15.522 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.128 * * * [progress]: [2/2] Setting up program. 0.133 * [progress]: [Phase 2 of 3] Improving. 0.133 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.133 * [simplify]: Simplifying: (/ (- 1 (cos x)) (* x x)) 0.133 * * [simplify]: iteration 0: 6 enodes 0.136 * * [simplify]: iteration 1: 15 enodes 0.141 * * [simplify]: iteration 2: 23 enodes 0.147 * * [simplify]: iteration 3: 28 enodes 0.155 * * [simplify]: iteration 4: 30 enodes 0.163 * * [simplify]: iteration complete: 30 enodes 0.163 * * [simplify]: Extracting #0: cost 1 inf + 0 0.163 * * [simplify]: Extracting #1: cost 8 inf + 0 0.163 * * [simplify]: Extracting #2: cost 12 inf + 42 0.163 * * [simplify]: Extracting #3: cost 7 inf + 447 0.163 * * [simplify]: Extracting #4: cost 0 inf + 1319 0.164 * [simplify]: Simplified to: (/ (- 1 (cos x)) (* x x)) 0.165 * * [progress]: iteration 1 / 4 0.165 * * * [progress]: picking best candidate 0.186 * * * * [pick]: Picked # 0.186 * * * [progress]: localizing error 0.207 * * * [progress]: generating rewritten candidates 0.207 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.245 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.254 * * * [progress]: generating series expansions 0.254 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.258 * [backup-simplify]: Simplify (/ (- 1 (cos x)) (* x x)) into (/ (- 1 (cos x)) (pow x 2)) 0.258 * [approximate]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in (x) around 0 0.259 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in x 0.259 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.259 * [taylor]: Taking taylor expansion of 1 in x 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [taylor]: Taking taylor expansion of (cos x) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.260 * [backup-simplify]: Simplify (- 1) into -1 0.261 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.262 * [backup-simplify]: Simplify (+ 0) into 0 0.263 * [backup-simplify]: Simplify (- 0) into 0 0.263 * [backup-simplify]: Simplify (+ 0 0) into 0 0.264 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.264 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.264 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.265 * [backup-simplify]: Simplify (* 1 1) into 1 0.265 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.265 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (pow x 2)) in x 0.265 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.265 * [taylor]: Taking taylor expansion of 1 in x 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [taylor]: Taking taylor expansion of (cos x) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify (- 1) into -1 0.266 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.266 * [backup-simplify]: Simplify (+ 0) into 0 0.266 * [backup-simplify]: Simplify (- 0) into 0 0.267 * [backup-simplify]: Simplify (+ 0 0) into 0 0.268 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.268 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.268 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.269 * [backup-simplify]: Simplify (* 1 1) into 1 0.269 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.270 * [backup-simplify]: Simplify 1/2 into 1/2 0.272 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.272 * [backup-simplify]: Simplify (- 0) into 0 0.272 * [backup-simplify]: Simplify (+ 0 0) into 0 0.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.274 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 0.278 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.278 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.281 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 0.281 * [backup-simplify]: Simplify -1/24 into -1/24 0.283 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.284 * [backup-simplify]: Simplify (- 0) into 0 0.284 * [backup-simplify]: Simplify (+ 0 0) into 0 0.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 0.302 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.303 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.306 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.306 * [backup-simplify]: Simplify 1/720 into 1/720 0.310 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 0.311 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (* (pow x 2) (- 1 (cos (/ 1 x)))) 0.311 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in (x) around 0 0.311 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in x 0.311 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 1 into 1 0.311 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.311 * [taylor]: Taking taylor expansion of 1 in x 0.311 * [backup-simplify]: Simplify 1 into 1 0.311 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.311 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 1 into 1 0.312 * [backup-simplify]: Simplify (/ 1 1) into 1 0.312 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.312 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ 1 x)))) in x 0.312 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 1 into 1 0.313 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.313 * [taylor]: Taking taylor expansion of 1 in x 0.313 * [backup-simplify]: Simplify 1 into 1 0.313 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (/ 1 1) into 1 0.313 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.314 * [backup-simplify]: Simplify (* 1 1) into 1 0.314 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.314 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.314 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.314 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.315 * [backup-simplify]: Simplify (- 0) into 0 0.315 * [backup-simplify]: Simplify (+ 0 0) into 0 0.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1 (cos (/ 1 x))))) into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify (- 0) into 0 0.317 * [backup-simplify]: Simplify (+ 0 0) into 0 0.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))) into 0 0.319 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify (- 0) into 0 0.320 * [backup-simplify]: Simplify (+ 0 0) into 0 0.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x))))))) into 0 0.322 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify (- 0) into 0 0.323 * [backup-simplify]: Simplify (+ 0 0) into 0 0.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))))) into 0 0.326 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify (- 0) into 0 0.327 * [backup-simplify]: Simplify (+ 0 0) into 0 0.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x))))))))) into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify (- 0) into 0 0.331 * [backup-simplify]: Simplify (+ 0 0) into 0 0.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ 1 x)))))))))) into 0 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify (* (- 1 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1 (cos x)) (pow x 2)) 0.336 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* (pow x 2) (- 1 (cos (/ -1 x)))) 0.336 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in (x) around 0 0.336 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in x 0.336 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.336 * [taylor]: Taking taylor expansion of 1 in x 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.336 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.336 * [taylor]: Taking taylor expansion of -1 in x 0.336 * [backup-simplify]: Simplify -1 into -1 0.336 * [taylor]: Taking taylor expansion of x in x 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 1 into 1 0.337 * [backup-simplify]: Simplify (/ -1 1) into -1 0.337 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.337 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1 (cos (/ -1 x)))) in x 0.337 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 1 into 1 0.337 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.337 * [taylor]: Taking taylor expansion of 1 in x 0.337 * [backup-simplify]: Simplify 1 into 1 0.337 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.337 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.337 * [taylor]: Taking taylor expansion of -1 in x 0.337 * [backup-simplify]: Simplify -1 into -1 0.337 * [taylor]: Taking taylor expansion of x in x 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [backup-simplify]: Simplify (/ -1 1) into -1 0.338 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.339 * [backup-simplify]: Simplify (* 1 1) into 1 0.339 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.339 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.339 * [backup-simplify]: Simplify (* 1 (- 1 (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.339 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x))) 0.339 * [backup-simplify]: Simplify (- 0) into 0 0.340 * [backup-simplify]: Simplify (+ 0 0) into 0 0.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1 (cos (/ -1 x))))) into 0 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify (- 0) into 0 0.342 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))) into 0 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify (- 0) into 0 0.344 * [backup-simplify]: Simplify (+ 0 0) into 0 0.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x))))))) into 0 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify (- 0) into 0 0.348 * [backup-simplify]: Simplify (+ 0 0) into 0 0.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))))) into 0 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify (- 0) into 0 0.352 * [backup-simplify]: Simplify (+ 0 0) into 0 0.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x))))))))) into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify (- 0) into 0 0.356 * [backup-simplify]: Simplify (+ 0 0) into 0 0.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (cos (/ -1 x)))))))))) into 0 0.360 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify (* (- 1 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1 (cos x)) (pow x 2)) 0.361 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.361 * [backup-simplify]: Simplify (- 1 (cos x)) into (- 1 (cos x)) 0.361 * [approximate]: Taking taylor expansion of (- 1 (cos x)) in (x) around 0 0.361 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.361 * [taylor]: Taking taylor expansion of 1 in x 0.361 * [backup-simplify]: Simplify 1 into 1 0.361 * [taylor]: Taking taylor expansion of (cos x) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 1 into 1 0.361 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 0.361 * [taylor]: Taking taylor expansion of 1 in x 0.361 * [backup-simplify]: Simplify 1 into 1 0.361 * [taylor]: Taking taylor expansion of (cos x) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 1 into 1 0.362 * [backup-simplify]: Simplify (- 1) into -1 0.362 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.362 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify (+ 0) into 0 0.363 * [backup-simplify]: Simplify (- 0) into 0 0.363 * [backup-simplify]: Simplify (+ 0 0) into 0 0.363 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.365 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.365 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.365 * [backup-simplify]: Simplify 1/2 into 1/2 0.367 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.367 * [backup-simplify]: Simplify (- 0) into 0 0.367 * [backup-simplify]: Simplify (+ 0 0) into 0 0.367 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 0.369 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.369 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.369 * [backup-simplify]: Simplify -1/24 into -1/24 0.371 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.371 * [backup-simplify]: Simplify (- 0) into 0 0.371 * [backup-simplify]: Simplify (+ 0 0) into 0 0.371 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 0.374 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.374 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.375 * [backup-simplify]: Simplify 1/720 into 1/720 0.375 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 0.375 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.375 * [approximate]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in (x) around 0 0.375 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.375 * [taylor]: Taking taylor expansion of 1 in x 0.375 * [backup-simplify]: Simplify 1 into 1 0.375 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.375 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 1 into 1 0.375 * [backup-simplify]: Simplify (/ 1 1) into 1 0.375 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.375 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 0.375 * [taylor]: Taking taylor expansion of 1 in x 0.375 * [backup-simplify]: Simplify 1 into 1 0.375 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.375 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 1 into 1 0.376 * [backup-simplify]: Simplify (/ 1 1) into 1 0.376 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.376 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.376 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 0.376 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 0.376 * [backup-simplify]: Simplify (- 0) into 0 0.377 * [backup-simplify]: Simplify (+ 0 0) into 0 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify (- 0) into 0 0.377 * [backup-simplify]: Simplify (+ 0 0) into 0 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify (- 0) into 0 0.378 * [backup-simplify]: Simplify (+ 0 0) into 0 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify (- 0) into 0 0.378 * [backup-simplify]: Simplify (+ 0 0) into 0 0.378 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify (- 0) into 0 0.379 * [backup-simplify]: Simplify (+ 0 0) into 0 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify (- 0) into 0 0.379 * [backup-simplify]: Simplify (+ 0 0) into 0 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (/ 1 x)))) into (- 1 (cos x)) 0.379 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (- x)))) into (- 1 (cos (/ -1 x))) 0.379 * [approximate]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in (x) around 0 0.380 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.380 * [taylor]: Taking taylor expansion of 1 in x 0.380 * [backup-simplify]: Simplify 1 into 1 0.380 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.380 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.380 * [taylor]: Taking taylor expansion of -1 in x 0.380 * [backup-simplify]: Simplify -1 into -1 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 1 into 1 0.380 * [backup-simplify]: Simplify (/ -1 1) into -1 0.380 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.380 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 0.380 * [taylor]: Taking taylor expansion of 1 in x 0.380 * [backup-simplify]: Simplify 1 into 1 0.380 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.380 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.380 * [taylor]: Taking taylor expansion of -1 in x 0.380 * [backup-simplify]: Simplify -1 into -1 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 1 into 1 0.380 * [backup-simplify]: Simplify (/ -1 1) into -1 0.380 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.381 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.381 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 0.381 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x))) 0.381 * [backup-simplify]: Simplify (- 0) into 0 0.381 * [backup-simplify]: Simplify (+ 0 0) into 0 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify (- 0) into 0 0.382 * [backup-simplify]: Simplify (+ 0 0) into 0 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify (- 0) into 0 0.382 * [backup-simplify]: Simplify (+ 0 0) into 0 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify (- 0) into 0 0.383 * [backup-simplify]: Simplify (+ 0 0) into 0 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify (- 0) into 0 0.383 * [backup-simplify]: Simplify (+ 0 0) into 0 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify (- 0) into 0 0.384 * [backup-simplify]: Simplify (+ 0 0) into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify (- 1 (cos (/ -1 (/ 1 (- x))))) into (- 1 (cos x)) 0.384 * * * [progress]: simplifying candidates 0.384 * * * * [progress]: [ 1 / 69 ] simplifiying candidate # 0.384 * * * * [progress]: [ 2 / 69 ] simplifiying candidate # 0.384 * * * * [progress]: [ 3 / 69 ] simplifiying candidate # 0.384 * * * * [progress]: [ 4 / 69 ] simplifiying candidate # 0.384 * * * * [progress]: [ 5 / 69 ] simplifiying candidate # 0.384 * * * * [progress]: [ 6 / 69 ] simplifiying candidate # 0.384 * * * * [progress]: [ 7 / 69 ] simplifiying candidate # 0.384 * * * * [progress]: [ 8 / 69 ] simplifiying candidate # 0.384 * * * * [progress]: [ 9 / 69 ] simplifiying candidate # 0.384 * * * * [progress]: [ 10 / 69 ] simplifiying candidate # 0.384 * * * * [progress]: [ 11 / 69 ] simplifiying candidate # 0.384 * * * * [progress]: [ 12 / 69 ] simplifiying candidate # 0.384 * * * * [progress]: [ 13 / 69 ] simplifiying candidate # 0.384 * * * * [progress]: [ 14 / 69 ] simplifiying candidate # 0.384 * * * * [progress]: [ 15 / 69 ] simplifiying candidate # 0.385 * * * * [progress]: [ 16 / 69 ] simplifiying candidate # 0.385 * * * * [progress]: [ 17 / 69 ] simplifiying candidate # 0.385 * * * * [progress]: [ 18 / 69 ] simplifiying candidate # 0.385 * * * * [progress]: [ 19 / 69 ] simplifiying candidate # 0.385 * * * * [progress]: [ 20 / 69 ] simplifiying candidate # 0.385 * * * * [progress]: [ 21 / 69 ] simplifiying candidate # 0.385 * * * * [progress]: [ 22 / 69 ] simplifiying candidate # 0.385 * * * * [progress]: [ 23 / 69 ] simplifiying candidate # 0.385 * * * * [progress]: [ 24 / 69 ] simplifiying candidate # 0.385 * * * * [progress]: [ 25 / 69 ] simplifiying candidate # 0.385 * * * * [progress]: [ 26 / 69 ] simplifiying candidate # 0.385 * * * * [progress]: [ 27 / 69 ] simplifiying candidate # 0.385 * * * * [progress]: [ 28 / 69 ] simplifiying candidate # 0.385 * * * * [progress]: [ 29 / 69 ] simplifiying candidate # 0.385 * * * * [progress]: [ 30 / 69 ] simplifiying candidate # 0.385 * * * * [progress]: [ 31 / 69 ] simplifiying candidate # 0.385 * * * * [progress]: [ 32 / 69 ] simplifiying candidate # 0.385 * * * * [progress]: [ 33 / 69 ] simplifiying candidate #real (real->posit16 (/ (- 1 (cos x)) (* x x)))))> 0.385 * * * * [progress]: [ 34 / 69 ] simplifiying candidate # 0.385 * * * * [progress]: [ 35 / 69 ] simplifiying candidate # 0.385 * * * * [progress]: [ 36 / 69 ] simplifiying candidate # 0.385 * * * * [progress]: [ 37 / 69 ] simplifiying candidate # 0.385 * * * * [progress]: [ 38 / 69 ] simplifiying candidate # 0.385 * * * * [progress]: [ 39 / 69 ] simplifiying candidate # 0.385 * * * * [progress]: [ 40 / 69 ] simplifiying candidate # 0.385 * * * * [progress]: [ 41 / 69 ] simplifiying candidate # 0.386 * * * * [progress]: [ 42 / 69 ] simplifiying candidate # 0.386 * * * * [progress]: [ 43 / 69 ] simplifiying candidate # 0.386 * * * * [progress]: [ 44 / 69 ] simplifiying candidate # 0.386 * * * * [progress]: [ 45 / 69 ] simplifiying candidate # 0.386 * * * * [progress]: [ 46 / 69 ] simplifiying candidate # 0.386 * * * * [progress]: [ 47 / 69 ] simplifiying candidate # 0.386 * * * * [progress]: [ 48 / 69 ] simplifiying candidate # 0.386 * * * * [progress]: [ 49 / 69 ] simplifiying candidate # 0.386 * * * * [progress]: [ 50 / 69 ] simplifiying candidate # 0.386 * * * * [progress]: [ 51 / 69 ] simplifiying candidate # 0.386 * * * * [progress]: [ 52 / 69 ] simplifiying candidate # 0.386 * * * * [progress]: [ 53 / 69 ] simplifiying candidate # 0.386 * * * * [progress]: [ 54 / 69 ] simplifiying candidate # 0.386 * * * * [progress]: [ 55 / 69 ] simplifiying candidate # 0.386 * * * * [progress]: [ 56 / 69 ] simplifiying candidate # 0.386 * * * * [progress]: [ 57 / 69 ] simplifiying candidate # 0.386 * * * * [progress]: [ 58 / 69 ] simplifiying candidate # 0.386 * * * * [progress]: [ 59 / 69 ] simplifiying candidate # 0.386 * * * * [progress]: [ 60 / 69 ] simplifiying candidate # 0.386 * * * * [progress]: [ 61 / 69 ] simplifiying candidate # 0.386 * * * * [progress]: [ 62 / 69 ] simplifiying candidate # 0.386 * * * * [progress]: [ 63 / 69 ] simplifiying candidate #real (real->posit16 (- 1 (cos x)))) (* x x)))> 0.386 * * * * [progress]: [ 64 / 69 ] simplifiying candidate # 0.386 * * * * [progress]: [ 65 / 69 ] simplifiying candidate # 0.386 * * * * [progress]: [ 66 / 69 ] simplifiying candidate # 0.386 * * * * [progress]: [ 67 / 69 ] simplifiying candidate # 0.386 * * * * [progress]: [ 68 / 69 ] simplifiying candidate # 0.386 * * * * [progress]: [ 69 / 69 ] simplifiying candidate # 0.388 * [simplify]: Simplifying: (expm1 (/ (- 1 (cos x)) (* x x))) (log1p (/ (- 1 (cos x)) (* x x))) (- (log (- 1 (cos x))) (+ (log x) (log x))) (- (log (- 1 (cos x))) (log (* x x))) (log (/ (- 1 (cos x)) (* x x))) (exp (/ (- 1 (cos x)) (* x x))) (/ (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (- 1 (cos x)) (* x x))) (cbrt (/ (- 1 (cos x)) (* x x)))) (cbrt (/ (- 1 (cos x)) (* x x))) (* (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x))) (/ (- 1 (cos x)) (* x x))) (sqrt (/ (- 1 (cos x)) (* x x))) (sqrt (/ (- 1 (cos x)) (* x x))) (- (- 1 (cos x))) (- (* x x)) (/ 1 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) x) (/ (cbrt (- 1 (cos x))) x) (/ (sqrt (- 1 (cos x))) x) (/ (sqrt (- 1 (cos x))) x) (/ 1 x) (/ (- 1 (cos x)) x) (/ (+ (sqrt 1) (sqrt (cos x))) x) (/ (- (sqrt 1) (sqrt (cos x))) x) (/ (+ 1 (sqrt (cos x))) x) (/ (- 1 (sqrt (cos x))) x) (/ 1 x) (/ (- 1 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1 (cos x))) (/ (- 1 (cos x)) x) (/ (* x x) (cbrt (- 1 (cos x)))) (/ (* x x) (sqrt (- 1 (cos x)))) (/ (* x x) (- 1 (cos x))) (/ (* x x) (- (sqrt 1) (sqrt (cos x)))) (/ (* x x) (- 1 (sqrt (cos x)))) (/ (* x x) (- 1 (cos x))) (* (* x x) (+ (* 1 1) (+ (* (cos x) (cos x)) (* 1 (cos x))))) (* (* x x) (+ 1 (cos x))) (real->posit16 (/ (- 1 (cos x)) (* x x))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1) (sqrt 1) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1) (sqrt 1) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1 (cos x))) (log1p (- 1 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ (exp 1) (exp (cos x))) (log (- 1 (cos x))) (exp (- 1 (cos x))) (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) (cbrt (- 1 (cos x))) (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (sqrt (- 1 (cos x))) (sqrt (- 1 (cos x))) (- (pow 1 3) (pow (cos x) 3)) (+ (* 1 1) (+ (* (cos x) (cos x)) (* 1 (cos x)))) (- (cos x)) (- (* 1 1) (* (cos x) (cos x))) (+ 1 (cos x)) (+ (sqrt 1) (sqrt (cos x))) (- (sqrt 1) (sqrt (cos x))) (+ 1 (sqrt (cos x))) (- 1 (sqrt (cos x))) (- 1 (cos x)) (- (cos x)) (real->posit16 (- 1 (cos x))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1 (cos x)) (pow x 2)) (/ (- 1 (cos x)) (pow x 2)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1 (cos x)) (- 1 (cos x)) 0.390 * * [simplify]: iteration 0: 121 enodes 0.464 * * [simplify]: iteration 1: 295 enodes 0.614 * * [simplify]: iteration 2: 867 enodes 1.609 * * [simplify]: iteration 3: 4370 enodes 2.950 * * [simplify]: iteration complete: 5001 enodes 2.950 * * [simplify]: Extracting #0: cost 47 inf + 0 2.951 * * [simplify]: Extracting #1: cost 671 inf + 0 2.958 * * [simplify]: Extracting #2: cost 1212 inf + 27016 2.985 * * [simplify]: Extracting #3: cost 303 inf + 183713 3.073 * * [simplify]: Extracting #4: cost 43 inf + 239786 3.154 * * [simplify]: Extracting #5: cost 0 inf + 254055 3.233 * [simplify]: Simplified to: (expm1 (/ (- 1 (cos x)) (* x x))) (log1p (/ (- 1 (cos x)) (* x x))) (log (/ (- 1 (cos x)) (* x x))) (log (/ (- 1 (cos x)) (* x x))) (log (/ (- 1 (cos x)) (* x x))) (exp (/ (- 1 (cos x)) (* x x))) (* (/ (- 1 (cos x)) (* x x)) (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)))) (* (/ (- 1 (cos x)) (* x x)) (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)))) (* (cbrt (/ (- 1 (cos x)) (* x x))) (cbrt (/ (- 1 (cos x)) (* x x)))) (cbrt (/ (- 1 (cos x)) (* x x))) (* (/ (- 1 (cos x)) (* x x)) (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)))) (sqrt (/ (- 1 (cos x)) (* x x))) (sqrt (/ (- 1 (cos x)) (* x x))) (- (- 1 (cos x))) (* (- x) x) (/ 1 (* x x)) (/ (/ (cos x) x) x) (/ (cbrt (- 1 (cos x))) (/ x (cbrt (- 1 (cos x))))) (/ (cbrt (- 1 (cos x))) x) (/ (sqrt (- 1 (cos x))) x) (/ (sqrt (- 1 (cos x))) x) (/ 1 x) (/ (- 1 (cos x)) x) (/ (+ (sqrt (cos x)) 1) x) (/ (- 1 (sqrt (cos x))) x) (/ (+ (sqrt (cos x)) 1) x) (/ (- 1 (sqrt (cos x))) x) (/ 1 x) (/ (- 1 (cos x)) x) (/ 1 (* x x)) (/ x (/ (- 1 (cos x)) x)) (/ (- 1 (cos x)) x) (/ (* x x) (cbrt (- 1 (cos x)))) (/ (* x x) (sqrt (- 1 (cos x)))) (/ x (/ (- 1 (cos x)) x)) (/ (* x x) (- 1 (sqrt (cos x)))) (/ (* x x) (- 1 (sqrt (cos x)))) (/ x (/ (- 1 (cos x)) x)) (fma (fma (cos x) (cos x) (cos x)) (* x x) (* x x)) (* (fma x (cos x) x) x) (real->posit16 (/ (- 1 (cos x)) (* x x))) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (- 1 (cos x)) (* (cos x) 0) (expm1 (- 1 (cos x))) (log1p (- 1 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (exp (- 1 (cos x))) (log (- 1 (cos x))) (exp (- 1 (cos x))) (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) (cbrt (- 1 (cos x))) (* (- 1 (cos x)) (* (- 1 (cos x)) (- 1 (cos x)))) (sqrt (- 1 (cos x))) (sqrt (- 1 (cos x))) (- 1 (* (cos x) (* (cos x) (cos x)))) (+ (cos x) (fma (cos x) (cos x) 1)) (- (cos x)) (* (sin x) (sin x)) (+ (cos x) 1) (+ (sqrt (cos x)) 1) (- 1 (sqrt (cos x))) (+ (sqrt (cos x)) 1) (- 1 (sqrt (cos x))) (- 1 (cos x)) (- (cos x)) (real->posit16 (- 1 (cos x))) (fma (* x x) (- (* (* x x) 1/720) 1/24) 1/2) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (fma (* (* x x) (* (* x x) 1/720)) (* x x) (* (* x x) (fma -1/24 (* x x) 1/2))) (- 1 (cos x)) (- 1 (cos x)) 3.239 * * * [progress]: adding candidates to table 3.476 * * [progress]: iteration 2 / 4 3.476 * * * [progress]: picking best candidate 3.498 * * * * [pick]: Picked # 3.498 * * * [progress]: localizing error 3.518 * * * [progress]: generating rewritten candidates 3.518 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 3.550 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 3.562 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 3.581 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 3.604 * * * [progress]: generating series expansions 3.604 * * * * [progress]: [ 1 / 4 ] generating series at (2) 3.604 * [backup-simplify]: Simplify (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) 3.604 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in (x) around 0 3.604 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x 3.604 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 3.604 * [taylor]: Taking taylor expansion of (sin x) in x 3.604 * [taylor]: Taking taylor expansion of x in x 3.604 * [backup-simplify]: Simplify 0 into 0 3.604 * [backup-simplify]: Simplify 1 into 1 3.606 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.606 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x 3.606 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.606 * [taylor]: Taking taylor expansion of x in x 3.606 * [backup-simplify]: Simplify 0 into 0 3.606 * [backup-simplify]: Simplify 1 into 1 3.606 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 3.606 * [taylor]: Taking taylor expansion of (cos x) in x 3.606 * [taylor]: Taking taylor expansion of x in x 3.606 * [backup-simplify]: Simplify 0 into 0 3.606 * [backup-simplify]: Simplify 1 into 1 3.606 * [taylor]: Taking taylor expansion of 1 in x 3.606 * [backup-simplify]: Simplify 1 into 1 3.606 * [backup-simplify]: Simplify (* 1 1) into 1 3.606 * [backup-simplify]: Simplify (* 1 1) into 1 3.607 * [backup-simplify]: Simplify (+ 1 1) into 2 3.607 * [backup-simplify]: Simplify (* 1 2) into 2 3.607 * [backup-simplify]: Simplify (/ 1 2) into 1/2 3.607 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) in x 3.607 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 3.607 * [taylor]: Taking taylor expansion of (sin x) in x 3.607 * [taylor]: Taking taylor expansion of x in x 3.607 * [backup-simplify]: Simplify 0 into 0 3.607 * [backup-simplify]: Simplify 1 into 1 3.608 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.608 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (cos x) 1)) in x 3.608 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.608 * [taylor]: Taking taylor expansion of x in x 3.608 * [backup-simplify]: Simplify 0 into 0 3.608 * [backup-simplify]: Simplify 1 into 1 3.608 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 3.608 * [taylor]: Taking taylor expansion of (cos x) in x 3.608 * [taylor]: Taking taylor expansion of x in x 3.608 * [backup-simplify]: Simplify 0 into 0 3.608 * [backup-simplify]: Simplify 1 into 1 3.608 * [taylor]: Taking taylor expansion of 1 in x 3.608 * [backup-simplify]: Simplify 1 into 1 3.608 * [backup-simplify]: Simplify (* 1 1) into 1 3.609 * [backup-simplify]: Simplify (* 1 1) into 1 3.609 * [backup-simplify]: Simplify (+ 1 1) into 2 3.609 * [backup-simplify]: Simplify (* 1 2) into 2 3.609 * [backup-simplify]: Simplify (/ 1 2) into 1/2 3.609 * [backup-simplify]: Simplify 1/2 into 1/2 3.610 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.611 * [backup-simplify]: Simplify (+ 0) into 0 3.611 * [backup-simplify]: Simplify (+ 0 0) into 0 3.