1.094 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.142 * * * [progress]: [2/2] Setting up program. 0.149 * [progress]: [Phase 2 of 3] Improving. 0.149 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.152 * [simplify]: Simplifying: (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 0.153 * * [simplify]: iteration 0: 9 enodes 0.162 * * [simplify]: iteration 1: 18 enodes 0.168 * * [simplify]: iteration 2: 21 enodes 0.174 * * [simplify]: iteration 3: 23 enodes 0.181 * * [simplify]: iteration complete: 23 enodes 0.182 * * [simplify]: Extracting #0: cost 1 inf + 0 0.182 * * [simplify]: Extracting #1: cost 3 inf + 0 0.182 * * [simplify]: Extracting #2: cost 3 inf + 1 0.182 * * [simplify]: Extracting #3: cost 4 inf + 1 0.183 * * [simplify]: Extracting #4: cost 9 inf + 1 0.183 * * [simplify]: Extracting #5: cost 12 inf + 1 0.183 * * [simplify]: Extracting #6: cost 8 inf + 86 0.183 * * [simplify]: Extracting #7: cost 3 inf + 536 0.183 * * [simplify]: Extracting #8: cost 1 inf + 965 0.184 * * [simplify]: Extracting #9: cost 0 inf + 1273 0.184 * [simplify]: Simplified to: (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) 0.187 * * [progress]: iteration 1 / 4 0.187 * * * [progress]: picking best candidate 0.192 * * * * [pick]: Picked # 0.192 * * * [progress]: localizing error 0.227 * * * [progress]: generating rewritten candidates 0.227 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1) 0.284 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.306 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.312 * * * [progress]: generating series expansions 0.312 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1) 0.319 * [backup-simplify]: Simplify (/ (- 1 x) (+ 1 x)) into (/ (- 1 x) (+ x 1)) 0.319 * [approximate]: Taking taylor expansion of (/ (- 1 x) (+ x 1)) in (x) around 0 0.320 * [taylor]: Taking taylor expansion of (/ (- 1 x) (+ x 1)) in x 0.320 * [taylor]: Taking taylor expansion of (- 1 x) in x 0.320 * [taylor]: Taking taylor expansion of 1 in x 0.320 * [backup-simplify]: Simplify 1 into 1 0.320 * [taylor]: Taking taylor expansion of x in x 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.321 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.321 * [taylor]: Taking taylor expansion of 1 in x 0.321 * [backup-simplify]: Simplify 1 into 1 0.322 * [backup-simplify]: Simplify (- 0) into 0 0.322 * [backup-simplify]: Simplify (+ 1 0) into 1 0.323 * [backup-simplify]: Simplify (+ 0 1) into 1 0.323 * [backup-simplify]: Simplify (/ 1 1) into 1 0.323 * [taylor]: Taking taylor expansion of (/ (- 1 x) (+ x 1)) in x 0.323 * [taylor]: Taking taylor expansion of (- 1 x) in x 0.323 * [taylor]: Taking taylor expansion of 1 in x 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [taylor]: Taking taylor expansion of 1 in x 0.323 * [backup-simplify]: Simplify 1 into 1 0.324 * [backup-simplify]: Simplify (- 0) into 0 0.324 * [backup-simplify]: Simplify (+ 1 0) into 1 0.325 * [backup-simplify]: Simplify (+ 0 1) into 1 0.325 * [backup-simplify]: Simplify (/ 1 1) into 1 0.326 * [backup-simplify]: Simplify 1 into 1 0.326 * [backup-simplify]: Simplify (- 1) into -1 0.327 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.327 * [backup-simplify]: Simplify (+ 1 0) into 1 0.328 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 0.328 * [backup-simplify]: Simplify -2 into -2 0.328 * [backup-simplify]: Simplify (- 0) into 0 0.329 * [backup-simplify]: Simplify (+ 0 0) into 0 0.329 * [backup-simplify]: Simplify (+ 0 0) into 0 0.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -2 (/ 1 1)))) into 2 0.330 * [backup-simplify]: Simplify 2 into 2 0.332 * [backup-simplify]: Simplify (+ (* 2 (pow x 2)) (+ (* -2 x) 1)) into (- (+ (* 2 (pow x 2)) 1) (* 2 x)) 0.332 * [backup-simplify]: Simplify (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) into (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)) 0.332 * [approximate]: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)) in (x) around 0 0.332 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)) in x 0.332 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.332 * [taylor]: Taking taylor expansion of 1 in x 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify (/ 1 1) into 1 0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (/ 1 1) into 1 0.334 * [taylor]: Taking taylor expansion of 1 in x 0.334 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (- 1) into -1 0.335 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.335 * [backup-simplify]: Simplify (+ 1 0) into 1 0.335 * [backup-simplify]: Simplify (/ -1 1) into -1 0.335 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)) in x 0.335 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.335 * [taylor]: Taking taylor expansion of 1 in x 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [taylor]: Taking taylor expansion of (/ 1 x) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 x) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.336 * [taylor]: Taking taylor expansion of 1 in x 0.336 * [backup-simplify]: Simplify 1 into 1 0.337 * [backup-simplify]: Simplify (- 1) into -1 0.337 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.338 * [backup-simplify]: Simplify (+ 1 0) into 1 0.338 * [backup-simplify]: Simplify (/ -1 1) into -1 0.338 * [backup-simplify]: Simplify -1 into -1 0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.339 * [backup-simplify]: Simplify (- 0) into 0 0.340 * [backup-simplify]: Simplify (+ 1 0) into 1 0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (+ 0 1) into 1 0.342 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 0.342 * [backup-simplify]: Simplify 2 into 2 0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.343 * [backup-simplify]: Simplify (- 0) into 0 0.343 * [backup-simplify]: Simplify (+ 0 0) into 0 0.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.345 * [backup-simplify]: Simplify (+ 0 0) into 0 0.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 1 1)))) into -2 0.346 * [backup-simplify]: Simplify -2 into -2 0.346 * [backup-simplify]: Simplify (+ (* -2 (pow (/ 1 x) 2)) (+ (* 2 (/ 1 x)) -1)) into (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) 0.347 * [backup-simplify]: Simplify (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) into (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))) 0.347 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))) in (x) around 0 0.347 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))) in x 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 1 into 1 0.347 * [backup-simplify]: Simplify (/ 1 1) into 1 0.347 * [taylor]: Taking taylor expansion of 1 in x 0.347 * [backup-simplify]: Simplify 1 into 1 0.347 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.347 * [taylor]: Taking taylor expansion of 1 in x 0.347 * [backup-simplify]: Simplify 1 into 1 0.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 1 into 1 0.348 * [backup-simplify]: Simplify (/ 1 1) into 1 0.348 * [backup-simplify]: Simplify (+ 1 0) into 1 0.349 * [backup-simplify]: Simplify (- 1) into -1 0.349 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.349 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.349 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))) in x 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 1 into 1 0.350 * [backup-simplify]: Simplify (/ 1 1) into 1 0.350 * [taylor]: Taking taylor expansion of 1 in x 0.350 * [backup-simplify]: Simplify 1 into 1 0.350 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.350 * [taylor]: Taking taylor expansion of 1 in x 0.350 * [backup-simplify]: Simplify 1 into 1 0.350 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify (/ 1 1) into 1 0.351 * [backup-simplify]: Simplify (+ 1 0) into 1 0.351 * [backup-simplify]: Simplify (- 1) into -1 0.352 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.352 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.352 * [backup-simplify]: Simplify -1 into -1 0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (+ 0 1) into 1 0.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.354 * [backup-simplify]: Simplify (- 0) into 0 0.355 * [backup-simplify]: Simplify (+ 1 0) into 1 0.356 * [backup-simplify]: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 0.356 * [backup-simplify]: Simplify -2 into -2 0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.357 * [backup-simplify]: Simplify (+ 0 0) into 0 0.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.358 * [backup-simplify]: Simplify (- 0) into 0 0.358 * [backup-simplify]: Simplify (+ 0 0) into 0 0.360 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2 0.360 * [backup-simplify]: Simplify -2 into -2 0.360 * [backup-simplify]: Simplify (+ (* -2 (pow (/ 1 (- x)) 2)) (+ (* -2 (/ 1 (- x))) -1)) into (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) 0.360 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.360 * [backup-simplify]: Simplify (sqrt (/ (- 1 x) (+ 1 x))) into (sqrt (/ (- 1 x) (+ x 1))) 0.360 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1 x) (+ x 1))) in (x) around 0 0.360 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1 x) (+ x 1))) in x 0.360 * [taylor]: Taking taylor expansion of (/ (- 1 x) (+ x 1)) in x 0.360 * [taylor]: Taking taylor expansion of (- 1 x) in x 0.360 * [taylor]: Taking taylor expansion of 1 in x 0.360 * [backup-simplify]: Simplify 1 into 1 0.360 * [taylor]: Taking taylor expansion of x in x 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 1 into 1 0.360 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 1 into 1 0.360 * [taylor]: Taking taylor expansion of 1 in x 0.361 * [backup-simplify]: Simplify 1 into 1 0.361 * [backup-simplify]: Simplify (- 0) into 0 0.361 * [backup-simplify]: Simplify (+ 1 0) into 1 0.362 * [backup-simplify]: Simplify (+ 0 1) into 1 0.362 * [backup-simplify]: Simplify (/ 1 1) into 1 0.363 * [backup-simplify]: Simplify (sqrt 1) into 1 0.363 * [backup-simplify]: Simplify (- 1) into -1 0.363 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.364 * [backup-simplify]: Simplify (+ 1 0) into 1 0.365 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 0.366 * [backup-simplify]: Simplify (/ -2 (* 2 (sqrt 1))) into -1 0.366 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1 x) (+ x 1))) in x 0.366 * [taylor]: Taking taylor expansion of (/ (- 1 x) (+ x 1)) in x 0.366 * [taylor]: Taking taylor expansion of (- 1 x) in x 0.366 * [taylor]: Taking taylor expansion of 1 in x 0.366 * [backup-simplify]: Simplify 1 into 1 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 1 into 1 0.366 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 1 into 1 0.366 * [taylor]: Taking taylor expansion of 1 in x 0.366 * [backup-simplify]: Simplify 1 into 1 0.367 * [backup-simplify]: Simplify (- 0) into 0 0.367 * [backup-simplify]: Simplify (+ 1 0) into 1 0.368 * [backup-simplify]: Simplify (+ 0 1) into 1 0.368 * [backup-simplify]: Simplify (/ 1 1) into 1 0.369 * [backup-simplify]: Simplify (sqrt 1) into 1 0.369 * [backup-simplify]: Simplify (- 1) into -1 0.370 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.370 * [backup-simplify]: Simplify (+ 1 0) into 1 0.371 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 0.372 * [backup-simplify]: Simplify (/ -2 (* 2 (sqrt 1))) into -1 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [backup-simplify]: Simplify -1 into -1 0.373 * [backup-simplify]: Simplify (- 0) into 0 0.374 * [backup-simplify]: Simplify (+ 0 0) into 0 0.374 * [backup-simplify]: Simplify (+ 0 0) into 0 0.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -2 (/ 1 1)))) into 2 0.376 * [backup-simplify]: Simplify (/ (- 2 (pow -1 2) (+)) (* 2 1)) into 1/2 0.376 * [backup-simplify]: Simplify 1/2 into 1/2 0.376 * [backup-simplify]: Simplify (+ (* 1/2 (pow x 2)) (+ (* -1 x) 1)) into (- (+ (* 1/2 (pow x 2)) 1) x) 0.377 * [backup-simplify]: Simplify (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) into (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))) 0.377 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))) in (x) around 0 0.377 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))) in x 0.377 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)) in x 0.377 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.377 * [taylor]: Taking taylor expansion of 1 in x 0.377 * [backup-simplify]: Simplify 1 into 1 0.377 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.377 * [backup-simplify]: Simplify (/ 1 1) into 1 0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.377 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.378 * [backup-simplify]: Simplify (/ 1 1) into 1 0.378 * [taylor]: Taking taylor expansion of 1 in x 0.378 * [backup-simplify]: Simplify 1 into 1 0.378 * [backup-simplify]: Simplify (- 1) into -1 0.379 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.379 * [backup-simplify]: Simplify (+ 1 0) into 1 0.379 * [backup-simplify]: Simplify (/ -1 1) into -1 0.380 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.381 * [backup-simplify]: Simplify (- 0) into 0 0.381 * [backup-simplify]: Simplify (+ 1 0) into 1 0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (+ 0 1) into 1 0.383 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 0.385 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt -1))) into (/ 1 (sqrt -1)) 0.385 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))) in x 0.385 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)) in x 0.385 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.385 * [taylor]: Taking taylor expansion of 1 in x 0.385 * [backup-simplify]: Simplify 1 into 1 0.385 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify 1 into 1 0.385 * [backup-simplify]: Simplify (/ 1 1) into 1 0.385 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.385 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.385 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 1 into 1 0.386 * [backup-simplify]: Simplify (/ 1 1) into 1 0.386 * [taylor]: Taking taylor expansion of 1 in x 0.386 * [backup-simplify]: Simplify 1 into 1 0.386 * [backup-simplify]: Simplify (- 1) into -1 0.387 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.387 * [backup-simplify]: Simplify (+ 1 0) into 1 0.387 * [backup-simplify]: Simplify (/ -1 1) into -1 0.388 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.389 * [backup-simplify]: Simplify (- 0) into 0 0.389 * [backup-simplify]: Simplify (+ 1 0) into 1 0.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.391 * [backup-simplify]: Simplify (+ 0 1) into 1 0.391 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 0.393 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt -1))) into (/ 1 (sqrt -1)) 0.393 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.394 * [backup-simplify]: Simplify (/ 1 (sqrt -1)) into (/ 1 (sqrt -1)) 0.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (- 0) into 0 0.396 * [backup-simplify]: Simplify (+ 0 0) into 0 0.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.397 * [backup-simplify]: Simplify (+ 0 0) into 0 0.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 1 1)))) into -2 0.401 * [backup-simplify]: Simplify (/ (- -2 (pow (/ 1 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (/ -1/2 (sqrt -1)) 0.402 * [backup-simplify]: Simplify (/ -1/2 (sqrt -1)) into (/ -1/2 (sqrt -1)) 0.404 * [backup-simplify]: Simplify (+ (* (/ -1/2 (sqrt -1)) (pow (/ 1 x) 2)) (+ (* (/ 1 (sqrt -1)) (/ 1 x)) (sqrt -1))) into (- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) 0.405 * [backup-simplify]: Simplify (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) into (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))) 0.405 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))) in (x) around 0 0.405 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))) in x 0.405 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))) in x 0.405 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify 1 into 1 0.405 * [backup-simplify]: Simplify (/ 1 1) into 1 0.405 * [taylor]: Taking taylor expansion of 1 in x 0.405 * [backup-simplify]: Simplify 1 into 1 0.405 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.405 * [taylor]: Taking taylor expansion of 1 in x 0.405 * [backup-simplify]: Simplify 1 into 1 0.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify 1 into 1 0.406 * [backup-simplify]: Simplify (/ 1 1) into 1 0.406 * [backup-simplify]: Simplify (+ 1 0) into 1 0.406 * [backup-simplify]: Simplify (- 1) into -1 0.407 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.407 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.408 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.409 * [backup-simplify]: Simplify (+ 0 1) into 1 0.