0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.164 * * * [progress]: [2/2] Setting up program. 0.166 * [progress]: [Phase 2 of 3] Improving. 0.166 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.166 * [simplify]: Simplifying (log (+ x (sqrt (- (* x x) 1)))) 0.167 * * [simplify]: iters left: 6 (7 enodes) 0.169 * * [simplify]: iters left: 5 (30 enodes) 0.176 * * [simplify]: iters left: 4 (41 enodes) 0.184 * * [simplify]: iters left: 3 (57 enodes) 0.196 * * [simplify]: iters left: 2 (94 enodes) 0.211 * * [simplify]: iters left: 1 (136 enodes) 0.258 * * [simplify]: Extracting #0: cost 1 inf + 0 0.258 * * [simplify]: Extracting #1: cost 3 inf + 0 0.258 * * [simplify]: Extracting #2: cost 6 inf + 0 0.258 * * [simplify]: Extracting #3: cost 7 inf + 1 0.258 * * [simplify]: Extracting #4: cost 45 inf + 1 0.259 * * [simplify]: Extracting #5: cost 39 inf + 3054 0.260 * * [simplify]: Extracting #6: cost 2 inf + 6856 0.262 * * [simplify]: Extracting #7: cost 0 inf + 6820 0.264 * [simplify]: Simplified to (log (+ x (sqrt (- (* x x) 1)))) 0.264 * [simplify]: Simplified (2) to (λ (x) (log (+ x (sqrt (- (* x x) 1))))) 0.266 * * [progress]: iteration 1 / 4 0.266 * * * [progress]: picking best candidate 0.269 * * * * [pick]: Picked # 0.269 * * * [progress]: localizing error 0.293 * * * [progress]: generating rewritten candidates 0.293 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.303 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.316 * * * [progress]: generating series expansions 0.316 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.316 * [backup-simplify]: Simplify (sqrt (- (* x x) 1)) into (sqrt (- (pow x 2) 1)) 0.316 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) 1)) in (x) around 0 0.316 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1)) in x 0.316 * [taylor]: Taking taylor expansion of (- (pow x 2) 1) in x 0.316 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 1 into 1 0.316 * [taylor]: Taking taylor expansion of 1 in x 0.316 * [backup-simplify]: Simplify 1 into 1 0.317 * [backup-simplify]: Simplify (- 1) into -1 0.317 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.317 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.317 * [backup-simplify]: Simplify (- 0) into 0 0.318 * [backup-simplify]: Simplify (+ 0 0) into 0 0.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.318 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1)) in x 0.318 * [taylor]: Taking taylor expansion of (- (pow x 2) 1) in x 0.318 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 1 into 1 0.318 * [taylor]: Taking taylor expansion of 1 in x 0.318 * [backup-simplify]: Simplify 1 into 1 0.318 * [backup-simplify]: Simplify (- 1) into -1 0.319 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.319 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.319 * [backup-simplify]: Simplify (- 0) into 0 0.319 * [backup-simplify]: Simplify (+ 0 0) into 0 0.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.320 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.320 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify (* 1 1) into 1 0.321 * [backup-simplify]: Simplify (- 0) into 0 0.321 * [backup-simplify]: Simplify (+ 1 0) into 1 0.323 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 0.323 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 0.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.324 * [backup-simplify]: Simplify (- 0) into 0 0.324 * [backup-simplify]: Simplify (+ 0 0) into 0 0.325 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.325 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.326 * [backup-simplify]: Simplify (- 0) into 0 0.326 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ 1/8 (sqrt -1)) 0.329 * [backup-simplify]: Simplify (/ 1/8 (sqrt -1)) into (/ 1/8 (sqrt -1)) 0.331 * [backup-simplify]: Simplify (+ (* (/ 1/8 (sqrt -1)) (pow x 4)) (+ (* (/ 1/2 (sqrt -1)) (pow x 2)) (sqrt -1))) into (+ (* 1/8 (/ (pow x 4) (sqrt -1))) (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) 0.331 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 x) (/ 1 x)) 1)) into (sqrt (- (/ 1 (pow x 2)) 1)) 0.331 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in (x) around 0 0.331 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 0.331 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.331 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.331 * [backup-simplify]: Simplify (* 1 1) into 1 0.331 * [backup-simplify]: Simplify (/ 1 1) into 1 0.331 * [taylor]: Taking taylor expansion of 1 in x 0.331 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (+ 1 0) into 1 0.332 * [backup-simplify]: Simplify (sqrt 1) into 1 0.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.333 * [backup-simplify]: Simplify (+ 0 0) into 0 0.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.333 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 0.333 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.334 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.339 * [backup-simplify]: Simplify (* 1 1) into 1 0.340 * [backup-simplify]: Simplify (/ 1 1) into 1 0.340 * [taylor]: Taking taylor expansion of 1 in x 0.340 * [backup-simplify]: Simplify 1 into 1 0.340 * [backup-simplify]: Simplify (+ 1 0) into 1 0.341 * [backup-simplify]: Simplify (sqrt 1) into 1 0.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.343 * [backup-simplify]: Simplify (+ 0 0) into 0 0.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.344 * [backup-simplify]: Simplify 1 into 1 0.344 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.346 * [backup-simplify]: Simplify (- 1) into -1 0.346 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.348 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 0.348 * [backup-simplify]: Simplify -1/2 into -1/2 0.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (- 0) into 0 0.351 * [backup-simplify]: Simplify (+ 0 0) into 0 0.352 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 0.352 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.355 * [backup-simplify]: Simplify (- 0) into 0 0.355 * [backup-simplify]: Simplify (+ 0 0) into 0 0.356 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.356 * [backup-simplify]: Simplify -1/8 into -1/8 0.357 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 0.357 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1)) into (sqrt (- (/ 1 (pow x 2)) 1)) 0.357 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in (x) around 0 0.357 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 0.357 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.357 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify 1 into 1 0.358 * [backup-simplify]: Simplify (* 1 1) into 1 0.358 * [backup-simplify]: Simplify (/ 1 1) into 1 0.358 * [taylor]: Taking taylor expansion of 1 in x 0.358 * [backup-simplify]: Simplify 1 into 1 0.359 * [backup-simplify]: Simplify (+ 1 0) into 1 0.359 * [backup-simplify]: Simplify (sqrt 1) into 1 0.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.361 * [backup-simplify]: Simplify (+ 0 0) into 0 0.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.362 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 0.362 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.362 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 1 into 1 0.362 * [backup-simplify]: Simplify (* 1 1) into 1 0.363 * [backup-simplify]: Simplify (/ 1 1) into 1 0.363 * [taylor]: Taking taylor expansion of 1 in x 0.363 * [backup-simplify]: Simplify 1 into 1 0.363 * [backup-simplify]: Simplify (+ 1 0) into 1 0.363 * [backup-simplify]: Simplify (sqrt 1) into 1 0.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.365 * [backup-simplify]: Simplify (+ 0 0) into 0 0.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.366 * [backup-simplify]: Simplify 1 into 1 0.366 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.368 * [backup-simplify]: Simplify (- 1) into -1 0.369 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.370 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 0.370 * [backup-simplify]: Simplify -1/2 into -1/2 0.