36.504 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.152 * * * [progress]: [2/2] Setting up program. 0.159 * [progress]: [Phase 2 of 3] Improving. 0.159 * [simplify]: Simplifying: (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 0.159 * * [simplify]: iteration 0: 8 enodes 0.162 * * [simplify]: iteration 1: 11 enodes 0.164 * * [simplify]: iteration complete: 11 enodes 0.165 * * [simplify]: Extracting #0: cost 1 inf + 0 0.165 * * [simplify]: Extracting #1: cost 3 inf + 0 0.165 * * [simplify]: Extracting #2: cost 4 inf + 0 0.165 * * [simplify]: Extracting #3: cost 8 inf + 0 0.165 * * [simplify]: Extracting #4: cost 7 inf + 2 0.165 * * [simplify]: Extracting #5: cost 0 inf + 769 0.165 * [simplify]: Simplified to: (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))) 0.166 * * [progress]: iteration 1 / 4 0.166 * * * [progress]: picking best candidate 0.171 * * * * [pick]: Picked # 0.171 * * * [progress]: localizing error 0.189 * * * [progress]: generating rewritten candidates 0.189 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.197 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.201 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.257 * * * [progress]: generating series expansions 0.257 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.257 * [backup-simplify]: Simplify (sin (/ x (* y 2.0))) into (sin (* 0.5 (/ x y))) 0.257 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in (x y) around 0 0.257 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.257 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.257 * [taylor]: Taking taylor expansion of 0.5 in y 0.257 * [backup-simplify]: Simplify 0.5 into 0.5 0.257 * [taylor]: Taking taylor expansion of (/ x y) in y 0.257 * [taylor]: Taking taylor expansion of x in y 0.257 * [backup-simplify]: Simplify x into x 0.257 * [taylor]: Taking taylor expansion of y in y 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (/ x 1) into x 0.257 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.257 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 0.257 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.257 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.257 * [taylor]: Taking taylor expansion of 0.5 in x 0.257 * [backup-simplify]: Simplify 0.5 into 0.5 0.257 * [taylor]: Taking taylor expansion of (/ x y) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [taylor]: Taking taylor expansion of y in x 0.257 * [backup-simplify]: Simplify y into y 0.257 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.257 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.258 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.258 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.258 * [taylor]: Taking taylor expansion of 0.5 in x 0.258 * [backup-simplify]: Simplify 0.5 into 0.5 0.258 * [taylor]: Taking taylor expansion of (/ x y) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [taylor]: Taking taylor expansion of y in x 0.258 * [backup-simplify]: Simplify y into y 0.258 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.258 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.258 * [taylor]: Taking taylor expansion of 0 in y 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.258 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.258 * [taylor]: Taking taylor expansion of 0.5 in y 0.258 * [backup-simplify]: Simplify 0.5 into 0.5 0.258 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.259 * [backup-simplify]: Simplify (/ 1 1) into 1 0.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.260 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.260 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.261 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.261 * [taylor]: Taking taylor expansion of 0 in y 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.262 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify (sin (/ (/ 1 x) (* (/ 1 y) 2.0))) into (sin (* 0.5 (/ y x))) 0.262 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0 0.262 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.262 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.262 * [taylor]: Taking taylor expansion of 0.5 in y 0.262 * [backup-simplify]: Simplify 0.5 into 0.5 0.262 * [taylor]: Taking taylor expansion of (/ y x) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [taylor]: Taking taylor expansion of x in y 0.263 * [backup-simplify]: Simplify x into x 0.263 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.263 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.263 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.263 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.263 * [taylor]: Taking taylor expansion of 0.5 in x 0.263 * [backup-simplify]: Simplify 0.5 into 0.5 0.263 * [taylor]: Taking taylor expansion of (/ y x) in x 0.263 * [taylor]: Taking taylor expansion of y in x 0.263 * [backup-simplify]: Simplify y into y 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (/ y 1) into y 0.263 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.263 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.263 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.263 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.263 * [taylor]: Taking taylor expansion of 0.5 in x 0.263 * [backup-simplify]: Simplify 0.5 into 0.5 0.263 * [taylor]: Taking taylor expansion of (/ y x) in x 0.263 * [taylor]: Taking taylor expansion of y in x 0.263 * [backup-simplify]: Simplify y into y 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (/ y 1) into y 0.263 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.263 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.263 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.263 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.263 * [taylor]: Taking taylor expansion of 0.5 in y 0.263 * [backup-simplify]: Simplify 0.5 into 0.5 0.263 * [taylor]: Taking taylor expansion of (/ y x) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [taylor]: Taking taylor expansion of x in y 0.263 * [backup-simplify]: Simplify x into x 0.264 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.264 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [taylor]: Taking taylor expansion of 0 in y 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.264 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.264 * [taylor]: Taking taylor expansion of 0 in y 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.265 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.265 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [taylor]: Taking taylor expansion of 0 in y 0.265 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1)) into (* 0.5 (/ x y)) 0.266 * [backup-simplify]: Simplify (sin (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (sin (* 0.5 (/ y x))) 0.266 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0 0.266 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.266 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.266 * [taylor]: Taking taylor expansion of 0.5 in y 0.266 * [backup-simplify]: Simplify 0.5 into 0.5 0.266 * [taylor]: Taking taylor expansion of (/ y x) in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [taylor]: Taking taylor expansion of x in y 0.266 * [backup-simplify]: Simplify x into x 0.266 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.266 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.266 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.266 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.266 * [taylor]: Taking taylor expansion of 0.5 in x 0.266 * [backup-simplify]: Simplify 0.5 into 0.5 0.266 * [taylor]: Taking taylor expansion of (/ y x) in x 0.266 * [taylor]: Taking taylor expansion of y in x 0.266 * [backup-simplify]: Simplify y into y 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (/ y 1) into y 0.266 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.266 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.266 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.266 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.266 * [taylor]: Taking taylor expansion of 0.5 in x 0.266 * [backup-simplify]: Simplify 0.5 into 0.5 0.266 * [taylor]: Taking taylor expansion of (/ y x) in x 0.266 * [taylor]: Taking taylor expansion of y in x 0.266 * [backup-simplify]: Simplify y into y 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify (/ y 1) into y 0.267 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.267 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.267 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.267 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.267 * [taylor]: Taking taylor expansion of 0.5 in y 0.267 * [backup-simplify]: Simplify 0.5 into 0.5 0.267 * [taylor]: Taking taylor expansion of (/ y x) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [taylor]: Taking taylor expansion of x in y 0.267 * [backup-simplify]: Simplify x into x 0.267 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.267 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [taylor]: Taking taylor expansion of 0 in y 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.267 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.267 * [taylor]: Taking taylor expansion of 0 in y 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.268 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.268 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [taylor]: Taking taylor expansion of 0 in y 0.268 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1)) into (* 0.5 (/ x y)) 0.269 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.269 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y))) 0.269 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0 0.269 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 0.269 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.269 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.269 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.269 * [taylor]: Taking taylor expansion of 0.5 in y 0.269 * [backup-simplify]: Simplify 0.5 into 0.5 0.269 * [taylor]: Taking taylor expansion of (/ x y) in y 0.269 * [taylor]: Taking taylor expansion of x in y 0.269 * [backup-simplify]: Simplify x into x 0.269 * [taylor]: Taking taylor expansion of y in y 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (/ x 1) into x 0.269 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.269 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 0.269 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 0.269 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.269 * [taylor]: Taking taylor expansion of 0.5 in y 0.269 * [backup-simplify]: Simplify 0.5 into 0.5 0.269 * [taylor]: Taking taylor expansion of (/ x y) in y 0.269 * [taylor]: Taking taylor expansion of x in y 0.269 * [backup-simplify]: Simplify x into x 0.269 * [taylor]: Taking taylor expansion of y in y 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (/ x 1) into x 0.270 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.270 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 0.270 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.270 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 0.270 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.270 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.270 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.270 * [taylor]: Taking taylor expansion of 0.5 in x 0.270 * [backup-simplify]: Simplify 0.5 into 0.5 0.270 * [taylor]: Taking taylor expansion of (/ x y) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 1 into 1 0.270 * [taylor]: Taking taylor expansion of y in x 0.270 * [backup-simplify]: Simplify y into y 0.270 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.270 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.270 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 0.270 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.270 * [taylor]: Taking taylor expansion of 0.5 in x 0.270 * [backup-simplify]: Simplify 0.5 into 0.5 0.270 * [taylor]: Taking taylor expansion of (/ x y) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 1 into 1 0.270 * [taylor]: Taking taylor expansion of y in x 0.270 * [backup-simplify]: Simplify y into y 0.270 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.270 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.270 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.271 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 0.271 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 0.271 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.271 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.271 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.271 * [taylor]: Taking taylor expansion of 0.5 in x 0.271 * [backup-simplify]: Simplify 0.5 into 0.5 0.271 * [taylor]: Taking taylor expansion of (/ x y) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [taylor]: Taking taylor expansion of y in x 0.271 * [backup-simplify]: Simplify y into y 0.271 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.271 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.271 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 0.271 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.271 * [taylor]: Taking taylor expansion of 0.5 in x 0.271 * [backup-simplify]: Simplify 0.5 into 0.5 0.271 * [taylor]: Taking taylor expansion of (/ x y) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [taylor]: Taking taylor expansion of y in x 0.271 * [backup-simplify]: Simplify y into y 0.271 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.271 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.271 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.271 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 0.271 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 0.271 * [taylor]: Taking taylor expansion of 0.5 in y 0.271 * [backup-simplify]: Simplify 0.5 into 0.5 0.271 * [taylor]: Taking taylor expansion of y in y 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.272 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 0.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 0.272 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.273 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.273 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.274 * [backup-simplify]: Simplify (+ 0) into 0 0.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0 0.274 * [taylor]: Taking taylor expansion of 0 in y 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.276 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.277 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 0.277 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 0.278 * [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))) 0.278 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y 0.278 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y 0.278 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.278 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.278 * [taylor]: Taking taylor expansion of y in y 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify (* 1 1) into 1 0.278 * [backup-simplify]: Simplify (* 1 1) into 1 0.279 * [backup-simplify]: Simplify (/ 1 1) into 1 0.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x))) 0.285 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 0.285 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.285 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.285 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.285 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.285 * [taylor]: Taking taylor expansion of 0.5 in y 0.285 * [backup-simplify]: Simplify 0.5 into 0.5 0.285 * [taylor]: Taking taylor expansion of (/ y x) in y 0.285 * [taylor]: Taking taylor expansion of y in y 0.285 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [taylor]: Taking taylor expansion of x in y 0.286 * [backup-simplify]: Simplify x into x 0.286 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.286 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.286 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.286 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.286 * [taylor]: Taking taylor expansion of 0.5 in y 0.286 * [backup-simplify]: Simplify 0.5 into 0.5 0.286 * [taylor]: Taking taylor expansion of (/ y x) in y 0.286 * [taylor]: Taking taylor expansion of y in y 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [taylor]: Taking taylor expansion of x in y 0.286 * [backup-simplify]: Simplify x into x 0.286 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.286 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.286 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.286 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.286 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.286 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.286 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.286 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.286 * [taylor]: Taking taylor expansion of 0.5 in x 0.286 * [backup-simplify]: Simplify 0.5 into 0.5 0.286 * [taylor]: Taking taylor expansion of (/ y x) in x 0.286 * [taylor]: Taking taylor expansion of y in x 0.286 * [backup-simplify]: Simplify y into y 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [backup-simplify]: Simplify (/ y 1) into y 0.286 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.286 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.286 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.286 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.287 * [taylor]: Taking taylor expansion of 0.5 in x 0.287 * [backup-simplify]: Simplify 0.5 into 0.5 0.287 * [taylor]: Taking taylor expansion of (/ y x) in x 0.287 * [taylor]: Taking taylor expansion of y in x 0.287 * [backup-simplify]: Simplify y into y 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (/ y 1) into y 0.287 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.287 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.287 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.287 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.287 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.287 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.287 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.287 * [taylor]: Taking taylor expansion of 0.5 in x 0.287 * [backup-simplify]: Simplify 0.5 into 0.5 0.287 * [taylor]: Taking taylor expansion of (/ y x) in x 0.287 * [taylor]: Taking taylor expansion of y in x 0.287 * [backup-simplify]: Simplify y into y 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (/ y 1) into y 0.287 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.287 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.287 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.287 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.287 * [taylor]: Taking taylor expansion of 0.5 in x 0.287 * [backup-simplify]: Simplify 0.5 into 0.5 0.287 * [taylor]: Taking taylor expansion of (/ y x) in x 0.287 * [taylor]: Taking taylor expansion of y in x 0.287 * [backup-simplify]: Simplify y into y 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (/ y 1) into y 0.287 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.288 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.288 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.288 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 0.288 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.288 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.288 * [taylor]: Taking taylor expansion of 0.5 in y 0.288 * [backup-simplify]: Simplify 0.5 into 0.5 0.288 * [taylor]: Taking taylor expansion of (/ y x) in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [taylor]: Taking taylor expansion of x in y 0.288 * [backup-simplify]: Simplify x into x 0.288 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.288 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.288 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.288 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.288 * [taylor]: Taking taylor expansion of 0.5 in y 0.288 * [backup-simplify]: Simplify 0.5 into 0.5 0.288 * [taylor]: Taking taylor expansion of (/ y x) in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [taylor]: Taking taylor expansion of x in y 0.288 * [backup-simplify]: Simplify x into x 0.288 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.288 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.288 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.288 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.288 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 0.289 * [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 0.289 * [taylor]: Taking taylor expansion of 0 in y 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.289 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.290 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.290 * [backup-simplify]: Simplify (+ 0) into 0 0.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [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 0.291 * [taylor]: Taking taylor expansion of 0 in y 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.292 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.293 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 0.293 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 0.294 * [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))) 0.294 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 0.295 * [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 0.295 * [taylor]: Taking taylor expansion of 0 in y 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.296 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 0.297 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.297 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.297 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.298 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.300 * [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 0.300 * [backup-simplify]: Simplify 0 into 0 0.301 * [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 0.301 * [taylor]: Taking taylor expansion of 0 in y 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [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)))) 0.302 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x))) 0.302 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 0.302 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.303 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.303 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.303 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.303 * [taylor]: Taking taylor expansion of 0.5 in y 0.303 * [backup-simplify]: Simplify 0.5 into 0.5 0.303 * [taylor]: Taking taylor expansion of (/ y x) in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [taylor]: Taking taylor expansion of x in y 0.303 * [backup-simplify]: Simplify x into x 0.303 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.303 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.303 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.303 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.303 * [taylor]: Taking taylor expansion of 0.5 in y 0.303 * [backup-simplify]: Simplify 0.5 into 0.5 0.303 * [taylor]: Taking taylor expansion of (/ y x) in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [taylor]: Taking taylor expansion of x in y 0.303 * [backup-simplify]: Simplify x into x 0.303 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.303 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.304 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.304 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.304 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.304 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.304 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.304 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.304 * [taylor]: Taking taylor expansion of 0.5 in x 0.304 * [backup-simplify]: Simplify 0.5 into 0.5 0.304 * [taylor]: Taking taylor expansion of (/ y x) in x 0.304 * [taylor]: Taking taylor expansion of y in x 0.304 * [backup-simplify]: Simplify y into y 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify (/ y 1) into y 0.304 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.304 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.304 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.304 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.304 * [taylor]: Taking taylor expansion of 0.5 in x 0.305 * [backup-simplify]: Simplify 0.5 into 0.5 0.305 * [taylor]: Taking taylor expansion of (/ y x) in x 0.305 * [taylor]: Taking taylor expansion of y in x 0.305 * [backup-simplify]: Simplify y into y 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 1 into 1 0.305 * [backup-simplify]: Simplify (/ y 1) into y 0.305 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.305 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.305 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.305 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.305 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.305 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.305 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.305 * [taylor]: Taking taylor expansion of 0.5 in x 0.305 * [backup-simplify]: Simplify 0.5 into 0.5 0.305 * [taylor]: Taking taylor expansion of (/ y x) in x 0.305 * [taylor]: Taking taylor expansion of y in x 0.305 * [backup-simplify]: Simplify y into y 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [backup-simplify]: Simplify (/ y 1) into y 0.306 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.306 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.306 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.306 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.306 * [taylor]: Taking taylor expansion of 0.5 in x 0.306 * [backup-simplify]: Simplify 0.5 into 0.5 0.306 * [taylor]: Taking taylor expansion of (/ y x) in x 0.306 * [taylor]: Taking taylor expansion of y in x 0.306 * [backup-simplify]: Simplify y into y 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [backup-simplify]: Simplify (/ y 1) into y 0.306 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.306 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.306 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.307 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 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 0.307 * [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) 0.308 * [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 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 0.308 * [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 0.308 * [taylor]: Taking taylor expansion of 0 in y 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.309 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.310 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.311 * [backup-simplify]: Simplify (+ 0) into 0 0.