0.972 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.111 * * * [progress]: [2/2] Setting up program. 0.116 * [progress]: [Phase 2 of 3] Improving. 0.118 * [simplify]: Simplifying: (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.119 * * [simplify]: iteration 0: 9 enodes 0.123 * * [simplify]: iteration 1: 16 enodes 0.125 * * [simplify]: iteration 2: 19 enodes 0.127 * * [simplify]: iteration 3: 21 enodes 0.129 * * [simplify]: iteration complete: 21 enodes 0.129 * * [simplify]: Extracting #0: cost 1 inf + 0 0.130 * * [simplify]: Extracting #1: cost 3 inf + 0 0.130 * * [simplify]: Extracting #2: cost 3 inf + 1 0.130 * * [simplify]: Extracting #3: cost 4 inf + 1 0.130 * * [simplify]: Extracting #4: cost 9 inf + 1 0.130 * * [simplify]: Extracting #5: cost 12 inf + 1 0.130 * * [simplify]: Extracting #6: cost 8 inf + 8 0.130 * * [simplify]: Extracting #7: cost 3 inf + 34 0.130 * * [simplify]: Extracting #8: cost 1 inf + 51 0.130 * * [simplify]: Extracting #9: cost 0 inf + 62 0.130 * [simplify]: Simplified to: (* (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) 2.0) 0.187 * * [progress]: iteration 1 / 4 0.187 * * * [progress]: picking best candidate 0.194 * * * * [pick]: Picked # 0.194 * * * [progress]: localizing error 0.222 * * * [progress]: generating rewritten candidates 0.222 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1 1) 0.264 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.290 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.295 * * * [progress]: generating series expansions 0.295 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1 1) 0.307 * [backup-simplify]: Simplify (/ (- 1.0 x) (+ 1.0 x)) into (/ (- 1.0 x) (+ x 1.0)) 0.307 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 0.308 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.308 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.308 * [taylor]: Taking taylor expansion of 1.0 in x 0.308 * [backup-simplify]: Simplify 1.0 into 1.0 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [taylor]: Taking taylor expansion of 1.0 in x 0.309 * [backup-simplify]: Simplify 1.0 into 1.0 0.309 * [backup-simplify]: Simplify (- 0) into 0 0.310 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.310 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.311 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.311 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.311 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.311 * [taylor]: Taking taylor expansion of 1.0 in x 0.311 * [backup-simplify]: Simplify 1.0 into 1.0 0.311 * [taylor]: Taking taylor expansion of x in x 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 1 into 1 0.311 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 1 into 1 0.311 * [taylor]: Taking taylor expansion of 1.0 in x 0.311 * [backup-simplify]: Simplify 1.0 into 1.0 0.311 * [backup-simplify]: Simplify (- 0) into 0 0.311 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.312 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.312 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.313 * [backup-simplify]: Simplify 1.0 into 1.0 0.313 * [backup-simplify]: Simplify (- 1) into -1 0.313 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.314 * [backup-simplify]: Simplify (+ 1 0) into 1 0.316 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 0.316 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.317 * [backup-simplify]: Simplify (- 0) into 0 0.317 * [backup-simplify]: Simplify (+ 0 0) into 0 0.317 * [backup-simplify]: Simplify (+ 0 0) into 0 0.321 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 0.321 * [backup-simplify]: Simplify 2.0 into 2.0 0.322 * [backup-simplify]: Simplify (+ (* 2.0 (pow x 2)) (+ (* (- 2.0) x) 1.0)) into (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) 0.322 * [backup-simplify]: Simplify (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) into (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) 0.322 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.322 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.322 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.322 * [taylor]: Taking taylor expansion of 1.0 in x 0.322 * [backup-simplify]: Simplify 1.0 into 1.0 0.322 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.323 * [backup-simplify]: Simplify (/ 1 1) into 1 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 x) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.323 * [taylor]: Taking taylor expansion of 1.0 in x 0.323 * [backup-simplify]: Simplify 1.0 into 1.0 0.323 * [backup-simplify]: Simplify (- 1) into -1 0.324 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.324 * [backup-simplify]: Simplify (+ 1 0) into 1 0.325 * [backup-simplify]: Simplify (/ -1 1) into -1 0.325 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.325 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.325 * [taylor]: Taking taylor expansion of 1.0 in x 0.325 * [backup-simplify]: Simplify 1.0 into 1.0 0.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify (/ 1 1) into 1 0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.326 * [backup-simplify]: Simplify (/ 1 1) into 1 0.326 * [taylor]: Taking taylor expansion of 1.0 in x 0.326 * [backup-simplify]: Simplify 1.0 into 1.0 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 0.327 * [backup-simplify]: Simplify (/ -1 1) into -1 0.328 * [backup-simplify]: Simplify -1 into -1 0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.329 * [backup-simplify]: Simplify (- 0) into 0 0.329 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.331 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.334 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 0.334 * [backup-simplify]: Simplify 2.0 into 2.0 0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.337 * [backup-simplify]: Simplify (- 0) into 0 0.337 * [backup-simplify]: Simplify (+ 0 0) into 0 0.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.338 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 0.343 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.344 * [backup-simplify]: Simplify (+ (* (- 2.0) (pow (/ 1 x) 2)) (+ (* 2.0 (/ 1 x)) -1)) into (- (* 2.0 (/ 1 x)) (+ (* 2.0 (/ 1 (pow x 2))) 1)) 0.344 * [backup-simplify]: Simplify (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x)))) into (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) 0.344 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 0.344 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 1 into 1 0.345 * [backup-simplify]: Simplify (/ 1 1) into 1 0.345 * [taylor]: Taking taylor expansion of 1.0 in x 0.345 * [backup-simplify]: Simplify 1.0 into 1.0 0.345 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.345 * [taylor]: Taking taylor expansion of 1.0 in x 0.345 * [backup-simplify]: Simplify 1.0 into 1.0 0.345 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 1 into 1 0.346 * [backup-simplify]: Simplify (/ 1 1) into 1 0.346 * [backup-simplify]: Simplify (+ 1 0) into 1 0.346 * [backup-simplify]: Simplify (- 1) into -1 0.347 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.347 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.347 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) 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 0.348 * [backup-simplify]: Simplify (/ 1 1) into 1 0.348 * [taylor]: Taking taylor expansion of 1.0 in x 0.348 * [backup-simplify]: Simplify 1.0 into 1.0 0.348 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.348 * [taylor]: Taking taylor expansion of 1.0 in x 0.348 * [backup-simplify]: Simplify 1.0 into 1.0 0.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 1 into 1 0.348 * [backup-simplify]: Simplify (/ 1 1) into 1 0.348 * [backup-simplify]: Simplify (+ 1 0) into 1 0.348 * [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 * [backup-simplify]: Simplify -1 into -1 0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.351 * [backup-simplify]: Simplify (- 0) into 0 0.351 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.352 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 0.353 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (+ 0 0) into 0 0.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.354 * [backup-simplify]: Simplify (- 0) into 0 0.354 * [backup-simplify]: Simplify (+ 0 0) into 0 0.357 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 0.358 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.358 * [backup-simplify]: Simplify (+ (* (- 2.0) (pow (/ 1 (- x)) 2)) (+ (* (- 2.0) (/ 1 (- x))) -1)) into (- (* 2.0 (/ 1 x)) (+ (* 2.0 (/ 1 (pow x 2))) 1)) 0.359 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.359 * [backup-simplify]: Simplify (sqrt (/ (- 1.0 x) (+ 1.0 x))) into (sqrt (/ (- 1.0 x) (+ x 1.0))) 0.359 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 0.359 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.359 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.359 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.359 * [taylor]: Taking taylor expansion of 1.0 in x 0.359 * [backup-simplify]: Simplify 1.0 into 1.0 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 1 into 1 0.359 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 1 into 1 0.359 * [taylor]: Taking taylor expansion of 1.0 in x 0.359 * [backup-simplify]: Simplify 1.0 into 1.0 0.359 * [backup-simplify]: Simplify (- 0) into 0 0.359 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.360 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.360 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.360 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.361 * [backup-simplify]: Simplify (- 1) into -1 0.361 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.361 * [backup-simplify]: Simplify (+ 1 0) into 1 0.363 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 0.364 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 0.364 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.364 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.364 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.364 * [taylor]: Taking taylor expansion of 1.0 in x 0.364 * [backup-simplify]: Simplify 1.0 into 1.0 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 1 into 1 0.364 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 1 into 1 0.364 * [taylor]: Taking taylor expansion of 1.0 in x 0.364 * [backup-simplify]: Simplify 1.0 into 1.0 0.365 * [backup-simplify]: Simplify (- 0) into 0 0.365 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.365 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.365 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.366 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.366 * [backup-simplify]: Simplify (- 1) into -1 0.366 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.366 * [backup-simplify]: Simplify (+ 1 0) into 1 0.368 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 0.369 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 0.370 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.370 * [backup-simplify]: Simplify (/ -1.0 (sqrt 1.0)) into (/ -1.0 (sqrt 1.0)) 0.371 * [backup-simplify]: Simplify (- 0) into 0 0.371 * [backup-simplify]: Simplify (+ 0 0) into 0 0.371 * [backup-simplify]: Simplify (+ 0 0) into 0 0.376 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 0.382 * [backup-simplify]: Simplify (/ (- 2.0 (pow (/ -1.0 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) 0.389 * [backup-simplify]: Simplify (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) into (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) 0.398 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) (pow x 2)) (+ (* (/ -1.0 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) 0.398 * [backup-simplify]: Simplify (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) into (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) 0.398 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 0.398 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.398 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.398 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.398 * [taylor]: Taking taylor expansion of 1.0 in x 0.398 * [backup-simplify]: Simplify 1.0 into 1.0 0.398 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 1 into 1 0.399 * [backup-simplify]: Simplify (/ 1 1) into 1 0.399 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.399 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 1 into 1 0.400 * [backup-simplify]: Simplify (/ 1 1) into 1 0.400 * [taylor]: Taking taylor expansion of 1.0 in x 0.400 * [backup-simplify]: Simplify 1.0 into 1.0 0.400 * [backup-simplify]: Simplify (- 1) into -1 0.400 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.401 * [backup-simplify]: Simplify (+ 1 0) into 1 0.401 * [backup-simplify]: Simplify (/ -1 1) into -1 0.402 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.403 * [backup-simplify]: Simplify (- 0) into 0 0.403 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.405 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.408 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 0.409 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 0.409 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.409 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.409 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.409 * [taylor]: Taking taylor expansion of 1.0 in x 0.409 * [backup-simplify]: Simplify 1.0 into 1.0 0.409 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [backup-simplify]: Simplify (/ 1 1) into 1 0.410 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.410 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [backup-simplify]: Simplify (/ 1 1) into 1 0.410 * [taylor]: Taking taylor expansion of 1.0 in x 0.410 * [backup-simplify]: Simplify 1.0 into 1.0 0.411 * [backup-simplify]: Simplify (- 1) into -1 0.411 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.412 * [backup-simplify]: Simplify (+ 1 0) into 1 0.412 * [backup-simplify]: Simplify (/ -1 1) into -1 0.413 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.414 * [backup-simplify]: Simplify (- 0) into 0 0.414 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.415 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.418 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 0.420 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 0.421 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.422 * [backup-simplify]: Simplify (/ 1.0 (sqrt -1)) into (/ 1.0 (sqrt -1)) 0.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.423 * [backup-simplify]: Simplify (- 0) into 0 0.423 * [backup-simplify]: Simplify (+ 0 0) into 0 0.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.430 * [backup-simplify]: Simplify (+ 0 0) into 0 0.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 0.441 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ 1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 0.448 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (/ -0.5 (sqrt -1)) 0.451 * [backup-simplify]: Simplify (+ (* (/ -0.5 (sqrt -1)) (pow (/ 1 x) 2)) (+ (* (/ 1.0 (sqrt -1)) (/ 1 x)) (sqrt -1))) into (- (+ (sqrt -1) (* 1.0 (/ 1 (* x (sqrt -1))))) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) 0.451 * [backup-simplify]: Simplify (sqrt (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x))))) into (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) 0.451 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 0.451 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.451 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.451 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.452 * [backup-simplify]: Simplify (/ 1 1) into 1 0.452 * [taylor]: Taking taylor expansion of 1.0 in x 0.452 * [backup-simplify]: Simplify 1.0 into 1.0 0.452 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.452 * [taylor]: Taking taylor expansion of 1.0 in x 0.452 * [backup-simplify]: Simplify 1.0 into 1.0 0.452 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.452 * [backup-simplify]: Simplify (/ 1 1) into 1 0.453 * [backup-simplify]: Simplify (+ 1 0) into 1 0.453 * [backup-simplify]: Simplify (- 1) into -1 0.453 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.454 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.454 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.456 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (- 0) into 0 0.457 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.460 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 0.462 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 0.462 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.462 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.462 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 1 into 1 0.463 * [backup-simplify]: Simplify (/ 1 1) into 1 0.463 * [taylor]: Taking taylor expansion of 1.0 in x 0.463 * [backup-simplify]: Simplify 1.0 into 1.0 0.463 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.463 * [taylor]: Taking taylor expansion of 1.0 in x 0.463 * [backup-simplify]: Simplify 1.0 into 1.0 0.463 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 1 into 1 0.463 * [backup-simplify]: Simplify (/ 1 1) into 1 0.464 * [backup-simplify]: Simplify (+ 1 0) into 1 0.464 * [backup-simplify]: Simplify (- 1) into -1 0.464 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.465 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.465 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.466 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (- 0) into 0 0.468 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.471 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 0.473 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 0.473 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.474 * [backup-simplify]: Simplify (/ -1.0 (sqrt -1)) into (/ -1.0 (sqrt -1)) 0.