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 2)) into 0 3.612 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 3.612 * [backup-simplify]: Simplify 0 into 0 3.613 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 3.614 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 3.614 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.615 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 3.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.616 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* 0 2))) into -1/2 3.617 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24 3.617 * [backup-simplify]: Simplify -1/24 into -1/24 3.618 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 3.619 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.619 * [backup-simplify]: Simplify (+ 0 0) into 0 3.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2)))) into 0 3.622 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 3.622 * [backup-simplify]: Simplify 0 into 0 3.624 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 3.625 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 3.627 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 3.627 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 3.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.629 * [backup-simplify]: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 2))))) into 1/24 3.630 * [backup-simplify]: Simplify (- (/ 2/45 2) (+ (* 1/2 (/ 1/24 2)) (* 0 (/ 0 2)) (* -1/24 (/ -1/2 2)) (* 0 (/ 0 2)))) into 1/720 3.630 * [backup-simplify]: Simplify 1/720 into 1/720 3.630 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 3.631 * [backup-simplify]: Simplify (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (* (/ 1 x) (/ 1 x))) into (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) 3.631 * [approximate]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in (x) around 0 3.631 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x 3.631 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x 3.631 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 3.631 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.631 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.631 * [taylor]: Taking taylor expansion of x in x 3.631 * [backup-simplify]: Simplify 0 into 0 3.631 * [backup-simplify]: Simplify 1 into 1 3.631 * [backup-simplify]: Simplify (/ 1 1) into 1 3.631 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 3.631 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.631 * [taylor]: Taking taylor expansion of x in x 3.631 * [backup-simplify]: Simplify 0 into 0 3.631 * [backup-simplify]: Simplify 1 into 1 3.631 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 3.632 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.632 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.632 * [taylor]: Taking taylor expansion of x in x 3.632 * [backup-simplify]: Simplify 0 into 0 3.632 * [backup-simplify]: Simplify 1 into 1 3.632 * [backup-simplify]: Simplify (/ 1 1) into 1 3.632 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.632 * [taylor]: Taking taylor expansion of 1 in x 3.632 * [backup-simplify]: Simplify 1 into 1 3.632 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 3.632 * [backup-simplify]: Simplify (* 1 1) into 1 3.632 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2) 3.633 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 3.633 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 3.633 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 x)) 2) (pow x 2)) (+ (cos (/ 1 x)) 1)) in x 3.633 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow x 2)) in x 3.633 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 3.633 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.633 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.633 * [taylor]: Taking taylor expansion of x in x 3.633 * [backup-simplify]: Simplify 0 into 0 3.633 * [backup-simplify]: Simplify 1 into 1 3.633 * [backup-simplify]: Simplify (/ 1 1) into 1 3.633 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 3.633 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.633 * [taylor]: Taking taylor expansion of x in x 3.633 * [backup-simplify]: Simplify 0 into 0 3.633 * [backup-simplify]: Simplify 1 into 1 3.633 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 3.633 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.633 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.633 * [taylor]: Taking taylor expansion of x in x 3.633 * [backup-simplify]: Simplify 0 into 0 3.633 * [backup-simplify]: Simplify 1 into 1 3.634 * [backup-simplify]: Simplify (/ 1 1) into 1 3.634 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.634 * [taylor]: Taking taylor expansion of 1 in x 3.634 * [backup-simplify]: Simplify 1 into 1 3.634 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 3.634 * [backup-simplify]: Simplify (* 1 1) into 1 3.634 * [backup-simplify]: Simplify (* (pow (sin (/ 1 x)) 2) 1) into (pow (sin (/ 1 x)) 2) 3.634 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 3.634 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 3.635 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 3.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.635 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 3.636 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (* 0 1)) into 0 3.636 * [backup-simplify]: Simplify (+ 0 0) into 0 3.636 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 3.636 * [backup-simplify]: Simplify 0 into 0 3.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.637 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 3.638 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 3.638 * [backup-simplify]: Simplify (+ 0 0) into 0 3.639 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 3.639 * [backup-simplify]: Simplify 0 into 0 3.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.640 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 3.640 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.641 * [backup-simplify]: Simplify (+ 0 0) into 0 3.641 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 3.641 * [backup-simplify]: Simplify 0 into 0 3.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.643 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 3.644 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.644 * [backup-simplify]: Simplify (+ 0 0) into 0 3.645 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 3.645 * [backup-simplify]: Simplify 0 into 0 3.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.647 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 3.648 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.648 * [backup-simplify]: Simplify (+ 0 0) into 0 3.648 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 3.648 * [backup-simplify]: Simplify 0 into 0 3.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.651 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 3.652 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.652 * [backup-simplify]: Simplify (+ 0 0) into 0 3.652 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 3.652 * [backup-simplify]: Simplify 0 into 0 3.653 * [backup-simplify]: Simplify (* (/ (pow (sin (/ 1 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) (pow (/ 1 x) 2)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) 3.653 * [backup-simplify]: Simplify (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- x)))) into (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) 3.653 * [approximate]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in (x) around 0 3.653 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x 3.653 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x 3.653 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.653 * [taylor]: Taking taylor expansion of x in x 3.653 * [backup-simplify]: Simplify 0 into 0 3.653 * [backup-simplify]: Simplify 1 into 1 3.653 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 3.653 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.653 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.653 * [taylor]: Taking taylor expansion of -1 in x 3.653 * [backup-simplify]: Simplify -1 into -1 3.653 * [taylor]: Taking taylor expansion of x in x 3.653 * [backup-simplify]: Simplify 0 into 0 3.653 * [backup-simplify]: Simplify 1 into 1 3.653 * [backup-simplify]: Simplify (/ -1 1) into -1 3.654 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 3.654 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 3.654 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.654 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.654 * [taylor]: Taking taylor expansion of -1 in x 3.654 * [backup-simplify]: Simplify -1 into -1 3.654 * [taylor]: Taking taylor expansion of x in x 3.654 * [backup-simplify]: Simplify 0 into 0 3.654 * [backup-simplify]: Simplify 1 into 1 3.654 * [backup-simplify]: Simplify (/ -1 1) into -1 3.654 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.654 * [taylor]: Taking taylor expansion of 1 in x 3.654 * [backup-simplify]: Simplify 1 into 1 3.654 * [backup-simplify]: Simplify (* 1 1) into 1 3.654 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 3.655 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2) 3.655 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 3.655 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 3.655 * [taylor]: Taking taylor expansion of (/ (* (pow x 2) (pow (sin (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1)) in x 3.655 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sin (/ -1 x)) 2)) in x 3.655 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.655 * [taylor]: Taking taylor expansion of x in x 3.655 * [backup-simplify]: Simplify 0 into 0 3.655 * [backup-simplify]: Simplify 1 into 1 3.655 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 3.655 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.655 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.655 * [taylor]: Taking taylor expansion of -1 in x 3.655 * [backup-simplify]: Simplify -1 into -1 3.655 * [taylor]: Taking taylor expansion of x in x 3.655 * [backup-simplify]: Simplify 0 into 0 3.655 * [backup-simplify]: Simplify 1 into 1 3.655 * [backup-simplify]: Simplify (/ -1 1) into -1 3.655 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 3.655 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 3.655 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.655 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.655 * [taylor]: Taking taylor expansion of -1 in x 3.655 * [backup-simplify]: Simplify -1 into -1 3.655 * [taylor]: Taking taylor expansion of x in x 3.655 * [backup-simplify]: Simplify 0 into 0 3.655 * [backup-simplify]: Simplify 1 into 1 3.656 * [backup-simplify]: Simplify (/ -1 1) into -1 3.656 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.656 * [taylor]: Taking taylor expansion of 1 in x 3.656 * [backup-simplify]: Simplify 1 into 1 3.656 * [backup-simplify]: Simplify (* 1 1) into 1 3.656 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 3.656 * [backup-simplify]: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2) 3.656 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 3.657 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 3.657 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 3.657 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 3.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sin (/ -1 x)) 2))) into 0 3.658 * [backup-simplify]: Simplify (+ 0 0) into 0 3.658 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 3.658 * [backup-simplify]: Simplify 0 into 0 3.659 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 3.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))) into 0 3.666 * [backup-simplify]: Simplify (+ 0 0) into 0 3.666 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 3.666 * [backup-simplify]: Simplify 0 into 0 3.667 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 3.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))) into 0 3.668 * [backup-simplify]: Simplify (+ 0 0) into 0 3.669 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 3.669 * [backup-simplify]: Simplify 0 into 0 3.670 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 3.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))) into 0 3.672 * [backup-simplify]: Simplify (+ 0 0) into 0 3.672 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 3.672 * [backup-simplify]: Simplify 0 into 0 3.673 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 3.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))))) into 0 3.675 * [backup-simplify]: Simplify (+ 0 0) into 0 3.676 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 3.676 * [backup-simplify]: Simplify 0 into 0 3.677 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 3.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2)))))))) into 0 3.680 * [backup-simplify]: Simplify (+ 0 0) into 0 3.681 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 3.681 * [backup-simplify]: Simplify 0 into 0 3.681 * [backup-simplify]: Simplify (* (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) (pow (/ 1 (- x)) 2)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) 3.681 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 3.681 * [backup-simplify]: Simplify (+ 1 (cos x)) into (+ (cos x) 1) 3.681 * [approximate]: Taking taylor expansion of (+ (cos x) 1) in (x) around 0 3.681 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 3.681 * [taylor]: Taking taylor expansion of (cos x) in x 3.681 * [taylor]: Taking taylor expansion of x in x 3.681 * [backup-simplify]: Simplify 0 into 0 3.681 * [backup-simplify]: Simplify 1 into 1 3.681 * [taylor]: Taking taylor expansion of 1 in x 3.681 * [backup-simplify]: Simplify 1 into 1 3.681 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 3.681 * [taylor]: Taking taylor expansion of (cos x) in x 3.681 * [taylor]: Taking taylor expansion of x in x 3.681 * [backup-simplify]: Simplify 0 into 0 3.681 * [backup-simplify]: Simplify 1 into 1 3.681 * [taylor]: Taking taylor expansion of 1 in x 3.681 * [backup-simplify]: Simplify 1 into 1 3.682 * [backup-simplify]: Simplify (+ 1 1) into 2 3.682 * [backup-simplify]: Simplify 2 into 2 3.682 * [backup-simplify]: Simplify (+ 0) into 0 3.682 * [backup-simplify]: Simplify (+ 0 0) into 0 3.682 * [backup-simplify]: Simplify 0 into 0 3.683 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.683 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 3.683 * [backup-simplify]: Simplify -1/2 into -1/2 3.684 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.684 * [backup-simplify]: Simplify (+ 0 0) into 0 3.684 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 3.686 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 3.686 * [backup-simplify]: Simplify 1/24 into 1/24 3.687 * [backup-simplify]: Simplify (+ (* 1/24 (pow x 4)) (+ (* -1/2 (pow x 2)) 2)) into (- (+ (* 1/24 (pow x 4)) 2) (* 1/2 (pow x 2))) 3.687 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1) 3.687 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in (x) around 0 3.687 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 3.687 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.687 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.687 * [taylor]: Taking taylor expansion of x in x 3.687 * [backup-simplify]: Simplify 0 into 0 3.687 * [backup-simplify]: Simplify 1 into 1 3.687 * [backup-simplify]: Simplify (/ 1 1) into 1 3.687 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.687 * [taylor]: Taking taylor expansion of 1 in x 3.687 * [backup-simplify]: Simplify 1 into 1 3.687 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 3.687 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.688 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.688 * [taylor]: Taking taylor expansion of x in x 3.688 * [backup-simplify]: Simplify 0 into 0 3.688 * [backup-simplify]: Simplify 1 into 1 3.688 * [backup-simplify]: Simplify (/ 1 1) into 1 3.688 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.688 * [taylor]: Taking taylor expansion of 1 in x 3.688 * [backup-simplify]: Simplify 1 into 1 3.688 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 3.688 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 3.688 * [backup-simplify]: Simplify (+ 0 0) into 0 3.688 * [backup-simplify]: Simplify 0 into 0 3.689 * [backup-simplify]: Simplify (+ 0 0) into 0 3.689 * [backup-simplify]: Simplify 0 into 0 3.689 * [backup-simplify]: Simplify (+ 0 0) into 0 3.689 * [backup-simplify]: Simplify 0 into 0 3.690 * [backup-simplify]: Simplify (+ 0 0) into 0 3.690 * [backup-simplify]: Simplify 0 into 0 3.690 * [backup-simplify]: Simplify (+ 0 0) into 0 3.690 * [backup-simplify]: Simplify 0 into 0 3.690 * [backup-simplify]: Simplify (+ 0 0) into 0 3.690 * [backup-simplify]: Simplify 0 into 0 3.690 * [backup-simplify]: Simplify (+ (cos (/ 1 (/ 1 x))) 1) into (+ (cos x) 1) 3.690 * [backup-simplify]: Simplify (+ 1 (cos (/ 1 (- x)))) into (+ (cos (/ -1 x)) 1) 3.691 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in (x) around 0 3.691 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 3.691 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.691 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.691 * [taylor]: Taking taylor expansion of -1 in x 3.691 * [backup-simplify]: Simplify -1 into -1 3.691 * [taylor]: Taking taylor expansion of x in x 3.691 * [backup-simplify]: Simplify 0 into 0 3.691 * [backup-simplify]: Simplify 1 into 1 3.691 * [backup-simplify]: Simplify (/ -1 1) into -1 3.691 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.691 * [taylor]: Taking taylor expansion of 1 in x 3.691 * [backup-simplify]: Simplify 1 into 1 3.691 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 3.691 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.691 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.691 * [taylor]: Taking taylor expansion of -1 in x 3.691 * [backup-simplify]: Simplify -1 into -1 3.691 * [taylor]: Taking taylor expansion of x in x 3.691 * [backup-simplify]: Simplify 0 into 0 3.691 * [backup-simplify]: Simplify 1 into 1 3.691 * [backup-simplify]: Simplify (/ -1 1) into -1 3.691 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.692 * [taylor]: Taking taylor expansion of 1 in x 3.692 * [backup-simplify]: Simplify 1 into 1 3.692 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 3.692 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 3.692 * [backup-simplify]: Simplify (+ 0 0) into 0 3.692 * [backup-simplify]: Simplify 0 into 0 3.692 * [backup-simplify]: Simplify (+ 0 0) into 0 3.692 * [backup-simplify]: Simplify 0 into 0 3.692 * [backup-simplify]: Simplify (+ 0 0) into 0 3.693 * [backup-simplify]: Simplify 0 into 0 3.693 * [backup-simplify]: Simplify (+ 0 0) into 0 3.693 * [backup-simplify]: Simplify 0 into 0 3.693 * [backup-simplify]: Simplify (+ 0 0) into 0 3.693 * [backup-simplify]: Simplify 0 into 0 3.693 * [backup-simplify]: Simplify (+ 0 0) into 0 3.693 * [backup-simplify]: Simplify 0 into 0 3.693 * [backup-simplify]: Simplify (+ (cos (/ -1 (/ 1 (- x)))) 1) into (+ (cos x) 1) 3.694 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 3.694 * [backup-simplify]: Simplify (* (sin x) (sin x)) into (pow (sin x) 2) 3.694 * [approximate]: Taking taylor expansion of (pow (sin x) 2) in (x) around 0 3.694 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 3.694 * [taylor]: Taking taylor expansion of (sin x) in x 3.694 * [taylor]: Taking taylor expansion of x in x 3.694 * [backup-simplify]: Simplify 0 into 0 3.694 * [backup-simplify]: Simplify 1 into 1 3.694 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.694 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 3.694 * [taylor]: Taking taylor expansion of (sin x) in x 3.694 * [taylor]: Taking taylor expansion of x in x 3.694 * [backup-simplify]: Simplify 0 into 0 3.694 * [backup-simplify]: Simplify 1 into 1 3.695 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.695 * [backup-simplify]: Simplify (* 1 1) into 1 3.695 * [backup-simplify]: Simplify 1 into 1 3.696 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.696 * [backup-simplify]: Simplify 0 into 0 3.697 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 3.698 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 3.698 * [backup-simplify]: Simplify -1/3 into -1/3 3.699 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 3.700 * [backup-simplify]: Simplify 0 into 0 3.702 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 3.703 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 3.703 * [backup-simplify]: Simplify 2/45 into 2/45 3.703 * [backup-simplify]: Simplify (+ (* 2/45 (pow x 6)) (+ (* -1/3 (pow x 4)) (* 1 (pow x 2)))) into (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) 3.703 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 3.703 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in (x) around 0 3.703 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 3.703 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.703 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.703 * [taylor]: Taking taylor expansion of x in x 3.703 * [backup-simplify]: Simplify 0 into 0 3.703 * [backup-simplify]: Simplify 1 into 1 3.704 * [backup-simplify]: Simplify (/ 1 1) into 1 3.704 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 3.704 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 3.704 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.704 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.704 * [taylor]: Taking taylor expansion of x in x 3.704 * [backup-simplify]: Simplify 0 into 0 3.704 * [backup-simplify]: Simplify 1 into 1 3.704 * [backup-simplify]: Simplify (/ 1 1) into 1 3.704 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 3.704 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 3.704 * [backup-simplify]: Simplify (pow (sin (/ 1 x)) 2) into (pow (sin (/ 1 x)) 2) 3.704 