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.410 * [backup-simplify]: Simplify (- 0) into 0 0.410 * [backup-simplify]: Simplify (+ 1 0) into 1 0.411 * [backup-simplify]: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 0.412 * [backup-simplify]: Simplify (/ -2 (* 2 (sqrt -1))) into (/ -1 (sqrt -1)) 0.413 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))) in x 0.413 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))) in x 0.413 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [backup-simplify]: Simplify (/ 1 1) into 1 0.413 * [taylor]: Taking taylor expansion of 1 in x 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.413 * [taylor]: Taking taylor expansion of 1 in x 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.414 * [backup-simplify]: Simplify (/ 1 1) into 1 0.414 * [backup-simplify]: Simplify (+ 1 0) into 1 0.422 * [backup-simplify]: Simplify (- 1) into -1 0.423 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.423 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.424 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.425 * [backup-simplify]: Simplify (+ 0 1) into 1 0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.426 * [backup-simplify]: Simplify (- 0) into 0 0.427 * [backup-simplify]: Simplify (+ 1 0) into 1 0.427 * [backup-simplify]: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 0.429 * [backup-simplify]: Simplify (/ -2 (* 2 (sqrt -1))) into (/ -1 (sqrt -1)) 0.430 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.430 * [backup-simplify]: Simplify (/ -1 (sqrt -1)) into (/ -1 (sqrt -1)) 0.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.432 * [backup-simplify]: Simplify (+ 0 0) into 0 0.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (- 0) into 0 0.433 * [backup-simplify]: Simplify (+ 0 0) into 0 0.435 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2 0.438 * [backup-simplify]: Simplify (/ (- -2 (pow (/ -1 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (/ -1/2 (sqrt -1)) 0.439 * [backup-simplify]: Simplify (/ -1/2 (sqrt -1)) into (/ -1/2 (sqrt -1)) 0.441 * [backup-simplify]: Simplify (+ (* (/ -1/2 (sqrt -1)) (pow (/ 1 (- x)) 2)) (+ (* (/ -1 (sqrt -1)) (/ 1 (- x))) (sqrt -1))) into (- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) 0.442 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.442 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) 0.442 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ x 1)))) in (x) around 0 0.442 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ x 1)))) in x 0.444 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 x) (+ x 1)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) 0.444 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ x 1)))) in x 0.444 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 x) (+ x 1)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) 0.445 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 x) (+ x 1)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 x) (+ x 1)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) 0.445 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 0.445 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) in (x) around 0 0.445 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) in x 0.445 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 0.445 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) in x 0.446 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 0.446 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 (/ 1 (/ 1 x))) (+ (/ 1 (/ 1 x)) 1)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) 0.446 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) into (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 0.447 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) in (x) around 0 0.447 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) in x 0.447 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 0.447 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) in x 0.447 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 0.447 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 (/ 1 (- x))) 1) (- 1 (/ 1 (/ 1 (- x))))))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) 0.448 * * * [progress]: simplifying candidates 0.448 * * * * [progress]: [ 1 / 118 ] simplifiying candidate # 0.448 * * * * [progress]: [ 2 / 118 ] simplifiying candidate # 0.448 * * * * [progress]: [ 3 / 118 ] simplifiying candidate # 0.448 * * * * [progress]: [ 4 / 118 ] simplifiying candidate # 0.448 * * * * [progress]: [ 5 / 118 ] simplifiying candidate # 0.448 * * * * [progress]: [ 6 / 118 ] simplifiying candidate # 0.448 * * * * [progress]: [ 7 / 118 ] simplifiying candidate # 0.448 * * * * [progress]: [ 8 / 118 ] simplifiying candidate # 0.448 * * * * [progress]: [ 9 / 118 ] simplifiying candidate # 0.448 * * * * [progress]: [ 10 / 118 ] simplifiying candidate # 0.449 * * * * [progress]: [ 11 / 118 ] simplifiying candidate # 0.449 * * * * [progress]: [ 12 / 118 ] simplifiying candidate # 0.449 * * * * [progress]: [ 13 / 118 ] simplifiying candidate # 0.449 * * * * [progress]: [ 14 / 118 ] simplifiying candidate # 0.449 * * * * [progress]: [ 15 / 118 ] simplifiying candidate # 0.449 * * * * [progress]: [ 16 / 118 ] simplifiying candidate # 0.449 * * * * [progress]: [ 17 / 118 ] simplifiying candidate # 0.449 * * * * [progress]: [ 18 / 118 ] simplifiying candidate # 0.449 * * * * [progress]: [ 19 / 118 ] simplifiying candidate # 0.449 * * * * [progress]: [ 20 / 118 ] simplifiying candidate # 0.449 * * * * [progress]: [ 21 / 118 ] simplifiying candidate # 0.449 * * * * [progress]: [ 22 / 118 ] simplifiying candidate # 0.449 * * * * [progress]: [ 23 / 118 ] simplifiying candidate # 0.449 * * * * [progress]: [ 24 / 118 ] simplifiying candidate # 0.449 * * * * [progress]: [ 25 / 118 ] simplifiying candidate # 0.449 * * * * [progress]: [ 26 / 118 ] simplifiying candidate # 0.450 * * * * [progress]: [ 27 / 118 ] simplifiying candidate # 0.450 * * * * [progress]: [ 28 / 118 ] simplifiying candidate # 0.450 * * * * [progress]: [ 29 / 118 ] simplifiying candidate # 0.450 * * * * [progress]: [ 30 / 118 ] simplifiying candidate # 0.450 * * * * [progress]: [ 31 / 118 ] simplifiying candidate # 0.450 * * * * [progress]: [ 32 / 118 ] simplifiying candidate # 0.450 * * * * [progress]: [ 33 / 118 ] simplifiying candidate # 0.450 * * * * [progress]: [ 34 / 118 ] simplifiying candidate # 0.450 * * * * [progress]: [ 35 / 118 ] simplifiying candidate # 0.450 * * * * [progress]: [ 36 / 118 ] simplifiying candidate # 0.450 * * * * [progress]: [ 37 / 118 ] simplifiying candidate # 0.450 * * * * [progress]: [ 38 / 118 ] simplifiying candidate # 0.450 * * * * [progress]: [ 39 / 118 ] simplifiying candidate # 0.450 * * * * [progress]: [ 40 / 118 ] simplifiying candidate # 0.450 * * * * [progress]: [ 41 / 118 ] simplifiying candidate # 0.450 * * * * [progress]: [ 42 / 118 ] simplifiying candidate # 0.451 * * * * [progress]: [ 43 / 118 ] simplifiying candidate # 0.451 * * * * [progress]: [ 44 / 118 ] simplifiying candidate # 0.451 * * * * [progress]: [ 45 / 118 ] simplifiying candidate # 0.451 * * * * [progress]: [ 46 / 118 ] simplifiying candidate # 0.451 * * * * [progress]: [ 47 / 118 ] simplifiying candidate # 0.451 * * * * [progress]: [ 48 / 118 ] simplifiying candidate # 0.451 * * * * [progress]: [ 49 / 118 ] simplifiying candidate # 0.451 * * * * [progress]: [ 50 / 118 ] simplifiying candidate # 0.451 * * * * [progress]: [ 51 / 118 ] simplifiying candidate # 0.451 * * * * [progress]: [ 52 / 118 ] simplifiying candidate # 0.451 * * * * [progress]: [ 53 / 118 ] simplifiying candidate # 0.451 * * * * [progress]: [ 54 / 118 ] simplifiying candidate #real (real->posit16 (/ (- 1 x) (+ 1 x))))))))> 0.451 * * * * [progress]: [ 55 / 118 ] simplifiying candidate # 0.451 * * * * [progress]: [ 56 / 118 ] simplifiying candidate # 0.451 * * * * [progress]: [ 57 / 118 ] simplifiying candidate # 0.451 * * * * [progress]: [ 58 / 118 ] simplifiying candidate # 0.451 * * * * [progress]: [ 59 / 118 ] simplifiying candidate # 0.452 * * * * [progress]: [ 60 / 118 ] simplifiying candidate # 0.452 * * * * [progress]: [ 61 / 118 ] simplifiying candidate # 0.452 * * * * [progress]: [ 62 / 118 ] simplifiying candidate # 0.452 * * * * [progress]: [ 63 / 118 ] simplifiying candidate # 0.452 * * * * [progress]: [ 64 / 118 ] simplifiying candidate # 0.452 * * * * [progress]: [ 65 / 118 ] simplifiying candidate # 0.452 * * * * [progress]: [ 66 / 118 ] simplifiying candidate # 0.452 * * * * [progress]: [ 67 / 118 ] simplifiying candidate # 0.452 * * * * [progress]: [ 68 / 118 ] simplifiying candidate # 0.452 * * * * [progress]: [ 69 / 118 ] simplifiying candidate # 0.452 * * * * [progress]: [ 70 / 118 ] simplifiying candidate # 0.452 * * * * [progress]: [ 71 / 118 ] simplifiying candidate # 0.452 * * * * [progress]: [ 72 / 118 ] simplifiying candidate # 0.452 * * * * [progress]: [ 73 / 118 ] simplifiying candidate # 0.452 * * * * [progress]: [ 74 / 118 ] simplifiying candidate # 0.452 * * * * [progress]: [ 75 / 118 ] simplifiying candidate # 0.453 * * * * [progress]: [ 76 / 118 ] simplifiying candidate # 0.453 * * * * [progress]: [ 77 / 118 ] simplifiying candidate # 0.453 * * * * [progress]: [ 78 / 118 ] simplifiying candidate # 0.453 * * * * [progress]: [ 79 / 118 ] simplifiying candidate # 0.453 * * * * [progress]: [ 80 / 118 ] simplifiying candidate # 0.453 * * * * [progress]: [ 81 / 118 ] simplifiying candidate # 0.453 * * * * [progress]: [ 82 / 118 ] simplifiying candidate # 0.453 * * * * [progress]: [ 83 / 118 ] simplifiying candidate # 0.453 * * * * [progress]: [ 84 / 118 ] simplifiying candidate # 0.453 * * * * [progress]: [ 85 / 118 ] simplifiying candidate # 0.453 * * * * [progress]: [ 86 / 118 ] simplifiying candidate # 0.453 * * * * [progress]: [ 87 / 118 ] simplifiying candidate # 0.453 * * * * [progress]: [ 88 / 118 ] simplifiying candidate # 0.453 * * * * [progress]: [ 89 / 118 ] simplifiying candidate # 0.453 * * * * [progress]: [ 90 / 118 ] simplifiying candidate # 0.453 * * * * [progress]: [ 91 / 118 ] simplifiying candidate # 0.454 * * * * [progress]: [ 92 / 118 ] simplifiying candidate # 0.454 * * * * [progress]: [ 93 / 118 ] simplifiying candidate # 0.454 * * * * [progress]: [ 94 / 118 ] simplifiying candidate # 0.454 * * * * [progress]: [ 95 / 118 ] simplifiying candidate # 0.454 * * * * [progress]: [ 96 / 118 ] simplifiying candidate # 0.454 * * * * [progress]: [ 97 / 118 ] simplifiying candidate # 0.454 * * * * [progress]: [ 98 / 118 ] simplifiying candidate # 0.454 * * * * [progress]: [ 99 / 118 ] simplifiying candidate #real (real->posit16 (sqrt (/ (- 1 x) (+ 1 x))))))))> 0.454 * * * * [progress]: [ 100 / 118 ] simplifiying candidate # 0.454 * * * * [progress]: [ 101 / 118 ] simplifiying candidate # 0.454 * * * * [progress]: [ 102 / 118 ] simplifiying candidate # 0.454 * * * * [progress]: [ 103 / 118 ] simplifiying candidate # 0.454 * * * * [progress]: [ 104 / 118 ] simplifiying candidate # 0.454 * * * * [progress]: [ 105 / 118 ] simplifiying candidate # 0.454 * * * * [progress]: [ 106 / 118 ] simplifiying candidate # 0.454 * * * * [progress]: [ 107 / 118 ] simplifiying candidate # 0.454 * * * * [progress]: [ 108 / 118 ] simplifiying candidate # 0.455 * * * * [progress]: [ 109 / 118 ] simplifiying candidate #real (real->posit16 (atan (sqrt (/ (- 1 x) (+ 1 x))))))))> 0.455 * * * * [progress]: [ 110 / 118 ] simplifiying candidate # 0.455 * * * * [progress]: [ 111 / 118 ] simplifiying candidate # 0.455 * * * * [progress]: [ 112 / 118 ] simplifiying candidate # 0.455 * * * * [progress]: [ 113 / 118 ] simplifiying candidate # 0.455 * * * * [progress]: [ 114 / 118 ] simplifiying candidate # 0.455 * * * * [progress]: [ 115 / 118 ] simplifiying candidate # 0.455 * * * * [progress]: [ 116 / 118 ] simplifiying candidate # 0.455 * * * * [progress]: [ 117 / 118 ] simplifiying candidate # 0.455 * * * * [progress]: [ 118 / 118 ] simplifiying candidate # 0.457 * [simplify]: Simplifying: (expm1 (/ (- 1 x) (+ 1 x))) (log1p (/ (- 1 x) (+ 1 x))) (- (log (- 1 x)) (log (+ 1 x))) (log (/ (- 1 x) (+ 1 x))) (exp (/ (- 1 x) (+ 1 x))) (/ (* (* (- 1 x) (- 1 x)) (- 1 x)) (* (* (+ 1 x) (+ 1 x)) (+ 1 x))) (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x))) (* (* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x))) (sqrt (/ (- 1 x) (+ 1 x))) (sqrt (/ (- 1 x) (+ 1 x))) (- (- 1 x)) (- (+ 1 x)) (/ 1 (+ 1 x)) (/ x (+ 1 x)) (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (cbrt (- 1 x)) (cbrt (+ 1 x))) (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) (/ (cbrt (- 1 x)) (+ 1 x)) (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) (/ (cbrt (- 1 x)) (+ 1 x)) (/ (sqrt (- 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (- 1 x)) (cbrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) 1) (/ (sqrt (- 1 x)) (+ 1 x)) (/ (sqrt (- 1 x)) 1) (/ (sqrt (- 1 x)) (+ 1 x)) (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- 1 x) (cbrt (+ 1 x))) (/ 1 (sqrt (+ 1 x))) (/ (- 1 x) (sqrt (+ 1 x))) (/ 1 1) (/ (- 1 x) (+ 1 x)) (/ 1 1) (/ (- 1 x) (+ 1 x)) (/ (+ (sqrt 1) (sqrt x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- (sqrt 1) (sqrt x)) (cbrt (+ 1 x))) (/ (+ (sqrt 1) (sqrt x)) (sqrt (+ 1 x))) (/ (- (sqrt 1) (sqrt x)) (sqrt (+ 1 x))) (/ (+ (sqrt 1) (sqrt x)) 1) (/ (- (sqrt 1) (sqrt x)) (+ 1 x)) (/ (+ (sqrt 1) (sqrt x)) 1) (/ (- (sqrt 1) (sqrt x)) (+ 1 x)) (/ (+ 1 (sqrt x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- 1 (sqrt x)) (cbrt (+ 1 x))) (/ (+ 1 (sqrt x)) (sqrt (+ 1 x))) (/ (- 1 (sqrt x)) (sqrt (+ 1 x))) (/ (+ 1 (sqrt x)) 1) (/ (- 1 (sqrt x)) (+ 1 x)) (/ (+ 1 (sqrt x)) 1) (/ (- 1 (sqrt x)) (+ 1 x)) (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- 1 x) (cbrt (+ 1 x))) (/ 1 (sqrt (+ 1 x))) (/ (- 1 x) (sqrt (+ 1 x))) (/ 1 1) (/ (- 1 x) (+ 1 x)) (/ 1 1) (/ (- 1 x) (+ 1 x)) (/ 1 (+ 1 x)) (/ (+ 1 x) (- 1 x)) (/ (- 1 x) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- 1 x) (sqrt (+ 1 x))) (/ (- 1 x) 1) (/ (- 1 x) 1) (/ (+ 1 x) (cbrt (- 1 x))) (/ (+ 1 x) (sqrt (- 1 x))) (/ (+ 1 x) (- 1 x)) (/ (+ 1 x) (- (sqrt 1) (sqrt x))) (/ (+ 1 x) (- 1 (sqrt x))) (/ (+ 1 x) (- 1 x)) (/ (- 1 x) (+ (pow 1 3) (pow x 3))) (/ (- 1 x) (- (* 1 1) (* x x))) (* (+ 1 x) (+ (* 1 1) (+ (* x x) (* 1 x)))) (* (+ 1 x) (+ 1 x)) (real->posit16 (/ (- 1 x) (+ 1 x))) (expm1 (sqrt (/ (- 1 x) (+ 1 x)))) (log1p (sqrt (/ (- 1 x) (+ 1 x)))) (log (sqrt (/ (- 1 x) (+ 1 x)))) (exp (sqrt (/ (- 1 x) (+ 1 x)))) (* (cbrt (sqrt (/ (- 1 x) (+ 1 x)))) (cbrt (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (sqrt (/ (- 1 x) (+ 1 x)))) (* (* (sqrt (/ (- 1 x) (+ 1 x))) (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))) (sqrt (cbrt (/ (- 1 x) (+ 1 x)))) (sqrt (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (/ (cbrt (- 1 x)) (cbrt (+ 1 x)))) (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))) (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1)) (sqrt (/ (cbrt (- 1 x)) (+ 1 x))) (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1)) (sqrt (/ (cbrt (- 1 x)) (+ 1 x))) (sqrt (/ (sqrt (- 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (/ (sqrt (- 1 x)) (cbrt (+ 1 x)))) (sqrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) (sqrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) (sqrt (/ (sqrt (- 1 x)) 1)) (sqrt (/ (sqrt (- 1 x)) (+ 1 x))) (sqrt (/ (sqrt (- 1 x)) 1)) (sqrt (/ (sqrt (- 1 x)) (+ 1 x))) (sqrt (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (/ (- 1 x) (cbrt (+ 1 x)))) (sqrt (/ 1 (sqrt (+ 1 x)))) (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1 x) (+ 1 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1 x) (+ 1 x))) (sqrt (/ (+ (sqrt 1) (sqrt x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (/ (- (sqrt 1) (sqrt x)) (cbrt (+ 1 x)))) (sqrt (/ (+ (sqrt 1) (sqrt x)) (sqrt (+ 1 x)))) (sqrt (/ (- (sqrt 1) (sqrt x)) (sqrt (+ 1 x)))) (sqrt (/ (+ (sqrt 1) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1) (sqrt x)) (+ 1 x))) (sqrt (/ (+ (sqrt 1) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1) (sqrt x)) (+ 1 x))) (sqrt (/ (+ 1 (sqrt x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (/ (- 1 (sqrt x)) (cbrt (+ 1 x)))) (sqrt (/ (+ 1 (sqrt x)) (sqrt (+ 1 x)))) (sqrt (/ (- 1 (sqrt x)) (sqrt (+ 1 x)))) (sqrt (/ (+ 1 (sqrt x)) 1)) (sqrt (/ (- 1 (sqrt x)) (+ 1 x))) (sqrt (/ (+ 1 (sqrt x)) 1)) (sqrt (/ (- 1 (sqrt x)) (+ 1 x))) (sqrt (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (/ (- 1 x) (cbrt (+ 1 x)))) (sqrt (/ 1 (sqrt (+ 1 x)))) (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1 x) (+ 1 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1 