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify 0 into 0 0.313 * [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 0.313 * [taylor]: Taking taylor expansion of 0 in y 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.314 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.314 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 0.315 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 0.315 * [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))) 0.316 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 0.316 * [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 0.316 * [taylor]: Taking taylor expansion of 0 in y 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.317 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 0.318 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.318 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.319 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.319 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.320 * [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 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [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 0.321 * [taylor]: Taking taylor expansion of 0 in y 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [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)))) 0.322 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.322 * [backup-simplify]: Simplify (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) into (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) 0.322 * [approximate]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in (x y) around 0 0.322 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in y 0.322 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 0.322 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.322 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.322 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.322 * [taylor]: Taking taylor expansion of 0.5 in y 0.322 * [backup-simplify]: Simplify 0.5 into 0.5 0.322 * [taylor]: Taking taylor expansion of (/ x y) in y 0.322 * [taylor]: Taking taylor expansion of x in y 0.322 * [backup-simplify]: Simplify x into x 0.322 * [taylor]: Taking taylor expansion of y in y 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [backup-simplify]: Simplify (/ x 1) into x 0.322 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.322 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 0.322 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 0.322 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.322 * [taylor]: Taking taylor expansion of 0.5 in y 0.322 * [backup-simplify]: Simplify 0.5 into 0.5 0.322 * [taylor]: Taking taylor expansion of (/ x y) in y 0.322 * [taylor]: Taking taylor expansion of x in y 0.322 * [backup-simplify]: Simplify x into x 0.322 * [taylor]: Taking taylor expansion of y in y 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [backup-simplify]: Simplify (/ x 1) into x 0.322 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.322 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 0.323 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.323 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.323 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.323 * [taylor]: Taking taylor expansion of 0.5 in y 0.323 * [backup-simplify]: Simplify 0.5 into 0.5 0.323 * [taylor]: Taking taylor expansion of (/ x y) in y 0.323 * [taylor]: Taking taylor expansion of x in y 0.323 * [backup-simplify]: Simplify x into x 0.323 * [taylor]: Taking taylor expansion of y in y 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [backup-simplify]: Simplify (/ x 1) into x 0.323 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.323 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 0.323 * [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)))) 0.323 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in x 0.323 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 0.323 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.323 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.323 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.323 * [taylor]: Taking taylor expansion of 0.5 in x 0.323 * [backup-simplify]: Simplify 0.5 into 0.5 0.323 * [taylor]: Taking taylor expansion of (/ x y) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [taylor]: Taking taylor expansion of y in x 0.323 * [backup-simplify]: Simplify y into y 0.323 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.323 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.323 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 0.323 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.323 * [taylor]: Taking taylor expansion of 0.5 in x 0.323 * [backup-simplify]: Simplify 0.5 into 0.5 0.323 * [taylor]: Taking taylor expansion of (/ x y) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [taylor]: Taking taylor expansion of y in x 0.324 * [backup-simplify]: Simplify y into y 0.324 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.324 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.324 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.324 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 0.324 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.324 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.324 * [taylor]: Taking taylor expansion of 0.5 in x 0.324 * [backup-simplify]: Simplify 0.5 into 0.5 0.324 * [taylor]: Taking taylor expansion of (/ x y) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [taylor]: Taking taylor expansion of y in x 0.324 * [backup-simplify]: Simplify y into y 0.324 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.324 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.324 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.324 * [backup-simplify]: Simplify (/ (/ 0.5 y) (* 0.5 (/ 1 y))) into 1.0 0.324 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in x 0.324 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 0.324 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.324 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.324 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.324 * [taylor]: Taking taylor expansion of 0.5 in x 0.324 * [backup-simplify]: Simplify 0.5 into 0.5 0.324 * [taylor]: Taking taylor expansion of (/ x y) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.325 * [taylor]: Taking taylor expansion of y in x 0.325 * [backup-simplify]: Simplify y into y 0.325 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.325 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.325 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 0.325 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.325 * [taylor]: Taking taylor expansion of 0.5 in x 0.325 * [backup-simplify]: Simplify 0.5 into 0.5 0.325 * [taylor]: Taking taylor expansion of (/ x y) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [taylor]: Taking taylor expansion of y in x 0.325 * [backup-simplify]: Simplify y into y 0.325 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.325 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.325 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.325 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 0.325 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.325 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.325 * [taylor]: Taking taylor expansion of 0.5 in x 0.325 * [backup-simplify]: Simplify 0.5 into 0.5 0.325 * [taylor]: Taking taylor expansion of (/ x y) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [taylor]: Taking taylor expansion of y in x 0.325 * [backup-simplify]: Simplify y into y 0.325 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.325 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.325 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.325 * [backup-simplify]: Simplify (/ (/ 0.5 y) (* 0.5 (/ 1 y))) into 1.0 0.326 * [taylor]: Taking taylor expansion of 1.0 in y 0.326 * [backup-simplify]: Simplify 1.0 into 1.0 0.326 * [backup-simplify]: Simplify 1.0 into 1.0 0.326 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.326 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.327 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.327 * [backup-simplify]: Simplify (+ 0) into 0 0.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.328 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.328 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.329 * [backup-simplify]: Simplify (- (/ 0 (* 0.5 (/ 1 y))) (+ (* 1.0 (/ 0 (* 0.5 (/ 1 y)))))) into 0 0.329 * [taylor]: Taking taylor expansion of 0 in y 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.329 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.330 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 0.330 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 0.331 * [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))) 0.331 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.332 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.333 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 0.333 * [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))) 0.333 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow y 2))) in y 0.333 * [taylor]: Taking taylor expansion of 0.125 in y 0.333 * [backup-simplify]: Simplify 0.125 into 0.125 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.333 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (* 1 1) into 1 0.334 * [backup-simplify]: Simplify (/ 1 1) into 1 0.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (* 0 1))) into 0 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.338 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.339 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.339 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.339 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.340 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.341 * [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 0.341 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.342 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.343 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.343 * [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 0.343 * [taylor]: Taking taylor expansion of 0 in y 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 1.0 into 1.0 0.344 * [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)))) 0.344 * [approximate]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in (x y) around 0 0.344 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in y 0.344 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.344 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.344 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.344 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.344 * [taylor]: Taking taylor expansion of 0.5 in y 0.344 * [backup-simplify]: Simplify 0.5 into 0.5 0.344 * [taylor]: Taking taylor expansion of (/ y x) in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 1 into 1 0.344 * [taylor]: Taking taylor expansion of x in y 0.344 * [backup-simplify]: Simplify x into x 0.344 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.344 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.344 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.344 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.344 * [taylor]: Taking taylor expansion of 0.5 in y 0.344 * [backup-simplify]: Simplify 0.5 into 0.5 0.344 * [taylor]: Taking taylor expansion of (/ y x) in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 1 into 1 0.344 * [taylor]: Taking taylor expansion of x in y 0.344 * [backup-simplify]: Simplify x into x 0.344 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.344 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.345 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.345 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.345 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.345 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.345 * [taylor]: Taking taylor expansion of 0.5 in y 0.345 * [backup-simplify]: Simplify 0.5 into 0.5 0.345 * [taylor]: Taking taylor expansion of (/ y x) in y 0.345 * [taylor]: Taking taylor expansion of y in y 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 1 into 1 0.345 * [taylor]: Taking taylor expansion of x in y 0.345 * [backup-simplify]: Simplify x into x 0.345 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.345 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.345 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.345 * [backup-simplify]: Simplify (/ (/ 0.5 x) (* 0.5 (/ 1 x))) into 1.0 0.345 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x 0.345 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.345 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.345 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.345 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.345 * [taylor]: Taking taylor expansion of 0.5 in x 0.345 * [backup-simplify]: Simplify 0.5 into 0.5 0.345 * [taylor]: Taking taylor expansion of (/ y x) in x 0.345 * [taylor]: Taking taylor expansion of y in x 0.345 * [backup-simplify]: Simplify y into y 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 1 into 1 0.345 * [backup-simplify]: Simplify (/ y 1) into y 0.346 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.346 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.346 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.346 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.346 * [taylor]: Taking taylor expansion of 0.5 in x 0.346 * [backup-simplify]: Simplify 0.5 into 0.5 0.346 * [taylor]: Taking taylor expansion of (/ y x) in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.346 * [backup-simplify]: Simplify y into y 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 1 into 1 0.346 * [backup-simplify]: Simplify (/ y 1) into y 0.346 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.346 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.346 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.346 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.347 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.347 * [taylor]: Taking taylor expansion of 0.5 in x 0.347 * [backup-simplify]: Simplify 0.5 into 0.5 0.347 * [taylor]: Taking taylor expansion of (/ y x) in x 0.347 * [taylor]: Taking taylor expansion of y in x 0.347 * [backup-simplify]: Simplify y into y 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 1 into 1 0.347 * [backup-simplify]: Simplify (/ y 1) into y 0.347 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.347 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.347 * [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)))) 0.347 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x 0.347 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.348 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.348 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.348 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.348 * [taylor]: Taking taylor expansion of 0.5 in x 0.348 * [backup-simplify]: Simplify 0.5 into 0.5 0.348 * [taylor]: Taking taylor expansion of (/ y x) in x 0.348 * [taylor]: Taking taylor expansion of y in x 0.348 * [backup-simplify]: Simplify y into y 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 1 into 1 0.348 * [backup-simplify]: Simplify (/ y 1) into y 0.348 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.348 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.348 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.348 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.348 * [taylor]: Taking taylor expansion of 0.5 in x 0.348 * [backup-simplify]: Simplify 0.5 into 0.5 0.348 * [taylor]: Taking taylor expansion of (/ y x) in x 0.348 * [taylor]: Taking taylor expansion of y in x 0.348 * [backup-simplify]: Simplify y into y 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 1 into 1 0.348 * [backup-simplify]: Simplify (/ y 1) into y 0.349 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.349 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.349 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.349 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.349 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.349 * [taylor]: Taking taylor expansion of 0.5 in x 0.349 * [backup-simplify]: Simplify 0.5 into 0.5 0.349 * [taylor]: Taking taylor expansion of (/ y x) in x 0.349 * [taylor]: Taking taylor expansion of y in x 0.349 * [backup-simplify]: Simplify y into y 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [backup-simplify]: Simplify (/ y 1) into y 0.349 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.349 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.350 * [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)))) 0.350 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y 0.350 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.350 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.350 * [taylor]: Taking taylor expansion of 0.5 in y 0.350 * [backup-simplify]: Simplify 0.5 into 0.5 0.350 * [taylor]: Taking taylor expansion of (/ y x) in y 0.350 * [taylor]: Taking taylor expansion of y in y 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 1 into 1 0.350 * [taylor]: Taking taylor expansion of x in y 0.350 * [backup-simplify]: Simplify x into x 0.350 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.350 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.351 * [backup-simplify]: Simplify (/ 1 1) into 1 0.351 * [backup-simplify]: Simplify 1 into 1 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))))))) into 0 0.352 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))))) into 0 0.352 * [taylor]: Taking taylor expansion of 0 in y 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify (+ 0) into 0 0.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [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 0.355 * [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 0.355 * [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 0 into 0 0.355 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.125 (/ 1 (pow x 2))) 0.357 * [backup-simplify]: Simplify (* 0.125 (/ 1 (pow x 2))) into (/ 0.125 (pow x 2)) 0.357 * [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 0.358 * [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 0.358 * [taylor]: Taking taylor expansion of 0 in y 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.358 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.359 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.125 (/ 1 (pow x 2))) (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify 0 into 0 0.361 * [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 0.361 * [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 0.361 * [taylor]: Taking taylor expansion of 0 in y 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [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) 0.362 * [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)))) 0.362 * [approximate]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in (x y) around 0 0.362 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in y 0.362 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.362 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.362 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.362 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.362 * [taylor]: Taking taylor expansion of 0.5 in y 0.362 * [backup-simplify]: Simplify 0.5 into 0.5 0.362 * [taylor]: Taking taylor expansion of (/ y x) in y 0.362 * [taylor]: Taking taylor expansion of y in y 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 1 into 1 0.362 * [taylor]: Taking taylor expansion of x in y 0.362 * [backup-simplify]: Simplify x into x 0.362 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.362 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.362 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.362 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.362 * [taylor]: Taking taylor expansion of 0.5 in y 0.362 * [backup-simplify]: Simplify 0.5 into 0.5 0.362 * [taylor]: Taking taylor expansion of (/ y x) in y 0.362 * [taylor]: Taking taylor expansion of y in y 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 1 into 1 0.362 * [taylor]: Taking taylor expansion of x in y 0.362 * [backup-simplify]: Simplify x into x 0.362 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.362 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.362 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.362 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.362 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.362 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.363 * [taylor]: Taking taylor expansion of 0.5 in y 0.363 * [backup-simplify]: Simplify 0.5 into 0.5 0.363 * [taylor]: Taking taylor expansion of (/ y x) in y 0.363 * [taylor]: Taking taylor expansion of y in y 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 1 into 1 0.363 * [taylor]: Taking taylor expansion of x in y 0.363 * [backup-simplify]: Simplify x into x 0.363 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.363 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.363 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.363 * [backup-simplify]: Simplify (/ (/ 0.5 x) (* 0.5 (/ 1 x))) into 1.0 0.363 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x 0.363 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.363 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.363 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.363 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.363 * [taylor]: Taking taylor expansion of 0.5 in x 0.363 * [backup-simplify]: Simplify 0.5 into 0.5 0.363 * [taylor]: Taking taylor expansion of (/ y x) in x 0.363 * [taylor]: Taking taylor expansion of y in x 0.363 * [backup-simplify]: Simplify y into y 0.363 * [taylor]: Taking taylor expansion of x in x 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 1 into 1 0.363 * [backup-simplify]: Simplify (/ y 1) into y 0.363 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.363 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.363 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.363 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.363 * [taylor]: Taking taylor expansion of 0.5 in x 0.363 * [backup-simplify]: Simplify 0.5 into 0.5 0.363 * [taylor]: Taking taylor expansion of (/ y x) in x 0.363 * [taylor]: Taking taylor expansion of y in x 0.363 * [backup-simplify]: Simplify y into y 0.363 * [taylor]: Taking taylor expansion of x in x 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 1 into 1 0.363 * [backup-simplify]: Simplify (/ y 1) into y 0.363 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.364 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.364 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.364 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.364 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.364 * [taylor]: Taking taylor expansion of 0.5 in x 0.364 * [backup-simplify]: Simplify 0.5 into 0.5 0.364 * [taylor]: Taking taylor expansion of (/ y x) in x 0.364 * [taylor]: Taking taylor expansion of y in x 0.364 * [backup-simplify]: Simplify y into y 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 1 into 1 0.364 * [backup-simplify]: Simplify (/ y 1) into y 0.364 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.364 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.364 * [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)))) 0.364 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x 0.364 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.364 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.364 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.364 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.364 * [taylor]: Taking taylor expansion of 0.5 in x 0.364 * [backup-simplify]: Simplify 0.5 into 0.5 0.364 * [taylor]: Taking taylor expansion of (/ y x) in x 0.364 * [taylor]: Taking taylor expansion of y in x 0.364 * [backup-simplify]: Simplify y into y 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 1 into 1 0.364 * [backup-simplify]: Simplify (/ y 1) into y 0.365 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.365 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.365 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.365 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.365 * [taylor]: Taking taylor expansion of 0.5 in x 0.365 * [backup-simplify]: Simplify 0.5 into 0.5 0.365 * [taylor]: Taking taylor expansion of (/ y x) in x 0.365 * [taylor]: Taking taylor expansion of y in x 0.365 * [backup-simplify]: Simplify y into y 0.365 * [taylor]: Taking taylor expansion of x in x 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 1 into 1 0.365 * [backup-simplify]: Simplify (/ y 1) into y 0.365 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.365 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.365 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.365 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.365 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.365 * [taylor]: Taking taylor expansion of 0.5 in x 0.365 * [backup-simplify]: Simplify 0.5 into 0.5 0.365 * [taylor]: Taking taylor expansion of (/ y x) in x 0.365 * [taylor]: Taking taylor expansion of y in x 0.365 * [backup-simplify]: Simplify y into y 0.365 * [taylor]: Taking taylor expansion of x in x 0.365 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify (/ y 1) into y 0.370 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.371 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.371 * [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)))) 0.371 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y 0.371 * [taylor]: Taking taylor expansion of (cos (* 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) 0.372 * [backup-simplify]: Simplify (/ 1 1) into 1 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [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 0.372 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))))) into 0 0.372 * [taylor]: Taking taylor expansion of 0 in y 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify (+ 0) into 0 0.