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 3.704 * [backup-simplify]: Simplify 0 into 0 3.705 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 3.705 * [backup-simplify]: Simplify 0 into 0 3.705 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 3.705 * [backup-simplify]: Simplify 0 into 0 3.706 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 3.706 * [backup-simplify]: Simplify 0 into 0 3.707 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 3.707 * [backup-simplify]: Simplify 0 into 0 3.708 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 3.708 * [backup-simplify]: Simplify 0 into 0 3.709 * [backup-simplify]: Simplify (pow (sin (/ 1 (/ 1 x))) 2) into (pow (sin x) 2) 3.709 * [backup-simplify]: Simplify (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) into (pow (sin (/ -1 x)) 2) 3.709 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in (x) around 0 3.709 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 3.709 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.709 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.709 * [taylor]: Taking taylor expansion of -1 in x 3.709 * [backup-simplify]: Simplify -1 into -1 3.709 * [taylor]: Taking taylor expansion of x in x 3.709 * [backup-simplify]: Simplify 0 into 0 3.709 * [backup-simplify]: Simplify 1 into 1 3.709 * [backup-simplify]: Simplify (/ -1 1) into -1 3.709 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 3.709 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 3.709 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.709 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.709 * [taylor]: Taking taylor expansion of -1 in x 3.709 * [backup-simplify]: Simplify -1 into -1 3.709 * [taylor]: Taking taylor expansion of x in x 3.709 * [backup-simplify]: Simplify 0 into 0 3.709 * [backup-simplify]: Simplify 1 into 1 3.710 * [backup-simplify]: Simplify (/ -1 1) into -1 3.710 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 3.710 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 3.710 * [backup-simplify]: Simplify (pow (sin (/ -1 x)) 2) into (pow (sin (/ -1 x)) 2) 3.710 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 3.710 * [backup-simplify]: Simplify 0 into 0 3.710 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 3.710 * [backup-simplify]: Simplify 0 into 0 3.711 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 3.711 * [backup-simplify]: Simplify 0 into 0 3.712 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 3.712 * [backup-simplify]: Simplify 0 into 0 3.713 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 3.713 * [backup-simplify]: Simplify 0 into 0 3.714 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 3.714 * [backup-simplify]: Simplify 0 into 0 3.715 * [backup-simplify]: Simplify (pow (sin (/ -1 (/ 1 (- x)))) 2) into (pow (sin x) 2) 3.715 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 3.715 * [backup-simplify]: Simplify (/ (* (sin x) (sin x)) (+ 1 (cos x))) into (/ (pow (sin x) 2) (+ (cos x) 1)) 3.715 * [approximate]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in (x) around 0 3.715 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x 3.715 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 3.715 * [taylor]: Taking taylor expansion of (sin x) in x 3.715 * [taylor]: Taking taylor expansion of x in x 3.715 * [backup-simplify]: Simplify 0 into 0 3.715 * [backup-simplify]: Simplify 1 into 1 3.715 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.715 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 3.715 * [taylor]: Taking taylor expansion of (cos x) in x 3.715 * [taylor]: Taking taylor expansion of x in x 3.715 * [backup-simplify]: Simplify 0 into 0 3.715 * [backup-simplify]: Simplify 1 into 1 3.715 * [taylor]: Taking taylor expansion of 1 in x 3.715 * [backup-simplify]: Simplify 1 into 1 3.716 * [backup-simplify]: Simplify (* 1 1) into 1 3.716 * [backup-simplify]: Simplify (+ 1 1) into 2 3.716 * [backup-simplify]: Simplify (/ 1 2) into 1/2 3.716 * [taylor]: Taking taylor expansion of (/ (pow (sin x) 2) (+ (cos x) 1)) in x 3.716 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 3.716 * [taylor]: Taking taylor expansion of (sin x) in x 3.716 * [taylor]: Taking taylor expansion of x in x 3.716 * [backup-simplify]: Simplify 0 into 0 3.716 * [backup-simplify]: Simplify 1 into 1 3.717 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.717 * [taylor]: Taking taylor expansion of (+ (cos x) 1) in x 3.717 * [taylor]: Taking taylor expansion of (cos x) in x 3.717 * [taylor]: Taking taylor expansion of x in x 3.717 * [backup-simplify]: Simplify 0 into 0 3.717 * [backup-simplify]: Simplify 1 into 1 3.717 * [taylor]: Taking taylor expansion of 1 in x 3.717 * [backup-simplify]: Simplify 1 into 1 3.717 * [backup-simplify]: Simplify (* 1 1) into 1 3.717 * [backup-simplify]: Simplify (+ 1 1) into 2 3.718 * [backup-simplify]: Simplify (/ 1 2) into 1/2 3.718 * [backup-simplify]: Simplify 1/2 into 1/2 3.718 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.719 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.719 * [backup-simplify]: Simplify (+ 0) into 0 3.719 * [backup-simplify]: Simplify (+ 0 0) into 0 3.720 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 3.720 * [backup-simplify]: Simplify 0 into 0 3.720 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 3.721 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 3.722 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.722 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 3.723 * [backup-simplify]: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24 3.723 * [backup-simplify]: Simplify -1/24 into -1/24 3.724 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 3.725 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.726 * [backup-simplify]: Simplify (+ 0 0) into 0 3.726 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 3.726 * [backup-simplify]: Simplify 0 into 0 3.728 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 3.729 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 3.731 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 3.731 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 3.733 * [backup-simplify]: Simplify (- (/ 2/45 2) (+ (* 1/2 (/ 1/24 2)) (* 0 (/ 0 2)) (* -1/24 (/ -1/2 2)) (* 0 (/ 0 2)))) into 1/720 3.733 * [backup-simplify]: Simplify 1/720 into 1/720 3.733 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 3.733 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 3.733 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in (x) around 0 3.733 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x 3.733 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 3.733 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.733 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.734 * [taylor]: Taking taylor expansion of x in x 3.734 * [backup-simplify]: Simplify 0 into 0 3.734 * [backup-simplify]: Simplify 1 into 1 3.734 * [backup-simplify]: Simplify (/ 1 1) into 1 3.734 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 3.734 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 3.734 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.734 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.734 * [taylor]: Taking taylor expansion of x in x 3.734 * [backup-simplify]: Simplify 0 into 0 3.734 * [backup-simplify]: Simplify 1 into 1 3.734 * [backup-simplify]: Simplify (/ 1 1) into 1 3.734 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.734 * [taylor]: Taking taylor expansion of 1 in x 3.734 * [backup-simplify]: Simplify 1 into 1 3.734 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 3.734 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 3.735 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 3.735 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) in x 3.735 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 3.735 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.735 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.735 * [taylor]: Taking taylor expansion of x in x 3.735 * [backup-simplify]: Simplify 0 into 0 3.735 * [backup-simplify]: Simplify 1 into 1 3.735 * [backup-simplify]: Simplify (/ 1 1) into 1 3.735 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 3.735 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x 3.735 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.735 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.735 * [taylor]: Taking taylor expansion of x in x 3.735 * [backup-simplify]: Simplify 0 into 0 3.735 * [backup-simplify]: Simplify 1 into 1 3.736 * [backup-simplify]: Simplify (/ 1 1) into 1 3.736 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.736 * [taylor]: Taking taylor expansion of 1 in x 3.736 * [backup-simplify]: Simplify 1 into 1 3.736 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) 3.736 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) 3.736 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 3.737 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 3.737 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 3.737 * [backup-simplify]: Simplify (+ 0 0) into 0 3.738 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 3.738 * [backup-simplify]: Simplify 0 into 0 3.738 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 3.739 * [backup-simplify]: Simplify (+ 0 0) into 0 3.739 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 3.739 * [backup-simplify]: Simplify 0 into 0 3.740 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 3.741 * [backup-simplify]: Simplify (+ 0 0) into 0 3.741 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 3.741 * [backup-simplify]: Simplify 0 into 0 3.742 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 3.743 * [backup-simplify]: Simplify (+ 0 0) into 0 3.743 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 3.744 * [backup-simplify]: Simplify 0 into 0 3.745 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 3.746 * [backup-simplify]: Simplify (+ 0 0) into 0 3.747 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 3.747 * [backup-simplify]: Simplify 0 into 0 3.749 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 3.749 * [backup-simplify]: Simplify (+ 0 0) into 0 3.750 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 3.750 * [backup-simplify]: Simplify 0 into 0 3.750 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1)) 3.751 * [backup-simplify]: Simplify (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 3.751 * [approximate]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in (x) around 0 3.751 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x 3.751 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 3.751 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.751 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.751 * [taylor]: Taking taylor expansion of -1 in x 3.751 * [backup-simplify]: Simplify -1 into -1 3.751 * [taylor]: Taking taylor expansion of x in x 3.751 * [backup-simplify]: Simplify 0 into 0 3.751 * [backup-simplify]: Simplify 1 into 1 3.751 * [backup-simplify]: Simplify (/ -1 1) into -1 3.752 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 3.752 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 3.752 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.752 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.752 * [taylor]: Taking taylor expansion of -1 in x 3.752 * [backup-simplify]: Simplify -1 into -1 3.752 * [taylor]: Taking taylor expansion of x in x 3.752 * [backup-simplify]: Simplify 0 into 0 3.752 * [backup-simplify]: Simplify 1 into 1 3.752 * [backup-simplify]: Simplify (/ -1 1) into -1 3.752 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.752 * [taylor]: Taking taylor expansion of 1 in x 3.752 * [backup-simplify]: Simplify 1 into 1 3.752 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 3.753 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 3.753 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 3.753 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) in x 3.753 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 3.753 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.753 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.753 * [taylor]: Taking taylor expansion of -1 in x 3.753 * [backup-simplify]: Simplify -1 into -1 3.753 * [taylor]: Taking taylor expansion of x in x 3.753 * [backup-simplify]: Simplify 0 into 0 3.753 * [backup-simplify]: Simplify 1 into 1 3.753 * [backup-simplify]: Simplify (/ -1 1) into -1 3.754 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 3.754 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1) in x 3.754 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.754 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.754 * [taylor]: Taking taylor expansion of -1 in x 3.754 * [backup-simplify]: Simplify -1 into -1 3.754 * [taylor]: Taking taylor expansion of x in x 3.754 * [backup-simplify]: Simplify 0 into 0 3.754 * [backup-simplify]: Simplify 1 into 1 3.754 * [backup-simplify]: Simplify (/ -1 1) into -1 3.754 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.754 * [taylor]: Taking taylor expansion of 1 in x 3.754 * [backup-simplify]: Simplify 1 into 1 3.754 * [backup-simplify]: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) 3.755 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) 3.755 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 3.755 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 3.755 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 3.756 * [backup-simplify]: Simplify (+ 0 0) into 0 3.756 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 3.756 * [backup-simplify]: Simplify 0 into 0 3.757 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 3.757 * [backup-simplify]: Simplify (+ 0 0) into 0 3.758 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 3.758 * [backup-simplify]: Simplify 0 into 0 3.759 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 3.759 * [backup-simplify]: Simplify (+ 0 0) into 0 3.760 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 3.760 * [backup-simplify]: Simplify 0 into 0 3.761 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 3.761 * [backup-simplify]: Simplify (+ 0 0) into 0 3.762 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 3.762 * [backup-simplify]: Simplify 0 into 0 3.764 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 3.764 * [backup-simplify]: Simplify (+ 0 0) into 0 3.764 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 3.764 * [backup-simplify]: Simplify 0 into 0 3.766 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 3.766 * [backup-simplify]: Simplify (+ 0 0) into 0 3.766 * [backup-simplify]: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 3.766 * [backup-simplify]: Simplify 0 into 0 3.767 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1)) 3.767 * * * [progress]: simplifying candidates 3.767 * * * * [progress]: [ 1 / 138 ] simplifiying candidate # 3.767 * * * * [progress]: [ 2 / 138 ] simplifiying candidate # 3.767 * * * * [progress]: [ 3 / 138 ] simplifiying candidate # 3.767 * * * * [progress]: [ 4 / 138 ] simplifiying candidate # 3.767 * * * * [progress]: [ 5 / 138 ] simplifiying candidate # 3.767 * * * * [progress]: [ 6 / 138 ] simplifiying candidate # 3.767 * * * * [progress]: [ 7 / 138 ] simplifiying candidate # 3.767 * * * * [progress]: [ 8 / 138 ] simplifiying candidate # 3.767 * * * * [progress]: [ 9 / 138 ] simplifiying candidate # 3.767 * * * * [progress]: [ 10 / 138 ] simplifiying candidate # 3.767 * * * * [progress]: [ 11 / 138 ] simplifiying candidate # 3.767 * * * * [progress]: [ 12 / 138 ] simplifiying candidate # 3.767 * * * * [progress]: [ 13 / 138 ] simplifiying candidate # 3.767 * * * * [progress]: [ 14 / 138 ] simplifiying candidate # 3.767 * * * * [progress]: [ 15 / 138 ] simplifiying candidate # 3.767 * * * * [progress]: [ 16 / 138 ] simplifiying candidate # 3.767 * * * * [progress]: [ 17 / 138 ] simplifiying candidate # 3.767 * * * * [progress]: [ 18 / 138 ] simplifiying candidate # 3.767 * * * * [progress]: [ 19 / 138 ] simplifiying candidate # 3.767 * * * * [progress]: [ 20 / 138 ] simplifiying candidate # 3.768 * * * * [progress]: [ 21 / 138 ] simplifiying candidate # 3.768 * * * * [progress]: [ 22 / 138 ] simplifiying candidate # 3.768 * * * * [progress]: [ 23 / 138 ] simplifiying candidate # 3.768 * * * * [progress]: [ 24 / 138 ] simplifiying candidate # 3.768 * * * * [progress]: [ 25 / 138 ] simplifiying candidate # 3.768 * * * * [progress]: [ 26 / 138 ] simplifiying candidate # 3.768 * * * * [progress]: [ 27 / 138 ] simplifiying candidate # 3.768 * * * * [progress]: [ 28 / 138 ] simplifiying candidate # 3.768 * * * * [progress]: [ 29 / 138 ] simplifiying candidate # 3.768 * * * * [progress]: [ 30 / 138 ] simplifiying candidate # 3.768 * * * * [progress]: [ 31 / 138 ] simplifiying candidate # 3.768 * * * * [progress]: [ 32 / 138 ] simplifiying candidate # 3.768 * * * * [progress]: [ 33 / 138 ] simplifiying candidate # 3.768 * * * * [progress]: [ 34 / 138 ] simplifiying candidate # 3.768 * * * * [progress]: [ 35 / 138 ] simplifiying candidate # 3.768 * * * * [progress]: [ 36 / 138 ] simplifiying candidate # 3.768 * * * * [progress]: [ 37 / 138 ] simplifiying candidate # 3.768 * * * * [progress]: [ 38 / 138 ] simplifiying candidate # 3.768 * * * * [progress]: [ 39 / 138 ] simplifiying candidate # 3.768 * * * * [progress]: [ 40 / 138 ] simplifiying candidate # 3.768 * * * * [progress]: [ 41 / 138 ] simplifiying candidate # 3.768 * * * * [progress]: [ 42 / 138 ] simplifiying candidate # 3.768 * * * * [progress]: [ 43 / 138 ] simplifiying candidate # 3.768 * * * * [progress]: [ 44 / 138 ] simplifiying candidate # 3.768 * * * * [progress]: [ 45 / 138 ] simplifiying candidate # 3.768 * * * * [progress]: [ 46 / 138 ] simplifiying candidate # 3.768 * * * * [progress]: [ 47 / 138 ] simplifiying candidate # 3.769 * * * * [progress]: [ 48 / 138 ] simplifiying candidate #real (real->posit16 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))> 3.769 * * * * [progress]: [ 49 / 138 ] simplifiying candidate # 3.769 * * * * [progress]: [ 50 / 138 ] simplifiying candidate # 3.769 * * * * [progress]: [ 51 / 138 ] simplifiying candidate # 3.769 * * * * [progress]: [ 52 / 138 ] simplifiying candidate # 3.769 * * * * [progress]: [ 53 / 138 ] simplifiying candidate # 3.769 * * * * [progress]: [ 54 / 138 ] simplifiying candidate # 3.769 * * * * [progress]: [ 55 / 138 ] simplifiying candidate # 3.769 * * * * [progress]: [ 56 / 138 ] simplifiying candidate # 3.769 * * * * [progress]: [ 57 / 138 ] simplifiying candidate # 3.769 * * * * [progress]: [ 58 / 138 ] simplifiying candidate # 3.769 * * * * [progress]: [ 59 / 138 ] simplifiying candidate # 3.769 * * * * [progress]: [ 60 / 138 ] simplifiying candidate # 3.769 * * * * [progress]: [ 61 / 138 ] simplifiying candidate # 3.769 * * * * [progress]: [ 62 / 138 ] simplifiying candidate # 3.769 * * * * [progress]: [ 63 / 138 ] simplifiying candidate # 3.769 * * * * [progress]: [ 64 / 138 ] simplifiying candidate # 3.769 * * * * [progress]: [ 65 / 138 ] simplifiying candidate #real (real->posit16 (+ 1 (cos x))))) (* x x)))> 3.769 * * * * [progress]: [ 66 / 138 ] simplifiying candidate # 3.769 * * * * [progress]: [ 67 / 138 ] simplifiying candidate # 3.769 * * * * [progress]: [ 68 / 138 ] simplifiying candidate # 3.769 * * * * [progress]: [ 69 / 138 ] simplifiying candidate # 3.769 * * * * [progress]: [ 70 / 138 ] simplifiying candidate # 3.769 * * * * [progress]: [ 71 / 138 ] simplifiying candidate # 3.769 * * * * [progress]: [ 72 / 138 ] simplifiying candidate # 3.769 * * * * [progress]: [ 73 / 138 ] simplifiying candidate # 3.769 * * * * [progress]: [ 74 / 138 ] simplifiying candidate # 3.769 * * * * [progress]: [ 75 / 138 ] simplifiying candidate # 3.770 * * * * [progress]: [ 76 / 138 ] simplifiying candidate # 3.770 * * * * [progress]: [ 77 / 138 ] simplifiying candidate # 3.770 * * * * [progress]: [ 78 / 138 ] simplifiying candidate # 3.770 * * * * [progress]: [ 79 / 138 ] simplifiying candidate # 3.770 * * * * [progress]: [ 80 / 138 ] simplifiying candidate # 3.770 * * * * [progress]: [ 81 / 138 ] simplifiying candidate # 3.770 * * * * [progress]: [ 82 / 138 ] simplifiying candidate # 3.770 * * * * [progress]: [ 83 / 138 ] simplifiying candidate # 3.770 * * * * [progress]: [ 84 / 138 ] simplifiying candidate # 3.770 * * * * [progress]: [ 85 / 138 ] simplifiying candidate # 3.770 * * * * [progress]: [ 86 / 138 ] simplifiying candidate # 3.770 * * * * [progress]: [ 87 / 138 ] simplifiying candidate # 3.770 * * * * [progress]: [ 88 / 138 ] simplifiying candidate # 3.770 * * * * [progress]: [ 89 / 138 ] simplifiying candidate # 3.770 * * * * [progress]: [ 90 / 138 ] simplifiying candidate # 3.770 * * * * [progress]: [ 91 / 138 ] simplifiying candidate # 3.770 * * * * [progress]: [ 92 / 138 ] simplifiying candidate # 3.770 * * * * [progress]: [ 93 / 138 ] simplifiying candidate # 3.770 * * * * [progress]: [ 94 / 138 ] simplifiying candidate # 3.770 * * * * [progress]: [ 95 / 138 ] simplifiying candidate #real (real->posit16 (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))> 3.770 * * * * [progress]: [ 96 / 138 ] simplifiying candidate # 3.770 * * * * [progress]: [ 97 / 138 ] simplifiying candidate # 3.770 * * * * [progress]: [ 98 / 138 ] simplifiying candidate # 3.770 * * * * [progress]: [ 99 / 138 ] simplifiying candidate # 3.770 * * * * [progress]: [ 100 / 138 ] simplifiying candidate # 3.770 * * * * [progress]: [ 101 / 138 ] simplifiying candidate # 3.770 * * * * [progress]: [ 102 / 138 ] simplifiying candidate # 3.770 * * * * [progress]: [ 103 / 138 ] simplifiying candidate # 3.771 * * * * [progress]: [ 104 / 138 ] simplifiying candidate # 3.771 * * * * [progress]: [ 105 / 138 ] simplifiying candidate # 3.771 * * * * [progress]: [ 106 / 138 ] simplifiying candidate # 3.771 * * * * [progress]: [ 107 / 138 ] simplifiying candidate # 3.771 * * * * [progress]: [ 108 / 138 ] simplifiying candidate # 3.771 * * * * [progress]: [ 109 / 138 ] simplifiying candidate # 3.771 * * * * [progress]: [ 110 / 138 ] simplifiying candidate # 3.771 * * * * [progress]: [ 111 / 138 ] simplifiying candidate # 3.771 * * * * [progress]: [ 112 / 138 ] simplifiying candidate # 3.771 * * * * [progress]: [ 113 / 138 ] simplifiying candidate # 3.771 * * * * [progress]: [ 114 / 138 ] simplifiying candidate # 3.771 * * * * [progress]: [ 115 / 138 ] simplifiying candidate # 3.771 * * * * [progress]: [ 116 / 138 ] simplifiying candidate # 3.771 * * * * [progress]: [ 117 / 138 ] simplifiying candidate # 3.771 * * * * [progress]: [ 118 / 138 ] simplifiying candidate # 3.771 * * * * [progress]: [ 119 / 138 ] simplifiying candidate # 3.771 * * * * [progress]: [ 120 / 138 ] simplifiying candidate # 3.771 * * * * [progress]: [ 121 / 138 ] simplifiying candidate # 3.771 * * * * [progress]: [ 122 / 138 ] simplifiying candidate # 3.771 * * * * [progress]: [ 123 / 138 ] simplifiying candidate # 3.771 * * * * [progress]: [ 124 / 138 ] simplifiying candidate # 3.771 * * * * [progress]: [ 125 / 138 ] simplifiying candidate # 3.771 * * * * [progress]: [ 126 / 138 ] simplifiying candidate #real (real->posit16 (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))> 3.771 * * * * [progress]: [ 127 / 138 ] simplifiying candidate # 3.771 * * * * [progress]: [ 128 / 138 ] simplifiying candidate # 3.771 * * * * [progress]: [ 129 / 138 ] simplifiying candidate # 3.771 * * * * [progress]: [ 130 / 138 ] simplifiying candidate # 3.771 * * * * [progress]: [ 131 / 138 ] simplifiying candidate # 3.772 * * * * [progress]: [ 132 / 138 ] simplifiying candidate # 3.772 * * * * [progress]: [ 133 / 138 ] simplifiying candidate # 3.772 * * * * [progress]: [ 134 / 138 ] simplifiying candidate # 3.772 * * * * [progress]: [ 135 / 138 ] simplifiying candidate # 3.772 * * * * [progress]: [ 136 / 138 ] simplifiying candidate # 3.772 * * * * [progress]: [ 137 / 138 ] simplifiying candidate # 3.772 * * * * [progress]: [ 138 / 138 ] simplifiying candidate # 3.776 * [simplify]: Simplifying: (expm1 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (log1p (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (+ (log x) (log x))) (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (log (* x x))) (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (+ (log x) (log x))) (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (log (* x x))) (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (+ (log x) (log x))) (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (log (* x x))) (log (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (exp (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (/ (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x))) (/ (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))) (/ (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x))) (/ (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))) (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (* (* (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (- (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (- (* x x)) (/ (/ 1/2 (+ 1 (cos x))) (* x x)) (/ (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))) (* x x)) (/ (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) x) (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) (/ (/ (sin x) (* 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(* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (- (* (sin x) (sin x))) (- (+ 1 (cos x))) (/ 1/2 (+ 1 (cos x))) (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))) (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) (/ (sin x) (cbrt (+ 1 (cos x)))) (/ (sin x) (sqrt (+ 1 (cos x)))) (/ (sin x) (sqrt (+ 1 (cos x)))) (/ (sin x) 1) (/ (sin x) (+ 1 (cos x))) (/ (sin x) 1) (/ (sin x) (+ 1 (cos x))) (/ 1 (+ 1 (cos x))) (/ (+ 1 (cos x)) (* (sin x) (sin x))) (/ (* (sin x) (sin x)) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) (/ (* (sin x) (sin x)) (sqrt (+ 1 (cos x)))) (/ (* (sin x) (sin x)) 1) (/ (* (sin x) (sin x)) 1) (/ (+ 1 (cos x)) (sin x)) (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) (* (+ 1 (cos x)) 2) (real->posit16 (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))) (- (+ (* 1/24 (pow x 4)) 2) (* 1/2 (pow x 2))) (+ (cos x) 1) (+ (cos x) 1) (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (pow (sin x) 2) (pow (sin x) 2) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (/ (pow (sin x) 2) (+ (cos x) 1)) (/ (pow (sin x) 2) (+ (cos x) 1)) 3.778 * * [simplify]: iteration 0: 190 enodes 3.832 * * [simplify]: iteration 1: 525 enodes 4.517 * * [simplify]: iteration 2: 1777 enodes 5.100 * * [simplify]: iteration complete: 5001 enodes 5.100 * * [simplify]: Extracting #0: cost 104 inf + 0 5.103 * * [simplify]: Extracting #1: cost 843 inf + 2 5.114 * * [simplify]: Extracting #2: cost 1774 inf + 14597 5.164 * * [simplify]: Extracting #3: cost 1149 inf + 215474 5.258 * * [simplify]: Extracting #4: cost 128 inf + 504341 5.401 * * [simplify]: Extracting #5: cost 0 inf + 547251 5.513 * [simplify]: Simplified to: (expm1 (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log1p (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (exp (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) (* (* (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) x) (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) x)) (/ (/ (* (sin x) (sin x)) 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(* x x)) (* x x)) (* (* x x) 1/2))) (/ (* (sin x) (sin x)) (+ (cos x) 1)) (/ (* (sin x) (sin x)) (+ (cos x) 1)) 5.523 * * * [progress]: adding candidates to table 5.960 * * [progress]: iteration 3 / 4 5.960 * * * [progress]: picking best candidate 5.975 * * * * [pick]: Picked # 5.975 * * * [progress]: localizing error 6.003 * * * [progress]: generating rewritten candidates 6.003 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 6.019 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 6.033 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 6.072 * * * [progress]: generating series expansions 6.073 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 6.073 * [backup-simplify]: Simplify (/ (sin x) x) into (/ (sin x) x) 6.073 * [approximate]: Taking taylor expansion of (/ (sin x) x) in (x) around 0 6.073 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 6.073 * [taylor]: Taking taylor expansion of (sin x) in x 6.073 * [taylor]: Taking taylor expansion of x in x 6.073 * [backup-simplify]: Simplify 0 into 0 6.073 * [backup-simplify]: Simplify 1 into 1 6.073 * [taylor]: Taking taylor expansion of x in x 6.073 * [backup-simplify]: Simplify 0 into 0 6.073 * [backup-simplify]: Simplify 1 into 1 6.073 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 6.074 * [backup-simplify]: Simplify (/ 1 1) into 1 6.074 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 6.074 * [taylor]: Taking taylor expansion of (sin x) in x 6.074 * [taylor]: Taking taylor expansion of x in x 6.074 * [backup-simplify]: Simplify 0 into 0 6.074 * [backup-simplify]: Simplify 1 into 1 6.074 * [taylor]: Taking taylor expansion of x in x 6.074 * [backup-simplify]: Simplify 0 into 0 6.074 * [backup-simplify]: Simplify 1 into 1 6.074 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 6.075 * [backup-simplify]: Simplify (/ 1 1) into 1 6.075 * [backup-simplify]: Simplify 1 into 1 6.075 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 6.076 * [backup-simplify]: Simplify 0 into 0 6.077 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 6.077 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/6 6.077 * [backup-simplify]: Simplify -1/6 into -1/6 6.078 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 6.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)))) into 0 6.079 * [backup-simplify]: Simplify 0 into 0 6.081 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 6.082 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 1/120 6.082 * [backup-simplify]: Simplify 1/120 into 1/120 6.082 * [backup-simplify]: Simplify (+ (* 1/120 (pow x 4)) (+ (* -1/6 (pow x 2)) 1)) into (- (+ (* 1/120 (pow x 4)) 1) (* 1/6 (pow x 2))) 6.082 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (/ 1 x)) into (* x (sin (/ 1 x))) 6.082 * [approximate]: Taking taylor expansion of (* x (sin (/ 1 x))) in (x) around 0 6.082 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 6.082 * [taylor]: Taking taylor expansion of x in x 6.082 * [backup-simplify]: Simplify 0 into 0 6.082 * [backup-simplify]: Simplify 1 into 1 6.082 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 6.082 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.082 * [taylor]: Taking taylor expansion of x in x 6.082 * [backup-simplify]: Simplify 0 into 0 6.082 * [backup-simplify]: Simplify 1 into 1 6.082 * [backup-simplify]: Simplify (/ 1 1) into 1 6.083 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 6.083 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 6.083 * [taylor]: Taking taylor expansion of x in x 6.083 * [backup-simplify]: Simplify 0 into 0 6.083 * [backup-simplify]: Simplify 1 into 1 6.083 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 6.083 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.083 * [taylor]: Taking taylor expansion of x in x 6.083 * [backup-simplify]: Simplify 0 into 0 6.083 * [backup-simplify]: Simplify 1 into 1 6.083 * [backup-simplify]: Simplify (/ 1 1) into 1 6.083 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 6.083 * [backup-simplify]: Simplify (* 0 (sin (/ 1 x))) into 0 6.083 * [backup-simplify]: Simplify 0 into 0 6.084 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ 1 x)))) into (sin (/ 1 x)) 6.084 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 6.085 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ 1 x))))) into 0 6.085 * [backup-simplify]: Simplify 0 into 0 6.086 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 6.086 * [backup-simplify]: Simplify 0 into 0 6.087 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 6.087 * [backup-simplify]: Simplify 0 into 0 6.089 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 6.089 * [backup-simplify]: Simplify 0 into 0 6.091 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 6.091 * [backup-simplify]: Simplify 0 into 0 6.094 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))))) into 0 6.094 * [backup-simplify]: Simplify 0 into 0 6.094 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 x))) (/ 1 x)) into (/ (sin x) x) 6.094 * [backup-simplify]: Simplify (/ (sin (/ 1 (- x))) (/ 1 (- x))) into (* -1 (* x (sin (/ -1 x)))) 6.094 * [approximate]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in (x) around 0 6.094 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 6.094 * [taylor]: Taking taylor expansion of -1 in x 6.094 * [backup-simplify]: Simplify -1 into -1 6.094 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 6.094 * [taylor]: Taking taylor expansion of x in x 6.094 * [backup-simplify]: Simplify 0 into 0 6.094 * [backup-simplify]: Simplify 1 into 1 6.094 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 6.094 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.095 * [taylor]: Taking taylor expansion of -1 in x 6.095 * [backup-simplify]: Simplify -1 into -1 6.095 * [taylor]: Taking taylor expansion of x in x 6.095 * [backup-simplify]: Simplify 0 into 0 6.095 * [backup-simplify]: Simplify 1 into 1 6.095 * [backup-simplify]: Simplify (/ -1 1) into -1 6.095 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 6.095 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 6.095 * [taylor]: Taking taylor expansion of -1 in x 6.095 * [backup-simplify]: Simplify -1 into -1 6.095 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 6.095 * [taylor]: Taking taylor expansion of x in x 6.095 * [backup-simplify]: Simplify 0 into 0 6.095 * [backup-simplify]: Simplify 1 into 1 6.095 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 6.095 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.095 * [taylor]: Taking taylor expansion of -1 in x 6.095 * [backup-simplify]: Simplify -1 into -1 6.095 * [taylor]: Taking taylor expansion of x in x 6.095 * [backup-simplify]: Simplify 0 into 0 6.095 * [backup-simplify]: Simplify 1 into 1 6.096 * [backup-simplify]: Simplify (/ -1 1) into -1 6.096 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 6.096 * [backup-simplify]: Simplify (* 0 (sin (/ -1 x))) into 0 6.097 * [backup-simplify]: Simplify (* -1 0) into 0 6.097 * [backup-simplify]: Simplify 0 into 0 6.097 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ -1 x)))) into (sin (/ -1 x)) 6.097 * [backup-simplify]: Simplify (+ (* -1 (sin (/ -1 x))) (* 0 0)) into (- (sin (/ -1 x))) 6.098 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x))) 6.098 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ -1 x))))) into 0 6.099 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))) into 0 6.099 * [backup-simplify]: Simplify 0 into 0 6.100 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 6.102 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))) into 0 6.102 * [backup-simplify]: Simplify 0 into 0 6.103 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 6.104 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))) into 0 6.105 * [backup-simplify]: Simplify 0 into 0 6.106 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 6.108 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))) into 0 6.108 * [backup-simplify]: Simplify 0 into 0 6.110 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 6.113 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))))) into 0 6.113 * [backup-simplify]: Simplify 0 into 0 6.115 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))))) into 0 6.118 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))))) into 0 6.118 * [backup-simplify]: Simplify 0 into 0 6.118 * [backup-simplify]: Simplify (* (- (sin (/ -1 (/ 1 (- x))))) (/ 1 (- x))) into (/ (sin x) x) 6.118 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 6.118 * [backup-simplify]: Simplify (/ (tan (/ x 2)) x) into (/ (tan (* 1/2 x)) x) 6.119 * [approximate]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in (x) around 0 6.119 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 6.119 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 6.120 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 6.120 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 6.120 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 6.121 * [taylor]: Taking taylor expansion of 1/2 in x 6.121 * [backup-simplify]: Simplify 1/2 into 1/2 6.121 * [taylor]: Taking taylor expansion of x in x 6.121 * [backup-simplify]: Simplify 0 into 0 6.121 * [backup-simplify]: Simplify 1 into 1 6.121 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.122 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.122 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 6.122 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 6.122 * [taylor]: Taking taylor expansion of 1/2 in x 6.122 * [backup-simplify]: Simplify 1/2 into 1/2 6.122 * [taylor]: Taking taylor expansion of x in x 6.122 * [backup-simplify]: Simplify 0 into 0 6.122 * [backup-simplify]: Simplify 1 into 1 6.122 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.123 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.124 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 6.124 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.124 * [taylor]: Taking taylor expansion of x in x 6.124 * [backup-simplify]: Simplify 0 into 0 6.124 * [backup-simplify]: Simplify 1 into 1 6.125 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.125 * [taylor]: Taking taylor expansion of (/ (tan (* 1/2 x)) x) in x 6.125 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 6.125 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 6.125 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 6.125 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 6.125 * [taylor]: Taking taylor expansion of 1/2 in x 6.125 * [backup-simplify]: Simplify 1/2 into 1/2 6.125 * [taylor]: Taking taylor expansion of x in x 6.125 * [backup-simplify]: Simplify 0 into 0 6.125 * [backup-simplify]: Simplify 1 into 1 6.126 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.126 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.126 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 6.126 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 6.126 * [taylor]: Taking taylor expansion of 1/2 in x 6.126 * [backup-simplify]: Simplify 1/2 into 1/2 6.126 * [taylor]: Taking taylor expansion of x in x 6.126 * [backup-simplify]: Simplify 0 into 0 6.126 * [backup-simplify]: Simplify 1 into 1 6.127 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.128 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.128 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 6.129 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.129 * [taylor]: Taking taylor expansion of x in x 6.129 * [backup-simplify]: Simplify 0 into 0 6.129 * [backup-simplify]: Simplify 1 into 1 6.129 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.129 * [backup-simplify]: Simplify 1/2 into 1/2 6.130 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 6.131 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.131 * [backup-simplify]: Simplify (+ 0) into 0 6.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.133 * [backup-simplify]: Simplify 0 into 0 6.134 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.136 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 6.137 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 6.138 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 6.140 * [backup-simplify]: Simplify (- (/ 1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24 6.140 * [backup-simplify]: Simplify 1/24 into 1/24 6.141 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.142 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 6.143 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 6.145 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 6.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0 6.147 * [backup-simplify]: Simplify 0 into 0 6.149 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.152 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840 6.153 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.159 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 6.160 * [backup-simplify]: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/240 6.161 * [backup-simplify]: Simplify (- (/ 1/240 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/240 6.161 * [backup-simplify]: Simplify 1/240 into 1/240 6.161 * [backup-simplify]: Simplify (+ (* 1/240 (pow x 4)) (+ (* 1/24 (pow x 2)) 1/2)) into (+ (* 1/24 (pow x 2)) (+ (* 1/240 (pow x 4)) 1/2)) 6.162 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 x) 2)) (/ 1 x)) into (* (tan (/ 1/2 x)) x) 6.162 * [approximate]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in (x) around 0 6.162 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 6.162 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 6.162 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 6.162 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 6.162 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 6.162 * [taylor]: Taking taylor expansion of 1/2 in x 6.162 * [backup-simplify]: Simplify 1/2 into 1/2 6.162 * [taylor]: Taking taylor expansion of x in x 6.162 * [backup-simplify]: Simplify 0 into 0 6.162 * [backup-simplify]: Simplify 1 into 1 6.162 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.162 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 6.162 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 6.162 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 6.162 * [taylor]: Taking taylor expansion of 1/2 in x 6.162 * [backup-simplify]: Simplify 1/2 into 1/2 6.162 * [taylor]: Taking taylor expansion of x in x 6.162 * [backup-simplify]: Simplify 0 into 0 6.162 * [backup-simplify]: Simplify 1 into 1 6.163 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.163 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 6.163 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 6.163 * [taylor]: Taking taylor expansion of x in x 6.163 * [backup-simplify]: Simplify 0 into 0 6.163 * [backup-simplify]: Simplify 1 into 1 6.163 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) x) in x 6.163 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 6.163 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 6.163 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 6.163 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 6.163 * [taylor]: Taking taylor expansion of 1/2 in x 6.163 * [backup-simplify]: Simplify 1/2 into 1/2 6.163 * [taylor]: Taking taylor expansion of x in x 6.163 * [backup-simplify]: Simplify 0 into 0 6.163 * [backup-simplify]: Simplify 1 into 1 6.163 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.163 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 6.163 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 6.163 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 6.163 * [taylor]: Taking taylor expansion of 1/2 in x 6.163 * [backup-simplify]: Simplify 1/2 into 1/2 6.164 * [taylor]: Taking taylor expansion of x in x 6.164 * [backup-simplify]: Simplify 0 into 0 6.164 * [backup-simplify]: Simplify 1 into 1 6.164 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.164 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 6.164 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 6.164 * [taylor]: Taking taylor expansion of x in x 6.164 * [backup-simplify]: Simplify 0 into 0 6.164 * [backup-simplify]: Simplify 1 into 1 6.164 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) into 0 6.164 * [backup-simplify]: Simplify 0 into 0 6.164 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 6.165 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1) (* 0 0)) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 6.165 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 6.165 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 6.166 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 1) (* 0 0))) into 0 6.166 * [backup-simplify]: Simplify 0 into 0 6.166 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 6.167 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.167 * [backup-simplify]: Simplify 0 into 0 6.167 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 6.168 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.168 * [backup-simplify]: Simplify 0 into 0 6.168 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 6.169 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.169 * [backup-simplify]: Simplify 0 into 0 6.170 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 6.171 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 6.171 * [backup-simplify]: Simplify 0 into 0 6.171 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 6.172 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 6.172 * [backup-simplify]: Simplify 0 into 0 6.172 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 (/ 1 x))) (cos (/ 1/2 (/ 1 x)))) (/ 1 x)) into (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) 6.172 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x))) into (* -1 (* x (tan (/ -1/2 x)))) 6.172 * [approximate]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in (x) around 0 6.172 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 6.172 * [taylor]: Taking taylor expansion of -1 in x 6.172 * [backup-simplify]: Simplify -1 into -1 6.173 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 6.173 * [taylor]: Taking taylor expansion of x in x 6.173 * [backup-simplify]: Simplify 0 into 0 6.173 * [backup-simplify]: Simplify 1 into 1 6.173 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 6.173 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 6.173 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 6.173 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 6.173 * [taylor]: Taking taylor expansion of -1/2 in x 6.173 * [backup-simplify]: Simplify -1/2 into -1/2 6.173 * [taylor]: Taking taylor expansion of x in x 6.173 * [backup-simplify]: Simplify 0 into 0 6.173 * [backup-simplify]: Simplify 1 into 1 6.173 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.173 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 6.173 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 6.173 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 6.173 * [taylor]: Taking taylor expansion of -1/2 in x 6.173 * [backup-simplify]: Simplify -1/2 into -1/2 6.173 * [taylor]: Taking taylor expansion of x in x 6.173 * [backup-simplify]: Simplify 0 into 0 6.173 * [backup-simplify]: Simplify 1 into 1 6.174 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.174 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 6.174 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 6.174 * [taylor]: Taking taylor expansion of (* -1 (* x (tan (/ -1/2 x)))) in x 6.174 * [taylor]: Taking taylor expansion of -1 in x 6.174 * [backup-simplify]: Simplify -1 into -1 6.174 * [taylor]: Taking taylor expansion of (* x (tan (/ -1/2 x))) in x 6.174 * [taylor]: Taking taylor expansion of x in x 6.174 * [backup-simplify]: Simplify 0 into 0 6.174 * [backup-simplify]: Simplify 1 into 1 6.174 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 6.174 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 6.174 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 6.174 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 6.174 * [taylor]: Taking taylor expansion of -1/2 in x 6.174 * [backup-simplify]: Simplify -1/2 into -1/2 6.174 * [taylor]: Taking taylor expansion of x in x 6.174 * [backup-simplify]: Simplify 0 into 0 6.174 * [backup-simplify]: Simplify 1 into 1 6.174 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.174 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 6.174 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 6.174 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 6.175 * [taylor]: Taking taylor expansion of -1/2 in x 6.175 * [backup-simplify]: Simplify -1/2 into -1/2 6.175 * [taylor]: Taking taylor expansion of x in x 6.175 * [backup-simplify]: Simplify 0 into 0 6.175 * [backup-simplify]: Simplify 1 into 1 6.175 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.175 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 6.175 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 6.175 * [backup-simplify]: Simplify (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into 0 6.175 * [backup-simplify]: Simplify (* -1 0) into 0 6.176 * [backup-simplify]: Simplify 0 into 0 6.176 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 6.176 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 6.176 * [backup-simplify]: Simplify (+ (* -1 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 6.177 * [backup-simplify]: Simplify (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (- (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) 6.177 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 6.177 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0 6.178 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))) into 0 6.178 * [backup-simplify]: Simplify 0 into 0 6.178 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 6.179 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 6.180 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))) into 0 6.180 * [backup-simplify]: Simplify 0 into 0 6.180 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 6.181 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0 6.183 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))))) into 0 6.183 * [backup-simplify]: Simplify 0 into 0 6.183 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 6.184 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0 6.186 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))))) into 0 6.186 * [backup-simplify]: Simplify 0 into 0 6.186 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 6.188 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))))) into 0 6.189 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0))))))) into 0 6.189 * [backup-simplify]: Simplify 0 into 0 6.190 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 6.192 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))))) into 0 6.194 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) (* 0 0)))))))) into 0 6.194 * [backup-simplify]: Simplify 0 into 0 6.194 * [backup-simplify]: Simplify (* (- (/ (sin (/ -1/2 (/ 1 (- x)))) (cos (/ -1/2 (/ 1 (- x)))))) (/ 1 (- x))) into (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) 6.194 * * * * [progress]: [ 3 / 3 ] generating series at (2) 6.194 * [backup-simplify]: Simplify (* (/ (sin x) x) (/ (tan (/ x 2)) x)) into (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) 6.194 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in (x) around 0 6.194 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 6.194 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 6.194 * [taylor]: Taking taylor expansion of (sin x) in x 6.194 * [taylor]: Taking taylor expansion of x in x 6.194 * [backup-simplify]: Simplify 0 into 0 6.195 * [backup-simplify]: Simplify 1 into 1 6.195 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 6.195 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 6.195 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 6.195 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 6.195 * [taylor]: Taking taylor expansion of 1/2 in x 6.195 * [backup-simplify]: Simplify 1/2 into 1/2 6.195 * [taylor]: Taking taylor expansion of x in x 6.195 * [backup-simplify]: Simplify 0 into 0 6.195 * [backup-simplify]: Simplify 1 into 1 6.195 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.196 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.196 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 6.196 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 6.196 * [taylor]: Taking taylor expansion of 1/2 in x 6.196 * [backup-simplify]: Simplify 1/2 into 1/2 6.196 * [taylor]: Taking taylor expansion of x in x 6.196 * [backup-simplify]: Simplify 0 into 0 6.196 * [backup-simplify]: Simplify 1 into 1 6.196 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.197 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.197 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 6.198 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.198 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.198 * [taylor]: Taking taylor expansion of x in x 6.198 * [backup-simplify]: Simplify 0 into 0 6.198 * [backup-simplify]: Simplify 1 into 1 6.198 * [backup-simplify]: Simplify (* 0 1/2) into 0 6.199 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 6.199 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.199 * [backup-simplify]: Simplify (+ 0) into 0 6.