taking taylor expansion of (/ y x) in x 0.417 * [taylor]: Taking taylor expansion of y in x 0.417 * [backup-simplify]: Simplify y into y 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [backup-simplify]: Simplify (/ y 1) into y 0.417 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.417 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.417 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.417 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.417 * [taylor]: Taking taylor expansion of 0.5 in x 0.417 * [backup-simplify]: Simplify 0.5 into 0.5 0.417 * [taylor]: Taking taylor expansion of (/ y x) in x 0.417 * [taylor]: Taking taylor expansion of y in x 0.418 * [backup-simplify]: Simplify y into y 0.418 * [taylor]: Taking taylor expansion of x in x 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [backup-simplify]: Simplify (/ y 1) into y 0.418 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.418 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.418 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.418 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.418 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.418 * [taylor]: Taking taylor expansion of 0.5 in x 0.418 * [backup-simplify]: Simplify 0.5 into 0.5 0.418 * [taylor]: Taking taylor expansion of (/ y x) in x 0.418 * [taylor]: Taking taylor expansion of y in x 0.418 * [backup-simplify]: Simplify y into y 0.418 * [taylor]: Taking taylor expansion of x in x 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [backup-simplify]: Simplify (/ y 1) into y 0.418 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.418 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.419 * [backup-simplify]: Simplify (/ (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (sin (* 0.5 (/ y x)))) into (/ 1 (cos (* 0.5 (/ y x)))) 0.419 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y 0.419 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.419 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.419 * [taylor]: Taking taylor expansion of 0.5 in y 0.419 * [backup-simplify]: Simplify 0.5 into 0.5 0.419 * [taylor]: Taking taylor expansion of (/ y x) in y 0.419 * [taylor]: Taking taylor expansion of y in y 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [taylor]: Taking taylor expansion of x in y 0.419 * [backup-simplify]: Simplify x into x 0.419 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.419 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.420 * [backup-simplify]: Simplify (/ 1 1) into 1 0.420 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.421 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))))) into 0 0.421 * [taylor]: Taking taylor expansion of 0 in y 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify (+ 0) into 0 0.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.422 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.423 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))))) into 0 0.423 * [taylor]: Taking taylor expansion of 0 in y 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.125 (/ 1 (pow x 2))) 0.425 * [backup-simplify]: Simplify (* 0.125 (/ 1 (pow x 2))) into (/ 0.125 (pow x 2)) 0.426 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.426 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))))) into 0 0.426 * [taylor]: Taking taylor expansion of 0 in y 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.427 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.428 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.125 (/ 1 (pow x 2))) (/ 0 1)))) into 0 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.431 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))))) into 0 0.431 * [taylor]: Taking taylor expansion of 0 in y 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify (+ (* (/ 0.125 (pow (/ 1 x) 2)) (pow (* (/ 1 y) 1) 2)) 1) into (+ (* 0.125 (/ (pow x 2) (pow y 2))) 1) 0.432 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) (sin (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0)))) into (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) 0.432 * [approximate]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in (x y) around 0 0.432 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in y 0.432 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.433 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.433 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.433 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.433 * [taylor]: Taking taylor expansion of 0.5 in y 0.433 * [backup-simplify]: Simplify 0.5 into 0.5 0.433 * [taylor]: Taking taylor expansion of (/ y x) in y 0.433 * [taylor]: Taking taylor expansion of y in y 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 1 into 1 0.433 * [taylor]: Taking taylor expansion of x in y 0.433 * [backup-simplify]: Simplify x into x 0.433 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.433 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.433 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.433 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.433 * [taylor]: Taking taylor expansion of 0.5 in y 0.433 * [backup-simplify]: Simplify 0.5 into 0.5 0.433 * [taylor]: Taking taylor expansion of (/ y x) in y 0.433 * [taylor]: Taking taylor expansion of y in y 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 1 into 1 0.433 * [taylor]: Taking taylor expansion of x in y 0.433 * [backup-simplify]: Simplify x into x 0.433 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.433 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.434 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.434 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.434 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.434 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.434 * [taylor]: Taking taylor expansion of 0.5 in y 0.434 * [backup-simplify]: Simplify 0.5 into 0.5 0.434 * [taylor]: Taking taylor expansion of (/ y x) in y 0.434 * [taylor]: Taking taylor expansion of y in y 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 1 into 1 0.434 * [taylor]: Taking taylor expansion of x in y 0.434 * [backup-simplify]: Simplify x into x 0.434 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.434 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.434 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.434 * [backup-simplify]: Simplify (/ (/ 0.5 x) (* 0.5 (/ 1 x))) into 1.0 0.434 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x 0.435 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.435 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.435 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.435 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.435 * [taylor]: Taking taylor expansion of 0.5 in x 0.435 * [backup-simplify]: Simplify 0.5 into 0.5 0.435 * [taylor]: Taking taylor expansion of (/ y x) in x 0.435 * [taylor]: Taking taylor expansion of y in x 0.435 * [backup-simplify]: Simplify y into y 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 1 into 1 0.435 * [backup-simplify]: Simplify (/ y 1) into y 0.435 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.435 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.435 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.435 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.435 * [taylor]: Taking taylor expansion of 0.5 in x 0.435 * [backup-simplify]: Simplify 0.5 into 0.5 0.435 * [taylor]: Taking taylor expansion of (/ y x) in x 0.435 * [taylor]: Taking taylor expansion of y in x 0.435 * [backup-simplify]: Simplify y into y 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 1 into 1 0.435 * [backup-simplify]: Simplify (/ y 1) into y 0.436 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.436 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.436 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.436 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.436 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.436 * [taylor]: Taking taylor expansion of 0.5 in x 0.436 * [backup-simplify]: Simplify 0.5 into 0.5 0.436 * [taylor]: Taking taylor expansion of (/ y x) in x 0.436 * [taylor]: Taking taylor expansion of y in x 0.436 * [backup-simplify]: Simplify y into y 0.436 * [taylor]: Taking taylor expansion of x in x 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 1 into 1 0.436 * [backup-simplify]: Simplify (/ y 1) into y 0.436 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.436 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.437 * [backup-simplify]: Simplify (/ (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (sin (* 0.5 (/ y x)))) into (/ 1 (cos (* 0.5 (/ y x)))) 0.437 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x 0.437 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.437 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.437 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.437 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.437 * [taylor]: Taking taylor expansion of 0.5 in x 0.437 * [backup-simplify]: Simplify 0.5 into 0.5 0.437 * [taylor]: Taking taylor expansion of (/ y x) in x 0.437 * [taylor]: Taking taylor expansion of y in x 0.437 * [backup-simplify]: Simplify y into y 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 1 into 1 0.437 * [backup-simplify]: Simplify (/ y 1) into y 0.437 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.437 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.438 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.438 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.438 * [taylor]: Taking taylor expansion of 0.5 in x 0.438 * [backup-simplify]: Simplify 0.5 into 0.5 0.438 * [taylor]: Taking taylor expansion of (/ y x) in x 0.438 * [taylor]: Taking taylor expansion of y in x 0.438 * [backup-simplify]: Simplify y into y 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 1 into 1 0.438 * [backup-simplify]: Simplify (/ y 1) into y 0.438 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.438 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.438 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.438 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.438 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.438 * [taylor]: Taking taylor expansion of 0.5 in x 0.438 * [backup-simplify]: Simplify 0.5 into 0.5 0.438 * [taylor]: Taking taylor expansion of (/ y x) in x 0.438 * [taylor]: Taking taylor expansion of y in x 0.438 * [backup-simplify]: Simplify y into y 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 1 into 1 0.439 * [backup-simplify]: Simplify (/ y 1) into y 0.439 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.439 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.439 * [backup-simplify]: Simplify (/ (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (sin (* 0.5 (/ y x)))) into (/ 1 (cos (* 0.5 (/ y x)))) 0.439 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y 0.439 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.439 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.439 * [taylor]: Taking taylor expansion of 0.5 in y 0.439 * [backup-simplify]: Simplify 0.5 into 0.5 0.439 * [taylor]: Taking taylor expansion of (/ y x) in y 0.439 * [taylor]: Taking taylor expansion of y in y 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.439 * [taylor]: Taking taylor expansion of x in y 0.439 * [backup-simplify]: Simplify x into x 0.440 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.440 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.440 * [backup-simplify]: Simplify (/ 1 1) into 1 0.440 * [backup-simplify]: Simplify 1 into 1 0.441 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.441 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))))) into 0 0.441 * [taylor]: Taking taylor expansion of 0 in y 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify (+ 0) into 0 0.