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.373 * [backup-simplify]: Simplify (- 0) into 0 0.373 * [backup-simplify]: Simplify (+ 0 0) into 0 0.374 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 0.375 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.377 * [backup-simplify]: Simplify (- 0) into 0 0.378 * [backup-simplify]: Simplify (+ 0 0) into 0 0.379 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.379 * [backup-simplify]: Simplify -1/8 into -1/8 0.379 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 (- x)) 3)) (+ (* -1/2 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))) x) 0.379 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.380 * [backup-simplify]: Simplify (+ x (sqrt (- (* x x) 1))) into (+ x (sqrt (- (pow x 2) 1))) 0.380 * [approximate]: Taking taylor expansion of (+ x (sqrt (- (pow x 2) 1))) in (x) around 0 0.380 * [taylor]: Taking taylor expansion of (+ x (sqrt (- (pow x 2) 1))) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 1 into 1 0.380 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1)) in x 0.380 * [taylor]: Taking taylor expansion of (- (pow x 2) 1) in x 0.380 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 1 into 1 0.380 * [taylor]: Taking taylor expansion of 1 in x 0.380 * [backup-simplify]: Simplify 1 into 1 0.380 * [backup-simplify]: Simplify (- 1) into -1 0.381 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.381 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.382 * [backup-simplify]: Simplify (- 0) into 0 0.382 * [backup-simplify]: Simplify (+ 0 0) into 0 0.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.383 * [taylor]: Taking taylor expansion of (+ x (sqrt (- (pow x 2) 1))) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 1 into 1 0.383 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1)) in x 0.383 * [taylor]: Taking taylor expansion of (- (pow x 2) 1) in x 0.383 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 1 into 1 0.383 * [taylor]: Taking taylor expansion of 1 in x 0.383 * [backup-simplify]: Simplify 1 into 1 0.383 * [backup-simplify]: Simplify (- 1) into -1 0.384 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.384 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.384 * [backup-simplify]: Simplify (- 0) into 0 0.385 * [backup-simplify]: Simplify (+ 0 0) into 0 0.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.386 * [backup-simplify]: Simplify (+ 0 (sqrt -1)) into (sqrt -1) 0.387 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.387 * [backup-simplify]: Simplify (+ 1 0) into 1 0.387 * [backup-simplify]: Simplify 1 into 1 0.388 * [backup-simplify]: Simplify (* 1 1) into 1 0.388 * [backup-simplify]: Simplify (- 0) into 0 0.389 * [backup-simplify]: Simplify (+ 1 0) into 1 0.392 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 0.393 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (sqrt -1))) into (* 1/2 (/ 1 (sqrt -1))) 0.395 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt -1))) into (/ 1/2 (sqrt -1)) 0.396 * [backup-simplify]: Simplify (+ (* (/ 1/2 (sqrt -1)) (pow x 2)) (+ (* 1 x) (sqrt -1))) into (+ x (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) 0.397 * [backup-simplify]: Simplify (+ (/ 1 x) (sqrt (- (* (/ 1 x) (/ 1 x)) 1))) into (+ (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) 0.397 * [approximate]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) in (x) around 0 0.397 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) in x 0.397 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 0.397 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.397 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify 1 into 1 0.397 * [backup-simplify]: Simplify (* 1 1) into 1 0.398 * [backup-simplify]: Simplify (/ 1 1) into 1 0.398 * [taylor]: Taking taylor expansion of 1 in x 0.398 * [backup-simplify]: Simplify 1 into 1 0.398 * [backup-simplify]: Simplify (+ 1 0) into 1 0.399 * [backup-simplify]: Simplify (sqrt 1) into 1 0.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (+ 0 0) into 0 0.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.401 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 1 into 1 0.402 * [backup-simplify]: Simplify (/ 1 1) into 1 0.402 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) in x 0.402 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 0.402 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.402 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.402 * [taylor]: Taking taylor expansion of x in x 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 1 into 1 0.402 * [backup-simplify]: Simplify (* 1 1) into 1 0.403 * [backup-simplify]: Simplify (/ 1 1) into 1 0.403 * [taylor]: Taking taylor expansion of 1 in x 0.403 * [backup-simplify]: Simplify 1 into 1 0.403 * [backup-simplify]: Simplify (+ 1 0) into 1 0.404 * [backup-simplify]: Simplify (sqrt 1) into 1 0.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.405 * [backup-simplify]: Simplify (+ 0 0) into 0 0.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.406 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 1 into 1 0.407 * [backup-simplify]: Simplify (/ 1 1) into 1 0.407 * [backup-simplify]: Simplify (+ 1 1) into 2 0.407 * [backup-simplify]: Simplify 2 into 2 0.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.408 * [backup-simplify]: Simplify (+ 0 0) into 0 0.408 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.410 * [backup-simplify]: Simplify (- 1) into -1 0.411 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.412 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 0.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.413 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.413 * [backup-simplify]: Simplify -1/2 into -1/2 0.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.416 * [backup-simplify]: Simplify (- 0) into 0 0.416 * [backup-simplify]: Simplify (+ 0 0) into 0 0.417 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 0.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.419 * [backup-simplify]: Simplify (+ 0 0) into 0 0.419 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.421 * [backup-simplify]: Simplify (- 0) into 0 0.422 * [backup-simplify]: Simplify (+ 0 0) into 0 0.423 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.425 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 0.425 * [backup-simplify]: Simplify -1/8 into -1/8 0.425 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) (* 2 (/ 1 (/ 1 x))))) into (- (* 2 x) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 0.426 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1))) into (- (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) 0.426 * [approximate]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) in (x) around 0 0.426 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) in x 0.426 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 0.426 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.426 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [backup-simplify]: Simplify (* 1 1) into 1 0.427 * [backup-simplify]: Simplify (/ 1 1) into 1 0.427 * [taylor]: Taking taylor expansion of 1 in x 0.427 * [backup-simplify]: Simplify 1 into 1 0.427 * [backup-simplify]: Simplify (+ 1 0) into 1 0.428 * [backup-simplify]: Simplify (sqrt 1) into 1 0.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.429 * [backup-simplify]: Simplify (+ 0 0) into 0 0.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.430 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify 1 into 1 0.431 * [backup-simplify]: Simplify (/ 1 1) into 1 0.431 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) in x 0.431 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 0.431 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 0.431 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.431 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 1 into 1 0.431 * [backup-simplify]: Simplify (* 1 1) into 1 0.432 * [backup-simplify]: Simplify (/ 1 1) into 1 0.432 * [taylor]: Taking taylor expansion of 1 in x 0.432 * [backup-simplify]: Simplify 1 into 1 0.432 * [backup-simplify]: Simplify (+ 1 0) into 1 0.433 * [backup-simplify]: Simplify (sqrt 1) into 1 0.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (+ 0 0) into 0 0.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.435 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 1 into 1 0.435 * [backup-simplify]: Simplify (/ 1 1) into 1 0.436 * [backup-simplify]: Simplify (- 1) into -1 0.436 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.436 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.437 * [backup-simplify]: Simplify (- 0) into 0 0.438 * [backup-simplify]: Simplify (+ 0 0) into 0 0.438 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.440 * [backup-simplify]: Simplify (- 1) into -1 0.440 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.441 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 0.