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.200 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 6.201 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 6.201 * [backup-simplify]: Simplify (* 1 1) into 1 6.201 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.201 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 6.201 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 6.201 * [taylor]: Taking taylor expansion of (sin x) in x 6.201 * [taylor]: Taking taylor expansion of x in x 6.201 * [backup-simplify]: Simplify 0 into 0 6.201 * [backup-simplify]: Simplify 1 into 1 6.201 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 6.201 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 6.202 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 6.202 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 6.202 * [taylor]: Taking taylor expansion of 1/2 in x 6.202 * [backup-simplify]: Simplify 1/2 into 1/2 6.202 * [taylor]: Taking taylor expansion of x in x 6.202 * [backup-simplify]: Simplify 0 into 0 6.202 * [backup-simplify]: Simplify 1 into 1 6.202 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.202 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.202 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 6.202 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 6.202 * [taylor]: Taking taylor expansion of 1/2 in x 6.202 * [backup-simplify]: Simplify 1/2 into 1/2 6.202 * [taylor]: Taking taylor expansion of x in x 6.202 * [backup-simplify]: Simplify 0 into 0 6.202 * [backup-simplify]: Simplify 1 into 1 6.203 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.203 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.204 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 6.204 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.204 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.204 * [taylor]: Taking taylor expansion of x in x 6.204 * [backup-simplify]: Simplify 0 into 0 6.204 * [backup-simplify]: Simplify 1 into 1 6.204 * [backup-simplify]: Simplify (* 0 1/2) into 0 6.205 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 6.205 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.206 * [backup-simplify]: Simplify (+ 0) into 0 6.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.207 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 6.207 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 6.207 * [backup-simplify]: Simplify (* 1 1) into 1 6.208 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.208 * [backup-simplify]: Simplify 1/2 into 1/2 6.208 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.209 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 6.210 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 6.211 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 6.212 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.213 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0 6.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.214 * [backup-simplify]: Simplify 0 into 0 6.215 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.216 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 6.217 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 6.218 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 6.220 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 6.221 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24 6.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.222 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 6.222 * [backup-simplify]: Simplify -1/24 into -1/24 6.223 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.227 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840 6.228 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.231 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 6.233 * [backup-simplify]: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/240 6.235 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 6.237 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0 6.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 6.239 * [backup-simplify]: Simplify 0 into 0 6.240 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 6.244 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 6.246 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.248 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/384 1)) (* 1/24 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/240 (/ 0 1)))) into 0 6.253 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 6.255 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720 6.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.258 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 6.258 * [backup-simplify]: Simplify 1/720 into 1/720 6.258 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 6.259 * [backup-simplify]: Simplify (* (/ (sin (/ 1 x)) (/ 1 x)) (/ (tan (/ (/ 1 x) 2)) (/ 1 x))) into (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) 6.259 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in (x) around 0 6.259 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 6.259 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.259 * [taylor]: Taking taylor expansion of x in x 6.259 * [backup-simplify]: Simplify 0 into 0 6.259 * [backup-simplify]: Simplify 1 into 1 6.259 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 6.259 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 6.259 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 6.259 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 6.259 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 6.259 * [taylor]: Taking taylor expansion of 1/2 in x 6.259 * [backup-simplify]: Simplify 1/2 into 1/2 6.259 * [taylor]: Taking taylor expansion of x in x 6.259 * [backup-simplify]: Simplify 0 into 0 6.259 * [backup-simplify]: Simplify 1 into 1 6.260 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.260 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 6.260 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 6.260 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 6.260 * [taylor]: Taking taylor expansion of 1/2 in x 6.260 * [backup-simplify]: Simplify 1/2 into 1/2 6.260 * [taylor]: Taking taylor expansion of x in x 6.260 * [backup-simplify]: Simplify 0 into 0 6.260 * [backup-simplify]: Simplify 1 into 1 6.260 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.260 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 6.260 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 6.260 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 6.260 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.261 * [taylor]: Taking taylor expansion of x in x 6.261 * [backup-simplify]: Simplify 0 into 0 6.261 * [backup-simplify]: Simplify 1 into 1 6.261 * [backup-simplify]: Simplify (/ 1 1) into 1 6.261 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 6.261 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 6.261 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.261 * [taylor]: Taking taylor expansion of x in x 6.261 * [backup-simplify]: Simplify 0 into 0 6.261 * [backup-simplify]: Simplify 1 into 1 6.261 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 6.261 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 6.261 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 6.261 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 6.261 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 6.261 * [taylor]: Taking taylor expansion of 1/2 in x 6.261 * [backup-simplify]: Simplify 1/2 into 1/2 6.261 * [taylor]: Taking taylor expansion of x in x 6.261 * [backup-simplify]: Simplify 0 into 0 6.261 * [backup-simplify]: Simplify 1 into 1 6.262 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.262 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 6.262 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 6.262 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 6.262 * [taylor]: Taking taylor expansion of 1/2 in x 6.262 * [backup-simplify]: Simplify 1/2 into 1/2 6.262 * [taylor]: Taking taylor expansion of x in x 6.262 * [backup-simplify]: Simplify 0 into 0 6.262 * [backup-simplify]: Simplify 1 into 1 6.263 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.263 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 6.263 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 6.263 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 6.263 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.263 * [taylor]: Taking taylor expansion of x in x 6.263 * [backup-simplify]: Simplify 0 into 0 6.263 * [backup-simplify]: Simplify 1 into 1 6.263 * [backup-simplify]: Simplify (/ 1 1) into 1 6.263 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 6.264 * [backup-simplify]: Simplify (* 1 1) into 1 6.264 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 6.264 * [backup-simplify]: Simplify (* 1 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 6.264 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 6.265 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 6.265 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0 6.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into 0 6.266 * [backup-simplify]: Simplify 0 into 0 6.266 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 6.269 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 6.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0 6.271 * [backup-simplify]: Simplify 0 into 0 6.271 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 6.272 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 6.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))) into 0 6.274 * [backup-simplify]: Simplify 0 into 0 6.275 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 6.276 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 6.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))) into 0 6.279 * [backup-simplify]: Simplify 0 into 0 6.280 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 6.281 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 6.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))))) into 0 6.284 * [backup-simplify]: Simplify 0 into 0 6.285 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 6.287 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 6.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))))) into 0 6.291 * [backup-simplify]: Simplify 0 into 0 6.291 * [backup-simplify]: Simplify (* (/ (* (sin (/ 1 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (cos (/ 1/2 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 6.291 * [backup-simplify]: Simplify (* (/ (sin (/ 1 (- x))) (/ 1 (- x))) (/ (tan (/ (/ 1 (- x)) 2)) (/ 1 (- x)))) into (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) 6.291 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in (x) around 0 6.291 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 6.291 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.291 * [taylor]: Taking taylor expansion of x in x 6.291 * [backup-simplify]: Simplify 0 into 0 6.291 * [backup-simplify]: Simplify 1 into 1 6.292 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 6.292 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 6.292 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 6.292 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 6.292 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 6.292 * [taylor]: Taking taylor expansion of -1/2 in x 6.292 * [backup-simplify]: Simplify -1/2 into -1/2 6.292 * [taylor]: Taking taylor expansion of x in x 6.292 * [backup-simplify]: Simplify 0 into 0 6.292 * [backup-simplify]: Simplify 1 into 1 6.292 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.292 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 6.292 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 6.292 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 6.292 * [taylor]: Taking taylor expansion of -1/2 in x 6.293 * [backup-simplify]: Simplify -1/2 into -1/2 6.293 * [taylor]: Taking taylor expansion of x in x 6.293 * [backup-simplify]: Simplify 0 into 0 6.293 * [backup-simplify]: Simplify 1 into 1 6.293 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.293 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 6.293 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 6.293 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 6.293 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.293 * [taylor]: Taking taylor expansion of -1 in x 6.293 * [backup-simplify]: Simplify -1 into -1 6.293 * [taylor]: Taking taylor expansion of x in x 6.293 * [backup-simplify]: Simplify 0 into 0 6.293 * [backup-simplify]: Simplify 1 into 1 6.294 * [backup-simplify]: Simplify (/ -1 1) into -1 6.294 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 6.294 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 6.294 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.294 * [taylor]: Taking taylor expansion of x in x 6.294 * [backup-simplify]: Simplify 0 into 0 6.294 * [backup-simplify]: Simplify 1 into 1 6.294 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 6.294 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 6.294 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 6.294 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 6.294 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 6.294 * [taylor]: Taking taylor expansion of -1/2 in x 6.294 * [backup-simplify]: Simplify -1/2 into -1/2 6.294 * [taylor]: Taking taylor expansion of x in x 6.294 * [backup-simplify]: Simplify 0 into 0 6.294 * [backup-simplify]: Simplify 1 into 1 6.295 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.295 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 6.295 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 6.295 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 6.295 * [taylor]: Taking taylor expansion of -1/2 in x 6.295 * [backup-simplify]: Simplify -1/2 into -1/2 6.295 * [taylor]: Taking taylor expansion of x in x 6.295 * [backup-simplify]: Simplify 0 into 0 6.295 * [backup-simplify]: Simplify 1 into 1 6.295 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.296 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 6.296 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 6.296 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 6.296 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.296 * [taylor]: Taking taylor expansion of -1 in x 6.296 * [backup-simplify]: Simplify -1 into -1 6.296 * [taylor]: Taking taylor expansion of x in x 6.296 * [backup-simplify]: Simplify 0 into 0 6.296 * [backup-simplify]: Simplify 1 into 1 6.296 * [backup-simplify]: Simplify (/ -1 1) into -1 6.296 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 6.297 * [backup-simplify]: Simplify (* 1 1) into 1 6.297 * [backup-simplify]: Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 6.297 * [backup-simplify]: Simplify (* 1 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 6.297 * [backup-simplify]: Simplify (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 6.298 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 6.298 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0 6.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into 0 6.299 * [backup-simplify]: Simplify 0 into 0 6.299 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 6.300 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 6.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0 6.302 * [backup-simplify]: Simplify 0 into 0 6.302 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 6.303 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 6.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0 6.305 * [backup-simplify]: Simplify 0 into 0 6.306 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 6.307 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 6.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))) into 0 6.310 * [backup-simplify]: Simplify 0 into 0 6.310 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 6.312 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 6.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))))) into 0 6.315 * [backup-simplify]: Simplify 0 into 0 6.316 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 6.318 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 6.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))))) into 0 6.321 * [backup-simplify]: Simplify 0 into 0 6.322 * [backup-simplify]: Simplify (* (/ (* (sin (/ -1 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 6.322 * * * [progress]: simplifying candidates 6.322 * * * * [progress]: [ 1 / 123 ] simplifiying candidate # 6.322 * * * * [progress]: [ 2 / 123 ] simplifiying candidate # 6.322 * * * * [progress]: [ 3 / 123 ] simplifiying candidate # 6.322 * * * * [progress]: [ 4 / 123 ] simplifiying candidate # 6.322 * * * * [progress]: [ 5 / 123 ] simplifiying candidate # 6.322 * * * * [progress]: [ 6 / 123 ] simplifiying candidate # 6.322 * * * * [progress]: [ 7 / 123 ] simplifiying candidate # 6.322 * * * * [progress]: [ 8 / 123 ] simplifiying candidate # 6.323 * * * * [progress]: [ 9 / 123 ] simplifiying candidate # 6.323 * * * * [progress]: [ 10 / 123 ] simplifiying candidate # 6.323 * * * * [progress]: [ 11 / 123 ] simplifiying candidate # 6.323 * * * * [progress]: [ 12 / 123 ] simplifiying candidate # 6.323 * * * * [progress]: [ 13 / 123 ] simplifiying candidate # 6.323 * * * * [progress]: [ 14 / 123 ] simplifiying candidate # 6.323 * * * * [progress]: [ 15 / 123 ] simplifiying candidate # 6.323 * * * * [progress]: [ 16 / 123 ] simplifiying candidate # 6.323 * * * * [progress]: [ 17 / 123 ] simplifiying candidate # 6.323 * * * * [progress]: [ 18 / 123 ] simplifiying candidate # 6.323 * * * * [progress]: [ 19 / 123 ] simplifiying candidate # 6.323 * * * * [progress]: [ 20 / 123 ] simplifiying candidate # 6.323 * * * * [progress]: [ 21 / 123 ] simplifiying candidate # 6.323 * * * * [progress]: [ 22 / 123 ] simplifiying candidate # 6.323 * * * * [progress]: [ 23 / 123 ] simplifiying candidate # 6.323 * * * * [progress]: [ 24 / 123 ] simplifiying candidate # 6.323 * * * * [progress]: [ 25 / 123 ] simplifiying candidate # 6.324 * * * * [progress]: [ 26 / 123 ] simplifiying candidate # 6.324 * * * * [progress]: [ 27 / 123 ] simplifiying candidate # 6.324 * * * * [progress]: [ 28 / 123 ] simplifiying candidate # 6.324 * * * * [progress]: [ 29 / 123 ] simplifiying candidate # 6.324 * * * * [progress]: [ 30 / 123 ] simplifiying candidate #real (real->posit16 (/ (sin x) x))) (/ (tan (/ x 2)) x)))> 6.324 * * * * [progress]: [ 31 / 123 ] simplifiying candidate # 6.324 * * * * [progress]: [ 32 / 123 ] simplifiying candidate # 6.324 * * * * [progress]: [ 33 / 123 ] simplifiying candidate # 6.324 * * * * [progress]: [ 34 / 123 ] simplifiying candidate # 6.324 * * * * [progress]: [ 35 / 123 ] simplifiying candidate # 6.324 * * * * [progress]: [ 36 / 123 ] simplifiying candidate # 6.324 * * * * [progress]: [ 37 / 123 ] simplifiying candidate # 6.324 * * * * [progress]: [ 38 / 123 ] simplifiying candidate # 6.324 * * * * [progress]: [ 39 / 123 ] simplifiying candidate # 6.324 * * * * [progress]: [ 40 / 123 ] simplifiying candidate # 6.324 * * * * [progress]: [ 41 / 123 ] simplifiying candidate # 6.324 * * * * [progress]: [ 42 / 123 ] simplifiying candidate # 6.325 * * * * [progress]: [ 43 / 123 ] simplifiying candidate # 6.325 * * * * [progress]: [ 44 / 123 ] simplifiying candidate # 6.325 * * * * [progress]: [ 45 / 123 ] simplifiying candidate # 6.325 * * * * [progress]: [ 46 / 123 ] simplifiying candidate # 6.325 * * * * [progress]: [ 47 / 123 ] simplifiying candidate # 6.325 * * * * [progress]: [ 48 / 123 ] simplifiying candidate # 6.325 * * * * [progress]: [ 49 / 123 ] simplifiying candidate # 6.325 * * * * [progress]: [ 50 / 123 ] simplifiying candidate # 6.325 * * * * [progress]: [ 51 / 123 ] simplifiying candidate # 6.325 * * * * [progress]: [ 52 / 123 ] simplifiying candidate # 6.325 * * * * [progress]: [ 53 / 123 ] simplifiying candidate # 6.325 * * * * [progress]: [ 54 / 123 ] simplifiying candidate # 6.325 * * * * [progress]: [ 55 / 123 ] simplifiying candidate # 6.325 * * * * [progress]: [ 56 / 123 ] simplifiying candidate # 6.325 * * * * [progress]: [ 57 / 123 ] simplifiying candidate # 6.325 * * * * [progress]: [ 58 / 123 ] simplifiying candidate # 6.325 * * * * [progress]: [ 59 / 123 ] simplifiying candidate # 6.326 * * * * [progress]: [ 60 / 123 ] simplifiying candidate # 6.326 * * * * [progress]: [ 61 / 123 ] simplifiying candidate #real (real->posit16 (/ (tan (/ x 2)) x)))))> 6.326 * * * * [progress]: [ 62 / 123 ] simplifiying candidate # 6.326 * * * * [progress]: [ 63 / 123 ] simplifiying candidate # 6.326 * * * * [progress]: [ 64 / 123 ] simplifiying candidate # 6.326 * * * * [progress]: [ 65 / 123 ] simplifiying candidate # 6.326 * * * * [progress]: [ 66 / 123 ] simplifiying candidate # 6.326 * * * * [progress]: [ 67 / 123 ] simplifiying candidate # 6.326 * * * * [progress]: [ 68 / 123 ] simplifiying candidate # 6.326 * * * * [progress]: [ 69 / 123 ] simplifiying candidate # 6.326 * * * * [progress]: [ 70 / 123 ] simplifiying candidate # 6.326 * * * * [progress]: [ 71 / 123 ] simplifiying candidate # 6.326 * * * * [progress]: [ 72 / 123 ] simplifiying candidate # 6.326 * * * * [progress]: [ 73 / 123 ] simplifiying candidate # 6.326 * * * * [progress]: [ 74 / 123 ] simplifiying candidate # 6.326 * * * * [progress]: [ 75 / 123 ] simplifiying candidate # 6.326 * * * * [progress]: [ 76 / 123 ] simplifiying candidate # 6.327 * * * * [progress]: [ 77 / 123 ] simplifiying candidate # 6.327 * * * * [progress]: [ 78 / 123 ] simplifiying candidate # 6.327 * * * * [progress]: [ 79 / 123 ] simplifiying candidate # 6.327 * * * * [progress]: [ 80 / 123 ] simplifiying candidate # 6.327 * * * * [progress]: [ 81 / 123 ] simplifiying candidate # 6.327 * * * * [progress]: [ 82 / 123 ] simplifiying candidate # 6.327 * * * * [progress]: [ 83 / 123 ] simplifiying candidate # 6.327 * * * * [progress]: [ 84 / 123 ] simplifiying candidate # 6.327 * * * * [progress]: [ 85 / 123 ] simplifiying candidate # 6.327 * * * * [progress]: [ 86 / 123 ] simplifiying candidate # 6.327 * * * * [progress]: [ 87 / 123 ] simplifiying candidate # 6.327 * * * * [progress]: [ 88 / 123 ] simplifiying candidate # 6.327 * * * * [progress]: [ 89 / 123 ] simplifiying candidate # 6.328 * * * * [progress]: [ 90 / 123 ] simplifiying candidate # 6.328 * * * * [progress]: [ 91 / 123 ] simplifiying candidate # 6.328 * * * * [progress]: [ 92 / 123 ] simplifiying candidate # 6.328 * * * * [progress]: [ 93 / 123 ] simplifiying candidate # 6.328 * * * * [progress]: [ 94 / 123 ] simplifiying candidate # 6.328 * * * * [progress]: [ 95 / 123 ] simplifiying candidate # 6.328 * * * * [progress]: [ 96 / 123 ] simplifiying candidate # 6.328 * * * * [progress]: [ 97 / 123 ] simplifiying candidate # 6.328 * * * * [progress]: [ 98 / 123 ] simplifiying candidate # 6.328 * * * * [progress]: [ 99 / 123 ] simplifiying candidate # 6.328 * * * * [progress]: [ 100 / 123 ] simplifiying candidate # 6.328 * * * * [progress]: [ 101 / 123 ] simplifiying candidate # 6.328 * * * * [progress]: [ 102 / 123 ] simplifiying candidate # 6.328 * * * * [progress]: [ 103 / 123 ] simplifiying candidate # 6.328 * * * * [progress]: [ 104 / 123 ] simplifiying candidate # 6.328 * * * * [progress]: [ 105 / 123 ] simplifiying candidate # 6.328 * * * * [progress]: [ 106 / 123 ] simplifiying candidate # 6.329 * * * * [progress]: [ 107 / 123 ] simplifiying candidate # 6.329 * * * * [progress]: [ 108 / 123 ] simplifiying candidate # 6.329 * * * * [progress]: [ 109 / 123 ] simplifiying candidate # 6.329 * * * * [progress]: [ 110 / 123 ] simplifiying candidate # 6.329 * * * * [progress]: [ 111 / 123 ] simplifiying candidate # 6.329 * * * * [progress]: [ 112 / 123 ] simplifiying candidate # 6.329 * * * * [progress]: [ 113 / 123 ] simplifiying candidate #real (real->posit16 (* (/ (sin x) x) (/ (tan (/ x 2)) x)))))> 6.329 * * * * [progress]: [ 114 / 123 ] simplifiying candidate # 6.329 * * * * [progress]: [ 115 / 123 ] simplifiying candidate # 6.329 * * * * [progress]: [ 116 / 123 ] simplifiying candidate # 6.329 * * * * [progress]: [ 117 / 123 ] simplifiying candidate # 6.329 * * * * [progress]: [ 118 / 123 ] simplifiying candidate # 6.329 * * * * [progress]: [ 119 / 123 ] simplifiying candidate # 6.329 * * * * [progress]: [ 120 / 123 ] simplifiying candidate # 6.329 * * * * [progress]: [ 121 / 123 ] simplifiying candidate # 6.329 * * * * [progress]: [ 122 / 123 ] simplifiying candidate # 6.329 * * * * [progress]: [ 123 / 123 ] simplifiying candidate # 6.331 * [simplify]: Simplifying: (expm1 (/ (sin x) x)) (log1p (/ (sin x) x)) (- (log (sin x)) (log x)) (log (/ (sin x) x)) (exp (/ (sin x) x)) (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x))) (cbrt (/ (sin x) x)) (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (sqrt (/ (sin x) x)) (sqrt (/ (sin x) x)) (- (sin x)) (- x) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt x) (cbrt x))) (/ (cbrt (sin x)) (cbrt x)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt x)) (/ (cbrt (sin x)) (sqrt x)) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) x) (/ (sqrt (sin x)) (* (cbrt x) (cbrt x))) (/ (sqrt (sin x)) (cbrt x)) (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sin x) (cbrt x)) (/ 1 (sqrt x)) (/ (sin x) (sqrt x)) (/ 1 1) (/ (sin x) x) (/ 1 x) (/ x (sin x)) (/ (sin x) (* (cbrt x) (cbrt x))) (/ (sin x) (sqrt x)) (/ (sin x) 1) (/ x (cbrt (sin x))) (/ x (sqrt (sin x))) (/ x (sin x)) (real->posit16 (/ (sin x) x)) (expm1 (/ (tan (/ x 2)) x)) (log1p (/ (tan (/ x 2)) x)) (- (log (tan (/ x 2))) (log x)) (log (/ (tan (/ x 2)) x)) (exp (/ (tan (/ x 2)) x)) (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x)) (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x))) (cbrt (/ (tan (/ x 2)) x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x)) (sqrt (/ (tan (/ x 2)) x)) (sqrt (/ (tan (/ x 2)) x)) (- (tan (/ x 2))) (- x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (* (cbrt x) (cbrt x))) (/ (cbrt (tan (/ x 2))) (cbrt x)) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (sqrt x)) (/ (cbrt (tan (/ x 2))) (sqrt x)) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) 1) (/ (cbrt (tan (/ x 2))) x) (/ (sqrt (tan (/ x 2))) (* (cbrt x) (cbrt x))) (/ (sqrt (tan (/ x 2))) (cbrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (tan (/ x 2))) 1) (/ (sqrt (tan (/ x 2))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (cbrt x)) (/ 1 (sqrt x)) (/ (tan (/ x 2)) (sqrt x)) (/ 1 1) (/ (tan (/ x 2)) x) (/ 1 x) (/ x (tan (/ x 2))) (/ (tan (/ x 2)) (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (sqrt x)) (/ (tan (/ x 2)) 1) (/ x (cbrt (tan (/ x 2)))) (/ x (sqrt (tan (/ x 2)))) (/ x (tan (/ x 2))) (* x (cos (/ x 2))) (real->posit16 (/ (tan (/ x 2)) x)) (expm1 (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (log1p (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (+ (- (log (sin x)) (log x)) (- (log (tan (/ x 2))) (log x))) (+ (- (log (sin x)) (log x)) (log (/ (tan (/ x 2)) x))) (+ (log (/ (sin x) x)) (- (log (tan (/ x 2))) (log x))) (+ (log (/ (sin x) x)) (log (/ (tan (/ x 2)) x))) (log (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (exp (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x))) (* (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (/ (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2))) (* (* x x) x))) (* (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (* (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x))) (* (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x)))) (cbrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (* (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (sqrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (sqrt (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (* (sin x) (tan (/ x 2))) (* x x) (* (sqrt (/ (sin x) x)) (sqrt (/ (tan (/ x 2)) x))) (* (sqrt (/ (sin x) x)) (sqrt (/ (tan (/ x 2)) x))) (* (sqrt (/ (sin x) x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (sqrt (/ (sin x) x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (/ (tan (/ x 2)) x))) (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (/ (tan (/ x 2)) x))) (* (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (/ (sin x) x) (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x)))) (* (/ (sin x) x) (sqrt (/ (tan (/ x 2)) x))) (* (/ (sin x) x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (* (cbrt x) (cbrt x)))) (* (/ (sin x) x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (sqrt x))) (* (/ (sin x) x) (/ (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) 1)) (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) (* (cbrt x) (cbrt x)))) (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (/ (sin x) x) (/ (sqrt (tan (/ x 2))) 1)) (* (/ (sin x) x) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ (sin x) x) (/ 1 (sqrt x))) (* (/ (sin x) x) (/ 1 1)) (* (/ (sin x) x) 1) (* (/ (sin x) x) (tan (/ x 2))) (* (cbrt (/ (sin x) x)) (/ (tan (/ x 2)) x)) (* (sqrt (/ (sin x) x)) (/ (tan (/ x 2)) x)) (* (/ (cbrt (sin x)) (cbrt x)) (/ (tan (/ x 2)) x)) (* (/ (cbrt (sin x)) (sqrt x)) (/ (tan (/ x 2)) x)) (* (/ (cbrt (sin x)) x) (/ (tan (/ x 2)) x)) (* (/ (sqrt (sin x)) (cbrt x)) (/ (tan (/ x 2)) x)) (* (/ (sqrt (sin x)) (sqrt x)) (/ (tan (/ x 2)) x)) (* (/ (sqrt (sin x)) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) (cbrt x)) (/ (tan (/ x 2)) x)) (* (/ (sin x) (sqrt x)) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (* (/ 1 x) (/ (tan (/ x 2)) x)) (* (/ (sin x) x) (tan (/ x 2))) (* (sin x) (/ (tan (/ x 2)) x)) (real->posit16 (* (/ (sin x) x) (/ (tan (/ x 2)) x))) (- (+ (* 1/120 (pow x 4)) 1) (* 1/6 (pow x 2))) (/ (sin x) x) (/ (sin x) x) (+ (* 1/24 (pow x 2)) (+ (* 1/240 (pow x 4)) 1/2)) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 6.334 * * [simplify]: iteration 0: 172 enodes 6.398 * * [simplify]: iteration 1: 453 enodes 6.581 * * [simplify]: iteration 2: 1573 enodes 7.614 * * [simplify]: iteration complete: 5002 enodes 7.614 * * [simplify]: Extracting #0: cost 107 inf + 0 7.616 * * [simplify]: Extracting #1: cost 729 inf + 1 7.621 * * [simplify]: Extracting #2: cost 1434 inf + 1430 7.631 * * [simplify]: Extracting #3: cost 1239 inf + 39991 7.669 * * [simplify]: Extracting #4: cost 702 inf + 187142 7.752 * * [simplify]: Extracting #5: cost 60 inf + 413196 7.822 * * [simplify]: Extracting #6: cost 0 inf + 436775 7.924 * [simplify]: Simplified to: (expm1 (/ (sin x) x)) (log1p (/ (sin x) x)) (log (/ (sin x) x)) (log (/ (sin x) x)) (exp (/ (sin x) x)) (* (/ (sin x) x) (* (/ (sin x) x) (/ (sin x) x))) (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x))) (cbrt (/ (sin x) x)) (* (/ (sin x) x) (* (/ (sin x) x) (/ (sin x) x))) (sqrt (/ (sin x) x)) (sqrt (/ (sin x) x)) (- (sin x)) (- x) (* (/ (cbrt (sin x)) (cbrt x)) (/ (cbrt (sin x)) (cbrt x))) (/ (cbrt (sin x)) (cbrt x)) (/ (cbrt (sin x)) (/ (sqrt x) (cbrt (sin x)))) (/ (cbrt (sin x)) (sqrt x)) (* (cbrt (sin x)) (cbrt (sin x))) (/ (cbrt (sin x)) x) (/ (sqrt (sin x)) (* (cbrt x) (cbrt x))) (/ (sqrt (sin x)) (cbrt x)) (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) (sqrt x)) (sqrt (sin x)) (/ (sqrt (sin x)) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (sin x) (cbrt x)) (/ 1 (sqrt x)) (/ (sin x) (sqrt x)) 1 (/ (sin x) x) (/ 1 x) (/ x (sin x)) (/ (sin x) (* (cbrt x) (cbrt x))) (/ (sin x) (sqrt x)) (sin x) (/ x (cbrt (sin x))) (/ x (sqrt (sin x))) (/ x (sin x)) (real->posit16 (/ (sin x) x)) (expm1 (/ (tan (/ x 2)) x)) (log1p (/ (tan (/ x 2)) x)) (log (/ (tan (/ x 2)) x)) (log (/ (tan (/ x 2)) x)) (exp (/ (tan (/ x 2)) x)) (* (/ (tan (/ x 2)) x) (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x))) (* (cbrt (/ (tan (/ x 2)) x)) (cbrt (/ (tan (/ x 2)) x))) (cbrt (/ (tan (/ x 2)) x)) (* (/ (tan (/ x 2)) x) (* (/ (tan (/ x 2)) x) (/ (tan (/ x 2)) x))) (sqrt (/ (tan (/ x 2)) x)) (sqrt (/ (tan (/ x 2)) x)) (- (tan (/ x 2))) (- x) (* (/ (cbrt (tan (/ x 2))) (cbrt x)) (/ (cbrt (tan (/ x 2))) (cbrt x))) (/ (cbrt (tan (/ x 2))) (cbrt x)) (/ (cbrt (tan (/ x 2))) (/ (sqrt x) (cbrt (tan (/ x 2))))) (/ (cbrt (tan (/ x 2))) (sqrt x)) (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (/ (cbrt (tan (/ x 2))) x) (/ (/ (sqrt (tan (/ x 2))) (cbrt x)) (cbrt x)) (/ (sqrt (tan (/ x 2))) (cbrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x)) (sqrt (tan (/ x 2))) (/ (sqrt (tan (/ x 2))) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (tan (/ x 2)) (cbrt x)) (/ 1 (sqrt x)) (/ (tan (/ x 2)) (sqrt x)) 1 (/ (tan (/ x 2)) x) (/ 1 x) (/ x (tan (/ x 2))) (/ (tan (/ x 2)) (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (sqrt x)) (tan (/ x 2)) (/ x (cbrt (tan (/ x 2)))) (/ x (sqrt (tan (/ x 2)))) (/ x (tan (/ x 2))) (* x (cos (/ x 2))) (real->posit16 (/ (tan (/ x 2)) x)) (expm1 (* (tan (/ x 2)) (/ (sin x) (* x x)))) (log1p (* (tan (/ x 2)) (/ (sin x) (* x x)))) (* (tan (/ x 2)) (/ (sin x) (* x x))) (log (* (tan (/ x 2)) (/ (sin x) (* x x)))) (log (* (tan (/ x 2)) (/ (sin x) (* x x)))) (log (* (tan (/ x 2)) (/ (sin x) (* x x)))) (log (* (tan (/ x 2)) (/ (sin x) (* x x)))) (log (* (tan (/ x 2)) (/ (sin x) (* x x)))) (exp (* (tan (/ x 2)) (/ (sin x) (* x x)))) (* (* (tan (/ x 2)) (/ (sin x) (* x x))) (* (* (tan (/ x 2)) (/ (sin x) (* x x))) (* (tan (/ x 2)) (/ (sin x) (* x x))))) (* (* (tan (/ x 2)) (/ (sin x) (* x x))) (* (* (tan (/ x 2)) (/ (sin x) (* x x))) (* (tan (/ x 2)) (/ (sin x) (* x x))))) (* (* (tan (/ x 2)) (/ (sin x) (* x x))) (* (* (tan (/ x 2)) (/ (sin x) (* x x))) (* (tan (/ x 2)) (/ (sin x) (* x x))))) (* (* (tan (/ x 2)) (/ (sin x) (* x x))) (* (* (tan (/ x 2)) (/ (sin x) (* x x))) (* (tan (/ x 2)) (/ (sin x) (* x x))))) (* (cbrt (* (tan (/ x 2)) (/ (sin x) (* x x)))) (cbrt (* (tan (/ x 2)) (/ (sin x) (* x x))))) (cbrt (* (tan (/ x 2)) (/ (sin x) (* x x)))) (* (* (tan (/ x 2)) (/ (sin x) (* x x))) (* (* (tan (/ x 2)) (/ (sin x) (* x x))) (* (tan (/ x 2)) (/ (sin x) (* x x))))) (sqrt (* (tan (/ x 2)) (/ (sin x) (* x x)))) (sqrt (* (tan (/ x 2)) (/ (sin x) (* x x)))) (* (sin x) (tan (/ x 2))) (* x x) (* (sqrt (/ (tan (/ x 2)) x)) (sqrt (/ (sin x) x))) (* (sqrt (/ (tan (/ x 2)) x)) (sqrt (/ (sin x) x))) (* (/ (sqrt (tan (/ x 2))) (sqrt x)) (sqrt (/ (sin x) x))) (* (/ (sqrt (tan (/ x 2))) (sqrt x)) (sqrt (/ (sin x) x))) (/ (* (sqrt (/ (tan (/ x 2)) x)) (sqrt (sin x))) (sqrt x)) (/ (* (sqrt (/ (tan (/ x 2)) x)) (sqrt (sin x))) (sqrt x)) (* (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (tan (/ x 2))) (sqrt x))) (* (cbrt (/ (tan (/ x 2)) x)) (* (cbrt (/ (tan (/ x 2)) x)) (/ (sin x) x))) (* (sqrt (/ (tan (/ x 2)) x)) (/ (sin x) x)) (/ (/ (sin x) x) (* (/ (cbrt x) (cbrt (tan (/ x 2)))) (/ (cbrt x) (cbrt (tan (/ x 2)))))) (/ (* (* (/ (sin x) x) (cbrt (tan (/ x 2)))) (cbrt (tan (/ x 2)))) (sqrt x)) (* (* (/ (sin x) x) (cbrt (tan (/ x 2)))) (cbrt (tan (/ x 2)))) (/ (/ (* (sqrt (tan (/ x 2))) (sin x)) x) (* (cbrt x) (cbrt x))) (/ (/ (* (sqrt (tan (/ x 2))) (sin x)) x) (sqrt x)) (/ (* (sqrt (tan (/ x 2))) (sin x)) x) (/ (/ (sin x) (* (cbrt x) (cbrt x))) x) (/ (/ (sin x) (sqrt x)) x) (/ (sin x) x) (/ (sin x) x) (* (sin x) (/ (tan (/ x 2)) x)) (* (cbrt (/ (sin x) x)) (/ (tan (/ x 2)) x)) (* (/ (tan (/ x 2)) x) (sqrt (/ (sin x) x))) (/ (/ (* (tan (/ x 2)) (cbrt (sin x))) x) (cbrt x)) (/ (* (cbrt (sin x)) (/ (tan (/ x 2)) x)) (sqrt x)) (* (/ (tan (/ x 2)) x) (/ (cbrt (sin x)) x)) (* (/ (sqrt (sin x)) (cbrt x)) (/ (tan (/ x 2)) x)) (* (/ (tan (/ x 2)) x) (/ (sqrt (sin x)) (sqrt x))) (* (/ (tan (/ x 2)) x) (/ (sqrt (sin x)) x)) (* (/ (tan (/ x 2)) x) (/ (sin x) (cbrt x))) (/ (sin x) (/ (sqrt x) (/ (tan (/ x 2)) x))) (* (tan (/ x 2)) (/ (sin x) (* x x))) (* (tan (/ x 2)) (/ (sin x) (* x x))) (/ (/ (tan (/ x 2)) x) x) (* (sin x) (/ (tan (/ x 2)) x)) (* (sin x) (/ (tan (/ x 2)) x)) (real->posit16 (* (tan (/ x 2)) (/ (sin x) (* x x)))) (fma (* x x) -1/6 (fma (* (* x x) (* x x)) 1/120 1)) (/ (sin x) x) (/ (sin x) x) (fma (* x x) 1/24 (fma 1/240 (* (* x x) (* x x)) 1/2)) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) (/ (sin (* 1/2 x)) (* (cos (* 1/2 x)) x)) (fma -1/24 (* x x) (fma 1/720 (* (* x x) (* x x)) 1/2)) (/ (sin x) (/ (* (cos (* 1/2 x)) (* x x)) (sin (* 1/2 x)))) (/ (sin x) (/ (* (cos (* 1/2 x)) (* x x)) (sin (* 1/2 x)))) 7.934 * * * [progress]: adding candidates to table 8.456 * * [progress]: iteration 4 / 4 8.456 * * * [progress]: picking best candidate 8.468 * * * * [pick]: Picked # 8.468 * * * [progress]: localizing error 8.487 * * * [progress]: generating rewritten candidates 8.487 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 8.511 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 8.520 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 8.546 * * * [progress]: generating series expansions 8.546 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 8.546 * [backup-simplify]: Simplify (* (/ (sin x) x) (tan (/ x 2))) into (/ (* (sin x) (tan (* 1/2 x))) x) 8.547 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) x) in (x) around 0 8.547 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) x) in x 8.547 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 8.547 * [taylor]: Taking taylor expansion of (sin x) in x 8.547 * [taylor]: Taking taylor expansion of x in x 8.547 * [backup-simplify]: Simplify 0 into 0 8.547 * [backup-simplify]: Simplify 1 into 1 8.547 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 8.547 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 8.547 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 8.547 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 8.547 * [taylor]: Taking taylor expansion of 1/2 in x 8.547 * [backup-simplify]: Simplify 1/2 into 1/2 8.547 * [taylor]: Taking taylor expansion of x in x 8.547 * [backup-simplify]: Simplify 0 into 0 8.547 * [backup-simplify]: Simplify 1 into 1 8.548 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.548 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.548 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 8.548 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 8.548 * [taylor]: Taking taylor expansion of 1/2 in x 8.548 * [backup-simplify]: Simplify 1/2 into 1/2 8.548 * [taylor]: Taking taylor expansion of x in x 8.548 * [backup-simplify]: Simplify 0 into 0 8.548 * [backup-simplify]: Simplify 1 into 1 8.549 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.549 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.550 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 8.550 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.550 * [taylor]: Taking taylor expansion of x in x 8.550 * [backup-simplify]: Simplify 0 into 0 8.550 * [backup-simplify]: Simplify 1 into 1 8.551 * [backup-simplify]: Simplify (* 0 1/2) into 0 8.551 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 8.552 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.552 * [backup-simplify]: Simplify (+ 0) into 0 8.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.554 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 8.554 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 8.555 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.555 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) x) in x 8.555 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 8.555 * [taylor]: Taking taylor expansion of (sin x) in x 8.555 * [taylor]: Taking taylor expansion of x in x 8.555 * [backup-simplify]: Simplify 0 into 0 8.555 * [backup-simplify]: Simplify 1 into 1 8.555 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 8.555 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 8.555 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 8.555 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 8.555 * [taylor]: Taking taylor expansion of 1/2 in x 8.555 * [backup-simplify]: Simplify 1/2 into 1/2 8.555 * [taylor]: Taking taylor expansion of x in x 8.555 * [backup-simplify]: Simplify 0 into 0 8.555 * [backup-simplify]: Simplify 1 into 1 8.555 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.556 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.556 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 8.556 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 8.556 * [taylor]: Taking taylor expansion of 1/2 in x 8.556 * [backup-simplify]: Simplify 1/2 into 1/2 8.556 * [taylor]: Taking taylor expansion of x in x 8.556 * [backup-simplify]: Simplify 0 into 0 8.556 * [backup-simplify]: Simplify 1 into 1 8.556 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.557 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.557 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 8.558 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.558 * [taylor]: Taking taylor expansion of x in x 8.558 * [backup-simplify]: Simplify 0 into 0 8.558 * [backup-simplify]: Simplify 1 into 1 8.558 * [backup-simplify]: Simplify (* 0 1/2) into 0 8.559 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 8.559 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.559 * [backup-simplify]: Simplify (+ 0) into 0 8.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.560 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 8.561 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 8.561 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.561 * [backup-simplify]: Simplify 1/2 into 1/2 8.562 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.563 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 8.564 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 8.565 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 8.566 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.567 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0 8.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.568 * [backup-simplify]: Simplify 0 into 0 8.569 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.571 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 8.572 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 8.573 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 8.575 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 8.576 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24 8.578 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 8.578 * [backup-simplify]: Simplify -1/24 into -1/24 8.579 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 8.581 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840 8.582 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.583 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 8.585 * [backup-simplify]: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/240 8.585 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 8.587 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0 8.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 8.587 * [backup-simplify]: Simplify 0 into 0 8.588 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 8.591 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 8.592 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.593 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/384 1)) (* 1/24 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/240 (/ 0 1)))) into 0 8.596 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 8.598 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720 8.599 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 8.599 * [backup-simplify]: Simplify 1/720 into 1/720 8.599 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 5)) (+ (* -1/24 (pow x 3)) (* 1/2 x))) into (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) 8.599 * [backup-simplify]: Simplify (* (/ (sin (/ 1 x)) (/ 1 x)) (tan (/ (/ 1 x) 2))) into (* x (* (tan (/ 1/2 x)) (sin (/ 1 x)))) 8.599 * [approximate]: Taking taylor expansion of (* x (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in (x) around 0 8.599 * [taylor]: Taking taylor expansion of (* x (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 8.599 * [taylor]: Taking taylor expansion of x in x 8.599 * [backup-simplify]: Simplify 0 into 0 8.599 * [backup-simplify]: Simplify 1 into 1 8.599 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 8.599 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 8.599 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 8.599 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 8.599 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 8.599 * [taylor]: Taking taylor expansion of 1/2 in x 8.599 * [backup-simplify]: Simplify 1/2 into 1/2 8.599 * [taylor]: Taking taylor expansion of x in x 8.599 * [backup-simplify]: Simplify 0 into 0 8.599 * [backup-simplify]: Simplify 1 into 1 8.600 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.600 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 8.600 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 8.600 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 8.600 * [taylor]: Taking taylor expansion of 1/2 in x 8.600 * [backup-simplify]: Simplify 1/2 into 1/2 8.600 * [taylor]: Taking taylor expansion of x in x 8.600 * [backup-simplify]: Simplify 0 into 0 8.600 * [backup-simplify]: Simplify 1 into 1 8.600 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.601 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 8.601 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 8.601 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 8.601 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.601 * [taylor]: Taking taylor expansion of x in x 8.601 * [backup-simplify]: Simplify 0 into 0 8.601 * [backup-simplify]: Simplify 1 into 1 8.601 * [backup-simplify]: Simplify (/ 1 1) into 1 8.601 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 8.601 * [taylor]: Taking taylor expansion of (* x (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 8.601 * [taylor]: Taking taylor expansion of x in x 8.601 * [backup-simplify]: Simplify 0 into 0 8.601 * [backup-simplify]: Simplify 1 into 1 8.601 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 8.601 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 8.601 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 8.601 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 8.601 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 8.601 * [taylor]: Taking taylor expansion of 1/2 in x 8.601 * [backup-simplify]: Simplify 1/2 into 1/2 8.601 * [taylor]: Taking taylor expansion of x in x 8.601 * [backup-simplify]: Simplify 0 into 0 8.601 * [backup-simplify]: Simplify 1 into 1 8.602 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.602 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 8.602 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 8.602 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 8.602 * [taylor]: Taking taylor expansion of 1/2 in x 8.602 * [backup-simplify]: Simplify 1/2 into 1/2 8.602 * [taylor]: Taking taylor expansion of x in x 8.602 * [backup-simplify]: Simplify 0 into 0 8.602 * [backup-simplify]: Simplify 1 into 1 8.602 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.602 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 8.602 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 8.602 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 8.602 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.602 * [taylor]: Taking taylor expansion of x in x 8.602 * [backup-simplify]: Simplify 0 into 0 8.602 * [backup-simplify]: Simplify 1 into 1 8.602 * [backup-simplify]: Simplify (/ 1 1) into 1 8.602 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 8.603 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 8.603 * [backup-simplify]: Simplify (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into 0 8.603 * [backup-simplify]: Simplify 0 into 0 8.603 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 8.603 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0 8.603 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 8.604 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 8.604 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 8.604 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 8.605 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0 8.605 * [backup-simplify]: Simplify 0 into 0 8.605 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 8.606 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 8.606 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))) into 0 8.606 * [backup-simplify]: Simplify 0 into 0 8.607 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 8.608 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 8.609 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))) into 0 8.609 * [backup-simplify]: Simplify 0 into 0 8.610 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 8.611 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 8.612 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))))) into 0 8.612 * [backup-simplify]: Simplify 0 into 0 8.612 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 8.613 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 8.615 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))))) into 0 8.615 * [backup-simplify]: Simplify 0 into 0 8.615 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 8.617 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))))) into 0 8.618 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))))))) into 0 8.619 * [backup-simplify]: Simplify 0 into 0 8.619 * [backup-simplify]: Simplify (* (/ (* (sin (/ 1 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (cos (/ 1/2 (/ 1 x)))) (/ 1 x)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) x)) 8.619 * [backup-simplify]: Simplify (* (/ (sin (/ 1 (- x))) (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2))) into (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x))))) 8.619 * [approximate]: Taking taylor expansion of (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x))))) in (x) around 0 8.619 * [taylor]: Taking taylor expansion of (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x))))) in x 8.619 * [taylor]: Taking taylor expansion of -1 in x 8.619 * [backup-simplify]: Simplify -1 into -1 8.619 * [taylor]: Taking taylor expansion of (* x (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 8.619 * [taylor]: Taking taylor expansion of x in x 8.619 * [backup-simplify]: Simplify 0 into 0 8.619 * [backup-simplify]: Simplify 1 into 1 8.619 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 8.619 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 8.619 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 8.619 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 8.619 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 8.619 * [taylor]: Taking taylor expansion of -1/2 in x 8.619 * [backup-simplify]: Simplify -1/2 into -1/2 8.619 * [taylor]: Taking taylor expansion of x in x 8.619 * [backup-simplify]: Simplify 0 into 0 8.619 * [backup-simplify]: Simplify 1 into 1 8.619 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.620 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 8.620 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 8.620 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 8.620 * [taylor]: Taking taylor expansion of -1/2 in x 8.620 * [backup-simplify]: Simplify -1/2 into -1/2 8.620 * [taylor]: Taking taylor expansion of x in x 8.620 * [backup-simplify]: Simplify 0 into 0 8.620 * [backup-simplify]: Simplify 1 into 1 8.620 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.620 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 8.620 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 8.620 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 8.620 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.620 * [taylor]: Taking taylor expansion of -1 in x 8.620 * [backup-simplify]: Simplify -1 into -1 8.620 * [taylor]: Taking taylor expansion of x in x 8.620 * [backup-simplify]: Simplify 0 into 0 8.620 * [backup-simplify]: Simplify 1 into 1 8.620 * [backup-simplify]: Simplify (/ -1 1) into -1 8.621 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 8.621 * [taylor]: Taking taylor expansion of (* -1 (* x (* (tan (/ -1/2 x)) (sin (/ -1 x))))) in x 8.621 * [taylor]: Taking taylor expansion of -1 in x 8.621 * [backup-simplify]: Simplify -1 into -1 8.621 * [taylor]: Taking taylor expansion of (* x (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 8.621 * [taylor]: Taking taylor expansion of x in x 8.621 * [backup-simplify]: Simplify 0 into 0 8.621 * [backup-simplify]: Simplify 1 into 1 8.621 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 8.621 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 8.621 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 8.621 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 8.621 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 8.621 * [taylor]: Taking taylor expansion of -1/2 in x 8.621 * [backup-simplify]: Simplify -1/2 into -1/2 8.621 * [taylor]: Taking taylor expansion of x in x 8.621 * [backup-simplify]: Simplify 0 into 0 8.621 * [backup-simplify]: Simplify 1 into 1 8.621 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.621 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 8.621 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 8.621 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 8.621 * [taylor]: Taking taylor expansion of -1/2 in x 8.621 * [backup-simplify]: Simplify -1/2 into -1/2 8.621 * [taylor]: Taking taylor expansion of x in x 8.621 * [backup-simplify]: Simplify 0 into 0 8.621 * [backup-simplify]: Simplify 1 into 1 8.622 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.622 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 8.622 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 8.622 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 8.622 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.622 * [taylor]: Taking taylor expansion of -1 in x 8.622 * [backup-simplify]: Simplify -1 into -1 8.622 * [taylor]: Taking taylor expansion of x in x 8.622 * [backup-simplify]: Simplify 0 into 0 8.622 * [backup-simplify]: Simplify 1 into 1 8.622 * [backup-simplify]: Simplify (/ -1 1) into -1 8.622 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 8.622 * [backup-simplify]: Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 8.622 * [backup-simplify]: Simplify (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into 0 8.623 * [backup-simplify]: Simplify (* -1 0) into 0 8.623 * [backup-simplify]: Simplify 0 into 0 8.623 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 8.623 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0 8.623 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 8.624 * [backup-simplify]: Simplify (+ (* -1 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0)) into (- (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) 8.624 * [backup-simplify]: Simplify (- (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (- (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) 8.624 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 8.625 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 8.625 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0 8.626 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0))) into 0 8.626 * [backup-simplify]: Simplify 0 into 0 8.626 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 8.627 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 8.627 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0 8.628 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0)))) into 0 8.628 * [backup-simplify]: Simplify 0 into 0 8.629 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 8.631 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 8.632 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))) into 0 8.633 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0))))) into 0 8.633 * [backup-simplify]: Simplify 0 into 0 8.634 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 8.635 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 8.636 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))))) into 0 8.637 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0)))))) into 0 8.637 * [backup-simplify]: Simplify 0 into 0 8.638 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 8.639 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 8.640 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))))) into 0 8.642 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0))))))) into 0 8.642 * [backup-simplify]: Simplify 0 into 0 8.642 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 8.644 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))))) into 0 8.646 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))))))) into 0 8.647 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) (* 0 0)))))))) into 0 8.647 * [backup-simplify]: Simplify 0 into 0 8.648 * [backup-simplify]: Simplify (* (- (/ (* (sin (/ -1 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x)))))) (/ 1 (- x))) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) x)) 8.648 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 8.648 * [backup-simplify]: Simplify (/ (sin x) x) into (/ (sin x) x) 8.648 * [approximate]: Taking taylor expansion of (/ (sin x) x) in (x) around 0 8.648 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 8.648 * [taylor]: Taking taylor expansion of (sin x) in x 8.648 * [taylor]: Taking taylor expansion of x in x 8.648 * [backup-simplify]: Simplify 0 into 0 8.648 * [backup-simplify]: Simplify 1 into 1 8.648 * [taylor]: Taking taylor expansion of x in x 8.648 * [backup-simplify]: Simplify 0 into 0 8.648 * [backup-simplify]: Simplify 1 into 1 8.648 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 8.649 * [backup-simplify]: Simplify (/ 1 1) into 1 8.649 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 8.649 * [taylor]: Taking taylor expansion of (sin x) in x 8.649 * [taylor]: Taking taylor expansion of x in x 8.649 * [backup-simplify]: Simplify 0 into 0 8.649 * [backup-simplify]: Simplify 1 into 1 8.649 * [taylor]: Taking taylor expansion of x in x 8.649 * [backup-simplify]: Simplify 0 into 0 8.649 * [backup-simplify]: Simplify 1 into 1 8.649 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 8.649 * [backup-simplify]: Simplify (/ 1 1) into 1 8.649 * [backup-simplify]: Simplify 1 into 1 8.650 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 8.651 * [backup-simplify]: Simplify 0 into 0 8.652 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 8.652 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/6 8.652 * [backup-simplify]: Simplify -1/6 into -1/6 8.653 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 8.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)))) into 0 8.654 * [backup-simplify]: Simplify 0 into 0 8.656 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 8.657 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 1/120 8.657 * [backup-simplify]: Simplify 1/120 into 1/120 8.657 * [backup-simplify]: Simplify (+ (* 1/120 (pow x 4)) (+ (* -1/6 (pow x 2)) 1)) into (- (+ (* 1/120 (pow x 4)) 1) (* 1/6 (pow x 2))) 8.657 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (/ 1 x)) into (* x (sin (/ 1 x))) 8.657 * [approximate]: Taking taylor expansion of (* x (sin (/ 1 x))) in (x) around 0 8.657 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 8.657 * [taylor]: Taking taylor expansion of x in x 8.657 * [backup-simplify]: Simplify 0 into 0 8.657 * [backup-simplify]: Simplify 1 into 1 8.657 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 8.657 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.657 * [taylor]: Taking taylor expansion of x in x 8.657 * [backup-simplify]: Simplify 0 into 0 8.657 * [backup-simplify]: Simplify 1 into 1 8.658 * [backup-simplify]: Simplify (/ 1 1) into 1 8.658 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 8.658 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 8.658 * [taylor]: Taking taylor expansion of x in x 8.658 * [backup-simplify]: Simplify 0 into 0 8.658 * [backup-simplify]: Simplify 1 into 1 8.658 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 8.658 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.658 * [taylor]: Taking taylor expansion of x in x 8.658 * [backup-simplify]: Simplify 0 into 0 8.658 * [backup-simplify]: Simplify 1 into 1 8.658 * [backup-simplify]: Simplify (/ 1 1) into 1 8.658 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 8.658 * [backup-simplify]: Simplify (* 0 (sin (/ 1 x))) into 0 8.658 * [backup-simplify]: Simplify 0 into 0 8.658 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ 1 x)))) into (sin (/ 1 x)) 8.659 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 8.659 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ 1 x))))) into 0 8.659 * [backup-simplify]: Simplify 0 into 0 8.660 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 8.660 * [backup-simplify]: Simplify 0 into 0 8.661 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 8.661 * [backup-simplify]: Simplify 0 into 0 8.662 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 8.662 * [backup-simplify]: Simplify 0 into 0 8.664 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 8.664 * [backup-simplify]: Simplify 0 into 0 8.665 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))))) into 0 8.665 * [backup-simplify]: Simplify 0 into 0 8.665 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 x))) (/ 1 x)) into (/ (sin x) x) 8.665 * [backup-simplify]: Simplify (/ (sin (/ 1 (- x))) (/ 1 (- x))) into (* -1 (* x (sin (/ -1 x)))) 8.665 * [approximate]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in (x) around 0 8.666 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 8.666 * [taylor]: Taking taylor expansion of -1 in x 8.666 * [backup-simplify]: Simplify -1 into -1 8.666 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 8.666 * [taylor]: Taking taylor expansion of x in x 8.666 * [backup-simplify]: Simplify 0 into 0 8.666 * [backup-simplify]: Simplify 1 into 1 8.666 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 8.666 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.666 * [taylor]: Taking taylor expansion of -1 in x 8.666 * [backup-simplify]: Simplify -1 into -1 8.666 * [taylor]: Taking taylor expansion of x in x 8.666 * [backup-simplify]: Simplify 0 into 0 8.666 * [backup-simplify]: Simplify 1 into 1 8.666 * [backup-simplify]: Simplify (/ -1 1) into -1 8.666 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 8.666 * [taylor]: Taking taylor expansion of (* -1 (* x (sin (/ -1 x)))) in x 8.666 * [taylor]: Taking taylor expansion of -1 in x 8.666 * [backup-simplify]: Simplify -1 into -1 8.666 * [taylor]: Taking taylor expansion of (* x (sin (/ -1 x))) in x 8.666 * [taylor]: Taking taylor expansion of x in x 8.666 * [backup-simplify]: Simplify 0 into 0 8.666 * [backup-simplify]: Simplify 1 into 1 8.666 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 8.666 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.666 * [taylor]: Taking taylor expansion of -1 in x 8.666 * [backup-simplify]: Simplify -1 into -1 8.666 * [taylor]: Taking taylor expansion of x in x 8.666 * [backup-simplify]: Simplify 0 into 0 8.666 * [backup-simplify]: Simplify 1 into 1 8.667 * [backup-simplify]: Simplify (/ -1 1) into -1 8.667 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 8.667 * [backup-simplify]: Simplify (* 0 (sin (/ -1 x))) into 0 8.667 * [backup-simplify]: Simplify (* -1 0) into 0 8.667 * [backup-simplify]: Simplify 0 into 0 8.667 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ -1 x)))) into (sin (/ -1 x)) 8.668 * [backup-simplify]: Simplify (+ (* -1 (sin (/ -1 x))) (* 0 0)) into (- (sin (/ -1 x))) 8.668 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x))) 8.668 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ -1 x))))) into 0 8.669 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))) into 0 8.669 * [backup-simplify]: Simplify 0 into 0 8.670 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 8.670 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))) into 0 8.670 * [backup-simplify]: Simplify 0 into 0 8.671 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 8.672 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))) into 0 8.672 * [backup-simplify]: Simplify 0 into 0 8.674 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 8.675 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))) into 0 8.675 * [backup-simplify]: Simplify 0 into 0 8.677 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 8.680 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0))))))) into 0 8.680 * [backup-simplify]: Simplify 0 into 0 8.682 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))))) into 0 8.685 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sin (/ -1 x))) (* 0 0)))))))) into 0 8.685 * [backup-simplify]: Simplify 0 into 0 8.685 * [backup-simplify]: Simplify (* (- (sin (/ -1 (/ 1 (- x))))) (/ 1 (- x))) into (/ (sin x) x) 8.685 * * * * [progress]: [ 3 / 3 ] generating series at (2) 8.685 * [backup-simplify]: Simplify (/ (* (/ (sin x) x) (tan (/ x 2))) x) into (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) 8.685 * [approximate]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in (x) around 0 8.685 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 8.685 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 8.686 * [taylor]: Taking taylor expansion of (sin x) in x 8.686 * [taylor]: Taking taylor expansion of x in x 8.686 * [backup-simplify]: Simplify 0 into 0 8.686 * [backup-simplify]: Simplify 1 into 1 8.686 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 8.686 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 8.686 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 8.686 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 8.686 * [taylor]: Taking taylor expansion of 1/2 in x 8.686 * [backup-simplify]: Simplify 1/2 into 1/2 8.686 * [taylor]: Taking taylor expansion of x in x 8.686 * [backup-simplify]: Simplify 0 into 0 8.686 * [backup-simplify]: Simplify 1 into 1 8.686 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.687 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.687 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 8.687 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 8.687 * [taylor]: Taking taylor expansion of 1/2 in x 8.687 * [backup-simplify]: Simplify 1/2 into 1/2 8.687 * [taylor]: Taking taylor expansion of x in x 8.687 * [backup-simplify]: Simplify 0 into 0 8.687 * [backup-simplify]: Simplify 1 into 1 8.688 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.688 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.689 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 8.690 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.690 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.690 * [taylor]: Taking taylor expansion of x in x 8.690 * [backup-simplify]: Simplify 0 into 0 8.690 * [backup-simplify]: Simplify 1 into 1 8.690 * [backup-simplify]: Simplify (* 0 1/2) into 0 8.691 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 8.692 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.692 * [backup-simplify]: Simplify (+ 0) into 0 8.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.694 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 8.695 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 8.695 * [backup-simplify]: Simplify (* 1 1) into 1 8.696 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.696 * [taylor]: Taking taylor expansion of (/ (* (sin x) (tan (* 1/2 x))) (pow x 2)) in x 8.696 * [taylor]: Taking taylor expansion of (* (sin x) (tan (* 1/2 x))) in x 8.696 * [taylor]: Taking taylor expansion of (sin x) in x 8.696 * [taylor]: Taking taylor expansion of x in x 8.696 * [backup-simplify]: Simplify 0 into 0 8.696 * [backup-simplify]: Simplify 1 into 1 8.696 * [taylor]: Taking taylor expansion of (tan (* 1/2 x)) in x 8.696 * [taylor]: Rewrote expression to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 8.696 * [taylor]: Taking taylor expansion of (sin (* 1/2 x)) in x 8.696 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 8.696 * [taylor]: Taking taylor expansion of 1/2 in x 8.696 * [backup-simplify]: Simplify 1/2 into 1/2 8.696 * [taylor]: Taking taylor expansion of x in x 8.696 * [backup-simplify]: Simplify 0 into 0 8.696 * [backup-simplify]: Simplify 1 into 1 8.697 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.697 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.697 * [taylor]: Taking taylor expansion of (cos (* 1/2 x)) in x 8.697 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 8.697 * [taylor]: Taking taylor expansion of 1/2 in x 8.697 * [backup-simplify]: Simplify 1/2 into 1/2 8.697 * [taylor]: Taking taylor expansion of x in x 8.697 * [backup-simplify]: Simplify 0 into 0 8.697 * [backup-simplify]: Simplify 1 into 1 8.698 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.699 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.699 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 8.700 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.700 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.700 * [taylor]: Taking taylor expansion of x in x 8.700 * [backup-simplify]: Simplify 0 into 0 8.700 * [backup-simplify]: Simplify 1 into 1 8.701 * [backup-simplify]: Simplify (* 0 1/2) into 0 8.702 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 8.702 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.703 * [backup-simplify]: Simplify (+ 0) into 0 8.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.704 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 8.705 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 8.706 * [backup-simplify]: Simplify (* 1 1) into 1 8.706 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.706 * [backup-simplify]: Simplify 1/2 into 1/2 8.707 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.708 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48 8.709 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 8.710 * [backup-simplify]: Simplify (- (/ -1/48 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/24 8.710 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.711 * [backup-simplify]: Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0 8.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.712 * [backup-simplify]: Simplify 0 into 0 8.712 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.713 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 8.714 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 8.715 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/24 (/ 0 1)))) into 0 8.716 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 8.717 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2)))) into -1/24 8.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.719 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 8.719 * [backup-simplify]: Simplify -1/24 into -1/24 8.719 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 8.722 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840 8.723 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.725 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 8.726 * [backup-simplify]: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/240 8.728 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 8.729 * [backup-simplify]: Simplify (+ (* 0 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2))))) into 0 8.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 8.731 * [backup-simplify]: Simplify 0 into 0 8.732 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 8.734 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 8.735 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.737 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/384 1)) (* 1/24 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/240 (/ 0 1)))) into 0 8.740 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 8.741 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720 8.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.743 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 8.743 * [backup-simplify]: Simplify 1/720 into 1/720 8.743 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 8.743 * [backup-simplify]: Simplify (/ (* (/ (sin (/ 1 x)) (/ 1 x)) (tan (/ (/ 1 x) 2))) (/ 1 x)) into (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) 8.743 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in (x) around 0 8.743 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 8.743 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.743 * [taylor]: Taking taylor expansion of x in x 8.743 * [backup-simplify]: Simplify 0 into 0 8.743 * [backup-simplify]: Simplify 1 into 1 8.743 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 8.743 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 8.744 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 8.744 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 8.744 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 8.744 * [taylor]: Taking taylor expansion of 1/2 in x 8.744 * [backup-simplify]: Simplify 1/2 into 1/2 8.744 * [taylor]: Taking taylor expansion of x in x 8.744 * [backup-simplify]: Simplify 0 into 0 8.744 * [backup-simplify]: Simplify 1 into 1 8.744 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.744 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 8.744 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 8.744 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 8.744 * [taylor]: Taking taylor expansion of 1/2 in x 8.744 * [backup-simplify]: Simplify 1/2 into 1/2 8.744 * [taylor]: Taking taylor expansion of x in x 8.744 * [backup-simplify]: Simplify 0 into 0 8.744 * [backup-simplify]: Simplify 1 into 1 8.744 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.744 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 8.745 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 8.745 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 8.745 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.745 * [taylor]: Taking taylor expansion of x in x 8.745 * [backup-simplify]: Simplify 0 into 0 8.745 * [backup-simplify]: Simplify 1 into 1 8.745 * [backup-simplify]: Simplify (/ 1 1) into 1 8.745 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 8.745 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ 1/2 x)) (sin (/ 1 x)))) in x 8.745 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.745 * [taylor]: Taking taylor expansion of x in x 8.745 * [backup-simplify]: Simplify 0 into 0 8.745 * [backup-simplify]: Simplify 1 into 1 8.745 * [taylor]: Taking taylor expansion of (* (tan (/ 1/2 x)) (sin (/ 1 x))) in x 8.745 * [taylor]: Taking taylor expansion of (tan (/ 1/2 x)) in x 8.745 * [taylor]: Rewrote expression to (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 8.745 * [taylor]: Taking taylor expansion of (sin (/ 1/2 x)) in x 8.745 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 8.745 * [taylor]: Taking taylor expansion of 1/2 in x 8.745 * [backup-simplify]: Simplify 1/2 into 1/2 8.745 * [taylor]: Taking taylor expansion of x in x 8.745 * [backup-simplify]: Simplify 0 into 0 8.745 * [backup-simplify]: Simplify 1 into 1 8.745 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.746 * [backup-simplify]: Simplify (sin (/ 1/2 x)) into (sin (/ 1/2 x)) 8.746 * [taylor]: Taking taylor expansion of (cos (/ 1/2 x)) in x 8.746 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 8.746 * [taylor]: Taking taylor expansion of 1/2 in x 8.746 * [backup-simplify]: Simplify 1/2 into 1/2 8.746 * [taylor]: Taking taylor expansion of x in x 8.746 * [backup-simplify]: Simplify 0 into 0 8.746 * [backup-simplify]: Simplify 1 into 1 8.746 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.746 * [backup-simplify]: Simplify (cos (/ 1/2 x)) into (cos (/ 1/2 x)) 8.746 * [backup-simplify]: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 8.746 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 8.746 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.746 * [taylor]: Taking taylor expansion of x in x 8.746 * [backup-simplify]: Simplify 0 into 0 8.746 * [backup-simplify]: Simplify 1 into 1 8.746 * [backup-simplify]: Simplify (/ 1 1) into 1 8.746 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 8.747 * [backup-simplify]: Simplify (* 1 1) into 1 8.747 * [backup-simplify]: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 8.747 * [backup-simplify]: Simplify (* 1 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 8.747 * [backup-simplify]: Simplify (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 8.747 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 8.747 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0 8.