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.442 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.444 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))))) into 0 0.444 * [taylor]: Taking taylor expansion of 0 in y 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.125 (/ 1 (pow x 2))) 0.446 * [backup-simplify]: Simplify (* 0.125 (/ 1 (pow x 2))) into (/ 0.125 (pow x 2)) 0.446 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.447 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))))) into 0 0.447 * [taylor]: Taking taylor expansion of 0 in y 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.448 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.449 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.125 (/ 1 (pow x 2))) (/ 0 1)))) into 0 0.450 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.452 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))))) into 0 0.452 * [taylor]: Taking taylor expansion of 0 in y 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify (+ (* (/ 0.125 (pow (/ 1 (- x)) 2)) (pow (* (/ 1 (- y)) 1) 2)) 1) into (+ (* 0.125 (/ (pow x 2) (pow y 2))) 1) 0.453 * * * [progress]: simplifying candidates 0.454 * [simplify]: Simplifying: (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))) (log (tan (/ x (* y 2.0)))) (exp (tan (/ x (* y 2.0)))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (cbrt (tan (/ x (* y 2.0)))) (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (log (sin (/ x (* y 2.0)))) (exp (sin (/ x (* y 2.0)))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (cbrt (sin (/ x (* y 2.0)))) (* (* (sin (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))) (- (log (tan (/ x (* y 2.0)))) (log (sin (/ x (* y 2.0))))) (log (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (exp (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (/ (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0)))) (* (* (sin (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))) (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (* (* (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (sqrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (sqrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (- (tan (/ x (* y 2.0)))) (- (sin (/ x (* y 2.0)))) (/ (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (cbrt (tan (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (/ (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (sqrt (sin (/ x (* y 2.0))))) (/ (cbrt (tan (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0))))) (/ (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) 1) (/ (cbrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))) (/ (sqrt (tan (/ x (* y 2.0)))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (sqrt (tan (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (/ (sqrt (tan (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0))))) (/ (sqrt (tan (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0))))) (/ (sqrt (tan (/ x (* y 2.0)))) 1) (/ (sqrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))) (/ 1 (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (tan (/ x (* y 2.0))) (cbrt (sin (/ x (* y 2.0))))) (/ 1 (sqrt (sin (/ x (* y 2.0))))) (/ (tan (/ x (* y 2.0))) (sqrt (sin (/ x (* y 2.0))))) (/ 1 1) (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (/ 1 (sin (/ x (* y 2.0)))) (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (/ (tan (/ x (* y 2.0))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (tan (/ x (* y 2.0))) (sqrt (sin (/ x (* y 2.0))))) (/ (tan (/ x (* y 2.0))) 1) (/ (sin (/ x (* y 2.0))) (cbrt (tan (/ x (* y 2.0))))) (/ (sin (/ x (* y 2.0))) (sqrt (tan (/ x (* y 2.0))))) (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) 0 (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) 0 (* 0.5 (/ x y)) (* 0.5 (/ x y)) 1.0 (+ (* 0.125 (/ (pow x 2) (pow y 2))) 1) (+ (* 0.125 (/ (pow x 2) (pow y 2))) 1) 0.456 * * [simplify]: iteration 0: 77 enodes 0.480 * * [simplify]: iteration 1: 144 enodes 0.532 * * [simplify]: iteration 2: 494 enodes 0.866 * * [simplify]: iteration 3: 3170 enodes 1.578 * * [simplify]: iteration complete: 5002 enodes 1.578 * * [simplify]: Extracting #0: cost 49 inf + 0 1.579 * * [simplify]: Extracting #1: cost 292 inf + 3 1.594 * * [simplify]: Extracting #2: cost 716 inf + 24 1.599 * * [simplify]: Extracting #3: cost 1671 inf + 997 1.606 * * [simplify]: Extracting #4: cost 1182 inf + 8339 1.615 * * [simplify]: Extracting #5: cost 321 inf + 16242 1.628 * * [simplify]: Extracting #6: cost 22 inf + 18425 1.639 * * [simplify]: Extracting #7: cost 0 inf + 18577 1.649 * [simplify]: Simplified to: (sin (/ x (* 2.0 y))) (cos (/ x (* 2.0 y))) (log (tan (/ x (* 2.0 y)))) (exp (tan (/ x (* 2.0 y)))) (* (cbrt (tan (/ x (* 2.0 y)))) (cbrt (tan (/ x (* 2.0 y))))) (cbrt (tan (/ x (* 2.0 y)))) (pow (tan (/ x (* 2.0 y))) 3) (sqrt (tan (/ x (* 2.0 y)))) (sqrt (tan (/ x (* 2.0 y)))) (log (sin (/ x (* 2.0 y)))) (exp (sin (/ x (* 2.0 y)))) (* (cbrt (sin (/ x (* 2.0 y)))) (cbrt (sin (/ x (* 2.0 y))))) (cbrt (sin (/ x (* 2.0 y)))) (pow (sin (/ x (* 2.0 y))) 3) (sqrt (sin (/ x (* 2.0 y)))) (sqrt (sin (/ x (* 2.0 y)))) (log (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))) (log (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))) (exp (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))) (pow (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))) 3) (* (cbrt (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))) (cbrt (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))))) (cbrt (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))) (pow (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))) 3) (sqrt (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))) (sqrt (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))) (- (tan (/ x (* 2.0 y)))) (- (sin (/ x (* 2.0 y)))) (/ (cbrt (tan (/ x (* 2.0 y)))) (/ (* (cbrt (sin (/ x (* 2.0 y)))) (cbrt (sin (/ x (* 2.0 y))))) (cbrt (tan (/ x (* 2.0 y)))))) (/ (cbrt (tan (/ x (* 2.0 y)))) (cbrt (sin (/ x (* 2.0 y))))) (/ (* (cbrt (tan (/ x (* 2.0 y)))) (cbrt (tan (/ x (* 2.0 y))))) (sqrt (sin (/ x (* 2.0 y))))) (/ (cbrt (tan (/ x (* 2.0 y)))) (sqrt (sin (/ x (* 2.0 y))))) (* (cbrt (tan (/ x (* 2.0 y)))) (cbrt (tan (/ x (* 2.0 y))))) (/ (cbrt (tan (/ x (* 2.0 y)))) (sin (/ x (* 2.0 y)))) (/ (/ (sqrt (tan (/ x (* 2.0 y)))) (cbrt (sin (/ x (* 2.0 y))))) (cbrt (sin (/ x (* 2.0 y))))) (/ (sqrt (tan (/ x (* 2.0 y)))) (cbrt (sin (/ x (* 2.0 y))))) (/ (sqrt (tan (/ x (* 2.0 y)))) (sqrt (sin (/ x (* 2.0 y))))) (/ (sqrt (tan (/ x (* 2.0 y)))) (sqrt (sin (/ x (* 2.0 y))))) (sqrt (tan (/ x (* 2.0 y)))) (/ (sqrt (tan (/ x (* 2.0 y)))) (sin (/ x (* 2.0 y)))) (/ 1 (* (cbrt (sin (/ x (* 2.0 y)))) (cbrt (sin (/ x (* 2.0 y)))))) (/ (tan (/ x (* 2.0 y))) (cbrt (sin (/ x (* 2.0 y))))) (/ 1 (sqrt (sin (/ x (* 2.0 y))))) (/ (tan (/ x (* 2.0 y))) (sqrt (sin (/ x (* 2.0 y))))) 1 (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))) (/ 1 (sin (/ x (* 2.0 y)))) (/ (sin (/ x (* 2.0 y))) (tan (/ x (* 2.0 y)))) (/ (tan (/ x (* 2.0 y))) (* (cbrt (sin (/ x (* 2.0 y)))) (cbrt (sin (/ x (* 2.0 y)))))) (/ (tan (/ x (* 2.0 y))) (sqrt (sin (/ x (* 2.0 y))))) (tan (/ x (* 2.0 y))) (/ (sin (/ x (* 2.0 y))) (cbrt (tan (/ x (* 2.0 y))))) (/ (sin (/ x (* 2.0 y))) (sqrt (tan (/ x (* 2.0 y))))) (/ (sin (/ x (* 2.0 y))) (tan (/ x (* 2.0 y)))) (* (cos (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))) 0 (+ (/ 0.5 (/ y x)) (/ 0.04166666666666667 (/ (pow y 3) (pow x 3)))) (+ (/ 0.5 (/ y x)) (/ 0.04166666666666667 (/ (pow y 3) (pow x 3)))) 0 (/ 0.5 (/ y x)) (/ 0.5 (/ y x)) 1.0 (+ (* (/ (* x x) y) (/ 0.125 y)) 1) (+ (* (/ (* x x) y) (/ 0.125 y)) 1) 1.649 * * * [progress]: adding candidates to table 1.958 * * [progress]: iteration 2 / 4 1.958 * * * [progress]: picking best candidate 2.016 * * * * [pick]: Picked # 2.016 * * * [progress]: localizing error 2.016 * * * [progress]: generating rewritten candidates 2.016 * * * [progress]: generating series expansions 2.016 * * * [progress]: simplifying candidates 2.016 * [simplify]: Simplifying: 2.016 * * [simplify]: iteration 0: 0 enodes 2.016 * * [simplify]: iteration complete: 0 enodes 2.016 * * [simplify]: Extracting #0: cost 0 inf + 0 2.016 * [simplify]: Simplified to: 2.016 * * * [progress]: adding candidates to table 2.017 * * [progress]: iteration 3 / 4 2.017 * * * [progress]: picking best candidate 2.064 * * * * [pick]: Picked # 2.065 * * * [progress]: localizing error 2.088 * * * [progress]: generating rewritten candidates 2.088 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 2.103 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.153 * * * [progress]: generating series expansions 2.153 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 2.153 * [backup-simplify]: Simplify (/ (* x x) y) into (/ (pow x 2) y) 2.153 * [approximate]: Taking taylor expansion of (/ (pow x 2) y) in (x y) around 0 2.153 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in y 2.153 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.154 * [taylor]: Taking taylor expansion of x in y 2.154 * [backup-simplify]: Simplify x into x 2.154 * [taylor]: Taking taylor expansion of y in y 2.154 * [backup-simplify]: Simplify 0 into 0 2.154 * [backup-simplify]: Simplify 1 into 1 2.154 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.154 * [backup-simplify]: Simplify (/ (pow x 2) 1) into (pow x 2) 2.154 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in x 2.154 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.154 * [taylor]: Taking taylor expansion of x in x 2.154 * [backup-simplify]: Simplify 0 into 0 2.154 * [backup-simplify]: Simplify 1 into 1 2.154 * [taylor]: Taking taylor expansion of y in x 2.154 * [backup-simplify]: Simplify y into y 2.155 * [backup-simplify]: Simplify (* 1 1) into 1 2.155 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.155 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in x 2.155 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.155 * [taylor]: Taking taylor expansion of x in x 2.155 * [backup-simplify]: Simplify 0 into 0 2.155 * [backup-simplify]: Simplify 1 into 1 2.155 * [taylor]: Taking taylor expansion of y in x 2.155 * [backup-simplify]: Simplify y into y 2.155 * [backup-simplify]: Simplify (* 1 1) into 1 2.155 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.156 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.156 * [taylor]: Taking taylor expansion of y in y 2.156 * [backup-simplify]: Simplify 0 into 0 2.156 * [backup-simplify]: Simplify 1 into 1 2.156 * [backup-simplify]: Simplify (/ 1 1) into 1 2.156 * [backup-simplify]: Simplify 1 into 1 2.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.157 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 2.157 * [taylor]: Taking taylor expansion of 0 in y 2.157 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.158 * [backup-simplify]: Simplify 0 into 0 2.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.159 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.159 * [taylor]: Taking taylor expansion of 0 in y 2.159 * [backup-simplify]: Simplify 0 into 0 2.159 * [backup-simplify]: Simplify 0 into 0 2.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.160 * [backup-simplify]: Simplify 0 into 0 2.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.162 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.162 * [taylor]: Taking taylor expansion of 0 in y 2.162 * [backup-simplify]: Simplify 0 into 0 2.162 * [backup-simplify]: Simplify 0 into 0 2.162 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.163 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify (* 1 (* (/ 1 y) (pow x 2))) into (/ (pow x 2) y) 2.163 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (/ y (pow x 2)) 2.163 * [approximate]: Taking taylor expansion of (/ y (pow x 2)) in (x y) around 0 2.163 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in y 2.163 * [taylor]: Taking taylor expansion of y in y 2.163 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify 1 into 1 2.163 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.163 * [taylor]: Taking taylor expansion of x in y 2.163 * [backup-simplify]: Simplify x into x 2.164 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.164 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.164 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in x 2.164 * [taylor]: Taking taylor expansion of y in x 2.164 * [backup-simplify]: Simplify y into y 2.164 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.164 * [taylor]: Taking taylor expansion of x in x 2.164 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify 1 into 1 2.164 * [backup-simplify]: Simplify (* 1 1) into 1 2.164 * [backup-simplify]: Simplify (/ y 1) into y 2.164 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in x 2.164 * [taylor]: Taking taylor expansion of y in x 2.164 * [backup-simplify]: Simplify y into y 2.164 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.164 * [taylor]: Taking taylor expansion of x in x 2.165 * [backup-simplify]: Simplify 0 into 0 2.165 * [backup-simplify]: Simplify 1 into 1 2.165 * [backup-simplify]: Simplify (* 1 1) into 1 2.165 * [backup-simplify]: Simplify (/ y 1) into y 2.165 * [taylor]: Taking taylor expansion of y in y 2.165 * [backup-simplify]: Simplify 0 into 0 2.165 * [backup-simplify]: Simplify 1 into 1 2.165 * [backup-simplify]: Simplify 1 into 1 2.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 2.167 * [taylor]: Taking taylor expansion of 0 in y 2.167 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify 0 into 0 2.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.169 * [taylor]: Taking taylor expansion of 0 in y 2.169 * [backup-simplify]: Simplify 0 into 0 2.169 * [backup-simplify]: Simplify 0 into 0 2.169 * [backup-simplify]: Simplify 0 into 0 2.169 * [backup-simplify]: Simplify 0 into 0 2.