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.476 * [backup-simplify]: Simplify (+ 0 0) into 0 0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.477 * [backup-simplify]: Simplify (- 0) into 0 0.477 * [backup-simplify]: Simplify (+ 0 0) into 0 0.482 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 0.489 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ -1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 0.495 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (/ -0.5 (sqrt -1)) 0.498 * [backup-simplify]: Simplify (+ (* (/ -0.5 (sqrt -1)) (pow (/ 1 (- x)) 2)) (+ (* (/ -1.0 (sqrt -1)) (/ 1 (- x))) (sqrt -1))) into (- (+ (sqrt -1) (* 1.0 (/ 1 (* x (sqrt -1))))) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) 0.498 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.498 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.498 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 0.498 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.500 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.500 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.500 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.501 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.501 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 0.501 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 0.501 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.502 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 0.502 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.502 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 0.502 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 (/ 1 x))) (+ (/ 1 (/ 1 x)) 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.503 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x)))))) into (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 0.503 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 0.503 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.503 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 0.503 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.504 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 0.504 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 (/ 1 (- x))) 1.0) (- 1.0 (/ 1 (/ 1 (- x))))))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.505 * * * [progress]: simplifying candidates 0.508 * [simplify]: Simplifying: (expm1 (/ (- 1.0 x) (+ 1.0 x))) (log1p (/ (- 1.0 x) (+ 1.0 x))) (- (log (- 1.0 x)) (log (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (exp (/ (- 1.0 x) (+ 1.0 x))) (/ (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x)) (* (* (+ 1.0 x) (+ 1.0 x)) (+ 1.0 x))) (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (+ 1.0 x))) (* (* (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x))) (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (- (- 1.0 x)) (- (+ 1.0 x)) (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 (+ 1.0 x)) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ (- 1.0 x) 1) (/ (- 1.0 x) 1) (/ (+ 1.0 x) (cbrt (- 1.0 x))) (/ (+ 1.0 x) (sqrt (- 1.0 x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (+ 1.0 x) (- (sqrt 1.0) (sqrt x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (* (+ 1.0 x) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* (+ 1.0 x) (+ 1.0 x)) (expm1 (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (exp (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (* (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt 1) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) (/ 1 2) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (expm1 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (* (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) (- (* 2.0 (/ 1 x)) (+ (* 2.0 (/ 1 (pow x 2))) 1)) (- (* 2.0 (/ 1 x)) (+ (* 2.0 (/ 1 (pow x 2))) 1)) (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) (- (+ (sqrt -1) (* 1.0 (/ 1 (* x (sqrt -1))))) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) (- (+ (sqrt -1) (* 1.0 (/ 1 (* x (sqrt -1))))) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.511 * * [simplify]: iteration 0: 168 enodes 0.547 * * [simplify]: iteration 1: 370 enodes 0.785 * * [simplify]: iteration 2: 1484 enodes 1.644 * * [simplify]: iteration complete: 5000 enodes 1.644 * * [simplify]: Extracting #0: cost 96 inf + 0 1.646 * * [simplify]: Extracting #1: cost 510 inf + 2 1.653 * * [simplify]: Extracting #2: cost 1436 inf + 196 1.660 * * [simplify]: Extracting #3: cost 1603 inf + 3802 1.675 * * [simplify]: Extracting #4: cost 276 inf + 13695 1.682 * * [simplify]: Extracting #5: cost 58 inf + 15891 1.695 * * [simplify]: Extracting #6: cost 14 inf + 16105 1.708 * * [simplify]: Extracting #7: cost 0 inf + 16186 1.723 * [simplify]: Simplified to: (expm1 (/ (- 1.0 x) (+ x 1.0))) (log1p (/ (- 1.0 x) (+ x 1.0))) (log (/ (- 1.0 x) (+ x 1.0))) (log (/ (- 1.0 x) (+ x 1.0))) (exp (/ (- 1.0 x) (+ x 1.0))) (pow (/ (- 1.0 x) (+ x 1.0)) 3) (* (cbrt (/ (- 1.0 x) (+ x 1.0))) (cbrt (/ (- 1.0 x) (+ x 1.0)))) (cbrt (/ (- 1.0 x) (+ x 1.0))) (pow (/ (- 1.0 x) (+ x 1.0)) 3) (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt (/ (- 1.0 x) (+ x 1.0))) (+ (- 1.0) x) (- (+ x 1.0)) (/ 1.0 (+ x 1.0)) (/ x (+ x 1.0)) (* (/ (cbrt (- 1.0 x)) (cbrt (+ x 1.0))) (/ (cbrt (- 1.0 x)) (cbrt (+ x 1.0)))) (/ (cbrt (- 1.0 x)) (cbrt (+ x 1.0))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ x 1.0))) (/ (cbrt (- 1.0 x)) (sqrt (+ x 1.0))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ x 1.0)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ x 1.0)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (sqrt (- 1.0 x)) (cbrt (+ x 1.0))) (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))) (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ x 1.0)) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ x 1.0)) (/ (/ 1 (cbrt (+ x 1.0))) (cbrt (+ x 1.0))) (/ (- 1.0 x) (cbrt (+ x 1.0))) (/ 1 (sqrt (+ x 1.0))) (/ (- 1.0 x) (sqrt (+ x 1.0))) 1 (/ (- 1.0 x) (+ x 1.0)) 1 (/ (- 1.0 x) (+ x 1.0)) (/ (/ (+ (sqrt x) (sqrt 1.0)) (cbrt (+ x 1.0))) (cbrt (+ x 1.0))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ x 1.0))) (/ (+ (sqrt x) (sqrt 1.0)) (sqrt (+ x 1.0))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ x 1.0))) (+ (sqrt x) (sqrt 1.0)) (/ (- (sqrt 1.0) (sqrt x)) (+ x 1.0)) (+ (sqrt x) (sqrt 1.0)) (/ (- (sqrt 1.0) (sqrt x)) (+ x 1.0)) (/ (/ 1 (cbrt (+ x 1.0))) (cbrt (+ x 1.0))) (/ (- 1.0 x) (cbrt (+ x 1.0))) (/ 1 (sqrt (+ x 1.0))) (/ (- 1.0 x) (sqrt (+ x 1.0))) 1 (/ (- 1.0 x) (+ x 1.0)) 1 (/ (- 1.0 x) (+ x 1.0)) (/ 1 (+ x 1.0)) (/ (+ x 1.0) (- 1.0 x)) (/ (/ (- 1.0 x) (cbrt (+ x 1.0))) (cbrt (+ x 1.0))) (/ (- 1.0 x) (sqrt (+ x 1.0))) (- 1.0 x) (- 1.0 x) (/ (+ x 1.0) (cbrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x))) (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- (sqrt 1.0) (sqrt x))) (/ (+ x 1.0) (- 1.0 x)) (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (/ (/ (- 1.0 x) (+ x 1.0)) (- 1.0 x)) (* (fma 1.0 1.0 (* x (+ x 1.0))) (+ x 1.0)) (* (+ x 1.0) (+ 1.0 x)) (expm1 (sqrt (/ (- 1.0 x) (+ x 1.0)))) (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))) (log (sqrt (/ (- 1.0 x) (+ x 1.0)))) (exp (sqrt (/ (- 1.0 x) (+ x 1.0)))) (* (cbrt (sqrt (/ (- 1.0 x) (+ x 1.0)))) (cbrt (sqrt (/ (- 1.0 x) (+ x 1.0))))) (cbrt (sqrt (/ (- 1.0 x) (+ x 1.0)))) (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3) (fabs (cbrt (/ (- 1.0 x) (+ x 1.0)))) (sqrt (cbrt (/ (- 1.0 x) (+ x 1.0)))) (sqrt (sqrt (/ (- 1.0 x) (+ x 1.0)))) (sqrt (sqrt (/ (- 1.0 x) (+ x 1.0)))) (fabs (/ (cbrt (- 1.0 x)) (cbrt (+ x 1.0)))) (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ x 1.0)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ x 1.0)))) (sqrt (/ (cbrt (- 1.0 x)) (sqrt (+ x 1.0)))) (fabs (cbrt (- 1.0 x))) (sqrt (/ (cbrt (- 1.0 x)) (+ x 1.0))) (fabs (cbrt (- 1.0 x))) (sqrt (/ (cbrt (- 1.0 x)) (+ x 1.0))) (sqrt (/ (sqrt (- 1.0 x)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (sqrt (/ (sqrt (- 1.0 x)) (cbrt (+ x 1.0)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0)))) (sqrt (sqrt (- 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (+ x 1.0))) (sqrt (sqrt (- 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (+ x 1.0))) (sqrt (/ (/ 1 (cbrt (+ x 1.0))) (cbrt (+ x 1.0)))) (sqrt (/ (- 1.0 x) (cbrt (+ x 1.0)))) (sqrt (/ 1 (sqrt (+ x 1.0)))) (sqrt (/ (- 1.0 x) (sqrt (+ x 1.0)))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt (/ (/ (+ (sqrt x) (sqrt 1.0)) (cbrt (+ x 1.0))) (cbrt (+ x 1.0)))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ x 1.0)))) (sqrt (/ (+ (sqrt x) (sqrt 1.0)) (sqrt (+ x 1.0)))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ x 1.0)))) (sqrt (+ (sqrt x) (sqrt 1.0))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ x 1.0))) (sqrt (+ (sqrt x) (sqrt 1.0))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ x 1.0))) (sqrt (/ (/ 1 (cbrt (+ x 1.0))) (cbrt (+ x 1.0)))) (sqrt (/ (- 1.0 x) (cbrt (+ x 1.0)))) (sqrt (/ 1 (sqrt (+ x 1.0)))) (sqrt (/ (- 1.0 x) (sqrt (+ x 1.0)))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt (- 1.0 x)) (sqrt (/ 1 (+ x 1.0))) (sqrt (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))) (sqrt (fma x (- x 1.0) (* 1.0 1.0))) (sqrt (/ (/ (- 1.0 x) (+ x 1.0)) (- 1.0 x))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ x 1.0)) 1/2 (sqrt (sqrt (/ (- 1.0 x) (+ x 1.0)))) (sqrt (sqrt (/ (- 1.0 x) (+ x 1.0)))) (expm1 (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (log1p (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (log (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (exp (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) (sqrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (- (fma x (* x 2.0) 1.0) (* 2.0 x)) (- (- (/ 2.0 x) 1) (/ (/ 2.0 x) x)) (- (- (/ 2.0 x) 1) (/ (/ 2.0 x) x)) (- (fma 1.0 (/ x (/ (sqrt 1.0) x)) (sqrt 1.0)) (fma (/ 0.5 1.0) (/ x (/ (sqrt 1.0) x)) (* (/ x (sqrt 1.0)) 1.0))) (+ (- (/ (/ 1.0 (sqrt -1)) x) (/ (/ 0.5 (sqrt -1)) (* x x))) (sqrt -1)) (+ (- (/ (/ 1.0 (sqrt -1)) x) (/ (/ 0.5 (sqrt -1)) (* x x))) (sqrt -1)) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 1.725 * * * [progress]: adding candidates to table 2.258 * * [progress]: iteration 2 / 4 2.258 * * * [progress]: picking best candidate 2.275 * * * * [pick]: Picked # 2.275 * * * [progress]: localizing error 2.304 * * * [progress]: generating rewritten candidates 2.304 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.318 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 2.330 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 2.361 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 2.374 * * * [progress]: generating series expansions 2.374 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.374 * [backup-simplify]: Simplify (atan (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 2.374 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 2.374 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 2.374 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 2.374 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 2.374 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 2.374 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 2.374 * [backup-simplify]: Simplify 0 into 0 2.374 * [backup-simplify]: Simplify 0 into 0 2.374 * [backup-simplify]: Simplify 0 into 0 2.374 * [backup-simplify]: Simplify 0 into 0 2.374 * [backup-simplify]: Simplify 0 into 0 2.374 * [backup-simplify]: Simplify 0 into 0 2.375 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 2.375 * [backup-simplify]: Simplify (atan (/ (sqrt (- 1.0 (/ 1 x))) (sqrt (+ (/ 1 x) 1.0)))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 2.375 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 2.375 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 2.375 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 2.375 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 2.375 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 2.375 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 2.375 * [backup-simplify]: Simplify 0 into 0 2.375 * [backup-simplify]: Simplify 0 into 0 2.375 * [backup-simplify]: Simplify 0 into 0 2.375 * [backup-simplify]: Simplify 0 into 0 2.375 * [backup-simplify]: Simplify 0 into 0 2.375 * [backup-simplify]: Simplify 0 into 0 2.375 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 (/ 1 x))) (+ (/ 1 (/ 1 x)) 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 2.376 * [backup-simplify]: Simplify (atan (/ (sqrt (- 1.0 (/ 1 (- x)))) (sqrt (+ (/ 1 (- x)) 1.0)))) into (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 2.376 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 2.376 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 2.376 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 2.376 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 2.376 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 2.376 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 2.376 * [backup-simplify]: Simplify 0 into 0 2.376 * [backup-simplify]: Simplify 0 into 0 2.376 * [backup-simplify]: Simplify 0 into 0 2.376 * [backup-simplify]: Simplify 0 into 0 2.376 * [backup-simplify]: Simplify 0 into 0 2.376 * [backup-simplify]: Simplify 0 into 0 2.376 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 (/ 1 (- x))) 1.0) (- 1.0 (/ 1 (/ 1 (- x))))))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 2.376 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 2.377 * [backup-simplify]: Simplify (sqrt (+ x 1.0)) into (sqrt (+ x 1.0)) 2.377 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 2.377 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.377 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.377 * [taylor]: Taking taylor expansion of x in x 2.377 * [backup-simplify]: Simplify 0 into 0 2.377 * [backup-simplify]: Simplify 1 into 1 2.377 * [taylor]: Taking taylor expansion of 1.0 in x 2.377 * [backup-simplify]: Simplify 1.0 into 1.0 2.377 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.378 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.378 * [backup-simplify]: Simplify (+ 1 0) into 1 2.379 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.379 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.379 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.379 * [taylor]: Taking taylor expansion of x in x 2.379 * [backup-simplify]: Simplify 0 into 0 2.379 * [backup-simplify]: Simplify 1 into 1 2.379 * [taylor]: Taking taylor expansion of 1.0 in x 2.379 * [backup-simplify]: Simplify 1.0 into 1.0 2.379 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.379 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.380 * [backup-simplify]: Simplify (+ 1 0) into 1 2.381 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.381 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.382 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 2.382 * [backup-simplify]: Simplify (+ 0 0) into 0 2.385 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 2.386 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 2.388 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 2)) (+ (* (/ 1/2 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) 2.388 * [backup-simplify]: Simplify (sqrt (+ (/ 1 x) 1.0)) into (sqrt (+ (/ 1 x) 1.0)) 2.388 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 2.388 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 2.388 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.388 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.388 * [taylor]: Taking taylor expansion of x in x 2.388 * [backup-simplify]: Simplify 0 into 0 2.388 * [backup-simplify]: Simplify 1 into 1 2.389 * [backup-simplify]: Simplify (/ 1 1) into 1 2.389 * [taylor]: Taking taylor expansion of 1.0 in x 2.389 * [backup-simplify]: Simplify 1.0 into 1.0 2.389 * [backup-simplify]: Simplify (+ 1 0) into 1 2.389 * [backup-simplify]: Simplify (sqrt 0) into 0 2.390 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.390 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 2.390 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.390 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.390 * [taylor]: Taking taylor expansion of x in x 2.390 * [backup-simplify]: Simplify 0 into 0 2.390 * [backup-simplify]: Simplify 1 into 1 2.391 * [backup-simplify]: Simplify (/ 1 1) into 1 2.391 * [taylor]: Taking taylor expansion of 1.0 in x 2.391 * [backup-simplify]: Simplify 1.0 into 1.0 2.391 * [backup-simplify]: Simplify (+ 1 0) into 1 2.391 * [backup-simplify]: Simplify (sqrt 0) into 0 2.393 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.393 * [backup-simplify]: Simplify 0 into 0 2.393 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.394 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.397 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.397 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.399 * [backup-simplify]: Simplify (+ 0 0) into 0 2.402 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.403 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.403 * [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))))) 2.403 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (- x)) 1.0)) into (sqrt (- 1.0 (/ 1 x))) 2.403 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 2.403 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.403 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.403 * [taylor]: Taking taylor expansion of 1.0 in x 2.403 * [backup-simplify]: Simplify 1.0 into 1.0 2.403 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.403 * [taylor]: Taking taylor expansion of x in x 2.403 * [backup-simplify]: Simplify 0 into 0 2.404 * [backup-simplify]: Simplify 1 into 1 2.404 * [backup-simplify]: Simplify (/ 1 1) into 1 2.404 * [backup-simplify]: Simplify (- 1) into -1 2.405 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.405 * [backup-simplify]: Simplify (sqrt 0) into 0 2.407 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.407 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.407 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.407 * [taylor]: Taking taylor expansion of 1.0 in x 2.407 * [backup-simplify]: Simplify 1.0 into 1.0 2.407 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.407 * [taylor]: Taking taylor expansion of x in x 2.407 * [backup-simplify]: Simplify 0 into 0 2.407 * [backup-simplify]: Simplify 1 into 1 2.407 * [backup-simplify]: Simplify (/ 1 1) into 1 2.408 * [backup-simplify]: Simplify (- 1) into -1 2.408 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.409 * [backup-simplify]: Simplify (sqrt 0) into 0 2.410 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.410 * [backup-simplify]: Simplify 0 into 0 2.410 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.412 * [backup-simplify]: Simplify (- 0) into 0 2.413 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.416 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.416 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.417 * [backup-simplify]: Simplify (- 0) into 0 2.418 * [backup-simplify]: Simplify (+ 0 0) into 0 2.422 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.422 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.422 * [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))))) 2.422 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 2.423 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))) into (sqrt (/ (- 1.0 x) (+ x 1.0))) 2.423 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 2.423 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 2.423 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 2.423 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 2.423 * [taylor]: Taking taylor expansion of 1.0 in x 2.423 * [backup-simplify]: Simplify 1.0 into 1.0 2.423 * [taylor]: Taking taylor expansion of x in x 2.423 * [backup-simplify]: Simplify 0 into 0 2.423 * [backup-simplify]: Simplify 1 into 1 2.423 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.423 * [taylor]: Taking taylor expansion of x in x 2.423 * [backup-simplify]: Simplify 0 into 0 2.423 * [backup-simplify]: Simplify 1 into 1 2.423 * [taylor]: Taking taylor expansion of 1.0 in x 2.423 * [backup-simplify]: Simplify 1.0 into 1.0 2.424 * [backup-simplify]: Simplify (- 0) into 0 2.424 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.425 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.425 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 2.425 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.426 * [backup-simplify]: Simplify (- 1) into -1 2.426 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.427 * [backup-simplify]: Simplify (+ 1 0) into 1 2.430 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 2.432 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 2.432 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 2.432 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 2.432 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 2.432 * [taylor]: Taking taylor expansion of 1.0 in x 2.432 * [backup-simplify]: Simplify 1.0 into 1.0 2.432 * [taylor]: Taking taylor expansion of x in x 2.432 * [backup-simplify]: Simplify 0 into 0 2.432 * [backup-simplify]: Simplify 1 into 1 2.432 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.432 * [taylor]: Taking taylor expansion of x in x 2.432 * [backup-simplify]: Simplify 0 into 0 2.432 * [backup-simplify]: Simplify 1 into 1 2.432 * [taylor]: Taking taylor expansion of 1.0 in x 2.432 * [backup-simplify]: Simplify 1.0 into 1.0 2.432 * [backup-simplify]: Simplify (- 0) into 0 2.433 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.433 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.434 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 2.434 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.435 * [backup-simplify]: Simplify (- 1) into -1 2.435 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.436 * [backup-simplify]: Simplify (+ 1 0) into 1 2.439 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 2.441 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 2.441 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.442 * [backup-simplify]: Simplify (/ -1.0 (sqrt 1.0)) into (/ -1.0 (sqrt 1.0)) 2.443 * [backup-simplify]: Simplify (- 0) into 0 2.443 * [backup-simplify]: Simplify (+ 0 0) into 0 2.443 * [backup-simplify]: Simplify (+ 0 0) into 0 2.453 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 2.459 * [backup-simplify]: Simplify (/ (- 2.0 (pow (/ -1.0 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) 2.466 * [backup-simplify]: Simplify (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) into (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) 2.475 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) (pow x 2)) (+ (* (/ -1.0 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) 2.475 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (/ 1 x))) (sqrt (+ (/ 1 x) 1.0))) into (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) 2.475 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 2.475 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 2.475 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 2.475 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.475 * [taylor]: Taking taylor expansion of 1.0 in x 2.475 * [backup-simplify]: Simplify 1.0 into 1.0 2.475 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.475 * [taylor]: Taking taylor expansion of x in x 2.475 * [backup-simplify]: Simplify 0 into 0 2.475 * [backup-simplify]: Simplify 1 into 1 2.476 * [backup-simplify]: Simplify (/ 1 1) into 1 2.476 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.476 * [taylor]: Taking taylor expansion of x in x 2.476 * [backup-simplify]: Simplify 0 into 0 2.476 * [backup-simplify]: Simplify 1 into 1 2.476 * [backup-simplify]: Simplify (/ 1 1) into 1 2.476 * [taylor]: Taking taylor expansion of 1.0 in x 2.476 * [backup-simplify]: Simplify 1.0 into 1.0 2.477 * [backup-simplify]: Simplify (- 1) into -1 2.477 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.478 * [backup-simplify]: Simplify (+ 1 0) into 1 2.478 * [backup-simplify]: Simplify (/ -1 1) into -1 2.478 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 2.