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.373 * [backup-simplify]: Simplify 0 into 0 0.374 * [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 0.374 * [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 0.374 * [taylor]: Taking taylor expansion of 0 in y 0.374 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 0.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.125 (/ 1 (pow x 2))) 0.375 * [backup-simplify]: Simplify (* 0.125 (/ 1 (pow x 2))) into (/ 0.125 (pow x 2)) 0.376 * [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 0.376 * [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 0.376 * [taylor]: Taking taylor expansion of 0 in y 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.377 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.378 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.125 (/ 1 (pow x 2))) (/ 0 1)))) into 0 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [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 0.380 * [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 0.380 * [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 (+ (* (/ 0.125 (pow (/ 1 (- x)) 2)) (pow (* (/ 1 (- y)) 1) 2)) 1) into (+ (* 0.125 (/ (pow x 2) (pow y 2))) 1) 0.380 * * * [progress]: simplifying candidates 0.381 * [simplify]: Simplifying: (expm1 (sin (/ x (* y 2.0)))) (log1p (sin (/ 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)))) (expm1 (tan (/ x (* y 2.0)))) (log1p (tan (/ x (* y 2.0)))) (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)))) (expm1 (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (log1p (/ (tan (/ x (* y 2.0))) (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)) (* 0.5 (/ x y)) 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)))) 1.0 (+ (* 0.125 (/ (pow x 2) (pow y 2))) 1) (+ (* 0.125 (/ (pow x 2) (pow y 2))) 1) 0.382 * * [simplify]: iteration 0: 83 enodes 0.404 * * [simplify]: iteration 1: 152 enodes 0.470 * * [simplify]: iteration 2: 422 enodes 0.677 * * [simplify]: iteration 3: 1547 enodes 1.842 * * [simplify]: iteration complete: 5001 enodes 1.842 * * [simplify]: Extracting #0: cost 55 inf + 0 1.842 * * [simplify]: Extracting #1: cost 220 inf + 3 1.845 * * [simplify]: Extracting #2: cost 1221 inf + 330 1.865 * * [simplify]: Extracting #3: cost 1585 inf + 26922 1.904 * * [simplify]: Extracting #4: cost 832 inf + 165600 1.962 * * [simplify]: Extracting #5: cost 226 inf + 339746 2.035 * * [simplify]: Extracting #6: cost 24 inf + 415133 2.108 * * [simplify]: Extracting #7: cost 0 inf + 424077 2.183 * [simplify]: Simplified to: (expm1 (sin (/ (/ x y) 2.0))) (log1p (sin (/ (/ 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))) (expm1 (tan (/ (/ x y) 2.0))) (log1p (tan (/ (/ x y) 2.0))) (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))) (expm1 (/ (tan (/ (/ x y) 2.0)) (sin (/ (/ x y) 2.0)))) (log1p (/ (tan (/ (/ x y) 2.0)) (sin (/ (/ x y) 2.0)))) (log (/ (tan (/ (/ x y) 2.0)) (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)) (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))))) (* (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 (sin (/ (/ x y) 2.0)))) (/ (cbrt (tan (/ (/ 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))) (/ (sqrt (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))) (cbrt (tan (/ (/ x y) 2.0)))) (/ (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))) (/ (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 (/ (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)) (/ (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 (* (/ x y) 0.5) (* (/ x y) 0.5) 0 (fma 0.04166666666666667 (* (* (/ x y) (/ x y)) (/ x y)) (* (/ x y) 0.5)) (fma 0.04166666666666667 (* (* (/ x y) (/ x y)) (/ x y)) (* (/ x y) 0.5)) 1.0 (fma (* (/ x y) (/ x y)) 0.125 1) (fma (* (/ x y) (/ x y)) 0.125 1) 2.186 * * * [progress]: adding candidates to table 2.576 * * [progress]: iteration 2 / 4 2.576 * * * [progress]: picking best candidate 2.655 * * * * [pick]: Picked # 2.655 * * * [progress]: localizing error 2.656 * * * [progress]: generating rewritten candidates 2.656 * * * [progress]: generating series expansions 2.656 * * * [progress]: simplifying candidates 2.656 * [simplify]: Simplifying: 2.656 * * [simplify]: iteration 0: 0 enodes 2.656 * * [simplify]: iteration complete: 0 enodes 2.656 * * [simplify]: Extracting #0: cost 0 inf + 0 2.656 * [simplify]: Simplified to: 2.656 * * * [progress]: adding candidates to table 2.656 * * [progress]: iteration 3 / 4 2.656 * * * [progress]: picking best candidate 2.729 * * * * [pick]: Picked # 2.729 * * * [progress]: localizing error 2.769 * * * [progress]: generating rewritten candidates 2.769 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.773 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 2.777 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 2.781 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.809 * * * [progress]: generating series expansions 2.809 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.809 * [backup-simplify]: Simplify (sin (/ x (* y 2.0))) into (sin (* 0.5 (/ x y))) 2.809 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in (x y) around 0 2.809 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 2.809 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 2.809 * [taylor]: Taking taylor expansion of 0.5 in y 2.809 * [backup-simplify]: Simplify 0.5 into 0.5 2.809 * [taylor]: Taking taylor expansion of (/ x y) in y 2.809 * [taylor]: Taking taylor expansion of x in y 2.809 * [backup-simplify]: Simplify x into x 2.809 * [taylor]: Taking taylor expansion of y in y 2.810 * [backup-simplify]: Simplify 0 into 0 2.810 * [backup-simplify]: Simplify 1 into 1 2.810 * [backup-simplify]: Simplify (/ x 1) into x 2.810 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 2.810 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 2.810 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 2.810 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 2.810 * [taylor]: Taking taylor expansion of 0.5 in x 2.810 * [backup-simplify]: Simplify 0.5 into 0.5 2.810 * [taylor]: Taking taylor expansion of (/ x y) in x 2.810 * [taylor]: Taking taylor expansion of x in x 2.810 * [backup-simplify]: Simplify 0 into 0 2.810 * [backup-simplify]: Simplify 1 into 1 2.810 * [taylor]: Taking taylor expansion of y in x 2.810 * [backup-simplify]: Simplify y into y 2.810 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.810 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 2.810 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 2.810 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 2.810 * [taylor]: Taking taylor expansion of 0.5 in x 2.810 * [backup-simplify]: Simplify 0.5 into 0.5 2.810 * [taylor]: Taking taylor expansion of (/ x y) in x 2.810 * [taylor]: Taking taylor expansion of x in x 2.810 * [backup-simplify]: Simplify 0 into 0 2.810 * [backup-simplify]: Simplify 1 into 1 2.810 * [taylor]: Taking taylor expansion of y in x 2.810 * [backup-simplify]: Simplify y into y 2.810 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.810 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 2.810 * [taylor]: Taking taylor expansion of 0 in y 2.810 * [backup-simplify]: Simplify 0 into 0 2.810 * [backup-simplify]: Simplify 0 into 0 2.810 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 2.810 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 2.810 * [taylor]: Taking taylor expansion of 0.5 in y 2.810 * [backup-simplify]: Simplify 0.5 into 0.5 2.810 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.810 * [taylor]: Taking taylor expansion of y in y 2.811 * [backup-simplify]: Simplify 0 into 0 2.811 * [backup-simplify]: Simplify 1 into 1 2.811 * [backup-simplify]: Simplify (/ 1 1) into 1 2.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.812 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.812 * [backup-simplify]: Simplify 0 into 0 2.812 * [backup-simplify]: Simplify 0 into 0 2.812 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 2.813 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 2.813 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.813 * [taylor]: Taking taylor expansion of 0 in y 2.813 * [backup-simplify]: Simplify 0 into 0 2.813 * [backup-simplify]: Simplify 0 into 0 2.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.814 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 2.814 * [backup-simplify]: Simplify 0 into 0 2.814 * [backup-simplify]: Simplify 0 into 0 2.814 * [backup-simplify]: Simplify 0 into 0 2.815 * [backup-simplify]: Simplify (sin (/ (/ 1 x) (* (/ 1 y) 2.0))) into (sin (* 0.5 (/ y x))) 2.815 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0 2.815 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.815 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.815 * [taylor]: Taking taylor expansion of 0.5 in y 2.815 * [backup-simplify]: Simplify 0.5 into 0.5 2.815 * [taylor]: Taking taylor expansion of (/ y x) in y 2.815 * [taylor]: Taking taylor expansion of y in y 2.815 * [backup-simplify]: Simplify 0 into 0 2.815 * [backup-simplify]: Simplify 1 into 1 2.815 * [taylor]: Taking taylor expansion of x in y 2.815 * [backup-simplify]: Simplify x into x 2.815 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.815 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.815 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.815 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.815 * [taylor]: Taking taylor expansion of 0.5 in x 2.815 * [backup-simplify]: Simplify 0.5 into 0.5 2.815 * [taylor]: Taking taylor expansion of (/ y x) in x 2.815 * [taylor]: Taking taylor expansion of y in x 2.815 * [backup-simplify]: Simplify y into y 2.815 * [taylor]: Taking taylor expansion of x in x 2.815 * [backup-simplify]: Simplify 0 into 0 2.815 * [backup-simplify]: Simplify 1 into 1 2.815 * [backup-simplify]: Simplify (/ y 1) into y 2.815 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.815 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.815 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.815 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.815 * [taylor]: Taking taylor expansion of 0.5 in x 2.815 * [backup-simplify]: Simplify 0.5 into 0.5 2.815 * [taylor]: Taking taylor expansion of (/ y x) in x 2.815 * [taylor]: Taking taylor expansion of y in x 2.815 * [backup-simplify]: Simplify y into y 2.815 * [taylor]: Taking taylor expansion of x in x 2.815 * [backup-simplify]: Simplify 0 into 0 2.815 * [backup-simplify]: Simplify 1 into 1 2.815 * [backup-simplify]: Simplify (/ y 1) into y 2.815 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.815 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.816 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.816 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.816 * [taylor]: Taking taylor expansion of 0.5 in y 2.816 * [backup-simplify]: Simplify 0.5 into 0.5 2.816 * [taylor]: Taking taylor expansion of (/ y x) in y 2.816 * [taylor]: Taking taylor expansion of y in y 2.816 * [backup-simplify]: Simplify 0 into 0 2.816 * [backup-simplify]: Simplify 1 into 1 2.816 * [taylor]: Taking taylor expansion of x in y 2.816 * [backup-simplify]: Simplify x into x 2.816 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.816 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.816 * [backup-simplify]: Simplify 0 into 0 2.816 * [taylor]: Taking taylor expansion of 0 in y 2.816 * [backup-simplify]: Simplify 0 into 0 2.816 * [backup-simplify]: Simplify 0 into 0 2.816 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 2.816 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.816 * [taylor]: Taking taylor expansion of 0 in y 2.816 * [backup-simplify]: Simplify 0 into 0 2.816 * [backup-simplify]: Simplify 0 into 0 2.816 * [backup-simplify]: Simplify 0 into 0 2.816 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.817 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 2.817 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.817 * [backup-simplify]: Simplify 0 into 0 2.817 * [taylor]: Taking taylor expansion of 0 in y 2.817 * [backup-simplify]: Simplify 0 into 0 2.817 * [backup-simplify]: Simplify 0 into 0 2.818 * [backup-simplify]: Simplify 0 into 0 2.818 * [backup-simplify]: Simplify 0 into 0 2.818 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1)) into (* 0.5 (/ x y)) 2.818 * [backup-simplify]: Simplify (sin (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (sin (* 0.5 (/ y x))) 2.818 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0 2.818 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.818 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.818 * [taylor]: Taking taylor expansion of 0.5 in y 2.818 * [backup-simplify]: Simplify 0.5 into 0.5 2.818 * [taylor]: Taking taylor expansion of (/ y x) in y 2.818 * [taylor]: Taking taylor expansion of y in y 2.818 * [backup-simplify]: Simplify 0 into 0 2.818 * [backup-simplify]: Simplify 1 into 1 2.818 * [taylor]: Taking taylor expansion of x in y 2.818 * [backup-simplify]: Simplify x into x 2.818 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.818 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.818 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.818 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.818 * [taylor]: Taking taylor expansion of 0.5 in x 2.818 * [backup-simplify]: Simplify 0.5 into 0.5 2.818 * [taylor]: Taking taylor expansion of (/ y x) in x 2.818 * [taylor]: Taking taylor expansion of y in x 2.818 * [backup-simplify]: Simplify y into y 2.818 * [taylor]: Taking taylor expansion of x in x 2.818 * [backup-simplify]: Simplify 0 into 0 2.818 * [backup-simplify]: Simplify 1 into 1 2.818 * [backup-simplify]: Simplify (/ y 1) into y 2.818 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.818 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.818 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.818 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.818 * [taylor]: Taking taylor expansion of 0.5 in x 2.818 * [backup-simplify]: Simplify 0.5 into 0.5 2.818 * [taylor]: Taking taylor expansion of (/ y x) in x 2.818 * [taylor]: Taking taylor expansion of y in x 2.818 * [backup-simplify]: Simplify y into y 2.818 * [taylor]: Taking taylor expansion of x in x 2.818 * [backup-simplify]: Simplify 0 into 0 2.818 * [backup-simplify]: Simplify 1 into 1 2.819 * [backup-simplify]: Simplify (/ y 1) into y 2.819 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.819 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.819 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.819 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.819 * [taylor]: Taking taylor expansion of 0.5 in y 2.819 * [backup-simplify]: Simplify 0.5 into 0.5 2.819 * [taylor]: Taking taylor expansion of (/ y x) in y 2.819 * [taylor]: Taking taylor expansion of y in y 2.819 * [backup-simplify]: Simplify 0 into 0 2.819 * [backup-simplify]: Simplify 1 into 1 2.819 * [taylor]: Taking taylor expansion of x in y 2.819 * [backup-simplify]: Simplify x into x 2.819 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.819 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.819 * [backup-simplify]: Simplify 0 into 0 2.819 * [taylor]: Taking taylor expansion of 0 in y 2.819 * [backup-simplify]: Simplify 0 into 0 2.819 * [backup-simplify]: Simplify 0 into 0 2.819 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 2.819 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.819 * [taylor]: Taking taylor expansion of 0 in y 2.819 * [backup-simplify]: Simplify 0 into 0 2.819 * [backup-simplify]: Simplify 0 into 0 2.819 * [backup-simplify]: Simplify 0 into 0 2.819 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.820 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 2.821 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.821 * [backup-simplify]: Simplify 0 into 0 2.821 * [taylor]: Taking taylor expansion of 0 in y 2.821 * [backup-simplify]: Simplify 0 into 0 2.821 * [backup-simplify]: Simplify 0 into 0 2.821 * [backup-simplify]: Simplify 0 into 0 2.821 * [backup-simplify]: Simplify 0 into 0 2.821 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1)) into (* 0.5 (/ x y)) 2.821 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 2.821 * [backup-simplify]: Simplify (sin (/ x (* y 2.0))) into (sin (* 0.5 (/ x y))) 2.821 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in (x y) around 0 2.821 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 2.821 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 2.821 * [taylor]: Taking taylor expansion of 0.5 in y 2.821 * [backup-simplify]: Simplify 0.5 into 0.5 2.821 * [taylor]: Taking taylor expansion of (/ x y) in y 2.821 * [taylor]: Taking taylor expansion of x in y 2.821 * [backup-simplify]: Simplify x into x 2.821 * [taylor]: Taking taylor expansion of y in y 2.821 * [backup-simplify]: Simplify 0 into 0 2.821 * [backup-simplify]: Simplify 1 into 1 2.821 * [backup-simplify]: Simplify (/ x 1) into x 2.821 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 2.821 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 2.821 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 2.821 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 2.821 * [taylor]: Taking taylor expansion of 0.5 in x 2.821 * [backup-simplify]: Simplify 0.5 into 0.5 2.821 * [taylor]: Taking taylor expansion of (/ x y) in x 2.821 * [taylor]: Taking taylor expansion of x in x 2.821 * [backup-simplify]: Simplify 0 into 0 2.821 * [backup-simplify]: Simplify 1 into 1 2.821 * [taylor]: Taking taylor expansion of y in x 2.821 * [backup-simplify]: Simplify y into y 2.821 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.822 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 2.822 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 2.822 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 2.822 * [taylor]: Taking taylor expansion of 0.5 in x 2.822 * [backup-simplify]: Simplify 0.5 into 0.5 2.822 * [taylor]: Taking taylor expansion of (/ x y) in x 2.822 * [taylor]: Taking taylor expansion of x in x 2.822 * [backup-simplify]: Simplify 0 into 0 2.822 * [backup-simplify]: Simplify 1 into 1 2.822 * [taylor]: Taking taylor expansion of y in x 2.822 * [backup-simplify]: Simplify y into y 2.822 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.822 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 2.822 * [taylor]: Taking taylor expansion of 0 in y 2.822 * [backup-simplify]: Simplify 0 into 0 2.822 * [backup-simplify]: Simplify 0 into 0 2.822 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 2.822 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 2.822 * [taylor]: Taking taylor expansion of 0.5 in y 2.822 * [backup-simplify]: Simplify 0.5 into 0.5 2.822 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.822 * [taylor]: Taking taylor expansion of y in y 2.822 * [backup-simplify]: Simplify 0 into 0 2.822 * [backup-simplify]: Simplify 1 into 1 2.823 * [backup-simplify]: Simplify (/ 1 1) into 1 2.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.823 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.823 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 2.824 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 2.824 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.824 * [taylor]: Taking taylor expansion of 0 in y 2.825 * [backup-simplify]: Simplify 0 into 0 2.825 * [backup-simplify]: Simplify 0 into 0 2.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.826 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 2.826 * [backup-simplify]: Simplify 0 into 0 2.826 * [backup-simplify]: Simplify 0 into 0 2.826 * [backup-simplify]: Simplify 0 into 0 2.826 * [backup-simplify]: Simplify (sin (/ (/ 1 x) (* (/ 1 y) 2.0))) into (sin (* 0.5 (/ y x))) 2.826 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0 2.826 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.826 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.826 * [taylor]: Taking taylor expansion of 0.5 in y 2.826 * [backup-simplify]: Simplify 0.5 into 0.5 2.826 * [taylor]: Taking taylor expansion of (/ y x) in y 2.826 * [taylor]: Taking taylor expansion of y in y 2.826 * [backup-simplify]: Simplify 0 into 0 2.826 * [backup-simplify]: Simplify 1 into 1 2.826 * [taylor]: Taking taylor expansion of x in y 2.826 * [backup-simplify]: Simplify x into x 2.826 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.826 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.826 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.826 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.826 * [taylor]: Taking taylor expansion of 0.5 in x 2.826 * [backup-simplify]: Simplify 0.5 into 0.5 2.826 * [taylor]: Taking taylor expansion of (/ y x) in x 2.826 * [taylor]: Taking taylor expansion of y in x 2.826 * [backup-simplify]: Simplify y into y 2.826 * [taylor]: Taking taylor expansion of x in x 2.826 * [backup-simplify]: Simplify 0 into 0 2.826 * [backup-simplify]: Simplify 1 into 1 2.826 * [backup-simplify]: Simplify (/ y 1) into y 2.826 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.827 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.827 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.827 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.827 * [taylor]: Taking taylor expansion of 0.5 in x 2.827 * [backup-simplify]: Simplify 0.5 into 0.5 2.827 * [taylor]: Taking taylor expansion of (/ y x) in x 2.827 * [taylor]: Taking taylor expansion of y in x 2.827 * [backup-simplify]: Simplify y into y 2.827 * [taylor]: Taking taylor expansion of x in x 2.827 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify 1 into 1 2.827 * [backup-simplify]: Simplify (/ y 1) into y 2.827 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.827 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.827 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.827 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.827 * [taylor]: Taking taylor expansion of 0.5 in y 2.827 * [backup-simplify]: Simplify 0.5 into 0.5 2.827 * [taylor]: Taking taylor expansion of (/ y x) in y 2.827 * [taylor]: Taking taylor expansion of y in y 2.827 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify 1 into 1 2.827 * [taylor]: Taking taylor expansion of x in y 2.827 * [backup-simplify]: Simplify x into x 2.827 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.827 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.827 * [backup-simplify]: Simplify 0 into 0 2.827 * [taylor]: Taking taylor expansion of 0 in y 2.827 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 2.827 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.827 * [taylor]: Taking taylor expansion of 0 in y 2.827 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify 0 into 0 2.828 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.828 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 2.829 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.829 * [backup-simplify]: Simplify 0 into 0 2.829 * [taylor]: Taking taylor expansion of 0 in y 2.829 * [backup-simplify]: Simplify 0 into 0 2.829 * [backup-simplify]: Simplify 0 into 0 2.829 * [backup-simplify]: Simplify 0 into 0 2.829 * [backup-simplify]: Simplify 0 into 0 2.829 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1)) into (* 0.5 (/ x y)) 2.829 * [backup-simplify]: Simplify (sin (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (sin (* 0.5 (/ y x))) 2.829 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0 2.829 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.829 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.829 * [taylor]: Taking taylor expansion of 0.5 in y 2.829 * [backup-simplify]: Simplify 0.5 into 0.5 2.829 * [taylor]: Taking taylor expansion of (/ y x) in y 2.829 * [taylor]: Taking taylor expansion of y in y 2.829 * [backup-simplify]: Simplify 0 into 0 2.829 * [backup-simplify]: Simplify 1 into 1 2.829 * [taylor]: Taking taylor expansion of x in y 2.829 * [backup-simplify]: Simplify x into x 2.829 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.829 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.829 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.829 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.829 * [taylor]: Taking taylor expansion of 0.5 in x 2.829 * [backup-simplify]: Simplify 0.5 into 0.5 2.829 * [taylor]: Taking taylor expansion of (/ y x) in x 2.829 * [taylor]: Taking taylor expansion of y in x 2.829 * [backup-simplify]: Simplify y into y 2.829 * [taylor]: Taking taylor expansion of x in x 2.829 * [backup-simplify]: Simplify 0 into 0 2.829 * [backup-simplify]: Simplify 1 into 1 2.829 * [backup-simplify]: Simplify (/ y 1) into y 2.829 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.830 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.830 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.830 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.830 * [taylor]: Taking taylor expansion of 0.5 in x 2.830 * [backup-simplify]: Simplify 0.5 into 0.5 2.830 * [taylor]: Taking taylor expansion of (/ y x) in x 2.830 * [taylor]: Taking taylor expansion of y in x 