x) (+ 1 x))) (sqrt 1) (sqrt (/ (- 1 x) (+ 1 x))) (sqrt (- 1 x)) (sqrt (/ 1 (+ 1 x))) (sqrt (/ (- 1 x) (+ (pow 1 3) (pow x 3)))) (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))) (sqrt (/ (- 1 x) (- (* 1 1) (* x x)))) (sqrt (- 1 x)) (sqrt (- 1 x)) (sqrt (+ 1 x)) (/ 1 2) (sqrt (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (sqrt (/ (- 1 x) (+ 1 x)))) (real->posit16 (sqrt (/ (- 1 x) (+ 1 x)))) (expm1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (log1p (atan (sqrt (/ (- 1 x) (+ 1 x))))) (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (real->posit16 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (- (+ (* 2 (pow x 2)) 1) (* 2 x)) (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) (- (+ (* 1/2 (pow x 2)) 1) x) (- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) (- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1)))) 0.460 * * [simplify]: iteration 0: 174 enodes 0.520 * * [simplify]: iteration 1: 360 enodes 0.709 * * [simplify]: iteration 2: 795 enodes 1.204 * * [simplify]: iteration 3: 2236 enodes 2.402 * * [simplify]: iteration complete: 5000 enodes 2.403 * * [simplify]: Extracting #0: cost 98 inf + 0 2.406 * * [simplify]: Extracting #1: cost 743 inf + 2 2.413 * * [simplify]: Extracting #2: cost 1486 inf + 3702 2.437 * * [simplify]: Extracting #3: cost 952 inf + 102172 2.519 * * [simplify]: Extracting #4: cost 94 inf + 254805 2.580 * * [simplify]: Extracting #5: cost 33 inf + 273777 2.634 * * [simplify]: Extracting #6: cost 8 inf + 277316 2.685 * * [simplify]: Extracting #7: cost 0 inf + 279340 2.763 * [simplify]: Simplified to: (expm1 (/ (- 1 x) (+ 1 x))) (log1p (/ (- 1 x) (+ 1 x))) (log (/ (- 1 x) (+ 1 x))) (log (/ (- 1 x) (+ 1 x))) (exp (/ (- 1 x) (+ 1 x))) (* (* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x))) (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x))) (* (* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x))) (sqrt (/ (- 1 x) (+ 1 x))) (sqrt (/ (- 1 x) (+ 1 x))) (- (- 1 x)) (- -1 x) (/ 1 (+ 1 x)) (/ x (+ 1 x)) (* (/ (cbrt (- 1 x)) (cbrt (+ 1 x))) (/ (cbrt (- 1 x)) (cbrt (+ 1 x)))) (/ (cbrt (- 1 x)) (cbrt (+ 1 x))) (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) (* (cbrt (- 1 x)) (cbrt (- 1 x))) (/ (cbrt (- 1 x)) (+ 1 x)) (* (cbrt (- 1 x)) (cbrt (- 1 x))) (/ (cbrt (- 1 x)) (+ 1 x)) (/ (/ (sqrt (- 1 x)) (cbrt (+ 1 x))) (cbrt (+ 1 x))) (/ (sqrt (- 1 x)) (cbrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (- 1 x)) (/ (sqrt (- 1 x)) (+ 1 x)) (sqrt (- 1 x)) (/ (sqrt (- 1 x)) (+ 1 x)) (/ (/ 1 (cbrt (+ 1 x))) (cbrt (+ 1 x))) (/ (- 1 x) (cbrt (+ 1 x))) (/ 1 (sqrt (+ 1 x))) (/ (- 1 x) (sqrt (+ 1 x))) 1 (/ (- 1 x) (+ 1 x)) 1 (/ (- 1 x) (+ 1 x)) (/ (/ (+ (sqrt x) 1) (cbrt (+ 1 x))) (cbrt (+ 1 x))) (/ (- 1 (sqrt x)) (cbrt (+ 1 x))) (/ (+ (sqrt x) 1) (sqrt (+ 1 x))) (/ (- 1 (sqrt x)) (sqrt (+ 1 x))) (+ (sqrt x) 1) (/ (- 1 (sqrt x)) (+ 1 x)) (+ (sqrt x) 1) (/ (- 1 (sqrt x)) (+ 1 x)) (/ (/ (+ (sqrt x) 1) (cbrt (+ 1 x))) (cbrt (+ 1 x))) (/ (- 1 (sqrt x)) (cbrt (+ 1 x))) (/ (+ (sqrt x) 1) (sqrt (+ 1 x))) (/ (- 1 (sqrt x)) (sqrt (+ 1 x))) (+ (sqrt x) 1) (/ (- 1 (sqrt x)) (+ 1 x)) (+ (sqrt x) 1) (/ (- 1 (sqrt x)) (+ 1 x)) (/ (/ 1 (cbrt (+ 1 x))) (cbrt (+ 1 x))) (/ (- 1 x) (cbrt (+ 1 x))) (/ 1 (sqrt (+ 1 x))) (/ (- 1 x) (sqrt (+ 1 x))) 1 (/ (- 1 x) (+ 1 x)) 1 (/ (- 1 x) (+ 1 x)) (/ 1 (+ 1 x)) (/ (+ 1 x) (- 1 x)) (/ (/ (- 1 x) (cbrt (+ 1 x))) (cbrt (+ 1 x))) (/ (- 1 x) (sqrt (+ 1 x))) (- 1 x) (- 1 x) (/ (+ 1 x) (cbrt (- 1 x))) (/ (+ 1 x) (sqrt (- 1 x))) (/ (+ 1 x) (- 1 x)) (/ (+ 1 x) (- 1 (sqrt x))) (/ (+ 1 x) (- 1 (sqrt x))) (/ (+ 1 x) (- 1 x)) (/ (- 1 x) (fma (* x x) x 1)) (/ (- 1 x) (- 1 (* x x))) (* (fma x (+ 1 x) 1) (+ 1 x)) (* (+ 1 x) (+ 1 x)) (real->posit16 (/ (- 1 x) (+ 1 x))) (expm1 (sqrt (/ (- 1 x) (+ 1 x)))) (log1p (sqrt (/ (- 1 x) (+ 1 x)))) (log (sqrt (/ (- 1 x) (+ 1 x)))) (exp (sqrt (/ (- 1 x) (+ 1 x)))) (* (cbrt (sqrt (/ (- 1 x) (+ 1 x)))) (cbrt (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (sqrt (/ (- 1 x) (+ 1 x)))) (* (/ (- 1 x) (+ 1 x)) (sqrt (/ (- 1 x) (+ 1 x)))) (fabs (cbrt (/ (- 1 x) (+ 1 x)))) (sqrt (cbrt (/ (- 1 x) (+ 1 x)))) (sqrt (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (sqrt (/ (- 1 x) (+ 1 x)))) (fabs (/ (cbrt (- 1 x)) (cbrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (cbrt (+ 1 x)))) (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))) (fabs (cbrt (- 1 x))) (sqrt (/ (cbrt (- 1 x)) (+ 1 x))) (fabs (cbrt (- 1 x))) (sqrt (/ (cbrt (- 1 x)) (+ 1 x))) (sqrt (/ (/ (sqrt (- 1 x)) (cbrt (+ 1 x))) (cbrt (+ 1 x)))) (sqrt (/ (sqrt (- 1 x)) (cbrt (+ 1 x)))) (sqrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) (sqrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) (sqrt (sqrt (- 1 x))) (sqrt (/ (sqrt (- 1 x)) (+ 1 x))) (sqrt (sqrt (- 1 x))) (sqrt (/ (sqrt (- 1 x)) (+ 1 x))) (fabs (/ 1 (cbrt (+ 1 x)))) (sqrt (/ (- 1 x) (cbrt (+ 1 x)))) (sqrt (/ 1 (sqrt (+ 1 x)))) (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) 1 (sqrt (/ (- 1 x) (+ 1 x))) 1 (sqrt (/ (- 1 x) (+ 1 x))) (sqrt (/ (/ (+ (sqrt x) 1) (cbrt (+ 1 x))) (cbrt (+ 1 x)))) (sqrt (/ (- 1 (sqrt x)) (cbrt (+ 1 x)))) (sqrt (/ (+ (sqrt x) 1) (sqrt (+ 1 x)))) (sqrt (/ (- 1 (sqrt x)) (sqrt (+ 1 x)))) (sqrt (+ (sqrt x) 1)) (sqrt (/ (- 1 (sqrt x)) (+ 1 x))) (sqrt (+ (sqrt x) 1)) (sqrt (/ (- 1 (sqrt x)) (+ 1 x))) (sqrt (/ (/ (+ (sqrt x) 1) (cbrt (+ 1 x))) (cbrt (+ 1 x)))) (sqrt (/ (- 1 (sqrt x)) (cbrt (+ 1 x)))) (sqrt (/ (+ (sqrt x) 1) (sqrt (+ 1 x)))) (sqrt (/ (- 1 (sqrt x)) (sqrt (+ 1 x)))) (sqrt (+ (sqrt x) 1)) (sqrt (/ (- 1 (sqrt x)) (+ 1 x))) (sqrt (+ (sqrt x) 1)) (sqrt (/ (- 1 (sqrt x)) (+ 1 x))) (fabs (/ 1 (cbrt (+ 1 x)))) (sqrt (/ (- 1 x) (cbrt (+ 1 x)))) (sqrt (/ 1 (sqrt (+ 1 x)))) (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) 1 (sqrt (/ (- 1 x) (+ 1 x))) 1 (sqrt (/ (- 1 x) (+ 1 x))) 1 (sqrt (/ (- 1 x) (+ 1 x))) (sqrt (- 1 x)) (sqrt (/ 1 (+ 1 x))) (sqrt (/ (- 1 x) (fma (* x x) x 1))) (sqrt (fma x (- x 1) 1)) (sqrt (/ (- 1 x) (- 1 (* x x)))) (sqrt (- 1 x)) (sqrt (- 1 x)) (sqrt (+ 1 x)) 1/2 (sqrt (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (sqrt (/ (- 1 x) (+ 1 x)))) (real->posit16 (sqrt (/ (- 1 x) (+ 1 x)))) (expm1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (log1p (atan (sqrt (/ (- 1 x) (+ 1 x))))) (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (real->posit16 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (fma -2 x (fma 2 (* x x) 1)) (- (/ 2 x) (+ (/ 2 (* x x)) 1)) (- (/ 2 x) (+ (/ 2 (* x x)) 1)) (- (fma (* x x) 1/2 1) x) (+ (/ (/ -1/2 (* x x)) (sqrt -1)) (+ (sqrt -1) (/ (/ 1 (sqrt -1)) x))) (+ (/ (/ -1/2 (* x x)) (sqrt -1)) (+ (sqrt -1) (/ (/ 1 (sqrt -1)) x))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2.777 * * * [progress]: adding candidates to table 3.215 * * [progress]: iteration 2 / 4 3.215 * * * [progress]: picking best candidate 3.221 * * * * [pick]: Picked # 3.221 * * * [progress]: localizing error 3.240 * * * [progress]: generating rewritten candidates 3.240 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 3.255 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 1) 3.262 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 3.280 * * * [progress]: generating series expansions 3.280 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 3.281 * [backup-simplify]: Simplify (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) into (sqrt (/ (- 1 x) (+ x 1))) 3.281 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1 x) (+ x 1))) in (x) around 0 3.281 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1 x) (+ x 1))) in x 3.281 * [taylor]: Taking taylor expansion of (/ (- 1 x) (+ x 1)) in x 3.281 * [taylor]: Taking taylor expansion of (- 1 x) in x 3.281 * [taylor]: Taking taylor expansion of 1 in x 3.281 * [backup-simplify]: Simplify 1 into 1 3.281 * [taylor]: Taking taylor expansion of x in x 3.281 * [backup-simplify]: Simplify 0 into 0 3.281 * [backup-simplify]: Simplify 1 into 1 3.281 * [taylor]: Taking taylor expansion of (+ x 1) in x 3.281 * [taylor]: Taking taylor expansion of x in x 3.281 * [backup-simplify]: Simplify 0 into 0 3.281 * [backup-simplify]: Simplify 1 into 1 3.281 * [taylor]: Taking taylor expansion of 1 in x 3.281 * [backup-simplify]: Simplify 1 into 1 3.282 * [backup-simplify]: Simplify (- 0) into 0 3.282 * [backup-simplify]: Simplify (+ 1 0) into 1 3.283 * [backup-simplify]: Simplify (+ 0 1) into 1 3.283 * [backup-simplify]: Simplify (/ 1 1) into 1 3.284 * [backup-simplify]: Simplify (sqrt 1) into 1 3.284 * [backup-simplify]: Simplify (- 1) into -1 3.285 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.285 * [backup-simplify]: Simplify (+ 1 0) into 1 3.286 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 3.287 * [backup-simplify]: Simplify (/ -2 (* 2 (sqrt 1))) into -1 3.287 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1 x) (+ x 1))) in x 3.287 * [taylor]: Taking taylor expansion of (/ (- 1 x) (+ x 1)) in x 3.287 * [taylor]: Taking taylor expansion of (- 1 x) in x 3.287 * [taylor]: Taking taylor expansion of 1 in x 3.287 * [backup-simplify]: Simplify 1 into 1 3.287 * [taylor]: Taking taylor expansion of x in x 3.287 * [backup-simplify]: Simplify 0 into 0 3.287 * [backup-simplify]: Simplify 1 into 1 3.287 * [taylor]: Taking taylor expansion of (+ x 1) in x 3.287 * [taylor]: Taking taylor expansion of x in x 3.287 * [backup-simplify]: Simplify 0 into 0 3.287 * [backup-simplify]: Simplify 1 into 1 3.287 * [taylor]: Taking taylor expansion of 1 in x 3.287 * [backup-simplify]: Simplify 1 into 1 3.287 * [backup-simplify]: Simplify (- 0) into 0 3.288 * [backup-simplify]: Simplify (+ 1 0) into 1 3.288 * [backup-simplify]: Simplify (+ 0 1) into 1 3.289 * [backup-simplify]: Simplify (/ 1 1) into 1 3.289 * [backup-simplify]: Simplify (sqrt 1) into 1 3.289 * [backup-simplify]: Simplify (- 1) into -1 3.290 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.290 * [backup-simplify]: Simplify (+ 1 0) into 1 3.291 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 3.292 * [backup-simplify]: Simplify (/ -2 (* 2 (sqrt 1))) into -1 3.292 * [backup-simplify]: Simplify 1 into 1 3.292 * [backup-simplify]: Simplify -1 into -1 3.293 * [backup-simplify]: Simplify (- 0) into 0 3.293 * [backup-simplify]: Simplify (+ 0 0) into 0 3.293 * [backup-simplify]: Simplify (+ 0 0) into 0 3.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -2 (/ 1 1)))) into 2 3.295 * [backup-simplify]: Simplify (/ (- 2 (pow -1 2) (+)) (* 2 1)) into 1/2 3.296 * [backup-simplify]: Simplify 1/2 into 1/2 3.296 * [backup-simplify]: Simplify (+ (* 1/2 (pow x 2)) (+ (* -1 x) 1)) into (- (+ (* 1/2 (pow x 2)) 1) x) 3.296 * [backup-simplify]: Simplify (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x)))) into (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))) 3.296 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))) in (x) around 0 3.296 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))) in x 3.296 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)) in x 3.296 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 3.296 * [taylor]: Taking taylor expansion of 1 in x 3.296 * [backup-simplify]: Simplify 1 into 1 3.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.296 * [taylor]: Taking taylor expansion of x in x 3.296 * [backup-simplify]: Simplify 0 into 0 3.296 * [backup-simplify]: Simplify 1 into 1 3.297 * [backup-simplify]: Simplify (/ 1 1) into 1 3.297 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 3.297 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.297 * [taylor]: Taking taylor expansion of x in x 3.297 * [backup-simplify]: Simplify 0 into 0 3.297 * [backup-simplify]: Simplify 1 into 1 3.297 * [backup-simplify]: Simplify (/ 1 1) into 1 3.297 * [taylor]: Taking taylor expansion of 1 in x 3.297 * [backup-simplify]: Simplify 1 into 1 3.298 * [backup-simplify]: Simplify (- 1) into -1 3.298 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.299 * [backup-simplify]: Simplify (+ 1 0) into 1 3.299 * [backup-simplify]: Simplify (/ -1 1) into -1 3.299 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.300 * [backup-simplify]: Simplify (- 0) into 0 3.301 * [backup-simplify]: Simplify (+ 1 0) into 1 3.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.302 * [backup-simplify]: Simplify (+ 0 1) into 1 3.303 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 3.305 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt -1))) into (/ 1 (sqrt -1)) 3.305 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))) in x 3.305 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)) in x 3.305 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 3.305 * [taylor]: Taking taylor expansion of 1 in x 3.305 * [backup-simplify]: Simplify 1 into 1 3.305 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.305 * [taylor]: Taking taylor expansion of x in x 3.305 * [backup-simplify]: Simplify 0 into 0 3.305 * [backup-simplify]: Simplify 1 into 1 3.305 * [backup-simplify]: Simplify (/ 1 1) into 1 3.305 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 3.305 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.305 * [taylor]: Taking taylor expansion of x in x 3.305 * [backup-simplify]: Simplify 0 into 0 3.306 * [backup-simplify]: Simplify 1 into 1 3.306 * [backup-simplify]: Simplify (/ 1 1) into 1 3.306 * [taylor]: Taking taylor expansion of 1 in x 3.306 * [backup-simplify]: Simplify 1 into 1 3.306 * [backup-simplify]: Simplify (- 1) into -1 3.307 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.307 * [backup-simplify]: Simplify (+ 1 0) into 1 3.308 * [backup-simplify]: Simplify (/ -1 1) into -1 3.308 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.309 * [backup-simplify]: Simplify (- 0) into 0 3.310 * [backup-simplify]: Simplify (+ 1 0) into 1 3.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.311 * [backup-simplify]: Simplify (+ 0 1) into 1 3.312 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 3.313 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt -1))) into (/ 1 (sqrt -1)) 3.314 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.315 * [backup-simplify]: Simplify (/ 1 (sqrt -1)) into (/ 1 (sqrt -1)) 3.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.316 * [backup-simplify]: Simplify (- 0) into 0 3.317 * [backup-simplify]: Simplify (+ 0 0) into 0 3.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.318 * [backup-simplify]: Simplify (+ 0 0) into 0 3.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 1 1)))) into -2 3.327 * [backup-simplify]: Simplify (/ (- -2 (pow (/ 1 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (/ -1/2 (sqrt -1)) 3.328 * [backup-simplify]: Simplify (/ -1/2 (sqrt -1)) into (/ -1/2 (sqrt -1)) 3.330 * [backup-simplify]: Simplify (+ (* (/ -1/2 (sqrt -1)) (pow (/ 1 x) 2)) (+ (* (/ 1 (sqrt -1)) (/ 1 x)) (sqrt -1))) into (- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) 3.331 * [backup-simplify]: Simplify (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x))))) into (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))) 3.331 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))) in (x) around 0 3.331 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))) in x 3.331 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))) in x 3.331 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 3.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.331 * [taylor]: Taking taylor expansion of x in x 3.331 * [backup-simplify]: Simplify 0 into 0 3.331 * [backup-simplify]: Simplify 1 into 1 3.331 * [backup-simplify]: Simplify (/ 1 1) into 1 3.331 * [taylor]: Taking taylor expansion of 1 in x 3.331 * [backup-simplify]: Simplify 1 into 1 3.331 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 3.331 * [taylor]: Taking taylor expansion of 1 in x 3.331 * [backup-simplify]: Simplify 1 into 1 3.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.331 * [taylor]: Taking taylor expansion of x in x 3.331 * [backup-simplify]: Simplify 0 into 0 3.331 * [backup-simplify]: Simplify 1 into 1 3.332 * [backup-simplify]: Simplify (/ 1 1) into 1 3.332 * [backup-simplify]: Simplify (+ 1 0) into 1 3.333 * [backup-simplify]: Simplify (- 1) into -1 3.333 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.333 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.334 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.335 * [backup-simplify]: Simplify (+ 0 1) into 1 3.