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.480 * [backup-simplify]: Simplify (- 0) into 0 2.480 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.481 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.484 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 2.486 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 2.486 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 2.486 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 2.486 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.486 * [taylor]: Taking taylor expansion of 1.0 in x 2.486 * [backup-simplify]: Simplify 1.0 into 1.0 2.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.486 * [taylor]: Taking taylor expansion of x in x 2.486 * [backup-simplify]: Simplify 0 into 0 2.486 * [backup-simplify]: Simplify 1 into 1 2.486 * [backup-simplify]: Simplify (/ 1 1) into 1 2.486 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.486 * [taylor]: Taking taylor expansion of x in x 2.486 * [backup-simplify]: Simplify 0 into 0 2.486 * [backup-simplify]: Simplify 1 into 1 2.487 * [backup-simplify]: Simplify (/ 1 1) into 1 2.487 * [taylor]: Taking taylor expansion of 1.0 in x 2.487 * [backup-simplify]: Simplify 1.0 into 1.0 2.487 * [backup-simplify]: Simplify (- 1) into -1 2.487 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.488 * [backup-simplify]: Simplify (+ 1 0) into 1 2.488 * [backup-simplify]: Simplify (/ -1 1) into -1 2.489 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 2.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.490 * [backup-simplify]: Simplify (- 0) into 0 2.490 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.491 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.494 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 2.496 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 2.496 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 2.497 * [backup-simplify]: Simplify (/ 1.0 (sqrt -1)) into (/ 1.0 (sqrt -1)) 2.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.498 * [backup-simplify]: Simplify (- 0) into 0 2.499 * [backup-simplify]: Simplify (+ 0 0) into 0 2.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.500 * [backup-simplify]: Simplify (+ 0 0) into 0 2.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 2.508 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ 1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 2.512 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (/ -0.5 (sqrt -1)) 2.513 * [backup-simplify]: Simplify (+ (* (/ -0.5 (sqrt -1)) (pow (/ 1 x) 2)) (+ (* (/ 1.0 (sqrt -1)) (/ 1 x)) (sqrt -1))) into (- (+ (sqrt -1) (* 1.0 (/ 1 (* x (sqrt -1))))) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) 2.513 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (/ 1 (- x)))) (sqrt (+ (/ 1 (- x)) 1.0))) into (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) 2.513 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 2.513 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 2.513 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 2.513 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.513 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.513 * [taylor]: Taking taylor expansion of x in x 2.513 * [backup-simplify]: Simplify 0 into 0 2.513 * [backup-simplify]: Simplify 1 into 1 2.514 * [backup-simplify]: Simplify (/ 1 1) into 1 2.514 * [taylor]: Taking taylor expansion of 1.0 in x 2.514 * [backup-simplify]: Simplify 1.0 into 1.0 2.514 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.514 * [taylor]: Taking taylor expansion of 1.0 in x 2.514 * [backup-simplify]: Simplify 1.0 into 1.0 2.514 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.514 * [taylor]: Taking taylor expansion of x in x 2.514 * [backup-simplify]: Simplify 0 into 0 2.514 * [backup-simplify]: Simplify 1 into 1 2.514 * [backup-simplify]: Simplify (/ 1 1) into 1 2.514 * [backup-simplify]: Simplify (+ 1 0) into 1 2.515 * [backup-simplify]: Simplify (- 1) into -1 2.515 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.515 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.515 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 2.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.516 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.517 * [backup-simplify]: Simplify (- 0) into 0 2.517 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.519 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 2.520 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 2.520 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 2.520 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 2.520 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.520 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.520 * [taylor]: Taking taylor expansion of x in x 2.520 * [backup-simplify]: Simplify 0 into 0 2.520 * [backup-simplify]: Simplify 1 into 1 2.520 * [backup-simplify]: Simplify (/ 1 1) into 1 2.520 * [taylor]: Taking taylor expansion of 1.0 in x 2.520 * [backup-simplify]: Simplify 1.0 into 1.0 2.520 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.520 * [taylor]: Taking taylor expansion of 1.0 in x 2.520 * [backup-simplify]: Simplify 1.0 into 1.0 2.520 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.521 * [taylor]: Taking taylor expansion of x in x 2.521 * [backup-simplify]: Simplify 0 into 0 2.521 * [backup-simplify]: Simplify 1 into 1 2.521 * [backup-simplify]: Simplify (/ 1 1) into 1 2.521 * [backup-simplify]: Simplify (+ 1 0) into 1 2.521 * [backup-simplify]: Simplify (- 1) into -1 2.522 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.522 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.522 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 2.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.523 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.523 * [backup-simplify]: Simplify (- 0) into 0 2.524 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.525 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 2.527 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 2.527 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 2.528 * [backup-simplify]: Simplify (/ -1.0 (sqrt -1)) into (/ -1.0 (sqrt -1)) 2.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.528 * [backup-simplify]: Simplify (+ 0 0) into 0 2.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.530 * [backup-simplify]: Simplify (- 0) into 0 2.530 * [backup-simplify]: Simplify (+ 0 0) into 0 2.533 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 2.537 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ -1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 2.544 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (/ -0.5 (sqrt -1)) 2.547 * [backup-simplify]: Simplify (+ (* (/ -0.5 (sqrt -1)) (pow (/ 1 (- x)) 2)) (+ (* (/ -1.0 (sqrt -1)) (/ 1 (- x))) (sqrt -1))) into (- (+ (sqrt -1) (* 1.0 (/ 1 (* x (sqrt -1))))) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) 2.548 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 2.548 * [backup-simplify]: Simplify (sqrt (- 1.0 x)) into (sqrt (- 1.0 x)) 2.548 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 x)) in (x) around 0 2.548 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 x)) in x 2.548 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 2.548 * [taylor]: Taking taylor expansion of 1.0 in x 2.548 * [backup-simplify]: Simplify 1.0 into 1.0 2.548 * [taylor]: Taking taylor expansion of x in x 2.548 * [backup-simplify]: Simplify 0 into 0 2.548 * [backup-simplify]: Simplify 1 into 1 2.548 * [backup-simplify]: Simplify (- 0) into 0 2.549 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.549 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.549 * [backup-simplify]: Simplify (- 1) into -1 2.549 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.550 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 2.550 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 x)) in x 2.550 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 2.550 * [taylor]: Taking taylor expansion of 1.0 in x 2.550 * [backup-simplify]: Simplify 1.0 into 1.0 2.550 * [taylor]: Taking taylor expansion of x in x 2.550 * [backup-simplify]: Simplify 0 into 0 2.550 * [backup-simplify]: Simplify 1 into 1 2.551 * [backup-simplify]: Simplify (- 0) into 0 2.551 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.551 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.551 * [backup-simplify]: Simplify (- 1) into -1 2.552 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.553 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 2.553 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.554 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 2.554 * [backup-simplify]: Simplify (- 0) into 0 2.554 * [backup-simplify]: Simplify (+ 0 0) into 0 2.558 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 2.559 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 2.562 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 2)) (+ (* (/ -1/2 (sqrt 1.0)) x) (sqrt 1.0))) into (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1/2 (/ x (sqrt 1.0))))) 2.562 * [backup-simplify]: Simplify (sqrt (- 1.0 (/ 1 x))) into (sqrt (- 1.0 (/ 1 x))) 2.562 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 2.562 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.562 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.562 * [taylor]: Taking taylor expansion of 1.0 in x 2.562 * [backup-simplify]: Simplify 1.0 into 1.0 2.562 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.562 * [taylor]: Taking taylor expansion of x in x 2.562 * [backup-simplify]: Simplify 0 into 0 2.562 * [backup-simplify]: Simplify 1 into 1 2.562 * [backup-simplify]: Simplify (/ 1 1) into 1 2.562 * [backup-simplify]: Simplify (- 1) into -1 2.563 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.564 * [backup-simplify]: Simplify (sqrt 0) into 0 2.565 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.565 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.565 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.565 * [taylor]: Taking taylor expansion of 1.0 in x 2.565 * [backup-simplify]: Simplify 1.0 into 1.0 2.565 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.565 * [taylor]: Taking taylor expansion of x in x 2.565 * [backup-simplify]: Simplify 0 into 0 2.565 * [backup-simplify]: Simplify 1 into 1 2.566 * [backup-simplify]: Simplify (/ 1 1) into 1 2.566 * [backup-simplify]: Simplify (- 1) into -1 2.566 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.566 * [backup-simplify]: Simplify (sqrt 0) into 0 2.567 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.567 * [backup-simplify]: Simplify 0 into 0 2.567 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.568 * [backup-simplify]: Simplify (- 0) into 0 2.568 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.570 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.570 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.571 * [backup-simplify]: Simplify (- 0) into 0 2.572 * [backup-simplify]: Simplify (+ 0 0) into 0 2.574 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.574 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.574 * [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))))) 2.574 * [backup-simplify]: Simplify (sqrt (- 1.0 (/ 1 (- x)))) into (sqrt (+ (/ 1 x) 1.0)) 2.574 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 2.574 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 2.574 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.574 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.574 * [taylor]: Taking taylor expansion of x in x 2.574 * [backup-simplify]: Simplify 0 into 0 2.574 * [backup-simplify]: Simplify 1 into 1 2.575 * [backup-simplify]: Simplify (/ 1 1) into 1 2.575 * [taylor]: Taking taylor expansion of 1.0 in x 2.575 * [backup-simplify]: Simplify 1.0 into 1.0 2.575 * [backup-simplify]: Simplify (+ 1 0) into 1 2.575 * [backup-simplify]: Simplify (sqrt 0) into 0 2.576 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.576 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 2.576 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.576 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.576 * [taylor]: Taking taylor expansion of x in x 2.576 * [backup-simplify]: Simplify 0 into 0 2.576 * [backup-simplify]: Simplify 1 into 1 2.576 * [backup-simplify]: Simplify (/ 1 1) into 1 2.576 * [taylor]: Taking taylor expansion of 1.0 in x 2.577 * [backup-simplify]: Simplify 1.0 into 1.0 2.577 * [backup-simplify]: Simplify (+ 1 0) into 1 2.577 * [backup-simplify]: Simplify (sqrt 0) into 0 2.578 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.578 * [backup-simplify]: Simplify 0 into 0 2.578 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.579 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.581 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.581 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.581 * [backup-simplify]: Simplify (+ 0 0) into 0 2.584 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.584 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.584 * [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))))) 2.584 * * * [progress]: simplifying candidates 2.587 * [simplify]: Simplifying: (expm1 (atan (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))))) (log1p (atan (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))))) (log (atan (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))))) (exp (atan (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))))) (* (cbrt (atan (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))))) (cbrt (atan (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0)))))) (cbrt (atan (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))))) (* (* (atan (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0)))) (atan (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))))) (atan (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))))) (sqrt (atan (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))))) (sqrt (atan (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))))) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (+ x 1.0)) (sqrt 1) (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (/ 1 2) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (expm1 (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0)))) (log1p (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0)))) (- (log (sqrt (- 1.0 x))) (log (sqrt (+ x 1.0)))) (log (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0)))) (exp (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0)))) (/ (* (* (sqrt (- 1.0 x)) (sqrt (- 1.0 x))) (sqrt (- 1.0 x))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0)))) (* (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0)))) (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))))) (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0)))) (* (* (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))) (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0)))) (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0)))) (/ (- 1.0 x) (+ x 1.0)) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0)))) (- (sqrt (- 1.0 x))) (- (sqrt (+ x 1.0))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (/ (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (+ x 1.0)))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (cbrt (+ x 1.0)))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt (sqrt (+ x 1.0)))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ x 1.0)))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt 1)) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ x 1.0))) (/ 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[simplify]: Extracting #6: cost 0 inf + 13675 3.284 * [simplify]: Simplified to: (expm1 (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (log1p (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (log (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (exp (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (* (cbrt (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (cbrt (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (cbrt (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (pow (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) 3) (sqrt (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (sqrt (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (expm1 (sqrt (+ 1.0 x))) (log1p (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (exp (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (pow (sqrt (+ 1.0 x)) 3) (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) 1 (sqrt (+ 1.0 x)) 1 (sqrt (+ 1.0 x)) (hypot (pow 1.0 3/2) (pow x 3/2)) (sqrt (fma x x (* (- 1.0 x) 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(sqrt x))) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (+ 1.0 x))) (/ (/ 1 (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (/ 1 (fabs (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (cbrt (+ 1.0 x)))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (sqrt (- 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (fabs (cbrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (- 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (sqrt (sqrt (- 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (- 