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.172 * [taylor]: Taking taylor expansion of 0 in y 2.172 * [backup-simplify]: Simplify 0 into 0 2.172 * [backup-simplify]: Simplify 0 into 0 2.172 * [backup-simplify]: Simplify (* 1 (* (/ 1 y) (pow (/ 1 x) -2))) into (/ (pow x 2) y) 2.173 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (* -1 (/ y (pow x 2))) 2.173 * [approximate]: Taking taylor expansion of (* -1 (/ y (pow x 2))) in (x y) around 0 2.173 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow x 2))) in y 2.173 * [taylor]: Taking taylor expansion of -1 in y 2.173 * [backup-simplify]: Simplify -1 into -1 2.173 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in y 2.173 * [taylor]: Taking taylor expansion of y in y 2.173 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify 1 into 1 2.173 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.173 * [taylor]: Taking taylor expansion of x in y 2.173 * [backup-simplify]: Simplify x into x 2.173 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.173 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.173 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow x 2))) in x 2.173 * [taylor]: Taking taylor expansion of -1 in x 2.173 * [backup-simplify]: Simplify -1 into -1 2.173 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in x 2.173 * [taylor]: Taking taylor expansion of y in x 2.173 * [backup-simplify]: Simplify y into y 2.173 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.173 * [taylor]: Taking taylor expansion of x in x 2.173 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify 1 into 1 2.174 * [backup-simplify]: Simplify (* 1 1) into 1 2.174 * [backup-simplify]: Simplify (/ y 1) into y 2.174 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow x 2))) in x 2.174 * [taylor]: Taking taylor expansion of -1 in x 2.174 * [backup-simplify]: Simplify -1 into -1 2.174 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in x 2.174 * [taylor]: Taking taylor expansion of y in x 2.174 * [backup-simplify]: Simplify y into y 2.174 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.174 * [taylor]: Taking taylor expansion of x in x 2.174 * [backup-simplify]: Simplify 0 into 0 2.174 * [backup-simplify]: Simplify 1 into 1 2.174 * [backup-simplify]: Simplify (* 1 1) into 1 2.175 * [backup-simplify]: Simplify (/ y 1) into y 2.175 * [backup-simplify]: Simplify (* -1 y) into (* -1 y) 2.175 * [taylor]: Taking taylor expansion of (* -1 y) in y 2.175 * [taylor]: Taking taylor expansion of -1 in y 2.175 * [backup-simplify]: Simplify -1 into -1 2.175 * [taylor]: Taking taylor expansion of y in y 2.175 * [backup-simplify]: Simplify 0 into 0 2.175 * [backup-simplify]: Simplify 1 into 1 2.176 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 2.176 * [backup-simplify]: Simplify -1 into -1 2.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 2.177 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 y)) into 0 2.177 * [taylor]: Taking taylor expansion of 0 in y 2.177 * [backup-simplify]: Simplify 0 into 0 2.177 * [backup-simplify]: Simplify 0 into 0 2.178 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 2.178 * [backup-simplify]: Simplify 0 into 0 2.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.180 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 y))) into 0 2.180 * [taylor]: Taking taylor expansion of 0 in y 2.180 * [backup-simplify]: Simplify 0 into 0 2.180 * [backup-simplify]: Simplify 0 into 0 2.180 * [backup-simplify]: Simplify 0 into 0 2.185 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.185 * [backup-simplify]: Simplify 0 into 0 2.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.188 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.188 * [taylor]: Taking taylor expansion of 0 in y 2.188 * [backup-simplify]: Simplify 0 into 0 2.188 * [backup-simplify]: Simplify 0 into 0 2.188 * [backup-simplify]: Simplify (* -1 (* (/ 1 (- y)) (pow (/ 1 (- x)) -2))) into (/ (pow x 2) y) 2.188 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.188 * [backup-simplify]: Simplify (* (/ (* x x) y) (/ 0.125 y)) into (* 0.125 (/ (pow x 2) (pow y 2))) 2.188 * [approximate]: Taking taylor expansion of (* 0.125 (/ (pow x 2) (pow y 2))) in (x y) around 0 2.188 * [taylor]: Taking taylor expansion of (* 0.125 (/ (pow x 2) (pow y 2))) in y 2.188 * [taylor]: Taking taylor expansion of 0.125 in y 2.188 * [backup-simplify]: Simplify 0.125 into 0.125 2.188 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in y 2.188 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.188 * [taylor]: Taking taylor expansion of x in y 2.188 * [backup-simplify]: Simplify x into x 2.188 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.188 * [taylor]: Taking taylor expansion of y in y 2.188 * [backup-simplify]: Simplify 0 into 0 2.188 * [backup-simplify]: Simplify 1 into 1 2.188 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.189 * [backup-simplify]: Simplify (* 1 1) into 1 2.189 * [backup-simplify]: Simplify (/ (pow x 2) 1) into (pow x 2) 2.189 * [taylor]: Taking taylor expansion of (* 0.125 (/ (pow x 2) (pow y 2))) in x 2.189 * [taylor]: Taking taylor expansion of 0.125 in x 2.189 * [backup-simplify]: Simplify 0.125 into 0.125 2.189 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in x 2.189 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.189 * [taylor]: Taking taylor expansion of x in x 2.189 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify 1 into 1 2.189 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.189 * [taylor]: Taking taylor expansion of y in x 2.189 * [backup-simplify]: Simplify y into y 2.189 * [backup-simplify]: Simplify (* 1 1) into 1 2.189 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.189 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.189 * [taylor]: Taking taylor expansion of (* 0.125 (/ (pow x 2) (pow y 2))) in x 2.189 * [taylor]: Taking taylor expansion of 0.125 in x 2.189 * [backup-simplify]: Simplify 0.125 into 0.125 2.189 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in x 2.189 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.189 * [taylor]: Taking taylor expansion of x in x 2.189 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify 1 into 1 2.190 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.190 * [taylor]: Taking taylor expansion of y in x 2.190 * [backup-simplify]: Simplify y into y 2.190 * [backup-simplify]: Simplify (* 1 1) into 1 2.190 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.190 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.190 * [backup-simplify]: Simplify (* 0.125 (/ 1 (pow y 2))) into (/ 0.125 (pow y 2)) 2.190 * [taylor]: Taking taylor expansion of (/ 0.125 (pow y 2)) in y 2.190 * [taylor]: Taking taylor expansion of 0.125 in y 2.190 * [backup-simplify]: Simplify 0.125 into 0.125 2.190 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.190 * [taylor]: Taking taylor expansion of y in y 2.190 * [backup-simplify]: Simplify 0 into 0 2.190 * [backup-simplify]: Simplify 1 into 1 2.190 * [backup-simplify]: Simplify (* 1 1) into 1 2.191 * [backup-simplify]: Simplify (/ 0.125 1) into 0.125 2.191 * [backup-simplify]: Simplify 0.125 into 0.125 2.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.191 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.191 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.192 * [backup-simplify]: Simplify (+ (* 0.125 0) (* 0 (/ 1 (pow y 2)))) into 0 2.192 * [taylor]: Taking taylor expansion of 0 in y 2.192 * [backup-simplify]: Simplify 0 into 0 2.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.125 (/ 0 1)))) into 0 2.193 * [backup-simplify]: Simplify 0 into 0 2.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.194 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.194 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.195 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 2.195 * [taylor]: Taking taylor expansion of 0 in y 2.195 * [backup-simplify]: Simplify 0 into 0 2.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.125 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.196 * [backup-simplify]: Simplify 0 into 0 2.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.197 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.198 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.198 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2)))))) into 0 2.198 * [taylor]: Taking taylor expansion of 0 in y 2.198 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify 0 into 0 2.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.125 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.200 * [backup-simplify]: Simplify 0 into 0 2.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.201 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.201 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.202 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))))) into 0 2.202 * [taylor]: Taking taylor expansion of 0 in y 2.202 * [backup-simplify]: Simplify 0 into 0 2.203 * [backup-simplify]: Simplify 0 into 0 2.203 * [backup-simplify]: Simplify 0 into 0 2.203 * [backup-simplify]: Simplify (* 0.125 (pow (* (/ 1 y) x) 2)) into (* 0.125 (/ (pow x 2) (pow y 2))) 2.203 * [backup-simplify]: Simplify (* (/ (* (/ 1 x) (/ 1 x)) (/ 1 y)) (/ 0.125 (/ 1 y))) into (* 0.125 (/ (pow y 2) (pow x 2))) 2.203 * [approximate]: Taking taylor expansion of (* 0.125 (/ (pow y 2) (pow x 2))) in (x y) around 0 2.203 * [taylor]: Taking taylor expansion of (* 0.125 (/ (pow y 2) (pow x 2))) in y 2.203 * [taylor]: Taking taylor expansion of 0.125 in y 2.203 * [backup-simplify]: Simplify 0.125 into 0.125 2.203 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in y 2.203 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.203 * [taylor]: Taking taylor expansion of y in y 2.203 * [backup-simplify]: Simplify 0 into 0 2.203 * [backup-simplify]: Simplify 1 into 1 2.203 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.203 * [taylor]: Taking taylor expansion of x in y 2.203 * [backup-simplify]: Simplify x into x 2.203 * [backup-simplify]: Simplify (* 1 1) into 1 2.203 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.203 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.204 * [taylor]: Taking taylor expansion of (* 0.125 (/ (pow y 2) (pow x 2))) in x 2.204 * [taylor]: Taking taylor expansion of 0.125 in x 2.204 * [backup-simplify]: Simplify 0.125 into 0.125 2.204 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 2.204 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.204 * [taylor]: Taking taylor expansion of y in x 2.204 * [backup-simplify]: Simplify y into y 2.204 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.204 * [taylor]: Taking taylor expansion of x in x 2.204 * [backup-simplify]: Simplify 0 into 0 2.204 * [backup-simplify]: Simplify 1 into 1 2.204 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.204 * [backup-simplify]: Simplify (* 1 1) into 1 2.204 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 2.204 * [taylor]: Taking taylor expansion of (* 0.125 (/ (pow y 2) (pow x 2))) in x 2.204 * [taylor]: Taking taylor expansion of 0.125 in x 2.204 * [backup-simplify]: Simplify 0.125 into 0.125 2.204 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 2.204 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.204 * [taylor]: Taking taylor expansion of y in x 2.204 * [backup-simplify]: Simplify y into y 2.204 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.204 * [taylor]: Taking taylor expansion of x in x 2.204 * [backup-simplify]: Simplify 0 into 0 2.204 * [backup-simplify]: Simplify 1 into 1 2.205 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.205 * [backup-simplify]: Simplify (* 1 1) into 1 2.205 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 2.205 * [backup-simplify]: Simplify (* 0.125 (pow y 2)) into (* 0.125 (pow y 2)) 2.205 * [taylor]: Taking taylor expansion of (* 0.125 (pow y 2)) in y 2.205 * [taylor]: Taking taylor expansion of 0.125 in y 2.205 * [backup-simplify]: Simplify 0.125 into 0.125 2.205 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.205 * [taylor]: Taking taylor expansion of y in y 2.205 * [backup-simplify]: Simplify 0 into 0 2.205 * [backup-simplify]: Simplify 1 into 1 2.206 * [backup-simplify]: Simplify (* 1 1) into 1 2.206 * [backup-simplify]: Simplify (* 0.125 1) into 0.125 2.206 * [backup-simplify]: Simplify 0.125 into 0.125 2.206 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 2.208 * [backup-simplify]: Simplify (+ (* 0.125 0) (* 0 (pow y 2))) into 0 2.208 * [taylor]: Taking taylor expansion of 0 in y 2.208 * [backup-simplify]: Simplify 0 into 0 2.208 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.210 * [backup-simplify]: Simplify (+ (* 0.125 0) (* 0 1)) into 0 2.210 * [backup-simplify]: Simplify 0 into 0 2.210 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.213 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.213 * [taylor]: Taking taylor expansion of 0 in y 2.213 * [backup-simplify]: Simplify 0 into 0 2.213 * [backup-simplify]: Simplify 0 into 0 2.213 * [backup-simplify]: Simplify 0 into 0 2.