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into 0 8.748 * [backup-simplify]: Simplify 0 into 0 8.748 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 8.749 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 8.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0 8.750 * [backup-simplify]: Simplify 0 into 0 8.750 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 8.751 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 8.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))) into 0 8.753 * [backup-simplify]: Simplify 0 into 0 8.753 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 8.754 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 8.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))) into 0 8.755 * [backup-simplify]: Simplify 0 into 0 8.756 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 8.757 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 8.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))))) into 0 8.759 * [backup-simplify]: Simplify 0 into 0 8.759 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 8.760 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 8.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))))) into 0 8.763 * [backup-simplify]: Simplify 0 into 0 8.763 * [backup-simplify]: Simplify (* (/ (* (sin (/ 1 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (cos (/ 1/2 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 8.763 * [backup-simplify]: Simplify (/ (* (/ (sin (/ 1 (- x))) (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2))) (/ 1 (- x))) into (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) 8.763 * [approximate]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in (x) around 0 8.763 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 8.763 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.763 * [taylor]: Taking taylor expansion of x in x 8.763 * [backup-simplify]: Simplify 0 into 0 8.763 * [backup-simplify]: Simplify 1 into 1 8.763 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 8.763 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 8.764 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 8.764 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 8.764 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 8.764 * [taylor]: Taking taylor expansion of -1/2 in x 8.764 * [backup-simplify]: Simplify -1/2 into -1/2 8.764 * [taylor]: Taking taylor expansion of x in x 8.764 * [backup-simplify]: Simplify 0 into 0 8.764 * [backup-simplify]: Simplify 1 into 1 8.764 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.764 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 8.764 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 8.764 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 8.764 * [taylor]: Taking taylor expansion of -1/2 in x 8.764 * [backup-simplify]: Simplify -1/2 into -1/2 8.764 * [taylor]: Taking taylor expansion of x in x 8.764 * [backup-simplify]: Simplify 0 into 0 8.764 * [backup-simplify]: Simplify 1 into 1 8.764 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.764 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 8.764 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 8.765 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 8.765 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.765 * [taylor]: Taking taylor expansion of -1 in x 8.765 * [backup-simplify]: Simplify -1 into -1 8.765 * [taylor]: Taking taylor expansion of x in x 8.765 * [backup-simplify]: Simplify 0 into 0 8.765 * [backup-simplify]: Simplify 1 into 1 8.765 * [backup-simplify]: Simplify (/ -1 1) into -1 8.765 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 8.765 * [taylor]: Taking taylor expansion of (* (pow x 2) (* (tan (/ -1/2 x)) (sin (/ -1 x)))) in x 8.765 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.765 * [taylor]: Taking taylor expansion of x in x 8.765 * [backup-simplify]: Simplify 0 into 0 8.765 * [backup-simplify]: Simplify 1 into 1 8.765 * [taylor]: Taking taylor expansion of (* (tan (/ -1/2 x)) (sin (/ -1 x))) in x 8.765 * [taylor]: Taking taylor expansion of (tan (/ -1/2 x)) in x 8.765 * [taylor]: Rewrote expression to (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 8.765 * [taylor]: Taking taylor expansion of (sin (/ -1/2 x)) in x 8.765 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 8.765 * [taylor]: Taking taylor expansion of -1/2 in x 8.765 * [backup-simplify]: Simplify -1/2 into -1/2 8.765 * [taylor]: Taking taylor expansion of x in x 8.765 * [backup-simplify]: Simplify 0 into 0 8.765 * [backup-simplify]: Simplify 1 into 1 8.766 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.766 * [backup-simplify]: Simplify (sin (/ -1/2 x)) into (sin (/ -1/2 x)) 8.766 * [taylor]: Taking taylor expansion of (cos (/ -1/2 x)) in x 8.766 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 8.766 * [taylor]: Taking taylor expansion of -1/2 in x 8.766 * [backup-simplify]: Simplify -1/2 into -1/2 8.766 * [taylor]: Taking taylor expansion of x in x 8.766 * [backup-simplify]: Simplify 0 into 0 8.766 * [backup-simplify]: Simplify 1 into 1 8.766 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.766 * [backup-simplify]: Simplify (cos (/ -1/2 x)) into (cos (/ -1/2 x)) 8.766 * [backup-simplify]: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 8.766 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 8.766 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.766 * [taylor]: Taking taylor expansion of -1 in x 8.766 * [backup-simplify]: Simplify -1 into -1 8.766 * [taylor]: Taking taylor expansion of x in x 8.766 * [backup-simplify]: Simplify 0 into 0 8.766 * [backup-simplify]: Simplify 1 into 1 8.766 * [backup-simplify]: Simplify (/ -1 1) into -1 8.767 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 8.767 * [backup-simplify]: Simplify (* 1 1) into 1 8.767 * [backup-simplify]: Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 8.767 * [backup-simplify]: Simplify (* 1 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 8.767 * [backup-simplify]: Simplify (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 8.767 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 8.767 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0 8.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into 0 8.768 * [backup-simplify]: Simplify 0 into 0 8.769 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 8.769 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 8.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0 8.770 * [backup-simplify]: Simplify 0 into 0 8.770 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 8.771 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 8.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0 8.772 * [backup-simplify]: Simplify 0 into 0 8.773 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 8.774 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 8.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))) into 0 8.776 * [backup-simplify]: Simplify 0 into 0 8.776 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 8.778 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 8.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))))) into 0 8.781 * [backup-simplify]: Simplify 0 into 0 8.782 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 8.783 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 8.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))))) into 0 8.787 * [backup-simplify]: Simplify 0 into 0 8.788 * [backup-simplify]: Simplify (* (/ (* (sin (/ -1 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 8.788 * * * [progress]: simplifying candidates 8.788 * * * * [progress]: [ 1 / 105 ] simplifiying candidate # 8.788 * * * * [progress]: [ 2 / 105 ] simplifiying candidate # 8.788 * * * * [progress]: [ 3 / 105 ] simplifiying candidate # 8.788 * * * * [progress]: [ 4 / 105 ] simplifiying candidate # 8.788 * * * * [progress]: [ 5 / 105 ] simplifiying candidate # 8.788 * * * * [progress]: [ 6 / 105 ] simplifiying candidate # 8.788 * * * * [progress]: [ 7 / 105 ] simplifiying candidate # 8.788 * * * * [progress]: [ 8 / 105 ] simplifiying candidate # 8.788 * * * * [progress]: [ 9 / 105 ] simplifiying candidate # 8.788 * * * * [progress]: [ 10 / 105 ] simplifiying candidate # 8.788 * * * * [progress]: [ 11 / 105 ] simplifiying candidate # 8.788 * * * * [progress]: [ 12 / 105 ] simplifiying candidate # 8.788 * * * * [progress]: [ 13 / 105 ] simplifiying candidate # 8.788 * * * * [progress]: [ 14 / 105 ] simplifiying candidate # 8.789 * * * * [progress]: [ 15 / 105 ] simplifiying candidate # 8.789 * * * * [progress]: [ 16 / 105 ] simplifiying candidate # 8.789 * * * * [progress]: [ 17 / 105 ] simplifiying candidate # 8.789 * * * * [progress]: [ 18 / 105 ] simplifiying candidate # 8.789 * * * * [progress]: [ 19 / 105 ] simplifiying candidate # 8.789 * * * * [progress]: [ 20 / 105 ] simplifiying candidate # 8.789 * * * * [progress]: [ 21 / 105 ] simplifiying candidate # 8.789 * * * * [progress]: [ 22 / 105 ] simplifiying candidate # 8.789 * * * * [progress]: [ 23 / 105 ] simplifiying candidate # 8.789 * * * * [progress]: [ 24 / 105 ] simplifiying candidate # 8.789 * * * * [progress]: [ 25 / 105 ] simplifiying candidate # 8.789 * * * * [progress]: [ 26 / 105 ] simplifiying candidate # 8.789 * * * * [progress]: [ 27 / 105 ] simplifiying candidate # 8.789 * * * * [progress]: [ 28 / 105 ] simplifiying candidate # 8.789 * * * * [progress]: [ 29 / 105 ] simplifiying candidate # 8.789 * * * * [progress]: [ 30 / 105 ] simplifiying candidate # 8.789 * * * * [progress]: [ 31 / 105 ] simplifiying candidate # 8.789 * * * * [progress]: [ 32 / 105 ] simplifiying candidate # 8.789 * * * * [progress]: [ 33 / 105 ] simplifiying candidate # 8.790 * * * * [progress]: [ 34 / 105 ] simplifiying candidate # 8.790 * * * * [progress]: [ 35 / 105 ] simplifiying candidate # 8.790 * * * * [progress]: [ 36 / 105 ] simplifiying candidate #real (real->posit16 (* (/ (sin x) x) (tan (/ x 2))))) x))> 8.790 * * * * [progress]: [ 37 / 105 ] simplifiying candidate # 8.790 * * * * [progress]: [ 38 / 105 ] simplifiying candidate # 8.790 * * * * [progress]: [ 39 / 105 ] simplifiying candidate # 8.790 * * * * [progress]: [ 40 / 105 ] simplifiying candidate # 8.790 * * * * [progress]: [ 41 / 105 ] simplifiying candidate # 8.790 * * * * [progress]: [ 42 / 105 ] simplifiying candidate # 8.790 * * * * [progress]: [ 43 / 105 ] simplifiying candidate # 8.790 * * * * [progress]: [ 44 / 105 ] simplifiying candidate # 8.790 * * * * [progress]: [ 45 / 105 ] simplifiying candidate # 8.790 * * * * [progress]: [ 46 / 105 ] simplifiying candidate # 8.790 * * * * [progress]: [ 47 / 105 ] simplifiying candidate # 8.790 * * * * [progress]: [ 48 / 105 ] simplifiying candidate # 8.790 * * * * [progress]: [ 49 / 105 ] simplifiying candidate # 8.790 * * * * [progress]: [ 50 / 105 ] simplifiying candidate # 8.790 * * * * [progress]: [ 51 / 105 ] simplifiying candidate # 8.791 * * * * [progress]: [ 52 / 105 ] simplifiying candidate # 8.791 * * * * [progress]: [ 53 / 105 ] simplifiying candidate # 8.791 * * * * [progress]: [ 54 / 105 ] simplifiying candidate # 8.791 * * * * [progress]: [ 55 / 105 ] simplifiying candidate # 8.791 * * * * [progress]: [ 56 / 105 ] simplifiying candidate # 8.791 * * * * [progress]: [ 57 / 105 ] simplifiying candidate # 8.791 * * * * [progress]: [ 58 / 105 ] simplifiying candidate # 8.791 * * * * [progress]: [ 59 / 105 ] simplifiying candidate # 8.791 * * * * [progress]: [ 60 / 105 ] simplifiying candidate # 8.791 * * * * [progress]: [ 61 / 105 ] simplifiying candidate # 8.791 * * * * [progress]: [ 62 / 105 ] simplifiying candidate # 8.791 * * * * [progress]: [ 63 / 105 ] simplifiying candidate # 8.791 * * * * [progress]: [ 64 / 105 ] simplifiying candidate # 8.791 * * * * [progress]: [ 65 / 105 ] simplifiying candidate # 8.791 * * * * [progress]: [ 66 / 105 ] simplifiying candidate # 8.791 * * * * [progress]: [ 67 / 105 ] simplifiying candidate #real (real->posit16 (/ (sin x) x))) (tan (/ x 2))) x))> 8.791 * * * * [progress]: [ 68 / 105 ] simplifiying candidate # 8.791 * * * * [progress]: [ 69 / 105 ] simplifiying candidate # 8.791 * * * * [progress]: [ 70 / 105 ] simplifiying candidate # 8.792 * * * * [progress]: [ 71 / 105 ] simplifiying candidate # 8.792 * * * * [progress]: [ 72 / 105 ] simplifiying candidate # 8.792 * * * * [progress]: [ 73 / 105 ] simplifiying candidate # 8.792 * * * * [progress]: [ 74 / 105 ] simplifiying candidate # 8.792 * * * * [progress]: [ 75 / 105 ] simplifiying candidate # 8.792 * * * * [progress]: [ 76 / 105 ] simplifiying candidate # 8.792 * * * * [progress]: [ 77 / 105 ] simplifiying candidate # 8.792 * * * * [progress]: [ 78 / 105 ] simplifiying candidate # 8.792 * * * * [progress]: [ 79 / 105 ] simplifiying candidate # 8.792 * * * * [progress]: [ 80 / 105 ] simplifiying candidate # 8.792 * * * * [progress]: [ 81 / 105 ] simplifiying candidate # 8.792 * * * * [progress]: [ 82 / 105 ] simplifiying candidate # 8.792 * * * * [progress]: [ 83 / 105 ] simplifiying candidate # 8.792 * * * * [progress]: [ 84 / 105 ] simplifiying candidate # 8.792 * * * * [progress]: [ 85 / 105 ] simplifiying candidate # 8.792 * * * * [progress]: [ 86 / 105 ] simplifiying candidate # 8.792 * * * * [progress]: [ 87 / 105 ] simplifiying candidate # 8.792 * * * * [progress]: [ 88 / 105 ] simplifiying candidate # 8.792 * * * * [progress]: [ 89 / 105 ] simplifiying candidate # 8.793 * * * * [progress]: [ 90 / 105 ] simplifiying candidate # 8.793 * * * * [progress]: [ 91 / 105 ] simplifiying candidate # 8.793 * * * * [progress]: [ 92 / 105 ] simplifiying candidate # 8.793 * * * * [progress]: [ 93 / 105 ] simplifiying candidate # 8.793 * * * * [progress]: [ 94 / 105 ] simplifiying candidate # 8.793 * * * * [progress]: [ 95 / 105 ] simplifiying candidate # 8.793 * * * * [progress]: [ 96 / 105 ] simplifiying candidate #real (real->posit16 (/ (* (/ (sin x) x) (tan (/ x 2))) x))))> 8.793 * * * * [progress]: [ 97 / 105 ] simplifiying candidate # 8.793 * * * * [progress]: [ 98 / 105 ] simplifiying candidate # 8.793 * * * * [progress]: [ 99 / 105 ] simplifiying candidate # 8.793 * * * * [progress]: [ 100 / 105 ] simplifiying candidate # 8.793 * * * * [progress]: [ 101 / 105 ] simplifiying candidate # 8.793 * * * * [progress]: [ 102 / 105 ] simplifiying candidate # 8.793 * * * * [progress]: [ 103 / 105 ] simplifiying candidate # 8.793 * * * * [progress]: [ 104 / 105 ] simplifiying candidate # 8.793 * * * * [progress]: [ 105 / 105 ] simplifiying candidate # 8.795 * [simplify]: Simplifying: (expm1 (* (/ (sin x) x) (tan (/ x 2)))) (log1p (* (/ (sin x) x) (tan (/ x 2)))) (* (/ (sin x) x) (tan (/ x 2))) (+ (- (log (sin x)) (log x)) (log (tan (/ x 2)))) (+ (log (/ (sin x) x)) (log (tan (/ x 2)))) (log (* (/ (sin x) x) (tan (/ x 2)))) (exp (* (/ (sin x) x) (tan (/ x 2)))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2)))) (* (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2)))) (* (cbrt (* (/ (sin x) x) (tan (/ x 2)))) (cbrt (* (/ (sin x) x) (tan (/ x 2))))) (cbrt (* (/ (sin x) x) (tan (/ x 2)))) (* (* (* (/ (sin x) x) (tan (/ x 2))) (* (/ (sin x) x) (tan (/ x 2)))) (* (/ (sin x) x) (tan (/ x 2)))) (sqrt (* (/ (sin x) x) (tan (/ x 2)))) (sqrt (* (/ (sin x) x) (tan (/ x 2)))) (* (sin x) (sin (/ x 2))) (* x (cos (/ x 2))) (* (sqrt (/ (sin x) x)) (sqrt (tan (/ x 2)))) (* (sqrt (/ (sin x) x)) (sqrt (tan (/ x 2)))) (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (tan (/ x 2)))) (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (tan (/ x 2)))) (* (/ (sin x) x) (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))) (* (/ (sin x) x) (sqrt (tan (/ x 2)))) (* (/ (sin x) x) 1) (* (cbrt (/ (sin x) x)) (tan (/ x 2))) (* (sqrt (/ (sin x) x)) (tan (/ x 2))) (* (/ (cbrt (sin x)) (cbrt x)) (tan (/ x 2))) (* (/ (cbrt (sin x)) (sqrt x)) (tan (/ x 2))) (* (/ (cbrt (sin x)) x) (tan (/ x 2))) (* (/ (sqrt (sin x)) (cbrt x)) (tan (/ x 2))) (* (/ (sqrt (sin x)) (sqrt x)) (tan (/ x 2))) (* (/ (sqrt (sin x)) x) (tan (/ x 2))) (* (/ (sin x) (cbrt x)) (tan (/ x 2))) (* (/ (sin x) (sqrt x)) (tan (/ x 2))) (* (/ (sin x) x) (tan (/ x 2))) (* (/ (sin x) x) (tan (/ x 2))) (* (/ 1 x) (tan (/ x 2))) (* (/ (sin x) x) (sin (/ x 2))) (* (sin x) (tan (/ x 2))) (real->posit16 (* (/ (sin x) x) (tan (/ x 2)))) (expm1 (/ (sin x) x)) (log1p (/ (sin x) x)) (- (log (sin x)) (log x)) (log (/ (sin x) x)) (exp (/ (sin x) x)) (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x))) (cbrt (/ (sin x) x)) (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (sqrt (/ (sin x) x)) (sqrt (/ (sin x) x)) (- (sin x)) (- x) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt x) (cbrt x))) (/ (cbrt (sin x)) (cbrt x)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt x)) (/ (cbrt (sin x)) (sqrt x)) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) x) (/ (sqrt (sin x)) (* (cbrt x) (cbrt x))) (/ (sqrt (sin x)) (cbrt x)) (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sin x) (cbrt x)) (/ 1 (sqrt x)) (/ (sin x) (sqrt x)) (/ 1 1) (/ (sin x) x) (/ 1 x) (/ x (sin x)) (/ (sin x) (* (cbrt x) (cbrt x))) (/ (sin x) (sqrt x)) (/ (sin x) 1) (/ x (cbrt (sin x))) (/ x (sqrt (sin x))) (/ x (sin x)) (real->posit16 (/ (sin x) x)) (expm1 (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (log1p (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (- (+ (- (log (sin x)) (log x)) (log (tan (/ x 2)))) (log x)) (- (+ (log (/ (sin x) x)) (log (tan (/ x 2)))) (log x)) (- (log (* (/ (sin x) x) (tan (/ x 2)))) (log x)) (log (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (exp (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (/ (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2)))) (* (* x x) x)) (/ (* (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (* (* (tan (/ x 2)) (tan (/ x 2))) (tan (/ x 2)))) (* (* x x) x)) (/ (* (* (* (/ (sin x) x) (tan (/ x 2))) (* (/ (sin x) x) (tan (/ x 2)))) (* (/ (sin x) x) (tan (/ x 2)))) (* (* x x) x)) (* (cbrt (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (cbrt (/ (* (/ (sin x) x) (tan (/ x 2))) x))) (cbrt (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (* (* (/ (* (/ (sin x) x) (tan (/ x 2))) x) (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (sqrt (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (sqrt (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (- (* (/ (sin x) x) (tan (/ x 2)))) (- x) (/ (/ (sin x) x) (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (cbrt x)) (/ (/ (sin x) x) (sqrt x)) (/ (tan (/ x 2)) (sqrt x)) (/ (/ (sin x) x) 1) (/ (tan (/ x 2)) x) (/ 1 x) (/ x (* (/ (sin x) x) (tan (/ x 2)))) (/ (* (/ (sin x) x) (tan (/ x 2))) (* (cbrt x) (cbrt x))) (/ (* (/ (sin x) x) (tan (/ x 2))) (sqrt x)) (/ (* (/ (sin x) x) (tan (/ x 2))) 1) (/ x (tan (/ x 2))) (* x (* x (cos (/ x 2)))) (* x (cos (/ x 2))) (* x x) (real->posit16 (/ (* (/ (sin x) x) (tan (/ x 2))) x)) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) x)) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) x)) (- (+ (* 1/120 (pow x 4)) 1) (* 1/6 (pow x 2))) (/ (sin x) x) (/ (sin x) x) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))) 8.797 * * [simplify]: iteration 0: 160 enodes 8.850 * * [simplify]: iteration 1: 381 enodes 9.003 * * [simplify]: iteration 2: 1208 enodes 9.857 * * [simplify]: iteration complete: 5000 enodes 9.857 * * [simplify]: Extracting #0: cost 89 inf + 0 9.860 * * [simplify]: Extracting #1: cost 1021 inf + 1 9.866 * * [simplify]: Extracting #2: cost 1761 inf + 7341 9.885 * * [simplify]: Extracting #3: cost 1178 inf + 137307 9.966 * * [simplify]: Extracting #4: cost 223 inf + 466511 10.082 * * [simplify]: Extracting #5: cost 4 inf + 556473 10.203 * * [simplify]: Extracting #6: cost 0 inf + 557245 10.333 * * [simplify]: Extracting #7: cost 0 inf + 557045 10.471 * [simplify]: Simplified to: (expm1 (/ (* (sin x) (tan (/ x 2))) x)) (log1p (/ (* (sin x) (tan (/ x 2))) x)) (/ (* (sin x) (tan (/ x 2))) x) (log (/ (* (sin x) (tan (/ x 2))) x)) (log (/ (* (sin x) (tan (/ x 2))) x)) (log (/ (* (sin x) (tan (/ x 2))) x)) (exp (/ (* (sin x) (tan (/ x 2))) x)) (* (/ (* (sin x) (tan (/ x 2))) x) (* (/ (* (sin x) (tan (/ x 2))) x) (/ (* (sin x) (tan (/ x 2))) x))) (* (/ (* (sin x) (tan (/ x 2))) x) (* (/ (* (sin x) (tan (/ x 2))) x) (/ (* (sin x) (tan (/ x 2))) x))) (* (cbrt (/ (* (sin x) (tan (/ x 2))) x)) (cbrt (/ (* (sin x) (tan (/ x 2))) x))) (cbrt (/ (* (sin x) (tan (/ x 2))) x)) (* (/ (* (sin x) (tan (/ x 2))) x) (* (/ (* (sin x) (tan (/ x 2))) x) (/ (* (sin x) (tan (/ x 2))) x))) (sqrt (/ (* (sin x) (tan (/ x 2))) x)) (sqrt (/ (* (sin x) (tan (/ x 2))) x)) (* (sin (/ x 2)) (sin x)) (* (cos (/ x 2)) x) (* (sqrt (tan (/ x 2))) (sqrt (/ (sin x) x))) (* (sqrt (tan (/ x 2))) (sqrt (/ (sin x) x))) (/ (* (sqrt (sin x)) (sqrt (tan (/ x 2)))) (sqrt x)) (/ (* (sqrt (sin x)) (sqrt (tan (/ x 2)))) (sqrt x)) (* (/ (sin x) x) (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))) (/ (sin x) (/ x (sqrt (tan (/ x 2))))) (/ (sin x) x) (* (cbrt (/ (sin x) x)) (tan (/ x 2))) (* (tan (/ x 2)) (sqrt (/ (sin x) x))) (/ (* (cbrt (sin x)) (tan (/ x 2))) (cbrt x)) (* (/ (cbrt (sin x)) (sqrt x)) (tan (/ x 2))) (* (/ (cbrt (sin x)) x) (tan (/ x 2))) (/ (sqrt (sin x)) (/ (cbrt x) (tan (/ x 2)))) (* (tan (/ x 2)) (/ (sqrt (sin x)) (sqrt x))) (/ (sqrt (sin x)) (/ x (tan (/ x 2)))) (/ (* (sin x) (tan (/ x 2))) (cbrt x)) (/ (sin x) (/ (sqrt x) (tan (/ x 2)))) (/ (* (sin x) (tan (/ x 2))) x) (/ (* (sin x) (tan (/ x 2))) x) (/ (tan (/ x 2)) x) (/ (sin x) (/ x (sin (/ x 2)))) (* (sin x) (tan (/ x 2))) (real->posit16 (/ (* (sin x) (tan (/ x 2))) x)) (expm1 (/ (sin x) x)) (log1p (/ (sin x) x)) (log (/ (sin x) x)) (log (/ (sin x) x)) (exp (/ (sin x) x)) (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x))) (cbrt (/ (sin x) x)) (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (sqrt (/ (sin x) x)) (sqrt (/ (sin x) x)) (- (sin x)) (- x) (* (/ (cbrt (sin x)) (cbrt x)) (/ (cbrt (sin x)) (cbrt x))) (/ (cbrt (sin x)) (cbrt x)) (* (/ (cbrt (sin x)) (sqrt x)) (cbrt (sin x))) (/ (cbrt (sin x)) (sqrt x)) (* (cbrt (sin x)) (cbrt (sin x))) (/ (cbrt (sin x)) x) (/ (sqrt (sin x)) (* (cbrt x) (cbrt x))) (/ (sqrt (sin x)) (cbrt x)) (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) (sqrt x)) (sqrt (sin x)) (/ (sqrt (sin x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sin x) (cbrt x)) (/ 1 (sqrt x)) (/ (sin x) (sqrt x)) 1 (/ (sin x) x) (/ 1 x) (/ x (sin x)) (/ (sin x) (* (cbrt x) (cbrt x))) (/ (sin x) (sqrt x)) (sin x) (/ x (cbrt (sin x))) (/ x (sqrt (sin x))) (/ x (sin x)) (real->posit16 (/ (sin x) x)) (expm1 (/ (/ (sin x) x) (/ x (tan (/ x 2))))) (log1p (/ (/ (sin x) x) (/ x (tan (/ x 2))))) (log (/ (/ (sin x) x) (/ x (tan (/ x 2))))) (log (/ (/ (sin x) x) (/ x (tan (/ x 2))))) (log (/ (/ (sin x) x) (/ x (tan (/ x 2))))) (log (/ (/ (sin x) x) (/ x (tan (/ x 2))))) (exp (/ (/ (sin x) x) (/ x (tan (/ x 2))))) (* (* (/ (/ (* (sin x) (tan (/ x 2))) x) x) (/ (/ (* (sin x) (tan (/ x 2))) x) x)) (/ (/ (* (sin x) (tan (/ x 2))) x) x)) (* (* (/ (/ (* (sin x) (tan (/ x 2))) x) x) (/ (/ (* (sin x) (tan (/ x 2))) x) x)) (/ (/ (* (sin x) (tan (/ x 2))) x) x)) (* (* (/ (/ (* (sin x) (tan (/ x 2))) x) x) (/ (/ (* (sin x) (tan (/ x 2))) x) x)) (/ (/ (* (sin x) (tan (/ x 2))) x) x)) (* (cbrt (/ (/ (sin x) x) (/ x (tan (/ x 2))))) (cbrt (/ (/ (sin x) x) (/ x (tan (/ x 2)))))) (cbrt (/ (/ (sin x) x) (/ x (tan (/ x 2))))) (* (* (/ (/ (* (sin x) (tan (/ x 2))) x) x) (/ (/ (* (sin x) (tan (/ x 2))) x) x)) (/ (/ (* (sin x) (tan (/ x 2))) x) x)) (sqrt (/ (/ (sin x) x) (/ x (tan (/ x 2))))) (sqrt (/ (/ (sin x) x) (/ x (tan (/ x 2))))) (* (/ (sin x) x) (- (tan (/ x 2)))) (- x) (/ (/ (sin x) x) (* (cbrt x) (cbrt x))) (/ (tan (/ x 2)) (cbrt x)) (/ (sin x) (* x (sqrt x))) (/ (tan (/ x 2)) (sqrt x)) (/ (sin x) x) (/ (tan (/ x 2)) x) (/ 1 x) (/ x (/ (* (sin x) (tan (/ x 2))) x)) (/ (tan (/ x 2)) (/ (* (cbrt x) (cbrt x)) (/ (sin x) x))) (/ (* (sin x) (tan (/ x 2))) (* x (sqrt x))) (/ (* (sin x) (tan (/ x 2))) x) (/ x (tan (/ x 2))) (* (* x x) (cos (/ x 2))) (* (cos (/ x 2)) x) (* x x) (real->posit16 (/ (/ (sin x) x) (/ x (tan (/ x 2))))) (fma 1/720 (pow x 5) (* x (- 1/2 (* (* 1/24 x) x)))) (/ (* (sin x) (sin (/ x 2))) (* x (cos (/ x 2)))) (/ (* (sin x) (sin (/ x 2))) (* x (cos (/ x 2)))) (fma (* x x) -1/6 (fma 1/120 (* (* x x) (* x x)) 1)) (/ (sin x) x) (/ (sin x) x) (fma -1/24 (* x x) (fma 1/720 (* (* x x) (* x x)) 1/2)) (/ (* (/ (sin x) (cos (/ x 2))) (sin (/ x 2))) (* x x)) (/ (* (/ (sin x) (cos (/ x 2))) (sin (/ x 2))) (* x x)) 10.476 * * * [progress]: adding candidates to table 10.867 * [progress]: [Phase 3 of 3] Extracting. 10.867 * * [regime]: Finding splitpoints for: (# # # #) 10.869 * * * [regime-changes]: Trying 1 branch expressions: (x) 10.869 * * * * [regimes]: Trying to branch on x from (# # # #) 10.894 * * * [regime]: Found split indices: #