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (/ 1 (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (/ 1 (fabs (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (cbrt (+ 1.0 x)))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (/ (sqrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (fabs (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (sqrt (- 1.0 x)) (/ (sqrt (+ 1.0 x)) (cbrt (sqrt (- 1.0 x)))) (/ (sqrt (+ 1.0 x)) (sqrt (cbrt (- 1.0 x)))) (/ (sqrt (+ 1.0 x)) (sqrt (sqrt (- 1.0 x)))) (/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (sqrt (+ 1.0 x)) (sqrt (- (sqrt 1.0) (sqrt x)))) (/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (sqrt (+ 1.0 x)) (sqrt (sqrt (- 1.0 x)))) (/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (sqrt (- 1.0 x)) (hypot (pow 1.0 3/2) (pow x 3/2))) (/ (sqrt (- 1.0 x)) (sqrt (- (* x x) (* 1.0 1.0)))) (* (sqrt (fma x (+ x 1.0) (* 1.0 1.0))) (sqrt (+ 1.0 x))) (+ 1.0 x) (expm1 (sqrt (- 1.0 x))) (log1p (sqrt (- 1.0 x))) (log (sqrt (- 1.0 x))) (exp (sqrt (- 1.0 x))) (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (cbrt (sqrt (- 1.0 x))) (pow (sqrt (- 1.0 x)) 3) (fabs (cbrt (- 1.0 x))) (sqrt (cbrt (- 1.0 x))) (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (- 1.0 x))) 1 (sqrt (- 1.0 x)) (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (- (sqrt 1.0) (sqrt x))) 1 (sqrt (- 1.0 x)) (sqrt (- (pow 1.0 3) (pow x 3))) (sqrt (fma x (+ x 1.0) (* 1.0 1.0))) (sqrt (* (+ 1.0 x) (- 1.0 x))) (sqrt (+ 1.0 x)) 1/2 (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (- 1.0 x))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (fma -1/8 (/ (* x (/ x 1.0)) (sqrt 1.0)) (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0))) (- (+ (/ (/ (- +nan.0) x) x) (/ +nan.0 x)) +nan.0) (- (+ (/ (/ (- +nan.0) x) x) (/ +nan.0 x)) +nan.0) (- (* (/ x (/ (sqrt 1.0) x)) (- 1.0 (/ 0.5 1.0))) (- (/ x (/ (sqrt 1.0) 1.0)) (sqrt 1.0))) (+ (* (/ 1 (sqrt -1)) (- (/ 1.0 x) (/ 0.5 (* x x)))) (sqrt -1)) (+ (* (/ 1 (sqrt -1)) (- (/ 1.0 x) (/ 0.5 (* x x)))) (sqrt -1)) (- (sqrt 1.0) (fma 1/2 (/ x (sqrt 1.0)) (/ (/ (* (* 1/8 x) x) 1.0) (sqrt 1.0)))) (- (+ (/ (/ (- +nan.0) x) x) (/ +nan.0 x)) +nan.0) (- (+ (/ (/ (- +nan.0) x) x) (/ +nan.0 x)) +nan.0) 3.287 * * * [progress]: adding candidates to table 3.929 * * [progress]: iteration 3 / 4 3.929 * * * [progress]: picking best candidate 3.936 * * * * [pick]: Picked # 3.936 * * * [progress]: localizing error 3.951 * * * [progress]: generating rewritten candidates 3.951 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 3.982 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 3.990 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1 1) 4.001 * * * [progress]: generating series expansions 4.001 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 4.002 * [backup-simplify]: Simplify (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) into (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))) 4.002 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))) in (x) around 0 4.002 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))) in x 4.002 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 4.002 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 4.002 * [taylor]: Taking taylor expansion of 1.0 in x 4.002 * [backup-simplify]: Simplify 1.0 into 1.0 4.002 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.002 * [taylor]: Taking taylor expansion of x in x 4.002 * [backup-simplify]: Simplify 0 into 0 4.002 * [backup-simplify]: Simplify 1 into 1 4.003 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.003 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.003 * [backup-simplify]: Simplify (+ 0 0) into 0 4.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.004 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 4.004 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.004 * [taylor]: Taking taylor expansion of x in x 4.004 * [backup-simplify]: Simplify 0 into 0 4.004 * [backup-simplify]: Simplify 1 into 1 4.004 * [taylor]: Taking taylor expansion of 1.0 in x 4.004 * [backup-simplify]: Simplify 1.0 into 1.0 4.004 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.004 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 4.004 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))) in x 4.004 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 4.004 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 4.004 * [taylor]: Taking taylor expansion of 1.0 in x 4.004 * [backup-simplify]: Simplify 1.0 into 1.0 4.004 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.004 * [taylor]: Taking taylor expansion of x in x 4.004 * [backup-simplify]: Simplify 0 into 0 4.004 * [backup-simplify]: Simplify 1 into 1 4.005 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.005 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.005 * [backup-simplify]: Simplify (+ 0 0) into 0 4.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.006 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 4.006 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.006 * [taylor]: Taking taylor expansion of x in x 4.006 * [backup-simplify]: Simplify 0 into 0 4.006 * [backup-simplify]: Simplify 1 into 1 4.006 * [taylor]: Taking taylor expansion of 1.0 in x 4.006 * [backup-simplify]: Simplify 1.0 into 1.0 4.006 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.006 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 4.007 * [backup-simplify]: Simplify (* (sqrt 1.0) 1.0) into (* 1.0 (sqrt 1.0)) 4.008 * [backup-simplify]: Simplify (* 1.0 (sqrt 1.0)) into (* 1.0 (sqrt 1.0)) 4.008 * [backup-simplify]: Simplify (+ 1 0) into 1 4.011 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 1 1.0)))) into (- 1.0) 4.013 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (- 1.0)) (* 0 1.0)) into (- (* 1.0 (sqrt 1.0))) 4.015 * [backup-simplify]: Simplify (- (* 1.0 (sqrt 1.0))) into (- (* 1.0 (sqrt 1.0))) 4.015 * [backup-simplify]: Simplify (+ 0 0) into 0 4.020 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 0 1.0)) (* (- 1.0) (/ 1 1.0)))) into 1.0 4.020 * [backup-simplify]: Simplify (* 1 1) into 1 4.021 * [backup-simplify]: Simplify (- 1) into -1 4.021 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.024 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 4.029 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1.0) (+ (* 0 (- 1.0)) (* (/ -1/2 (sqrt 1.0)) 1.0))) into (- (* 1.0 (sqrt 1.0)) (* 0.5 (/ 1 (sqrt 1.0)))) 4.033 * [backup-simplify]: Simplify (- (* 1.0 (sqrt 1.0)) (* 0.5 (/ 1 (sqrt 1.0)))) into (- (* 1.0 (sqrt 1.0)) (* 0.5 (/ 1 (sqrt 1.0)))) 4.039 * [backup-simplify]: Simplify (+ (* (- (* 1.0 (sqrt 1.0)) (* 0.5 (/ 1 (sqrt 1.0)))) (pow x 2)) (+ (* (- (* 1.0 (sqrt 1.0))) x) (* 1.0 (sqrt 1.0)))) into (- (+ (* 1.0 (sqrt 1.0)) (* 1.0 (* (sqrt 1.0) (pow x 2)))) (+ (* 1.0 (* (sqrt 1.0) x)) (* 0.5 (/ (pow x 2) (sqrt 1.0))))) 4.039 * [backup-simplify]: Simplify (/ (sqrt (- (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) (+ 1.0 (/ 1 x))) into (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2))))) 4.040 * [approximate]: Taking taylor expansion of (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 4.040 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 4.040 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 4.040 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 4.040 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.040 * [taylor]: Taking taylor expansion of x in x 4.040 * [backup-simplify]: Simplify 0 into 0 4.040 * [backup-simplify]: Simplify 1 into 1 4.040 * [backup-simplify]: Simplify (/ 1 1) into 1 4.040 * [taylor]: Taking taylor expansion of 1.0 in x 4.040 * [backup-simplify]: Simplify 1.0 into 1.0 4.041 * [backup-simplify]: Simplify (+ 1 0) into 1 4.041 * [backup-simplify]: Simplify (/ 1 1) into 1 4.041 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 4.041 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 4.041 * [taylor]: Taking taylor expansion of 1.0 in x 4.041 * [backup-simplify]: Simplify 1.0 into 1.0 4.041 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.041 * [taylor]: Taking taylor expansion of x in x 4.041 * [backup-simplify]: Simplify 0 into 0 4.041 * [backup-simplify]: Simplify 1 into 1 4.042 * [backup-simplify]: Simplify (* 1 1) into 1 4.042 * [backup-simplify]: Simplify (/ 1 1) into 1 4.042 * [backup-simplify]: Simplify (- 1) into -1 4.043 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.043 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.044 * [backup-simplify]: Simplify (- 0) into 0 4.044 * [backup-simplify]: Simplify (+ 0 0) into 0 4.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.045 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 4.045 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 4.045 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 4.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.045 * [taylor]: Taking taylor expansion of x in x 4.045 * [backup-simplify]: Simplify 0 into 0 4.045 * [backup-simplify]: Simplify 1 into 1 4.045 * [backup-simplify]: Simplify (/ 1 1) into 1 4.045 * [taylor]: Taking taylor expansion of 1.0 in x 4.045 * [backup-simplify]: Simplify 1.0 into 1.0 4.046 * [backup-simplify]: Simplify (+ 1 0) into 1 4.046 * [backup-simplify]: Simplify (/ 1 1) into 1 4.046 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 4.046 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 4.046 * [taylor]: Taking taylor expansion of 1.0 in x 4.046 * [backup-simplify]: Simplify 1.0 into 1.0 4.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.046 * [taylor]: Taking taylor expansion of x in x 4.046 * [backup-simplify]: Simplify 0 into 0 4.046 * [backup-simplify]: Simplify 1 into 1 4.046 * [backup-simplify]: Simplify (* 1 1) into 1 4.047 * [backup-simplify]: Simplify (/ 1 1) into 1 4.047 * [backup-simplify]: Simplify (- 1) into -1 4.047 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.047 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.048 * [backup-simplify]: Simplify (- 0) into 0 4.049 * [backup-simplify]: Simplify (+ 0 0) into 0 4.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.050 * [backup-simplify]: Simplify (* 1 (sqrt -1)) into (sqrt -1) 4.050 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.051 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1.0 1)))) into (- 1.0) 4.056 * [backup-simplify]: Simplify (+ (* 1 0) (* (- 1.0) (sqrt -1))) into (- (* 1.0 (sqrt -1))) 4.057 * [backup-simplify]: Simplify (- (* 1.0 (sqrt -1))) into (- (* 1.0 (sqrt -1))) 4.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.058 * [backup-simplify]: Simplify (- 0) into 0 4.058 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.061 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 4.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.061 * [backup-simplify]: Simplify (+ 0 0) into 0 4.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 1.0 1)))) into 1.0 4.067 * [backup-simplify]: Simplify (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* (- 1.0) 0) (* 1.0 (sqrt -1)))) into (+ (* 1.0 (sqrt -1)) (* 0.5 (/ 1 (sqrt -1)))) 4.069 * [backup-simplify]: Simplify (+ (* 1.0 (sqrt -1)) (* 0.5 (/ 1 (sqrt -1)))) into (+ (* 1.0 (sqrt -1)) (* 0.5 (/ 1 (sqrt -1)))) 4.073 * [backup-simplify]: Simplify (+ (* (+ (* 1.0 (sqrt -1)) (* 0.5 (/ 1 (sqrt -1)))) (pow (/ 1 x) 2)) (+ (* (- (* 1.0 (sqrt -1))) (/ 1 x)) (sqrt -1))) into (- (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1.0 (/ (sqrt -1) (pow x 2))))) (* 1.0 (/ (sqrt -1) x))) 4.074 * [backup-simplify]: Simplify (/ (sqrt (- (* 1.0 1.0) (* (/ 1 (- x)) (/ 1 (- x))))) (+ 1.0 (/ 1 (- x)))) into (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2))))) 4.074 * [approximate]: Taking taylor expansion of (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 4.074 * [taylor]: Taking taylor expansion of (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 4.074 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 4.074 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.074 * [taylor]: Taking taylor expansion of 1.0 in x 4.074 * [backup-simplify]: Simplify 1.0 into 1.0 4.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.074 * [taylor]: Taking taylor expansion of x in x 4.074 * [backup-simplify]: Simplify 0 into 0 4.074 * [backup-simplify]: Simplify 1 into 1 4.074 * [backup-simplify]: Simplify (/ 1 1) into 1 4.074 * [backup-simplify]: Simplify (- 1) into -1 4.075 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.075 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.075 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 4.075 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 4.075 * [taylor]: Taking taylor expansion of 1.0 in x 4.075 * [backup-simplify]: Simplify 1.0 into 1.0 4.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.075 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.075 * [taylor]: Taking taylor expansion of x in x 4.075 * [backup-simplify]: Simplify 0 into 0 4.075 * [backup-simplify]: Simplify 1 into 1 4.076 * [backup-simplify]: Simplify (* 1 1) into 1 4.076 * [backup-simplify]: Simplify (/ 1 1) into 1 4.076 * [backup-simplify]: Simplify (- 1) into -1 4.077 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.077 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.079 * [backup-simplify]: Simplify (- 0) into 0 4.079 * [backup-simplify]: Simplify (+ 0 0) into 0 4.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.080 * [taylor]: Taking taylor expansion of (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 4.080 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 4.080 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.080 * [taylor]: Taking taylor expansion of 1.0 in x 4.080 * [backup-simplify]: Simplify 1.0 into 1.0 4.080 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.080 * [taylor]: Taking taylor expansion of x in x 4.081 * [backup-simplify]: Simplify 0 into 0 4.081 * [backup-simplify]: Simplify 1 into 1 4.081 * [backup-simplify]: Simplify (/ 1 1) into 1 4.081 * [backup-simplify]: Simplify (- 1) into -1 4.082 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.082 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.082 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 4.082 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 4.082 * [taylor]: Taking taylor expansion of 1.0 in x 4.082 * [backup-simplify]: Simplify 1.0 into 1.0 4.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.082 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.082 * [taylor]: Taking taylor expansion of x in x 4.082 * [backup-simplify]: Simplify 0 into 0 4.082 * [backup-simplify]: Simplify 1 into 1 4.083 * [backup-simplify]: Simplify (* 1 1) into 1 4.083 * [backup-simplify]: Simplify (/ 1 1) into 1 4.083 * [backup-simplify]: Simplify (- 1) into -1 4.084 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.084 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.085 * [backup-simplify]: Simplify (- 0) into 0 4.085 * [backup-simplify]: Simplify (+ 0 0) into 0 4.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.086 * [backup-simplify]: Simplify (* -1 (sqrt -1)) into (* -1 (sqrt -1)) 4.087 * [backup-simplify]: Simplify (* -1 (sqrt -1)) into (* -1 (sqrt -1)) 4.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.087 * [backup-simplify]: Simplify (- 0) into 0 4.088 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.089 * [backup-simplify]: Simplify (- (+ (* -1 (/ 1.0 -1)))) into (- 1.0) 4.091 * [backup-simplify]: Simplify (+ (* -1 0) (* (- 1.0) (sqrt -1))) into (- (* 1.0 (sqrt -1))) 4.092 * [backup-simplify]: Simplify (- (* 1.0 (sqrt -1))) into (- (* 1.0 (sqrt -1))) 4.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.093 * [backup-simplify]: Simplify (- 0) into 0 4.093 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.096 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 4.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.096 * [backup-simplify]: Simplify (- 0) into 0 4.097 * [backup-simplify]: Simplify (+ 0 0) into 0 4.099 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- 1.0) (/ 1.0 -1)))) into (- 1.0) 4.103 * [backup-simplify]: Simplify (+ (* -1 (/ 0.5 (sqrt -1))) (+ (* (- 1.0) 0) (* (- 1.0) (sqrt -1)))) into (- (+ (* 1.0 (sqrt -1)) (* 0.5 (/ 1 (sqrt -1))))) 4.106 * [backup-simplify]: Simplify (- (+ (* 1.0 (sqrt -1)) (* 0.5 (/ 1 (sqrt -1))))) into (- (+ (* 1.0 (sqrt -1)) (* 0.5 (/ 1 (sqrt -1))))) 4.110 * [backup-simplify]: Simplify (+ (* (- (+ (* 1.0 (sqrt -1)) (* 0.5 (/ 1 (sqrt -1))))) (pow (/ 1 (- x)) 2)) (+ (* (- (* 1.0 (sqrt -1))) (/ 1 (- x))) (* -1 (sqrt -1)))) into (- (* 1.0 (/ (sqrt -1) x)) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1.0 (/ (sqrt -1) (pow x 2)))))) 4.110 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 4.111 * [backup-simplify]: Simplify (atan (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) into (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) 4.111 * [approximate]: Taking taylor expansion of (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) in (x) around 0 4.111 * [taylor]: Taking taylor expansion of (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) in x 4.111 * [backup-simplify]: Simplify (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) into (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) 4.111 * [taylor]: Taking taylor expansion of (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) in x 4.111 * [backup-simplify]: Simplify (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) into (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) 4.112 * [backup-simplify]: Simplify (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) into (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) 4.112 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) into (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) 4.113 * [backup-simplify]: Simplify (atan (/ (sqrt (- (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) (+ 1.0 (/ 1 x)))) into (atan (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2)))))) 4.113 * [approximate]: Taking taylor expansion of (atan (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 4.113 * [taylor]: Taking taylor expansion of (atan (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 4.113 * [backup-simplify]: Simplify (atan (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2)))))) into (atan (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2)))))) 4.113 * [taylor]: Taking taylor expansion of (atan (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 4.114 * [backup-simplify]: Simplify (atan (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2)))))) into (atan (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2)))))) 4.114 * [backup-simplify]: Simplify (atan (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2)))))) into (atan (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2)))))) 4.114 * [backup-simplify]: Simplify 0 into 0 4.114 * [backup-simplify]: Simplify 0 into 0 4.114 * [backup-simplify]: Simplify 0 into 0 4.114 * [backup-simplify]: Simplify 0 into 0 4.114 * [backup-simplify]: Simplify 0 into 0 4.114 * [backup-simplify]: Simplify 0 into 0 4.115 * [backup-simplify]: Simplify (atan (* (/ 1 (+ (/ 1 (/ 1 x)) 1.0)) (sqrt (- 1.0 (/ 1 (pow (/ 1 x) 2)))))) into (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) 4.116 * [backup-simplify]: Simplify (atan (/ (sqrt (- (* 1.0 1.0) (* (/ 1 (- x)) (/ 1 (- x))))) (+ 1.0 (/ 1 (- x))))) into (atan (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2)))))) 4.116 * [approximate]: Taking taylor expansion of (atan (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 4.116 * [taylor]: Taking taylor expansion of (atan (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 4.116 * [backup-simplify]: Simplify (atan (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2)))))) into (atan (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2)))))) 4.116 * [taylor]: Taking taylor expansion of (atan (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 4.116 * [backup-simplify]: Simplify (atan (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2)))))) into (atan (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2)))))) 4.117 * [backup-simplify]: Simplify (atan (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2)))))) into (atan (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2)))))) 4.117 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify (atan (* (/ 1 (- 1.0 (/ 1 (/ 1 (- x))))) (sqrt (- 1.0 (/ 1 (pow (/ 1 (- x)) 2)))))) into (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) 4.117 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1 1) 4.118 * [backup-simplify]: Simplify (sqrt (- (* 1.0 1.0) (* x x))) into (sqrt (- 1.0 (pow x 2))) 4.118 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 4.118 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 4.118 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 4.118 * [taylor]: Taking taylor expansion of 1.0 in x 4.118 * [backup-simplify]: Simplify 1.0 into 1.0 4.118 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.118 * [taylor]: Taking taylor expansion of x in x 4.118 * [backup-simplify]: Simplify 0 into 0 4.118 * [backup-simplify]: Simplify 1 into 1 4.119 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.119 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.119 * [backup-simplify]: Simplify (+ 0 0) into 0 4.