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (- 0) into 0 0.443 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.443 * [backup-simplify]: Simplify -1/2 into -1/2 0.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (- 0) into 0 0.446 * [backup-simplify]: Simplify (+ 0 0) into 0 0.447 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 0.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (- 0) into 0 0.449 * [backup-simplify]: Simplify (+ 0 0) into 0 0.449 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.452 * [backup-simplify]: Simplify (- 0) into 0 0.452 * [backup-simplify]: Simplify (+ 0 0) into 0 0.454 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (- 0) into 0 0.455 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 0.455 * [backup-simplify]: Simplify -1/8 into -1/8 0.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.458 * [backup-simplify]: Simplify (- 0) into 0 0.459 * [backup-simplify]: Simplify (+ 0 0) into 0 0.460 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* -1/2 0)))) (* 2 1)) into 0 0.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (- 0) into 0 0.462 * [backup-simplify]: Simplify (+ 0 0) into 0 0.462 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.464 * [backup-simplify]: Simplify (- 0) into 0 0.464 * [backup-simplify]: Simplify (+ 0 0) into 0 0.465 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.466 * [backup-simplify]: Simplify (- 0) into 0 0.466 * [backup-simplify]: Simplify (+ -1/16 0) into -1/16 0.466 * [backup-simplify]: Simplify -1/16 into -1/16 0.466 * [backup-simplify]: Simplify (+ (* -1/16 (pow (/ 1 (- x)) 5)) (+ (* -1/8 (pow (/ 1 (- x)) 3)) (* -1/2 (/ 1 (- x))))) into (+ (* 1/16 (/ 1 (pow x 5))) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 0.466 * * * [progress]: simplifying candidates 0.466 * * * * [progress]: [ 1 / 38 ] simplifiying candidate # 0.466 * * * * [progress]: [ 2 / 38 ] simplifiying candidate # 0.466 * * * * [progress]: [ 3 / 38 ] simplifiying candidate # 0.466 * * * * [progress]: [ 4 / 38 ] simplifiying candidate # 0.466 * * * * [progress]: [ 5 / 38 ] simplifiying candidate # 0.466 * * * * [progress]: [ 6 / 38 ] simplifiying candidate # 0.466 * * * * [progress]: [ 7 / 38 ] simplifiying candidate # 0.467 * [simplify]: Simplifying (sqrt (* (cbrt (- (* x x) 1)) (cbrt (- (* x x) 1)))) 0.467 * * [simplify]: iters left: 6 (7 enodes) 0.469 * * [simplify]: iters left: 5 (30 enodes) 0.477 * * [simplify]: iters left: 4 (41 enodes) 0.484 * * [simplify]: iters left: 3 (57 enodes) 0.499 * * [simplify]: iters left: 2 (94 enodes) 0.530 * * [simplify]: iters left: 1 (136 enodes) 0.562 * * [simplify]: Extracting #0: cost 1 inf + 0 0.562 * * [simplify]: Extracting #1: cost 4 inf + 0 0.562 * * [simplify]: Extracting #2: cost 7 inf + 0 0.562 * * [simplify]: Extracting #3: cost 48 inf + 0 0.563 * * [simplify]: Extracting #4: cost 64 inf + 126 0.564 * * [simplify]: Extracting #5: cost 28 inf + 3789 0.567 * * [simplify]: Extracting #6: cost 1 inf + 6840 0.570 * * [simplify]: Extracting #7: cost 0 inf + 6922 0.576 * [simplify]: Simplified to (fabs (cbrt (- (* x x) 1))) 0.576 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (* (fabs (cbrt (- (* x x) 1))) (sqrt (cbrt (- (* x x) 1))))))) 0.576 * * * * [progress]: [ 8 / 38 ] simplifiying candidate # 0.577 * [simplify]: Simplifying (sqrt (sqrt (- (* x x) 1))) 0.577 * * [simplify]: iters left: 6 (6 enodes) 0.581 * * [simplify]: iters left: 5 (26 enodes) 0.589 * * [simplify]: iters left: 4 (37 enodes) 0.595 * * [simplify]: iters left: 3 (53 enodes) 0.606 * * [simplify]: iters left: 2 (90 enodes) 0.621 * * [simplify]: iters left: 1 (132 enodes) 0.676 * * [simplify]: Extracting #0: cost 1 inf + 0 0.676 * * [simplify]: Extracting #1: cost 3 inf + 0 0.676 * * [simplify]: Extracting #2: cost 5 inf + 0 0.679 * * [simplify]: Extracting #3: cost 44 inf + 0 0.680 * * [simplify]: Extracting #4: cost 60 inf + 169 0.681 * * [simplify]: Extracting #5: cost 14 inf + 4649 0.685 * * [simplify]: Extracting #6: cost 0 inf + 6317 0.687 * [simplify]: Simplified to (sqrt (sqrt (- (* x x) 1))) 0.687 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (* (sqrt (sqrt (- (* x x) 1))) (sqrt (sqrt (- (* x x) 1))))))) 0.687 * * * * [progress]: [ 9 / 38 ] simplifiying candidate # 0.687 * [simplify]: Simplifying (sqrt 1) 0.688 * * [simplify]: iters left: 1 (2 enodes) 0.690 * * [simplify]: Extracting #0: cost 1 inf + 0 0.690 * * [simplify]: Extracting #1: cost 0 inf + 1 0.690 * [simplify]: Simplified to 1 0.690 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (* 1 (sqrt (- (* x x) 1)))))) 0.690 * * * * [progress]: [ 10 / 38 ] simplifiying candidate # 0.690 * [simplify]: Simplifying (sqrt (+ x (sqrt 1))) 0.690 * * [simplify]: iters left: 4 (5 enodes) 0.692 * * [simplify]: iters left: 3 (18 enodes) 0.695 * * [simplify]: iters left: 2 (20 enodes) 0.699 * * [simplify]: Extracting #0: cost 1 inf + 0 0.699 * * [simplify]: Extracting #1: cost 3 inf + 0 0.699 * * [simplify]: Extracting #2: cost 6 inf + 0 0.699 * * [simplify]: Extracting #3: cost 4 inf + 2 0.699 * * [simplify]: Extracting #4: cost 0 inf + 250 0.699 * [simplify]: Simplified to (sqrt (+ 1 x)) 0.699 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (* (sqrt (+ 1 x)) (sqrt (- x (sqrt 1))))))) 0.699 * * * * [progress]: [ 11 / 38 ] simplifiying candidate # 0.699 * [simplify]: Simplifying (sqrt (+ x 1)) 0.699 * * [simplify]: iters left: 3 (4 enodes) 0.701 * * [simplify]: iters left: 2 (15 enodes) 0.704 * * [simplify]: iters left: 1 (17 enodes) 0.706 * * [simplify]: Extracting #0: cost 1 inf + 0 0.706 * * [simplify]: Extracting #1: cost 3 inf + 0 0.707 * * [simplify]: Extracting #2: cost 6 inf + 0 0.707 * * [simplify]: Extracting #3: cost 2 inf + 86 0.707 * * [simplify]: Extracting #4: cost 1 inf + 168 0.707 * * [simplify]: Extracting #5: cost 0 inf + 250 0.707 * [simplify]: Simplified to (sqrt (+ 1 x)) 0.707 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (* (sqrt (+ 1 x)) (sqrt (- x 1)))))) 0.707 * * * * [progress]: [ 12 / 38 ] simplifiying candidate # 0.707 * [simplify]: Simplifying (sqrt (+ x 1)) 0.707 * * [simplify]: iters left: 3 (4 enodes) 0.708 * * [simplify]: iters left: 2 (15 enodes) 0.711 * * [simplify]: iters left: 1 (17 enodes) 0.714 * * [simplify]: Extracting #0: cost 1 inf + 0 0.714 * * [simplify]: Extracting #1: cost 3 inf + 0 0.714 * * [simplify]: Extracting #2: cost 6 inf + 0 0.714 * * [simplify]: Extracting #3: cost 2 inf + 86 0.714 * * [simplify]: Extracting #4: cost 1 inf + 168 0.714 * * [simplify]: Extracting #5: cost 0 inf + 250 0.714 * [simplify]: Simplified to (sqrt (+ 1 x)) 0.714 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (* (sqrt (+ 1 x)) (sqrt (- x 1)))))) 0.715 * * * * [progress]: [ 13 / 38 ] simplifiying candidate # 0.715 * [simplify]: Simplifying (sqrt (- (pow (* x x) 3) (pow 1 3))) 0.715 * * [simplify]: iters left: 6 (8 enodes) 0.718 * * [simplify]: iters left: 5 (39 enodes) 0.734 * * [simplify]: iters left: 4 (80 enodes) 0.767 * * [simplify]: iters left: 3 (149 enodes) 0.828 * * [simplify]: iters left: 2 (298 enodes) 0.950 * * [simplify]: Extracting #0: cost 1 inf + 0 0.950 * * [simplify]: Extracting #1: cost 3 inf + 0 0.950 * * [simplify]: Extracting #2: cost 31 inf + 0 0.951 * * [simplify]: Extracting #3: cost 128 inf + 2 0.952 * * [simplify]: Extracting #4: cost 176 inf + 885 0.954 * * [simplify]: Extracting #5: cost 159 inf + 6736 0.960 * * [simplify]: Extracting #6: cost 77 inf + 32760 0.972 * * [simplify]: Extracting #7: cost 2 inf + 61285 0.984 * * [simplify]: Extracting #8: cost 0 inf + 61840 0.996 * [simplify]: Simplified to (sqrt (- (* (* (* x x) (* x x)) (* x x)) 1)) 0.996 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (/ (sqrt (- (* (* (* x x) (* x x)) (* x x)) 1)) (sqrt (+ (* (* x x) (* x x)) (+ (* 1 1) (* (* x x) 1)))))))) 0.996 * * * * [progress]: [ 14 / 38 ] simplifiying candidate # 0.997 * [simplify]: Simplifying (sqrt (- (* (* x x) (* x x)) (* 1 1))) 0.997 * * [simplify]: iters left: 6 (7 enodes) 1.001 * * [simplify]: iters left: 5 (28 enodes) 1.011 * * [simplify]: iters left: 4 (39 enodes) 1.026 * * [simplify]: iters left: 3 (59 enodes) 1.048 * * [simplify]: iters left: 2 (106 enodes) 1.099 * * [simplify]: iters left: 1 (251 enodes) 1.230 * * [simplify]: Extracting #0: cost 1 inf + 0 1.230 * * [simplify]: Extracting #1: cost 3 inf + 0 1.231 * * [simplify]: Extracting #2: cost 47 inf + 0 1.231 * * [simplify]: Extracting #3: cost 106 inf + 2 1.232 * * [simplify]: Extracting #4: cost 121 inf + 1185 1.238 * * [simplify]: Extracting #5: cost 53 inf + 10370 1.245 * * [simplify]: Extracting #6: cost 15 inf + 17105 1.253 * * [simplify]: Extracting #7: cost 3 inf + 21444 1.261 * * [simplify]: Extracting #8: cost 0 inf + 22582 1.270 * [simplify]: Simplified to (sqrt (+ (* (* x x) (* x x)) -1)) 1.270 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (/ (sqrt (+ (* (* x x) (* x x)) -1)) (sqrt (+ (* x x) 1)))))) 1.270 * * * * [progress]: [ 15 / 38 ] simplifiying candidate # 1.270 * [simplify]: Simplifying (- (* x x) 1) 1.270 * * [simplify]: iters left: 4 (4 enodes) 1.273 * * [simplify]: iters left: 3 (20 enodes) 1.280 * * [simplify]: iters left: 2 (31 enodes) 1.290 * * [simplify]: iters left: 1 (47 enodes) 1.302 * * [simplify]: Extracting #0: cost 1 inf + 0 1.302 * * [simplify]: Extracting #1: cost 10 inf + 0 1.302 * * [simplify]: Extracting #2: cost 19 inf + 2 1.302 * * [simplify]: Extracting #3: cost 18 inf + 3 1.303 * * [simplify]: Extracting #4: cost 4 inf + 749 1.303 * * [simplify]: Extracting #5: cost 0 inf + 1077 1.303 * [simplify]: Simplified to (- (* x x) 1) 1.303 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (pow (- (* x x) 1) (/ 1 2))))) 1.303 * * * * [progress]: [ 16 / 38 ] simplifiying candidate # 1.304 * * * * [progress]: [ 17 / 38 ] simplifiying candidate # 1.304 * [simplify]: Simplifying (sqrt (- (* x x) 1)) 1.304 * * [simplify]: iters left: 5 (5 enodes) 1.305 * * [simplify]: iters left: 4 (23 enodes) 1.310 * * [simplify]: iters left: 3 (34 enodes) 1.318 * * [simplify]: iters left: 2 (50 enodes) 1.331 * * [simplify]: iters left: 1 (87 enodes) 1.357 * * [simplify]: Extracting #0: cost 1 inf + 0 1.357 * * [simplify]: Extracting #1: cost 3 inf + 0 1.357 * * [simplify]: Extracting #2: cost 25 inf + 0 1.357 * * [simplify]: Extracting #3: cost 19 inf + 942 1.357 * * [simplify]: Extracting #4: cost 2 inf + 2293 1.358 * * [simplify]: Extracting #5: cost 0 inf + 2496 1.359 * [simplify]: Simplified to (sqrt (- (* x x) 1)) 1.359 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (fabs (sqrt (- (* x x) 1)))))) 1.359 * * * * [progress]: [ 18 / 38 ] simplifiying candidate # 1.359 * * * * [progress]: [ 19 / 38 ] simplifiying candidate #real (real->posit16 (sqrt (- (* x x) 1)))))))> 1.359 * * * * [progress]: [ 20 / 38 ] simplifiying candidate # 1.359 * [simplify]: Simplifying (* (exp x) (exp (sqrt (- (* x x) 1)))) 1.359 * * [simplify]: iters left: 6 (8 enodes) 1.362 * * [simplify]: iters left: 5 (35 enodes) 1.369 * * [simplify]: iters left: 4 (50 enodes) 1.377 * * [simplify]: iters left: 3 (66 enodes) 1.396 * * [simplify]: iters left: 2 (103 enodes) 1.427 * * [simplify]: iters left: 1 (145 enodes) 1.487 * * [simplify]: Extracting #0: cost 1 inf + 0 1.487 * * [simplify]: Extracting #1: cost 5 inf + 0 1.487 * * [simplify]: Extracting #2: cost 10 inf + 0 1.487 * * [simplify]: Extracting #3: cost 11 inf + 1 1.487 * * [simplify]: Extracting #4: cost 48 inf + 143 1.488 * * [simplify]: Extracting #5: cost 37 inf + 3569 1.491 * * [simplify]: Extracting #6: cost 1 inf + 7251 1.495 * * [simplify]: Extracting #7: cost 0 inf + 7266 1.499 * [simplify]: Simplified to (exp (+ (sqrt (- (* x x) 1)) x)) 1.499 * [simplify]: Simplified (2 1 1) to (λ (x) (log (log (exp (+ (sqrt (- (* x x) 1)) x))))) 1.499 * * * * [progress]: [ 21 / 38 ] simplifiying candidate # 1.499 * * * * [progress]: [ 22 / 38 ] simplifiying candidate # 1.499 * * * * [progress]: [ 23 / 38 ] simplifiying candidate # 1.499 * * * * [progress]: [ 24 / 38 ] simplifiying candidate # 1.499 * * * * [progress]: [ 25 / 38 ] simplifiying candidate # 1.499 * * * * [progress]: [ 26 / 38 ] simplifiying candidate # 1.500 * * * * [progress]: [ 27 / 38 ] simplifiying candidate # 1.500 * * * * [progress]: [ 28 / 38 ] simplifiying candidate # 1.500 * * * * [progress]: [ 29 / 38 ] simplifiying candidate # 1.500 * * * * [progress]: [ 30 / 38 ] simplifiying candidate # 1.500 * [simplify]: Simplifying (+ x (sqrt (- (* x x) 1))) 1.500 * * [simplify]: iters left: 6 (6 enodes) 1.504 * * [simplify]: iters left: 5 (27 enodes) 1.512 * * [simplify]: iters left: 4 (38 enodes) 1.524 * * [simplify]: iters left: 3 (54 enodes) 1.544 * * [simplify]: iters left: 2 (91 enodes) 1.575 * * [simplify]: iters left: 1 (133 enodes) 1.630 * * [simplify]: Extracting #0: cost 1 inf + 0 1.630 * * [simplify]: Extracting #1: cost 4 inf + 0 1.630 * * [simplify]: Extracting #2: cost 5 inf + 1 1.631 * * [simplify]: Extracting #3: cost 44 inf + 1 1.631 * * [simplify]: Extracting #4: cost 54 inf + 659 1.633 * * [simplify]: Extracting #5: cost 9 inf + 5142 1.636 * * [simplify]: Extracting #6: cost 0 inf + 6277 1.640 * * [simplify]: Extracting #7: cost 0 inf + 6237 1.643 * [simplify]: Simplified to (+ x (sqrt (- (* x x) 1))) 1.643 * [simplify]: Simplified (2 1 2) to (λ (x) (log (* 1 (+ x (sqrt (- (* x x) 1)))))) 1.643 * * * * [progress]: [ 31 / 38 ] simplifiying candidate #real (real->posit16 (+ x (sqrt (- (* x x) 1)))))))> 1.643 * * * * [progress]: [ 32 / 38 ] simplifiying candidate # 1.643 * * * * [progress]: [ 33 / 38 ] simplifiying candidate # 1.644 * [simplify]: Simplifying (+ (* 1/8 (/ (pow x 4) (sqrt -1))) (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) 1.644 * * [simplify]: iters left: 6 (15 enodes) 1.654 * * [simplify]: iters left: 5 (63 enodes) 1.668 * * [simplify]: iters left: 4 (93 enodes) 1.687 * * [simplify]: iters left: 3 (124 enodes) 1.720 * * [simplify]: iters left: 2 (163 enodes) 1.750 * * [simplify]: iters left: 1 (241 enodes) 1.834 * * [simplify]: Extracting #0: cost 1 inf + 0 1.834 * * [simplify]: Extracting #1: cost 8 inf + 0 1.835 * * [simplify]: Extracting #2: cost 59 inf + 0 1.835 * * [simplify]: Extracting #3: cost 87 inf + 127 1.839 * * [simplify]: Extracting #4: cost 19 inf + 8843 1.844 * * [simplify]: Extracting #5: cost 2 inf + 11487 1.850 * * [simplify]: Extracting #6: cost 0 inf + 11893 1.856 * [simplify]: Simplified to (+ (sqrt -1) (* (/ (* x x) (sqrt -1)) (+ 1/2 (* 1/8 (* x x))))) 1.856 * [simplify]: Simplified (2 1 2) to (λ (x) (log (+ x (+ (sqrt -1) (* (/ (* x x) (sqrt -1)) (+ 1/2 (* 1/8 (* x x)))))))) 1.856 * * * * [progress]: [ 34 / 38 ] simplifiying candidate # 1.856 * [simplify]: Simplifying (- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 1.856 * * [simplify]: iters left: 6 (12 enodes) 1.865 * * [simplify]: iters left: 5 (57 enodes) 1.887 * * [simplify]: iters left: 4 (97 enodes) 1.925 * * [simplify]: iters left: 3 (170 enodes) 1.974 * * [simplify]: iters left: 2 (285 enodes) 2.058 * * [simplify]: Extracting #0: cost 1 inf + 0 2.058 * * [simplify]: Extracting #1: cost 17 inf + 0 2.058 * * [simplify]: Extracting #2: cost 72 inf + 1 2.058 * * [simplify]: Extracting #3: cost 124 inf + 335 2.064 * * [simplify]: Extracting #4: cost 87 inf + 7689 2.068 * * [simplify]: Extracting #5: cost 20 inf + 28115 2.074 * * [simplify]: Extracting #6: cost 1 inf + 32556 2.083 * * [simplify]: Extracting #7: cost 0 inf + 32506 2.092 * [simplify]: Simplified to (+ (+ x (/ (/ -1/8 (* x x)) x)) (/ -1/2 x)) 2.092 * [simplify]: Simplified (2 1 2) to (λ (x) (log (+ x (+ (+ x (/ (/ -1/8 (* x x)) x)) (/ -1/2 x))))) 2.092 * * * * [progress]: [ 35 / 38 ] simplifiying candidate # 2.092 * [simplify]: Simplifying (- (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))) x) 2.092 * * [simplify]: iters left: 6 (12 enodes) 2.101 * * [simplify]: iters left: 5 (57 enodes) 2.125 * * [simplify]: iters left: 4 (96 enodes) 2.160 * * [simplify]: iters left: 3 (144 enodes) 2.186 * * [simplify]: iters left: 2 (225 enodes) 2.249 * * [simplify]: iters left: 1 (447 enodes) 2.487 * * [simplify]: Extracting #0: cost 1 inf + 0 2.487 * * [simplify]: Extracting #1: cost 16 inf + 0 2.488 * * [simplify]: Extracting #2: cost 143 inf + 42 2.490 * * [simplify]: Extracting #3: cost 262 inf + 620 2.499 * * [simplify]: Extracting #4: cost 227 inf + 7352 2.510 * * [simplify]: Extracting #5: cost 113 inf + 63033 2.525 * * [simplify]: Extracting #6: cost 6 inf + 122361 2.538 * * [simplify]: Extracting #7: cost 0 inf + 123770 2.551 * * [simplify]: Extracting #8: cost 0 inf + 123691 2.568 * [simplify]: Simplified to (- (+ (/ (/ 1/8 (* x x)) x) (/ 1/2 x)) x) 2.569 * [simplify]: Simplified (2 1 2) to (λ (x) (log (+ x (- (+ (/ (/ 1/8 (* x x)) x) (/ 1/2 x)) x)))) 2.569 * * * * [progress]: [ 36 / 38 ] simplifiying candidate # 