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.335 * [backup-simplify]: Simplify (- 0) into 0 3.336 * [backup-simplify]: Simplify (+ 1 0) into 1 3.336 * [backup-simplify]: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 3.337 * [backup-simplify]: Simplify (/ -2 (* 2 (sqrt -1))) into (/ -1 (sqrt -1)) 3.337 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))) in x 3.337 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))) in x 3.337 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 3.337 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.337 * [taylor]: Taking taylor expansion of x in x 3.337 * [backup-simplify]: Simplify 0 into 0 3.337 * [backup-simplify]: Simplify 1 into 1 3.338 * [backup-simplify]: Simplify (/ 1 1) into 1 3.338 * [taylor]: Taking taylor expansion of 1 in x 3.338 * [backup-simplify]: Simplify 1 into 1 3.338 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 3.338 * [taylor]: Taking taylor expansion of 1 in x 3.338 * [backup-simplify]: Simplify 1 into 1 3.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.338 * [taylor]: Taking taylor expansion of x in x 3.338 * [backup-simplify]: Simplify 0 into 0 3.338 * [backup-simplify]: Simplify 1 into 1 3.338 * [backup-simplify]: Simplify (/ 1 1) into 1 3.338 * [backup-simplify]: Simplify (+ 1 0) into 1 3.338 * [backup-simplify]: Simplify (- 1) into -1 3.339 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.339 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.339 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.340 * [backup-simplify]: Simplify (+ 0 1) into 1 3.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.341 * [backup-simplify]: Simplify (- 0) into 0 3.341 * [backup-simplify]: Simplify (+ 1 0) into 1 3.341 * [backup-simplify]: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 3.342 * [backup-simplify]: Simplify (/ -2 (* 2 (sqrt -1))) into (/ -1 (sqrt -1)) 3.343 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.343 * [backup-simplify]: Simplify (/ -1 (sqrt -1)) into (/ -1 (sqrt -1)) 3.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.344 * [backup-simplify]: Simplify (+ 0 0) into 0 3.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.345 * [backup-simplify]: Simplify (- 0) into 0 3.345 * [backup-simplify]: Simplify (+ 0 0) into 0 3.346 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2 3.347 * [backup-simplify]: Simplify (/ (- -2 (pow (/ -1 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (/ -1/2 (sqrt -1)) 3.348 * [backup-simplify]: Simplify (/ -1/2 (sqrt -1)) into (/ -1/2 (sqrt -1)) 3.349 * [backup-simplify]: Simplify (+ (* (/ -1/2 (sqrt -1)) (pow (/ 1 (- x)) 2)) (+ (* (/ -1 (sqrt -1)) (/ 1 (- x))) (sqrt -1))) into (- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) 3.350 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 1) 3.350 * [backup-simplify]: Simplify (sqrt (- 1 x)) into (sqrt (- 1 x)) 3.350 * [approximate]: Taking taylor expansion of (sqrt (- 1 x)) in (x) around 0 3.350 * [taylor]: Taking taylor expansion of (sqrt (- 1 x)) in x 3.350 * [taylor]: Taking taylor expansion of (- 1 x) in x 3.350 * [taylor]: Taking taylor expansion of 1 in x 3.350 * [backup-simplify]: Simplify 1 into 1 3.350 * [taylor]: Taking taylor expansion of x in x 3.350 * [backup-simplify]: Simplify 0 into 0 3.350 * [backup-simplify]: Simplify 1 into 1 3.350 * [backup-simplify]: Simplify (- 0) into 0 3.350 * [backup-simplify]: Simplify (+ 1 0) into 1 3.350 * [backup-simplify]: Simplify (sqrt 1) into 1 3.351 * [backup-simplify]: Simplify (- 1) into -1 3.351 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.351 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 3.351 * [taylor]: Taking taylor expansion of (sqrt (- 1 x)) in x 3.352 * [taylor]: Taking taylor expansion of (- 1 x) in x 3.352 * [taylor]: Taking taylor expansion of 1 in x 3.352 * [backup-simplify]: Simplify 1 into 1 3.352 * [taylor]: Taking taylor expansion of x in x 3.352 * [backup-simplify]: Simplify 0 into 0 3.352 * [backup-simplify]: Simplify 1 into 1 3.352 * [backup-simplify]: Simplify (- 0) into 0 3.352 * [backup-simplify]: Simplify (+ 1 0) into 1 3.352 * [backup-simplify]: Simplify (sqrt 1) into 1 3.353 * [backup-simplify]: Simplify (- 1) into -1 3.353 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.353 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 3.353 * [backup-simplify]: Simplify 1 into 1 3.353 * [backup-simplify]: Simplify -1/2 into -1/2 3.354 * [backup-simplify]: Simplify (- 0) into 0 3.354 * [backup-simplify]: Simplify (+ 0 0) into 0 3.355 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 3.355 * [backup-simplify]: Simplify -1/8 into -1/8 3.355 * [backup-simplify]: Simplify (+ (* -1/8 (pow x 2)) (+ (* -1/2 x) 1)) into (- 1 (+ (* 1/2 x) (* 1/8 (pow x 2)))) 3.355 * [backup-simplify]: Simplify (sqrt (- 1 (/ 1 x))) into (sqrt (- 1 (/ 1 x))) 3.355 * [approximate]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in (x) around 0 3.355 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 3.355 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 3.355 * [taylor]: Taking taylor expansion of 1 in x 3.355 * [backup-simplify]: Simplify 1 into 1 3.355 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.355 * [taylor]: Taking taylor expansion of x in x 3.355 * [backup-simplify]: Simplify 0 into 0 3.355 * [backup-simplify]: Simplify 1 into 1 3.355 * [backup-simplify]: Simplify (/ 1 1) into 1 3.355 * [backup-simplify]: Simplify (- 1) into -1 3.356 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.356 * [backup-simplify]: Simplify (sqrt 0) into 0 3.357 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.357 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 3.357 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 3.357 * [taylor]: Taking taylor expansion of 1 in x 3.357 * [backup-simplify]: Simplify 1 into 1 3.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.357 * [taylor]: Taking taylor expansion of x in x 3.357 * [backup-simplify]: Simplify 0 into 0 3.357 * [backup-simplify]: Simplify 1 into 1 3.357 * [backup-simplify]: Simplify (/ 1 1) into 1 3.358 * [backup-simplify]: Simplify (- 1) into -1 3.358 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.358 * [backup-simplify]: Simplify (sqrt 0) into 0 3.359 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.359 * [backup-simplify]: Simplify 0 into 0 3.359 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.360 * [backup-simplify]: Simplify (- 0) into 0 3.360 * [backup-simplify]: Simplify (+ 1 0) into 1 3.362 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.362 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.363 * [backup-simplify]: Simplify (- 0) into 0 3.363 * [backup-simplify]: Simplify (+ 0 0) into 0 3.366 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.366 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.366 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 x) 2)) (+ (* +nan.0 (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 3.366 * [backup-simplify]: Simplify (sqrt (- 1 (/ 1 (- x)))) into (sqrt (+ (/ 1 x) 1)) 3.366 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in (x) around 0 3.366 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x 3.366 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 3.366 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.366 * [taylor]: Taking taylor expansion of x in x 3.366 * [backup-simplify]: Simplify 0 into 0 3.366 * [backup-simplify]: Simplify 1 into 1 3.366 * [backup-simplify]: Simplify (/ 1 1) into 1 3.366 * [taylor]: Taking taylor expansion of 1 in x 3.366 * [backup-simplify]: Simplify 1 into 1 3.367 * [backup-simplify]: Simplify (+ 1 0) into 1 3.367 * [backup-simplify]: Simplify (sqrt 0) into 0 3.369 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.369 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x 3.369 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 3.369 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.369 * [taylor]: Taking taylor expansion of x in x 3.369 * [backup-simplify]: Simplify 0 into 0 3.369 * [backup-simplify]: Simplify 1 into 1 3.369 * [backup-simplify]: Simplify (/ 1 1) into 1 3.369 * [taylor]: Taking taylor expansion of 1 in x 3.369 * [backup-simplify]: Simplify 1 into 1 3.370 * [backup-simplify]: Simplify (+ 1 0) into 1 3.370 * [backup-simplify]: Simplify (sqrt 0) into 0 3.371 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.371 * [backup-simplify]: Simplify 0 into 0 3.371 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.373 * [backup-simplify]: Simplify (+ 0 1) into 1 3.376 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.376 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.377 * [backup-simplify]: Simplify (+ 0 0) into 0 3.381 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.381 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.381 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- x)) 2)) (+ (* +nan.0 (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 3.381 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 3.382 * [backup-simplify]: Simplify (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) 3.382 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ x 1)))) in (x) around 0 3.382 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ x 1)))) in x 3.382 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 x) (+ x 1)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) 3.382 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ x 1)))) in x 3.382 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 x) (+ x 1)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) 3.382 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 x) (+ x 1)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) 3.382 * [backup-simplify]: Simplify 0 into 0 3.382 * [backup-simplify]: Simplify 0 into 0 3.382 * [backup-simplify]: Simplify 0 into 0 3.382 * [backup-simplify]: Simplify 0 into 0 3.382 * [backup-simplify]: Simplify 0 into 0 3.382 * [backup-simplify]: Simplify 0 into 0 3.383 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 x) (+ x 1)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) 3.383 * [backup-simplify]: Simplify (atan (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3.383 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) in (x) around 0 3.383 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) in x 3.383 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3.383 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) in x 3.383 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3.383 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3.383 * [backup-simplify]: Simplify 0 into 0 3.383 * [backup-simplify]: Simplify 0 into 0 3.384 * [backup-simplify]: Simplify 0 into 0 3.384 * [backup-simplify]: Simplify 0 into 0 3.384 * [backup-simplify]: Simplify 0 into 0 3.384 * [backup-simplify]: Simplify 0 into 0 3.384 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 (/ 1 (/ 1 x))) (+ (/ 1 (/ 1 x)) 1)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) 3.384 * [backup-simplify]: Simplify (atan (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x)))))) into (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3.384 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) in (x) around 0 3.384 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) in x 3.384 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3.384 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) in x 3.384 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3.385 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3.385 * [backup-simplify]: Simplify 0 into 0 3.385 * [backup-simplify]: Simplify 0 into 0 3.385 * [backup-simplify]: Simplify 0 into 0 3.385 * [backup-simplify]: Simplify 0 into 0 3.385 * [backup-simplify]: Simplify 0 into 0 3.385 * [backup-simplify]: Simplify 0 into 0 3.385 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 (/ 1 (- x))) 1) (- 1 (/ 1 (/ 1 (- x))))))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) 3.385 * * * [progress]: simplifying candidates 3.385 * * * * [progress]: [ 1 / 139 ] simplifiying candidate # 3.385 * * * * [progress]: [ 2 / 139 ] simplifiying candidate # 3.385 * * * * [progress]: [ 3 / 139 ] simplifiying candidate # 3.386 * * * * [progress]: [ 4 / 139 ] simplifiying candidate # 3.386 * * * * [progress]: [ 5 / 139 ] simplifiying candidate # 3.386 * * * * [progress]: [ 6 / 139 ] simplifiying candidate # 3.386 * * * * [progress]: [ 7 / 139 ] simplifiying candidate # 3.386 * * * * [progress]: [ 8 / 139 ] simplifiying candidate # 3.386 * * * * [progress]: [ 9 / 139 ] simplifiying candidate # 3.386 * * * * [progress]: [ 10 / 139 ] simplifiying candidate # 3.386 * * * * [progress]: [ 11 / 139 ] simplifiying candidate # 3.386 * * * * [progress]: [ 12 / 139 ] simplifiying candidate # 3.386 * * * * [progress]: [ 13 / 139 ] simplifiying candidate # 3.386 * * * * [progress]: [ 14 / 139 ] simplifiying candidate # 3.386 * * * * 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candidate # 3.387 * * * * [progress]: [ 31 / 139 ] simplifiying candidate # 3.387 * * * * [progress]: [ 32 / 139 ] simplifiying candidate # 3.387 * * * * [progress]: [ 33 / 139 ] simplifiying candidate # 3.387 * * * * [progress]: [ 34 / 139 ] simplifiying candidate # 3.387 * * * * [progress]: [ 35 / 139 ] simplifiying candidate # 3.387 * * * * [progress]: [ 36 / 139 ] simplifiying candidate # 3.387 * * * * [progress]: [ 37 / 139 ] simplifiying candidate # 3.387 * * * * [progress]: [ 38 / 139 ] simplifiying candidate # 3.387 * * * * [progress]: [ 39 / 139 ] simplifiying candidate # 3.387 * * * * [progress]: [ 40 / 139 ] simplifiying candidate # 3.387 * * * * [progress]: [ 41 / 139 ] simplifiying candidate # 3.387 * * * * [progress]: [ 42 / 139 ] simplifiying candidate # 3.387 * * * * [progress]: [ 43 / 139 ] simplifiying candidate # 3.387 * * * * [progress]: [ 44 / 139 ] simplifiying candidate # 3.387 * * * * [progress]: [ 45 / 139 ] simplifiying candidate # 3.387 * * * * [progress]: [ 46 / 139 ] simplifiying candidate # 3.388 * * * * [progress]: [ 47 / 139 ] simplifiying candidate # 3.388 * * * * [progress]: [ 48 / 139 ] simplifiying candidate # 3.388 * * * * [progress]: [ 49 / 139 ] simplifiying candidate # 3.388 * * * * [progress]: [ 50 / 139 ] simplifiying candidate # 3.388 * * * * [progress]: [ 51 / 139 ] simplifiying candidate # 3.388 * * * * [progress]: [ 52 / 139 ] simplifiying candidate # 3.388 * * * * [progress]: [ 53 / 139 ] simplifiying candidate # 3.388 * * * * [progress]: [ 54 / 139 ] simplifiying candidate # 3.388 * * * * [progress]: [ 55 / 139 ] simplifiying candidate # 3.388 * * * * [progress]: [ 56 / 139 ] simplifiying candidate # 3.388 * * * * [progress]: [ 57 / 139 ] simplifiying candidate # 3.388 * * * * [progress]: [ 58 / 139 ] simplifiying candidate # 3.388 * * * * [progress]: [ 59 / 139 ] simplifiying candidate # 3.388 * * * * [progress]: [ 60 / 139 ] simplifiying candidate # 3.388 * * * * [progress]: [ 61 / 139 ] simplifiying candidate # 3.388 * * * * [progress]: [ 62 / 139 ] simplifiying candidate # 3.388 * * * * [progress]: [ 63 / 139 ] simplifiying candidate # 3.388 * * * * [progress]: [ 64 / 139 ] simplifiying candidate # 3.388 * * * * [progress]: [ 65 / 139 ] simplifiying candidate # 3.388 * * * * [progress]: [ 66 / 139 ] simplifiying candidate # 3.388 * * * * [progress]: [ 67 / 139 ] simplifiying candidate # 3.388 * * * * [progress]: [ 68 / 139 ] simplifiying candidate # 3.388 * * * * [progress]: [ 69 / 139 ] simplifiying candidate # 3.388 * * * * [progress]: [ 70 / 139 ] simplifiying candidate # 3.388 * * * * [progress]: [ 71 / 139 ] simplifiying candidate # 3.389 * * * * [progress]: [ 72 / 139 ] simplifiying candidate # 3.389 * * * * [progress]: [ 73 / 139 ] simplifiying candidate # 3.389 * * * * [progress]: [ 74 / 139 ] simplifiying candidate # 3.389 * * * * [progress]: [ 75 / 139 ] simplifiying candidate # 3.389 * * * * [progress]: [ 76 / 139 ] simplifiying candidate # 3.389 * * * * [progress]: [ 77 / 139 ] 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[progress]: [ 93 / 139 ] simplifiying candidate # 3.389 * * * * [progress]: [ 94 / 139 ] simplifiying candidate # 3.389 * * * * [progress]: [ 95 / 139 ] simplifiying candidate # 3.389 * * * * [progress]: [ 96 / 139 ] simplifiying candidate # 3.389 * * * * [progress]: [ 97 / 139 ] simplifiying candidate # 3.390 * * * * [progress]: [ 98 / 139 ] simplifiying candidate # 3.390 * * * * [progress]: [ 99 / 139 ] simplifiying candidate #real (real->posit16 (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))> 3.390 * * * * [progress]: [ 100 / 139 ] simplifiying candidate # 3.390 * * * * [progress]: [ 101 / 139 ] simplifiying candidate # 3.390 * * * * [progress]: [ 102 / 139 ] simplifiying candidate # 3.390 * * * * [progress]: [ 103 / 139 ] simplifiying candidate # 3.390 * * * * [progress]: [ 104 / 139 ] simplifiying candidate # 3.390 * * * * [progress]: [ 105 / 139 ] simplifiying