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.120 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 4.120 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 4.120 * [taylor]: Taking taylor expansion of 1.0 in x 4.120 * [backup-simplify]: Simplify 1.0 into 1.0 4.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.120 * [taylor]: Taking taylor expansion of x in x 4.120 * [backup-simplify]: Simplify 0 into 0 4.120 * [backup-simplify]: Simplify 1 into 1 4.121 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.121 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.122 * [backup-simplify]: Simplify (+ 0 0) into 0 4.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.123 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.123 * [backup-simplify]: Simplify 0 into 0 4.123 * [backup-simplify]: Simplify (* 1 1) into 1 4.123 * [backup-simplify]: Simplify (- 1) into -1 4.124 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.127 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 4.127 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 4.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.129 * [backup-simplify]: Simplify (- 0) into 0 4.129 * [backup-simplify]: Simplify (+ 0 0) into 0 4.130 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 4.130 * [backup-simplify]: Simplify 0 into 0 4.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.132 * [backup-simplify]: Simplify (- 0) into 0 4.132 * [backup-simplify]: Simplify (+ 0 0) into 0 4.138 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 4.140 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 4.144 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 4)) (+ (* (/ -1/2 (sqrt 1.0)) (pow x 2)) (sqrt 1.0))) into (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) 4.144 * [backup-simplify]: Simplify (sqrt (- (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 4.144 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 4.144 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 4.144 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 4.144 * [taylor]: Taking taylor expansion of 1.0 in x 4.145 * [backup-simplify]: Simplify 1.0 into 1.0 4.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.145 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.145 * [taylor]: Taking taylor expansion of x in x 4.145 * [backup-simplify]: Simplify 0 into 0 4.145 * [backup-simplify]: Simplify 1 into 1 4.145 * [backup-simplify]: Simplify (* 1 1) into 1 4.145 * [backup-simplify]: Simplify (/ 1 1) into 1 4.146 * [backup-simplify]: Simplify (- 1) into -1 4.146 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.147 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.149 * [backup-simplify]: Simplify (- 0) into 0 4.149 * [backup-simplify]: Simplify (+ 0 0) into 0 4.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.150 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 4.150 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 4.150 * [taylor]: Taking taylor expansion of 1.0 in x 4.150 * [backup-simplify]: Simplify 1.0 into 1.0 4.150 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.150 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.150 * [taylor]: Taking taylor expansion of x in x 4.150 * [backup-simplify]: Simplify 0 into 0 4.150 * [backup-simplify]: Simplify 1 into 1 4.150 * [backup-simplify]: Simplify (* 1 1) into 1 4.151 * [backup-simplify]: Simplify (/ 1 1) into 1 4.151 * [backup-simplify]: Simplify (- 1) into -1 4.152 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.152 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.154 * [backup-simplify]: Simplify (- 0) into 0 4.154 * [backup-simplify]: Simplify (+ 0 0) into 0 4.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.155 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.156 * [backup-simplify]: Simplify 0 into 0 4.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.158 * [backup-simplify]: Simplify (- 0) into 0 4.158 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.162 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 4.163 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 4.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.167 * [backup-simplify]: Simplify (- 0) into 0 4.168 * [backup-simplify]: Simplify (+ 0 0) into 0 4.169 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 4.169 * [backup-simplify]: Simplify 0 into 0 4.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.172 * [backup-simplify]: Simplify (- 0) into 0 4.172 * [backup-simplify]: Simplify (+ 0 0) into 0 4.177 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 4.178 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 4.180 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt -1) 3)) (pow (/ 1 x) 3)) (+ (* (/ 0.5 (sqrt -1)) (/ 1 x)) (* (sqrt -1) (/ 1 (/ 1 x))))) into (- (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1))))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) 4.181 * [backup-simplify]: Simplify (sqrt (- (* 1.0 1.0) (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 4.181 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 4.181 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 4.181 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 4.181 * [taylor]: Taking taylor expansion of 1.0 in x 4.181 * [backup-simplify]: Simplify 1.0 into 1.0 4.181 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.181 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.181 * [taylor]: Taking taylor expansion of x in x 4.181 * [backup-simplify]: Simplify 0 into 0 4.181 * [backup-simplify]: Simplify 1 into 1 4.181 * [backup-simplify]: Simplify (* 1 1) into 1 4.181 * [backup-simplify]: Simplify (/ 1 1) into 1 4.182 * [backup-simplify]: Simplify (- 1) into -1 4.182 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.182 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.183 * [backup-simplify]: Simplify (- 0) into 0 4.183 * [backup-simplify]: Simplify (+ 0 0) into 0 4.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.184 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 4.184 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 4.184 * [taylor]: Taking taylor expansion of 1.0 in x 4.184 * [backup-simplify]: Simplify 1.0 into 1.0 4.184 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.184 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.184 * [taylor]: Taking taylor expansion of x in x 4.184 * [backup-simplify]: Simplify 0 into 0 4.184 * [backup-simplify]: Simplify 1 into 1 4.184 * [backup-simplify]: Simplify (* 1 1) into 1 4.184 * [backup-simplify]: Simplify (/ 1 1) into 1 4.185 * [backup-simplify]: Simplify (- 1) into -1 4.185 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.185 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.186 * [backup-simplify]: Simplify (- 0) into 0 4.187 * [backup-simplify]: Simplify (+ 0 0) into 0 4.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.187 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.187 * [backup-simplify]: Simplify 0 into 0 4.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.189 * [backup-simplify]: Simplify (- 0) into 0 4.189 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.191 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 4.192 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 4.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.194 * [backup-simplify]: Simplify (- 0) into 0 4.194 * [backup-simplify]: Simplify (+ 0 0) into 0 4.195 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 4.195 * [backup-simplify]: Simplify 0 into 0 4.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.197 * [backup-simplify]: Simplify (- 0) into 0 4.197 * [backup-simplify]: Simplify (+ 0 0) into 0 4.201 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 4.202 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 4.204 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt -1) 3)) (pow (/ 1 (- x)) 3)) (+ (* (/ 0.5 (sqrt -1)) (/ 1 (- x))) (* (sqrt -1) (/ 1 (/ 1 (- x)))))) into (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1)))))) 4.204 * * * [progress]: simplifying candidates 4.205 * [simplify]: Simplifying: (expm1 (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (log1p (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (- (log (sqrt (- (* 1.0 1.0) (* x x)))) (log (+ 1.0 x))) (log (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (exp (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (/ (* (* (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (- (* 1.0 1.0) (* x x)))) (* (* (+ 1.0 x) (+ 1.0 x)) (+ 1.0 x))) (* (cbrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (cbrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)))) (cbrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (* (* (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (sqrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (sqrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (- (sqrt (- (* 1.0 1.0) (* x x)))) (- (+ 1.0 x)) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (+ 1.0 x))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (sqrt (+ 1.0 x))) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ 1.0 x))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) 1) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) 1) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (cbrt (+ 1.0 x))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) (sqrt (+ 1.0 x))) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ 1.0 x))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) 1) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) 1) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (+ 1.0 x))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) 1) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) 1) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (/ (sqrt 1) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (cbrt (+ 1.0 x))) (/ (sqrt 1) (sqrt (+ 1.0 x))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (+ 1.0 x))) (/ (sqrt 1) 1) (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) (/ (sqrt 1) 1) (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) (/ (sqrt (+ 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (+ 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (+ 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (+ 1.0 x))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) 1) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) 1) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (+ 1.0 x))) (/ 1 1) (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) (/ 1 1) (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) (/ 1 (+ 1.0 x)) (/ (+ 1.0 x) (sqrt (- (* 1.0 1.0) (* x x)))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (+ 1.0 x))) (/ (sqrt (- (* 1.0 1.0) (* x x))) 1) (/ (sqrt (- (* 1.0 1.0) (* x x))) 1) (/ (+ 1.0 x) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (/ (+ 1.0 x) (sqrt (cbrt (- (* 1.0 1.0) (* x x))))) (/ (+ 1.0 x) (sqrt (sqrt (- (* 1.0 1.0) (* x x))))) (/ (+ 1.0 x) (sqrt (- (* 1.0 1.0) (* x x)))) (/ (+ 1.0 x) (sqrt (- 1.0 x))) (/ (+ 1.0 x) (sqrt (sqrt (- (* 1.0 1.0) (* x x))))) (/ (+ 1.0 x) (sqrt (- (* 1.0 1.0) (* x x)))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ (pow 1.0 3) (pow x 3))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (- (* 1.0 1.0) (* x x))) (* (+ 1.0 x) (sqrt (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* x x) (* x x)) (* (* 1.0 1.0) (* x x)))))) (* (+ 1.0 x) (sqrt (+ (* 1.0 1.0) (* x x)))) (expm1 (atan (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)))) (log1p (atan (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)))) (log (atan (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)))) (exp (atan (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)))) (* (cbrt (atan (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)))) (cbrt (atan (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))))) (cbrt (atan (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)))) (* (* (atan (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (atan (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)))) (atan (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)))) (sqrt (atan (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)))) (sqrt (atan (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)))) (expm1 (sqrt (- (* 1.0 1.0) (* x x)))) (log1p (sqrt (- (* 1.0 1.0) (* x x)))) (log (sqrt (- (* 1.0 1.0) (* x x)))) (exp (sqrt (- (* 1.0 1.0) (* x x)))) (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (* (* (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt 1) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (+ 1.0 x)) (sqrt (- 1.0 x)) (sqrt (- (pow (* 1.0 1.0) 3) (pow (* x x) 3))) (sqrt (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* x x) (* x x)) (* (* 1.0 1.0) (* x x))))) (sqrt (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* x x) (* x x)))) (sqrt (+ (* 1.0 1.0) (* x x))) (/ 1 2) (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (- (+ (* 1.0 (sqrt 1.0)) (* 1.0 (* (sqrt 1.0) (pow x 2)))) (+ (* 1.0 (* (sqrt 1.0) x)) (* 0.5 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1.0 (/ (sqrt -1) (pow x 2))))) (* 1.0 (/ (sqrt -1) x))) (- (* 1.0 (/ (sqrt -1) x)) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1.0 (/ (sqrt -1) (pow x 2)))))) (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1))))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1)))))) 4.207 * * [simplify]: iteration 0: 170 enodes 4.272 * * [simplify]: iteration 1: 396 enodes 4.547 * * [simplify]: iteration 2: 1723 enodes 5.250 * * [simplify]: iteration complete: 5000 enodes 5.250 * * [simplify]: Extracting #0: cost 78 inf + 0 5.251 * * [simplify]: Extracting #1: cost 310 inf + 2 5.256 * * [simplify]: Extracting #2: cost 904 inf + 110 5.276 * * [simplify]: Extracting #3: cost 1470 inf + 3324 5.289 * * [simplify]: Extracting #4: cost 360 inf + 11116 5.302 * * [simplify]: Extracting #5: cost 76 inf + 13197 5.315 * * [simplify]: Extracting #6: cost 12 inf + 13509 5.328 * * [simplify]: Extracting #7: cost 0 inf + 13585 5.342 * [simplify]: Simplified to: (expm1 (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (log1p (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (log (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (log (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (exp (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (pow (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) 3) (* (cbrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (cbrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)))) (cbrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (pow (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) 3) (sqrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (sqrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (- (sqrt (- (* 1.0 1.0) (* x x)))) (- (+ 1.0 x)) (* (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (+ 1.0 x))) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (+ 1.0 x)))) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (+ 1.0 x))) (* (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ 1.0 x))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ 1.0 x))) (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (/ (/ (fabs (cbrt (- (* 1.0 1.0) (* x x)))) (cbrt (+ 1.0 x))) (cbrt (+ 1.0 x))) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (cbrt (+ 1.0 x))) (/ (fabs (cbrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ 1.0 x))) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ 1.0 x))) (fabs (cbrt (- (* 1.0 1.0) (* x x)))) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (fabs (cbrt (- (* 1.0 1.0) (* x x)))) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (/ (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (+ 1.0 x))) (cbrt (+ 1.0 x))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (+ 1.0 x))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ 1.0 x))) (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (+ 1.0 x))) 1 (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) 1 (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) (/ (sqrt (+ 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (sqrt (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (+ 1.0 x))) (cbrt (+ 1.0 x))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (+ 1.0 x))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ 1.0 x))) (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (+ 1.0 x))) 1 (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) 1 (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) (/ 1 (+ 1.0 x)) (/ (+ 1.0 x) (sqrt (- (* 1.0 1.0) (* x x)))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (+ 1.0 x))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- (* 1.0 1.0) (* x x))) (/ (+ 1.0 x) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (/ (+ 1.0 x) (sqrt (cbrt (- (* 1.0 1.0) (* x x))))) (/ (+ 1.0 x) (sqrt (sqrt (- (* 1.0 1.0) (* x x))))) (/ (+ 1.0 x) (sqrt (- (* 1.0 1.0) (* x x)))) (/ (+ 1.0 x) (sqrt (- 1.0 x))) (/ (+ 1.0 x) (sqrt (sqrt (- (* 1.0 1.0) (* x x))))) (/ (+ 1.0 x) (sqrt (- (* 1.0 1.0) (* x x)))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ (pow 1.0 3) (pow x 3))) (/ 1 (sqrt (- (* 1.0 1.0) (* x x)))) (* (+ 1.0 x) (sqrt (fma x (* x (fma 1.0 1.0 (* x x))) (pow 1.0 4)))) (* (hypot 1.0 x) (+ 1.0 x)) (expm1 (atan (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)))) (log1p (atan (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)))) (log (atan (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)))) (exp (atan (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)))) (* (cbrt (atan (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)))) (cbrt (atan (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))))) (cbrt (atan (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)))) (pow (atan (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) 3) (sqrt (atan (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)))) (sqrt (atan (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)))) (expm1 (sqrt (- (* 1.0 1.0) (* x x)))) (log1p (sqrt (- (* 1.0 1.0) (* x x)))) (log (sqrt (- (* 1.0 1.0) (* x x)))) (exp (sqrt (- (* 1.0 1.0) (* x