2.830 * [backup-simplify]: Simplify y into y 2.830 * [taylor]: Taking taylor expansion of x in x 2.830 * [backup-simplify]: Simplify 0 into 0 2.830 * [backup-simplify]: Simplify 1 into 1 2.830 * [backup-simplify]: Simplify (/ y 1) into y 2.830 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.830 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.830 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.830 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.830 * [taylor]: Taking taylor expansion of 0.5 in y 2.830 * [backup-simplify]: Simplify 0.5 into 0.5 2.830 * [taylor]: Taking taylor expansion of (/ y x) in y 2.830 * [taylor]: Taking taylor expansion of y in y 2.830 * [backup-simplify]: Simplify 0 into 0 2.830 * [backup-simplify]: Simplify 1 into 1 2.830 * [taylor]: Taking taylor expansion of x in y 2.830 * [backup-simplify]: Simplify x into x 2.830 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.830 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.830 * [backup-simplify]: Simplify 0 into 0 2.830 * [taylor]: Taking taylor expansion of 0 in y 2.830 * [backup-simplify]: Simplify 0 into 0 2.830 * [backup-simplify]: Simplify 0 into 0 2.830 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 2.830 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.830 * [taylor]: Taking taylor expansion of 0 in y 2.830 * [backup-simplify]: Simplify 0 into 0 2.830 * [backup-simplify]: Simplify 0 into 0 2.830 * [backup-simplify]: Simplify 0 into 0 2.831 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.831 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 2.832 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.832 * [backup-simplify]: Simplify 0 into 0 2.832 * [taylor]: Taking taylor expansion of 0 in y 2.832 * [backup-simplify]: Simplify 0 into 0 2.832 * [backup-simplify]: Simplify 0 into 0 2.832 * [backup-simplify]: Simplify 0 into 0 2.832 * [backup-simplify]: Simplify 0 into 0 2.832 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1)) into (* 0.5 (/ x y)) 2.832 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 2.832 * [backup-simplify]: Simplify (cos (/ x (* y 2.0))) into (cos (* 0.5 (/ x y))) 2.832 * [approximate]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in (x y) around 0 2.832 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 2.832 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 2.832 * [taylor]: Taking taylor expansion of 0.5 in y 2.832 * [backup-simplify]: Simplify 0.5 into 0.5 2.832 * [taylor]: Taking taylor expansion of (/ x y) in y 2.832 * [taylor]: Taking taylor expansion of x in y 2.832 * [backup-simplify]: Simplify x into x 2.832 * [taylor]: Taking taylor expansion of y in y 2.832 * [backup-simplify]: Simplify 0 into 0 2.832 * [backup-simplify]: Simplify 1 into 1 2.832 * [backup-simplify]: Simplify (/ x 1) into x 2.832 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 2.832 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 2.832 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 2.832 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 2.832 * [taylor]: Taking taylor expansion of 0.5 in x 2.832 * [backup-simplify]: Simplify 0.5 into 0.5 2.832 * [taylor]: Taking taylor expansion of (/ x y) in x 2.832 * [taylor]: Taking taylor expansion of x in x 2.832 * [backup-simplify]: Simplify 0 into 0 2.832 * [backup-simplify]: Simplify 1 into 1 2.832 * [taylor]: Taking taylor expansion of y in x 2.832 * [backup-simplify]: Simplify y into y 2.832 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.833 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 2.833 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 2.833 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 2.833 * [taylor]: Taking taylor expansion of 0.5 in x 2.833 * [backup-simplify]: Simplify 0.5 into 0.5 2.833 * [taylor]: Taking taylor expansion of (/ x y) in x 2.833 * [taylor]: Taking taylor expansion of x in x 2.833 * [backup-simplify]: Simplify 0 into 0 2.833 * [backup-simplify]: Simplify 1 into 1 2.833 * [taylor]: Taking taylor expansion of y in x 2.833 * [backup-simplify]: Simplify y into y 2.833 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.833 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 2.833 * [taylor]: Taking taylor expansion of 1 in y 2.833 * [backup-simplify]: Simplify 1 into 1 2.833 * [backup-simplify]: Simplify 1 into 1 2.833 * [backup-simplify]: Simplify (+ 0) into 0 2.833 * [taylor]: Taking taylor expansion of 0 in y 2.833 * [backup-simplify]: Simplify 0 into 0 2.833 * [backup-simplify]: Simplify 0 into 0 2.833 * [backup-simplify]: Simplify 0 into 0 2.834 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 2.834 * [taylor]: Taking taylor expansion of (- (* 0.125 (/ 1 (pow y 2)))) in y 2.834 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow y 2))) in y 2.834 * [taylor]: Taking taylor expansion of 0.125 in y 2.834 * [backup-simplify]: Simplify 0.125 into 0.125 2.834 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.834 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.834 * [taylor]: Taking taylor expansion of y in y 2.834 * [backup-simplify]: Simplify 0 into 0 2.834 * [backup-simplify]: Simplify 1 into 1 2.834 * [backup-simplify]: Simplify (* 1 1) into 1 2.834 * [backup-simplify]: Simplify (/ 1 1) into 1 2.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.837 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (* 0 1))) into 0 2.837 * [backup-simplify]: Simplify (- 0) into 0 2.837 * [backup-simplify]: Simplify 0 into 0 2.837 * [backup-simplify]: Simplify 0 into 0 2.837 * [backup-simplify]: Simplify 0 into 0 2.838 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 2.838 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 2.839 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.839 * [taylor]: Taking taylor expansion of 0 in y 2.839 * [backup-simplify]: Simplify 0 into 0 2.839 * [backup-simplify]: Simplify 0 into 0 2.839 * [backup-simplify]: Simplify 1 into 1 2.839 * [backup-simplify]: Simplify (cos (/ (/ 1 x) (* (/ 1 y) 2.0))) into (cos (* 0.5 (/ y x))) 2.839 * [approximate]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in (x y) around 0 2.839 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 2.839 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.839 * [taylor]: Taking taylor expansion of 0.5 in y 2.839 * [backup-simplify]: Simplify 0.5 into 0.5 2.839 * [taylor]: Taking taylor expansion of (/ y x) in y 2.839 * [taylor]: Taking taylor expansion of y in y 2.839 * [backup-simplify]: Simplify 0 into 0 2.839 * [backup-simplify]: Simplify 1 into 1 2.839 * [taylor]: Taking taylor expansion of x in y 2.839 * [backup-simplify]: Simplify x into x 2.839 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.839 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.839 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 2.839 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.839 * [taylor]: Taking taylor expansion of 0.5 in x 2.839 * [backup-simplify]: Simplify 0.5 into 0.5 2.839 * [taylor]: Taking taylor expansion of (/ y x) in x 2.840 * [taylor]: Taking taylor expansion of y in x 2.840 * [backup-simplify]: Simplify y into y 2.840 * [taylor]: Taking taylor expansion of x in x 2.840 * [backup-simplify]: Simplify 0 into 0 2.840 * [backup-simplify]: Simplify 1 into 1 2.840 * [backup-simplify]: Simplify (/ y 1) into y 2.840 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.840 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 2.840 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 2.840 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.840 * [taylor]: Taking taylor expansion of 0.5 in x 2.840 * [backup-simplify]: Simplify 0.5 into 0.5 2.840 * [taylor]: Taking taylor expansion of (/ y x) in x 2.840 * [taylor]: Taking taylor expansion of y in x 2.840 * [backup-simplify]: Simplify y into y 2.840 * [taylor]: Taking taylor expansion of x in x 2.840 * [backup-simplify]: Simplify 0 into 0 2.840 * [backup-simplify]: Simplify 1 into 1 2.840 * [backup-simplify]: Simplify (/ y 1) into y 2.840 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.840 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 2.840 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 2.840 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.840 * [taylor]: Taking taylor expansion of 0.5 in y 2.841 * [backup-simplify]: Simplify 0.5 into 0.5 2.841 * [taylor]: Taking taylor expansion of (/ y x) in y 2.841 * [taylor]: Taking taylor expansion of y in y 2.841 * [backup-simplify]: Simplify 0 into 0 2.841 * [backup-simplify]: Simplify 1 into 1 2.841 * [taylor]: Taking taylor expansion of x in y 2.841 * [backup-simplify]: Simplify x into x 2.841 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.841 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.841 * [backup-simplify]: Simplify 1 into 1 2.841 * [taylor]: Taking taylor expansion of 0 in y 2.841 * [backup-simplify]: Simplify 0 into 0 2.841 * [backup-simplify]: Simplify 0 into 0 2.842 * [backup-simplify]: Simplify (+ 0) into 0 2.842 * [backup-simplify]: Simplify 0 into 0 2.842 * [taylor]: Taking taylor expansion of 0 in y 2.842 * [backup-simplify]: Simplify 0 into 0 2.842 * [backup-simplify]: Simplify 0 into 0 2.842 * [backup-simplify]: Simplify 0 into 0 2.842 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 2.842 * [backup-simplify]: Simplify (- (* 0.125 (/ 1 (pow x 2)))) into (- (* 0.125 (/ 1 (pow x 2)))) 2.842 * [taylor]: Taking taylor expansion of 0 in y 2.843 * [backup-simplify]: Simplify 0 into 0 2.843 * [backup-simplify]: Simplify 0 into 0 2.843 * [backup-simplify]: Simplify 0 into 0 2.843 * [backup-simplify]: Simplify 0 into 0 2.843 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.844 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 2.845 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.845 * [backup-simplify]: Simplify 0 into 0 2.845 * [taylor]: Taking taylor expansion of 0 in y 2.845 * [backup-simplify]: Simplify 0 into 0 2.845 * [backup-simplify]: Simplify 0 into 0 2.845 * [backup-simplify]: Simplify 0 into 0 2.845 * [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)))) 2.846 * [backup-simplify]: Simplify (cos (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (cos (* 0.5 (/ y x))) 2.846 * [approximate]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in (x y) around 0 2.846 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 2.846 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.846 * [taylor]: Taking taylor expansion of 0.5 in y 2.846 * [backup-simplify]: Simplify 0.5 into 0.5 2.846 * [taylor]: Taking taylor expansion of (/ y x) in y 2.846 * [taylor]: Taking taylor expansion of y in y 2.846 * [backup-simplify]: Simplify 0 into 0 2.846 * [backup-simplify]: Simplify 1 into 1 2.846 * [taylor]: Taking taylor expansion of x in y 2.846 * [backup-simplify]: Simplify x into x 2.846 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.846 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.846 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 2.846 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.846 * [taylor]: Taking taylor expansion of 0.5 in x 2.846 * [backup-simplify]: Simplify 0.5 into 0.5 2.846 * [taylor]: Taking taylor expansion of (/ y x) in x 2.846 * [taylor]: Taking taylor expansion of y in x 2.846 * [backup-simplify]: Simplify y into y 2.846 * [taylor]: Taking taylor expansion of x in x 2.846 * [backup-simplify]: Simplify 0 into 0 2.846 * [backup-simplify]: Simplify 1 into 1 2.846 * [backup-simplify]: Simplify (/ y 1) into y 2.846 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.846 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 2.847 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 2.847 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.847 * [taylor]: Taking taylor expansion of 0.5 in x 2.847 * [backup-simplify]: Simplify 0.5 into 0.5 2.847 * [taylor]: Taking taylor expansion of (/ y x) in x 2.847 * [taylor]: Taking taylor expansion of y in x 2.847 * [backup-simplify]: Simplify y into y 2.847 * [taylor]: Taking taylor expansion of x in x 2.847 * [backup-simplify]: Simplify 0 into 0 2.847 * [backup-simplify]: Simplify 1 into 1 2.847 * [backup-simplify]: Simplify (/ y 1) into y 2.847 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.847 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 2.847 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 2.847 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.847 * [taylor]: Taking taylor expansion of 0.5 in y 2.847 * [backup-simplify]: Simplify 0.5 into 0.5 2.847 * [taylor]: Taking taylor expansion of (/ y x) in y 2.847 * [taylor]: Taking taylor expansion of y in y 2.847 * [backup-simplify]: Simplify 0 into 0 2.847 * [backup-simplify]: Simplify 1 into 1 2.847 * [taylor]: Taking taylor expansion of x in y 2.847 * [backup-simplify]: Simplify x into x 2.847 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.847 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.848 * [backup-simplify]: Simplify 1 into 1 2.848 * [taylor]: Taking taylor expansion of 0 in y 2.848 * [backup-simplify]: Simplify 0 into 0 2.848 * [backup-simplify]: Simplify 0 into 0 2.848 * [backup-simplify]: Simplify (+ 0) into 0 2.848 * [backup-simplify]: Simplify 0 into 0 2.848 * [taylor]: Taking taylor expansion of 0 in y 2.848 * [backup-simplify]: Simplify 0 into 0 2.848 * [backup-simplify]: Simplify 0 into 0 2.848 * [backup-simplify]: Simplify 0 into 0 2.849 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 2.849 * [backup-simplify]: Simplify (- (* 0.125 (/ 1 (pow x 2)))) into (- (* 0.125 (/ 1 (pow x 2)))) 2.849 * [taylor]: Taking taylor expansion of 0 in y 2.849 * [backup-simplify]: Simplify 0 into 0 2.849 * [backup-simplify]: Simplify 0 into 0 2.849 * [backup-simplify]: Simplify 0 into 0 2.849 * [backup-simplify]: Simplify 0 into 0 2.849 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.850 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 2.851 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.851 * [backup-simplify]: Simplify 0 into 0 2.851 * [taylor]: Taking taylor expansion of 0 in y 2.851 * [backup-simplify]: Simplify 0 into 0 2.851 * [backup-simplify]: Simplify 0 into 0 2.851 * [backup-simplify]: Simplify 0 into 0 2.852 * [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)))) 2.852 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.852 * [backup-simplify]: Simplify (/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))) into (/ 1 (cos (* 0.5 (/ x y)))) 2.852 * [approximate]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ x y)))) in (x y) around 0 2.852 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ x y)))) in y 2.852 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 2.852 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 2.852 * [taylor]: Taking taylor expansion of 0.5 in y 2.852 * [backup-simplify]: Simplify 0.5 into 0.5 2.852 * [taylor]: Taking taylor expansion of (/ x y) in y 2.853 * [taylor]: Taking taylor expansion of x in y 2.853 * [backup-simplify]: Simplify x into x 2.853 * [taylor]: Taking taylor expansion of y in y 2.853 * [backup-simplify]: Simplify 0 into 0 2.853 * [backup-simplify]: Simplify 1 into 1 2.853 * [backup-simplify]: Simplify (/ x 1) into x 2.853 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 2.853 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 2.853 * [backup-simplify]: Simplify (/ 1 (cos (* 0.5 (/ x y)))) into (/ 1 (cos (* 0.5 (/ x y)))) 2.853 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ x y)))) in x 2.853 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 2.853 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 2.853 * [taylor]: Taking taylor expansion of 0.5 in x 2.853 * [backup-simplify]: Simplify 0.5 into 0.5 2.853 * [taylor]: Taking taylor expansion of (/ x y) in x 2.853 * [taylor]: Taking taylor expansion of x in x 2.853 * [backup-simplify]: Simplify 0 into 0 2.853 * [backup-simplify]: Simplify 1 into 1 2.853 * [taylor]: Taking taylor expansion of y in x 2.853 * [backup-simplify]: Simplify y into y 2.853 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.853 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 2.854 * [backup-simplify]: Simplify (/ 1 1) into 1 2.854 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ x y)))) in x 2.854 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 2.854 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 2.854 * [taylor]: Taking taylor expansion of 0.5 in x 2.854 * [backup-simplify]: Simplify 0.5 into 0.5 2.854 * [taylor]: Taking taylor expansion of (/ x y) in x 2.854 * [taylor]: Taking taylor expansion of x in x 2.854 * [backup-simplify]: Simplify 0 into 0 2.854 * [backup-simplify]: Simplify 1 into 1 2.854 * [taylor]: Taking taylor expansion of y in x 2.854 * [backup-simplify]: Simplify y into y 2.854 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.855 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 2.855 * [backup-simplify]: Simplify (/ 1 1) into 1 2.855 * [taylor]: Taking taylor expansion of 1 in y 2.855 * [backup-simplify]: Simplify 1 into 1 2.855 * [backup-simplify]: Simplify 1 into 1 2.856 * [backup-simplify]: Simplify (+ 0) into 0 2.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.860 * [taylor]: Taking taylor expansion of 0 in y 2.860 * [backup-simplify]: Simplify 0 into 0 2.860 * [backup-simplify]: Simplify 0 into 0 2.860 * [backup-simplify]: Simplify 0 into 0 2.861 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 2.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (* 0.125 (/ 1 (pow y 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.125 (/ 1 (pow y 2))) 2.862 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow y 2))) in y 2.862 * [taylor]: Taking taylor expansion of 0.125 in y 2.862 * [backup-simplify]: Simplify 0.125 into 0.125 2.862 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.862 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.862 * [taylor]: Taking taylor expansion of y in y 2.862 * [backup-simplify]: Simplify 0 into 0 2.862 * [backup-simplify]: Simplify 1 into 1 2.862 * [backup-simplify]: Simplify (* 1 1) into 1 2.863 * [backup-simplify]: Simplify (/ 1 1) into 1 2.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.867 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (* 0 1))) into 0 2.867 * [backup-simplify]: Simplify 0 into 0 2.868 * [backup-simplify]: Simplify 0 into 0 2.868 * [backup-simplify]: Simplify 0 into 0 2.868 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 2.868 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 2.869 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow y 2)))) 1)) (* (* 0.125 (/ 1 (pow y 2))) (/ 0 1)))) into 0 2.871 * [taylor]: Taking taylor expansion of 0 in y 2.871 * [backup-simplify]: Simplify 0 into 0 2.871 * [backup-simplify]: Simplify 0 into 0 2.871 * [backup-simplify]: Simplify 1 into 1 2.872 * [backup-simplify]: Simplify (/ (/ (sin (/ (/ 1 x) (* (/ 1 y) 2.0))) (cos (/ (/ 1 x) (* (/ 1 y) 2.0)))) (sin (/ (/ 1 x) (* (/ 1 y) 2.0)))) into (/ 1 (cos (* 0.5 (/ y x)))) 2.872 * [approximate]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in (x y) around 0 2.872 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y 2.872 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 2.872 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.872 * [taylor]: Taking taylor expansion of 0.5 in y 2.872 * [backup-simplify]: Simplify 0.5 into 0.5 2.872 * [taylor]: Taking taylor expansion of (/ y x) in y 2.872 * [taylor]: Taking taylor expansion of y in y 2.872 * [backup-simplify]: Simplify 0 into 0 2.872 * [backup-simplify]: Simplify 1 into 1 2.872 * [taylor]: Taking taylor expansion of x in y 2.872 * [backup-simplify]: Simplify x into x 2.872 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.872 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.873 * [backup-simplify]: Simplify (/ 1 1) into 1 2.873 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in x 2.873 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 2.873 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.873 * [taylor]: Taking taylor expansion of 0.5 in x 2.873 * [backup-simplify]: Simplify 0.5 into 0.5 2.873 * [taylor]: Taking taylor expansion of (/ y x) in x 2.873 * [taylor]: Taking taylor expansion of y in x 2.873 * [backup-simplify]: Simplify y into y 2.873 * [taylor]: Taking taylor expansion of x in x 2.873 * [backup-simplify]: Simplify 0 into 0 2.873 * [backup-simplify]: Simplify 1 into 1 2.873 * [backup-simplify]: Simplify (/ y 1) into y 2.873 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.873 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 2.873 * [backup-simplify]: Simplify (/ 1 (cos (* 0.5 (/ y x)))) into (/ 1 (cos (* 0.5 (/ y x)))) 2.873 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in x 2.873 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 2.874 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.874 * [taylor]: Taking taylor expansion of 0.5 in x 2.874 * [backup-simplify]: Simplify 0.5 into 0.5 2.874 * [taylor]: Taking taylor expansion of (/ y x) in x 2.874 * [taylor]: Taking taylor expansion of y in x 2.874 * [backup-simplify]: Simplify y into y 2.874 * [taylor]: Taking taylor expansion of x in x 2.874 * [backup-simplify]: Simplify 0 into 0 2.874 * [backup-simplify]: Simplify 1 into 1 2.874 * [backup-simplify]: Simplify (/ y 1) into y 2.874 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.874 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 2.874 * [backup-simplify]: Simplify (/ 1 (cos (* 0.5 (/ y x)))) into (/ 1 (cos (* 0.5 (/ y x)))) 2.874 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y 2.874 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 2.874 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.874 * [taylor]: Taking taylor expansion of 0.5 in y 2.874 * [backup-simplify]: Simplify 0.5 into 0.5 2.874 * [taylor]: Taking taylor expansion of (/ y x) in y 2.874 * [taylor]: Taking taylor expansion of y in y 2.874 * [backup-simplify]: Simplify 0 into 0 2.874 * [backup-simplify]: Simplify 1 into 1 2.874 * [taylor]: Taking taylor expansion of x in y 2.874 * [backup-simplify]: Simplify x into x 2.875 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.875 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.875 * [backup-simplify]: Simplify (/ 1 1) into 1 2.875 * [backup-simplify]: Simplify 1 into 1 2.876 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0 2.876 * [taylor]: Taking taylor expansion of 0 in y 2.876 * [backup-simplify]: Simplify 0 into 0 2.876 * [backup-simplify]: Simplify 0 into 0 2.876 * [backup-simplify]: Simplify (+ 0) into 0 2.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.877 * [backup-simplify]: Simplify 0 into 0 2.878 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 2.878 * [taylor]: Taking taylor expansion of 0 in y 2.878 * [backup-simplify]: Simplify 0 into 0 2.878 * [backup-simplify]: Simplify 0 into 0 2.878 * [backup-simplify]: Simplify 0 into 0 2.879 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 2.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.125 (/ 1 (pow x 2))) 2.879 * [backup-simplify]: Simplify (* 0.125 (/ 1 (pow x 2))) into (/ 0.125 (pow x 2)) 2.880 * [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 2.880 * [taylor]: Taking taylor expansion of 0 in y 2.880 * [backup-simplify]: Simplify 0 into 0 2.880 * [backup-simplify]: Simplify 0 into 0 2.880 * [backup-simplify]: Simplify 0 into 0 2.880 * [backup-simplify]: Simplify 0 into 0 2.880 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.881 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 2.881 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.125 (/ 1 (pow x 2))) (/ 0 1)))) into 0 2.882 * [backup-simplify]: Simplify 0 into 0 2.883 * [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 2.883 * [taylor]: Taking taylor expansion of 0 in y 2.883 * [backup-simplify]: Simplify 0 into 0 2.883 * [backup-simplify]: Simplify 0 into 0 2.883 * [backup-simplify]: Simplify 0 into 0 2.883 * [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) 2.883 * [backup-simplify]: Simplify (/ (/ (sin (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) (cos (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0)))) (sin (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0)))) into (/ 1 (cos (* 0.5 (/ y x)))) 2.883 * [approximate]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in (x y) around 0 2.883 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y 2.883 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 2.883 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.883 * [taylor]: Taking taylor expansion of 0.5 in y 2.883 * [backup-simplify]: Simplify 0.5 into 0.5 2.884 * [taylor]: Taking taylor expansion of (/ y x) in y 2.884 * [taylor]: Taking taylor expansion of y in y 2.884 * [backup-simplify]: Simplify 0 into 0 2.884 * [backup-simplify]: Simplify 1 into 1 2.884 * [taylor]: Taking taylor expansion of x in y 2.884 * [backup-simplify]: Simplify x into x 2.884 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.884 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.884 * [backup-simplify]: Simplify (/ 1 1) into 1 2.884 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in x 2.884 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 2.884 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.884 * [taylor]: Taking taylor expansion of 0.5 in x 2.884 * [backup-simplify]: Simplify 0.5 into 0.5 2.884 * [taylor]: Taking taylor expansion of (/ y x) in x 2.884 * [taylor]: Taking taylor expansion of y in x 2.884 * [backup-simplify]: Simplify y into y 2.884 * [taylor]: Taking taylor expansion of x in x 2.885 * [backup-simplify]: Simplify 0 into 0 2.885 * [backup-simplify]: Simplify 1 into 1 2.885 * [backup-simplify]: Simplify (/ y 1) into y 2.885 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.885 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 2.885 * [backup-simplify]: Simplify (/ 1 (cos (* 0.5 (/ y x)))) into (/ 1 (cos (* 0.5 (/ y x)))) 2.885 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in x 2.885 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 2.885 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.885 * [taylor]: Taking taylor expansion of 0.5 in x 2.885 * [backup-simplify]: Simplify 0.5 into 0.5 2.885 * [taylor]: Taking taylor expansion of (/ y x) in x 2.885 * [taylor]: Taking taylor expansion of y in x 2.885 * [backup-simplify]: Simplify y into y 2.885 * [taylor]: Taking taylor expansion of x in x 2.885 * [backup-simplify]: Simplify 0 into 0 2.885 * [backup-simplify]: Simplify 1 into 1 2.885 * [backup-simplify]: Simplify (/ y 1) into y 2.886 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.886 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 2.886 * [backup-simplify]: Simplify (/ 1 (cos (* 0.5 (/ y x)))) into (/ 1 (cos (* 0.5 (/ y x)))) 2.886 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y 2.886 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 2.886 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.886 * [taylor]: Taking taylor expansion of 0.5 in y 2.886 * [backup-simplify]: Simplify 0.5 into 0.5 2.886 * [taylor]: Taking taylor expansion of (/ y x) in y 2.886 * [taylor]: Taking taylor expansion of y in y 2.886 * [backup-simplify]: Simplify 0 into 0 2.886 * [backup-simplify]: Simplify 1 into 1 2.886 * [taylor]: Taking taylor expansion of x in y 2.886 * [backup-simplify]: Simplify x into x 2.886 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.886 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.887 * [backup-simplify]: Simplify (/ 1 1) into 1 2.887 * [backup-simplify]: Simplify 1 into 1 2.