candidate # 3.390 * * * * [progress]: [ 106 / 139 ] simplifiying candidate # 3.390 * * * * [progress]: [ 107 / 139 ] simplifiying candidate # 3.390 * * * * [progress]: [ 108 / 139 ] simplifiying candidate # 3.390 * * * * [progress]: [ 109 / 139 ] simplifiying candidate # 3.390 * * * * [progress]: [ 110 / 139 ] simplifiying candidate # 3.390 * * * * [progress]: [ 111 / 139 ] simplifiying candidate # 3.390 * * * * [progress]: [ 112 / 139 ] simplifiying candidate # 3.390 * * * * [progress]: [ 113 / 139 ] simplifiying candidate # 3.390 * * * * [progress]: [ 114 / 139 ] simplifiying candidate # 3.390 * * * * [progress]: [ 115 / 139 ] simplifiying candidate # 3.390 * * * * [progress]: [ 116 / 139 ] simplifiying candidate # 3.390 * * * * [progress]: [ 117 / 139 ] simplifiying candidate # 3.390 * * * * [progress]: [ 118 / 139 ] simplifiying candidate # 3.390 * * * * [progress]: [ 119 / 139 ] simplifiying candidate # 3.390 * * * * [progress]: [ 120 / 139 ] simplifiying candidate #real (real->posit16 (sqrt (- 1 x)))) (sqrt (+ 1 x))))))> 3.390 * * * * [progress]: [ 121 / 139 ] simplifiying candidate # 3.390 * * * * [progress]: [ 122 / 139 ] simplifiying candidate # 3.390 * * * * [progress]: [ 123 / 139 ] simplifiying candidate # 3.391 * * * * [progress]: [ 124 / 139 ] simplifiying candidate # 3.391 * * * * [progress]: [ 125 / 139 ] simplifiying candidate # 3.391 * * * * [progress]: [ 126 / 139 ] simplifiying candidate # 3.391 * * * * [progress]: [ 127 / 139 ] simplifiying candidate # 3.391 * * * * [progress]: [ 128 / 139 ] simplifiying candidate # 3.391 * * * * [progress]: [ 129 / 139 ] simplifiying candidate # 3.391 * * * * [progress]: [ 130 / 139 ] simplifiying candidate #real (real->posit16 (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))> 3.391 * * * * [progress]: [ 131 / 139 ] simplifiying candidate # 3.391 * * * * [progress]: [ 132 / 139 ] simplifiying candidate # 3.391 * * * * [progress]: [ 133 / 139 ] simplifiying candidate # 3.391 * * * * [progress]: [ 134 / 139 ] simplifiying candidate # 3.391 * * * * [progress]: [ 135 / 139 ] simplifiying candidate # 3.391 * * * * [progress]: [ 136 / 139 ] simplifiying candidate # 3.391 * * * * [progress]: [ 137 / 139 ] simplifiying candidate # 3.391 * * * * [progress]: [ 138 / 139 ] simplifiying candidate # 3.391 * * * * [progress]: [ 139 / 139 ] simplifiying candidate # 3.392 * [simplify]: Simplifying: (expm1 (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) (log1p (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) (- (log (sqrt (- 1 x))) (log (sqrt (+ 1 x)))) (log (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) (exp (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) (/ (* (* (sqrt (- 1 x)) (sqrt (- 1 x))) (sqrt (- 1 x))) (* (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x)))) (* (cbrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) (cbrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))) (cbrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) (/ (- 1 x) (+ 1 x)) (sqrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) (sqrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) (- (sqrt (- 1 x))) (- (sqrt (+ 1 x))) (/ (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (/ (cbrt (sqrt (- 1 x))) (cbrt (sqrt (+ 1 x)))) (/ (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (cbrt (sqrt (- 1 x))) (sqrt (cbrt (+ 1 x)))) (/ (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) (sqrt (sqrt (+ 1 x)))) (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (/ (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) (sqrt 1)) (/ (cbrt (sqrt (- 1 x))) (sqrt (+ 1 x))) (/ (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) (sqrt 1)) (/ (cbrt (sqrt (- 1 x))) (sqrt (+ 1 x))) (/ (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) (sqrt (sqrt (+ 1 x)))) (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (/ (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) 1) (/ (cbrt (sqrt (- 1 x))) (sqrt (+ 1 x))) (/ (sqrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (/ (sqrt (cbrt (- 1 x))) (cbrt (sqrt (+ 1 x)))) (/ (sqrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (sqrt (cbrt (- 1 x))) (sqrt (cbrt (+ 1 x)))) (/ (sqrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (sqrt 1)) (/ (sqrt (cbrt (- 1 x))) (sqrt (+ 1 x))) (/ (sqrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (sqrt 1)) (/ (sqrt (cbrt (- 1 x))) (sqrt (+ 1 x))) (/ (sqrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) 1) (/ (sqrt (cbrt (- 1 x))) (sqrt (+ 1 x))) (/ (sqrt (sqrt (- 1 x))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (/ (sqrt (sqrt (- 1 x))) (cbrt (sqrt (+ 1 x)))) (/ (sqrt (sqrt (- 1 x))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (sqrt (sqrt (- 1 x))) (sqrt (cbrt (+ 1 x)))) (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (sqrt (- 1 x))) (sqrt 1)) (/ (sqrt (sqrt (- 1 x))) (sqrt (+ 1 x))) (/ (sqrt (sqrt (- 1 x))) (sqrt 1)) (/ (sqrt (sqrt (- 1 x))) (sqrt (+ 1 x))) (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (sqrt (- 1 x))) 1) (/ (sqrt (sqrt (- 1 x))) (sqrt (+ 1 x))) (/ (sqrt 1) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (/ (sqrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) (/ (sqrt 1) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (sqrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) (/ (sqrt 1) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt 1) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (/ (sqrt 1) 1) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (+ (sqrt 1) (sqrt x))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (/ (sqrt (- (sqrt 1) (sqrt x))) (cbrt (sqrt (+ 1 x)))) (/ (sqrt (+ (sqrt 1) (sqrt x))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (sqrt (- (sqrt 1) (sqrt x))) (sqrt (cbrt (+ 1 x)))) (/ (sqrt 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(/ (sqrt (sqrt (- 1 x))) (sqrt (+ 1 x))) (/ (sqrt (sqrt (- 1 x))) (sqrt 1)) (/ (sqrt (sqrt (- 1 x))) (sqrt (+ 1 x))) (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (sqrt (- 1 x))) 1) (/ (sqrt (sqrt (- 1 x))) (sqrt (+ 1 x))) (/ 1 (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (/ (sqrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) (/ 1 (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (sqrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) (/ 1 (sqrt (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (/ 1 (sqrt 1)) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ 1 (sqrt 1)) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ 1 (sqrt (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (/ 1 1) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ 1 (sqrt (+ 1 x))) (/ (sqrt (+ 1 x)) (sqrt (- 1 x))) (/ (sqrt (- 1 x)) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (/ (sqrt (- 1 x)) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt 1)) (/ 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(sqrt 1) (sqrt (- 1 x)) (sqrt (+ (sqrt 1) (sqrt x))) (sqrt (- (sqrt 1) (sqrt x))) (sqrt (+ 1 (sqrt x))) (sqrt (- 1 (sqrt x))) (sqrt 1) (sqrt (- 1 x)) (sqrt (- (pow 1 3) (pow x 3))) (sqrt (+ (* 1 1) (+ (* x x) (* 1 x)))) (sqrt (- (* 1 1) (* x x))) (sqrt (+ 1 x)) (/ 1 2) (sqrt (sqrt (- 1 x))) (sqrt (sqrt (- 1 x))) (real->posit16 (sqrt (- 1 x))) (expm1 (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))) (log1p (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))) (log (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))) (exp (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))) (* (cbrt (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))) (cbrt (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))) (cbrt (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))) (* (* (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))) (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))) (sqrt (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))) (sqrt (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))) (real->posit16 (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))) (- (+ (* 1/2 (pow x 2)) 1) x) (- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) (- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) (- 1 (+ (* 1/2 x) (* 1/8 (pow x 2)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1)))) 3.394 * * [simplify]: iteration 0: 188 enodes 3.446 * * [simplify]: iteration 1: 330 enodes 3.582 * * [simplify]: iteration 2: 606 enodes 3.791 * * [simplify]: iteration 3: 1383 enodes 4.720 * * [simplify]: iteration 4: 3485 enodes 6.308 * * [simplify]: iteration complete: 5001 enodes 6.308 * * [simplify]: Extracting #0: cost 92 inf + 0 6.310 * * [simplify]: Extracting #1: cost 334 inf + 2 6.318 * * [simplify]: Extracting #2: cost 690 inf + 4343 6.337 * * [simplify]: Extracting #3: cost 414 inf + 36360 6.382 * * [simplify]: Extracting #4: cost 99 inf + 100132 6.415 * * [simplify]: Extracting #5: cost 68 inf + 116561 6.472 * * [simplify]: Extracting #6: cost 72 inf + 121533 6.508 * * [simplify]: Extracting #7: cost 17 inf + 133051 6.560 * * [simplify]: Extracting #8: cost 0 inf + 137602 6.601 * [simplify]: Simplified to: (expm1 (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (log1p (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (log (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (log (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (exp (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (/ (sqrt (+ x 1)) (/ (- 1 x) (+ x 1)))) (* (cbrt (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (cbrt (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) (cbrt (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (/ (sqrt (+ x 1)) (/ (- 1 x) (+ x 1)))) (/ (- 1 x) (+ x 1)) (sqrt (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (sqrt (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (- (sqrt (- 1 x))) (- (sqrt (+ x 1))) (* (/ (cbrt (sqrt (- 1 x))) (cbrt (sqrt (+ x 1)))) (/ (cbrt (sqrt (- 1 x))) (cbrt (sqrt (+ x 1))))) (/ (cbrt (sqrt (- 1 x))) (cbrt (sqrt (+ 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(sqrt x) 1)) (sqrt (- 1 (sqrt x))) (sqrt (+ (sqrt x) 1)) (sqrt (- 1 (sqrt x))) 1 (sqrt (- 1 x)) (sqrt (- 1 (* x (* x x)))) (hypot x (sqrt (+ x 1))) (sqrt (- 1 (* x x))) (sqrt (+ x 1)) 1/2 (sqrt (sqrt (- 1 x))) (sqrt (sqrt (- 1 x))) (real->posit16 (sqrt (- 1 x))) (expm1 (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) (log1p (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) (log (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) (exp (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) (* (cbrt (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) (cbrt (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))))) (cbrt (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) (* (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (* (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))))) (sqrt (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) (sqrt (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) (real->posit16 (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) (fma (* x x) 1/2 (- 1 x)) (- (/ (/ 1 x) (sqrt -1)) (- (/ (/ (/ 1/2 x) x) (sqrt -1)) (sqrt -1))) (- (/ (/ 1 x) (sqrt -1)) (- (/ (/ (/ 1/2 x) x) (sqrt -1)) (sqrt -1))) (- 1 (* x (fma 1/8 x 1/2))) (- (/ +nan.0 x) (+ +nan.0 (/ +nan.0 (* x x)))) (- (/ +nan.0 x) (+ +nan.0 (/ +nan.0 (* x x)))) (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1)))) 6.623 * * * [progress]: adding candidates to table 7.192 * * [progress]: iteration 3 / 4 7.192 * * * [progress]: picking best candidate 7.195 * * * * [pick]: Picked # 7.195 * * * [progress]: localizing error 7.219 * * * [progress]: generating rewritten candidates 7.219 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 7.282 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1) 7.388 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1) 7.463 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 7.484 * * * [progress]: generating series expansions 7.484 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 7.484 * [backup-simplify]: Simplify (cbrt (* (* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x)))) into (/ (- 1 x) (+ x 1)) 7.484 * [approximate]: Taking taylor expansion of (/ (- 1 x) (+ x 1)) in (x) around 0 7.484 * [taylor]: Taking taylor expansion of (/ (- 1 x) (+ x 1)) in x 7.484 * [taylor]: Taking taylor expansion of (- 1 x) in x 7.484 * [taylor]: Taking taylor expansion of 1 in x 7.485 * [backup-simplify]: Simplify 1 into 1 7.485 * [taylor]: Taking taylor expansion of x in x 7.485 * [backup-simplify]: Simplify 0 into 0 7.485 * [backup-simplify]: Simplify 1 into 1 7.485 * [taylor]: Taking taylor expansion of (+ x 1) in x 7.485 * [taylor]: Taking taylor expansion of x in x 7.485 * [backup-simplify]: Simplify 0 into 0 7.485 * [backup-simplify]: Simplify 1 into 1 7.485 * [taylor]: Taking taylor expansion of 1 in x 7.485 * [backup-simplify]: Simplify 1 into 1 7.485 * [backup-simplify]: Simplify (- 0) into 0 7.486 * [backup-simplify]: Simplify (+ 1 0) into 1 7.486 * [backup-simplify]: Simplify (+ 0 1) into 1 7.487 * [backup-simplify]: Simplify (/ 1 1) into 1 7.487 * [taylor]: Taking taylor expansion of (/ (- 1 x) (+ x 1)) in x 7.487 * [taylor]: Taking taylor expansion of (- 1 x) in x 7.487 * [taylor]: Taking taylor expansion of 1 in x 7.487 * [backup-simplify]: Simplify 1 into 1 7.487 * [taylor]: Taking taylor expansion of x in x 7.487 * [backup-simplify]: Simplify 0 into 0 7.487 * [backup-simplify]: Simplify 1 into 1 7.487 * [taylor]: Taking taylor expansion of (+ x 1) in x 7.487 * [taylor]: Taking taylor expansion of x in x 7.487 * [backup-simplify]: Simplify 0 into 0 7.487 * [backup-simplify]: Simplify 1 into 1 7.487 * [taylor]: Taking taylor expansion of 1 in x 7.487 * [backup-simplify]: Simplify 1 into 1 7.487 * [backup-simplify]: Simplify (- 0) into 0 7.488 * [backup-simplify]: Simplify (+ 1 0) into 1 7.488 * [backup-simplify]: Simplify (+ 0 1) into 1 7.489 * [backup-simplify]: Simplify (/ 1 1) into 1 7.489 * [backup-simplify]: Simplify 1 into 1 7.489 * [backup-simplify]: Simplify (- 1) into -1 7.490 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.490 * [backup-simplify]: Simplify (+ 1 0) into 1 7.491 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 7.491 * [backup-simplify]: Simplify -2 into -2 7.491 * [backup-simplify]: Simplify (- 0) into 0 7.492 * [backup-simplify]: Simplify (+ 0 0) into 0 7.492 * [backup-simplify]: Simplify (+ 0 0) into 0 7.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -2 (/ 1 1)))) into 2 7.493 * [backup-simplify]: Simplify 2 into 2 7.493 * [backup-simplify]: Simplify (+ (* 2 (pow x 2)) (+ (* -2 x) 1)) into (- (+ (* 2 (pow x 2)) 1) (* 2 x)) 7.494 * [backup-simplify]: Simplify (cbrt (* (* (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)) 7.494 * [approximate]: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)) in (x) around 0 7.494 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)) in x 7.494 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 7.494 * [taylor]: Taking taylor expansion of 1 in x 7.494 * [backup-simplify]: Simplify 1 into 1 7.494 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.494 * [taylor]: Taking taylor expansion of x in x 7.494 * [backup-simplify]: Simplify 0 into 0 7.494 * [backup-simplify]: Simplify 1 into 1 7.495 * [backup-simplify]: Simplify (/ 1 1) into 1 7.495 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 7.495 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.495 * [taylor]: Taking taylor expansion of x in x 7.495 * [backup-simplify]: Simplify 0 into 0 7.495 * [backup-simplify]: Simplify 1 into 1 7.495 * [backup-simplify]: Simplify (/ 1 1) into 1 7.495 * [taylor]: Taking taylor expansion of 1 in x 7.495 * [backup-simplify]: Simplify 1 into 1 7.496 * [backup-simplify]: Simplify (- 1) into -1 7.496 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.496 * [backup-simplify]: Simplify (+ 1 0) into 1 7.497 * [backup-simplify]: Simplify (/ -1 1) into -1 7.497 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)) in x 7.497 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 7.497 * [taylor]: Taking taylor expansion of 1 in x 7.497 * [backup-simplify]: Simplify 1 into 1 7.497 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.497 * [taylor]: Taking taylor expansion of x in x 7.497 * [backup-simplify]: Simplify 0 into 0 7.497 * [backup-simplify]: Simplify 1 into 1 7.497 * [backup-simplify]: Simplify (/ 1 1) into 1 7.497 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 7.497 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.498 * [taylor]: Taking taylor expansion of x in x 7.498 * [backup-simplify]: Simplify 0 into 0 7.498 * [backup-simplify]: Simplify 1 into 1 7.498 * [backup-simplify]: Simplify (/ 1 1) into 1 7.498 * [taylor]: Taking taylor expansion of 1 in x 7.498 * [backup-simplify]: Simplify 1 into 1 7.498 * [backup-simplify]: Simplify (- 1) into -1 7.499 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.499 * [backup-simplify]: Simplify (+ 1 0) into 1 7.500 * [backup-simplify]: Simplify (/ -1 1) into -1 7.500 * [backup-simplify]: Simplify -1 into -1 7.