2.569 * [simplify]: Simplifying (+ x (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) 2.569 * * [simplify]: iters left: 6 (10 enodes) 2.573 * * [simplify]: iters left: 5 (42 enodes) 2.581 * * [simplify]: iters left: 4 (64 enodes) 2.595 * * [simplify]: iters left: 3 (86 enodes) 2.617 * * [simplify]: iters left: 2 (100 enodes) 2.639 * * [simplify]: iters left: 1 (120 enodes) 2.658 * * [simplify]: Extracting #0: cost 1 inf + 0 2.658 * * [simplify]: Extracting #1: cost 8 inf + 0 2.658 * * [simplify]: Extracting #2: cost 26 inf + 1 2.658 * * [simplify]: Extracting #3: cost 33 inf + 332 2.659 * * [simplify]: Extracting #4: cost 10 inf + 2581 2.661 * * [simplify]: Extracting #5: cost 0 inf + 4169 2.663 * [simplify]: Simplified to (+ x (+ (sqrt -1) (/ (* x 1/2) (/ (sqrt -1) x)))) 2.663 * [simplify]: Simplified (2 1) to (λ (x) (log (+ x (+ (sqrt -1) (/ (* x 1/2) (/ (sqrt -1) x)))))) 2.664 * * * * [progress]: [ 37 / 38 ] simplifiying candidate # 2.664 * [simplify]: Simplifying (- (* 2 x) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 2.664 * * [simplify]: iters left: 6 (14 enodes) 2.674 * * [simplify]: iters left: 5 (63 enodes) 2.699 * * [simplify]: iters left: 4 (101 enodes) 2.736 * * [simplify]: iters left: 3 (174 enodes) 2.776 * * [simplify]: iters left: 2 (289 enodes) 2.862 * * [simplify]: Extracting #0: cost 1 inf + 0 2.862 * * [simplify]: Extracting #1: cost 17 inf + 0 2.862 * * [simplify]: Extracting #2: cost 76 inf + 0 2.863 * * [simplify]: Extracting #3: cost 132 inf + 6 2.864 * * [simplify]: Extracting #4: cost 113 inf + 2471 2.869 * * [simplify]: Extracting #5: cost 46 inf + 18924 2.877 * * [simplify]: Extracting #6: cost 1 inf + 36409 2.885 * * [simplify]: Extracting #7: cost 0 inf + 36461 2.894 * [simplify]: Simplified to (+ (* 2 x) (- (/ -1/2 x) (/ 1/8 (* x (* x x))))) 2.894 * [simplify]: Simplified (2 1) to (λ (x) (log (+ (* 2 x) (- (/ -1/2 x) (/ 1/8 (* x (* x x))))))) 2.894 * * * * [progress]: [ 38 / 38 ] simplifiying candidate # 2.895 * [simplify]: Simplifying (+ (* 1/16 (/ 1 (pow x 5))) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 2.895 * * [simplify]: iters left: 6 (17 enodes) 2.912 * * [simplify]: iters left: 5 (78 enodes) 2.941 * * [simplify]: iters left: 4 (129 enodes) 2.974 * * [simplify]: iters left: 3 (209 enodes) 3.022 * * [simplify]: iters left: 2 (357 enodes) 3.146 * * [simplify]: Extracting #0: cost 1 inf + 0 3.146 * * [simplify]: Extracting #1: cost 8 inf + 0 3.146 * * [simplify]: Extracting #2: cost 71 inf + 0 3.147 * * [simplify]: Extracting #3: cost 160 inf + 87 3.148 * * [simplify]: Extracting #4: cost 159 inf + 1823 3.152 * * [simplify]: Extracting #5: cost 109 inf + 16770 3.160 * * [simplify]: Extracting #6: cost 17 inf + 53698 3.170 * * [simplify]: Extracting #7: cost 0 inf + 61584 3.181 * [simplify]: Simplified to (+ (+ (/ 1/16 (pow x 5)) (/ 1/2 x)) (/ (/ (/ 1/8 x) x) x)) 3.181 * [simplify]: Simplified (2 1) to (λ (x) (log (+ (+ (/ 1/16 (pow x 5)) (/ 1/2 x)) (/ (/ (/ 1/8 x) x) x)))) 3.181 * * * [progress]: adding candidates to table 3.551 * * [progress]: iteration 2 / 4 3.551 * * * [progress]: picking best candidate 3.556 * * * * [pick]: Picked # 3.556 * * * [progress]: localizing error 3.592 * * * [progress]: generating rewritten candidates 3.592 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 3.620 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 3.629 * * * [progress]: generating series expansions 3.629 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 3.629 * [backup-simplify]: Simplify (* (sqrt (+ x 1)) (sqrt (- x 1))) into (sqrt (* (+ x 1) (- x 1))) 3.629 * [approximate]: Taking taylor expansion of (sqrt (* (+ x 1) (- x 1))) in (x) around 0 3.629 * [taylor]: Taking taylor expansion of (sqrt (* (+ x 1) (- x 1))) in x 3.629 * [taylor]: Taking taylor expansion of (* (+ x 1) (- x 1)) in x 3.629 * [taylor]: Taking taylor expansion of (+ x 1) in x 3.629 * [taylor]: Taking taylor expansion of x in x 3.629 * [backup-simplify]: Simplify 0 into 0 3.629 * [backup-simplify]: Simplify 1 into 1 3.629 * [taylor]: Taking taylor expansion of 1 in x 3.629 * [backup-simplify]: Simplify 1 into 1 3.629 * [taylor]: Taking taylor expansion of (- x 1) in x 3.629 * [taylor]: Taking taylor expansion of x in x 3.629 * [backup-simplify]: Simplify 0 into 0 3.629 * [backup-simplify]: Simplify 1 into 1 3.630 * [taylor]: Taking taylor expansion of 1 in x 3.630 * [backup-simplify]: Simplify 1 into 1 3.630 * [backup-simplify]: Simplify (+ 0 1) into 1 3.631 * [backup-simplify]: Simplify (- 1) into -1 3.631 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.632 * [backup-simplify]: Simplify (* 1 -1) into -1 3.632 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.633 * [backup-simplify]: Simplify (- 0) into 0 3.633 * [backup-simplify]: Simplify (+ 1 0) into 1 3.633 * [backup-simplify]: Simplify (+ 1 0) into 1 3.634 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 -1)) into 0 3.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.635 * [taylor]: Taking taylor expansion of (sqrt (* (+ x 1) (- x 1))) in x 3.635 * [taylor]: Taking taylor expansion of (* (+ x 1) (- x 1)) in x 3.635 * [taylor]: Taking taylor expansion of (+ x 1) in x 3.635 * [taylor]: Taking taylor expansion of x in x 3.635 * [backup-simplify]: Simplify 0 into 0 3.635 * [backup-simplify]: Simplify 1 into 1 3.635 * [taylor]: Taking taylor expansion of 1 in x 3.635 * [backup-simplify]: Simplify 1 into 1 3.635 * [taylor]: Taking taylor expansion of (- x 1) in x 3.635 * [taylor]: Taking taylor expansion of x in x 3.635 * [backup-simplify]: Simplify 0 into 0 3.635 * [backup-simplify]: Simplify 1 into 1 3.635 * [taylor]: Taking taylor expansion of 1 in x 3.635 * [backup-simplify]: Simplify 1 into 1 3.636 * [backup-simplify]: Simplify (+ 0 1) into 1 3.636 * [backup-simplify]: Simplify (- 1) into -1 3.636 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.637 * [backup-simplify]: Simplify (* 1 -1) into -1 3.637 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.638 * [backup-simplify]: Simplify (- 0) into 0 3.638 * [backup-simplify]: Simplify (+ 1 0) into 1 3.639 * [backup-simplify]: Simplify (+ 1 0) into 1 3.639 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 -1)) into 0 3.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.640 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.640 * [backup-simplify]: Simplify 0 into 0 3.641 * [backup-simplify]: Simplify (- 0) into 0 3.641 * [backup-simplify]: Simplify (+ 0 0) into 0 3.642 * [backup-simplify]: Simplify (+ 0 0) into 0 3.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 -1))) into 1 3.645 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 3.646 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 3.647 * [backup-simplify]: Simplify (- 0) into 0 3.647 * [backup-simplify]: Simplify (+ 0 0) into 0 3.648 * [backup-simplify]: Simplify (+ 0 0) into 0 3.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 3.651 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 3.651 * [backup-simplify]: Simplify 0 into 0 3.651 * [backup-simplify]: Simplify (- 0) into 0 3.651 * [backup-simplify]: Simplify (+ 0 0) into 0 3.652 * [backup-simplify]: Simplify (+ 0 0) into 0 3.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 3.656 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ 1/8 (sqrt -1)) 3.657 * [backup-simplify]: Simplify (/ 1/8 (sqrt -1)) into (/ 1/8 (sqrt -1)) 3.658 * [backup-simplify]: Simplify (+ (* (/ 1/8 (sqrt -1)) (pow x 4)) (+ (* (/ 1/2 (sqrt -1)) (pow x 2)) (sqrt -1))) into (+ (* 1/8 (/ (pow x 4) (sqrt -1))) (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) 3.658 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 x) 1)) (sqrt (- (/ 1 x) 1))) into (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) 3.658 * [approximate]: Taking taylor expansion of (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) in (x) around 0 3.658 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) in x 3.658 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1) (- (/ 1 x) 1)) in x 3.658 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 3.658 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.658 * [taylor]: Taking taylor expansion of x in x 3.659 * [backup-simplify]: Simplify 0 into 0 3.659 * [backup-simplify]: Simplify 1 into 1 3.659 * [backup-simplify]: Simplify (/ 1 1) into 1 3.659 * [taylor]: Taking taylor expansion of 1 in x 3.659 * [backup-simplify]: Simplify 1 into 1 3.659 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 3.