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0 2.888 * [taylor]: Taking taylor expansion of 0 in y 2.888 * [backup-simplify]: Simplify 0 into 0 2.888 * [backup-simplify]: Simplify 0 into 0 2.888 * [backup-simplify]: Simplify (+ 0) into 0 2.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.889 * [backup-simplify]: Simplify 0 into 0 2.890 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 2.890 * [taylor]: Taking taylor expansion of 0 in y 2.890 * [backup-simplify]: Simplify 0 into 0 2.890 * [backup-simplify]: Simplify 0 into 0 2.890 * [backup-simplify]: Simplify 0 into 0 2.890 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 2.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.125 (/ 1 (pow x 2))) 2.891 * [backup-simplify]: Simplify (* 0.125 (/ 1 (pow x 2))) into (/ 0.125 (pow x 2)) 2.892 * [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 2.892 * [taylor]: Taking taylor expansion of 0 in y 2.892 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.893 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 2.894 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.125 (/ 1 (pow x 2))) (/ 0 1)))) into 0 2.896 * [backup-simplify]: Simplify 0 into 0 2.896 * [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 2.896 * [taylor]: Taking taylor expansion of 0 in y 2.897 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify 0 into 0 2.897 * [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) 2.897 * * * [progress]: simplifying candidates 2.900 * [simplify]: Simplifying: (expm1 (sin (/ x (* y 2.0)))) (log1p (sin (/ 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)))) (expm1 (sin (/ x (* y 2.0)))) (log1p (sin (/ 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)))) (expm1 (cos (/ x (* y 2.0)))) (log1p (cos (/ x (* y 2.0)))) (log (cos (/ x (* y 2.0)))) (exp (cos (/ x (* y 2.0)))) (* (cbrt (cos (/ x (* y 2.0)))) (cbrt (cos (/ x (* y 2.0))))) (cbrt (cos (/ x (* y 2.0)))) (* (* (cos (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (cos (/ x (* y 2.0)))) (sqrt (cos (/ x (* y 2.0)))) (sqrt (cos (/ x (* y 2.0)))) (expm1 (/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))) (log1p (/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))) (- (- (log (sin (/ x (* y 2.0)))) (log (cos (/ x (* y 2.0))))) (log (sin (/ x (* y 2.0))))) (- (log (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))))) (log (sin (/ x (* y 2.0))))) (log (/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))) (exp (/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))) (/ (/ (* (* (sin (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))) (* (* (cos (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (cos (/ x (* y 2.0))))) (* (* (sin (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))) (/ (* (* (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))))) (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))))) (* (* (sin (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))) (* (cbrt (/ (/ (sin (/ x (* y 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x (* y 2.0))))) (cbrt (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))) (sqrt (sin (/ x (* y 2.0))))) (/ (cbrt (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))))) (sqrt (sin (/ x (* y 2.0))))) (/ (* (cbrt (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))))) (cbrt (/ (sin (/ x (* y 2.0))) (cos (/ 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))) (cos (/ x (* y 2.0))))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (sqrt (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))))) (cbrt (sin (/ x (* y 2.0))))) (/ (sqrt (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))))) (sqrt (sin (/ x (* y 2.0))))) (/ (sqrt (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))))) (sqrt (sin (/ x (* y 2.0))))) (/ (sqrt (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))))) 1) (/ (sqrt (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))))) (sin (/ x (* y 2.0)))) (/ (/ (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (* (cbrt (cos 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(sin (/ x (* y 2.0))))) (/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) 1) (/ (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 (sin (/ x (* y 2.0)))) (cbrt (cos (/ x (* y 2.0)))))) (/ (sin (/ x (* y 2.0))) (/ (cbrt (sin (/ x (* y 2.0)))) (sqrt (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)))) (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))) (/ (sqrt (sin (/ x (* y 2.0)))) (cos (/ x (* y 2.0))))) (/ (sin (/ x (* y 2.0))) (/ (sin (/ x (* y 2.0))) (cbrt (cos (/ x (* y 2.0)))))) (/ (sin (/ x (* y 2.0))) (/ (sin (/ x (* y 2.0))) (sqrt (cos (/ x (* y 2.0)))))) (/ (sin (/ x (* y 2.0))) (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))))) (/ (sin (/ x (* y 2.0))) (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))))) (/ (sin (/ x (* y 2.0))) (/ 1 (cos (/ x (* y 2.0))))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) 0 (* 0.5 (/ x y)) (* 0.5 (/ x y)) 0 (* 0.5 (/ x y)) (* 0.5 (/ x y)) 1 (- 1 (* 0.125 (/ (pow x 2) (pow y 2)))) (- 1 (* 0.125 (/ (pow x 2) (pow y 2)))) 1 (+ (* 0.125 (/ (pow x 2) (pow y 2))) 1) (+ (* 0.125 (/ (pow x 2) (pow y 2))) 1) 2.905 * * [simplify]: iteration 0: 167 enodes 2.956 * * [simplify]: iteration 1: 390 enodes 3.063 * * [simplify]: iteration 2: 1199 enodes 5.040 * * [simplify]: iteration 3: 4484 enodes 6.591 * * [simplify]: iteration complete: 5011 enodes 6.592 * * [simplify]: Extracting #0: cost 100 inf + 0 6.594 * * [simplify]: Extracting #1: cost 694 inf + 2 6.606 * * [simplify]: Extracting #2: cost 1259 inf + 4501 6.622 * * [simplify]: Extracting #3: cost 1153 inf + 43162 6.673 * * [simplify]: Extracting #4: cost 379 inf + 279237 6.791 * * [simplify]: Extracting #5: cost 22 inf + 402724 6.894 * * [simplify]: Extracting #6: cost 0 inf + 411616 6.997 * [simplify]: Simplified to: (expm1 (sin (/ (/ x y) 2.0))) (log1p (sin (/ (/ 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))) (expm1 (sin (/ (/ x y) 2.0))) (log1p (sin (/ (/ 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))) (expm1 (cos (/ (/ x y) 2.0))) (log1p (cos (/ (/ x y) 2.0))) (log (cos (/ (/ x y) 2.0))) (exp (cos (/ (/ x y) 2.0))) (* (cbrt (cos (/ (/ x y) 2.0))) (cbrt (cos (/ (/ x y) 2.0)))) (cbrt (cos (/ (/ x y) 2.0))) (* (cos (/ (/ x y) 2.0)) (* (cos (/ (/ x y) 2.0)) (cos (/ (/ x y) 2.0)))) (sqrt (cos (/ (/ x y) 2.0))) (sqrt (cos (/ (/ x y) 2.0))) (expm1 (/ 1 (cos (/ (/ x y) 2.0)))) (log1p (/ 1 (cos (/ (/ x y) 2.0)))) (- (log (cos (/ (/ x y) 2.0)))) (- (log (cos (/ (/ x y) 2.0)))) (- (log (cos (/ (/ x y) 2.0)))) (exp (/ 1 (cos (/ (/ x y) 2.0)))) (/ 1 (* (cos (/ (/ x y) 2.0)) (* (cos (/ (/ x y) 2.0)) (cos (/ (/ x y) 2.0))))) (/ 1 (* (cos (/ (/ x y) 2.0)) (* (cos (/ (/ x y) 2.0)) (cos (/ (/ x y) 2.0))))) (* (cbrt (/ 1 (cos (/ (/ x y) 2.0)))) (cbrt (/ 1 (cos (/ (/ x y) 2.0))))) (cbrt (/ 1 (cos (/ (/ x y) 2.0)))) (/ 1 (* (cos (/ (/ x y) 2.0)) (* (cos (/ (/ x y) 2.0)) (cos (/ (/ x y) 2.0))))) (sqrt (/ 1 (cos (/ (/ x y) 2.0)))) (sqrt (/ 1 (cos (/ (/ 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)))) (cbrt (sin (/ (/ x y) 2.0)))) (/ (cbrt (/ (sin (/ (/ x y) 2.0)) (cos (/ (/ x y) 2.0)))) (cbrt (sin (/ (/ x y) 2.0))))) (/ (cbrt (/ (sin (/ (/ x y) 2.0)) (cos (/ (/ x y) 2.0)))) (cbrt (sin (/ (/ x y) 2.0)))) (/ (* (cbrt (/ (sin (/ (/ x y) 2.0)) (cos (/ (/ x y) 2.0)))) (cbrt (/ (sin (/ (/ x y) 2.0)) (cos (/ (/ x y) 2.0))))) (sqrt (sin (/ (/ x y) 2.0)))) (/ (cbrt (/ (sin (/ (/ x y) 2.0)) (cos (/ (/ x y) 2.0)))) (sqrt (sin (/ (/ x y) 2.0)))) (* (cbrt (/ (sin (/ (/ x y) 2.0)) (cos (/ (/ x y) 2.0)))) (cbrt (/ (sin (/ (/ x y) 2.0)) (cos (/ (/ 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)))) (* (cbrt (sin (/ (/ x y) 2.0))) (cbrt (sin (/ (/ x y) 2.0))))) (/ (sqrt (/ (sin (/ (/ x y) 2.0)) (cos (/ (/ x y) 2.0)))) (cbrt (sin (/ (/ x y) 2.0)))) (/ (sqrt (/ (sin (/ (/ x y) 2.0)) (cos (/ (/ x y) 2.0)))) (sqrt (sin (/ (/ x y) 2.0)))) (/ (sqrt (/ (sin (/ (/ x y) 2.0)) (cos (/ (/ x y) 2.0)))) (sqrt (sin (/ (/ x y) 2.0)))) (sqrt (/ (sin (/ (/ x y) 2.0)) (cos (/ (/ x y) 2.0)))) (/ (sqrt (/ (sin (/ (/ x y) 2.0)) (cos (/ (/ x y) 2.0)))) (sin (/ (/ x y) 2.0))) (* (/ 1 (cbrt (cos (/ (/ x y) 2.0)))) (/ 1 (cbrt (cos (/ (/ x y) 2.0))))) (/ 1 (cbrt (cos (/ (/ x y) 2.0)))) (/ (* (/ (cbrt (sin (/ (/ x y) 2.0))) (cbrt (cos (/ (/ x y) 2.0)))) (/ (cbrt (sin (/ (/ x y) 2.0))) (cbrt (cos (/ (/ x y) 2.0))))) (sqrt (sin (/ (/ x y) 2.0)))) (/ (/ (cbrt (sin (/ (/ x y) 2.0))) (cbrt (cos (/ (/ x y) 2.0)))) (sqrt (sin (/ (/ x y) 2.0)))) (* (/ (cbrt (sin (/ (/ x y) 2.0))) (cbrt (cos (/ (/ x y) 2.0)))) (/ (cbrt (sin (/ (/ x y) 2.0))) (cbrt (cos (/ (/ x y) 2.0))))) (/ (/ (cbrt (sin (/ (/ x y) 2.0))) (cbrt (cos (/ (/ x y) 2.0)))) (sin (/ (/ x y) 2.0))) (/ 1 (sqrt (cos (/ (/ x y) 2.0)))) (/ 1 (sqrt (cos (/ (/ x y) 2.0)))) (/ (* (/ (cbrt (sin (/ (/ x y) 2.0))) (sqrt (sin (/ (/ x y) 2.0)))) (cbrt (sin (/ (/ x y) 2.0)))) (sqrt (cos (/ (/ x y) 2.0)))) (/ (/ (cbrt (sin (/ (/ x y) 2.0))) (sqrt (cos (/ (/ x y) 2.0)))) (sqrt (sin (/ (/ x y) 2.0)))) (/ (cbrt (sin (/ (/ x y) 2.0))) (/ (sqrt (cos (/ (/ x y) 2.0))) (cbrt (sin (/ (/ x y) 2.0))))) (/ (/ (cbrt (sin (/ (/ x y) 2.0))) (sin (/ (/ x y) 2.0))) (sqrt (cos (/ (/ x y) 2.0)))) 1 (/ 1 (cos (/ (/ x y) 2.0))) (/ (cbrt (sin (/ (/ x y) 2.0))) (/ (sqrt (sin (/ (/ x y) 2.0))) (cbrt (sin (/ (/ x y) 2.0))))) (/ (cbrt (sin (/ (/ x y) 2.0))) (* (sqrt (sin (/ (/ x y) 2.0))) (cos (/ (/ 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)) (cos (/ (/ x y) 2.0)))) (/ (sqrt (sin (/ (/ x y) 2.0))) (* (* (cbrt (cos (/ (/ x y) 2.0))) (cbrt (sin (/ (/ x y) 2.0)))) (* (cbrt (cos (/ (/ x y) 2.0))) (cbrt (sin (/ (/ x y) 2.0)))))) (/ (sqrt (sin (/ (/ x y) 2.0))) (* (cbrt (cos (/ (/ x y) 2.0))) (cbrt (sin (/ (/ x y) 2.0))))) (* (/ 1 (cbrt (cos (/ (/ x y) 2.0)))) (/ 1 (cbrt (cos (/ (/ x y) 2.0))))) (/ 1 (cbrt (cos (/ (/ x y) 2.0)))) (/ (/ (sqrt (sin (/ (/ x y) 2.0))) (cbrt (cos (/ (/ x y) 2.0)))) (cbrt (cos (/ (/ 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)))) (* (cbrt (sin (/ (/ x y) 2.0))) (cbrt (sin (/ (/ x y) 2.0))))) (/ (/ (sqrt (sin (/ (/ x y) 2.0))) (sqrt (cos (/ (/ x y) 2.0)))) (cbrt (sin (/ (/ x y) 2.0)))) (/ 1 (sqrt (cos (/ (/ x y) 2.0)))) (/ 1 (sqrt (cos (/ (/ x y) 2.0)))) (/ (sqrt (sin (/ (/ x y) 2.0))) (sqrt (cos (/ (/ x y) 2.0)))) (/ (/ (sqrt (sin (/ (/ x y) 2.0))) (sin (/ (/ x y) 2.0))) (sqrt (cos (/ (/ x y) 2.0)))) (/ (sqrt (sin (/ (/ x y) 2.0))) (* (cbrt (sin (/ (/ x y) 2.0))) (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))) (* (sin (/ (/ x y) 2.0)) (cos (/ (/ x y) 2.0)))) (/ (/ 1 (* (cbrt (cos (/ (/ x y) 2.0))) (cbrt (sin (/ (/ x y) 2.0))))) (* (cbrt (cos (/ (/ x y) 2.0))) (cbrt (sin (/ (/ x y) 2.0))))) (/ (/ (sin (/ (/ x y) 2.0)) (cbrt (cos (/ (/ x y) 2.0)))) (cbrt (sin (/ (/ x y) 2.0)))) (/ (* (/ 1 (cbrt (cos (/ (/ x y) 2.0)))) (/ 1 (cbrt (cos (/ (/ x y) 2.0))))) (sqrt (sin (/ (/ x y) 2.0)))) (/ (/ (sin (/ (/ x y) 2.0)) (sqrt (sin (/ (/ x y) 2.0)))) (cbrt (cos (/ (/ x y) 2.0)))) (* (/ 1 (cbrt (cos (/ (/ x y) 2.0)))) (/ 1 (cbrt (cos (/ (/ x y) 2.0))))) (/ 1 (cbrt (cos (/ (/ x y) 2.0)))) (/ (/ 1 (* (sqrt (cos (/ (/ x y) 2.0))) (cbrt (sin (/ (/ 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)) (* (cos (/ (/ x y) 2.0)) (cbrt (sin (/ (/ 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)) (* (cos (/ (/ x y) 2.0)) (cbrt (sin (/ (/ 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 (* (cos (/ (/ x y) 2.0)) (cbrt (sin (/ (/ x y) 2.0))))) (/ (sin (/ (/ x y) 2.0)) (sqrt (sin (/ (/ x y) 2.0)))) (/ (/ 1 (sqrt (sin (/ (/ x y) 2.0)))) (cos (/ (/ 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)) (cbrt (sin (/ (/ x y) 2.0)))) (cos (/ (/ 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 (sin (/ (/ x y) 2.0)))) (cbrt (cos (/ (/ x y) 2.0)))) (/ (sin (/ (/ x y) 2.0)) (/ (cbrt (sin (/ (/ x y) 2.0))) (sqrt (cos (/ (/ x y) 2.0))))) (* (/ (sin (/ (/ x y) 2.0)) (cbrt (sin (/ (/ x y) 2.0)))) (cos (/ (/ 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)) (sqrt (sin (/ (/ x y) 2.0))))) (* (/ (sin (/ (/ x y) 2.0)) (sqrt (sin (/ (/ x y) 2.0)))) (cos (/ (/ 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 (* (* (/ x y) (/ x y)) 0.125)) (- 1 (* (* (/ x y) (/ x y)) 0.125)) 1 (fma 0.125 (* (/ x y) (/ x y)) 1) (fma 0.125 (* (/ x y) (/ x y)) 1) 7.008 * * * [progress]: adding candidates to table 7.714 * * [progress]: iteration 4 / 4 7.714 * * * [progress]: picking best candidate 7.864 * * * * [pick]: Picked # 7.864 * * * [progress]: localizing error 7.914 * * * [progress]: generating rewritten candidates 7.914 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 7.924 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 7.925 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 7.925 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 7.930 * * * [progress]: generating series expansions 7.930 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 7.930 * [backup-simplify]: Simplify (cos (/ (/ x y) 2.0)) into (cos (* 0.5 (/ x y))) 7.930 * [approximate]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in (x y) around 0 7.931 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 7.931 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 7.931 * [taylor]: Taking taylor expansion of 0.5 in y 7.931 * [backup-simplify]: Simplify 0.5 into 0.5 7.931 * [taylor]: Taking taylor expansion of (/ x y) in y 7.931 * [taylor]: Taking taylor expansion of x in y 7.931 * [backup-simplify]: Simplify x into x 7.931 * [taylor]: Taking taylor expansion of y in y 7.931 * [backup-simplify]: Simplify 0 into 0 7.931 * [backup-simplify]: Simplify 1 into 1 7.931 * [backup-simplify]: Simplify (/ x 1) into x 7.931 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 7.931 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 7.931 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 7.931 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 7.931 * [taylor]: Taking taylor expansion of 0.5 in x 7.931 * [backup-simplify]: Simplify 0.5 into 0.5 7.931 * [taylor]: Taking taylor expansion of (/ x y) in x 7.931 * [taylor]: Taking taylor expansion of x in x 7.931 * [backup-simplify]: Simplify 0 into 0 7.931 * [backup-simplify]: Simplify 1 into 1 7.931 * [taylor]: Taking taylor expansion of y in x 7.931 * [backup-simplify]: Simplify y into y 7.931 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.931 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 7.931 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 7.931 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 7.931 * [taylor]: Taking taylor expansion of 0.5 in x 7.931 * [backup-simplify]: Simplify 0.5 into 0.5 7.931 * [taylor]: Taking taylor expansion of (/ x y) in x 7.931 * [taylor]: Taking taylor expansion of x in x 7.931 * [backup-simplify]: Simplify 0 into 0 7.931 * [backup-simplify]: Simplify 1 into 1 7.931 * [taylor]: Taking taylor expansion of y in x 7.931 * [backup-simplify]: Simplify y into y 7.931 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.931 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 7.931 * [taylor]: Taking taylor expansion of 1 in y 7.931 * [backup-simplify]: Simplify 1 into 1 7.931 * [backup-simplify]: Simplify 1 into 1 7.932 * [backup-simplify]: Simplify (+ 0) into 0 7.932 * [taylor]: Taking taylor expansion of 0 in y 7.932 * [backup-simplify]: Simplify 0 into 0 7.932 * [backup-simplify]: Simplify 0 into 0 7.932 * [backup-simplify]: Simplify 0 into 0 7.932 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 7.932 * [taylor]: Taking taylor expansion of (- (* 0.125 (/ 1 (pow y 2)))) in y 7.932 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow y 2))) in y 7.932 * [taylor]: Taking taylor expansion of 0.125 in y 7.932 * [backup-simplify]: Simplify 0.125 into 0.125 7.932 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.932 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.932 * [taylor]: Taking taylor expansion of y in y 7.932 * [backup-simplify]: Simplify 0 into 0 7.932 * [backup-simplify]: Simplify 1 into 1 7.933 * [backup-simplify]: Simplify (* 1 1) into 1 7.933 * [backup-simplify]: Simplify (/ 1 1) into 1 7.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.936 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (* 0 1))) into 0 7.936 * [backup-simplify]: Simplify (- 0) into 0 7.936 * [backup-simplify]: Simplify 0 into 0 7.936 * [backup-simplify]: Simplify 0 into 0 7.936 * [backup-simplify]: Simplify 0 into 0 7.936 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 7.937 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 7.937 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.937 * [taylor]: Taking taylor expansion of 0 in y 7.937 * [backup-simplify]: Simplify 0 into 0 7.937 * [backup-simplify]: Simplify 0 into 0 7.937 * [backup-simplify]: Simplify 1 into 1 7.937 * [backup-simplify]: Simplify (cos (/ (/ (/ 1 x) (/ 1 y)) 2.0)) into (cos (* 0.5 (/ y x))) 7.937 * [approximate]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in (x y) around 0 7.937 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 7.937 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 7.937 * [taylor]: Taking taylor expansion of 0.5 in y 7.937 * [backup-simplify]: Simplify 0.5 into 0.5 7.938 * [taylor]: Taking taylor expansion of (/ y x) in y 7.938 * [taylor]: Taking taylor expansion of y in y 7.938 * [backup-simplify]: Simplify 0 into 0 7.938 * [backup-simplify]: Simplify 1 into 1 7.938 * [taylor]: Taking taylor expansion of x in y 7.938 * [backup-simplify]: Simplify x into x 7.938 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.938 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 7.938 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 7.938 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 7.938 * [taylor]: Taking taylor expansion of 0.5 in x 7.938 * [backup-simplify]: Simplify 0.5 into 0.5 7.938 * [taylor]: Taking taylor expansion of (/ y x) in x 7.938 * [taylor]: Taking taylor expansion of y in x 7.938 * [backup-simplify]: Simplify y into y 7.938 * [taylor]: Taking taylor expansion of x in x 7.938 * [backup-simplify]: Simplify 0 into 0 7.938 * [backup-simplify]: Simplify 1 into 1 7.938 * [backup-simplify]: Simplify (/ y 1) into y 7.938 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 7.938 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 7.938 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 7.938 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 7.938 * [taylor]: Taking taylor expansion of 0.5 in x 7.938 * [backup-simplify]: Simplify 0.5 into 0.5 7.938 * [taylor]: Taking taylor expansion of (/ y x) in x 7.938 * [taylor]: Taking taylor expansion of y in x 7.938 * [backup-simplify]: Simplify y into y 7.938 * [taylor]: Taking taylor expansion of x in x 7.938 * [backup-simplify]: Simplify 0 into 0 7.938 * [backup-simplify]: Simplify 1 into 1 7.938 * [backup-simplify]: Simplify (/ y 1) into y 7.938 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 7.938 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 7.938 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 7.938 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 7.938 * [taylor]: Taking taylor expansion of 0.5 in y 7.938 * [backup-simplify]: Simplify 0.5 into 0.5 7.938 * [taylor]: Taking taylor expansion of (/ y x) in y 7.938 * [taylor]: Taking taylor expansion of y in y 7.938 * [backup-simplify]: Simplify 0 into 0 7.938 * [backup-simplify]: Simplify 1 into 1 7.938 * [taylor]: Taking taylor expansion of x in y 7.938 * [backup-simplify]: Simplify x into x 7.938 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.938 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 7.939 * [backup-simplify]: Simplify 1 into 1 7.939 * [taylor]: Taking taylor expansion of 0 in y 7.939 * [backup-simplify]: Simplify 0 into 0 7.939 * [backup-simplify]: Simplify 0 into 0 7.939 * [backup-simplify]: Simplify (+ 0) into 0 7.939 * [backup-simplify]: Simplify 0 into 0 7.939 * [taylor]: Taking taylor expansion of 0 in y 7.939 * [backup-simplify]: Simplify 0 into 0 7.939 * [backup-simplify]: Simplify 0 into 0 7.939 * [backup-simplify]: Simplify 0 into 0 7.939 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 7.940 * [backup-simplify]: Simplify (- (* 0.125 (/ 1 (pow x 2)))) into (- (* 0.125 (/ 1 (pow x 2)))) 7.940 * [taylor]: Taking taylor expansion of 0 in y 7.940 * [backup-simplify]: Simplify 0 into 0 7.940 * [backup-simplify]: Simplify 0 into 0 7.940 * [backup-simplify]: Simplify 0 into 0 7.940 * [backup-simplify]: Simplify 0 into 0 7.940 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 7.940 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 7.941 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.941 * [backup-simplify]: Simplify 0 into 0 7.941 * [taylor]: Taking taylor expansion of 0 in y 7.941 * [backup-simplify]: Simplify 0 into 0 7.941 * [backup-simplify]: Simplify 0 into 0 7.941 * [backup-simplify]: Simplify 0 into 0 7.941 * [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)))) 7.941 * [backup-simplify]: Simplify (cos (/ (/ (/ 1 (- x)) (/ 1 (- y))) 2.0)) into (cos (* 0.5 (/ y x))) 7.941 * [approximate]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in (x y) around 0 7.941 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 7.941 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 7.941 * [taylor]: Taking taylor expansion of 0.5 in y 7.941 * [backup-simplify]: Simplify 0.5 into 0.5 7.941 * [taylor]: Taking taylor expansion of (/ y x) in y 7.942 * [taylor]: Taking taylor expansion of y in y 7.942 * [backup-simplify]: Simplify 0 into 0 7.942 * [backup-simplify]: Simplify 1 into 1 7.942 * [taylor]: Taking taylor expansion of x in y 7.942 * [backup-simplify]: Simplify x into x 7.942 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.942 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 7.942 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 7.942 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 7.942 * [taylor]: Taking taylor expansion of 0.5 in x 7.942 * [backup-simplify]: Simplify 0.5 into 0.5 7.942 * [taylor]: Taking taylor expansion of (/ y x) in x 7.942 * [taylor]: Taking taylor expansion of y in x 7.942 * [backup-simplify]: Simplify y into y 7.942 * [taylor]: Taking taylor expansion of x in x 7.942 * [backup-simplify]: Simplify 0 into 0 7.942 * [backup-simplify]: Simplify 1 into 1 7.942 * [backup-simplify]: Simplify (/ y 1) into y 7.942 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 7.942 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 7.942 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 7.942 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 7.942 * [taylor]: Taking taylor expansion of 0.5 in x 7.942 * [backup-simplify]: Simplify 0.5 into 0.5 7.942 * [taylor]: Taking taylor expansion of (/ y x) in x 7.942 * [taylor]: Taking taylor expansion of y in x 7.942 * [backup-simplify]: Simplify y into y 7.942 * [taylor]: Taking taylor expansion of x in x 7.942 * [backup-simplify]: Simplify 0 into 0 7.942 * [backup-simplify]: Simplify 1 into 1 7.942 * [backup-simplify]: Simplify (/ y 1) into y 7.942 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 7.942 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 7.942 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 7.942 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 7.942 * [taylor]: Taking taylor expansion of 0.5 in y 7.942 * [backup-simplify]: Simplify 0.5 into 0.5 7.942 * [taylor]: Taking taylor expansion of (/ y x) in y 7.942 * [taylor]: Taking taylor expansion of y in y 7.942 * [backup-simplify]: Simplify 0 into 0 7.942 * [backup-simplify]: Simplify 1 into 1 7.942 * [taylor]: Taking taylor expansion of x in y 7.942 * [backup-simplify]: Simplify x into x 7.942 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.942 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 7.942 * [backup-simplify]: Simplify 1 into 1 7.943 * [taylor]: Taking taylor expansion of 0 in y 7.943 * [backup-simplify]: Simplify 0 into 0 7.943 * [backup-simplify]: Simplify 0 into 0 7.943 * [backup-simplify]: Simplify (+ 0) into 0 7.943 * [backup-simplify]: Simplify 0 into 0 7.943 * [taylor]: Taking taylor expansion of 0 in y 7.943 * [backup-simplify]: Simplify 0 into 0 7.943 * [backup-simplify]: Simplify 0 into 0 7.943 * [backup-simplify]: Simplify 0 into 0 7.943 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 7.944 * [backup-simplify]: Simplify (- (* 0.125 (/ 1 (pow x 2)))) into (- (* 0.125 (/ 1 (pow x 2)))) 7.944 * [taylor]: Taking taylor expansion of 0 in y 7.944 * [backup-simplify]: Simplify 0 into 0 7.944 * [backup-simplify]: Simplify 0 into 0 7.944 * [backup-simplify]: Simplify 0 into 0 7.944 * [backup-simplify]: Simplify 0 into 0 7.944 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 