x)))) (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (pow (sqrt (- (* 1.0 1.0) (* x x))) 3) (fabs (cbrt (- (* 1.0 1.0) (* x x)))) (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) 1 (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (+ 1.0 x)) (sqrt (- 1.0 x)) (sqrt (- (pow 1.0 6) (pow x 6))) (sqrt (fma x (* x (fma 1.0 1.0 (* x x))) (pow 1.0 4))) (sqrt (- (pow 1.0 4) (pow x 4))) (hypot 1.0 x) 1/2 (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (fma 1.0 (fma (fma x x 1) (sqrt 1.0) (- (* (sqrt 1.0) x))) (- (/ 0.5 (/ (sqrt 1.0) (* x x))))) (fma 1.0 (- (/ (sqrt -1) x)) (fma 1.0 (/ (sqrt -1) (* x x)) (+ (/ (/ 0.5 (* x x)) (sqrt -1)) (sqrt -1)))) (- (* (/ (sqrt -1) x) 1.0) (fma 1.0 (/ (sqrt -1) (* x x)) (+ (/ (/ 0.5 (* x x)) (sqrt -1)) (sqrt -1)))) (atan (/ (sqrt (- 1.0 (* x x))) (+ 1.0 x))) (atan (/ (sqrt (- 1.0 (* x x))) (+ 1.0 x))) (atan (/ (sqrt (- 1.0 (* x x))) (+ 1.0 x))) (- (sqrt 1.0) (fma (/ (pow x 4) (pow (sqrt 1.0) 3)) 1/8 (/ (* 1/2 (* x x)) (sqrt 1.0)))) (- (fma (sqrt -1) x (/ (/ 0.5 x) (sqrt -1))) (/ 0.125 (* (- (sqrt -1)) (pow x 3)))) (- (/ 0.125 (* (- (sqrt -1)) (pow x 3))) (fma (sqrt -1) x (/ (/ 0.5 x) (sqrt -1)))) 5.344 * * * [progress]: adding candidates to table 5.751 * * [progress]: iteration 4 / 4 5.751 * * * [progress]: picking best candidate 5.759 * * * * [pick]: Picked # 5.759 * * * [progress]: localizing error 5.790 * * * [progress]: generating rewritten candidates 5.790 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 1) 5.826 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 5.916 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2) 5.925 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1 2) 5.949 * * * [progress]: generating series expansions 5.949 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 1) 5.949 * [backup-simplify]: Simplify (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) into (pow (+ x 1.0) 1/3) 5.950 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in (x) around 0 5.950 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in x 5.950 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 5.950 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 5.950 * [taylor]: Taking taylor expansion of 1/3 in x 5.950 * [backup-simplify]: Simplify 1/3 into 1/3 5.950 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 5.950 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 5.950 * [taylor]: Taking taylor expansion of x in x 5.950 * [backup-simplify]: Simplify 0 into 0 5.950 * [backup-simplify]: Simplify 1 into 1 5.950 * [taylor]: Taking taylor expansion of 1.0 in x 5.950 * [backup-simplify]: Simplify 1.0 into 1.0 5.951 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.951 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.952 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 5.954 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 5.954 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in x 5.954 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 5.954 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 5.954 * [taylor]: Taking taylor expansion of 1/3 in x 5.954 * [backup-simplify]: Simplify 1/3 into 1/3 5.954 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 5.954 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 5.954 * [taylor]: Taking taylor expansion of x in x 5.954 * [backup-simplify]: Simplify 0 into 0 5.954 * [backup-simplify]: Simplify 1 into 1 5.954 * [taylor]: Taking taylor expansion of 1.0 in x 5.954 * [backup-simplify]: Simplify 1.0 into 1.0 5.955 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.955 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.956 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 5.958 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 5.958 * [backup-simplify]: Simplify (pow 1.0 1/3) into (pow 1.0 1/3) 5.960 * [backup-simplify]: Simplify (+ 1 0) into 1 5.965 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 5.967 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (log 1.0))) into 0.3333333333333333 5.972 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow 1.0 1/3)) 5.973 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow 1.0 1/3)) into (* 0.3333333333333333 (pow 1.0 1/3)) 5.974 * [backup-simplify]: Simplify (+ 0 0) into 0 5.980 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 5.982 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (log 1.0)))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 5.991 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (pow 1.0 1/3) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 5.994 * [backup-simplify]: Simplify (* (pow 1.0 1/3) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (pow 1.0 1/3) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 5.998 * [backup-simplify]: Simplify (+ (* (* (pow 1.0 1/3) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow x 2)) (+ (* (* 0.3333333333333333 (pow 1.0 1/3)) x) (pow 1.0 1/3))) into (- (+ (* 0.05555555555555555 (* (pow x 2) (pow 1.0 1/3))) (+ (* 0.3333333333333333 (* x (pow 1.0 1/3))) (pow 1.0 1/3))) (* 1/6 (* (pow x 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) 5.999 * [backup-simplify]: Simplify (* (cbrt (sqrt (+ 1.0 (/ 1 x)))) (cbrt (sqrt (+ 1.0 (/ 1 x))))) into (pow (+ (/ 1 x) 1.0) 1/3) 5.999 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 1/3) in (x) around 0 5.999 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 1/3) in x 5.999 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 x) 1.0)))) in x 5.999 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 x) 1.0))) in x 5.999 * [taylor]: Taking taylor expansion of 1/3 in x 5.999 * [backup-simplify]: Simplify 1/3 into 1/3 5.999 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 5.999 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 5.999 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.999 * [taylor]: Taking taylor expansion of x in x 5.999 * [backup-simplify]: Simplify 0 into 0 5.999 * [backup-simplify]: Simplify 1 into 1 5.999 * [backup-simplify]: Simplify (/ 1 1) into 1 5.999 * [taylor]: Taking taylor expansion of 1.0 in x 5.999 * [backup-simplify]: Simplify 1.0 into 1.0 5.999 * [backup-simplify]: Simplify (+ 1 0) into 1 6.000 * [backup-simplify]: Simplify (log 1) into 0 6.000 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 6.000 * [backup-simplify]: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) 6.000 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) 6.000 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 1/3) in x 6.000 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 x) 1.0)))) in x 6.000 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 x) 1.0))) in x 6.000 * [taylor]: Taking taylor expansion of 1/3 in x 6.000 * [backup-simplify]: Simplify 1/3 into 1/3 6.000 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 6.000 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 6.000 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.000 * [taylor]: Taking taylor expansion of x in x 6.000 * [backup-simplify]: Simplify 0 into 0 6.000 * [backup-simplify]: Simplify 1 into 1 6.001 * [backup-simplify]: Simplify (/ 1 1) into 1 6.001 * [taylor]: Taking taylor expansion of 1.0 in x 6.001 * [backup-simplify]: Simplify 1.0 into 1.0 6.001 * [backup-simplify]: Simplify (+ 1 0) into 1 6.001 * [backup-simplify]: Simplify (log 1) into 0 6.001 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 6.001 * [backup-simplify]: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) 6.002 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) 6.002 * [backup-simplify]: Simplify (pow x -1/3) into (pow x -1/3) 6.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.002 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.009 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 6.009 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 6.010 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log x)))) into 0.3333333333333333 6.012 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 x) 1/3)) 6.012 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 x) 1/3)) into (* 0.3333333333333333 (pow (/ 1 x) 1/3)) 6.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.014 * [backup-simplify]: Simplify (+ 0 0) into 0 6.021 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 6.021 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 6.022 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (log x))))) into (- 0.16666666666666666) 6.025 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 x) 1/3)) 6.025 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 x) 1/3)) into (* -0.1111111111111111 (pow (/ 1 x) 1/3)) 6.025 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (/ 1 x)) 1/3)) (pow (/ 1 x) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (/ 1 x)) 1/3)) (/ 1 x)) (pow (/ 1 x) -1/3))) into (- (+ (* 0.3333333333333333 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 0.1111111111111111 (pow (/ 1 (pow x 5)) 1/3))) 6.026 * [backup-simplify]: Simplify (* (cbrt (sqrt (+ 1.0 (/ 1 (- x))))) (cbrt (sqrt (+ 1.0 (/ 1 (- x)))))) into (pow (- 1.0 (/ 1 x)) 1/3) 6.026 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in (x) around 0 6.026 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in x 6.026 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 x))))) in x 6.026 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 x)))) in x 6.026 * [taylor]: Taking taylor expansion of 1/3 in x 6.026 * [backup-simplify]: Simplify 1/3 into 1/3 6.026 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 6.026 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.026 * [taylor]: Taking taylor expansion of 1.0 in x 6.026 * [backup-simplify]: Simplify 1.0 into 1.0 6.026 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.026 * [taylor]: Taking taylor expansion of x in x 6.026 * [backup-simplify]: Simplify 0 into 0 6.026 * [backup-simplify]: Simplify 1 into 1 6.026 * [backup-simplify]: Simplify (/ 1 1) into 1 6.026 * [backup-simplify]: Simplify (- 1) into -1 6.027 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.027 * [backup-simplify]: Simplify (log -1) into (log -1) 6.027 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 6.028 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) 6.028 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) 6.028 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in x 6.028 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 x))))) in x 6.028 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 x)))) in x 6.028 * [taylor]: Taking taylor expansion of 1/3 in x 6.028 * [backup-simplify]: Simplify 1/3 into 1/3 6.028 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 6.028 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.028 * [taylor]: Taking taylor expansion of 1.0 in x 6.028 * [backup-simplify]: Simplify 1.0 into 1.0 6.028 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.028 * [taylor]: Taking taylor expansion of x in x 6.028 * [backup-simplify]: Simplify 0 into 0 6.028 * [backup-simplify]: Simplify 1 into 1 6.029 * [backup-simplify]: Simplify (/ 1 1) into 1 6.029 * [backup-simplify]: Simplify (- 1) into -1 6.029 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.029 * [backup-simplify]: Simplify (log -1) into (log -1) 6.030 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 6.030 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) 6.030 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) 6.031 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) 6.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.035 * [backup-simplify]: Simplify (- 0) into 0 6.035 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.039 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 6.040 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 6.040 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (log x)))) into (- 0.3333333333333333) 6.042 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log x))))) 6.043 * [backup-simplify]: Simplify (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log x))))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log x))))) 6.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.044 * [backup-simplify]: Simplify (- 0) into 0 6.044 * [backup-simplify]: Simplify (+ 0 0) into 0 6.053 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 6.053 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 6.055 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log x))))) into (- 0.16666666666666666) 6.062 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log x))))) 6.063 * [backup-simplify]: Simplify (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log x))))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log x))))) 6.065 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log (/ 1 (- x))))))) (pow (/ 1 (- x)) 2)) (+ (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log (/ 1 (- x))))))) (/ 1 (- x))) (exp (* 1/3 (- (log -1) (log (/ 1 (- x)))))))) into (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2)))) 6.065 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 6.065 * [backup-simplify]: Simplify (* (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x)))) into (sqrt (+ x 1.0)) 6.066 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 6.066 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 6.066 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.066 * [taylor]: Taking taylor expansion of x in x 6.066 * [backup-simplify]: Simplify 0 into 0 6.066 * [backup-simplify]: Simplify 1 into 1 6.066 * [taylor]: Taking taylor expansion of 1.0 in x 6.066 * [backup-simplify]: Simplify 1.0 into 1.0 6.066 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.067 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.067 * [backup-simplify]: Simplify (+ 1 0) into 1 6.069 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 6.069 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 6.069 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.069 * [taylor]: Taking taylor expansion of x in x 6.069 * [backup-simplify]: Simplify 0 into 0 6.069 * [backup-simplify]: Simplify 1 into 1 6.069 * [taylor]: Taking taylor expansion of 1.0 in x 6.069 * [backup-simplify]: Simplify 1.0 into 1.0 6.069 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.070 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.070 * [backup-simplify]: Simplify (+ 1 0) into 1 6.072 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 6.072 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.073 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 6.074 * [backup-simplify]: Simplify (+ 0 0) into 0 6.079 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 6.081 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 6.084 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 2)) (+ (* (/ 1/2 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) 6.085 * [backup-simplify]: Simplify (* (* (cbrt (sqrt (+ 1.0 (/ 1 x)))) (cbrt (sqrt (+ 1.0 (/ 1 x))))) (cbrt (sqrt (+ 1.0 (/ 1 x))))) into (sqrt (+ (/ 1 x) 1.0)) 6.085 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 6.085 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 6.085 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 6.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.085 * [taylor]: Taking taylor expansion of x in x 6.085 * [backup-simplify]: Simplify 0 into 0 6.085 * [backup-simplify]: Simplify 1 into 1 6.085 * [backup-simplify]: Simplify (/ 1 1) into 1 6.085 * [taylor]: Taking taylor expansion of 1.0 in x 6.085 * [backup-simplify]: Simplify 1.0 into 1.0 6.086 * [backup-simplify]: Simplify (+ 1 0) into 1 6.086 * [backup-simplify]: Simplify (sqrt 0) into 0 6.088 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.088 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 6.088 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 6.088 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.088 * [taylor]: Taking taylor expansion of x in x 6.088 * [backup-simplify]: Simplify 0 into 0 6.088 * [backup-simplify]: Simplify 1 into 1 6.088 * [backup-simplify]: Simplify (/ 1 1) into 1 6.088 * [taylor]: Taking taylor expansion of 1.0 in x 6.088 * [backup-simplify]: Simplify 1.0 into 1.0 6.089 * [backup-simplify]: Simplify (+ 1 0) into 1 6.089 * [backup-simplify]: Simplify (sqrt 0) into 0 6.091 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.091 * [backup-simplify]: Simplify 0 into 0 6.091 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.092 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.095 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.095 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.097 * [backup-simplify]: Simplify (+ 0 0) into 0 6.101 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.101 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.101 * [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))))) 6.101 * [backup-simplify]: Simplify (* (* (cbrt (sqrt (+ 1.0 (/ 1 (- x))))) (cbrt (sqrt (+ 1.0 (/ 1 (- x)))))) (cbrt (sqrt (+ 1.0 (/ 1 (- x)))))) into (sqrt (- 1.0 (/ 1 x))) 6.102 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 6.102 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 6.102 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.102 * [taylor]: Taking taylor expansion of 1.0 in x 6.102 * [backup-simplify]: Simplify 1.0 into 1.0 6.102 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.102 * [taylor]: Taking taylor expansion of x in x 6.102 * [backup-simplify]: Simplify 0 into 0 6.102 * [backup-simplify]: Simplify 1 into 1 6.102 * [backup-simplify]: Simplify (/ 1 1) into 1 6.103 * [backup-simplify]: Simplify (- 1) into -1 6.103 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.104 * [backup-simplify]: Simplify (sqrt 0) into 0 6.105 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.105 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 6.105 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.105 * [taylor]: Taking taylor expansion of 1.0 in x 6.105 * [backup-simplify]: Simplify 1.0 into 1.0 6.