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.215 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (* 0 1))) into 0 2.215 * [backup-simplify]: Simplify 0 into 0 2.216 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.220 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 2.220 * [taylor]: Taking taylor expansion of 0 in y 2.220 * [backup-simplify]: Simplify 0 into 0 2.220 * [backup-simplify]: Simplify 0 into 0 2.220 * [backup-simplify]: Simplify (* 0.125 (pow (* (/ 1 y) (/ 1 (/ 1 x))) 2)) into (* 0.125 (/ (pow x 2) (pow y 2))) 2.220 * [backup-simplify]: Simplify (* (/ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) (/ 0.125 (/ 1 (- y)))) into (* 0.125 (/ (pow y 2) (pow x 2))) 2.220 * [approximate]: Taking taylor expansion of (* 0.125 (/ (pow y 2) (pow x 2))) in (x y) around 0 2.220 * [taylor]: Taking taylor expansion of (* 0.125 (/ (pow y 2) (pow x 2))) in y 2.220 * [taylor]: Taking taylor expansion of 0.125 in y 2.220 * [backup-simplify]: Simplify 0.125 into 0.125 2.220 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in y 2.220 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.220 * [taylor]: Taking taylor expansion of y in y 2.220 * [backup-simplify]: Simplify 0 into 0 2.220 * [backup-simplify]: Simplify 1 into 1 2.220 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.220 * [taylor]: Taking taylor expansion of x in y 2.221 * [backup-simplify]: Simplify x into x 2.221 * [backup-simplify]: Simplify (* 1 1) into 1 2.221 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.221 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.221 * [taylor]: Taking taylor expansion of (* 0.125 (/ (pow y 2) (pow x 2))) in x 2.221 * [taylor]: Taking taylor expansion of 0.125 in x 2.221 * [backup-simplify]: Simplify 0.125 into 0.125 2.221 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 2.221 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.221 * [taylor]: Taking taylor expansion of y in x 2.221 * [backup-simplify]: Simplify y into y 2.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.221 * [taylor]: Taking taylor expansion of x in x 2.221 * [backup-simplify]: Simplify 0 into 0 2.221 * [backup-simplify]: Simplify 1 into 1 2.221 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.222 * [backup-simplify]: Simplify (* 1 1) into 1 2.222 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 2.222 * [taylor]: Taking taylor expansion of (* 0.125 (/ (pow y 2) (pow x 2))) in x 2.222 * [taylor]: Taking taylor expansion of 0.125 in x 2.222 * [backup-simplify]: Simplify 0.125 into 0.125 2.222 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 2.222 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.222 * [taylor]: Taking taylor expansion of y in x 2.222 * [backup-simplify]: Simplify y into y 2.222 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.222 * [taylor]: Taking taylor expansion of x in x 2.222 * [backup-simplify]: Simplify 0 into 0 2.222 * [backup-simplify]: Simplify 1 into 1 2.222 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.223 * [backup-simplify]: Simplify (* 1 1) into 1 2.223 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 2.223 * [backup-simplify]: Simplify (* 0.125 (pow y 2)) into (* 0.125 (pow y 2)) 2.223 * [taylor]: Taking taylor expansion of (* 0.125 (pow y 2)) in y 2.223 * [taylor]: Taking taylor expansion of 0.125 in y 2.223 * [backup-simplify]: Simplify 0.125 into 0.125 2.223 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.223 * [taylor]: Taking taylor expansion of y in y 2.223 * [backup-simplify]: Simplify 0 into 0 2.223 * [backup-simplify]: Simplify 1 into 1 2.224 * [backup-simplify]: Simplify (* 1 1) into 1 2.224 * [backup-simplify]: Simplify (* 0.125 1) into 0.125 2.224 * [backup-simplify]: Simplify 0.125 into 0.125 2.224 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 2.226 * [backup-simplify]: Simplify (+ (* 0.125 0) (* 0 (pow y 2))) into 0 2.226 * [taylor]: Taking taylor expansion of 0 in y 2.226 * [backup-simplify]: Simplify 0 into 0 2.226 * [backup-simplify]: Simplify 0 into 0 2.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.228 * [backup-simplify]: Simplify (+ (* 0.125 0) (* 0 1)) into 0 2.228 * [backup-simplify]: Simplify 0 into 0 2.228 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.232 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.232 * [taylor]: Taking taylor expansion of 0 in y 2.232 * [backup-simplify]: Simplify 0 into 0 2.232 * [backup-simplify]: Simplify 0 into 0 2.232 * [backup-simplify]: Simplify 0 into 0 2.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.234 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (* 0 1))) into 0 2.234 * [backup-simplify]: Simplify 0 into 0 2.235 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.239 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 2.239 * [taylor]: Taking taylor expansion of 0 in y 2.239 * [backup-simplify]: Simplify 0 into 0 2.239 * [backup-simplify]: Simplify 0 into 0 2.239 * [backup-simplify]: Simplify (* 0.125 (pow (* (/ 1 (- y)) (/ 1 (/ 1 (- x)))) 2)) into (* 0.125 (/ (pow x 2) (pow y 2))) 2.239 * * * [progress]: simplifying candidates 2.241 * [simplify]: Simplifying: (- (+ (log x) (log x)) (log y)) (- (log (* x x)) (log y)) (log (/ (* x x) y)) (exp (/ (* x x) y)) (/ (* (* (* x x) x) (* (* x x) x)) (* (* y y) y)) (/ (* (* (* x x) (* x x)) (* x x)) (* (* y y) 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)) (- (* x x)) (- y) (/ x (* (cbrt y) (cbrt y))) (/ x (cbrt y)) (/ x (sqrt y)) (/ x (sqrt y)) (/ x 1) (/ x y) (/ 1 y) (/ y (* x x)) (/ (* x x) (* (cbrt y) (cbrt y))) (/ (* x x) (sqrt y)) (/ (* x x) 1) (/ y x) (* (/ (* x x) y) (/ 0.125 y)) (+ (- (+ (log x) (log x)) (log y)) (- (log 0.125) (log y))) (+ (- (+ (log x) (log x)) (log y)) (log (/ 0.125 y))) (+ (- (log (* x x)) (log y)) (- (log 0.125) (log y))) (+ (- (log (* x x)) (log y)) (log (/ 0.125 y))) (+ (log (/ (* x x) y)) (- (log 0.125) (log y))) (+ (log (/ (* x x) y)) (log (/ 0.125 y))) (log (* (/ (* x x) y) (/ 0.125 y))) (exp (* (/ (* x x) y) (/ 0.125 y))) (* (/ (* (* (* x x) x) (* (* x x) x)) (* (* y y) y)) (/ (* (* 0.125 0.125) 0.125) (* (* y y) y))) (* (/ (* (* (* x x) x) (* (* x x) x)) (* (* y y) y)) (* (* (/ 0.125 y) (/ 0.125 y)) (/ 0.125 y))) (* (/ (* (* (* x x) (* x x)) (* x x)) (* (* y y) y)) (/ (* (* 0.125 0.125) 0.125) (* (* y y) y))) (* (/ (* (* (* x x) (* x x)) (* x x)) (* (* y y) y)) (* (* (/ 0.125 y) (/ 0.125 y)) (/ 0.125 y))) (* (* (* (/ (* x x) y) (/ (* x x) y)) (/ (* x x) y)) (/ (* (* 0.125 0.125) 0.125) (* (* y y) y))) (* (* (* (/ (* x x) y) (/ (* x x) y)) (/ (* x x) y)) (* (* (/ 0.125 y) (/ 0.125 y)) (/ 0.125 y))) (* (cbrt (* (/ (* x x) y) (/ 0.125 y))) (cbrt (* (/ (* x x) y) (/ 0.125 y)))) (cbrt (* (/ (* x x) y) (/ 0.125 y))) (* (* (* (/ (* x x) y) (/ 0.125 y)) (* (/ (* x x) y) (/ 0.125 y))) (* (/ (* x x) y) (/ 0.125 y))) (sqrt (* (/ (* x x) y) (/ 0.125 y))) (sqrt (* (/ (* x x) y) (/ 0.125 y))) (* (* x x) 0.125) (* y y) (* (sqrt (/ (* x x) y)) (sqrt (/ 0.125 y))) (* (sqrt (/ (* x x) y)) (sqrt (/ 0.125 y))) (* (sqrt (/ (* x x) y)) (/ (sqrt 0.125) (sqrt y))) (* (sqrt (/ (* x x) y)) (/ (sqrt 0.125) (sqrt y))) (* (/ x (sqrt y)) (sqrt (/ 0.125 y))) (* (/ x (sqrt y)) (sqrt (/ 0.125 y))) (* (/ x (sqrt y)) (/ (sqrt 0.125) (sqrt y))) (* (/ x (sqrt y)) (/ (sqrt 0.125) (sqrt y))) (* (/ (* x x) y) (* (cbrt (/ 0.125 y)) (cbrt (/ 0.125 y)))) (* (/ (* x x) y) (sqrt (/ 0.125 y))) (* (/ (* x x) y) (/ (* (cbrt 0.125) (cbrt 0.125)) (* (cbrt y) (cbrt y)))) (* (/ (* x x) y) (/ (* (cbrt 0.125) (cbrt 0.125)) (sqrt y))) (* (/ (* x x) y) (/ (* (cbrt 0.125) (cbrt 0.125)) 1)) (* (/ (* x x) y) (/ (sqrt 0.125) (* (cbrt y) (cbrt y)))) (* (/ (* x x) y) (/ (sqrt 0.125) (sqrt y))) (* (/ (* x x) y) (/ (sqrt 0.125) 1)) (* (/ (* x x) y) (/ 1 (* (cbrt y) (cbrt y)))) (* (/ (* x x) y) (/ 1 (sqrt y))) (* (/ (* x x) y) (/ 1 1)) (* (/ (* x x) y) 1) (* (/ (* x x) y) 0.125) (* (cbrt (/ (* x x) y)) (/ 0.125 y)) (* (sqrt (/ (* x x) y)) (/ 0.125 y)) (* (/ x (cbrt y)) (/ 0.125 y)) (* (/ x (sqrt y)) (/ 0.125 y)) (* (/ x y) (/ 0.125 y)) (* (/ (* x x) y) (/ 0.125 y)) (* (/ 1 y) (/ 0.125 y)) (* (/ (* x x) y) 0.125) (* (* x x) (/ 0.125 y)) (/ (pow x 2) y) (/ (pow x 2) y) (/ (pow x 2) y) (* 0.125 (/ (pow x 2) (pow y 2))) (* 0.125 (/ (pow x 2) (pow y 2))) (* 0.125 (/ (pow x 2) (pow y 2))) 2.243 * * [simplify]: iteration 0: 118 enodes 2.283 * * [simplify]: iteration 1: 403 enodes 2.845 * * [simplify]: iteration 2: 3565 enodes 5.089 * * [simplify]: iteration complete: 5001 enodes 5.089 * * [simplify]: Extracting #0: cost 52 inf + 0 5.091 * * [simplify]: Extracting #1: cost 1243 inf + 1 5.097 * * [simplify]: Extracting #2: cost 1939 inf + 570 5.104 * * [simplify]: Extracting #3: cost 774 inf + 7476 5.115 * * [simplify]: Extracting #4: cost 88 inf + 13257 5.127 * * [simplify]: Extracting #5: cost 3 inf + 13977 5.140 * * [simplify]: Extracting #6: cost 0 inf + 14014 5.154 * [simplify]: Simplified to: (log (/ (* x x) y)) (log (/ (* x x) y)) (log (/ (* x x) y)) (exp (/ (* x x) y)) (pow (/ (* x x) y) 3) (pow (/ (* x x) y) 3) (* (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)) (* (- x) x) (- y) (/ (/ x (cbrt y)) (cbrt y)) (/ x (cbrt y)) (/ x (sqrt y)) (/ x (sqrt y)) x (/ x y) (/ 1 y) (/ y (* x x)) (/ (/ x (/ (cbrt y) x)) (cbrt y)) (/ (* x x) (sqrt y)) (* x x) (/ y x) (* (/ (* x x) y) (/ 0.125 y)) (log (* (/ (* x x) y) (/ 0.125 y))) (log (* (/ (* x x) y) (/ 0.125 y))) (log (* (/ (* x x) y) (/ 0.125 y))) (log (* (/ (* x x) y) (/ 0.125 y))) (log (* (/ (* x x) y) (/ 0.125 y))) (log (* (/ (* x x) y) (/ 0.125 y))) (log (* (/ (* x x) y) (/ 0.125 y))) (exp (* (/ (* x x) y) (/ 0.125 y))) (* (pow (/ (* x x) y) 3) (/ (pow 0.125 3) (pow y 3))) (pow (* (/ (* x x) y) (/ 0.125 y)) 3) (* (pow (/ (* x x) y) 3) (/ (pow 0.125 3) (pow y 3))) (pow (* (/ (* x x) y) (/ 0.125 y)) 3) (* (pow (/ (* x x) y) 3) (/ (pow 0.125 3) (pow y 3))) (pow (* (/ (* x x) y) (/ 0.125 y)) 3) (* (cbrt (* (/ (* x x) y) (/ 0.125 y))) (cbrt (* (/ (* x x) y) (/ 0.125 y)))) (cbrt (* (/ (* x x) y) (/ 0.125 y))) (pow (* (/ (* x x) y) (/ 0.125 y)) 3) (sqrt (* (/ (* x x) y) (/ 0.125 y))) (sqrt (* (/ (* x x) y) (/ 0.125 y))) (* 0.125 (* x x)) (* y y) (* (sqrt (/ (* x x) y)) (sqrt (/ 0.125 y))) (* (sqrt (/ (* x x) y)) (sqrt (/ 0.125 y))) (/ (sqrt (/ (* x x) y)) (/ (sqrt y) (sqrt 0.125))) (/ (sqrt (/ (* x x) y)) (/ (sqrt y) (sqrt 0.125))) (* (sqrt (/ 0.125 y)) (/ x (sqrt y))) (* (sqrt (/ 0.125 y)) (/ x (sqrt y))) (/ (/ (* x (sqrt 0.125)) (sqrt y)) (sqrt y)) (/ (/ (* x (sqrt 0.125)) (sqrt y)) (sqrt y)) (/ (* (* (* x x) (cbrt (/ 0.125 y))) (cbrt (/ 0.125 y))) y) (/ (* (sqrt (/ 0.125 y)) (* x x)) y) (/ (* (* (/ (* x x) y) (cbrt 0.125)) (cbrt 0.125)) (* (cbrt y) (cbrt y))) (/ (* (/ (* x x) y) (* (cbrt 0.125) (cbrt 0.125))) (sqrt y)) (* (* (/ (* x x) y) (cbrt 0.125)) (cbrt 0.125)) (/ (* (/ (/ (sqrt 0.125) (cbrt y)) (cbrt y)) (* x x)) y) (/ (/ (* x x) y) (/ (sqrt y) (sqrt 0.125))) (/ (* (* x x) (sqrt 0.125)) y) (/ (/ (/ (* x x) y) (cbrt y)) (cbrt y)) (/ (/ (* x x) (sqrt y)) y) (/ (* x x) y) (/ (* x x) y) (/ (* (* x x) 0.125) y) (* (cbrt (/ (* x x) y)) (/ 0.125 y)) (* (sqrt (/ (* x x) y)) (/ 0.125 y)) (/ (* (/ 0.125 y) x) (cbrt y)) (/ (* (/ 0.125 y) x) (sqrt y)) (/ (/ x y) (/ y 0.125)) (* (/ (* x x) y) (/ 0.125 y)) (/ (/ 0.125 y) y) (/ (* (* x x) 0.125) y) (/ (* x x) (/ y 0.125)) (/ (* x x) y) (/ (* x x) y) (/ (* x x) y) (* (/ (* x x) y) (/ 0.125 y)) (* (/ (* x x) y) (/ 0.125 y)) (* (/ (* x x) y) (/ 0.125 y)) 5.155 * * * [progress]: adding candidates to table 5.407 * * [progress]: iteration 4 / 4 5.407 * * * [progress]: picking best candidate 5.452 * * * * [pick]: Picked # 5.452 * * * [progress]: localizing error 5.476 * * * [progress]: generating rewritten candidates 5.476 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 5.480 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 5.484 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 5.487 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 5.515 * * * [progress]: generating series expansions 5.515 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 5.515 * [backup-simplify]: Simplify (sin (/ x (* 2.0 y))) into (sin (* 0.5 (/ x y))) 5.515 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in (x y) around 0 5.515 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 5.515 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 5.515 * [taylor]: Taking taylor expansion of 0.5 in y 5.515 * [backup-simplify]: Simplify 0.5 into 0.5 5.515 * [taylor]: Taking taylor expansion of (/ x y) in y 5.515 * [taylor]: Taking taylor expansion of x in y 5.515 * [backup-simplify]: Simplify x into x 5.515 * [taylor]: Taking taylor expansion of y in y 5.515 * [backup-simplify]: Simplify 0 into 0 5.516 * [backup-simplify]: Simplify 1 into 1 5.516 * [backup-simplify]: Simplify (/ x 1) into x 5.516 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 5.516 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 5.516 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 5.516 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 5.516 * [taylor]: Taking taylor expansion of 0.5 in x 5.516 * [backup-simplify]: Simplify 0.5 into 0.5 5.516 * [taylor]: Taking taylor expansion of (/ x y) in x 5.516 * [taylor]: Taking taylor expansion of x in x 5.516 * [backup-simplify]: Simplify 0 into 0 5.516 * [backup-simplify]: Simplify 1 into 1 5.516 * [taylor]: Taking taylor expansion of y in x 5.516 * [backup-simplify]: Simplify y into y 5.516 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.516 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 5.516 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 5.516 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 5.516 * [taylor]: Taking taylor expansion of 0.5 in x 5.516 * [backup-simplify]: Simplify 0.5 into 0.5 5.516 * [taylor]: Taking taylor expansion of (/ x y) in x 5.516 * [taylor]: Taking taylor expansion of x in x 5.516 * [backup-simplify]: Simplify 0 into 0 5.516 * [backup-simplify]: Simplify 1 into 1 5.516 * [taylor]: Taking taylor expansion of y in x 5.516 * [backup-simplify]: Simplify y into y 5.516 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.516 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 5.516 * [taylor]: Taking taylor expansion of 0 in y 5.516 * [backup-simplify]: Simplify 0 into 0 5.516 * [backup-simplify]: Simplify 0 into 0 5.516 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 5.516 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 5.516 * [taylor]: Taking taylor expansion of 0.5 in y 5.516 * [backup-simplify]: Simplify 0.5 into 0.5 5.516 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.516 * [taylor]: Taking taylor expansion of y in y 5.517 * [backup-simplify]: Simplify 0 into 0 5.517 * [backup-simplify]: Simplify 1 into 1 5.517 * [backup-simplify]: Simplify (/ 1 1) into 1 5.