7.944 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 7.945 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.945 * [backup-simplify]: Simplify 0 into 0 7.945 * [taylor]: Taking taylor expansion of 0 in y 7.945 * [backup-simplify]: Simplify 0 into 0 7.945 * [backup-simplify]: Simplify 0 into 0 7.945 * [backup-simplify]: Simplify 0 into 0 7.945 * [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)))) 7.945 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 7.945 * [backup-simplify]: Simplify (expm1 (/ 1 (cos (/ (/ x y) 2.0)))) into (expm1 (/ 1 (cos (* 0.5 (/ x y))))) 7.945 * [approximate]: Taking taylor expansion of (expm1 (/ 1 (cos (* 0.5 (/ x y))))) in (x y) around 0 7.945 * [taylor]: Taking taylor expansion of (expm1 (/ 1 (cos (* 0.5 (/ x y))))) in y 7.946 * [taylor]: Rewrote expression to (- (exp (/ 1 (cos (* 0.5 (/ x y))))) 1) 7.946 * [taylor]: Taking taylor expansion of (exp (/ 1 (cos (* 0.5 (/ x y))))) in y 7.946 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ x y)))) in y 7.946 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 7.946 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 7.946 * [taylor]: Taking taylor expansion of 0.5 in y 7.946 * [backup-simplify]: Simplify 0.5 into 0.5 7.946 * [taylor]: Taking taylor expansion of (/ x y) in y 7.946 * [taylor]: Taking taylor expansion of x in y 7.946 * [backup-simplify]: Simplify x into x 7.946 * [taylor]: Taking taylor expansion of y in y 7.946 * [backup-simplify]: Simplify 0 into 0 7.946 * [backup-simplify]: Simplify 1 into 1 7.946 * [backup-simplify]: Simplify (/ x 1) into x 7.946 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 7.946 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 7.946 * [backup-simplify]: Simplify (/ 1 (cos (* 0.5 (/ x y)))) into (/ 1 (cos (* 0.5 (/ x y)))) 7.946 * [backup-simplify]: Simplify (exp (/ 1 (cos (* 0.5 (/ x y))))) into (exp (/ 1 (cos (* 0.5 (/ x y))))) 7.946 * [taylor]: Taking taylor expansion of 1 in y 7.946 * [backup-simplify]: Simplify 1 into 1 7.946 * [taylor]: Taking taylor expansion of (expm1 (/ 1 (cos (* 0.5 (/ x y))))) in x 7.946 * [taylor]: Rewrote expression to (- (exp (/ 1 (cos (* 0.5 (/ x y))))) 1) 7.946 * [taylor]: Taking taylor expansion of (exp (/ 1 (cos (* 0.5 (/ x y))))) in x 7.946 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ x y)))) in x 7.946 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 7.946 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 7.946 * [taylor]: Taking taylor expansion of 0.5 in x 7.946 * [backup-simplify]: Simplify 0.5 into 0.5 7.946 * [taylor]: Taking taylor expansion of (/ x y) in x 7.946 * [taylor]: Taking taylor expansion of x in x 7.946 * [backup-simplify]: Simplify 0 into 0 7.946 * [backup-simplify]: Simplify 1 into 1 7.946 * [taylor]: Taking taylor expansion of y in x 7.946 * [backup-simplify]: Simplify y into y 7.946 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.946 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 7.947 * [backup-simplify]: Simplify (/ 1 1) into 1 7.947 * [backup-simplify]: Simplify (exp 1) into E 7.947 * [taylor]: Taking taylor expansion of 1 in x 7.947 * [backup-simplify]: Simplify 1 into 1 7.947 * [taylor]: Taking taylor expansion of (expm1 (/ 1 (cos (* 0.5 (/ x y))))) in x 7.947 * [taylor]: Rewrote expression to (- (exp (/ 1 (cos (* 0.5 (/ x y))))) 1) 7.947 * [taylor]: Taking taylor expansion of (exp (/ 1 (cos (* 0.5 (/ x y))))) in x 7.947 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ x y)))) in x 7.947 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 7.947 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 7.947 * [taylor]: Taking taylor expansion of 0.5 in x 7.947 * [backup-simplify]: Simplify 0.5 into 0.5 7.947 * [taylor]: Taking taylor expansion of (/ x y) in x 7.947 * [taylor]: Taking taylor expansion of x in x 7.947 * [backup-simplify]: Simplify 0 into 0 7.947 * [backup-simplify]: Simplify 1 into 1 7.947 * [taylor]: Taking taylor expansion of y in x 7.947 * [backup-simplify]: Simplify y into y 7.947 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.947 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 7.948 * [backup-simplify]: Simplify (/ 1 1) into 1 7.948 * [backup-simplify]: Simplify (exp 1) into E 7.948 * [taylor]: Taking taylor expansion of 1 in x 7.948 * [backup-simplify]: Simplify 1 into 1 7.948 * [backup-simplify]: Simplify (- 1) into -1 7.948 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 7.948 * [taylor]: Taking taylor expansion of (- E 1) in y 7.948 * [taylor]: Taking taylor expansion of E in y 7.948 * [backup-simplify]: Simplify E into E 7.949 * [taylor]: Taking taylor expansion of 1 in y 7.949 * [backup-simplify]: Simplify 1 into 1 7.949 * [backup-simplify]: Simplify (- 1) into -1 7.949 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 7.949 * [backup-simplify]: Simplify (- E 1) into (- E 1) 7.950 * [backup-simplify]: Simplify (+ 0) into 0 7.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.951 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow 0 1) 1)))) into 0 7.951 * [backup-simplify]: Simplify (- 0) into 0 7.951 * [backup-simplify]: Simplify (+ 0 0) into 0 7.951 * [taylor]: Taking taylor expansion of 0 in y 7.951 * [backup-simplify]: Simplify 0 into 0 7.951 * [backup-simplify]: Simplify 0 into 0 7.952 * [backup-simplify]: Simplify (- 0) into 0 7.952 * [backup-simplify]: Simplify (+ 0 0) into 0 7.952 * [backup-simplify]: Simplify 0 into 0 7.952 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 7.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (* 0.125 (/ 1 (pow y 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.125 (/ 1 (pow y 2))) 7.954 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 0.125 (/ 1 (pow y 2))) 1) 1)))) into (* 0.125 (/ E (pow y 2))) 7.954 * [backup-simplify]: Simplify (- 0) into 0 7.954 * [backup-simplify]: Simplify (+ (* 0.125 (/ E (pow y 2))) 0) into (* 0.125 (/ E (pow y 2))) 7.955 * [taylor]: Taking taylor expansion of (* 0.125 (/ E (pow y 2))) in y 7.955 * [taylor]: Taking taylor expansion of 0.125 in y 7.955 * [backup-simplify]: Simplify 0.125 into 0.125 7.955 * [taylor]: Taking taylor expansion of (/ E (pow y 2)) in y 7.955 * [taylor]: Taking taylor expansion of E in y 7.955 * [backup-simplify]: Simplify E into E 7.955 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.955 * [taylor]: Taking taylor expansion of y in y 7.955 * [backup-simplify]: Simplify 0 into 0 7.955 * [backup-simplify]: Simplify 1 into 1 7.955 * [backup-simplify]: Simplify (* 1 1) into 1 7.956 * [backup-simplify]: Simplify (/ E 1) into E 7.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 7.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.961 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (* 0 E))) into 0 7.961 * [backup-simplify]: Simplify 0 into 0 7.961 * [backup-simplify]: Simplify 0 into 0 7.962 * [backup-simplify]: Simplify (- 0) into 0 7.962 * [backup-simplify]: Simplify (+ 0 0) into 0 7.962 * [backup-simplify]: Simplify 0 into 0 7.963 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 7.963 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 7.964 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow y 2)))) 1)) (* (* 0.125 (/ 1 (pow y 2))) (/ 0 1)))) into 0 7.969 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 0.125 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.970 * [backup-simplify]: Simplify (- 0) into 0 7.970 * [backup-simplify]: Simplify (+ 0 0) into 0 7.970 * [taylor]: Taking taylor expansion of 0 in y 7.970 * [backup-simplify]: Simplify 0 into 0 7.970 * [backup-simplify]: Simplify 0 into 0 7.971 * [backup-simplify]: Simplify (- E 1) into (- E 1) 7.971 * [backup-simplify]: Simplify (expm1 (/ 1 (cos (/ (/ (/ 1 x) (/ 1 y)) 2.0)))) into (expm1 (/ 1 (cos (* 0.5 (/ y x))))) 7.971 * [approximate]: Taking taylor expansion of (expm1 (/ 1 (cos (* 0.5 (/ y x))))) in (x y) around 0 7.971 * [taylor]: Taking taylor expansion of (expm1 (/ 1 (cos (* 0.5 (/ y x))))) in y 7.971 * [taylor]: Rewrote expression to (- (exp (/ 1 (cos (* 0.5 (/ y x))))) 1) 7.972 * [taylor]: Taking taylor expansion of (exp (/ 1 (cos (* 0.5 (/ y x))))) in y 7.972 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y 7.972 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 7.972 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 7.972 * [taylor]: Taking taylor expansion of 0.5 in y 7.972 * [backup-simplify]: Simplify 0.5 into 0.5 7.972 * [taylor]: Taking taylor expansion of (/ y x) in y 7.972 * [taylor]: Taking taylor expansion of y in y 7.972 * [backup-simplify]: Simplify 0 into 0 7.972 * [backup-simplify]: Simplify 1 into 1 7.972 * [taylor]: Taking taylor expansion of x in y 7.972 * [backup-simplify]: Simplify x into x 7.972 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.972 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 7.973 * [backup-simplify]: Simplify (/ 1 1) into 1 7.973 * [backup-simplify]: Simplify (exp 1) into E 7.973 * [taylor]: Taking taylor expansion of 1 in y 7.973 * [backup-simplify]: Simplify 1 into 1 7.973 * [taylor]: Taking taylor expansion of (expm1 (/ 1 (cos (* 0.5 (/ y x))))) in x 7.973 * [taylor]: Rewrote expression to (- (exp (/ 1 (cos (* 0.5 (/ y x))))) 1) 7.973 * [taylor]: Taking taylor expansion of (exp (/ 1 (cos (* 0.5 (/ y x))))) in x 7.973 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in x 7.973 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 7.973 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 7.973 * [taylor]: Taking taylor expansion of 0.5 in x 7.973 * [backup-simplify]: Simplify 0.5 into 0.5 7.973 * [taylor]: Taking taylor expansion of (/ y x) in x 7.973 * [taylor]: Taking taylor expansion of y in x 7.973 * [backup-simplify]: Simplify y into y 7.973 * [taylor]: Taking taylor expansion of x in x 7.973 * [backup-simplify]: Simplify 0 into 0 7.973 * [backup-simplify]: Simplify 1 into 1 7.973 * [backup-simplify]: Simplify (/ y 1) into y 7.973 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 7.973 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 7.974 * [backup-simplify]: Simplify (/ 1 (cos (* 0.5 (/ y x)))) into (/ 1 (cos (* 0.5 (/ y x)))) 7.974 * [backup-simplify]: Simplify (exp (/ 1 (cos (* 0.5 (/ y x))))) into (exp (/ 1 (cos (* 0.5 (/ y x))))) 7.974 * [taylor]: Taking taylor expansion of 1 in x 7.974 * [backup-simplify]: Simplify 1 into 1 7.974 * [taylor]: Taking taylor expansion of (expm1 (/ 1 (cos (* 0.5 (/ y x))))) in x 7.974 * [taylor]: Rewrote expression to (- (exp (/ 1 (cos (* 0.5 (/ y x))))) 1) 7.974 * [taylor]: Taking taylor expansion of (exp (/ 1 (cos (* 0.5 (/ y x))))) in x 7.974 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in x 7.974 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 7.974 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 7.974 * [taylor]: Taking taylor expansion of 0.5 in x 7.974 * [backup-simplify]: Simplify 0.5 into 0.5 7.974 * [taylor]: Taking taylor expansion of (/ y x) in x 7.974 * [taylor]: Taking taylor expansion of y in x 7.974 * [backup-simplify]: Simplify y into y 7.974 * [taylor]: Taking taylor expansion of x in x 7.974 * [backup-simplify]: Simplify 0 into 0 7.974 * [backup-simplify]: Simplify 1 into 1 7.974 * [backup-simplify]: Simplify (/ y 1) into y 7.974 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 7.975 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 7.975 * [backup-simplify]: Simplify (/ 1 (cos (* 0.5 (/ y x)))) into (/ 1 (cos (* 0.5 (/ y x)))) 7.975 * [backup-simplify]: Simplify (exp (/ 1 (cos (* 0.5 (/ y x))))) into (exp (/ 1 (cos (* 0.5 (/ y x))))) 7.975 * [taylor]: Taking taylor expansion of 1 in x 7.975 * [backup-simplify]: Simplify 1 into 1 7.976 * [backup-simplify]: Simplify (- 1) into -1 7.976 * [backup-simplify]: Simplify (+ (exp (/ 1 (cos (* 0.5 (/ y x))))) -1) into (- (exp (/ 1 (cos (* 0.5 (/ y x))))) 1) 7.976 * [taylor]: Taking taylor expansion of (- (exp (/ 1 (cos (* 0.5 (/ y x))))) 1) in y 7.976 * [taylor]: Taking taylor expansion of (exp (/ 1 (cos (* 0.5 (/ y x))))) in y 7.976 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y 7.976 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 7.976 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 7.976 * [taylor]: Taking taylor expansion of 0.5 in y 7.976 * [backup-simplify]: Simplify 0.5 into 0.5 7.976 * [taylor]: Taking taylor expansion of (/ y x) in y 7.976 * [taylor]: Taking taylor expansion of y in y 7.976 * [backup-simplify]: Simplify 0 into 0 7.976 * [backup-simplify]: Simplify 1 into 1 7.976 * [taylor]: Taking taylor expansion of x in y 7.976 * [backup-simplify]: Simplify x into x 7.976 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.976 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 7.977 * [backup-simplify]: Simplify (/ 1 1) into 1 7.977 * [backup-simplify]: Simplify (exp 1) into E 7.977 * [taylor]: Taking taylor expansion of 1 in y 7.977 * [backup-simplify]: Simplify 1 into 1 7.978 * [backup-simplify]: Simplify (- 1) into -1 7.978 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 7.979 * [backup-simplify]: Simplify (- E 1) into (- E 1) 7.979 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0 7.981 * [backup-simplify]: Simplify (* (exp (/ 1 (cos (* 0.5 (/ y x))))) (+ (* (/ (pow 0 1) 1)))) into 0 7.981 * [backup-simplify]: Simplify (- 0) into 0 7.982 * [backup-simplify]: Simplify (+ 0 0) into 0 7.982 * [taylor]: Taking taylor expansion of 0 in y 7.982 * [backup-simplify]: Simplify 0 into 0 7.982 * [backup-simplify]: Simplify 0 into 0 7.982 * [backup-simplify]: Simplify (+ 0) into 0 7.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.984 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow 0 1) 1)))) into 0 7.984 * [backup-simplify]: Simplify (- 0) into 0 7.985 * [backup-simplify]: Simplify (+ 0 0) into 0 7.985 * [backup-simplify]: Simplify 0 into 0 7.985 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 7.987 * [backup-simplify]: Simplify (* (exp (/ 1 (cos (* 0.5 (/ y x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.988 * [backup-simplify]: Simplify (- 0) into 0 7.988 * [backup-simplify]: Simplify (+ 0 0) into 0 7.988 * [taylor]: Taking taylor expansion of 0 in y 7.988 * [backup-simplify]: Simplify 0 into 0 7.988 * [backup-simplify]: Simplify 0 into 0 7.988 * [backup-simplify]: Simplify 0 into 0 7.989 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 7.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.125 (/ 1 (pow x 2))) 7.991 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 0.125 (/ 1 (pow x 2))) 1) 1)))) into (* 0.125 (/ E (pow x 2))) 7.992 * [backup-simplify]: Simplify (- 0) into 0 7.992 * [backup-simplify]: Simplify (+ (* 0.125 (/ E (pow x 2))) 0) into (* 0.125 (/ E (pow x 2))) 7.992 * [backup-simplify]: Simplify (* 0.125 (/ E (pow x 2))) into (* 0.125 (/ E (pow x 2))) 7.993 * [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 7.995 * [backup-simplify]: Simplify (* (exp (/ 1 (cos (* 0.5 (/ y x))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.995 * [backup-simplify]: Simplify (- 0) into 0 7.996 * [backup-simplify]: Simplify (+ 0 0) into 0 7.996 * [taylor]: Taking taylor expansion of 0 in y 7.996 * [backup-simplify]: Simplify 0 into 0 7.996 * [backup-simplify]: Simplify 0 into 0 7.996 * [backup-simplify]: Simplify 0 into 0 7.996 * [backup-simplify]: Simplify 0 into 0 7.996 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 7.997 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 7.998 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.125 (/ 1 (pow x 2))) (/ 0 1)))) into 0 8.002 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 0.125 (/ 1 (pow x 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.002 * [backup-simplify]: Simplify (- 0) into 0 8.003 * [backup-simplify]: Simplify (+ 0 0) into 0 8.003 * [backup-simplify]: Simplify 0 into 0 8.004 * [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 8.006 * [backup-simplify]: Simplify (* (exp (/ 1 (cos (* 0.5 (/ y x))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.007 * [backup-simplify]: Simplify (- 0) into 0 8.007 * [backup-simplify]: Simplify (+ 0 0) into 0 8.007 * [taylor]: Taking taylor expansion of 0 in y 8.007 * [backup-simplify]: Simplify 0 into 0 8.007 * [backup-simplify]: Simplify 0 into 0 8.007 * [backup-simplify]: Simplify 0 into 0 8.009 * [backup-simplify]: Simplify (+ (* (* 0.125 (/ E (pow (/ 1 x) 2))) (pow (* (/ 1 y) 1) 2)) (- E 1)) into (- (+ E (* 0.125 (/ (* (pow x 2) E) (pow y 2)))) 1) 8.009 * [backup-simplify]: Simplify (expm1 (/ 1 (cos (/ (/ (/ 1 (- x)) (/ 1 (- y))) 2.0)))) into (expm1 (/ 1 (cos (* 0.5 (/ y x))))) 8.009 * [approximate]: Taking taylor expansion of (expm1 (/ 1 (cos (* 0.5 (/ y x))))) in (x y) around 0 8.009 * [taylor]: Taking taylor expansion of (expm1 (/ 1 (cos (* 0.5 (/ y x))))) in y 8.009 * [taylor]: Rewrote expression to (- (exp (/ 1 (cos (* 0.5 (/ y x))))) 1) 8.009 * [taylor]: Taking taylor expansion of (exp (/ 1 (cos (* 0.5 (/ y x))))) in y 8.009 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y 8.009 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 8.009 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 8.009 * [taylor]: Taking taylor expansion of 0.5 in y 8.009 * [backup-simplify]: Simplify 0.5 into 0.5 8.009 * [taylor]: Taking taylor expansion of (/ y x) in y 8.010 * [taylor]: Taking taylor expansion of y in y 8.010 * [backup-simplify]: Simplify 0 into 0 8.010 * [backup-simplify]: Simplify 1 into 1 8.010 * [taylor]: Taking taylor expansion of x in y 8.010 * [backup-simplify]: Simplify x into x 8.010 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.010 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 8.010 * [backup-simplify]: Simplify (/ 1 1) into 1 8.010 * [backup-simplify]: Simplify (exp 1) into E 8.010 * [taylor]: Taking taylor expansion of 1 in y 8.011 * [backup-simplify]: Simplify 1 into 1 8.011 * [taylor]: Taking taylor expansion of (expm1 (/ 1 (cos (* 0.5 (/ y x))))) in x 8.011 * [taylor]: Rewrote expression to (- (exp (/ 1 (cos (* 0.5 (/ y x))))) 1) 8.011 * [taylor]: Taking taylor expansion of (exp (/ 1 (cos (* 0.5 (/ y x))))) in x 8.011 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in x 8.011 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 8.011 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 8.011 * [taylor]: Taking taylor expansion of 0.5 in x 8.011 * [backup-simplify]: Simplify 0.5 into 0.5 8.011 * [taylor]: Taking taylor expansion of (/ y x) in x 8.011 * [taylor]: Taking taylor expansion of y in x 8.011 * [backup-simplify]: Simplify y into y 8.011 * [taylor]: Taking taylor expansion of x in x 8.011 * [backup-simplify]: Simplify 0 into 0 8.011 * [backup-simplify]: Simplify 1 into 1 8.011 * [backup-simplify]: Simplify (/ y 1) into y 8.011 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 8.011 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 8.011 * [backup-simplify]: Simplify (/ 1 (cos (* 0.5 (/ y x)))) into (/ 1 (cos (* 0.5 (/ y x)))) 8.012 * [backup-simplify]: Simplify (exp (/ 1 (cos (* 0.5 (/ y x))))) into (exp (/ 1 (cos (* 0.5 (/ y x))))) 8.012 * [taylor]: Taking taylor expansion of 1 in x 8.012 * [backup-simplify]: Simplify 1 into 1 8.012 * [taylor]: Taking taylor expansion of (expm1 (/ 1 (cos (* 0.5 (/ y x))))) in x 8.012 * [taylor]: Rewrote expression to (- (exp (/ 1 (cos (* 0.5 (/ y x))))) 1) 8.012 * [taylor]: Taking taylor expansion of (exp (/ 1 (cos (* 0.5 (/ y x))))) in x 8.012 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in x 8.012 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 8.012 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 8.012 * [taylor]: Taking taylor expansion of 0.5 in x 8.012 * [backup-simplify]: Simplify 0.5 into 0.5 8.012 * [taylor]: Taking taylor expansion of (/ y x) in x 8.012 * [taylor]: Taking taylor expansion of y in x 8.012 * [backup-simplify]: Simplify y into y 8.012 * [taylor]: Taking taylor expansion of x in x 8.012 * [backup-simplify]: Simplify 0 into 0 8.012 * [backup-simplify]: Simplify 1 into 1 8.012 * [backup-simplify]: Simplify (/ y 1) into y 8.012 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 8.012 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 8.013 * [backup-simplify]: Simplify (/ 1 (cos (* 0.5 (/ y x)))) into (/ 1 (cos (* 0.5 (/ y x)))) 8.013 * [backup-simplify]: Simplify (exp (/ 1 (cos (* 0.5 (/ y x))))) into (exp (/ 1 (cos (* 0.5 (/ y x))))) 8.013 * [taylor]: Taking taylor expansion of 1 in x 8.013 * [backup-simplify]: Simplify 1 into 1 8.013 * [backup-simplify]: Simplify (- 1) into -1 8.014 * [backup-simplify]: Simplify (+ (exp (/ 1 (cos (* 0.5 (/ y x))))) -1) into (- (exp (/ 1 (cos (* 0.5 (/ y x))))) 1) 8.014 * [taylor]: Taking taylor expansion of (- (exp (/ 1 (cos (* 0.5 (/ y x))))) 1) in y 8.014 * [taylor]: Taking taylor expansion of (exp (/ 1 (cos (* 0.5 (/ y x))))) in y 8.014 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y 8.014 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 8.014 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 8.014 * [taylor]: Taking taylor expansion of 0.5 in y 8.014 * [backup-simplify]: Simplify 0.5 into 0.5 8.014 * [taylor]: Taking taylor expansion of (/ y x) in y 8.014 * [taylor]: Taking taylor expansion of y in y 8.014 * [backup-simplify]: Simplify 0 into 0 8.014 * [backup-simplify]: Simplify 1 into 1 8.014 * [taylor]: Taking taylor expansion of x in y 8.014 * [backup-simplify]: Simplify x into x 8.014 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.014 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 8.015 * [backup-simplify]: Simplify (/ 1 1) into 1 8.015 * [backup-simplify]: Simplify (exp 1) into E 8.015 * [taylor]: Taking taylor expansion of 1 in y 8.015 * [backup-simplify]: Simplify 1 into 1 8.015 * [backup-simplify]: Simplify (- 1) into -1 8.016 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 8.017 * [backup-simplify]: Simplify (- E 1) into (- E 1) 8.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0 8.018 * [backup-simplify]: Simplify (* (exp (/ 1 (cos (* 0.5 (/ y x))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.019 * [backup-simplify]: Simplify (- 0) into 0 8.019 * [backup-simplify]: Simplify (+ 0 0) into 0 8.019 * [taylor]: Taking taylor expansion of 0 in y 8.019 * [backup-simplify]: Simplify 0 into 0 8.019 * [backup-simplify]: Simplify 0 into 0 8.020 * [backup-simplify]: Simplify (+ 0) into 0 8.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.022 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow 0 1) 1)))) into 0 8.022 * [backup-simplify]: Simplify (- 0) into 0 8.023 * [backup-simplify]: Simplify (+ 0 0) into 0 8.023 * [backup-simplify]: Simplify 0 into 0 8.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 8.025 * [backup-simplify]: Simplify (* (exp (/ 1 (cos (* 0.5 (/ y x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.025 * [backup-simplify]: Simplify (- 0) into 0 8.026 * [backup-simplify]: Simplify (+ 0 0) into 0 8.026 * [taylor]: Taking taylor expansion of 0 in y 8.026 * [backup-simplify]: Simplify 0 into 0 8.026 * [backup-simplify]: Simplify 0 into 0 8.026 * [backup-simplify]: Simplify 0 into 0 8.026 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 8.