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.501 * [backup-simplify]: Simplify (- 0) into 0 7.501 * [backup-simplify]: Simplify (+ 1 0) into 1 7.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.502 * [backup-simplify]: Simplify (+ 0 1) into 1 7.503 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 7.503 * [backup-simplify]: Simplify 2 into 2 7.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.504 * [backup-simplify]: Simplify (- 0) into 0 7.505 * [backup-simplify]: Simplify (+ 0 0) into 0 7.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.506 * [backup-simplify]: Simplify (+ 0 0) into 0 7.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 1 1)))) into -2 7.507 * [backup-simplify]: Simplify -2 into -2 7.508 * [backup-simplify]: Simplify (+ (* -2 (pow (/ 1 x) 2)) (+ (* 2 (/ 1 x)) -1)) into (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) 7.508 * [backup-simplify]: Simplify (cbrt (* (* (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) into (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))) 7.508 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))) in (x) around 0 7.508 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))) in x 7.508 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 7.508 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.508 * [taylor]: Taking taylor expansion of x in x 7.508 * [backup-simplify]: Simplify 0 into 0 7.508 * [backup-simplify]: Simplify 1 into 1 7.509 * [backup-simplify]: Simplify (/ 1 1) into 1 7.509 * [taylor]: Taking taylor expansion of 1 in x 7.509 * [backup-simplify]: Simplify 1 into 1 7.509 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 7.509 * [taylor]: Taking taylor expansion of 1 in x 7.509 * [backup-simplify]: Simplify 1 into 1 7.509 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.509 * [taylor]: Taking taylor expansion of x in x 7.509 * [backup-simplify]: Simplify 0 into 0 7.509 * [backup-simplify]: Simplify 1 into 1 7.509 * [backup-simplify]: Simplify (/ 1 1) into 1 7.510 * [backup-simplify]: Simplify (+ 1 0) into 1 7.510 * [backup-simplify]: Simplify (- 1) into -1 7.510 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.511 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.511 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))) in x 7.511 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 7.511 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.511 * [taylor]: Taking taylor expansion of x in x 7.511 * [backup-simplify]: Simplify 0 into 0 7.511 * [backup-simplify]: Simplify 1 into 1 7.512 * [backup-simplify]: Simplify (/ 1 1) into 1 7.512 * [taylor]: Taking taylor expansion of 1 in x 7.512 * [backup-simplify]: Simplify 1 into 1 7.512 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 7.512 * [taylor]: Taking taylor expansion of 1 in x 7.512 * [backup-simplify]: Simplify 1 into 1 7.512 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.512 * [taylor]: Taking taylor expansion of x in x 7.512 * [backup-simplify]: Simplify 0 into 0 7.512 * [backup-simplify]: Simplify 1 into 1 7.512 * [backup-simplify]: Simplify (/ 1 1) into 1 7.513 * [backup-simplify]: Simplify (+ 1 0) into 1 7.513 * [backup-simplify]: Simplify (- 1) into -1 7.513 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.514 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.514 * [backup-simplify]: Simplify -1 into -1 7.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.515 * [backup-simplify]: Simplify (+ 0 1) into 1 7.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.517 * [backup-simplify]: Simplify (- 0) into 0 7.517 * [backup-simplify]: Simplify (+ 1 0) into 1 7.518 * [backup-simplify]: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 7.518 * [backup-simplify]: Simplify -2 into -2 7.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.519 * [backup-simplify]: Simplify (+ 0 0) into 0 7.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.520 * [backup-simplify]: Simplify (- 0) into 0 7.521 * [backup-simplify]: Simplify (+ 0 0) into 0 7.522 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2 7.522 * [backup-simplify]: Simplify -2 into -2 7.522 * [backup-simplify]: Simplify (+ (* -2 (pow (/ 1 (- x)) 2)) (+ (* -2 (/ 1 (- x))) -1)) into (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) 7.522 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1) 7.523 * [backup-simplify]: Simplify (* (* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x))) into (/ (pow (- 1 x) 3) (pow (+ x 1) 3)) 7.523 * [approximate]: Taking taylor expansion of (/ (pow (- 1 x) 3) (pow (+ x 1) 3)) in (x) around 0 7.523 * [taylor]: Taking taylor expansion of (/ (pow (- 1 x) 3) (pow (+ x 1) 3)) in x 7.523 * [taylor]: Taking taylor expansion of (pow (- 1 x) 3) in x 7.523 * [taylor]: Taking taylor expansion of (- 1 x) in x 7.523 * [taylor]: Taking taylor expansion of 1 in x 7.523 * [backup-simplify]: Simplify 1 into 1 7.523 * [taylor]: Taking taylor expansion of x in x 7.523 * [backup-simplify]: Simplify 0 into 0 7.523 * [backup-simplify]: Simplify 1 into 1 7.523 * [backup-simplify]: Simplify (- 0) into 0 7.524 * [backup-simplify]: Simplify (+ 1 0) into 1 7.524 * [taylor]: Taking taylor expansion of (pow (+ x 1) 3) in x 7.524 * [taylor]: Taking taylor expansion of (+ x 1) in x 7.524 * [taylor]: Taking taylor expansion of x in x 7.524 * [backup-simplify]: Simplify 0 into 0 7.524 * [backup-simplify]: Simplify 1 into 1 7.524 * [taylor]: Taking taylor expansion of 1 in x 7.524 * [backup-simplify]: Simplify 1 into 1 7.525 * [backup-simplify]: Simplify (+ 0 1) into 1 7.525 * [backup-simplify]: Simplify (* 1 1) into 1 7.526 * [backup-simplify]: Simplify (* 1 1) into 1 7.526 * [backup-simplify]: Simplify (* 1 1) into 1 7.526 * [backup-simplify]: Simplify (* 1 1) into 1 7.527 * [backup-simplify]: Simplify (/ 1 1) into 1 7.527 * [taylor]: Taking taylor expansion of (/ (pow (- 1 x) 3) (pow (+ x 1) 3)) in x 7.527 * [taylor]: Taking taylor expansion of (pow (- 1 x) 3) in x 7.527 * [taylor]: Taking taylor expansion of (- 1 x) in x 7.527 * [taylor]: Taking taylor expansion of 1 in x 7.527 * [backup-simplify]: Simplify 1 into 1 7.527 * [taylor]: Taking taylor expansion of x in x 7.527 * [backup-simplify]: Simplify 0 into 0 7.527 * [backup-simplify]: Simplify 1 into 1 7.527 * [backup-simplify]: Simplify (- 0) into 0 7.527 * [backup-simplify]: Simplify (+ 1 0) into 1 7.527 * [taylor]: Taking taylor expansion of (pow (+ x 1) 3) in x 7.527 * [taylor]: Taking taylor expansion of (+ x 1) in x 7.527 * [taylor]: Taking taylor expansion of x in x 7.527 * [backup-simplify]: Simplify 0 into 0 7.527 * [backup-simplify]: Simplify 1 into 1 7.527 * [taylor]: Taking taylor expansion of 1 in x 7.527 * [backup-simplify]: Simplify 1 into 1 7.528 * [backup-simplify]: Simplify (+ 0 1) into 1 7.528 * [backup-simplify]: Simplify (* 1 1) into 1 7.528 * [backup-simplify]: Simplify (* 1 1) into 1 7.528 * [backup-simplify]: Simplify (* 1 1) into 1 7.528 * [backup-simplify]: Simplify (* 1 1) into 1 7.529 * [backup-simplify]: Simplify (/ 1 1) into 1 7.529 * [backup-simplify]: Simplify 1 into 1 7.529 * [backup-simplify]: Simplify (- 1) into -1 7.529 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.530 * [backup-simplify]: Simplify (+ (* 1 -1) (* -1 1)) into -2 7.530 * [backup-simplify]: Simplify (+ (* 1 -2) (* -1 1)) into -3 7.531 * [backup-simplify]: Simplify (+ 1 0) into 1 7.531 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 7.531 * [backup-simplify]: Simplify (+ (* 1 2) (* 1 1)) into 3 7.532 * [backup-simplify]: Simplify (- (/ -3 1) (+ (* 1 (/ 3 1)))) into -6 7.532 * [backup-simplify]: Simplify -6 into -6 7.532 * [backup-simplify]: Simplify (- 0) into 0 7.532 * [backup-simplify]: Simplify (+ 0 0) into 0 7.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 -1) (* 0 1))) into 1 7.533 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* -1 -2) (* 0 1))) into 3 7.534 * [backup-simplify]: Simplify (+ 0 0) into 0 7.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 7.535 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 1 2) (* 0 1))) into 3 7.535 * [backup-simplify]: Simplify (- (/ 3 1) (+ (* 1 (/ 3 1)) (* -6 (/ 3 1)))) into 18 7.535 * [backup-simplify]: Simplify 18 into 18 7.536 * [backup-simplify]: Simplify (+ (* 18 (pow x 2)) (+ (* -6 x) 1)) into (- (+ (* 18 (pow x 2)) 1) (* 6 x)) 7.536 * [backup-simplify]: Simplify (* (* (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) into (/ (pow (- 1 (/ 1 x)) 3) (pow (+ (/ 1 x) 1) 3)) 7.536 * [approximate]: Taking taylor expansion of (/ (pow (- 1 (/ 1 x)) 3) (pow (+ (/ 1 x) 1) 3)) in (x) around 0 7.536 * [taylor]: Taking taylor expansion of (/ (pow (- 1 (/ 1 x)) 3) (pow (+ (/ 1 x) 1) 3)) in x 7.536 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 x)) 3) in x 7.536 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 7.536 * [taylor]: Taking taylor expansion of 1 in x 7.536 * [backup-simplify]: Simplify 1 into 1 7.536 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.536 * [taylor]: Taking taylor expansion of x in x 7.536 * [backup-simplify]: Simplify 0 into 0 7.536 * [backup-simplify]: Simplify 1 into 1 7.536 * [backup-simplify]: Simplify (/ 1 1) into 1 7.537 * [backup-simplify]: Simplify (- 1) into -1 7.537 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.537 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1) 3) in x 7.537 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 7.537 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.537 * [taylor]: Taking taylor expansion of x in x 7.537 * [backup-simplify]: Simplify 0 into 0 7.537 * [backup-simplify]: Simplify 1 into 1 7.537 * [backup-simplify]: Simplify (/ 1 1) into 1 7.537 * [taylor]: Taking taylor expansion of 1 in x 7.537 * [backup-simplify]: Simplify 1 into 1 7.538 * [backup-simplify]: Simplify (+ 1 0) into 1 7.538 * [backup-simplify]: Simplify (* -1 -1) into 1 7.538 * [backup-simplify]: Simplify (* -1 1) into -1 7.538 * [backup-simplify]: Simplify (* 1 1) into 1 7.539 * [backup-simplify]: Simplify (* 1 1) into 1 7.539 * [backup-simplify]: Simplify (/ -1 1) into -1 7.539 * [taylor]: Taking taylor expansion of (/ (pow (- 1 (/ 1 x)) 3) (pow (+ (/ 1 x) 1) 3)) in x 7.539 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 x)) 3) in x 7.539 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 7.539 * [taylor]: Taking taylor expansion of 1 in x 7.539 * [backup-simplify]: Simplify 1 into 1 7.539 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.539 * [taylor]: Taking taylor expansion of x in x 7.539 * [backup-simplify]: Simplify 0 into 0 7.539 * [backup-simplify]: Simplify 1 into 1 7.539 * [backup-simplify]: Simplify (/ 1 1) into 1 7.539 * [backup-simplify]: Simplify (- 1) into -1 7.540 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.540 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1) 3) in x 7.540 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 7.540 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.540 * [taylor]: Taking taylor expansion of x in x 7.540 * [backup-simplify]: Simplify 0 into 0 7.540 * [backup-simplify]: Simplify 1 into 1 7.540 * [backup-simplify]: Simplify (/ 1 1) into 1 7.540 * [taylor]: Taking taylor expansion of 1 in x 7.540 * [backup-simplify]: Simplify 1 into 1 7.540 * [backup-simplify]: Simplify (+ 1 0) into 1 7.541 * [backup-simplify]: Simplify (* -1 -1) into 1 7.541 * [backup-simplify]: Simplify (* -1 1) into -1 7.541 * [backup-simplify]: Simplify (* 1 1) into 1 7.541 * [backup-simplify]: Simplify (* 1 1) into 1 7.542 * [backup-simplify]: Simplify (/ -1 1) into -1 7.542 * [backup-simplify]: Simplify -1 into -1 7.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.542 * [backup-simplify]: Simplify (- 0) into 0 7.543 * [backup-simplify]: Simplify (+ 1 0) into 1 7.543 * [backup-simplify]: Simplify (+ (* -1 1) (* 1 -1)) into -2 7.543 * [backup-simplify]: Simplify (+ (* -1 -2) (* 1 1)) into 3 7.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.544 * [backup-simplify]: Simplify (+ 0 1) into 1 7.545 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 7.545 * [backup-simplify]: Simplify (+ (* 1 2) (* 1 1)) into 3 7.545 * [backup-simplify]: Simplify (- (/ 3 1) (+ (* -1 (/ 3 1)))) into 6 7.545 * [backup-simplify]: Simplify 6 into 6 7.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.546 * [backup-simplify]: Simplify (- 0) into 0 7.546 * [backup-simplify]: Simplify (+ 0 0) into 0 7.547 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1 1) (* 0 -1))) into 1 7.548 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 1 -2) (* 0 1))) into -3 7.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.548 * [backup-simplify]: Simplify (+ 0 0) into 0 7.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 7.550 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 1 2) (* 0 1))) into 3 7.550 * [backup-simplify]: Simplify (- (/ -3 1) (+ (* -1 (/ 3 1)) (* 6 (/ 3 1)))) into -18 7.550 * [backup-simplify]: Simplify -18 into -18 7.551 * [backup-simplify]: Simplify (+ (* -18 (pow (/ 1 x) 2)) (+ (* 6 (/ 1 x)) -1)) into (- (* 6 (/ 1 x)) (+ (* 18 (/ 1 (pow x 2))) 1)) 7.551 * [backup-simplify]: Simplify (* (* (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) into (/ (pow (+ (/ 1 x) 1) 3) (pow (- 1 (/ 1 x)) 3)) 7.551 * [approximate]: Taking taylor expansion of (/ (pow (+ (/ 1 x) 1) 3) (pow (- 1 (/ 1 x)) 3)) in (x) around 0 7.551 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 x) 1) 3) (pow (- 1 (/ 1 x)) 3)) in x 7.551 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1) 3) in x 7.551 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 7.551 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.551 * [taylor]: Taking taylor expansion of x in x 7.551 * [backup-simplify]: Simplify 0 into 0 7.551 * [backup-simplify]: Simplify 1 into 1 7.551 * [backup-simplify]: Simplify (/ 1 1) into 1 7.551 * [taylor]: Taking taylor expansion of 1 in x 7.551 * [backup-simplify]: Simplify 1 into 1 7.552 * [backup-simplify]: Simplify (+ 1 0) into 1 7.552 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 x)) 3) in x 7.552 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 7.552 * [taylor]: Taking taylor expansion of 1 in x 7.552 * [backup-simplify]: Simplify 1 into 1 7.552 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.552 * [taylor]: Taking taylor expansion of x in x 7.552 * [backup-simplify]: Simplify 0 into 0 7.552 * [backup-simplify]: Simplify 1 into 1 7.552 * [backup-simplify]: Simplify (/ 1 1) into 1 7.552 * [backup-simplify]: Simplify (- 1) into -1 7.552 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.553 * [backup-simplify]: Simplify (* 1 1) into 1 7.553 * [backup-simplify]: Simplify (* 1 1) into 1 7.553 * [backup-simplify]: Simplify (* -1 -1) into 1 7.553 * [backup-simplify]: Simplify (* -1 1) into -1 7.554 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.554 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 x) 1) 3) (pow (- 1 (/ 1 x)) 3)) in x 7.554 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1) 3) in x 7.554 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 7.554 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.554 * [taylor]: Taking taylor expansion of x in x 7.554 * [backup-simplify]: Simplify 0 into 0 7.554 * [backup-simplify]: Simplify 1 into 1 7.554 * [backup-simplify]: Simplify (/ 1 1) into 1 7.554 * [taylor]: Taking taylor expansion of 1 in x 7.554 * [backup-simplify]: Simplify 1 into 1 7.554 * [backup-simplify]: Simplify (+ 1 0) into 1 7.554 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 x)) 3) in x 7.554 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 7.554 * [taylor]: Taking taylor expansion of 1 in x 7.554 * [backup-simplify]: Simplify 1 into 1 7.554 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.554 * [taylor]: Taking taylor expansion of x in x 7.554 * [backup-simplify]: Simplify 0 into 0 7.554 * [backup-simplify]: Simplify 1 into 1 7.555 * [backup-simplify]: Simplify (/ 1 1) into 1 7.555 * [backup-simplify]: Simplify (- 1) into -1 7.555 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.555 * [backup-simplify]: Simplify (* 1 1) into 1 7.556 * [backup-simplify]: Simplify (* 1 1) into 1 7.556 * [backup-simplify]: Simplify (* -1 -1) into 1 7.556 * [backup-simplify]: Simplify (* -1 1) into -1 7.556 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.557 * [backup-simplify]: Simplify -1 into -1 7.