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.518 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 5.518 * [backup-simplify]: Simplify 0 into 0 5.518 * [backup-simplify]: Simplify 0 into 0 5.518 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 5.518 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 5.519 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.519 * [taylor]: Taking taylor expansion of 0 in y 5.519 * [backup-simplify]: Simplify 0 into 0 5.519 * [backup-simplify]: Simplify 0 into 0 5.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.520 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 5.520 * [backup-simplify]: Simplify 0 into 0 5.520 * [backup-simplify]: Simplify 0 into 0 5.521 * [backup-simplify]: Simplify 0 into 0 5.521 * [backup-simplify]: Simplify (sin (/ (/ 1 x) (* 2.0 (/ 1 y)))) into (sin (* 0.5 (/ y x))) 5.521 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0 5.521 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 5.521 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 5.521 * [taylor]: Taking taylor expansion of 0.5 in y 5.521 * [backup-simplify]: Simplify 0.5 into 0.5 5.521 * [taylor]: Taking taylor expansion of (/ y x) in y 5.521 * [taylor]: Taking taylor expansion of y in y 5.521 * [backup-simplify]: Simplify 0 into 0 5.521 * [backup-simplify]: Simplify 1 into 1 5.521 * [taylor]: Taking taylor expansion of x in y 5.521 * [backup-simplify]: Simplify x into x 5.521 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.521 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 5.521 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 5.521 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 5.521 * [taylor]: Taking taylor expansion of 0.5 in x 5.521 * [backup-simplify]: Simplify 0.5 into 0.5 5.521 * [taylor]: Taking taylor expansion of (/ y x) in x 5.521 * [taylor]: Taking taylor expansion of y in x 5.521 * [backup-simplify]: Simplify y into y 5.521 * [taylor]: Taking taylor expansion of x in x 5.521 * [backup-simplify]: Simplify 0 into 0 5.521 * [backup-simplify]: Simplify 1 into 1 5.522 * [backup-simplify]: Simplify (/ y 1) into y 5.522 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 5.522 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 5.522 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 5.522 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 5.522 * [taylor]: Taking taylor expansion of 0.5 in x 5.522 * [backup-simplify]: Simplify 0.5 into 0.5 5.522 * [taylor]: Taking taylor expansion of (/ y x) in x 5.522 * [taylor]: Taking taylor expansion of y in x 5.522 * [backup-simplify]: Simplify y into y 5.522 * [taylor]: Taking taylor expansion of x in x 5.522 * [backup-simplify]: Simplify 0 into 0 5.522 * [backup-simplify]: Simplify 1 into 1 5.522 * [backup-simplify]: Simplify (/ y 1) into y 5.522 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 5.522 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 5.522 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 5.522 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 5.522 * [taylor]: Taking taylor expansion of 0.5 in y 5.522 * [backup-simplify]: Simplify 0.5 into 0.5 5.522 * [taylor]: Taking taylor expansion of (/ y x) in y 5.522 * [taylor]: Taking taylor expansion of y in y 5.522 * [backup-simplify]: Simplify 0 into 0 5.523 * [backup-simplify]: Simplify 1 into 1 5.523 * [taylor]: Taking taylor expansion of x in y 5.523 * [backup-simplify]: Simplify x into x 5.523 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.523 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 5.523 * [backup-simplify]: Simplify 0 into 0 5.523 * [taylor]: Taking taylor expansion of 0 in y 5.523 * [backup-simplify]: Simplify 0 into 0 5.523 * [backup-simplify]: Simplify 0 into 0 5.523 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 5.523 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 5.523 * [taylor]: Taking taylor expansion of 0 in y 5.523 * [backup-simplify]: Simplify 0 into 0 5.523 * [backup-simplify]: Simplify 0 into 0 5.523 * [backup-simplify]: Simplify 0 into 0 5.524 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 5.524 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 5.525 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.525 * [backup-simplify]: Simplify 0 into 0 5.525 * [taylor]: Taking taylor expansion of 0 in y 5.525 * [backup-simplify]: Simplify 0 into 0 5.525 * [backup-simplify]: Simplify 0 into 0 5.525 * [backup-simplify]: Simplify 0 into 0 5.525 * [backup-simplify]: Simplify 0 into 0 5.525 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1)) into (* 0.5 (/ x y)) 5.526 * [backup-simplify]: Simplify (sin (/ (/ 1 (- x)) (* 2.0 (/ 1 (- y))))) into (sin (* 0.5 (/ y x))) 5.526 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0 5.526 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 5.526 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 5.526 * [taylor]: Taking taylor expansion of 0.5 in y 5.526 * [backup-simplify]: Simplify 0.5 into 0.5 5.526 * [taylor]: Taking taylor expansion of (/ y x) in y 5.526 * [taylor]: Taking taylor expansion of y in y 5.526 * [backup-simplify]: Simplify 0 into 0 5.526 * [backup-simplify]: Simplify 1 into 1 5.526 * [taylor]: Taking taylor expansion of x in y 5.526 * [backup-simplify]: Simplify x into x 5.526 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.526 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 5.526 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 5.526 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 5.526 * [taylor]: Taking taylor expansion of 0.5 in x 5.526 * [backup-simplify]: Simplify 0.5 into 0.5 5.526 * [taylor]: Taking taylor expansion of (/ y x) in x 5.526 * [taylor]: Taking taylor expansion of y in x 5.526 * [backup-simplify]: Simplify y into y 5.526 * [taylor]: Taking taylor expansion of x in x 5.526 * [backup-simplify]: Simplify 0 into 0 5.526 * [backup-simplify]: Simplify 1 into 1 5.526 * [backup-simplify]: Simplify (/ y 1) into y 5.527 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 5.527 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 5.527 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 5.527 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 5.527 * [taylor]: Taking taylor expansion of 0.5 in x 5.527 * [backup-simplify]: Simplify 0.5 into 0.5 5.527 * [taylor]: Taking taylor expansion of (/ y x) in x 5.527 * [taylor]: Taking taylor expansion of y in x 5.527 * [backup-simplify]: Simplify y into y 5.527 * [taylor]: Taking taylor expansion of x in x 5.527 * [backup-simplify]: Simplify 0 into 0 5.527 * [backup-simplify]: Simplify 1 into 1 5.527 * [backup-simplify]: Simplify (/ y 1) into y 5.527 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 5.527 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 5.527 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 5.527 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 5.527 * [taylor]: Taking taylor expansion of 0.5 in y 5.527 * [backup-simplify]: Simplify 0.5 into 0.5 5.527 * [taylor]: Taking taylor expansion of (/ y x) in y 5.528 * [taylor]: Taking taylor expansion of y in y 5.528 * [backup-simplify]: Simplify 0 into 0 5.528 * [backup-simplify]: Simplify 1 into 1 5.528 * [taylor]: Taking taylor expansion of x in y 5.528 * [backup-simplify]: Simplify x into x 5.528 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.528 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 5.528 * [backup-simplify]: Simplify 0 into 0 5.528 * [taylor]: Taking taylor expansion of 0 in y 5.528 * [backup-simplify]: Simplify 0 into 0 5.528 * [backup-simplify]: Simplify 0 into 0 5.528 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 5.528 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 5.528 * [taylor]: Taking taylor expansion of 0 in y 5.528 * [backup-simplify]: Simplify 0 into 0 5.528 * [backup-simplify]: Simplify 0 into 0 5.528 * [backup-simplify]: Simplify 0 into 0 5.529 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 5.529 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 5.530 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.530 * [backup-simplify]: Simplify 0 into 0 5.530 * [taylor]: Taking taylor expansion of 0 in y 5.530 * [backup-simplify]: Simplify 0 into 0 5.530 * [backup-simplify]: Simplify 0 into 0 5.530 * [backup-simplify]: Simplify 0 into 0 5.530 * [backup-simplify]: Simplify 0 into 0 5.531 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1)) into (* 0.5 (/ x y)) 5.531 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 5.531 * [backup-simplify]: Simplify (sin (/ x (* y 2.0))) into (sin (* 0.5 (/ x y))) 5.531 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in (x y) around 0 5.531 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 5.531 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 5.531 * [taylor]: Taking taylor expansion of 0.5 in y 5.531 * [backup-simplify]: Simplify 0.5 into 0.5 5.531 * [taylor]: Taking taylor expansion of (/ x y) in y 5.531 * [taylor]: Taking taylor expansion of x in y 5.531 * [backup-simplify]: Simplify x into x 5.531 * [taylor]: Taking taylor expansion of y in y 5.531 * [backup-simplify]: Simplify 0 into 0 5.531 * [backup-simplify]: Simplify 1 into 1 5.531 * [backup-simplify]: Simplify (/ x 1) into x 5.531 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 5.531 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 5.531 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 5.531 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 5.531 * [taylor]: Taking taylor expansion of 0.5 in x 5.531 * [backup-simplify]: Simplify 0.5 into 0.5 5.531 * [taylor]: Taking taylor expansion of (/ x y) in x 5.531 * [taylor]: Taking taylor expansion of x in x 5.532 * [backup-simplify]: Simplify 0 into 0 5.532 * [backup-simplify]: Simplify 1 into 1 5.532 * [taylor]: Taking taylor expansion of y in x 5.532 * [backup-simplify]: Simplify y into y 5.532 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.532 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 5.532 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 5.532 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 5.532 * [taylor]: Taking taylor expansion of 0.5 in x 5.532 * [backup-simplify]: Simplify 0.5 into 0.5 5.532 * [taylor]: Taking taylor expansion of (/ x y) in x 5.532 * [taylor]: Taking taylor expansion of x in x 5.532 * [backup-simplify]: Simplify 0 into 0 5.532 * [backup-simplify]: Simplify 1 into 1 5.532 * [taylor]: Taking taylor expansion of y in x 5.532 * [backup-simplify]: Simplify y into y 5.532 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.532 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 5.532 * [taylor]: Taking taylor expansion of 0 in y 5.532 * [backup-simplify]: Simplify 0 into 0 5.532 * [backup-simplify]: Simplify 0 into 0 5.533 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 5.533 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 5.533 * [taylor]: Taking taylor expansion of 0.5 in y 5.533 * [backup-simplify]: Simplify 0.5 into 0.5 5.533 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.533 * [taylor]: Taking taylor expansion of y in y 5.533 * [backup-simplify]: Simplify 0 into 0 5.533 * [backup-simplify]: Simplify 1 into 1 5.533 * [backup-simplify]: Simplify (/ 1 1) into 1 5.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.535 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 5.535 * [backup-simplify]: Simplify 0 into 0 5.535 * [backup-simplify]: Simplify 0 into 0 5.535 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 5.536 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 5.536 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.536 * [taylor]: Taking taylor expansion of 0 in y 5.536 * [backup-simplify]: Simplify 0 into 0 5.536 * [backup-simplify]: Simplify 0 into 0 5.