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.105 * [taylor]: Taking taylor expansion of x in x 6.105 * [backup-simplify]: Simplify 0 into 0 6.105 * [backup-simplify]: Simplify 1 into 1 6.105 * [backup-simplify]: Simplify (/ 1 1) into 1 6.106 * [backup-simplify]: Simplify (- 1) into -1 6.106 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.107 * [backup-simplify]: Simplify (sqrt 0) into 0 6.108 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.108 * [backup-simplify]: Simplify 0 into 0 6.108 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.110 * [backup-simplify]: Simplify (- 0) into 0 6.110 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.113 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.113 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.115 * [backup-simplify]: Simplify (- 0) into 0 6.115 * [backup-simplify]: Simplify (+ 0 0) into 0 6.119 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.119 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.119 * [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))))) 6.120 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2) 6.120 * [backup-simplify]: Simplify (cbrt (sqrt (+ 1.0 x))) into (pow (+ x 1.0) 1/6) 6.120 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/6) in (x) around 0 6.120 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/6) in x 6.120 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ x 1.0)))) in x 6.120 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ x 1.0))) in x 6.120 * [taylor]: Taking taylor expansion of 1/6 in x 6.120 * [backup-simplify]: Simplify 1/6 into 1/6 6.120 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 6.120 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.120 * [taylor]: Taking taylor expansion of x in x 6.120 * [backup-simplify]: Simplify 0 into 0 6.120 * [backup-simplify]: Simplify 1 into 1 6.120 * [taylor]: Taking taylor expansion of 1.0 in x 6.120 * [backup-simplify]: Simplify 1.0 into 1.0 6.121 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.121 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.122 * [backup-simplify]: Simplify (* 1/6 (log 1.0)) into (* 1/6 (log 1.0)) 6.123 * [backup-simplify]: Simplify (exp (* 1/6 (log 1.0))) into (pow 1.0 1/6) 6.123 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/6) in x 6.124 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ x 1.0)))) in x 6.124 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ x 1.0))) in x 6.124 * [taylor]: Taking taylor expansion of 1/6 in x 6.124 * [backup-simplify]: Simplify 1/6 into 1/6 6.124 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 6.124 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.124 * [taylor]: Taking taylor expansion of x in x 6.124 * [backup-simplify]: Simplify 0 into 0 6.124 * [backup-simplify]: Simplify 1 into 1 6.124 * [taylor]: Taking taylor expansion of 1.0 in x 6.124 * [backup-simplify]: Simplify 1.0 into 1.0 6.124 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.125 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.126 * [backup-simplify]: Simplify (* 1/6 (log 1.0)) into (* 1/6 (log 1.0)) 6.127 * [backup-simplify]: Simplify (exp (* 1/6 (log 1.0))) into (pow 1.0 1/6) 6.128 * [backup-simplify]: Simplify (pow 1.0 1/6) into (pow 1.0 1/6) 6.128 * [backup-simplify]: Simplify (+ 1 0) into 1 6.134 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 6.135 * [backup-simplify]: Simplify (+ (* 1/6 1.0) (* 0 (log 1.0))) into 0.16666666666666666 6.141 * [backup-simplify]: Simplify (* (exp (* 1/6 (log 1.0))) (+ (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.16666666666666666 (pow 1.0 1/6)) 6.142 * [backup-simplify]: Simplify (* 0.16666666666666666 (pow 1.0 1/6)) into (* 0.16666666666666666 (pow 1.0 1/6)) 6.143 * [backup-simplify]: Simplify (+ 0 0) into 0 6.149 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 6.152 * [backup-simplify]: Simplify (+ (* 1/6 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (log 1.0)))) into (- (* 1/12 (/ 1 (pow 1.0 2)))) 6.163 * [backup-simplify]: Simplify (* (exp (* 1/6 (log 1.0))) (+ (* (/ (pow 0.16666666666666666 2) 2)) (* (/ (pow (- (* 1/12 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.013888888888888888 (* 1/12 (/ 1 (pow 1.0 2)))) (pow 1.0 1/6)) 6.166 * [backup-simplify]: Simplify (* (- 0.013888888888888888 (* 1/12 (/ 1 (pow 1.0 2)))) (pow 1.0 1/6)) into (* (- 0.013888888888888888 (* 1/12 (/ 1 (pow 1.0 2)))) (pow 1.0 1/6)) 6.170 * [backup-simplify]: Simplify (+ (* (* (- 0.013888888888888888 (* 1/12 (/ 1 (pow 1.0 2)))) (pow 1.0 1/6)) (pow x 2)) (+ (* (* 0.16666666666666666 (pow 1.0 1/6)) x) (pow 1.0 1/6))) into (- (+ (* 0.013888888888888888 (* (pow x 2) (pow 1.0 1/6))) (+ (pow 1.0 1/6) (* 0.16666666666666666 (* x (pow 1.0 1/6))))) (* 1/12 (* (pow x 2) (pow (/ 1 (pow 1.0 11)) 1/6)))) 6.170 * [backup-simplify]: Simplify (cbrt (sqrt (+ 1.0 (/ 1 x)))) into (pow (+ (/ 1 x) 1.0) 1/6) 6.170 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 1/6) in (x) around 0 6.170 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 1/6) in x 6.170 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 x) 1.0)))) in x 6.170 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 x) 1.0))) in x 6.170 * [taylor]: Taking taylor expansion of 1/6 in x 6.170 * [backup-simplify]: Simplify 1/6 into 1/6 6.170 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 6.170 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 6.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.170 * [taylor]: Taking taylor expansion of x in x 6.170 * [backup-simplify]: Simplify 0 into 0 6.170 * [backup-simplify]: Simplify 1 into 1 6.170 * [backup-simplify]: Simplify (/ 1 1) into 1 6.170 * [taylor]: Taking taylor expansion of 1.0 in x 6.171 * [backup-simplify]: Simplify 1.0 into 1.0 6.171 * [backup-simplify]: Simplify (+ 1 0) into 1 6.171 * [backup-simplify]: Simplify (log 1) into 0 6.171 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 6.171 * [backup-simplify]: Simplify (* 1/6 (- (log x))) into (* -1/6 (log x)) 6.171 * [backup-simplify]: Simplify (exp (* -1/6 (log x))) into (pow x -1/6) 6.171 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 1/6) in x 6.171 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 x) 1.0)))) in x 6.172 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 x) 1.0))) in x 6.172 * [taylor]: Taking taylor expansion of 1/6 in x 6.172 * [backup-simplify]: Simplify 1/6 into 1/6 6.172 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 6.172 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 6.172 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.172 * [taylor]: Taking taylor expansion of x in x 6.172 * [backup-simplify]: Simplify 0 into 0 6.172 * [backup-simplify]: Simplify 1 into 1 6.172 * [backup-simplify]: Simplify (/ 1 1) into 1 6.172 * [taylor]: Taking taylor expansion of 1.0 in x 6.172 * [backup-simplify]: Simplify 1.0 into 1.0 6.172 * [backup-simplify]: Simplify (+ 1 0) into 1 6.172 * [backup-simplify]: Simplify (log 1) into 0 6.173 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 6.173 * [backup-simplify]: Simplify (* 1/6 (- (log x))) into (* -1/6 (log x)) 6.173 * [backup-simplify]: Simplify (exp (* -1/6 (log x))) into (pow x -1/6) 6.173 * [backup-simplify]: Simplify (pow x -1/6) into (pow x -1/6) 6.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.174 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.177 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 6.178 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 6.178 * [backup-simplify]: Simplify (+ (* 1/6 1.0) (* 0 (- (log x)))) into 0.16666666666666666 6.180 * [backup-simplify]: Simplify (* (exp (* -1/6 (log x))) (+ (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.16666666666666666 (pow (/ 1 x) 1/6)) 6.180 * [backup-simplify]: Simplify (* 0.16666666666666666 (pow (/ 1 x) 1/6)) into (* 0.16666666666666666 (pow (/ 1 x) 1/6)) 6.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.181 * [backup-simplify]: Simplify (+ 0 0) into 0 6.187 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 6.187 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 6.188 * [backup-simplify]: Simplify (+ (* 1/6 -0.5) (+ (* 0 1.0) (* 0 (- (log x))))) into (- 0.08333333333333333) 6.191 * [backup-simplify]: Simplify (* (exp (* -1/6 (log x))) (+ (* (/ (pow 0.16666666666666666 2) 2)) (* (/ (pow (- 0.08333333333333333) 1) 1)))) into (* -0.06944444444444445 (pow (/ 1 x) 1/6)) 6.191 * [backup-simplify]: Simplify (* -0.06944444444444445 (pow (/ 1 x) 1/6)) into (* -0.06944444444444445 (pow (/ 1 x) 1/6)) 6.192 * [backup-simplify]: Simplify (+ (* (* -0.06944444444444445 (pow (/ 1 (/ 1 x)) 1/6)) (pow (/ 1 x) 2)) (+ (* (* 0.16666666666666666 (pow (/ 1 (/ 1 x)) 1/6)) (/ 1 x)) (pow (/ 1 x) -1/6))) into (- (+ (* 0.16666666666666666 (pow (/ 1 (pow x 5)) 1/6)) (pow (/ 1 x) -1/6)) (* 0.06944444444444445 (pow (/ 1 (pow x 11)) 1/6))) 6.192 * [backup-simplify]: Simplify (cbrt (sqrt (+ 1.0 (/ 1 (- x))))) into (pow (- 1.0 (/ 1 x)) 1/6) 6.192 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/6) in (x) around 0 6.192 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/6) in x 6.192 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 x))))) in x 6.192 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 x)))) in x 6.192 * [taylor]: Taking taylor expansion of 1/6 in x 6.192 * [backup-simplify]: Simplify 1/6 into 1/6 6.192 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 6.192 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.192 * [taylor]: Taking taylor expansion of 1.0 in x 6.192 * [backup-simplify]: Simplify 1.0 into 1.0 6.192 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.192 * [taylor]: Taking taylor expansion of x in x 6.192 * [backup-simplify]: Simplify 0 into 0 6.192 * [backup-simplify]: Simplify 1 into 1 6.193 * [backup-simplify]: Simplify (/ 1 1) into 1 6.193 * [backup-simplify]: Simplify (- 1) into -1 6.193 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.193 * [backup-simplify]: Simplify (log -1) into (log -1) 6.194 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 6.194 * [backup-simplify]: Simplify (* 1/6 (- (log -1) (log x))) into (* 1/6 (- (log -1) (log x))) 6.194 * [backup-simplify]: Simplify (exp (* 1/6 (- (log -1) (log x)))) into (exp (* 1/6 (- (log -1) (log x)))) 6.195 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/6) in x 6.195 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 x))))) in x 6.195 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 x)))) in x 6.195 * [taylor]: Taking taylor expansion of 1/6 in x 6.195 * [backup-simplify]: Simplify 1/6 into 1/6 6.195 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 6.195 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.195 * [taylor]: Taking taylor expansion of 1.0 in x 6.195 * [backup-simplify]: Simplify 1.0 into 1.0 6.195 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.195 * [taylor]: Taking taylor expansion of x in x 6.195 * [backup-simplify]: Simplify 0 into 0 6.195 * [backup-simplify]: Simplify 1 into 1 6.195 * [backup-simplify]: Simplify (/ 1 1) into 1 6.195 * [backup-simplify]: Simplify (- 1) into -1 6.196 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.196 * [backup-simplify]: Simplify (log -1) into (log -1) 6.197 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 6.197 * [backup-simplify]: Simplify (* 1/6 (- (log -1) (log x))) into (* 1/6 (- (log -1) (log x))) 6.198 * [backup-simplify]: Simplify (exp (* 1/6 (- (log -1) (log x)))) into (exp (* 1/6 (- (log -1) (log x)))) 6.198 * [backup-simplify]: Simplify (exp (* 1/6 (- (log -1) (log x)))) into (exp (* 1/6 (- (log -1) (log x)))) 6.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.200 * [backup-simplify]: Simplify (- 0) into 0 6.200 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.207 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 6.208 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 6.209 * [backup-simplify]: Simplify (+ (* 1/6 -1.0) (* 0 (- (log -1) (log x)))) into (- 0.16666666666666666) 6.213 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log -1) (log x)))) (+ (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.16666666666666666 (exp (* 1/6 (- (log -1) (log x))))) 6.213 * [backup-simplify]: Simplify (* -0.16666666666666666 (exp (* 1/6 (- (log -1) (log x))))) into (* -0.16666666666666666 (exp (* 1/6 (- (log -1) (log x))))) 6.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.215 * [backup-simplify]: Simplify (- 0) into 0 6.215 * [backup-simplify]: Simplify (+ 0 0) into 0 6.227 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 6.228 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 6.229 * [backup-simplify]: Simplify (+ (* 1/6 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log x))))) into (- 0.08333333333333333) 6.236 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log -1) (log x)))) (+ (* (/ (pow (- 0.16666666666666666) 2) 2)) (* (/ (pow (- 0.08333333333333333) 1) 1)))) into (* -0.06944444444444445 (exp (* 1/6 (- (log -1) (log x))))) 6.237 * [backup-simplify]: Simplify (* -0.06944444444444445 (exp (* 1/6 (- (log -1) (log x))))) into (* -0.06944444444444445 (exp (* 1/6 (- (log -1) (log x))))) 6.239 * [backup-simplify]: Simplify (+ (* (* -0.06944444444444445 (exp (* 1/6 (- (log -1) (log (/ 1 (- x))))))) (pow (/ 1 (- x)) 2)) (+ (* (* -0.16666666666666666 (exp (* 1/6 (- (log -1) (log (/ 1 (- x))))))) (/ 1 (- x))) (exp (* 1/6 (- (log -1) (log (/ 1 (- x)))))))) into (- (+ (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (* 0.16666666666666666 (/ (exp (* 1/6 (- (log -1) (log (/ -1 x))))) x))) (* 0.06944444444444445 (/ (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (pow x 2)))) 6.239 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1 2) 6.239 * [backup-simplify]: Simplify (cbrt (sqrt (+ 1.0 x))) into (pow (+ x 1.0) 1/6) 6.239 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/6) in (x) around 0 6.239 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/6) in x 6.239 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ x 1.0)))) in x 6.239 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ x 1.0))) in x 6.239 * [taylor]: Taking taylor expansion of 1/6 in x 6.239 * [backup-simplify]: Simplify 1/6 into 1/6 6.239 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 6.239 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.239 * [taylor]: Taking taylor expansion of x in x 6.239 * [backup-simplify]: Simplify 0 into 0 6.239 * [backup-simplify]: Simplify 1 into 1 6.239 * [taylor]: Taking taylor expansion of 1.0 in x 6.239 * [backup-simplify]: Simplify 1.0 into 1.0 6.240 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.240 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.241 * [backup-simplify]: Simplify (* 1/6 (log 1.0)) into (* 1/6 (log 1.0)) 6.242 * [backup-simplify]: Simplify (exp (* 1/6 (log 1.0))) into (pow 1.0 1/6) 6.242 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/6) in x 6.243 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ x 1.0)))) in x 6.243 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ x 1.0))) in x 6.243 * [taylor]: Taking taylor expansion of 1/6 in x 6.243 * [backup-simplify]: Simplify 1/6 into 1/6 6.243 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 6.243 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.243 * [taylor]: Taking taylor expansion of x in x 6.243 * [backup-simplify]: Simplify 0 into 0 6.243 * [backup-simplify]: Simplify 1 into 1 6.243 * [taylor]: Taking taylor expansion of 1.0 in x 6.243 * [backup-simplify]: Simplify 1.0 into 1.0 6.243 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.244 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.244 * [backup-simplify]: Simplify (* 1/6 (log 1.0)) into (* 1/6 (log 1.0)) 6.246 * [backup-simplify]: Simplify (exp (* 1/6 (log 1.0))) into (pow 1.0 1/6) 6.247 * [backup-simplify]: Simplify (pow 1.0 1/6) into (pow 1.0 1/6) 6.247 * [backup-simplify]: Simplify (+ 1 0) into 1 6.253 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 6.254 * [backup-simplify]: Simplify (+ (* 1/6 1.0) (* 0 (log 1.0))) into 0.16666666666666666 6.260 * [backup-simplify]: Simplify (* (exp (* 1/6 (log 1.0))) (+ (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.16666666666666666 (pow 1.0 1/6)) 6.261 * [backup-simplify]: Simplify (* 0.16666666666666666 (pow 1.0 1/6)) into (* 0.16666666666666666 (pow 1.0 1/6)) 6.262 * [backup-simplify]: Simplify (+ 0 0) into 0 6.272 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 6.276 * [backup-simplify]: Simplify (+ (* 1/6 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (log 1.0)))) into (- (* 1/12 (/ 1 (pow 1.0 2)))) 6.294 * [backup-simplify]: Simplify (* (exp (* 1/6 (log 1.0))) (+ (* (/ (pow 0.16666666666666666 2) 2)) (* (/ (pow (- (* 1/12 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.013888888888888888 (* 1/12 (/ 1 (pow 1.0 2)))) (pow 1.0 1/6)) 6.299 * [backup-simplify]: Simplify (* (- 0.013888888888888888 (* 1/12 (/ 1 (pow 1.0 2)))) (pow 1.0 1/6)) into (* (- 0.013888888888888888 (* 1/12 (/ 1 (pow 1.0 2)))) (pow 1.0 1/6)) 6.306 * [backup-simplify]: Simplify (+ (* (* (- 0.013888888888888888 (* 1/12 (/ 1 (pow 1.0 2)))) (pow 1.0 1/6)) (pow x 2)) (+ (* (* 0.16666666666666666 (pow 1.0 1/6)) x) (pow 1.0 1/6))) into (- (+ (* 0.013888888888888888 (* (pow x 2) (pow 1.0 1/6))) (+ (pow 1.0 1/6) (* 0.16666666666666666 (* x (pow 1.0 1/6))))) (* 1/12 (* (pow x 2) (pow (/ 1 (pow 1.0 11)) 1/6)))) 6.306 * [backup-simplify]: Simplify (cbrt (sqrt (+ 1.0 (/ 1 x)))) into (pow (+ (/ 1 x) 1.0) 1/6) 6.306 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 1/6) in (x) around 0 6.306 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 1/6) in x 6.306 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 x) 1.0)))) in x 6.306 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 x) 1.0))) in x 6.307 * [taylor]: Taking taylor expansion of 1/6 in x 6.307 * [backup-simplify]: Simplify 1/6 into 1/6 6.307 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 6.307 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 6.307 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.307 * [taylor]: Taking taylor expansion of x in x 6.307 * [backup-simplify]: Simplify 0 into 0 6.307 * [backup-simplify]: Simplify 1 into 1 6.307 * [backup-simplify]: Simplify (/ 1 1) into 1 6.307 * [taylor]: Taking taylor expansion of 1.0 in x 6.307 * [backup-simplify]: Simplify 1.0 into 1.0 6.308 * [backup-simplify]: Simplify (+ 1 0) into 1 6.308 * [backup-simplify]: Simplify (log 1) into 0 6.308 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 6.309 * [backup-simplify]: Simplify (* 1/6 (- (log x))) into (* -1/6 (log x)) 6.309 * [backup-simplify]: Simplify (exp (* -1/6 (log x))) into (pow x -1/6) 6.309 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 1/6) in x 6.309 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 x) 1.0)))) in x 6.309 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 x) 1.0))) in x 6.309 * [taylor]: Taking taylor expansion of 1/6 in x 6.309 * [backup-simplify]: Simplify 1/6 into 1/6 6.309 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 6.309 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 6.309 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.309 * [taylor]: Taking taylor expansion of x in x 6.309 * [backup-simplify]: Simplify 0 into 0 6.309 * [backup-simplify]: Simplify 1 into 1 6.310 * [backup-simplify]: Simplify (/ 1 1) into 1 6.310 * [taylor]: Taking taylor expansion of 1.0 in x 6.310 * [backup-simplify]: Simplify 1.0 into 1.0 6.310 * [backup-simplify]: Simplify (+ 1 0) into 1 6.310 * [backup-simplify]: Simplify (log 1) into 0 6.311 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 6.311 * [backup-simplify]: Simplify (* 1/6 (- (log x))) into (* -1/6 (log x)) 6.311 * [backup-simplify]: Simplify (exp (* -1/6 (log x))) into (pow x -1/6) 6.311 * [backup-simplify]: Simplify (pow x -1/6) into (pow x -1/6) 6.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.313 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.319 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 6.319 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 6.320 * [backup-simplify]: Simplify (+ (* 1/6 1.0) (* 0 (- (log x)))) into 0.16666666666666666 6.322 * [backup-simplify]: Simplify (* (exp (* -1/6 (log x))) (+ (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.16666666666666666 (pow (/ 1 x) 1/6)) 6.322 * [backup-simplify]: Simplify (* 0.16666666666666666 (pow (/ 1 x) 1/6)) into (* 0.16666666666666666 (pow (/ 1 x) 1/6)) 6.