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.659 * [taylor]: Taking taylor expansion of x in x 3.659 * [backup-simplify]: Simplify 0 into 0 3.659 * [backup-simplify]: Simplify 1 into 1 3.659 * [backup-simplify]: Simplify (/ 1 1) into 1 3.659 * [taylor]: Taking taylor expansion of 1 in x 3.659 * [backup-simplify]: Simplify 1 into 1 3.659 * [backup-simplify]: Simplify (+ 1 0) into 1 3.660 * [backup-simplify]: Simplify (+ 1 0) into 1 3.660 * [backup-simplify]: Simplify (* 1 1) into 1 3.660 * [backup-simplify]: Simplify (sqrt 1) into 1 3.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.661 * [backup-simplify]: Simplify (- 1) into -1 3.661 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.662 * [backup-simplify]: Simplify (+ 0 1) into 1 3.662 * [backup-simplify]: Simplify (+ (* 1 -1) (* 1 1)) into 0 3.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.663 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) in x 3.663 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1) (- (/ 1 x) 1)) in x 3.663 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 3.663 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.663 * [taylor]: Taking taylor expansion of x in x 3.663 * [backup-simplify]: Simplify 0 into 0 3.663 * [backup-simplify]: Simplify 1 into 1 3.663 * [backup-simplify]: Simplify (/ 1 1) into 1 3.663 * [taylor]: Taking taylor expansion of 1 in x 3.663 * [backup-simplify]: Simplify 1 into 1 3.663 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 3.663 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.663 * [taylor]: Taking taylor expansion of x in x 3.663 * [backup-simplify]: Simplify 0 into 0 3.663 * [backup-simplify]: Simplify 1 into 1 3.663 * [backup-simplify]: Simplify (/ 1 1) into 1 3.663 * [taylor]: Taking taylor expansion of 1 in x 3.663 * [backup-simplify]: Simplify 1 into 1 3.664 * [backup-simplify]: Simplify (+ 1 0) into 1 3.664 * [backup-simplify]: Simplify (+ 1 0) into 1 3.664 * [backup-simplify]: Simplify (* 1 1) into 1 3.664 * [backup-simplify]: Simplify (sqrt 1) into 1 3.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.665 * [backup-simplify]: Simplify (- 1) into -1 3.665 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.666 * [backup-simplify]: Simplify (+ 0 1) into 1 3.667 * [backup-simplify]: Simplify (+ (* 1 -1) (* 1 1)) into 0 3.667 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.667 * [backup-simplify]: Simplify 1 into 1 3.667 * [backup-simplify]: Simplify 0 into 0 3.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.668 * [backup-simplify]: Simplify (- 0) into 0 3.668 * [backup-simplify]: Simplify (+ 0 0) into 0 3.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.669 * [backup-simplify]: Simplify (+ 0 0) into 0 3.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 -1) (* 0 1))) into -1 3.670 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 3.670 * [backup-simplify]: Simplify -1/2 into -1/2 3.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.671 * [backup-simplify]: Simplify (- 0) into 0 3.671 * [backup-simplify]: Simplify (+ 0 0) into 0 3.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.672 * [backup-simplify]: Simplify (+ 0 0) into 0 3.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 -1) (* 0 1)))) into 0 3.674 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 3.674 * [backup-simplify]: Simplify 0 into 0 3.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.674 * [backup-simplify]: Simplify (- 0) into 0 3.675 * [backup-simplify]: Simplify (+ 0 0) into 0 3.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.675 * [backup-simplify]: Simplify (+ 0 0) into 0 3.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1))))) into 0 3.677 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.677 * [backup-simplify]: Simplify -1/8 into -1/8 3.677 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 3.677 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (- x)) 1)) (sqrt (- (/ 1 (- x)) 1))) into (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) 3.678 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) in (x) around 0 3.678 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) in x 3.678 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 3.678 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 3.678 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 3.678 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.678 * [taylor]: Taking taylor expansion of x in x 3.678 * [backup-simplify]: Simplify 0 into 0 3.678 * [backup-simplify]: Simplify 1 into 1 3.678 * [backup-simplify]: Simplify (/ 1 1) into 1 3.678 * [taylor]: Taking taylor expansion of 1 in x 3.678 * [backup-simplify]: Simplify 1 into 1 3.678 * [backup-simplify]: Simplify (+ 1 0) into 1 3.678 * [backup-simplify]: Simplify (- 1) into -1 3.679 * [backup-simplify]: Simplify (sqrt 0) into 0 3.679 * [backup-simplify]: Simplify (- 1) into -1 3.680 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.680 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 3.680 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 3.680 * [taylor]: Taking taylor expansion of 1 in x 3.680 * [backup-simplify]: Simplify 1 into 1 3.680 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.680 * [taylor]: Taking taylor expansion of x in x 3.680 * [backup-simplify]: Simplify 0 into 0 3.680 * [backup-simplify]: Simplify 1 into 1 3.680 * [backup-simplify]: Simplify (/ 1 1) into 1 3.681 * [backup-simplify]: Simplify (- 1) into -1 3.681 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.681 * [backup-simplify]: Simplify (sqrt 0) into 0 3.682 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.682 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) in x 3.682 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 3.682 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 3.682 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 3.682 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.682 * [taylor]: Taking taylor expansion of x in x 3.682 * [backup-simplify]: Simplify 0 into 0 3.682 * [backup-simplify]: Simplify 1 into 1 3.683 * [backup-simplify]: Simplify (/ 1 1) into 1 3.683 * [taylor]: Taking taylor expansion of 1 in x 3.683 * [backup-simplify]: Simplify 1 into 1 3.683 * [backup-simplify]: Simplify (+ 1 0) into 1 3.684 * [backup-simplify]: Simplify (- 1) into -1 3.684 * [backup-simplify]: Simplify (sqrt 0) into 0 3.684 * [backup-simplify]: Simplify (- 1) into -1 3.686 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.686 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 3.686 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 3.686 * [taylor]: Taking taylor expansion of 1 in x 3.686 * [backup-simplify]: Simplify 1 into 1 3.686 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.686 * [taylor]: Taking taylor expansion of x in x 3.686 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify 1 into 1 3.686 * [backup-simplify]: Simplify (/ 1 1) into 1 3.687 * [backup-simplify]: Simplify (- 1) into -1 3.687 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.687 * [backup-simplify]: Simplify (sqrt 0) into 0 3.689 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.689 * [backup-simplify]: Simplify (* 0 0) into 0 3.689 * [backup-simplify]: Simplify 0 into 0 3.690 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 3.690 * [backup-simplify]: Simplify 0 into 0 3.