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.557 * [backup-simplify]: Simplify (+ 0 1) into 1 7.558 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 7.558 * [backup-simplify]: Simplify (+ (* 1 2) (* 1 1)) into 3 7.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.559 * [backup-simplify]: Simplify (- 0) into 0 7.559 * [backup-simplify]: Simplify (+ 1 0) into 1 7.560 * [backup-simplify]: Simplify (+ (* -1 1) (* 1 -1)) into -2 7.560 * [backup-simplify]: Simplify (+ (* -1 -2) (* 1 1)) into 3 7.560 * [backup-simplify]: Simplify (- (/ 3 -1) (+ (* -1 (/ 3 -1)))) into -6 7.560 * [backup-simplify]: Simplify -6 into -6 7.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.561 * [backup-simplify]: Simplify (+ 0 0) into 0 7.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 7.562 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 1 2) (* 0 1))) into 3 7.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.563 * [backup-simplify]: Simplify (- 0) into 0 7.563 * [backup-simplify]: Simplify (+ 0 0) into 0 7.564 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1 1) (* 0 -1))) into 1 7.565 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 1 -2) (* 0 1))) into -3 7.565 * [backup-simplify]: Simplify (- (/ 3 -1) (+ (* -1 (/ -3 -1)) (* -6 (/ 3 -1)))) into -18 7.565 * [backup-simplify]: Simplify -18 into -18 7.565 * [backup-simplify]: Simplify (+ (* -18 (pow (/ 1 (- x)) 2)) (+ (* -6 (/ 1 (- x))) -1)) into (- (* 6 (/ 1 x)) (+ (* 18 (/ 1 (pow x 2))) 1)) 7.565 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1) 7.566 * [backup-simplify]: Simplify (* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x))) into (/ (pow (- 1 x) 2) (pow (+ x 1) 2)) 7.566 * [approximate]: Taking taylor expansion of (/ (pow (- 1 x) 2) (pow (+ x 1) 2)) in (x) around 0 7.566 * [taylor]: Taking taylor expansion of (/ (pow (- 1 x) 2) (pow (+ x 1) 2)) in x 7.566 * [taylor]: Taking taylor expansion of (pow (- 1 x) 2) in x 7.566 * [taylor]: Taking taylor expansion of (- 1 x) in x 7.566 * [taylor]: Taking taylor expansion of 1 in x 7.566 * [backup-simplify]: Simplify 1 into 1 7.566 * [taylor]: Taking taylor expansion of x in x 7.566 * [backup-simplify]: Simplify 0 into 0 7.566 * [backup-simplify]: Simplify 1 into 1 7.566 * [backup-simplify]: Simplify (- 0) into 0 7.566 * [backup-simplify]: Simplify (+ 1 0) into 1 7.566 * [taylor]: Taking taylor expansion of (pow (+ x 1) 2) in x 7.566 * [taylor]: Taking taylor expansion of (+ x 1) in x 7.566 * [taylor]: Taking taylor expansion of x in x 7.566 * [backup-simplify]: Simplify 0 into 0 7.566 * [backup-simplify]: Simplify 1 into 1 7.566 * [taylor]: Taking taylor expansion of 1 in x 7.566 * [backup-simplify]: Simplify 1 into 1 7.567 * [backup-simplify]: Simplify (+ 0 1) into 1 7.567 * [backup-simplify]: Simplify (* 1 1) into 1 7.567 * [backup-simplify]: Simplify (* 1 1) into 1 7.568 * [backup-simplify]: Simplify (/ 1 1) into 1 7.568 * [taylor]: Taking taylor expansion of (/ (pow (- 1 x) 2) (pow (+ x 1) 2)) in x 7.568 * [taylor]: Taking taylor expansion of (pow (- 1 x) 2) in x 7.568 * [taylor]: Taking taylor expansion of (- 1 x) in x 7.568 * [taylor]: Taking taylor expansion of 1 in x 7.568 * [backup-simplify]: Simplify 1 into 1 7.568 * [taylor]: Taking taylor expansion of x in x 7.568 * [backup-simplify]: Simplify 0 into 0 7.568 * [backup-simplify]: Simplify 1 into 1 7.568 * [backup-simplify]: Simplify (- 0) into 0 7.568 * [backup-simplify]: Simplify (+ 1 0) into 1 7.568 * [taylor]: Taking taylor expansion of (pow (+ x 1) 2) in x 7.568 * [taylor]: Taking taylor expansion of (+ x 1) in x 7.568 * [taylor]: Taking taylor expansion of x in x 7.568 * [backup-simplify]: Simplify 0 into 0 7.568 * [backup-simplify]: Simplify 1 into 1 7.568 * [taylor]: Taking taylor expansion of 1 in x 7.568 * [backup-simplify]: Simplify 1 into 1 7.569 * [backup-simplify]: Simplify (+ 0 1) into 1 7.569 * [backup-simplify]: Simplify (* 1 1) into 1 7.569 * [backup-simplify]: Simplify (* 1 1) into 1 7.569 * [backup-simplify]: Simplify (/ 1 1) into 1 7.569 * [backup-simplify]: Simplify 1 into 1 7.570 * [backup-simplify]: Simplify (- 1) into -1 7.570 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.570 * [backup-simplify]: Simplify (+ (* 1 -1) (* -1 1)) into -2 7.571 * [backup-simplify]: Simplify (+ 1 0) into 1 7.571 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 7.571 * [backup-simplify]: Simplify (- (/ -2 1) (+ (* 1 (/ 2 1)))) into -4 7.571 * [backup-simplify]: Simplify -4 into -4 7.572 * [backup-simplify]: Simplify (- 0) into 0 7.572 * [backup-simplify]: Simplify (+ 0 0) into 0 7.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 -1) (* 0 1))) into 1 7.573 * [backup-simplify]: Simplify (+ 0 0) into 0 7.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 7.574 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 1 1)) (* -4 (/ 2 1)))) into 8 7.574 * [backup-simplify]: Simplify 8 into 8 7.574 * [backup-simplify]: Simplify (+ (* 8 (pow x 2)) (+ (* -4 x) 1)) into (- (+ (* 8 (pow x 2)) 1) (* 4 x)) 7.574 * [backup-simplify]: Simplify (* (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) into (/ (pow (- 1 (/ 1 x)) 2) (pow (+ (/ 1 x) 1) 2)) 7.574 * [approximate]: Taking taylor expansion of (/ (pow (- 1 (/ 1 x)) 2) (pow (+ (/ 1 x) 1) 2)) in (x) around 0 7.574 * [taylor]: Taking taylor expansion of (/ (pow (- 1 (/ 1 x)) 2) (pow (+ (/ 1 x) 1) 2)) in x 7.574 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 x)) 2) in x 7.574 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 7.574 * [taylor]: Taking taylor expansion of 1 in x 7.574 * [backup-simplify]: Simplify 1 into 1 7.575 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.575 * [taylor]: Taking taylor expansion of x in x 7.575 * [backup-simplify]: Simplify 0 into 0 7.575 * [backup-simplify]: Simplify 1 into 1 7.575 * [backup-simplify]: Simplify (/ 1 1) into 1 7.575 * [backup-simplify]: Simplify (- 1) into -1 7.575 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.575 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1) 2) in x 7.575 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 7.575 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.575 * [taylor]: Taking taylor expansion of x in x 7.575 * [backup-simplify]: Simplify 0 into 0 7.575 * [backup-simplify]: Simplify 1 into 1 7.576 * [backup-simplify]: Simplify (/ 1 1) into 1 7.576 * [taylor]: Taking taylor expansion of 1 in x 7.576 * [backup-simplify]: Simplify 1 into 1 7.576 * [backup-simplify]: Simplify (+ 1 0) into 1 7.576 * [backup-simplify]: Simplify (* -1 -1) into 1 7.577 * [backup-simplify]: Simplify (* 1 1) into 1 7.577 * [backup-simplify]: Simplify (/ 1 1) into 1 7.577 * [taylor]: Taking taylor expansion of (/ (pow (- 1 (/ 1 x)) 2) (pow (+ (/ 1 x) 1) 2)) in x 7.577 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 x)) 2) in x 7.577 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 7.577 * [taylor]: Taking taylor expansion of 1 in x 7.577 * [backup-simplify]: Simplify 1 into 1 7.577 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.577 * [taylor]: Taking taylor expansion of x in x 7.577 * [backup-simplify]: Simplify 0 into 0 7.577 * [backup-simplify]: Simplify 1 into 1 7.581 * [backup-simplify]: Simplify (/ 1 1) into 1 7.582 * [backup-simplify]: Simplify (- 1) into -1 7.583 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.583 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1) 2) in x 7.583 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 7.583 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.583 * [taylor]: Taking taylor expansion of x in x 7.583 * [backup-simplify]: Simplify 0 into 0 7.583 * [backup-simplify]: Simplify 1 into 1 7.583 * [backup-simplify]: Simplify (/ 1 1) into 1 7.583 * [taylor]: Taking taylor expansion of 1 in x 7.583 * [backup-simplify]: Simplify 1 into 1 7.583 * [backup-simplify]: Simplify (+ 1 0) into 1 7.584 * [backup-simplify]: Simplify (* -1 -1) into 1 7.584 * [backup-simplify]: Simplify (* 1 1) into 1 7.585 * [backup-simplify]: Simplify (/ 1 1) into 1 7.585 * [backup-simplify]: Simplify 1 into 1 7.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.586 * [backup-simplify]: Simplify (- 0) into 0 7.586 * [backup-simplify]: Simplify (+ 1 0) into 1 7.587 * [backup-simplify]: Simplify (+ (* -1 1) (* 1 -1)) into -2 7.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.588 * [backup-simplify]: Simplify (+ 0 1) into 1 7.589 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 7.590 * [backup-simplify]: Simplify (- (/ -2 1) (+ (* 1 (/ 2 1)))) into -4 7.590 * [backup-simplify]: Simplify -4 into -4 7.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.591 * [backup-simplify]: Simplify (- 0) into 0 7.591 * [backup-simplify]: Simplify (+ 0 0) into 0 7.592 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1 1) (* 0 -1))) into 1 7.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.594 * [backup-simplify]: Simplify (+ 0 0) into 0 7.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 7.596 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 1 1)) (* -4 (/ 2 1)))) into 8 7.596 * [backup-simplify]: Simplify 8 into 8 7.596 * [backup-simplify]: Simplify (+ (* 8 (pow (/ 1 x) 2)) (+ (* -4 (/ 1 x)) 1)) into (- (+ (* 8 (/ 1 (pow x 2))) 1) (* 4 (/ 1 x))) 7.596 * [backup-simplify]: Simplify (* (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) into (/ (pow (+ (/ 1 x) 1) 2) (pow (- 1 (/ 1 x)) 2)) 7.596 * [approximate]: Taking taylor expansion of (/ (pow (+ (/ 1 x) 1) 2) (pow (- 1 (/ 1 x)) 2)) in (x) around 0 7.596 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 x) 1) 2) (pow (- 1 (/ 1 x)) 2)) in x 7.597 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1) 2) in x 7.597 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 7.597 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.597 * [taylor]: Taking taylor expansion of x in x 7.597 * [backup-simplify]: Simplify 0 into 0 7.597 * [backup-simplify]: Simplify 1 into 1 7.597 * [backup-simplify]: Simplify (/ 1 1) into 1 7.597 * [taylor]: Taking taylor expansion of 1 in x 7.597 * [backup-simplify]: Simplify 1 into 1 7.598 * [backup-simplify]: Simplify (+ 1 0) into 1 7.598 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 x)) 2) in x 7.598 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 7.598 * [taylor]: Taking taylor expansion of 1 in x 7.598 * [backup-simplify]: Simplify 1 into 1 7.598 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.598 * [taylor]: Taking taylor expansion of x in x 7.598 * [backup-simplify]: Simplify 0 into 0 7.598 * [backup-simplify]: Simplify 1 into 1 7.598 * [backup-simplify]: Simplify (/ 1 1) into 1 7.598 * [backup-simplify]: Simplify (- 1) into -1 7.599 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.599 * [backup-simplify]: Simplify (* 1 1) into 1 7.600 * [backup-simplify]: Simplify (* -1 -1) into 1 7.600 * [backup-simplify]: Simplify (/ 1 1) into 1 7.600 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 x) 1) 2) (pow (- 1 (/ 1 x)) 2)) in x 7.600 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1) 2) in x 7.600 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 7.600 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.600 * [taylor]: Taking taylor expansion of x in x 7.600 * [backup-simplify]: Simplify 0 into 0 7.600 * [backup-simplify]: Simplify 1 into 1 7.601 * [backup-simplify]: Simplify (/ 1 1) into 1 7.601 * [taylor]: Taking taylor expansion of 1 in x 7.601 * [backup-simplify]: Simplify 1 into 1 7.601 * [backup-simplify]: Simplify (+ 1 0) into 1 7.601 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 x)) 2) in x 7.601 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 7.601 * [taylor]: Taking taylor expansion of 1 in x 7.601 * [backup-simplify]: Simplify 1 into 1 7.601 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.601 * [taylor]: Taking taylor expansion of x in x 7.601 * [backup-simplify]: Simplify 0 into 0 7.601 * [backup-simplify]: Simplify 1 into 1 7.602 * [backup-simplify]: Simplify (/ 1 1) into 1 7.602 * [backup-simplify]: Simplify (- 1) into -1 7.603 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.603 * [backup-simplify]: Simplify (* 1 1) into 1 7.603 * [backup-simplify]: Simplify (* -1 -1) into 1 7.604 * [backup-simplify]: Simplify (/ 1 1) into 1 7.604 * [backup-simplify]: Simplify 1 into 1 7.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.605 * [backup-simplify]: Simplify (+ 0 1) into 1 7.605 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 7.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.607 * [backup-simplify]: Simplify (- 0) into 0 7.607 * [backup-simplify]: Simplify (+ 1 0) into 1 7.608 * [backup-simplify]: Simplify (+ (* -1 1) (* 1 -1)) into -2 7.609 * [backup-simplify]: Simplify (- (/ 2 1) (+ (* 1 (/ -2 1)))) into 4 7.609 * [backup-simplify]: Simplify 4 into 4 7.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.610 * [backup-simplify]: Simplify (+ 0 0) into 0 7.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 7.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.612 * [backup-simplify]: Simplify (- 0) into 0 7.613 * [backup-simplify]: Simplify (+ 0 0) into 0 7.614 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1 1) (* 0 -1))) into 1 7.615 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 1 1)) (* 4 (/ -2 1)))) into 8 7.615 * [backup-simplify]: Simplify 8 into 8 7.615 * [backup-simplify]: Simplify (+ (* 8 (pow (/ 1 (- x)) 2)) (+ (* 4 (/ 1 (- x))) 1)) into (- (+ (* 8 (/ 1 (pow x 2))) 1) (* 4 (/ 1 x))) 7.615 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 7.616 * [backup-simplify]: Simplify (sqrt (cbrt (* (* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x))))) into (sqrt (/ (- 1 x) (+ x 1))) 7.616 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1 x) (+ x 1))) in (x) around 0 7.616 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1 x) (+ x 1))) in x 7.616 * [taylor]: Taking taylor expansion of (/ (- 1 x) (+ x 1)) in x 7.616 * [taylor]: Taking taylor expansion of (- 1 x) in x 7.616 * [taylor]: Taking taylor expansion of 1 in x 7.616 * [backup-simplify]: Simplify 1 into 1 7.616 * [taylor]: Taking taylor expansion of x in x 7.616 * [backup-simplify]: Simplify 0 into 0 7.616 * [backup-simplify]: Simplify 1 into 1 7.616 * [taylor]: Taking taylor expansion of (+ x 1) in x 7.616 * [taylor]: Taking taylor expansion of x in x 7.616 * [backup-simplify]: Simplify 0 into 0 7.616 * [backup-simplify]: Simplify 1 into 1 7.616 * [taylor]: Taking taylor expansion of 1 in x 7.616 * [backup-simplify]: Simplify 1 into 1 7.617 * [backup-simplify]: Simplify (- 0) into 0 7.617 * [backup-simplify]: Simplify (+ 1 0) into 1 7.617 * [backup-simplify]: Simplify (+ 0 1) into 1 7.618 * [backup-simplify]: Simplify (/ 1 1) into 1 7.618 * [backup-simplify]: Simplify (sqrt 1) into 1 7.619 * [backup-simplify]: Simplify (- 1) into -1 7.619 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.619 * [backup-simplify]: Simplify (+ 1 0) into 1 7.620 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 7.621 * [backup-simplify]: Simplify (/ -2 (* 2 (sqrt 1))) into -1 7.621 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1 x) (+ x 1))) in x 7.621 * [taylor]: Taking taylor expansion of (/ (- 1 x) (+ x 1)) in x 7.621 * [taylor]: Taking taylor expansion of (- 1 x) in x 7.621 * [taylor]: Taking taylor expansion of 1 in x 7.621 * [backup-simplify]: Simplify 1 into 1 7.621 * [taylor]: Taking taylor expansion of x in x 7.621 * [backup-simplify]: Simplify 0 into 0 7.621 * [backup-simplify]: Simplify 1 into 1 7.621 * [taylor]: Taking taylor expansion of (+ x 1) in x 7.621 * [taylor]: Taking taylor expansion of x in x 7.621 * [backup-simplify]: Simplify 0 into 0 7.621 * [backup-simplify]: Simplify 1 into 1 7.622 * [taylor]: Taking taylor expansion of 1 in x 7.622 * [backup-simplify]: Simplify 1 into 1 7.622 * [backup-simplify]: Simplify (- 0) into 0 7.622 * [backup-simplify]: Simplify (+ 1 0) into 1 7.623 * [backup-simplify]: Simplify (+ 0 1) into 1 7.623 * [backup-simplify]: Simplify (/ 1 1) into 1 7.624 * [backup-simplify]: Simplify (sqrt 1) into 1 7.624 * [backup-simplify]: Simplify (- 1) into -1 7.624 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.625 * [backup-simplify]: Simplify (+ 1 0) into 1 7.626 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 7.626 * [backup-simplify]: Simplify (/ -2 (* 2 (sqrt 1))) into -1 7.627 * [backup-simplify]: Simplify 1 into 1 7.627 * [backup-simplify]: Simplify -1 into -1 7.627 * [backup-simplify]: Simplify (- 0) into 0 7.628 * [backup-simplify]: Simplify (+ 0 0) into 0 7.628 * [backup-simplify]: Simplify (+ 0 0) into 0 7.