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.324 * [backup-simplify]: Simplify (+ 0 0) into 0 6.335 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 6.336 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 6.337 * [backup-simplify]: Simplify (+ (* 1/6 -0.5) (+ (* 0 1.0) (* 0 (- (log x))))) into (- 0.08333333333333333) 6.343 * [backup-simplify]: Simplify (* (exp (* -1/6 (log x))) (+ (* (/ (pow 0.16666666666666666 2) 2)) (* (/ (pow (- 0.08333333333333333) 1) 1)))) into (* -0.06944444444444445 (pow (/ 1 x) 1/6)) 6.343 * [backup-simplify]: Simplify (* -0.06944444444444445 (pow (/ 1 x) 1/6)) into (* -0.06944444444444445 (pow (/ 1 x) 1/6)) 6.344 * [backup-simplify]: Simplify (+ (* (* -0.06944444444444445 (pow (/ 1 (/ 1 x)) 1/6)) (pow (/ 1 x) 2)) (+ (* (* 0.16666666666666666 (pow (/ 1 (/ 1 x)) 1/6)) (/ 1 x)) (pow (/ 1 x) -1/6))) into (- (+ (* 0.16666666666666666 (pow (/ 1 (pow x 5)) 1/6)) (pow (/ 1 x) -1/6)) (* 0.06944444444444445 (pow (/ 1 (pow x 11)) 1/6))) 6.344 * [backup-simplify]: Simplify (cbrt (sqrt (+ 1.0 (/ 1 (- x))))) into (pow (- 1.0 (/ 1 x)) 1/6) 6.344 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/6) in (x) around 0 6.344 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/6) in x 6.344 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 x))))) in x 6.344 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 x)))) in x 6.344 * [taylor]: Taking taylor expansion of 1/6 in x 6.344 * [backup-simplify]: Simplify 1/6 into 1/6 6.344 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 6.344 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.344 * [taylor]: Taking taylor expansion of 1.0 in x 6.344 * [backup-simplify]: Simplify 1.0 into 1.0 6.344 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.344 * [taylor]: Taking taylor expansion of x in x 6.344 * [backup-simplify]: Simplify 0 into 0 6.344 * [backup-simplify]: Simplify 1 into 1 6.345 * [backup-simplify]: Simplify (/ 1 1) into 1 6.345 * [backup-simplify]: Simplify (- 1) into -1 6.346 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.346 * [backup-simplify]: Simplify (log -1) into (log -1) 6.347 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 6.347 * [backup-simplify]: Simplify (* 1/6 (- (log -1) (log x))) into (* 1/6 (- (log -1) (log x))) 6.348 * [backup-simplify]: Simplify (exp (* 1/6 (- (log -1) (log x)))) into (exp (* 1/6 (- (log -1) (log x)))) 6.348 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/6) in x 6.348 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 x))))) in x 6.348 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 x)))) in x 6.348 * [taylor]: Taking taylor expansion of 1/6 in x 6.348 * [backup-simplify]: Simplify 1/6 into 1/6 6.348 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 6.348 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.348 * [taylor]: Taking taylor expansion of 1.0 in x 6.348 * [backup-simplify]: Simplify 1.0 into 1.0 6.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.348 * [taylor]: Taking taylor expansion of x in x 6.348 * [backup-simplify]: Simplify 0 into 0 6.348 * [backup-simplify]: Simplify 1 into 1 6.349 * [backup-simplify]: Simplify (/ 1 1) into 1 6.349 * [backup-simplify]: Simplify (- 1) into -1 6.349 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.350 * [backup-simplify]: Simplify (log -1) into (log -1) 6.351 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 6.351 * [backup-simplify]: Simplify (* 1/6 (- (log -1) (log x))) into (* 1/6 (- (log -1) (log x))) 6.352 * [backup-simplify]: Simplify (exp (* 1/6 (- (log -1) (log x)))) into (exp (* 1/6 (- (log -1) (log x)))) 6.352 * [backup-simplify]: Simplify (exp (* 1/6 (- (log -1) (log x)))) into (exp (* 1/6 (- (log -1) (log x)))) 6.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.353 * [backup-simplify]: Simplify (- 0) into 0 6.354 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.358 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 6.359 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 6.360 * [backup-simplify]: Simplify (+ (* 1/6 -1.0) (* 0 (- (log -1) (log x)))) into (- 0.16666666666666666) 6.362 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log -1) (log x)))) (+ (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.16666666666666666 (exp (* 1/6 (- (log -1) (log x))))) 6.362 * [backup-simplify]: Simplify (* -0.16666666666666666 (exp (* 1/6 (- (log -1) (log x))))) into (* -0.16666666666666666 (exp (* 1/6 (- (log -1) (log x))))) 6.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.363 * [backup-simplify]: Simplify (- 0) into 0 6.363 * [backup-simplify]: Simplify (+ 0 0) into 0 6.370 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 6.370 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 6.371 * [backup-simplify]: Simplify (+ (* 1/6 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log x))))) into (- 0.08333333333333333) 6.376 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log -1) (log x)))) (+ (* (/ (pow (- 0.16666666666666666) 2) 2)) (* (/ (pow (- 0.08333333333333333) 1) 1)))) into (* -0.06944444444444445 (exp (* 1/6 (- (log -1) (log x))))) 6.376 * [backup-simplify]: Simplify (* -0.06944444444444445 (exp (* 1/6 (- (log -1) (log x))))) into (* -0.06944444444444445 (exp (* 1/6 (- (log -1) (log x))))) 6.378 * [backup-simplify]: Simplify (+ (* (* -0.06944444444444445 (exp (* 1/6 (- (log -1) (log (/ 1 (- x))))))) (pow (/ 1 (- x)) 2)) (+ (* (* -0.16666666666666666 (exp (* 1/6 (- (log -1) (log (/ 1 (- x))))))) (/ 1 (- x))) (exp (* 1/6 (- (log -1) (log (/ 1 (- x)))))))) into (- (+ (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (* 0.16666666666666666 (/ (exp (* 1/6 (- (log -1) (log (/ -1 x))))) x))) (* 0.06944444444444445 (/ (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (pow x 2)))) 6.378 * * * [progress]: simplifying candidates 6.385 * [simplify]: Simplifying: (expm1 (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (log1p (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (+ 1/3 1/3) (+ 1 1) (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (+ 1 1) (+ (log (cbrt (sqrt (+ 1.0 x)))) (log (cbrt (sqrt (+ 1.0 x))))) (log (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (exp (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (* (cbrt (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (cbrt (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))))) (cbrt (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (* (* (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (sqrt (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (sqrt (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (* (cbrt (sqrt (+ (pow 1.0 3) (pow x 3)))) (cbrt (sqrt (+ (pow 1.0 3) (pow x 3))))) (* (cbrt (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))) (cbrt (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))) (* (cbrt (sqrt (+ (pow 1.0 3) (pow x 3)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (* (cbrt (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))) (cbrt (sqrt (- 1.0 x)))) (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (+ (pow 1.0 3) (pow x 3))))) (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))) (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (* (cbrt (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (cbrt (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))))) (* (cbrt (cbrt (sqrt (+ 1.0 x)))) (cbrt (cbrt (sqrt (+ 1.0 x))))) (* (cbrt (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (cbrt (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))))) (* (cbrt (sqrt (cbrt (+ 1.0 x)))) (cbrt (sqrt (cbrt (+ 1.0 x))))) (* (cbrt (sqrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (sqrt (+ 1.0 x))))) (* (cbrt (sqrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (sqrt (+ 1.0 x))))) (* (cbrt (sqrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (sqrt (+ 1.0 x))))) (* (cbrt (sqrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (sqrt (+ 1.0 x))))) (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (* (cbrt (sqrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (sqrt (+ 1.0 x))))) (* (cbrt (sqrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (sqrt (+ 1.0 x))))) (* (cbrt (sqrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (sqrt (+ 1.0 x))))) (* (cbrt (sqrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (sqrt (+ 1.0 x))))) (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (* (* (cbrt (cbrt (sqrt (+ 1.0 x)))) (cbrt (cbrt (sqrt (+ 1.0 x))))) (* (cbrt (cbrt (sqrt (+ 1.0 x)))) (cbrt (cbrt (sqrt (+ 1.0 x)))))) (* (cbrt (cbrt (sqrt (+ 1.0 x)))) (cbrt (cbrt (sqrt (+ 1.0 x))))) (* (sqrt (cbrt (sqrt (+ 1.0 x)))) (sqrt (cbrt (sqrt (+ 1.0 x))))) (* (sqrt (cbrt (sqrt (+ 1.0 x)))) (sqrt (cbrt (sqrt (+ 1.0 x))))) (* 1 1) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (* (cbrt (sqrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (sqrt (+ 1.0 x))))) (* (cbrt (sqrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (sqrt (+ 1.0 x))))) (* (cbrt (sqrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (sqrt (+ 1.0 x))))) (* (cbrt (sqrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (sqrt (+ 1.0 x))))) (* (cbrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (cbrt (sqrt (+ 1.0 x))))) (* (cbrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (cbrt (sqrt (+ 1.0 x))))) (* (cbrt (sqrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (sqrt (+ 1.0 x))))) (* (cbrt (sqrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (sqrt (+ 1.0 x))))) (* (cbrt (sqrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (sqrt (+ 1.0 x))))) (* (cbrt (sqrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (sqrt (+ 1.0 x))))) (* (cbrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (cbrt (sqrt (+ 1.0 x))))) (* (cbrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (cbrt (sqrt (+ 1.0 x))))) (* (sqrt (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (cbrt (sqrt (+ 1.0 x)))) (sqrt (cbrt (sqrt (+ 1.0 x))))) (* (sqrt (cbrt (sqrt (+ 1.0 x)))) (sqrt (cbrt (sqrt (+ 1.0 x))))) (* 2 1/3) (* 2 1) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (sqrt (+ 1.0 x))))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt 1))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt 1))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (sqrt (+ 1.0 x))))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt 1)) (* (cbrt (sqrt (+ 1.0 x))) (* (cbrt (cbrt (sqrt (+ 1.0 x)))) (cbrt (cbrt (sqrt (+ 1.0 x)))))) (* (cbrt (sqrt (+ 1.0 x))) (sqrt (cbrt (sqrt (+ 1.0 x))))) (* (cbrt (sqrt (+ 1.0 x))) 1) (* (cbrt (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x)))) (* (cbrt (sqrt (cbrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x)))) (* (cbrt (sqrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x)))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (* (cbrt (sqrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x)))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (* (cbrt (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x)))) (* (sqrt (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x)))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ (pow 1.0 3) (pow x 3))))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (* (cbrt (sqrt (+ (pow 1.0 3) (pow x 3)))) (cbrt (sqrt (+ 1.0 x)))) (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (+ 1.0 x)))) (expm1 (* (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))))) (log1p (* (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))))) (+ (+ 1/3 1/3) 1/3) (+ (+ 1 1) 1) (+ 2 1) (+ (+ 1 1) 1) (+ (* 2 1/3) 1/3) (+ (* 2 1) 1) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x))) (* (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x)))) (* (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x)))) (+ (+ 1 1) 1) (+ 2 1) (+ (+ 1 1) 1) (+ (* 2 1) 1) (+ (+ (log (cbrt (sqrt (+ 1.0 x)))) (log (cbrt (sqrt (+ 1.0 x))))) (log (cbrt (sqrt (+ 1.0 x))))) (+ (log (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (log (cbrt (sqrt (+ 1.0 x))))) (log (* (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))))) (exp (* (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))))) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x))) (* (* (* (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (sqrt (+ 1.0 x))) (* (cbrt (* (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))))) (cbrt (* (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x)))))) (cbrt (* (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))))) (* (* (* (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x)))) (* (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))))) (* (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))))) (sqrt (* (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))))) (sqrt (* (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))))) (* (* (cbrt (sqrt (+ (pow 1.0 3) (pow x 3)))) (cbrt (sqrt (+ (pow 1.0 3) (pow x 3))))) (cbrt (sqrt (+ (pow 1.0 3) (pow x 3))))) (* (* (cbrt (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))) (cbrt (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))) (cbrt (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))) (* (* (cbrt (sqrt (+ (pow 1.0 3) (pow x 3)))) (cbrt (sqrt (+ (pow 1.0 3) (pow x 3))))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (* (* (cbrt (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))) (cbrt (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))) (cbrt (sqrt (- 1.0 x)))) (* (* (cbrt (sqrt (+ (pow 1.0 3) (pow x 3)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (cbrt (sqrt (+ (pow 1.0 3) (pow x 3))))) (* (* (cbrt (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))) (cbrt (sqrt (- 1.0 x)))) (cbrt (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))) (* (* (cbrt (sqrt (+ (pow 1.0 3) (pow x 3)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (* (* (cbrt (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))) (cbrt (sqrt (- 1.0 x)))) (cbrt (sqrt (- 1.0 x)))) (* (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (+ (pow 1.0 3) (pow x 3))))) (cbrt (sqrt (+ (pow 1.0 3) (pow x 3))))) (* (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))) (cbrt (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))) (* (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (+ (pow 1.0 3) (pow x 3))))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (* (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))) (cbrt (sqrt (- 1.0 x)))) (* (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (cbrt (sqrt (+ (pow 1.0 3) (pow x 3))))) (* (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (cbrt (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))) (* (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (* (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (cbrt (sqrt (- 1.0 x)))) (* (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ (pow 1.0 3) (pow x 3))))) (cbrt (sqrt (+ (pow 1.0 3) (pow x 3))))) (* (cbrt (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))) (cbrt (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))) (* (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ (pow 1.0 3) (pow x 3))))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (* (cbrt (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))) (cbrt (sqrt (- 1.0 x)))) (* (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (cbrt (sqrt (+ (pow 1.0 3) 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1/6))))) (* 1/12 (* (pow x 2) (pow (/ 1 (pow 1.0 11)) 1/6)))) (- (+ (* 0.16666666666666666 (pow (/ 1 (pow x 5)) 1/6)) (pow (/ 1 x) -1/6)) (* 0.06944444444444445 (pow (/ 1 (pow x 11)) 1/6))) (- (+ (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (* 0.16666666666666666 (/ (exp (* 1/6 (- (log -1) (log (/ -1 x))))) x))) (* 0.06944444444444445 (/ (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (pow x 2)))) (- (+ (* 0.013888888888888888 (* (pow x 2) (pow 1.0 1/6))) (+ (pow 1.0 1/6) (* 0.16666666666666666 (* x (pow 1.0 1/6))))) (* 1/12 (* (pow x 2) (pow (/ 1 (pow 1.0 11)) 1/6)))) (- (+ (* 0.16666666666666666 (pow (/ 1 (pow x 5)) 1/6)) (pow (/ 1 x) -1/6)) (* 0.06944444444444445 (pow (/ 1 (pow x 11)) 1/6))) (- (+ (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (* 0.16666666666666666 (/ (exp (* 1/6 (- (log -1) (log (/ -1 x))))) x))) (* 0.06944444444444445 (/ (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (pow x 2)))) 6.392 * * [simplify]: iteration 0: 254 enodes 6.526 * * [simplify]: iteration 1: 633 enodes 7.082 * * [simplify]: iteration 2: 4015 enodes 11.138 * * [simplify]: iteration complete: 5000 enodes 11.138 * * [simplify]: Extracting #0: cost 86 inf + 0 11.144 * * [simplify]: Extracting #1: cost 1421 inf + 4 11.155 * * [simplify]: Extracting #2: cost 1675 inf + 93 11.167 * * [simplify]: Extracting #3: cost 1633 inf + 802 11.179 * * [simplify]: Extracting #4: cost 1196 inf + 5776 11.190 * * [simplify]: Extracting #5: cost 411 inf + 16204 11.196 * * [simplify]: Extracting #6: cost 124 inf + 20166 11.202 * * [simplify]: Extracting #7: cost 27 inf + 21310 11.208 * * [simplify]: Extracting #8: cost 0 inf + 21788 11.217 * * [simplify]: Extracting #9: cost 0 inf + 21786 11.230 * [simplify]: Simplified to: (expm1 (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (log1p (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) 2/3 2 (+ 1.0 x) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) 2 (* 2 (log (cbrt (sqrt (+ 1.0 x))))) (* 2 (log (cbrt (sqrt (+ 1.0 x))))) (exp (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (+ 1.0 x) (* (cbrt (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (cbrt (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))))) (cbrt (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (pow (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) 3) (fabs (cbrt (sqrt (+ 1.0 x)))) (fabs (cbrt (sqrt (+ 1.0 x)))) (* (cbrt (hypot (pow 1.0 3/2) (pow x 3/2))) (cbrt (hypot (pow 1.0 3/2) (pow x 3/2)))) (* (cbrt (sqrt (fma x (- x 1.0) (* 1.0 1.0)))) (cbrt (sqrt (fma x (- x 1.0) (* 1.0 1.0))))) (* (cbrt (hypot (pow 1.0 3/2) (pow x 3/2))) (cbrt (sqrt (fma 1.0 1.0 (- (* x x)))))) (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (fma x (- x 1.0) (* 1.0 1.0))))) (* (cbrt (hypot (pow 1.0 3/2) (pow x 3/2))) (cbrt (sqrt (fma 1.0 1.0 (- (* x x)))))) (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (fma x (- x 1.0) (* 1.0 1.0))))) (* (cbrt (sqrt (fma 1.0 1.0 (- (* x x))))) (cbrt (sqrt (fma 1.0 1.0 (- (* x x)))))) (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (* (cbrt (* (cbrt (sqrt (+ 1.0 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x)))) 1 (cbrt (sqrt (+ 1.0 x))) (cbrt (hypot (pow 1.0 3/2) (pow x 3/2))) (cbrt (sqrt (fma x (- x 1.0) (* 1.0 1.0)))) (cbrt (sqrt (fma 1.0 1.0 (- (* x x))))) (cbrt (sqrt (- 1.0 x))) (* (cbrt (cbrt (sqrt (+ 1.0 x)))) (cbrt (cbrt (sqrt (+ 1.0 x))))) (cbrt (cbrt (sqrt (+ 1.0 x)))) (pow (cbrt (sqrt (+ 1.0 x))) 3) (sqrt (cbrt (sqrt (+ 1.0 x)))) (sqrt (cbrt (sqrt (+ 1.0 x)))) (fma -1/6 (* x (* x (cbrt (/ 1 (pow 1.0 5))))) (fma (cbrt 1.0) (fma (* 0.05555555555555555 x) x (* x 0.3333333333333333)) (cbrt 1.0))) (- (fma (cbrt (/ 1 (* x x))) 0.3333333333333333 (pow (/ 1 x) -1/3)) (* 0.1111111111111111 (cbrt (/ 1 (pow x 5))))) (fma (/ (pow (exp 1/3) (- (log -1) (log (/ -1 x)))) (* x x)) (- 0.1111111111111111) (fma (/ (pow (exp 1/3) (- (log -1) (log (/ -1 x)))) x) 0.3333333333333333 (pow (exp 1/3) (- (log -1) (log (/ -1 x)))))) (fma -1/8 (* (/ x (sqrt 1.0)) (/ x 1.0)) (fma (/ x (sqrt 1.0)) 1/2 (sqrt 1.0))) (+ (- (/ +nan.0 (* x x))) (- (/ +nan.0 x) +nan.0)) (+ (- (/ +nan.0 (* x x))) (- (/ +nan.0 x) +nan.0)) (fma (* (pow (/ 1 (pow 1.0 11)) 1/6) (* x x)) -1/12 (fma (pow 1.0 1/6) (* x 0.16666666666666666) (* (fma 0.013888888888888888 (* x x) 1) (pow 1.0 1/6)))) (fma (pow (/ 1 (pow x 11)) 1/6) (- 0.06944444444444445) (fma 0.16666666666666666 (pow (/ 1 (pow x 5)) 1/6) (pow (/ 1 x) -1/6))) (fma (/ (pow (exp 1/6) (- (log -1) (log (/ -1 x)))) (* x x)) (- 0.06944444444444445) (fma 0.16666666666666666 (/ (pow (exp 1/6) (- (log -1) (log (/ -1 x)))) x) (pow (exp 1/6) (- (log -1) (log (/ -1 x)))))) (fma (* (pow (/ 1 (pow 1.0 11)) 1/6) (* x x)) -1/12 (fma (pow 1.0 1/6) (* x 0.16666666666666666) (* (fma 0.013888888888888888 (* x x) 1) (pow 1.0 1/6)))) (fma (pow (/ 1 (pow x 11)) 1/6) (- 0.06944444444444445) (fma 0.16666666666666666 (pow (/ 1 (pow x 5)) 1/6) (pow (/ 1 x) -1/6))) (fma (/ (pow (exp 1/6) (- (log -1) (log (/ -1 x)))) (* x x)) (- 0.06944444444444445) (fma 0.16666666666666666 (/ (pow (exp 1/6) (- (log -1) (log (/ -1 x)))) x) (pow (exp 1/6) (- (log -1) (log (/ -1 x)))))) 11.233 * * * [progress]: adding candidates to table 12.356 * [progress]: [Phase 3 of 3] Extracting. 12.356 * * [regime]: Finding splitpoints for: (# #) 12.358 * * * [regime-changes]: Trying 1 branch expressions: (x) 12.358 * * * * [regimes]: Trying to branch on x from (# #) 12.409 * * * [regime]: Found split indices: #