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.539 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 5.539 * [backup-simplify]: Simplify 0 into 0 5.539 * [backup-simplify]: Simplify 0 into 0 5.539 * [backup-simplify]: Simplify 0 into 0 5.539 * [backup-simplify]: Simplify (sin (/ (/ 1 x) (* (/ 1 y) 2.0))) into (sin (* 0.5 (/ y x))) 5.539 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0 5.539 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 5.539 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 5.539 * [taylor]: Taking taylor expansion of 0.5 in y 5.539 * [backup-simplify]: Simplify 0.5 into 0.5 5.539 * [taylor]: Taking taylor expansion of (/ y x) in y 5.539 * [taylor]: Taking taylor expansion of y in y 5.539 * [backup-simplify]: Simplify 0 into 0 5.539 * [backup-simplify]: Simplify 1 into 1 5.539 * [taylor]: Taking taylor expansion of x in y 5.539 * [backup-simplify]: Simplify x into x 5.539 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.540 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 5.540 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 5.540 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 5.540 * [taylor]: Taking taylor expansion of 0.5 in x 5.540 * [backup-simplify]: Simplify 0.5 into 0.5 5.540 * [taylor]: Taking taylor expansion of (/ y x) in x 5.540 * [taylor]: Taking taylor expansion of y in x 5.540 * [backup-simplify]: Simplify y into y 5.540 * [taylor]: Taking taylor expansion of x in x 5.540 * [backup-simplify]: Simplify 0 into 0 5.540 * [backup-simplify]: Simplify 1 into 1 5.540 * [backup-simplify]: Simplify (/ y 1) into y 5.540 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 5.540 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 5.540 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 5.540 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 5.540 * [taylor]: Taking taylor expansion of 0.5 in x 5.540 * [backup-simplify]: Simplify 0.5 into 0.5 5.540 * [taylor]: Taking taylor expansion of (/ y x) in x 5.540 * [taylor]: Taking taylor expansion of y in x 5.540 * [backup-simplify]: Simplify y into y 5.540 * [taylor]: Taking taylor expansion of x in x 5.540 * [backup-simplify]: Simplify 0 into 0 5.540 * [backup-simplify]: Simplify 1 into 1 5.540 * [backup-simplify]: Simplify (/ y 1) into y 5.541 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 5.541 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 5.541 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 5.541 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 5.541 * [taylor]: Taking taylor expansion of 0.5 in y 5.541 * [backup-simplify]: Simplify 0.5 into 0.5 5.541 * [taylor]: Taking taylor expansion of (/ y x) in y 5.541 * [taylor]: Taking taylor expansion of y in y 5.541 * [backup-simplify]: Simplify 0 into 0 5.541 * [backup-simplify]: Simplify 1 into 1 5.541 * [taylor]: Taking taylor expansion of x in y 5.541 * [backup-simplify]: Simplify x into x 5.541 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.541 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 5.541 * [backup-simplify]: Simplify 0 into 0 5.541 * [taylor]: Taking taylor expansion of 0 in y 5.541 * [backup-simplify]: Simplify 0 into 0 5.541 * [backup-simplify]: Simplify 0 into 0 5.542 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 5.542 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 5.542 * [taylor]: Taking taylor expansion of 0 in y 5.542 * [backup-simplify]: Simplify 0 into 0 5.542 * [backup-simplify]: Simplify 0 into 0 5.542 * [backup-simplify]: Simplify 0 into 0 5.542 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 5.543 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 5.544 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.544 * [backup-simplify]: Simplify 0 into 0 5.544 * [taylor]: Taking taylor expansion of 0 in y 5.544 * [backup-simplify]: Simplify 0 into 0 5.544 * [backup-simplify]: Simplify 0 into 0 5.544 * [backup-simplify]: Simplify 0 into 0 5.544 * [backup-simplify]: Simplify 0 into 0 5.544 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1)) into (* 0.5 (/ x y)) 5.544 * [backup-simplify]: Simplify (sin (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (sin (* 0.5 (/ y x))) 5.544 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0 5.544 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 5.544 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 5.544 * [taylor]: Taking taylor expansion of 0.5 in y 5.544 * [backup-simplify]: Simplify 0.5 into 0.5 5.544 * [taylor]: Taking taylor expansion of (/ y x) in y 5.544 * [taylor]: Taking taylor expansion of y in y 5.544 * [backup-simplify]: Simplify 0 into 0 5.544 * [backup-simplify]: Simplify 1 into 1 5.544 * [taylor]: Taking taylor expansion of x in y 5.544 * [backup-simplify]: Simplify x into x 5.545 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.545 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 5.545 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 5.545 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 5.545 * [taylor]: Taking taylor expansion of 0.5 in x 5.545 * [backup-simplify]: Simplify 0.5 into 0.5 5.545 * [taylor]: Taking taylor expansion of (/ y x) in x 5.545 * [taylor]: Taking taylor expansion of y in x 5.545 * [backup-simplify]: Simplify y into y 5.545 * [taylor]: Taking taylor expansion of x in x 5.545 * [backup-simplify]: Simplify 0 into 0 5.545 * [backup-simplify]: Simplify 1 into 1 5.545 * [backup-simplify]: Simplify (/ y 1) into y 5.545 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 5.545 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 5.545 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 5.545 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 5.545 * [taylor]: Taking taylor expansion of 0.5 in x 5.545 * [backup-simplify]: Simplify 0.5 into 0.5 5.545 * [taylor]: Taking taylor expansion of (/ y x) in x 5.545 * [taylor]: Taking taylor expansion of y in x 5.545 * [backup-simplify]: Simplify y into y 5.545 * [taylor]: Taking taylor expansion of x in x 5.545 * [backup-simplify]: Simplify 0 into 0 5.545 * [backup-simplify]: Simplify 1 into 1 5.545 * [backup-simplify]: Simplify (/ y 1) into y 5.545 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 5.546 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 5.546 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 5.546 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 5.546 * [taylor]: Taking taylor expansion of 0.5 in y 5.546 * [backup-simplify]: Simplify 0.5 into 0.5 5.546 * [taylor]: Taking taylor expansion of (/ y x) in y 5.546 * [taylor]: Taking taylor expansion of y in y 5.546 * [backup-simplify]: Simplify 0 into 0 5.546 * [backup-simplify]: Simplify 1 into 1 5.546 * [taylor]: Taking taylor expansion of x in y 5.546 * [backup-simplify]: Simplify x into x 5.546 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.546 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 5.546 * [backup-simplify]: Simplify 0 into 0 5.546 * [taylor]: Taking taylor expansion of 0 in y 5.546 * [backup-simplify]: Simplify 0 into 0 5.546 * [backup-simplify]: Simplify 0 into 0 5.546 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 5.547 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 5.547 * [taylor]: Taking taylor expansion of 0 in y 5.547 * [backup-simplify]: Simplify 0 into 0 5.547 * [backup-simplify]: Simplify 0 into 0 5.547 * [backup-simplify]: Simplify 0 into 0 5.547 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 5.548 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 5.548 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.548 * [backup-simplify]: Simplify 0 into 0 5.549 * [taylor]: Taking taylor expansion of 0 in y 5.549 * [backup-simplify]: Simplify 0 into 0 5.549 * [backup-simplify]: Simplify 0 into 0 5.549 * [backup-simplify]: Simplify 0 into 0 5.549 * [backup-simplify]: Simplify 0 into 0 5.549 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1)) into (* 0.5 (/ x y)) 5.549 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 5.549 * [backup-simplify]: Simplify (cos (/ x (* 2.0 y))) into (cos (* 0.5 (/ x y))) 5.549 * [approximate]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in (x y) around 0 5.549 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 5.549 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 5.549 * [taylor]: Taking taylor expansion of 0.5 in y 5.549 * [backup-simplify]: Simplify 0.5 into 0.5 5.549 * [taylor]: Taking taylor expansion of (/ x y) in y 5.549 * [taylor]: Taking taylor expansion of x in y 5.549 * [backup-simplify]: Simplify x into x 5.549 * [taylor]: Taking taylor expansion of y in y 5.549 * [backup-simplify]: Simplify 0 into 0 5.549 * [backup-simplify]: Simplify 1 into 1 5.549 * [backup-simplify]: Simplify (/ x 1) into x 5.550 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 5.550 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 5.550 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 5.550 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 5.550 * [taylor]: Taking taylor expansion of 0.5 in x 5.550 * [backup-simplify]: Simplify 0.5 into 0.5 5.550 * [taylor]: Taking taylor expansion of (/ x y) in x 5.550 * [taylor]: Taking taylor expansion of x in x 5.550 * [backup-simplify]: Simplify 0 into 0 5.550 * [backup-simplify]: Simplify 1 into 1 5.550 * [taylor]: Taking taylor expansion of y in x 5.550 * [backup-simplify]: Simplify y into y 5.550 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.550 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 5.550 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 5.550 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 5.550 * [taylor]: Taking taylor expansion of 0.5 in x 5.550 * [backup-simplify]: Simplify 0.5 into 0.5 5.550 * [taylor]: Taking taylor expansion of (/ x y) in x 5.550 * [taylor]: Taking taylor expansion of x in x 5.550 * [backup-simplify]: Simplify 0 into 0 5.550 * [backup-simplify]: Simplify 1 into 1 5.550 * [taylor]: Taking taylor expansion of y in x 5.550 * [backup-simplify]: Simplify y into y 5.550 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.550 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 5.551 * [taylor]: Taking taylor expansion of 1 in y 5.551 * [backup-simplify]: Simplify 1 into 1 5.551 * [backup-simplify]: Simplify 1 into 1 5.555 * [backup-simplify]: Simplify (+ 0) into 0 5.555 * [taylor]: Taking taylor expansion of 0 in y 5.555 * [backup-simplify]: Simplify 0 into 0 5.555 * [backup-simplify]: Simplify 0 into 0 5.555 * [backup-simplify]: Simplify 0 into 0 5.555 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 5.555 * [taylor]: Taking taylor expansion of (- (* 0.125 (/ 1 (pow y 2)))) in y 5.556 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow y 2))) in y 5.556 * [taylor]: Taking taylor expansion of 0.125 in y 5.556 * [backup-simplify]: Simplify 0.125 into 0.125 5.556 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.556 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.556 * [taylor]: Taking taylor expansion of y in y 5.556 * [backup-simplify]: Simplify 0 into 0 5.556 * [backup-simplify]: Simplify 1 into 1 5.556 * [backup-simplify]: Simplify (* 1 1) into 1 5.557 * [backup-simplify]: Simplify (/ 1 1) into 1 5.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.561 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (* 0 1))) into 0 5.561 * [backup-simplify]: Simplify (- 0) into 0 5.561 * [backup-simplify]: Simplify 0 into 0 5.561 * [backup-simplify]: Simplify 0 into 0 5.562 * [backup-simplify]: Simplify 0 into 0 5.562 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 5.562 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 5.563 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.563 * [taylor]: Taking taylor expansion of 0 in y 5.563 * [backup-simplify]: Simplify 0 into 0 5.563 * [backup-simplify]: Simplify 0 into 0 5.563 * [backup-simplify]: Simplify 1 into 1 5.563 * [backup-simplify]: Simplify (cos (/ (/ 1 x) (* 2.0 (/ 1 y)))) into (cos (* 0.5 (/ y x))) 5.563 * [approximate]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in (x y) around 0 5.563 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 5.563 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 5.564 * [taylor]: Taking taylor expansion of 0.5 in y 5.564 * [backup-simplify]: Simplify 0.5 into 0.5 5.564 * [taylor]: Taking taylor expansion of (/ y x) in y 5.564 * [taylor]: Taking taylor expansion of y in y 5.564 * [backup-simplify]: Simplify 0 into 0 5.564 * [backup-simplify]: Simplify 1 into 1 5.564 * [taylor]: Taking taylor expansion of x in y 5.564 * [backup-simplify]: Simplify x into x 5.564 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.564 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 5.564 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 5.564 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 5.564 * [taylor]: Taking taylor expansion of 0.5 in x 5.564 * [backup-simplify]: Simplify 0.5 into 0.5 5.564 * [taylor]: Taking taylor expansion of (/ y x) in x 5.564 * [taylor]: Taking taylor expansion of y in x 5.564 * [backup-simplify]: Simplify y into y 5.564 * [taylor]: Taking taylor expansion of x in x 5.564 * [backup-simplify]: Simplify 0 into 0 5.564 * [backup-simplify]: Simplify 1 into 1 5.564 * [backup-simplify]: Simplify (/ y 1) into y 5.564 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 5.564 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 5.564 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 5.564 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 5.564 * [taylor]: Taking taylor expansion of 0.5 in x 5.564 * [backup-simplify]: Simplify 0.5 into 0.5 5.565 * [taylor]: Taking taylor expansion of (/ y x) in x 5.565 * [taylor]: Taking taylor expansion of y in x 5.565 * [backup-simplify]: Simplify y into y 5.565 * [taylor]: Taking taylor expansion of x in x 5.565 * [backup-simplify]: Simplify 0 into 0 5.565 * [backup-simplify]: Simplify 1 into 1 5.565 * [backup-simplify]: Simplify (/ y 1) into y 5.565 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 5.565 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 5.565 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 5.565 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 5.565 * [taylor]: Taking taylor expansion of 0.5 in y 5.565 * [backup-simplify]: Simplify 0.5 into 0.5 5.565 * [taylor]: Taking taylor expansion of (/ y x) in y 5.565 * [taylor]: Taking taylor expansion of y in y 5.565 * [backup-simplify]: Simplify 0 into 0 5.565 * [backup-simplify]: Simplify 1 into 1 5.565 * [taylor]: Taking taylor expansion of x in y 5.565 * [backup-simplify]: Simplify x into x 5.565 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.565 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 5.565 * [backup-simplify]: Simplify 1 into 1 5.565 * [taylor]: Taking taylor expansion of 0 in y 5.565 * [backup-simplify]: Simplify 0 into 0 5.566 * [backup-simplify]: Simplify 0 into 0 5.566 * [backup-simplify]: Simplify (+ 0) into 0 5.566 * [backup-simplify]: Simplify 0 into 0 5.566 * [taylor]: Taking taylor expansion of 0 in y 5.566 * [backup-simplify]: Simplify 0 into 0 5.566 * [backup-simplify]: Simplify 0 into 0 5.566 * [backup-simplify]: Simplify 0 into 0 5.567 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 5.567 * [backup-simplify]: Simplify (- (* 0.125 (/ 1 (pow x 2)))) into (- (* 0.125 (/ 1 (pow x 2)))) 5.567 * [taylor]: Taking taylor expansion of 0 in y 5.567 * [backup-simplify]: Simplify 0 into 0 5.567 * [backup-simplify]: Simplify 0 into 0 5.567 * [backup-simplify]: Simplify 0 into 0 5.567 * [backup-simplify]: Simplify 0 into 0 5.567 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 5.568 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 5.568 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.568 * [backup-simplify]: Simplify 0 into 0 5.569 * [taylor]: Taking taylor expansion of 0 in y 5.569 * [backup-simplify]: Simplify 0 into 0 5.569 * [backup-simplify]: Simplify 0 into 0 5.569 * [backup-simplify]: Simplify 0 into 0 5.569 * [backup-simplify]: Simplify (+ (* (- (* 0.125 (/ 1 (pow (/ 1 x) 2)))) (pow (* (/ 1 y) 1) 2)) 1) into (- 1 (* 0.125 (/ (pow x 2) (pow y 2)))) 5.569 * [backup-simplify]: Simplify (cos (/ (/ 1 (- x)) (* 2.0 (/ 1 (- y))))) into (cos (* 0.5 (/ y x))) 5.569 * [approximate]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in (x y) around 0 5.569 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 5.569 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 5.569 * [taylor]: Taking taylor expansion of 0.5 in y 5.570 * [backup-simplify]: Simplify 0.5 into 0.5 5.570 * [taylor]: Taking taylor expansion of (/ y x) in y 5.570 * [taylor]: Taking taylor expansion of y in y 5.570 * [backup-simplify]: Simplify 0 into 0 5.570 * [backup-simplify]: Simplify 1 into 1 5.570 * [taylor]: Taking taylor expansion of x in y 5.570 * [backup-simplify]: Simplify x into x 5.570 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.570 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 5.570 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 5.570 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 5.570 * [taylor]: Taking taylor expansion of 0.5 in x 5.570 * [backup-simplify]: Simplify 0.5 into 0.5 5.570 * [taylor]: Taking taylor expansion of (/ y x) in x 5.570 * [taylor]: Taking taylor expansion of y in x 5.570 * [backup-simplify]: Simplify y into y 5.570 * [taylor]: Taking taylor expansion of x in x 5.570 * [backup-simplify]: Simplify 0 into 0 5.570 * [backup-simplify]: Simplify 1 into 1 5.570 * [backup-simplify]: Simplify (/ y 1) into y 5.570 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 5.571 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 5.571 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 5.571 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 5.571 * [taylor]: Taking taylor expansion of 0.5 in x 5.571 * [backup-simplify]: Simplify 0.5 into 0.5 5.571 * [taylor]: Taking taylor expansion of (/ y x) in x 5.571 * [taylor]: Taking taylor expansion of y in x 5.571 * [backup-simplify]: Simplify y into y 5.571 * [taylor]: Taking taylor expansion of x in x 5.571 * [backup-simplify]: Simplify 0 into 0 5.571 * [backup-simplify]: Simplify 1 into 1 5.571 * [backup-simplify]: Simplify (/ y 1) into y 5.571 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 5.571 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 5.571 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 5.571 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 5.571 * [taylor]: Taking taylor expansion of 0.5 in y 5.571 * [backup-simplify]: Simplify 0.5 into 0.5 5.571 * [taylor]: Taking taylor expansion of (/ y x) in y 5.571 * [taylor]: Taking taylor expansion of y in y 5.571 * [backup-simplify]: Simplify 0 into 0 5.571 * [backup-simplify]: Simplify 1 into 1 5.571 * [taylor]: Taking taylor expansion of x in y 5.571 * [backup-simplify]: Simplify x into x 5.572 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.572 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 5.572 * [backup-simplify]: Simplify 1 into 1 5.572 * [taylor]: Taking taylor expansion of 0 in y 5.572 * [backup-simplify]: Simplify 0 into 0 5.572 * [backup-simplify]: Simplify 0 into 0 5.572 * [backup-simplify]: Simplify (+ 0) into 0 5.572 * [backup-simplify]: Simplify 0 into 0 5.572 * [taylor]: Taking taylor expansion of 0 in y 5.572 * [backup-simplify]: Simplify 0 into 0 5.572 * [backup-simplify]: Simplify 0 into 0 5.573 * [backup-simplify]: Simplify 0 into 0 5.573 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 5.573 * [backup-simplify]: Simplify (- (* 0.125 (/ 1 (pow x 2)))) into (- (* 0.125 (/ 1 (pow x 2)))) 5.573 * [taylor]: Taking taylor expansion of 0 in y 5.573 * [backup-simplify]: Simplify 0 into 0 5.573 * [backup-simplify]: Simplify 0 into 0 5.573 * [backup-simplify]: Simplify 0 into 0 5.573 * [backup-simplify]: Simplify 0 into 0 5.573 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 5.574 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 5.575 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.575 * [backup-simplify]: Simplify 0 into 0 5.575 * [taylor]: Taking taylor expansion of 0 in y 5.575 * [backup-simplify]: Simplify 0 into 0 5.575 * [backup-simplify]: Simplify 0 into 0 5.575 * [backup-simplify]: Simplify 0 into 0 5.575 * [backup-simplify]: Simplify (+ (* (- (* 0.125 (/ 1 (pow (/ 1 (- x)) 2)))) (pow (* (/ 1 (- y)) 1) 2)) 1) into (- 1 (* 0.125 (/ (pow x 2) (pow y 2)))) 5.576 * * * * [progress]: [ 4 / 4 ] generating series at (2) 5.576 * [backup-simplify]: Simplify (/ (/ (sin (/ x (* 2.0 y))) (cos (/ x (* 2.0 y)))) (sin (/ x (* y 2.0)))) into (/ 1 (cos (* 0.5 (/ x y)))) 5.576 * [approximate]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ x y)))) in (x y) around 0 5.576 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ x y)))) in y 5.576 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 5.576 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 5.576 * [taylor]: Taking taylor expansion of 0.5 in y 5.576 * [backup-simplify]: Simplify 0.5 into 0.5 5.576 * [taylor]: Taking taylor expansion of (/ x y) in y 5.576 * [taylor]: Taking taylor expansion of x in y 5.576 * [backup-simplify]: Simplify x into x 5.576 * [taylor]: Taking taylor expansion of y in y 5.576 * [backup-simplify]: Simplify 0 into 0 5.576 * [backup-simplify]: Simplify 1 into 1 5.576 * [backup-simplify]: Simplify (/ x 1) into x 5.576 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 5.576 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 5.576 * [backup-simplify]: Simplify (/ 1 (cos (* 0.5 (/ x y)))) into (/ 1 (cos (* 0.5 (/ x y)))) 5.576 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ x y)))) in x 5.576 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 5.576 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 5.576 * [taylor]: Taking taylor expansion of 0.5 in x 5.576 * [backup-simplify]: Simplify 0.5 into 0.5 5.576 * [taylor]: Taking taylor expansion of (/ x y) in x 5.576 * [taylor]: Taking taylor expansion of x in x 5.576 * [backup-simplify]: Simplify 0 into 0 5.576 * [backup-simplify]: Simplify 1 into 1 5.577 * [taylor]: Taking taylor expansion of y in x 5.577 * [backup-simplify]: Simplify y into y 5.577 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.577 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 5.577 * [backup-simplify]: Simplify (/ 1 1) into 1 5.577 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ x y)))) in x 5.577 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 5.577 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 5.577 * [taylor]: Taking taylor expansion of 0.5 in x 5.577 * [backup-simplify]: Simplify 0.5 into 0.5 5.577 * [taylor]: Taking taylor expansion of (/ x y) in x 5.577 * [taylor]: Taking taylor expansion of x in x 5.577 * [backup-simplify]: Simplify 0 into 0 5.577 * [backup-simplify]: Simplify 1 into 1 5.577 * [taylor]: Taking taylor expansion of y in x 5.577 * [backup-simplify]: Simplify y into y 5.577 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.577 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 5.577 * [backup-simplify]: Simplify (/ 1 1) into 1 5.577 * [taylor]: Taking taylor expansion of 1 in y 5.577 * [backup-simplify]: Simplify 1 into 1 5.577 * [backup-simplify]: Simplify 1 into 1 5.578 * [backup-simplify]: Simplify (+ 0) into 0 5.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.578 * [taylor]: Taking taylor expansion of 0 in y 5.578 * [backup-simplify]: Simplify 0 into 0 5.578 * [backup-simplify]: Simplify 0 into 0 5.578 * [backup-simplify]: Simplify 0 into 0 5.578 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 5.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (* 0.125 (/ 1 (pow y 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.125 (/ 1 (pow y 2))) 5.579 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow y 2))) in y 5.579 * [taylor]: Taking taylor expansion of 0.125 in y 5.579 * [backup-simplify]: Simplify 0.125 into 0.125 5.579 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.579 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.579 * [taylor]: Taking taylor expansion of y in y 5.579 * [backup-simplify]: Simplify 0 into 0 5.579 * [backup-simplify]: Simplify 1 into 1 5.579 * [backup-simplify]: Simplify (* 1 1) into 1 5.580 * [backup-simplify]: Simplify (/ 1 1) into 1 5.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.582 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (* 0 1))) into 0 5.582 * [backup-simplify]: Simplify 0 into 0 5.582 * [backup-simplify]: Simplify 0 into 0 5.582 * [backup-simplify]: Simplify 0 into 0 5.582 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 5.582 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 5.583 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow y 2)))) 1)) (* (* 0.125 (/ 1 (pow y 2))) (/ 0 1)))) into 0 5.584 * [taylor]: Taking taylor expansion of 0 in y 5.584 * [backup-simplify]: Simplify 0 into 0 5.584 * [backup-simplify]: Simplify 0 into 0 5.584 * [backup-simplify]: Simplify 1 into 1 5.584 * [backup-simplify]: Simplify (/ (/ (sin (/ (/ 1 x) (* 2.0 (/ 1 y)))) (cos (/ (/ 1 x) (* 2.0 (/ 1 y))))) (sin (/ (/ 1 x) (* (/ 1 y) 2.0)))) into (/ 1 (cos (* 0.5 (/ y x)))) 5.584 * [approximate]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in (x y) around 0 5.584 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y 5.584 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 5.584 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 5.584 * [taylor]: Taking taylor expansion of 0.5 in y 5.584 * [backup-simplify]: Simplify 0.5 into 0.5 5.584 * [taylor]: Taking taylor expansion of (/ y x) in y 5.584 * [taylor]: Taking taylor expansion of y in y 5.584 * [backup-simplify]: Simplify 0 into 0 5.584 * [backup-simplify]: Simplify 1 into 1 5.584 * [taylor]: Taking taylor expansion of x in y 5.584 * [backup-simplify]: Simplify x into x 5.584 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.584 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 5.585 * [backup-simplify]: Simplify (/ 1 1) into 1 5.585 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in x 5.585 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 5.585 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 5.585 * [taylor]: Taking taylor expansion of 0.5 in x 5.585 * [backup-simplify]: Simplify 0.5 into 0.5 5.585 * [taylor]: Taking taylor expansion of (/ y x) in x 5.585 * [taylor]: Taking taylor expansion of y in x 5.585 * [backup-simplify]: Simplify y into y 5.585 * [taylor]: Taking taylor expansion of x in x 5.585 * [backup-simplify]: Simplify 0 into 0 5.585 * [backup-simplify]: Simplify 1 into 1 5.585 * [backup-simplify]: Simplify (/ y 1) into y 5.585 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 5.585 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 5.585 * [backup-simplify]: Simplify (/ 1 (cos (* 0.5 (/ y x)))) into (/ 1 (cos (* 0.5 (/ y x)))) 5.585 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in x 5.585 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 5.585 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 5.585 * [taylor]: Taking taylor expansion of 0.5 in x 5.585 * [backup-simplify]: Simplify 0.5 into 0.5 5.585 * [taylor]: Taking taylor expansion of (/ y x) in x 5.585 * [taylor]: Taking taylor expansion of y in x 5.585 * [backup-simplify]: Simplify y into y 5.585 * [taylor]: Taking taylor expansion of x in x 5.585 * [backup-simplify]: Simplify 0 into 0 5.585 * [backup-simplify]: Simplify 1 into 1 5.585 * [backup-simplify]: Simplify (/ y 1) into y 5.585 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 5.585 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 5.585 * [backup-simplify]: Simplify (/ 1 (cos (* 0.5 (/ y x)))) into (/ 1 (cos (* 0.5 (/ y x)))) 5.585 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y 5.586 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 5.586 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 5.586 * [taylor]: Taking taylor expansion of 0.5 in y 5.586 * [backup-simplify]: Simplify 0.5 into 0.5 5.586 * [taylor]: Taking taylor expansion of (/ y x) in y 5.586 * [taylor]: Taking taylor expansion of y in y 5.586 * [backup-simplify]: Simplify 0 into 0 5.586 * [backup-simplify]: Simplify 1 into 1 5.586 * [taylor]: Taking taylor expansion of x in y 5.586 * [backup-simplify]: Simplify x into x 5.586 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.586 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 5.586 * [backup-simplify]: Simplify (/ 1 1) into 1 5.586 * [backup-simplify]: Simplify 1 into 1 5.586 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0 5.586 * [taylor]: Taking taylor expansion of 0 in y 5.586 * [backup-simplify]: Simplify 0 into 0 5.586 * [backup-simplify]: Simplify 0 into 0 5.586 * [backup-simplify]: Simplify (+ 0) into 0 5.