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.125 (/ 1 (pow x 2))) 8.029 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 0.125 (/ 1 (pow x 2))) 1) 1)))) into (* 0.125 (/ E (pow x 2))) 8.029 * [backup-simplify]: Simplify (- 0) into 0 8.029 * [backup-simplify]: Simplify (+ (* 0.125 (/ E (pow x 2))) 0) into (* 0.125 (/ E (pow x 2))) 8.030 * [backup-simplify]: Simplify (* 0.125 (/ E (pow x 2))) into (* 0.125 (/ E (pow x 2))) 8.030 * [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 8.032 * [backup-simplify]: Simplify (* (exp (/ 1 (cos (* 0.5 (/ y x))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.033 * [backup-simplify]: Simplify (- 0) into 0 8.033 * [backup-simplify]: Simplify (+ 0 0) into 0 8.033 * [taylor]: Taking taylor expansion of 0 in y 8.033 * [backup-simplify]: Simplify 0 into 0 8.033 * [backup-simplify]: Simplify 0 into 0 8.033 * [backup-simplify]: Simplify 0 into 0 8.033 * [backup-simplify]: Simplify 0 into 0 8.034 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 8.034 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 8.035 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.125 (/ 1 (pow x 2))) (/ 0 1)))) into 0 8.038 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 0.125 (/ 1 (pow x 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.039 * [backup-simplify]: Simplify (- 0) into 0 8.039 * [backup-simplify]: Simplify (+ 0 0) into 0 8.039 * [backup-simplify]: Simplify 0 into 0 8.039 * [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 8.041 * [backup-simplify]: Simplify (* (exp (/ 1 (cos (* 0.5 (/ y x))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.041 * [backup-simplify]: Simplify (- 0) into 0 8.042 * [backup-simplify]: Simplify (+ 0 0) into 0 8.042 * [taylor]: Taking taylor expansion of 0 in y 8.042 * [backup-simplify]: Simplify 0 into 0 8.042 * [backup-simplify]: Simplify 0 into 0 8.042 * [backup-simplify]: Simplify 0 into 0 8.043 * [backup-simplify]: Simplify (+ (* (* 0.125 (/ E (pow (/ 1 (- x)) 2))) (pow (* (/ 1 (- y)) 1) 2)) (- E 1)) into (- (+ E (* 0.125 (/ (* (pow x 2) E) (pow y 2)))) 1) 8.043 * * * * [progress]: [ 3 / 4 ] generating series at (2) 8.043 * [backup-simplify]: Simplify (log1p (expm1 (/ 1 (cos (/ (/ x y) 2.0))))) into (log1p (expm1 (/ 1 (cos (* 0.5 (/ x y)))))) 8.043 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ 1 (cos (* 0.5 (/ x y)))))) in (x y) around 0 8.043 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1 (cos (* 0.5 (/ x y)))))) in y 8.043 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1 (cos (* 0.5 (/ x y))))))) 8.043 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1 (cos (* 0.5 (/ x y)))))) in y 8.043 * [taylor]: Taking taylor expansion of 1 in y 8.043 * [backup-simplify]: Simplify 1 into 1 8.043 * [taylor]: Taking taylor expansion of (expm1 (/ 1 (cos (* 0.5 (/ x y))))) in y 8.043 * [taylor]: Rewrote expression to (- (exp (/ 1 (cos (* 0.5 (/ x y))))) 1) 8.043 * [taylor]: Taking taylor expansion of (exp (/ 1 (cos (* 0.5 (/ x y))))) in y 8.043 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ x y)))) in y 8.043 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 8.043 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 8.043 * [taylor]: Taking taylor expansion of 0.5 in y 8.043 * [backup-simplify]: Simplify 0.5 into 0.5 8.043 * [taylor]: Taking taylor expansion of (/ x y) in y 8.043 * [taylor]: Taking taylor expansion of x in y 8.043 * [backup-simplify]: Simplify x into x 8.043 * [taylor]: Taking taylor expansion of y in y 8.043 * [backup-simplify]: Simplify 0 into 0 8.043 * [backup-simplify]: Simplify 1 into 1 8.043 * [backup-simplify]: Simplify (/ x 1) into x 8.043 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 8.043 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 8.043 * [backup-simplify]: Simplify (/ 1 (cos (* 0.5 (/ x y)))) into (/ 1 (cos (* 0.5 (/ x y)))) 8.044 * [backup-simplify]: Simplify (exp (/ 1 (cos (* 0.5 (/ x y))))) into (exp (/ 1 (cos (* 0.5 (/ x y))))) 8.044 * [taylor]: Taking taylor expansion of 1 in y 8.044 * [backup-simplify]: Simplify 1 into 1 8.044 * [backup-simplify]: Simplify (- 1) into -1 8.044 * [backup-simplify]: Simplify (+ (exp (/ 1 (cos (* 0.5 (/ x y))))) -1) into (- (exp (/ 1 (cos (* 0.5 (/ x y))))) 1) 8.044 * [backup-simplify]: Simplify (+ 1 (- (exp (/ 1 (cos (* 0.5 (/ x y))))) 1)) into (exp (/ 1 (cos (* 0.5 (/ x y))))) 8.044 * [backup-simplify]: Simplify (log (exp (/ 1 (cos (* 0.5 (/ x y)))))) into (/ 1 (cos (* 0.5 (/ x y)))) 8.044 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1 (cos (* 0.5 (/ x y)))))) in x 8.044 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1 (cos (* 0.5 (/ x y))))))) 8.045 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1 (cos (* 0.5 (/ x y)))))) in x 8.045 * [taylor]: Taking taylor expansion of 1 in x 8.045 * [backup-simplify]: Simplify 1 into 1 8.045 * [taylor]: Taking taylor expansion of (expm1 (/ 1 (cos (* 0.5 (/ x y))))) in x 8.045 * [taylor]: Rewrote expression to (- (exp (/ 1 (cos (* 0.5 (/ x y))))) 1) 8.045 * [taylor]: Taking taylor expansion of (exp (/ 1 (cos (* 0.5 (/ x y))))) in x 8.045 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ x y)))) in x 8.045 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 8.045 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 8.045 * [taylor]: Taking taylor expansion of 0.5 in x 8.045 * [backup-simplify]: Simplify 0.5 into 0.5 8.045 * [taylor]: Taking taylor expansion of (/ x y) in x 8.045 * [taylor]: Taking taylor expansion of x in x 8.045 * [backup-simplify]: Simplify 0 into 0 8.045 * [backup-simplify]: Simplify 1 into 1 8.045 * [taylor]: Taking taylor expansion of y in x 8.045 * [backup-simplify]: Simplify y into y 8.045 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.045 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 8.049 * [backup-simplify]: Simplify (/ 1 1) into 1 8.049 * [backup-simplify]: Simplify (exp 1) into E 8.049 * [taylor]: Taking taylor expansion of 1 in x 8.049 * [backup-simplify]: Simplify 1 into 1 8.050 * [backup-simplify]: Simplify (- 1) into -1 8.050 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 8.051 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 8.051 * [backup-simplify]: Simplify (log E) into 1 8.051 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1 (cos (* 0.5 (/ x y)))))) in x 8.051 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1 (cos (* 0.5 (/ x y))))))) 8.051 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1 (cos (* 0.5 (/ x y)))))) in x 8.051 * [taylor]: Taking taylor expansion of 1 in x 8.051 * [backup-simplify]: Simplify 1 into 1 8.051 * [taylor]: Taking taylor expansion of (expm1 (/ 1 (cos (* 0.5 (/ x y))))) in x 8.051 * [taylor]: Rewrote expression to (- (exp (/ 1 (cos (* 0.5 (/ x y))))) 1) 8.051 * [taylor]: Taking taylor expansion of (exp (/ 1 (cos (* 0.5 (/ x y))))) in x 8.051 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ x y)))) in x 8.051 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 8.051 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 8.051 * [taylor]: Taking taylor expansion of 0.5 in x 8.051 * [backup-simplify]: Simplify 0.5 into 0.5 8.051 * [taylor]: Taking taylor expansion of (/ x y) in x 8.051 * [taylor]: Taking taylor expansion of x in x 8.051 * [backup-simplify]: Simplify 0 into 0 8.051 * [backup-simplify]: Simplify 1 into 1 8.051 * [taylor]: Taking taylor expansion of y in x 8.051 * [backup-simplify]: Simplify y into y 8.051 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.051 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 8.052 * [backup-simplify]: Simplify (/ 1 1) into 1 8.052 * [backup-simplify]: Simplify (exp 1) into E 8.052 * [taylor]: Taking taylor expansion of 1 in x 8.052 * [backup-simplify]: Simplify 1 into 1 8.052 * [backup-simplify]: Simplify (- 1) into -1 8.052 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 8.053 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 8.053 * [backup-simplify]: Simplify (log E) into 1 8.053 * [taylor]: Taking taylor expansion of 1 in y 8.053 * [backup-simplify]: Simplify 1 into 1 8.053 * [backup-simplify]: Simplify 1 into 1 8.053 * [backup-simplify]: Simplify (+ 0) into 0 8.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.054 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow 0 1) 1)))) into 0 8.055 * [backup-simplify]: Simplify (- 0) into 0 8.055 * [backup-simplify]: Simplify (+ 0 0) into 0 8.055 * [backup-simplify]: Simplify (+ 0 0) into 0 8.056 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow E 1)))) 1) into 0 8.056 * [taylor]: Taking taylor expansion of 0 in y 8.056 * [backup-simplify]: Simplify 0 into 0 8.056 * [backup-simplify]: Simplify 0 into 0 8.056 * [backup-simplify]: Simplify 0 into 0 8.056 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 8.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (* 0.125 (/ 1 (pow y 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.125 (/ 1 (pow y 2))) 8.058 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 0.125 (/ 1 (pow y 2))) 1) 1)))) into (* 0.125 (/ E (pow y 2))) 8.058 * [backup-simplify]: Simplify (- 0) into 0 8.058 * [backup-simplify]: Simplify (+ (* 0.125 (/ E (pow y 2))) 0) into (* 0.125 (/ E (pow y 2))) 8.059 * [backup-simplify]: Simplify (+ 0 (* 0.125 (/ E (pow y 2)))) into (* 0.125 (/ E (pow y 2))) 8.060 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 (* 0.125 (/ E (pow y 2)))) 1)) (pow E 1)))) 2) into (/ 0.125 (pow y 2)) 8.060 * [taylor]: Taking taylor expansion of (/ 0.125 (pow y 2)) in y 8.060 * [taylor]: Taking taylor expansion of 0.125 in y 8.060 * [backup-simplify]: Simplify 0.125 into 0.125 8.060 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.060 * [taylor]: Taking taylor expansion of y in y 8.060 * [backup-simplify]: Simplify 0 into 0 8.060 * [backup-simplify]: Simplify 1 into 1 8.061 * [backup-simplify]: Simplify (* 1 1) into 1 8.061 * [backup-simplify]: Simplify (/ 0.125 1) into 0.125 8.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.125 (/ 0 1)))) into 0 8.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.125 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.063 * [backup-simplify]: Simplify 0 into 0 8.063 * [backup-simplify]: Simplify 0 into 0 8.063 * [backup-simplify]: Simplify 0 into 0 8.064 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 8.064 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 8.064 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow y 2)))) 1)) (* (* 0.125 (/ 1 (pow y 2))) (/ 0 1)))) into 0 8.068 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 0.125 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.069 * [backup-simplify]: Simplify (- 0) into 0 8.069 * [backup-simplify]: Simplify (+ 0 0) into 0 8.070 * [backup-simplify]: Simplify (+ 0 0) into 0 8.075 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow E 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 0.125 (/ E (pow y 2)))) 1)) (pow E 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow E 1)))) 6) into 0 8.075 * [taylor]: Taking taylor expansion of 0 in y 8.075 * [backup-simplify]: Simplify 0 into 0 8.075 * [backup-simplify]: Simplify 0 into 0 8.075 * [backup-simplify]: Simplify 1 into 1 8.075 * [backup-simplify]: Simplify (log1p (expm1 (/ 1 (cos (/ (/ (/ 1 x) (/ 1 y)) 2.0))))) into (log1p (expm1 (/ 1 (cos (* 0.5 (/ y x)))))) 8.075 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ 1 (cos (* 0.5 (/ y x)))))) in (x y) around 0 8.075 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1 (cos (* 0.5 (/ y x)))))) in y 8.076 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1 (cos (* 0.5 (/ y x))))))) 8.076 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1 (cos (* 0.5 (/ y x)))))) in y 8.076 * [taylor]: Taking taylor expansion of 1 in y 8.076 * [backup-simplify]: Simplify 1 into 1 8.076 * [taylor]: Taking taylor expansion of (expm1 (/ 1 (cos (* 0.5 (/ y x))))) in y 8.076 * [taylor]: Rewrote expression to (- (exp (/ 1 (cos (* 0.5 (/ y x))))) 1) 8.076 * [taylor]: Taking taylor expansion of (exp (/ 1 (cos (* 0.5 (/ y x))))) in y 8.076 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y 8.076 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 8.076 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 8.076 * [taylor]: Taking taylor expansion of 0.5 in y 8.076 * [backup-simplify]: Simplify 0.5 into 0.5 8.076 * [taylor]: Taking taylor expansion of (/ y x) in y 8.076 * [taylor]: Taking taylor expansion of y in y 8.076 * [backup-simplify]: Simplify 0 into 0 8.076 * [backup-simplify]: Simplify 1 into 1 8.076 * [taylor]: Taking taylor expansion of x in y 8.076 * [backup-simplify]: Simplify x into x 8.076 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.076 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 8.077 * [backup-simplify]: Simplify (/ 1 1) into 1 8.077 * [backup-simplify]: Simplify (exp 1) into E 8.077 * [taylor]: Taking taylor expansion of 1 in y 8.077 * [backup-simplify]: Simplify 1 into 1 8.078 * [backup-simplify]: Simplify (- 1) into -1 8.078 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 8.079 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 8.079 * [backup-simplify]: Simplify (log E) into 1 8.079 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1 (cos (* 0.5 (/ y x)))))) in x 8.079 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1 (cos (* 0.5 (/ y x))))))) 8.080 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1 (cos (* 0.5 (/ y x)))))) in x 8.080 * [taylor]: Taking taylor expansion of 1 in x 8.080 * [backup-simplify]: Simplify 1 into 1 8.080 * [taylor]: Taking taylor expansion of (expm1 (/ 1 (cos (* 0.5 (/ y x))))) in x 8.080 * [taylor]: Rewrote expression to (- (exp (/ 1 (cos (* 0.5 (/ y x))))) 1) 8.080 * [taylor]: Taking taylor expansion of (exp (/ 1 (cos (* 0.5 (/ y x))))) in x 8.080 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in x 8.080 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 8.080 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 8.080 * [taylor]: Taking taylor expansion of 0.5 in x 8.080 * [backup-simplify]: Simplify 0.5 into 0.5 8.080 * [taylor]: Taking taylor expansion of (/ y x) in x 8.080 * [taylor]: Taking taylor expansion of y in x 8.080 * [backup-simplify]: Simplify y into y 8.080 * [taylor]: Taking taylor expansion of x in x 8.080 * [backup-simplify]: Simplify 0 into 0 8.080 * [backup-simplify]: Simplify 1 into 1 8.080 * [backup-simplify]: Simplify (/ y 1) into y 8.080 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 8.080 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 8.080 * [backup-simplify]: Simplify (/ 1 (cos (* 0.5 (/ y x)))) into (/ 1 (cos (* 0.5 (/ y x)))) 8.081 * [backup-simplify]: Simplify (exp (/ 1 (cos (* 0.5 (/ y x))))) into (exp (/ 1 (cos (* 0.5 (/ y x))))) 8.081 * [taylor]: Taking taylor expansion of 1 in x 8.081 * [backup-simplify]: Simplify 1 into 1 8.081 * [backup-simplify]: Simplify (- 1) into -1 8.082 * [backup-simplify]: Simplify (+ (exp (/ 1 (cos (* 0.5 (/ y x))))) -1) into (- (exp (/ 1 (cos (* 0.5 (/ y x))))) 1) 8.082 * [backup-simplify]: Simplify (+ 1 (- (exp (/ 1 (cos (* 0.5 (/ y x))))) 1)) into (exp (/ 1 (cos (* 0.5 (/ y x))))) 8.082 * [backup-simplify]: Simplify (log (exp (/ 1 (cos (* 0.5 (/ y x)))))) into (/ 1 (cos (* 0.5 (/ y x)))) 8.082 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1 (cos (* 0.5 (/ y x)))))) in x 8.082 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1 (cos (* 0.5 (/ y x))))))) 8.082 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1 (cos (* 0.5 (/ y x)))))) in x 8.082 * [taylor]: Taking taylor expansion of 1 in x 8.082 * [backup-simplify]: Simplify 1 into 1 8.082 * [taylor]: Taking taylor expansion of (expm1 (/ 1 (cos (* 0.5 (/ y x))))) in x 8.082 * [taylor]: Rewrote expression to (- (exp (/ 1 (cos (* 0.5 (/ y x))))) 1) 8.083 * [taylor]: Taking taylor expansion of (exp (/ 1 (cos (* 0.5 (/ y x))))) in x 8.083 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in x 8.083 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 8.083 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 8.083 * [taylor]: Taking taylor expansion of 0.5 in x 8.083 * [backup-simplify]: Simplify 0.5 into 0.5 8.083 * [taylor]: Taking taylor expansion of (/ y x) in x 8.083 * [taylor]: Taking taylor expansion of y in x 8.083 * [backup-simplify]: Simplify y into y 8.083 * [taylor]: Taking taylor expansion of x in x 8.083 * [backup-simplify]: Simplify 0 into 0 8.083 * [backup-simplify]: Simplify 1 into 1 8.083 * [backup-simplify]: Simplify (/ y 1) into y 8.083 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 8.083 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 8.083 * [backup-simplify]: Simplify (/ 1 (cos (* 0.5 (/ y x)))) into (/ 1 (cos (* 0.5 (/ y x)))) 8.083 * [backup-simplify]: Simplify (exp (/ 1 (cos (* 0.5 (/ y x))))) into (exp (/ 1 (cos (* 0.5 (/ y x))))) 8.083 * [taylor]: Taking taylor expansion of 1 in x 8.083 * [backup-simplify]: Simplify 1 into 1 8.084 * [backup-simplify]: Simplify (- 1) into -1 8.084 * [backup-simplify]: Simplify (+ (exp (/ 1 (cos (* 0.5 (/ y x))))) -1) into (- (exp (/ 1 (cos (* 0.5 (/ y x))))) 1) 8.084 * [backup-simplify]: Simplify (+ 1 (- (exp (/ 1 (cos (* 0.5 (/ y x))))) 1)) into (exp (/ 1 (cos (* 0.5 (/ y x))))) 8.085 * [backup-simplify]: Simplify (log (exp (/ 1 (cos (* 0.5 (/ y x)))))) into (/ 1 (cos (* 0.5 (/ y x)))) 8.085 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y 8.085 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 8.085 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 8.085 * [taylor]: Taking taylor expansion of 0.5 in y 8.085 * [backup-simplify]: Simplify 0.5 into 0.5 8.085 * [taylor]: Taking taylor expansion of (/ y x) in y 8.085 * [taylor]: Taking taylor expansion of y in y 8.085 * [backup-simplify]: Simplify 0 into 0 8.085 * [backup-simplify]: Simplify 1 into 1 8.085 * [taylor]: Taking taylor expansion of x in y 8.085 * [backup-simplify]: Simplify x into x 8.085 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.085 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 8.086 * [backup-simplify]: Simplify (/ 1 1) into 1 8.086 * [backup-simplify]: Simplify 1 into 1 8.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0 8.088 * [backup-simplify]: Simplify (* (exp (/ 1 (cos (* 0.5 (/ y x))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.088 * [backup-simplify]: Simplify (- 0) into 0 8.088 * [backup-simplify]: Simplify (+ 0 0) into 0 8.089 * [backup-simplify]: Simplify (+ 0 0) into 0 8.090 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 1 (cos (* 0.5 (/ y x))))) 1)))) 1) into 0 8.090 * [taylor]: Taking taylor expansion of 0 in y 8.090 * [backup-simplify]: Simplify 0 into 0 8.090 * [backup-simplify]: Simplify 0 into 0 8.091 * [backup-simplify]: Simplify (+ 0) into 0 8.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.092 * [backup-simplify]: Simplify 0 into 0 8.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 8.094 * [backup-simplify]: Simplify (* (exp (/ 1 (cos (* 0.5 (/ y x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.094 * [backup-simplify]: Simplify (- 0) into 0 8.095 * [backup-simplify]: Simplify (+ 0 0) into 0 8.095 * [backup-simplify]: Simplify (+ 0 0) into 0 8.097 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ 1 (cos (* 0.5 (/ y x))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ 1 (cos (* 0.5 (/ y x))))) 1)))) 2) into 0 8.097 * [taylor]: Taking taylor expansion of 0 in y 8.097 * [backup-simplify]: Simplify 0 into 0 8.097 * [backup-simplify]: Simplify 0 into 0 8.097 * [backup-simplify]: Simplify 0 into 0 8.098 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 8.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.125 (/ 1 (pow x 2))) 8.099 * [backup-simplify]: Simplify (* 0.125 (/ 1 (pow x 2))) into (/ 0.125 (pow x 2)) 8.100 * [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 8.102 * [backup-simplify]: Simplify (* (exp (/ 1 (cos (* 0.5 (/ y x))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.103 * [backup-simplify]: Simplify (- 0) into 0 8.103 * [backup-simplify]: Simplify (+ 0 0) into 0 8.103 * [backup-simplify]: Simplify (+ 0 0) into 0 8.107 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ 1 (cos (* 0.5 (/ y x))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ 1 (cos (* 0.5 (/ y x))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ 1 (cos (* 0.5 (/ y x))))) 1)))) 6) into 0 8.107 * [taylor]: Taking taylor expansion of 0 in y 8.107 * [backup-simplify]: Simplify 0 into 0 8.107 * [backup-simplify]: Simplify 0 into 0 8.107 * [backup-simplify]: Simplify 0 into 0 8.107 * [backup-simplify]: Simplify 0 into 0 8.107 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 8.108 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 8.109 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.125 (/ 1 (pow x 2))) (/ 0 1)))) into 0 8.111 * [backup-simplify]: Simplify 0 into 0 8.112 * [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 8.114 * [backup-simplify]: Simplify (* (exp (/ 1 (cos (* 0.5 (/ y x))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.115 * [backup-simplify]: Simplify (- 0) into 0 8.115 * [backup-simplify]: Simplify (+ 0 0) into 0 8.116 * [backup-simplify]: Simplify (+ 0 0) into 0 8.123 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ 1 (cos (* 0.5 (/ y x))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ 1 (cos (* 0.5 (/ y x))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ 1 (cos (* 0.5 (/ y x))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ 1 (cos (* 0.5 (/ y x))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ 1 (cos (* 0.5 (/ y x))))) 1)))) 24) into 0 8.123 * [taylor]: Taking taylor expansion of 0 in y 8.123 * [backup-simplify]: Simplify 0 into 0 8.123 * [backup-simplify]: Simplify 0 into 0 8.123 * [backup-simplify]: Simplify 0 into 0 8.124 * [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) 8.124 * [backup-simplify]: Simplify (log1p (expm1 (/ 1 (cos (/ (/ (/ 1 (- x)) (/ 1 (- y))) 2.0))))) into (log1p (expm1 (/ 1 (cos (* 0.5 (/ y x)))))) 8.124 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ 1 (cos (* 0.5 (/ y x)))))) in (x y) around 0 8.124 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1 (cos (* 0.5 (/ y x)))))) in y 8.124 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1 (cos (* 0.5 (/ y x))))))) 8.124 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1 (cos (* 0.5 (/ y x)))))) in y 8.124 * [taylor]: Taking taylor expansion of 1 in y 8.124 * [backup-simplify]: Simplify 1 into 1 8.124 * [taylor]: Taking taylor expansion of (expm1 (/ 1 (cos (* 0.5 (/ y x))))) in y 8.124 * [taylor]: Rewrote expression to (- (exp (/ 1 (cos (* 0.5 (/ y x))))) 1) 8.124 * [taylor]: Taking taylor expansion of (exp (/ 1 (cos (* 0.5 (/ y x))))) in y 8.124 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y 8.124 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 8.124 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 8.124 * [taylor]: Taking taylor expansion of 0.5 in y 8.124 * [backup-simplify]: Simplify 0.5 into 0.5 8.124 * [taylor]: Taking taylor expansion of (/ y x) in y 8.124 * [taylor]: Taking taylor expansion of y in y 8.125 * [backup-simplify]: Simplify 0 into 0 8.125 * [backup-simplify]: Simplify 1 into 1 8.125 * [taylor]: Taking taylor expansion of x in y 8.125 * [backup-simplify]: Simplify x into x 8.125 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.125 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 8.125 * [backup-simplify]: Simplify (/ 1 1) into 1 8.125 * [backup-simplify]: Simplify (exp 1) into E 8.125 * [taylor]: Taking taylor expansion of 1 in y 8.126 * [backup-simplify]: Simplify 1 into 1 8.126 * [backup-simplify]: Simplify (- 1) into -1 8.126 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 8.128 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 8.128 * [backup-simplify]: Simplify (log E) into 1 8.128 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1 (cos (* 0.5 (/ y x)))))) in x 8.128 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1 (cos (* 0.5 (/ y x))))))) 8.128 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1 (cos (* 0.5 (/ y x)))))) in x 8.128 * [taylor]: Taking taylor expansion of 1 in x 8.128 * [backup-simplify]: Simplify 1 into 1 8.128 * [taylor]: Taking taylor expansion of (expm1 (/ 1 (cos (* 0.5 (/ y x))))) in x 8.128 * [taylor]: Rewrote expression to (- (exp (/ 1 (cos (* 0.5 (/ y x))))) 1) 8.128 * [taylor]: Taking taylor expansion of (exp (/ 1 (cos (* 0.5 (/ y x))))) in x 8.128 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in x 8.128 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 8.128 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 8.128 * [taylor]: Taking taylor expansion of 0.5 in x 8.129 * [backup-simplify]: Simplify 0.5 into 0.5 8.129 * [taylor]: Taking taylor expansion of (/ y x) in x 8.129 * [taylor]: Taking taylor expansion of y in x 8.129 * [backup-simplify]: Simplify y into y 8.129 * [taylor]: Taking taylor expansion of x in x 8.129 * [backup-simplify]: Simplify 0 into 0 8.129 * [backup-simplify]: Simplify 1 into 1 8.129 * [backup-simplify]: Simplify (/ y 1) into y 8.129 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 8.129 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 8.129 * [backup-simplify]: Simplify (/ 1 (cos (* 0.5 (/ y x)))) into (/ 1 (cos (* 0.5 (/ y x)))) 8.129 * [backup-simplify]: Simplify (exp (/ 1 (cos (* 0.5 (/ y x))))) into (exp (/ 1 (cos (* 0.5 (/ y x))))) 8.129 * [taylor]: Taking taylor expansion of 1 in x 8.129 * [backup-simplify]: Simplify 1 into 1 8.130 * [backup-simplify]: Simplify (- 1) into -1 8.130 * [backup-simplify]: Simplify (+ (exp (/ 1 (cos (* 0.5 (/ y x))))) -1) into (- (exp (/ 1 (cos (* 0.5 (/ y x))))) 1) 8.130 * [backup-simplify]: Simplify (+ 1 (- (exp (/ 1 (cos (* 0.5 (/ y x))))) 1)) into (exp (/ 1 (cos (* 0.5 (/ y x))))) 8.131 * [backup-simplify]: Simplify (log (exp (/ 1 (cos (* 0.5 (/ y x)))))) into (/ 1 (cos (* 0.5 (/ y x)))) 8.131 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1 (cos (* 0.5 (/ y x)))))) in x 8.131 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1 (cos (* 0.5 (/ y x))))))) 8.131 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1 (cos (* 0.5 (/ y x)))))) in x 8.131 * [taylor]: Taking taylor expansion of 1 in x 8.131 * [backup-simplify]: Simplify 1 into 1 8.131 * [taylor]: Taking taylor expansion of (expm1 (/ 1 (cos (* 0.5 (/ y x))))) in x 8.131 * [taylor]: Rewrote expression to (- (exp (/ 1 (cos (* 0.5 (/ y x))))) 1) 8.131 * [taylor]: Taking taylor expansion of (exp (/ 1 (cos (* 0.5 (/ y x))))) in x 8.131 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in x 8.131 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 8.131 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 8.131 * [taylor]: Taking taylor expansion of 0.5 in x 8.131 * [backup-simplify]: Simplify 0.5 into 0.5 8.131 * [taylor]: Taking taylor expansion of (/ y x) in x 8.131 * [taylor]: Taking taylor expansion of y in x 8.131 * [backup-simplify]: Simplify y into y 8.131 * [taylor]: Taking taylor expansion of x in x 8.131 * [backup-simplify]: Simplify 0 into 0 8.131 * [backup-simplify]: Simplify 1 into 1 8.131 * [backup-simplify]: Simplify (/ y 1) into y 8.131 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 8.132 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 8.132 * [backup-simplify]: Simplify (/ 1 (cos (* 0.5 (/ y x)))) into (/ 1 (cos (* 0.5 (/ y x)))) 8.132 * [backup-simplify]: Simplify (exp (/ 1 (cos (* 0.5 (/ y x))))) into (exp (/ 1 (cos (* 0.5 (/ y x))))) 8.132 * [taylor]: Taking taylor expansion of 1 in x 8.132 * [backup-simplify]: Simplify 1 into 1 8.133 * [backup-simplify]: Simplify (- 1) into -1 8.133 * [backup-simplify]: Simplify (+ (exp (/ 1 (cos (* 0.5 (/ y x))))) -1) into (- (exp (/ 1 (cos (* 0.5 (/ y x))))) 1) 8.133 * [backup-simplify]: Simplify (+ 1 (- (exp (/ 1 (cos (* 0.5 (/ y x))))) 1)) into (exp (/ 1 (cos (* 0.5 (/ y x))))) 8.133 * [backup-simplify]: Simplify (log (exp (/ 1 (cos (* 0.5 (/ y x)))))) into (/ 1 (cos (* 0.5 (/ y x)))) 8.133 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y 8.133 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 8.133 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 8.133 * [taylor]: Taking taylor expansion of 0.5 in y 8.134 * [backup-simplify]: Simplify 0.5 into 0.5 8.134 * [taylor]: Taking taylor expansion of (/ y x) in y 8.134 * [taylor]: Taking taylor expansion of y in y 8.134 * [backup-simplify]: Simplify 0 into 0 8.134 * [backup-simplify]: Simplify 1 into 1 8.134 * [taylor]: Taking taylor expansion of x in y 8.134 * [backup-simplify]: Simplify x into x 8.134 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.134 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 8.134 * [backup-simplify]: Simplify (/ 1 1) into 1 8.135 * [backup-simplify]: Simplify 1 into 1 8.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0 8.136 * [backup-simplify]: Simplify (* (exp (/ 1 (cos (* 0.5 (/ y x))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.137 * [backup-simplify]: Simplify (- 0) into 0 8.137 * [backup-simplify]: Simplify (+ 0 0) into 0 8.137 * [backup-simplify]: Simplify (+ 0 0) into 0 8.138 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 1 (cos (* 0.5 (/ y x))))) 1)))) 1) into 0 8.139 * [taylor]: Taking taylor expansion of 0 in y 8.139 * [backup-simplify]: Simplify 0 into 0 8.139 * [backup-simplify]: Simplify 0 into 0 8.139 * [backup-simplify]: Simplify (+ 0) into 0 8.