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -2 (/ 1 1)))) into 2 7.630 * [backup-simplify]: Simplify (/ (- 2 (pow -1 2) (+)) (* 2 1)) into 1/2 7.630 * [backup-simplify]: Simplify 1/2 into 1/2 7.630 * [backup-simplify]: Simplify (+ (* 1/2 (pow x 2)) (+ (* -1 x) 1)) into (- (+ (* 1/2 (pow x 2)) 1) x) 7.631 * [backup-simplify]: Simplify (sqrt (cbrt (* (* (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) into (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))) 7.631 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))) in (x) around 0 7.631 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))) in x 7.631 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)) in x 7.631 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 7.631 * [taylor]: Taking taylor expansion of 1 in x 7.631 * [backup-simplify]: Simplify 1 into 1 7.631 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.631 * [taylor]: Taking taylor expansion of x in x 7.631 * [backup-simplify]: Simplify 0 into 0 7.631 * [backup-simplify]: Simplify 1 into 1 7.631 * [backup-simplify]: Simplify (/ 1 1) into 1 7.631 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 7.632 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.632 * [taylor]: Taking taylor expansion of x in x 7.632 * [backup-simplify]: Simplify 0 into 0 7.632 * [backup-simplify]: Simplify 1 into 1 7.632 * [backup-simplify]: Simplify (/ 1 1) into 1 7.632 * [taylor]: Taking taylor expansion of 1 in x 7.632 * [backup-simplify]: Simplify 1 into 1 7.632 * [backup-simplify]: Simplify (- 1) into -1 7.633 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.633 * [backup-simplify]: Simplify (+ 1 0) into 1 7.634 * [backup-simplify]: Simplify (/ -1 1) into -1 7.634 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 7.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.635 * [backup-simplify]: Simplify (- 0) into 0 7.636 * [backup-simplify]: Simplify (+ 1 0) into 1 7.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.637 * [backup-simplify]: Simplify (+ 0 1) into 1 7.638 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 7.639 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt -1))) into (/ 1 (sqrt -1)) 7.639 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))) in x 7.639 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)) in x 7.639 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 7.639 * [taylor]: Taking taylor expansion of 1 in x 7.639 * [backup-simplify]: Simplify 1 into 1 7.639 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.639 * [taylor]: Taking taylor expansion of x in x 7.639 * [backup-simplify]: Simplify 0 into 0 7.639 * [backup-simplify]: Simplify 1 into 1 7.640 * [backup-simplify]: Simplify (/ 1 1) into 1 7.640 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 7.640 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.640 * [taylor]: Taking taylor expansion of x in x 7.640 * [backup-simplify]: Simplify 0 into 0 7.640 * [backup-simplify]: Simplify 1 into 1 7.640 * [backup-simplify]: Simplify (/ 1 1) into 1 7.640 * [taylor]: Taking taylor expansion of 1 in x 7.640 * [backup-simplify]: Simplify 1 into 1 7.641 * [backup-simplify]: Simplify (- 1) into -1 7.641 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.641 * [backup-simplify]: Simplify (+ 1 0) into 1 7.642 * [backup-simplify]: Simplify (/ -1 1) into -1 7.642 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 7.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.643 * [backup-simplify]: Simplify (- 0) into 0 7.644 * [backup-simplify]: Simplify (+ 1 0) into 1 7.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.645 * [backup-simplify]: Simplify (+ 0 1) into 1 7.646 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 7.647 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt -1))) into (/ 1 (sqrt -1)) 7.648 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 7.649 * [backup-simplify]: Simplify (/ 1 (sqrt -1)) into (/ 1 (sqrt -1)) 7.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.650 * [backup-simplify]: Simplify (- 0) into 0 7.650 * [backup-simplify]: Simplify (+ 0 0) into 0 7.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.652 * [backup-simplify]: Simplify (+ 0 0) into 0 7.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 1 1)))) into -2 7.656 * [backup-simplify]: Simplify (/ (- -2 (pow (/ 1 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (/ -1/2 (sqrt -1)) 7.657 * [backup-simplify]: Simplify (/ -1/2 (sqrt -1)) into (/ -1/2 (sqrt -1)) 7.659 * [backup-simplify]: Simplify (+ (* (/ -1/2 (sqrt -1)) (pow (/ 1 x) 2)) (+ (* (/ 1 (sqrt -1)) (/ 1 x)) (sqrt -1))) into (- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) 7.660 * [backup-simplify]: Simplify (sqrt (cbrt (* (* (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) into (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))) 7.660 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))) in (x) around 0 7.660 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))) in x 7.660 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))) in x 7.660 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 7.660 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.660 * [taylor]: Taking taylor expansion of x in x 7.660 * [backup-simplify]: Simplify 0 into 0 7.660 * [backup-simplify]: Simplify 1 into 1 7.661 * [backup-simplify]: Simplify (/ 1 1) into 1 7.661 * [taylor]: Taking taylor expansion of 1 in x 7.661 * [backup-simplify]: Simplify 1 into 1 7.661 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 7.661 * [taylor]: Taking taylor expansion of 1 in x 7.661 * [backup-simplify]: Simplify 1 into 1 7.661 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.661 * [taylor]: Taking taylor expansion of x in x 7.661 * [backup-simplify]: Simplify 0 into 0 7.661 * [backup-simplify]: Simplify 1 into 1 7.661 * [backup-simplify]: Simplify (/ 1 1) into 1 7.662 * [backup-simplify]: Simplify (+ 1 0) into 1 7.662 * [backup-simplify]: Simplify (- 1) into -1 7.662 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.663 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.663 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 7.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.664 * [backup-simplify]: Simplify (+ 0 1) into 1 7.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.666 * [backup-simplify]: Simplify (- 0) into 0 7.666 * [backup-simplify]: Simplify (+ 1 0) into 1 7.667 * [backup-simplify]: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 7.668 * [backup-simplify]: Simplify (/ -2 (* 2 (sqrt -1))) into (/ -1 (sqrt -1)) 7.668 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))) in x 7.668 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))) in x 7.668 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 7.668 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.668 * [taylor]: Taking taylor expansion of x in x 7.668 * [backup-simplify]: Simplify 0 into 0 7.669 * [backup-simplify]: Simplify 1 into 1 7.669 * [backup-simplify]: Simplify (/ 1 1) into 1 7.669 * [taylor]: Taking taylor expansion of 1 in x 7.669 * [backup-simplify]: Simplify 1 into 1 7.669 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 7.669 * [taylor]: Taking taylor expansion of 1 in x 7.669 * [backup-simplify]: Simplify 1 into 1 7.669 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.669 * [taylor]: Taking taylor expansion of x in x 7.669 * [backup-simplify]: Simplify 0 into 0 7.669 * [backup-simplify]: Simplify 1 into 1 7.669 * [backup-simplify]: Simplify (/ 1 1) into 1 7.670 * [backup-simplify]: Simplify (+ 1 0) into 1 7.670 * [backup-simplify]: Simplify (- 1) into -1 7.671 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.671 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.672 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 7.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.673 * [backup-simplify]: Simplify (+ 0 1) into 1 7.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.674 * [backup-simplify]: Simplify (- 0) into 0 7.674 * [backup-simplify]: Simplify (+ 1 0) into 1 7.675 * [backup-simplify]: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 7.677 * [backup-simplify]: Simplify (/ -2 (* 2 (sqrt -1))) into (/ -1 (sqrt -1)) 7.677 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 7.678 * [backup-simplify]: Simplify (/ -1 (sqrt -1)) into (/ -1 (sqrt -1)) 7.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.679 * [backup-simplify]: Simplify (+ 0 0) into 0 7.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.681 * [backup-simplify]: Simplify (- 0) into 0 7.681 * [backup-simplify]: Simplify (+ 0 0) into 0 7.682 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2 7.685 * [backup-simplify]: Simplify (/ (- -2 (pow (/ -1 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (/ -1/2 (sqrt -1)) 7.686 * [backup-simplify]: Simplify (/ -1/2 (sqrt -1)) into (/ -1/2 (sqrt -1)) 7.689 * [backup-simplify]: Simplify (+ (* (/ -1/2 (sqrt -1)) (pow (/ 1 (- x)) 2)) (+ (* (/ -1 (sqrt -1)) (/ 1 (- x))) (sqrt -1))) into (- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) 7.689 * * * [progress]: simplifying candidates 7.689 * * * * [progress]: [ 1 / 284 ] simplifiying candidate # 7.689 * * * * [progress]: [ 2 / 284 ] simplifiying candidate # 7.689 * * * * [progress]: [ 3 / 284 ] simplifiying candidate # 7.689 * * * * [progress]: [ 4 / 284 ] simplifiying candidate # 7.689 * * * * [progress]: [ 5 / 284 ] simplifiying 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(/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x))))))))))> 7.690 * * * * [progress]: [ 21 / 284 ] simplifiying candidate # 7.691 * * * * [progress]: [ 22 / 284 ] simplifiying candidate # 7.691 * * * * [progress]: [ 23 / 284 ] simplifiying candidate # 7.691 * * * * [progress]: [ 24 / 284 ] simplifiying candidate # 7.691 * * * * [progress]: [ 25 / 284 ] simplifiying candidate # 7.691 * * * * [progress]: [ 26 / 284 ] simplifiying candidate # 7.691 * * * * [progress]: [ 27 / 284 ] simplifiying candidate # 7.691 * * * * [progress]: [ 28 / 284 ] simplifiying candidate # 7.691 * * * * [progress]: [ 29 / 284 ] simplifiying candidate # 7.691 * * * * [progress]: [ 30 / 284 ] simplifiying candidate # 7.691 * * * * [progress]: [ 31 / 284 ] simplifiying candidate # 7.691 * * * * [progress]: [ 32 / 284 ] simplifiying candidate # 7.691 * * * * [progress]: [ 33 / 284 ] simplifiying candidate # 7.691 * * * * [progress]: [ 34 / 284 ] simplifiying candidate # 7.691 * * * * [progress]: [ 35 / 284 ] simplifiying candidate # 7.691 * * * * [progress]: [ 36 / 284 ] simplifiying candidate # 7.692 * * * * [progress]: [ 37 / 284 ] simplifiying candidate # 7.692 * * * * [progress]: [ 38 / 284 ] simplifiying candidate # 7.692 * * * * [progress]: [ 39 / 284 ] simplifiying candidate # 7.692 * * * * [progress]: [ 40 / 284 ] simplifiying candidate # 7.692 * * * * [progress]: [ 41 / 284 ] simplifiying candidate # 7.692 * * * * [progress]: [ 42 / 284 ] simplifiying candidate # 7.692 * * * * [progress]: [ 43 / 284 ] simplifiying candidate # 7.692 * * * * [progress]: [ 44 / 284 ] simplifiying candidate # 7.692 * * * * [progress]: [ 45 / 284 ] simplifiying candidate # 7.692 * * * * [progress]: [ 46 / 284 ] simplifiying candidate # 7.692 * * * * [progress]: [ 47 / 284 ] simplifiying candidate # 7.692 * * * * [progress]: [ 48 / 284 ] simplifiying candidate # 7.692 * * * * [progress]: [ 49 / 284 ] simplifiying candidate # 7.692 * * * * [progress]: [ 50 / 284 ] simplifiying candidate # 7.693 * * * * [progress]: [ 51 / 284 ] simplifiying candidate # 7.693 * * * * [progress]: [ 52 / 284 ] simplifiying candidate # 7.693 * * * * [progress]: [ 53 / 284 ] simplifiying candidate # 7.693 * * * * [progress]: [ 54 / 284 ] simplifiying candidate # 7.693 * * * * [progress]: [ 55 / 284 ] simplifiying candidate # 7.693 * * * * [progress]: [ 56 / 284 ] simplifiying candidate # 7.693 * * * * [progress]: [ 57 / 284 ] simplifiying candidate # 7.693 * * * * [progress]: [ 58 / 284 ] simplifiying candidate # 7.693 * * * * [progress]: [ 59 / 284 ] simplifiying candidate # 7.693 * * * * [progress]: [ 60 / 284 ] simplifiying candidate # 7.693 * * * * [progress]: [ 61 / 284 ] simplifiying candidate # 7.693 * * * * [progress]: [ 62 / 284 ] simplifiying candidate # 7.693 * * * * [progress]: [ 63 / 284 ] simplifiying candidate # 7.694 * * * * [progress]: [ 64 / 284 ] simplifiying candidate # 7.694 * * * * [progress]: [ 65 / 284 ] simplifiying candidate # 7.694 * * * * [progress]: [ 66 / 284 ] 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candidate # 7.696 * * * * [progress]: [ 98 / 284 ] simplifiying candidate # 7.696 * * * * [progress]: [ 99 / 284 ] simplifiying candidate # 7.696 * * * * [progress]: [ 100 / 284 ] simplifiying candidate # 7.696 * * * * [progress]: [ 101 / 284 ] simplifiying candidate #real (real->posit16 (* (* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x))))))))))> 7.696 * * * * [progress]: [ 102 / 284 ] simplifiying candidate # 7.696 * * * * [progress]: [ 103 / 284 ] simplifiying candidate # 7.696 * * * * [progress]: [ 104 / 284 ] simplifiying candidate # 7.696 * * * * [progress]: [ 105 / 284 ] simplifiying candidate # 7.696 * * * * [progress]: [ 106 / 284 ] simplifiying candidate # 7.696 * * * * [progress]: [ 107 / 284 ] simplifiying candidate # 7.697 * * * * [progress]: [ 108 / 284 ] simplifiying candidate # 7.697 * * * * [progress]: [ 109 / 284 ] simplifiying candidate # 7.697 * * * * [progress]: [ 110 / 284 ] simplifiying candidate # 7.697 * * * * [progress]: [ 111 / 284 ] 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[progress]: [ 248 / 284 ] simplifiying candidate # 7.706 * * * * [progress]: [ 249 / 284 ] simplifiying candidate # 7.706 * * * * [progress]: [ 250 / 284 ] simplifiying candidate # 7.706 * * * * [progress]: [ 251 / 284 ] simplifiying candidate # 7.706 * * * * [progress]: [ 252 / 284 ] simplifiying candidate # 7.706 * * * * [progress]: [ 253 / 284 ] simplifiying candidate # 7.706 * * * * [progress]: [ 254 / 284 ] simplifiying candidate # 7.706 * * * * [progress]: [ 255 / 284 ] simplifiying candidate # 7.706 * * * * [progress]: [ 256 / 284 ] simplifiying candidate # 7.706 * * * * [progress]: [ 257 / 284 ] simplifiying candidate # 7.706 * * * * [progress]: [ 258 / 284 ] simplifiying candidate # 7.706 * * * * [progress]: [ 259 / 284 ] simplifiying candidate # 7.706 * * * * [progress]: [ 260 / 284 ] simplifiying candidate # 7.706 * * * * [progress]: [ 261 / 284 ] simplifiying candidate # 7.706 * * * * [progress]: [ 262 / 284 ] simplifiying candidate # 7.706 * * * * [progress]: [ 263 / 284 ] simplifiying candidate # 7.706 * * * * [progress]: [ 264 / 284 ] simplifiying candidate # 7.706 * * * * [progress]: [ 265 / 284 ] simplifiying candidate # 7.706 * * * * [progress]: [ 266 / 284 ] simplifiying candidate # 7.706 * * * * [progress]: [ 267 / 284 ] simplifiying candidate # 7.706 * * * * [progress]: [ 268 / 284 ] simplifiying candidate # 7.706 * * * * [progress]: [ 269 / 284 ] simplifiying candidate # 7.706 * * * * [progress]: [ 270 / 284 ] simplifiying candidate # 7.706 * * * * [progress]: [ 271 / 284 ] simplifiying candidate # 7.707 * * * * [progress]: [ 272 / 284 ] simplifiying candidate #real (real->posit16 (sqrt (cbrt (* (* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x))))))))))> 7.707 * * * * [progress]: [ 273 / 284 ] simplifiying candidate # 7.707 * * * * [progress]: [ 274 / 284 ] simplifiying candidate # 7.707 * * * * [progress]: [ 275 / 284 ] simplifiying candidate # 7.707 * * * * [progress]: [ 276 / 284 ] simplifiying candidate # 7.707 * * * * [progress]: [ 277 / 284 ] simplifiying candidate # 7.707 * * * * [progress]: [ 278 / 284 ] simplifiying candidate # 7.707 * * * * [progress]: [ 279 / 284 ] simplifiying candidate # 7.707 * * * * [progress]: [ 280 / 284 ] simplifiying candidate # 7.707 * * * * [progress]: [ 281 / 284 ] simplifiying candidate # 7.707 * * * * [progress]: [ 282 / 284 ] simplifiying candidate # 7.707 * * * * [progress]: [ 283 / 284 ] simplifiying candidate # 7.707 * * * * [progress]: [ 284 / 284 ] simplifiying candidate # 7.710 * [simplify]: Simplifying: (expm1 (cbrt (* (* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x))))) (log1p (cbrt (* (* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x))))) (log (cbrt (* (* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x))))) (exp (cbrt (* (* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x))))) (cbrt (* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (* (* (- 1 x) (- 1 x)) (- 1 x))) (cbrt (* (* (+ 1 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