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.587 * [backup-simplify]: Simplify 0 into 0 5.587 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 5.587 * [taylor]: Taking taylor expansion of 0 in y 5.587 * [backup-simplify]: Simplify 0 into 0 5.587 * [backup-simplify]: Simplify 0 into 0 5.587 * [backup-simplify]: Simplify 0 into 0 5.587 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 5.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.125 (/ 1 (pow x 2))) 5.588 * [backup-simplify]: Simplify (* 0.125 (/ 1 (pow x 2))) into (/ 0.125 (pow x 2)) 5.588 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 5.588 * [taylor]: Taking taylor expansion of 0 in y 5.588 * [backup-simplify]: Simplify 0 into 0 5.588 * [backup-simplify]: Simplify 0 into 0 5.589 * [backup-simplify]: Simplify 0 into 0 5.589 * [backup-simplify]: Simplify 0 into 0 5.589 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 5.589 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 5.589 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.125 (/ 1 (pow x 2))) (/ 0 1)))) into 0 5.590 * [backup-simplify]: Simplify 0 into 0 5.591 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 5.591 * [taylor]: Taking taylor expansion of 0 in y 5.591 * [backup-simplify]: Simplify 0 into 0 5.591 * [backup-simplify]: Simplify 0 into 0 5.591 * [backup-simplify]: Simplify 0 into 0 5.591 * [backup-simplify]: Simplify (+ (* (/ 0.125 (pow (/ 1 x) 2)) (pow (* (/ 1 y) 1) 2)) 1) into (+ (* 0.125 (/ (pow x 2) (pow y 2))) 1) 5.591 * [backup-simplify]: Simplify (/ (/ (sin (/ (/ 1 (- x)) (* 2.0 (/ 1 (- y))))) (cos (/ (/ 1 (- x)) (* 2.0 (/ 1 (- y)))))) (sin (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0)))) into (/ 1 (cos (* 0.5 (/ y x)))) 5.591 * [approximate]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in (x y) around 0 5.591 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y 5.591 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 5.591 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 5.591 * [taylor]: Taking taylor expansion of 0.5 in y 5.591 * [backup-simplify]: Simplify 0.5 into 0.5 5.591 * [taylor]: Taking taylor expansion of (/ y x) in y 5.591 * [taylor]: Taking taylor expansion of y in y 5.591 * [backup-simplify]: Simplify 0 into 0 5.591 * [backup-simplify]: Simplify 1 into 1 5.591 * [taylor]: Taking taylor expansion of x in y 5.591 * [backup-simplify]: Simplify x into x 5.591 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.592 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 5.592 * [backup-simplify]: Simplify (/ 1 1) into 1 5.592 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in x 5.592 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 5.592 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 5.592 * [taylor]: Taking taylor expansion of 0.5 in x 5.592 * [backup-simplify]: Simplify 0.5 into 0.5 5.592 * [taylor]: Taking taylor expansion of (/ y x) in x 5.592 * [taylor]: Taking taylor expansion of y in x 5.592 * [backup-simplify]: Simplify y into y 5.592 * [taylor]: Taking taylor expansion of x in x 5.592 * [backup-simplify]: Simplify 0 into 0 5.592 * [backup-simplify]: Simplify 1 into 1 5.592 * [backup-simplify]: Simplify (/ y 1) into y 5.592 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 5.592 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 5.592 * [backup-simplify]: Simplify (/ 1 (cos (* 0.5 (/ y x)))) into (/ 1 (cos (* 0.5 (/ y x)))) 5.592 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in x 5.592 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 5.592 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 5.592 * [taylor]: Taking taylor expansion of 0.5 in x 5.592 * [backup-simplify]: Simplify 0.5 into 0.5 5.592 * [taylor]: Taking taylor expansion of (/ y x) in x 5.592 * [taylor]: Taking taylor expansion of y in x 5.592 * [backup-simplify]: Simplify y into y 5.592 * [taylor]: Taking taylor expansion of x in x 5.592 * [backup-simplify]: Simplify 0 into 0 5.592 * [backup-simplify]: Simplify 1 into 1 5.592 * [backup-simplify]: Simplify (/ y 1) into y 5.592 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 5.593 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 5.593 * [backup-simplify]: Simplify (/ 1 (cos (* 0.5 (/ y x)))) into (/ 1 (cos (* 0.5 (/ y x)))) 5.593 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y 5.593 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 5.593 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 5.593 * [taylor]: Taking taylor expansion of 0.5 in y 5.593 * [backup-simplify]: Simplify 0.5 into 0.5 5.593 * [taylor]: Taking taylor expansion of (/ y x) in y 5.593 * [taylor]: Taking taylor expansion of y in y 5.593 * [backup-simplify]: Simplify 0 into 0 5.593 * [backup-simplify]: Simplify 1 into 1 5.593 * [taylor]: Taking taylor expansion of x in y 5.593 * [backup-simplify]: Simplify x into x 5.593 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.593 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 5.593 * [backup-simplify]: Simplify (/ 1 1) into 1 5.593 * [backup-simplify]: Simplify 1 into 1 5.593 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0 5.593 * [taylor]: Taking taylor expansion of 0 in y 5.593 * [backup-simplify]: Simplify 0 into 0 5.593 * [backup-simplify]: Simplify 0 into 0 5.594 * [backup-simplify]: Simplify (+ 0) into 0 5.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.594 * [backup-simplify]: Simplify 0 into 0 5.594 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 5.594 * [taylor]: Taking taylor expansion of 0 in y 5.594 * [backup-simplify]: Simplify 0 into 0 5.594 * [backup-simplify]: Simplify 0 into 0 5.594 * [backup-simplify]: Simplify 0 into 0 5.595 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 5.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.125 (/ 1 (pow x 2))) 5.595 * [backup-simplify]: Simplify (* 0.125 (/ 1 (pow x 2))) into (/ 0.125 (pow x 2)) 5.596 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 5.596 * [taylor]: Taking taylor expansion of 0 in y 5.596 * [backup-simplify]: Simplify 0 into 0 5.596 * [backup-simplify]: Simplify 0 into 0 5.596 * [backup-simplify]: Simplify 0 into 0 5.596 * [backup-simplify]: Simplify 0 into 0 5.596 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 5.596 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 5.597 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.125 (/ 1 (pow x 2))) (/ 0 1)))) into 0 5.597 * [backup-simplify]: Simplify 0 into 0 5.598 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 5.598 * [taylor]: Taking taylor expansion of 0 in y 5.598 * [backup-simplify]: Simplify 0 into 0 5.598 * [backup-simplify]: Simplify 0 into 0 5.598 * [backup-simplify]: Simplify 0 into 0 5.598 * [backup-simplify]: Simplify (+ (* (/ 0.125 (pow (/ 1 (- x)) 2)) (pow (* (/ 1 (- y)) 1) 2)) 1) into (+ (* 0.125 (/ (pow x 2) (pow y 2))) 1) 5.598 * * * [progress]: simplifying candidates 5.600 * [simplify]: Simplifying: (log (sin (/ x (* 2.0 y)))) (exp (sin (/ x (* 2.0 y)))) (* (cbrt (sin (/ x (* 2.0 y)))) (cbrt (sin (/ x (* 2.0 y))))) (cbrt (sin (/ x (* 2.0 y)))) (* (* (sin (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))) (sin (/ x (* 2.0 y)))) (sqrt (sin (/ x (* 2.0 y)))) (sqrt (sin (/ x (* 2.0 y)))) (log (sin (/ x (* y 2.0)))) (exp (sin (/ x (* y 2.0)))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (cbrt (sin (/ x (* y 2.0)))) (* (* (sin (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))) (log (cos (/ 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(cbrt (sin (/ x (* y 2.0)))))) (/ (sqrt (sin (/ x (* y 2.0)))) (* (cos (/ x (* y 2.0))) (cbrt (sin (/ x (* y 2.0)))))) 1 (/ 1 (cos (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))) (/ (sqrt (sin (/ x (* y 2.0)))) (* (cos (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (/ (/ 1 (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (* (cbrt (cos (/ x (* y 2.0)))) (cbrt (cos (/ x (* y 2.0)))))) (/ (/ (sin (/ x (* y 2.0))) (cbrt (sin (/ x (* y 2.0))))) (cbrt (cos (/ x (* y 2.0))))) (/ (/ 1 (sqrt (sin (/ x (* y 2.0))))) (* (cbrt (cos (/ x (* y 2.0)))) (cbrt (cos (/ x (* y 2.0)))))) (/ (sin (/ x (* y 2.0))) (* (cbrt (cos (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))))) (/ (/ 1 (cbrt (cos (/ x (* y 2.0))))) (cbrt (cos (/ x (* y 2.0))))) (/ 1 (cbrt (cos (/ x (* y 2.0))))) (/ (/ 1 (* (cbrt (sin (/ x (* y 2.0)))) (sqrt (cos (/ x (* y 2.0)))))) (cbrt (sin (/ x (* y 2.0))))) (/ (/ (sin (/ x (* y 2.0))) (sqrt (cos (/ x (* y 2.0))))) (cbrt (sin (/ x (* y 2.0))))) (/ 1 (* (sqrt (sin (/ x (* y 2.0)))) (sqrt (cos (/ x (* y 2.0)))))) (/ (sin (/ x (* y 2.0))) (* (sqrt (sin (/ x (* y 2.0)))) (sqrt (cos (/ x (* y 2.0)))))) (/ 1 (sqrt (cos (/ x (* y 2.0))))) (/ 1 (sqrt (cos (/ x (* y 2.0))))) (/ 1 (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (sin (/ x (* y 2.0))) (* (cbrt (sin (/ x (* y 2.0)))) (cos (/ x (* y 2.0))))) (/ 1 (sqrt (sin (/ x (* y 2.0))))) (/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0))))) 1 (/ 1 (cos (/ x (* y 2.0)))) (/ 1 (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (sin (/ x (* y 2.0))) (* (cbrt (sin (/ x (* y 2.0)))) (cos (/ x (* y 2.0))))) (/ 1 (sqrt (sin (/ x (* y 2.0))))) (/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0))))) 1 (/ 1 (cos (/ x (* y 2.0)))) (/ (sin (/ x (* y 2.0))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (/ 1 (cbrt (sin (/ x (* y 2.0))))) (cos (/ x (* y 2.0)))) (/ (sin (/ x (* y 2.0))) (sqrt (sin (/ x (* y 2.0))))) (/ (/ 1 (cos (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0))))) (sin (/ x (* y 2.0))) (/ (/ 1 (sin (/ x (* y 2.0)))) (cos (/ x (* y 2.0)))) (/ 1 (sin (/ x (* y 2.0)))) (cos (/ x (* y 2.0))) (/ (/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (cbrt (sin (/ x (* y 2.0))))) (/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0))))) (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (/ (sin (/ x (* y 2.0))) (cbrt (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))) (/ (sin (/ x (* y 2.0))) (sqrt (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))) (/ (* (sin (/ x (* y 2.0))) (cbrt (cos (/ x (* y 2.0))))) (cbrt (sin (/ x (* y 2.0))))) (/ (* (sin (/ x (* y 2.0))) (sqrt (cos (/ x (* y 2.0))))) (cbrt (sin (/ x (* y 2.0))))) (/ (sin (/ x (* y 2.0))) (/ (cbrt (sin (/ x (* y 2.0)))) (cos (/ x (* y 2.0))))) (* (/ (sin (/ x (* y 2.0))) (sqrt (sin (/ x (* y 2.0))))) (cbrt (cos (/ x (* y 2.0))))) (* (/ (sin (/ x (* y 2.0))) (sqrt (sin (/ x (* y 2.0))))) (sqrt (cos (/ x (* y 2.0))))) (/ (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0))))) (cbrt (cos (/ x (* y 2.0)))) (sqrt (cos (/ x (* y 2.0)))) (cos (/ x (* y 2.0))) (cos (/ x (* y 2.0))) (* (cos (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (* (cos (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 0 (/ (* x 0.5) y) (/ (* x 0.5) y) 0 (/ (* x 0.5) y) (/ (* x 0.5) y) 1 (- 1 (* (/ (* 0.125 x) y) (/ x y))) (- 1 (* (/ (* 0.125 x) y) (/ x y))) 1 (+ 1 (* (/ (* 0.125 x) y) (/ x y))) (+ 1 (* (/ (* 0.125 x) y) (/ x y))) 7.197 * * * [progress]: adding candidates to table 7.791 * [progress]: [Phase 3 of 3] Extracting. 7.791 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # #) 7.796 * * * [regime-changes]: Trying 4 branch expressions: ((* y 2.0) (/ x (* y 2.0)) y x) 7.796 * * * * [regimes]: Trying to branch on (* y 2.0) from (# # # # # # # # # # # # # # # # # #) 7.945 * * * * [regimes]: Trying to branch on (/ x (* y 2.0)) from (# # # # # # # # # # # # # # # # # #) 8.077 * * * * [regimes]: Trying to branch on y from (# # # # # # # # # # # # # # # # # #) 8.222 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # # # # # #) 8.349 * * * [regime]: Found split indices: #