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.691 * [backup-simplify]: Simplify (- 0) into 0 3.692 * [backup-simplify]: Simplify (+ 1 0) into 1 3.695 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.696 * [backup-simplify]: Simplify (+ 0 1) into 1 3.696 * [backup-simplify]: Simplify (- 1) into -1 3.699 * [backup-simplify]: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.702 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 3.702 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.704 * [backup-simplify]: Simplify (- 0) into 0 3.704 * [backup-simplify]: Simplify (+ 0 0) into 0 3.708 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.709 * [backup-simplify]: Simplify (+ 0 0) into 0 3.710 * [backup-simplify]: Simplify (- 0) into 0 3.714 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.718 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 3.719 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.720 * [backup-simplify]: Simplify (- 0) into 0 3.720 * [backup-simplify]: Simplify (+ 0 0) into 0 3.724 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.725 * [backup-simplify]: Simplify (+ 0 0) into 0 3.725 * [backup-simplify]: Simplify (- 0) into 0 3.728 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.734 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) 3.734 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.735 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 3.735 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 3.735 * [backup-simplify]: Simplify (+ x (* (sqrt (+ x 1)) (sqrt (- x 1)))) into (+ x (sqrt (* (+ x 1) (- x 1)))) 3.735 * [approximate]: Taking taylor expansion of (+ x (sqrt (* (+ x 1) (- x 1)))) in (x) around 0 3.735 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x 1) (- x 1)))) in x 3.735 * [taylor]: Taking taylor expansion of x in x 3.735 * [backup-simplify]: Simplify 0 into 0 3.735 * [backup-simplify]: Simplify 1 into 1 3.735 * [taylor]: Taking taylor expansion of (sqrt (* (+ x 1) (- x 1))) in x 3.735 * [taylor]: Taking taylor expansion of (* (+ x 1) (- x 1)) in x 3.735 * [taylor]: Taking taylor expansion of (+ x 1) in x 3.735 * [taylor]: Taking taylor expansion of x in x 3.735 * [backup-simplify]: Simplify 0 into 0 3.735 * [backup-simplify]: Simplify 1 into 1 3.735 * [taylor]: Taking taylor expansion of 1 in x 3.735 * [backup-simplify]: Simplify 1 into 1 3.735 * [taylor]: Taking taylor expansion of (- x 1) in x 3.735 * [taylor]: Taking taylor expansion of x in x 3.735 * [backup-simplify]: Simplify 0 into 0 3.735 * [backup-simplify]: Simplify 1 into 1 3.735 * [taylor]: Taking taylor expansion of 1 in x 3.735 * [backup-simplify]: Simplify 1 into 1 3.736 * [backup-simplify]: Simplify (+ 0 1) into 1 3.736 * [backup-simplify]: Simplify (- 1) into -1 3.736 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.737 * [backup-simplify]: Simplify (* 1 -1) into -1 3.737 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.737 * [backup-simplify]: Simplify (- 0) into 0 3.737 * [backup-simplify]: Simplify (+ 1 0) into 1 3.738 * [backup-simplify]: Simplify (+ 1 0) into 1 3.738 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 -1)) into 0 3.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.738 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x 1) (- x 1)))) in x 3.738 * [taylor]: Taking taylor expansion of x in x 3.738 * [backup-simplify]: Simplify 0 into 0 3.739 * [backup-simplify]: Simplify 1 into 1 3.739 * [taylor]: Taking taylor expansion of (sqrt (* (+ x 1) (- x 1))) in x 3.739 * [taylor]: Taking taylor expansion of (* (+ x 1) (- x 1)) in x 3.739 * [taylor]: Taking taylor expansion of (+ x 1) in x 3.739 * [taylor]: Taking taylor expansion of x in x 3.739 * [backup-simplify]: Simplify 0 into 0 3.739 * [backup-simplify]: Simplify 1 into 1 3.739 * [taylor]: Taking taylor expansion of 1 in x 3.739 * [backup-simplify]: Simplify 1 into 1 3.739 * [taylor]: Taking taylor expansion of (- x 1) in x 3.739 * [taylor]: Taking taylor expansion of x in x 3.739 * [backup-simplify]: Simplify 0 into 0 3.739 * [backup-simplify]: Simplify 1 into 1 3.739 * [taylor]: Taking taylor expansion of 1 in x 3.739 * [backup-simplify]: Simplify 1 into 1 3.739 * [backup-simplify]: Simplify (+ 0 1) into 1 3.739 * [backup-simplify]: Simplify (- 1) into -1 3.740 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.740 * [backup-simplify]: Simplify (* 1 -1) into -1 3.740 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.740 * [backup-simplify]: Simplify (- 0) into 0 3.741 * [backup-simplify]: Simplify (+ 1 0) into 1 3.741 * [backup-simplify]: Simplify (+ 1 0) into 1 3.741 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 -1)) into 0 3.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.742 * [backup-simplify]: Simplify (+ 0 (sqrt -1)) into (sqrt -1) 3.743 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.743 * [backup-simplify]: Simplify (+ 1 0) into 1 3.743 * [backup-simplify]: Simplify 1 into 1 3.743 * [backup-simplify]: Simplify (- 0) into 0 3.743 * [backup-simplify]: Simplify (+ 0 0) into 0 3.744 * [backup-simplify]: Simplify (+ 0 0) into 0 3.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 -1))) into 1 3.746 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 3.747 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (sqrt -1))) into (* 1/2 (/ 1 (sqrt -1))) 3.748 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt -1))) into (/ 1/2 (sqrt -1)) 3.749 * [backup-simplify]: Simplify (+ (* (/ 1/2 (sqrt -1)) (pow x 2)) (+ (* 1 x) (sqrt -1))) into (+ x (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) 3.749 * [backup-simplify]: Simplify (+ (/ 1 x) (* (sqrt (+ (/ 1 x) 1)) (sqrt (- (/ 1 x) 1)))) into (+ (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) (/ 1 x)) 3.749 * [approximate]: Taking taylor expansion of (+ (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) (/ 1 x)) in (x) around 0 3.749 * [taylor]: Taking taylor expansion of (+ (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) (/ 1 x)) in x 3.749 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) in x 3.749 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1) (- (/ 1 x) 1)) in x 3.749 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 3.749 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.749 * [taylor]: Taking taylor expansion of x in x 3.749 * [backup-simplify]: Simplify 0 into 0 3.749 * [backup-simplify]: Simplify 1 into 1 3.749 * [backup-simplify]: Simplify (/ 1 1) into 1 3.749 * [taylor]: Taking taylor expansion of 1 in x 3.749 * [backup-simplify]: Simplify 1 into 1 3.750 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 3.750 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.750 * [taylor]: Taking taylor expansion of x in x 3.750 * [backup-simplify]: Simplify 0 into 0 3.750 * [backup-simplify]: Simplify 1 into 1 3.750 * [backup-simplify]: Simplify (/ 1 1) into 1 3.750 * [taylor]: Taking taylor expansion of 1 in x 3.750 * [backup-simplify]: Simplify 1 into 1 3.750 * [backup-simplify]: Simplify (+ 1 0) into 1 3.750 * [backup-simplify]: Simplify (+ 1 0) into 1 3.751 * [backup-simplify]: Simplify (* 1 1) into 1 3.751 * [backup-simplify]: Simplify (sqrt 1) into 1 3.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.752 * [backup-simplify]: Simplify (- 1) into -1 3.752 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.753 * [backup-simplify]: Simplify (+ 0 1) into 1 3.753 * [backup-simplify]: Simplify (+ (* 1 -1) (* 1 1)) into 0 3.753 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.753 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.753 * [taylor]: Taking taylor expansion of x in x 3.753 * [backup-simplify]: Simplify 0 into 0 3.753 * [backup-simplify]: Simplify 1 into 1 3.754 * [backup-simplify]: Simplify (/ 1 1) into 1 3.754 * [taylor]: Taking taylor expansion of (+ (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) (/ 1 x)) in x 3.754 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) in x 3.754 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1) (- (/ 1 x) 1)) in x 3.754 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 3.754 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.754 * [taylor]: Taking taylor expansion of x in x 3.754 * [backup-simplify]: Simplify 0 into 0 3.754 * [backup-simplify]: Simplify 1 into 1 3.754 * [backup-simplify]: Simplify (/ 1 1) into 1 3.754 * [taylor]: Taking taylor expansion of 1 in x 3.754 * [backup-simplify]: Simplify 1 into 1 3.754 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 3.754 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.754 * [taylor]: Taking taylor expansion of x in x 3.754 * [backup-simplify]: Simplify 0 into 0 3.754 * [backup-simplify]: Simplify 1 into 1 3.754 * [backup-simplify]: Simplify (/ 1 1) into 1 3.754 * [taylor]: Taking taylor expansion of 1 in x 3.755 * [backup-simplify]: Simplify 1 into 1 3.755 * [backup-simplify]: Simplify (+ 1 0) into 1 3.755 * [backup-simplify]: Simplify (+ 1 0) into 1 3.755 * [backup-simplify]: Simplify (* 1 1) into 1 3.756 * [backup-simplify]: Simplify (sqrt 1) into 1 3.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.756 * [backup-simplify]: Simplify (- 1) into -1 3.756 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.757 * [backup-simplify]: Simplify (+ 0 1) into 1 3.758 * [backup-simplify]: Simplify (+ (* 1 -1) (* 1 1)) into 0 3.