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.140 * [backup-simplify]: Simplify 0 into 0 8.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 8.142 * [backup-simplify]: Simplify (* (exp (/ 1 (cos (* 0.5 (/ y x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.143 * [backup-simplify]: Simplify (- 0) into 0 8.143 * [backup-simplify]: Simplify (+ 0 0) into 0 8.144 * [backup-simplify]: Simplify (+ 0 0) into 0 8.146 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ 1 (cos (* 0.5 (/ y x))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ 1 (cos (* 0.5 (/ y x))))) 1)))) 2) into 0 8.146 * [taylor]: Taking taylor expansion of 0 in y 8.146 * [backup-simplify]: Simplify 0 into 0 8.146 * [backup-simplify]: Simplify 0 into 0 8.146 * [backup-simplify]: Simplify 0 into 0 8.147 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 8.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.125 (/ 1 (pow x 2))) 8.148 * [backup-simplify]: Simplify (* 0.125 (/ 1 (pow x 2))) into (/ 0.125 (pow x 2)) 8.149 * [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 8.151 * [backup-simplify]: Simplify (* (exp (/ 1 (cos (* 0.5 (/ y x))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.152 * [backup-simplify]: Simplify (- 0) into 0 8.152 * [backup-simplify]: Simplify (+ 0 0) into 0 8.152 * [backup-simplify]: Simplify (+ 0 0) into 0 8.157 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ 1 (cos (* 0.5 (/ y x))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ 1 (cos (* 0.5 (/ y x))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ 1 (cos (* 0.5 (/ y x))))) 1)))) 6) into 0 8.157 * [taylor]: Taking taylor expansion of 0 in y 8.157 * [backup-simplify]: Simplify 0 into 0 8.157 * [backup-simplify]: Simplify 0 into 0 8.157 * [backup-simplify]: Simplify 0 into 0 8.157 * [backup-simplify]: Simplify 0 into 0 8.157 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 8.158 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 8.158 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.125 (/ 1 (pow x 2))) (/ 0 1)))) into 0 8.159 * [backup-simplify]: Simplify 0 into 0 8.160 * [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 8.161 * [backup-simplify]: Simplify (* (exp (/ 1 (cos (* 0.5 (/ y x))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.162 * [backup-simplify]: Simplify (- 0) into 0 8.162 * [backup-simplify]: Simplify (+ 0 0) into 0 8.162 * [backup-simplify]: Simplify (+ 0 0) into 0 8.166 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ 1 (cos (* 0.5 (/ y x))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ 1 (cos (* 0.5 (/ y x))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ 1 (cos (* 0.5 (/ y x))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ 1 (cos (* 0.5 (/ y x))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ 1 (cos (* 0.5 (/ y x))))) 1)))) 24) into 0 8.166 * [taylor]: Taking taylor expansion of 0 in y 8.166 * [backup-simplify]: Simplify 0 into 0 8.166 * [backup-simplify]: Simplify 0 into 0 8.167 * [backup-simplify]: Simplify 0 into 0 8.167 * [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) 8.167 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 8.167 * [backup-simplify]: Simplify (/ 1 (cos (/ (/ x y) 2.0))) into (/ 1 (cos (* 0.5 (/ x y)))) 8.167 * [approximate]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ x y)))) in (x y) around 0 8.167 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ x y)))) in y 8.167 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 8.167 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 8.167 * [taylor]: Taking taylor expansion of 0.5 in y 8.167 * [backup-simplify]: Simplify 0.5 into 0.5 8.167 * [taylor]: Taking taylor expansion of (/ x y) in y 8.167 * [taylor]: Taking taylor expansion of x in y 8.167 * [backup-simplify]: Simplify x into x 8.167 * [taylor]: Taking taylor expansion of y in y 8.167 * [backup-simplify]: Simplify 0 into 0 8.167 * [backup-simplify]: Simplify 1 into 1 8.167 * [backup-simplify]: Simplify (/ x 1) into x 8.167 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 8.167 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 8.167 * [backup-simplify]: Simplify (/ 1 (cos (* 0.5 (/ x y)))) into (/ 1 (cos (* 0.5 (/ x y)))) 8.167 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ x y)))) in x 8.167 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 8.167 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 8.167 * [taylor]: Taking taylor expansion of 0.5 in x 8.167 * [backup-simplify]: Simplify 0.5 into 0.5 8.167 * [taylor]: Taking taylor expansion of (/ x y) in x 8.168 * [taylor]: Taking taylor expansion of x in x 8.168 * [backup-simplify]: Simplify 0 into 0 8.168 * [backup-simplify]: Simplify 1 into 1 8.168 * [taylor]: Taking taylor expansion of y in x 8.168 * [backup-simplify]: Simplify y into y 8.168 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.168 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 8.168 * [backup-simplify]: Simplify (/ 1 1) into 1 8.168 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ x y)))) in x 8.168 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 8.168 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 8.168 * [taylor]: Taking taylor expansion of 0.5 in x 8.168 * [backup-simplify]: Simplify 0.5 into 0.5 8.168 * [taylor]: Taking taylor expansion of (/ x y) in x 8.168 * [taylor]: Taking taylor expansion of x in x 8.168 * [backup-simplify]: Simplify 0 into 0 8.168 * [backup-simplify]: Simplify 1 into 1 8.168 * [taylor]: Taking taylor expansion of y in x 8.168 * [backup-simplify]: Simplify y into y 8.168 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.168 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 8.169 * [backup-simplify]: Simplify (/ 1 1) into 1 8.169 * [taylor]: Taking taylor expansion of 1 in y 8.169 * [backup-simplify]: Simplify 1 into 1 8.169 * [backup-simplify]: Simplify 1 into 1 8.169 * [backup-simplify]: Simplify (+ 0) into 0 8.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.170 * [taylor]: Taking taylor expansion of 0 in y 8.170 * [backup-simplify]: Simplify 0 into 0 8.170 * [backup-simplify]: Simplify 0 into 0 8.170 * [backup-simplify]: Simplify 0 into 0 8.170 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 8.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (* 0.125 (/ 1 (pow y 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.125 (/ 1 (pow y 2))) 8.171 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow y 2))) in y 8.171 * [taylor]: Taking taylor expansion of 0.125 in y 8.171 * [backup-simplify]: Simplify 0.125 into 0.125 8.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.171 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.171 * [taylor]: Taking taylor expansion of y in y 8.171 * [backup-simplify]: Simplify 0 into 0 8.171 * [backup-simplify]: Simplify 1 into 1 8.171 * [backup-simplify]: Simplify (* 1 1) into 1 8.171 * [backup-simplify]: Simplify (/ 1 1) into 1 8.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.175 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (* 0 1))) into 0 8.175 * [backup-simplify]: Simplify 0 into 0 8.175 * [backup-simplify]: Simplify 0 into 0 8.175 * [backup-simplify]: Simplify 0 into 0 8.175 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 8.175 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 8.176 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow y 2)))) 1)) (* (* 0.125 (/ 1 (pow y 2))) (/ 0 1)))) into 0 8.177 * [taylor]: Taking taylor expansion of 0 in y 8.177 * [backup-simplify]: Simplify 0 into 0 8.177 * [backup-simplify]: Simplify 0 into 0 8.177 * [backup-simplify]: Simplify 1 into 1 8.177 * [backup-simplify]: Simplify (/ 1 (cos (/ (/ (/ 1 x) (/ 1 y)) 2.0))) into (/ 1 (cos (* 0.5 (/ y x)))) 8.177 * [approximate]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in (x y) around 0 8.177 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y 8.177 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 8.177 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 8.177 * [taylor]: Taking taylor expansion of 0.5 in y 8.177 * [backup-simplify]: Simplify 0.5 into 0.5 8.177 * [taylor]: Taking taylor expansion of (/ y x) in y 8.177 * [taylor]: Taking taylor expansion of y in y 8.177 * [backup-simplify]: Simplify 0 into 0 8.177 * [backup-simplify]: Simplify 1 into 1 8.177 * [taylor]: Taking taylor expansion of x in y 8.177 * [backup-simplify]: Simplify x into x 8.177 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.177 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 8.178 * [backup-simplify]: Simplify (/ 1 1) into 1 8.178 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in x 8.178 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 8.178 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 8.178 * [taylor]: Taking taylor expansion of 0.5 in x 8.178 * [backup-simplify]: Simplify 0.5 into 0.5 8.178 * [taylor]: Taking taylor expansion of (/ y x) in x 8.178 * [taylor]: Taking taylor expansion of y in x 8.178 * [backup-simplify]: Simplify y into y 8.178 * [taylor]: Taking taylor expansion of x in x 8.178 * [backup-simplify]: Simplify 0 into 0 8.178 * [backup-simplify]: Simplify 1 into 1 8.178 * [backup-simplify]: Simplify (/ y 1) into y 8.178 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 8.178 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 8.178 * [backup-simplify]: Simplify (/ 1 (cos (* 0.5 (/ y x)))) into (/ 1 (cos (* 0.5 (/ y x)))) 8.178 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in x 8.178 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 8.178 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 8.178 * [taylor]: Taking taylor expansion of 0.5 in x 8.179 * [backup-simplify]: Simplify 0.5 into 0.5 8.179 * [taylor]: Taking taylor expansion of (/ y x) in x 8.179 * [taylor]: Taking taylor expansion of y in x 8.179 * [backup-simplify]: Simplify y into y 8.179 * [taylor]: Taking taylor expansion of x in x 8.179 * [backup-simplify]: Simplify 0 into 0 8.179 * [backup-simplify]: Simplify 1 into 1 8.179 * [backup-simplify]: Simplify (/ y 1) into y 8.179 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 8.179 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 8.179 * [backup-simplify]: Simplify (/ 1 (cos (* 0.5 (/ y x)))) into (/ 1 (cos (* 0.5 (/ y x)))) 8.179 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y 8.179 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 8.179 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 8.179 * [taylor]: Taking taylor expansion of 0.5 in y 8.179 * [backup-simplify]: Simplify 0.5 into 0.5 8.179 * [taylor]: Taking taylor expansion of (/ y x) in y 8.179 * [taylor]: Taking taylor expansion of y in y 8.179 * [backup-simplify]: Simplify 0 into 0 8.179 * [backup-simplify]: Simplify 1 into 1 8.179 * [taylor]: Taking taylor expansion of x in y 8.179 * [backup-simplify]: Simplify x into x 8.179 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.179 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 8.180 * [backup-simplify]: Simplify (/ 1 1) into 1 8.180 * [backup-simplify]: Simplify 1 into 1 8.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0 8.180 * [taylor]: Taking taylor expansion of 0 in y 8.180 * [backup-simplify]: Simplify 0 into 0 8.180 * [backup-simplify]: Simplify 0 into 0 8.180 * [backup-simplify]: Simplify (+ 0) into 0 8.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.181 * [backup-simplify]: Simplify 0 into 0 8.181 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 8.181 * [taylor]: Taking taylor expansion of 0 in y 8.181 * [backup-simplify]: Simplify 0 into 0 8.181 * [backup-simplify]: Simplify 0 into 0 8.181 * [backup-simplify]: Simplify 0 into 0 8.181 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 8.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.125 (/ 1 (pow x 2))) 8.182 * [backup-simplify]: Simplify (* 0.125 (/ 1 (pow x 2))) into (/ 0.125 (pow x 2)) 8.183 * [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 8.183 * [taylor]: Taking taylor expansion of 0 in y 8.183 * [backup-simplify]: Simplify 0 into 0 8.183 * [backup-simplify]: Simplify 0 into 0 8.183 * [backup-simplify]: Simplify 0 into 0 8.183 * [backup-simplify]: Simplify 0 into 0 8.183 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 8.183 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 8.184 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.125 (/ 1 (pow x 2))) (/ 0 1)))) into 0 8.185 * [backup-simplify]: Simplify 0 into 0 8.186 * [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 8.186 * [taylor]: Taking taylor expansion of 0 in y 8.186 * [backup-simplify]: Simplify 0 into 0 8.186 * [backup-simplify]: Simplify 0 into 0 8.186 * [backup-simplify]: Simplify 0 into 0 8.186 * [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) 8.186 * [backup-simplify]: Simplify (/ 1 (cos (/ (/ (/ 1 (- x)) (/ 1 (- y))) 2.0))) into (/ 1 (cos (* 0.5 (/ y x)))) 8.186 * [approximate]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in (x y) around 0 8.186 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y 8.186 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 8.186 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 8.186 * [taylor]: Taking taylor expansion of 0.5 in y 8.186 * [backup-simplify]: Simplify 0.5 into 0.5 8.186 * [taylor]: Taking taylor expansion of (/ y x) in y 8.186 * [taylor]: Taking taylor expansion of y in y 8.187 * [backup-simplify]: Simplify 0 into 0 8.187 * [backup-simplify]: Simplify 1 into 1 8.187 * [taylor]: Taking taylor expansion of x in y 8.187 * [backup-simplify]: Simplify x into x 8.187 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.187 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 8.187 * [backup-simplify]: Simplify (/ 1 1) into 1 8.187 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in x 8.187 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 8.187 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 8.187 * [taylor]: Taking taylor expansion of 0.5 in x 8.187 * [backup-simplify]: Simplify 0.5 into 0.5 8.187 * [taylor]: Taking taylor expansion of (/ y x) in x 8.187 * [taylor]: Taking taylor expansion of y in x 8.187 * [backup-simplify]: Simplify y into y 8.187 * [taylor]: Taking taylor expansion of x in x 8.187 * [backup-simplify]: Simplify 0 into 0 8.187 * [backup-simplify]: Simplify 1 into 1 8.187 * [backup-simplify]: Simplify (/ y 1) into y 8.187 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 8.187 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 8.188 * [backup-simplify]: Simplify (/ 1 (cos (* 0.5 (/ y x)))) into (/ 1 (cos (* 0.5 (/ y x)))) 8.188 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in x 8.188 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 8.188 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 8.188 * [taylor]: Taking taylor expansion of 0.5 in x 8.188 * [backup-simplify]: Simplify 0.5 into 0.5 8.188 * [taylor]: Taking taylor expansion of (/ y x) in x 8.188 * [taylor]: Taking taylor expansion of y in x 8.188 * [backup-simplify]: Simplify y into y 8.188 * [taylor]: Taking taylor expansion of x in x 8.188 * [backup-simplify]: Simplify 0 into 0 8.188 * [backup-simplify]: Simplify 1 into 1 8.188 * [backup-simplify]: Simplify (/ y 1) into y 8.188 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 8.188 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 8.188 * [backup-simplify]: Simplify (/ 1 (cos (* 0.5 (/ y x)))) into (/ 1 (cos (* 0.5 (/ y x)))) 8.188 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y 8.188 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 8.188 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 8.188 * [taylor]: Taking taylor expansion of 0.5 in y 8.188 * [backup-simplify]: Simplify 0.5 into 0.5 8.188 * [taylor]: Taking taylor expansion of (/ y x) in y 8.188 * [taylor]: Taking taylor expansion of y in y 8.188 * [backup-simplify]: Simplify 0 into 0 8.188 * [backup-simplify]: Simplify 1 into 1 8.188 * [taylor]: Taking taylor expansion of x in y 8.188 * [backup-simplify]: Simplify x into x 8.188 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.188 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 8.189 * [backup-simplify]: Simplify (/ 1 1) into 1 8.189 * [backup-simplify]: Simplify 1 into 1 8.189 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0 8.189 * [taylor]: Taking taylor expansion of 0 in y 8.189 * [backup-simplify]: Simplify 0 into 0 8.189 * [backup-simplify]: Simplify 0 into 0 8.189 * [backup-simplify]: Simplify (+ 0) into 0 8.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.190 * [backup-simplify]: Simplify 0 into 0 8.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 8.190 * [taylor]: Taking taylor expansion of 0 in y 8.190 * [backup-simplify]: Simplify 0 into 0 8.190 * [backup-simplify]: Simplify 0 into 0 8.190 * [backup-simplify]: Simplify 0 into 0 8.190 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 8.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.125 (/ 1 (pow x 2))) 8.191 * [backup-simplify]: Simplify (* 0.125 (/ 1 (pow x 2))) into (/ 0.125 (pow x 2)) 8.192 * [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 8.192 * [taylor]: Taking taylor expansion of 0 in y 8.192 * [backup-simplify]: Simplify 0 into 0 8.192 * [backup-simplify]: Simplify 0 into 0 8.192 * [backup-simplify]: Simplify 0 into 0 8.192 * [backup-simplify]: Simplify 0 into 0 8.192 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 8.192 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 8.193 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.125 (/ 1 (pow x 2))) (/ 0 1)))) into 0 8.194 * [backup-simplify]: Simplify 0 into 0 8.194 * [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 8.194 * [taylor]: Taking taylor expansion of 0 in y 8.194 * [backup-simplify]: Simplify 0 into 0 8.194 * [backup-simplify]: Simplify 0 into 0 8.194 * [backup-simplify]: Simplify 0 into 0 8.195 * [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) 8.195 * * * [progress]: simplifying candidates 8.196 * [simplify]: Simplifying: (expm1 (cos (/ (/ x y) 2.0))) (log1p (cos (/ (/ x y) 2.0))) (log (cos (/ (/ x y) 2.0))) (exp (cos (/ (/ x y) 2.0))) (* (cbrt (cos (/ (/ x y) 2.0))) (cbrt (cos (/ (/ x y) 2.0)))) (cbrt (cos (/ (/ x y) 2.0))) (* (* (cos (/ (/ x y) 2.0)) (cos (/ (/ x y) 2.0))) (cos (/ (/ x y) 2.0))) (sqrt (cos (/ (/ x y) 2.0))) (sqrt (cos (/ (/ x y) 2.0))) (exp (/ 1 (cos (/ (/ x y) 2.0)))) (expm1 (expm1 (/ 1 (cos (/ (/ x y) 2.0))))) (log1p (expm1 (/ 1 (cos (/ (/ x y) 2.0))))) (log (expm1 (/ 1 (cos (/ (/ x y) 2.0))))) (exp (expm1 (/ 1 (cos (/ (/ x y) 2.0))))) (* (cbrt (expm1 (/ 1 (cos (/ (/ x y) 2.0))))) (cbrt (expm1 (/ 1 (cos (/ (/ x y) 2.0)))))) (cbrt (expm1 (/ 1 (cos (/ (/ x y) 2.0))))) (* (* (expm1 (/ 1 (cos (/ (/ x y) 2.0)))) (expm1 (/ 1 (cos (/ (/ x y) 2.0))))) (expm1 (/ 1 (cos (/ (/ x y) 2.0))))) (sqrt (expm1 (/ 1 (cos (/ (/ x y) 2.0))))) (sqrt (expm1 (/ 1 (cos (/ (/ x y) 2.0))))) (+ 1 (expm1 (/ 1 (cos (/ (/ x y) 2.0))))) (expm1 (log1p (expm1 (/ 1 (cos (/ (/ x y) 2.0)))))) (log1p (log1p (expm1 (/ 1 (cos (/ (/ x y) 2.0)))))) (log (log1p (expm1 (/ 1 (cos (/ (/ x y) 2.0)))))) (exp (log1p (expm1 (/ 1 (cos (/ (/ x y) 2.0)))))) (* (cbrt (log1p (expm1 (/ 1 (cos (/ (/ x y) 2.0)))))) (cbrt (log1p (expm1 (/ 1 (cos (/ (/ x y) 2.0))))))) (cbrt (log1p (expm1 (/ 1 (cos (/ (/ x y) 2.0)))))) (* (* (log1p (expm1 (/ 1 (cos (/ (/ x y) 2.0))))) (log1p (expm1 (/ 1 (cos (/ (/ x y) 2.0)))))) (log1p (expm1 (/ 1 (cos (/ (/ x y) 2.0)))))) (sqrt (log1p (expm1 (/ 1 (cos (/ (/ x y) 2.0)))))) (sqrt (log1p (expm1 (/ 1 (cos (/ (/ x y) 2.0)))))) (expm1 (/ 1 (cos (/ (/ x y) 2.0)))) (log1p (/ 1 (cos (/ (/ x y) 2.0)))) (- 1) (- (log (cos (/ (/ x y) 2.0)))) (- 0 (log (cos (/ (/ x y) 2.0)))) (- (log 1) (log (cos (/ (/ x y) 2.0)))) (log (/ 1 (cos (/ (/ x y) 2.0)))) (exp (/ 1 (cos (/ (/ x y) 2.0)))) (/ (* (* 1 1) 1) (* (* (cos (/ (/ x y) 2.0)) (cos (/ (/ x y) 2.0))) (cos (/ (/ x y) 2.0)))) (* (cbrt (/ 1 (cos (/ (/ x y) 2.0)))) (cbrt (/ 1 (cos (/ (/ x y) 2.0))))) (cbrt (/ 1 (cos (/ (/ x y) 2.0)))) (* (* (/ 1 (cos (/ (/ x y) 2.0))) (/ 1 (cos (/ (/ x y) 2.0)))) (/ 1 (cos (/ (/ x y) 2.0)))) (sqrt (/ 1 (cos (/ (/ x y) 2.0)))) (sqrt (/ 1 (cos (/ (/ x y) 2.0)))) (- 1) (- (cos (/ (/ x y) 2.0))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (cos (/ (/ x y) 2.0))) (cbrt (cos (/ (/ x y) 2.0))))) (/ (cbrt 1) (cbrt (cos (/ (/ x y) 2.0)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (cos (/ (/ x y) 2.0)))) (/ (cbrt 1) (sqrt (cos (/ (/ x y) 2.0)))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (cos (/ (/ x y) 2.0))) (/ (sqrt 1) (* (cbrt (cos (/ (/ x y) 2.0))) (cbrt (cos (/ (/ x y) 2.0))))) (/ (sqrt 1) (cbrt (cos (/ (/ x y) 2.0)))) (/ (sqrt 1) (sqrt (cos (/ (/ x y) 2.0)))) (/ (sqrt 1) (sqrt (cos (/ (/ x y) 2.0)))) (/ (sqrt 1) 1) (/ (sqrt 1) (cos (/ (/ 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 (sqrt (cos (/ (/ x y) 2.0)))) (/ 1 (sqrt (cos (/ (/ x y) 2.0)))) (/ 1 1) (/ 1 (cos (/ (/ x y) 2.0))) (/ 1 (cos (/ (/ x y) 2.0))) (/ (cos (/ (/ x y) 2.0)) 1) (/ 1 (* (cbrt (cos (/ (/ x y) 2.0))) (cbrt (cos (/ (/ x y) 2.0))))) (/ 1 (sqrt (cos (/ (/ x y) 2.0)))) (/ 1 1) (/ (cos (/ (/ x y) 2.0)) (cbrt 1)) (/ (cos (/ (/ x y) 2.0)) (sqrt 1)) (/ (cos (/ (/ x y) 2.0)) 1) 1 (- 1 (* 0.125 (/ (pow x 2) (pow y 2)))) (- 1 (* 0.125 (/ (pow x 2) (pow y 2)))) (- E 1) (- (+ E (* 0.125 (/ (* (pow x 2) E) (pow y 2)))) 1) (- (+ E (* 0.125 (/ (* (pow x 2) E) (pow y 2)))) 1) 1 (+ (* 0.125 (/ (pow x 2) (pow y 2))) 1) (+ (* 0.125 (/ (pow x 2) (pow y 2))) 1) 1 (+ (* 0.125 (/ (pow x 2) (pow y 2))) 1) (+ (* 0.125 (/ (pow x 2) (pow y 2))) 1) 8.197 * * [simplify]: iteration 0: 91 enodes 8.232 * * [simplify]: iteration 1: 158 enodes 8.260 * * [simplify]: iteration 2: 290 enodes 8.375 * * [simplify]: iteration 3: 671 enodes 8.692 * * [simplify]: iteration 4: 1590 enodes 10.819 * * [simplify]: iteration 5: 4354 enodes 12.476 * * [simplify]: iteration complete: 5000 enodes 12.476 * * [simplify]: Extracting #0: cost 36 inf + 0 12.478 * * [simplify]: Extracting #1: cost 240 inf + 2 12.481 * * [simplify]: Extracting #2: cost 589 inf + 215 12.491 * * [simplify]: Extracting #3: cost 402 inf + 30665 12.532 * * [simplify]: Extracting #4: cost 15 inf + 82343 12.571 * * [simplify]: Extracting #5: cost 0 inf + 85065 12.628 * [simplify]: Simplified to: (expm1 (cos (/ (/ x y) 2.0))) (log1p (cos (/ (/ x y) 2.0))) (log (cos (/ (/ x y) 2.0))) (exp (cos (/ (/ x y) 2.0))) (* (cbrt (cos (/ (/ x y) 2.0))) (cbrt (cos (/ (/ x y) 2.0)))) (cbrt (cos (/ (/ x y) 2.0))) (* (* (cos (/ (/ x y) 2.0)) (cos (/ (/ x y) 2.0))) (cos (/ (/ x y) 2.0))) (sqrt (cos (/ (/ x y) 2.0))) (sqrt (cos (/ (/ x y) 2.0))) (exp (/ 1 (cos (/ (/ x y) 2.0)))) (expm1 (expm1 (/ 1 (cos (/ (/ x y) 2.0))))) (/ 1 (cos (/ (/ x y) 2.0))) (log (expm1 (/ 1 (cos (/ (/ x y) 2.0))))) (exp (expm1 (/ 1 (cos (/ (/ x y) 2.0))))) (* (cbrt (expm1 (/ 1 (cos (/ (/ x y) 2.0))))) (cbrt (expm1 (/ 1 (cos (/ (/ x y) 2.0)))))) (cbrt (expm1 (/ 1 (cos (/ (/ x y) 2.0))))) (* (* (expm1 (/ 1 (cos (/ (/ x y) 2.0)))) (expm1 (/ 1 (cos (/ (/ x y) 2.0))))) (expm1 (/ 1 (cos (/ (/ x y) 2.0))))) (sqrt (expm1 (/ 1 (cos (/ (/ x y) 2.0))))) (sqrt (expm1 (/ 1 (cos (/ (/ x y) 2.0))))) (+ 1 (expm1 (/ 1 (cos (/ (/ x y) 2.0))))) (expm1 (/ 1 (cos (/ (/ x y) 2.0)))) (log1p (/ 1 (cos (/ (/ x y) 2.0)))) (- (log (cos (/ (/ x y) 2.0)))) (exp (/ 1 (cos (/ (/ x y) 2.0)))) (* (cbrt (/ 1 (cos (/ (/ x y) 2.0)))) (cbrt (/ 1 (cos (/ (/ x y) 2.0))))) (cbrt (/ 1 (cos (/ (/ x y) 2.0)))) (/ (/ (/ 1 (cos (/ (/ x y) 2.0))) (cos (/ (/ x y) 2.0))) (cos (/ (/ x y) 2.0))) (sqrt (/ 1 (cos (/ (/ x y) 2.0)))) (sqrt (/ 1 (cos (/ (/ x y) 2.0)))) (expm1 (/ 1 (cos (/ (/ x y) 2.0)))) (log1p (/ 1 (cos (/ (/ x y) 2.0)))) -1 (- (log (cos (/ (/ x y) 2.0)))) (- (log (cos (/ (/ x y) 2.0)))) (- (log (cos (/ (/ x y) 2.0)))) (- (log (cos (/ (/ x y) 2.0)))) (exp (/ 1 (cos (/ (/ x y) 2.0)))) (/ (/ (/ 1 (cos (/ (/ x y) 2.0))) (cos (/ (/ x y) 2.0))) (cos (/ (/ x y) 2.0))) (* (cbrt (/ 1 (cos (/ (/ x y) 2.0)))) (cbrt (/ 1 (cos (/ (/ x y) 2.0))))) (cbrt (/ 1 (cos (/ (/ x y) 2.0)))) (/ (/ (/ 1 (cos (/ (/ x y) 2.0))) (cos (/ (/ x y) 2.0))) (cos (/ (/ x y) 2.0))) (sqrt (/ 1 (cos (/ (/ x y) 2.0)))) (sqrt (/ 1 (cos (/ (/ x y) 2.0)))) -1 (- (cos (/ (/ x y) 2.0))) (* (/ 1 (cbrt (cos (/ (/ x y) 2.0)))) (/ 1 (cbrt (cos (/ (/ x y) 2.0))))) (/ 1 (cbrt (cos (/ (/ x y) 2.0)))) (/ 1 (sqrt (cos (/ (/ x y) 2.0)))) (/ 1 (sqrt (cos (/ (/ x y) 2.0)))) 1 (/ 1 (cos (/ (/ x y) 2.0))) (* (/ 1 (cbrt (cos (/ (/ x y) 2.0)))) (/ 1 (cbrt (cos (/ (/ x y) 2.0))))) (/ 1 (cbrt (cos (/ (/ x y) 2.0)))) (/ 1 (sqrt (cos (/ (/ x y) 2.0)))) (/ 1 (sqrt (cos (/ (/ x y) 2.0)))) 1 (/ 1 (cos (/ (/ x y) 2.0))) (* (/ 1 (cbrt (cos (/ (/ x y) 2.0)))) (/ 1 (cbrt (cos (/ (/ x y) 2.0))))) (/ 1 (cbrt (cos (/ (/ x y) 2.0)))) (/ 1 (sqrt (cos (/ (/ x y) 2.0)))) (/ 1 (sqrt (cos (/ (/ x y) 2.0)))) 1 (/ 1 (cos (/ (/ x y) 2.0))) (/ 1 (cos (/ (/ x y) 2.0))) (cos (/ (/ x y) 2.0)) (* (/ 1 (cbrt (cos (/ (/ x y) 2.0)))) (/ 1 (cbrt (cos (/ (/ x y) 2.0))))) (/ 1 (sqrt (cos (/ (/ x y) 2.0)))) 1 (cos (/ (/ x y) 2.0)) (cos (/ (/ x y) 2.0)) (cos (/ (/ x y) 2.0)) 1 (- 1 (* 0.125 (* (/ x y) (/ x y)))) (- 1 (* 0.125 (* (/ x y) (/ x y)))) (+ E -1) (fma E (fma 0.125 (* (/ x y) (/ x y)) 1) -1) (fma E (fma 0.125 (* (/ x y) (/ x y)) 1) -1) 1 (fma 0.125 (* (/ x y) (/ x y)) 1) (fma 0.125 (* (/ x y) (/ x y)) 1) 1 (fma 0.125 (* (/ x y) (/ x y)) 1) (fma 0.125 (* (/ x y) (/ x y)) 1) 12.635 * * * [progress]: adding candidates to table 13.014 * [progress]: [Phase 3 of 3] Extracting. 13.014 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # # # # # # # # #) 13.021 * * * [regime-changes]: Trying 4 branch expressions: ((* y 2.0) (/ x (* y 2.0)) y x) 13.021 * * * * [regimes]: Trying to branch on (* y 2.0) from (# # # # # # # # # # # # # # # # # # # # # # # # #) 13.225 * * * * [regimes]: Trying to branch on (/ x (* y 2.0)) from (# # # # # # # # # # # # # # # # # # # # # # # # #) 13.460 * * * * [regimes]: Trying to branch on y from (# # # # # # # # # # # # # # # # # # # # # # # # #) 13.662 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # # # # # # # # # # # # #) 13.833 * * * [regime]: Found split indices: #