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.758 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.758 * [taylor]: Taking taylor expansion of x in x 3.758 * [backup-simplify]: Simplify 0 into 0 3.758 * [backup-simplify]: Simplify 1 into 1 3.758 * [backup-simplify]: Simplify (/ 1 1) into 1 3.759 * [backup-simplify]: Simplify (+ 1 1) into 2 3.759 * [backup-simplify]: Simplify 2 into 2 3.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.760 * [backup-simplify]: Simplify (+ 0 0) into 0 3.760 * [backup-simplify]: Simplify 0 into 0 3.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.761 * [backup-simplify]: Simplify (- 0) into 0 3.761 * [backup-simplify]: Simplify (+ 0 0) into 0 3.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.762 * [backup-simplify]: Simplify (+ 0 0) into 0 3.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 -1) (* 0 1))) into -1 3.763 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 3.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.764 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 3.764 * [backup-simplify]: Simplify -1/2 into -1/2 3.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.765 * [backup-simplify]: Simplify (- 0) into 0 3.765 * [backup-simplify]: Simplify (+ 0 0) into 0 3.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.766 * [backup-simplify]: Simplify (+ 0 0) into 0 3.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 -1) (* 0 1)))) into 0 3.767 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 3.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.768 * [backup-simplify]: Simplify (+ 0 0) into 0 3.768 * [backup-simplify]: Simplify 0 into 0 3.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.769 * [backup-simplify]: Simplify (- 0) into 0 3.769 * [backup-simplify]: Simplify (+ 0 0) into 0 3.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.770 * [backup-simplify]: Simplify (+ 0 0) into 0 3.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1))))) into 0 3.772 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.773 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 3.773 * [backup-simplify]: Simplify -1/8 into -1/8 3.773 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) (* 2 (/ 1 (/ 1 x))))) into (- (* 2 x) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 3.773 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (* (sqrt (+ (/ 1 (- x)) 1)) (sqrt (- (/ 1 (- x)) 1)))) into (- (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) (/ 1 x)) 3.773 * [approximate]: Taking taylor expansion of (- (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) (/ 1 x)) in (x) around 0 3.773 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) (/ 1 x)) in x 3.773 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) in x 3.773 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 3.773 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 3.773 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 3.773 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.773 * [taylor]: Taking taylor expansion of x in x 3.773 * [backup-simplify]: Simplify 0 into 0 3.773 * [backup-simplify]: Simplify 1 into 1 3.774 * [backup-simplify]: Simplify (/ 1 1) into 1 3.774 * [taylor]: Taking taylor expansion of 1 in x 3.774 * [backup-simplify]: Simplify 1 into 1 3.774 * [backup-simplify]: Simplify (+ 1 0) into 1 3.774 * [backup-simplify]: Simplify (- 1) into -1 3.774 * [backup-simplify]: Simplify (sqrt 0) into 0 3.775 * [backup-simplify]: Simplify (- 1) into -1 3.775 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.776 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 3.776 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 3.776 * [taylor]: Taking taylor expansion of 1 in x 3.776 * [backup-simplify]: Simplify 1 into 1 3.776 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.776 * [taylor]: Taking taylor expansion of x in x 3.776 * [backup-simplify]: Simplify 0 into 0 3.776 * [backup-simplify]: Simplify 1 into 1 3.776 * [backup-simplify]: Simplify (/ 1 1) into 1 3.776 * [backup-simplify]: Simplify (- 1) into -1 3.776 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.777 * [backup-simplify]: Simplify (sqrt 0) into 0 3.777 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.777 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.777 * [taylor]: Taking taylor expansion of x in x 3.777 * [backup-simplify]: Simplify 0 into 0 3.777 * [backup-simplify]: Simplify 1 into 1 3.778 * [backup-simplify]: Simplify (/ 1 1) into 1 3.778 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) (/ 1 x)) in x 3.778 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) in x 3.778 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 3.778 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 3.778 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 3.778 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.778 * [taylor]: Taking taylor expansion of x in x 3.778 * [backup-simplify]: Simplify 0 into 0 3.778 * [backup-simplify]: Simplify 1 into 1 3.778 * [backup-simplify]: Simplify (/ 1 1) into 1 3.778 * [taylor]: Taking taylor expansion of 1 in x 3.778 * [backup-simplify]: Simplify 1 into 1 3.779 * [backup-simplify]: Simplify (+ 1 0) into 1 3.779 * [backup-simplify]: Simplify (- 1) into -1 3.779 * [backup-simplify]: Simplify (sqrt 0) into 0 3.780 * [backup-simplify]: Simplify (- 1) into -1 3.781 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.781 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 3.781 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 3.781 * [taylor]: Taking taylor expansion of 1 in x 3.781 * [backup-simplify]: Simplify 1 into 1 3.781 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.781 * [taylor]: Taking taylor expansion of x in x 3.781 * [backup-simplify]: Simplify 0 into 0 3.781 * [backup-simplify]: Simplify 1 into 1 3.782 * [backup-simplify]: Simplify (/ 1 1) into 1 3.782 * [backup-simplify]: Simplify (- 1) into -1 3.782 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.783 * [backup-simplify]: Simplify (sqrt 0) into 0 3.784 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.784 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.784 * [taylor]: Taking taylor expansion of x in x 3.784 * [backup-simplify]: Simplify 0 into 0 3.784 * [backup-simplify]: Simplify 1 into 1 3.785 * [backup-simplify]: Simplify (/ 1 1) into 1 3.785 * [backup-simplify]: Simplify (* 0 0) into 0 3.785 * [backup-simplify]: Simplify (+ 0 0) into 0 3.785 * [backup-simplify]: Simplify 0 into 0 3.786 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 3.786 * [backup-simplify]: Simplify (- 1) into -1 3.787 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.787 * [backup-simplify]: Simplify -1 into -1 3.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.788 * [backup-simplify]: Simplify (- 0) into 0 3.788 * [backup-simplify]: Simplify (+ 1 0) into 1 3.791 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.793 * [backup-simplify]: Simplify (+ 0 1) into 1 3.793 * [backup-simplify]: Simplify (- 1) into -1 3.796 * [backup-simplify]: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.799 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 3.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.800 * [backup-simplify]: Simplify (- 0) into 0 3.801 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 3.801 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.802 * [backup-simplify]: Simplify (- 0) into 0 3.803 * [backup-simplify]: Simplify (+ 0 0) into 0 3.807 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.808 * [backup-simplify]: Simplify (+ 0 0) into 0 3.808 * [backup-simplify]: Simplify (- 0) into 0 3.812 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.816 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 3.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.817 * [backup-simplify]: Simplify (- 0) into 0 3.818 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 3.818 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.819 * [backup-simplify]: Simplify (+ (* (- +nan.0) (/ 1 (- x))) (+ (- +nan.0) (* -1 (/ 1 (/ 1 (- x)))))) into (- x (+ (* +nan.0 (/ 1 x)) (- +nan.0))) 3.819 * * * [progress]: simplifying candidates 3.820 * * * * [progress]: [ 1 / 62 ] simplifiying candidate # 3.820 * [simplify]: Simplifying (* (+ x 1) (- x 1)) 3.820 * * [simplify]: iters left: 4 (5 enodes) 3.823 * * [simplify]: iters left: 3 (22 enodes) 3.831 * * [simplify]: iters left: 2 (40 enodes) 3.850 * * [simplify]: iters left: 1 (74 enodes) 3.874 * * [simplify]: Extracting #0: cost 1 inf + 0 3.874 * * [simplify]: Extracting #1: cost 19 inf + 0 3.874 * * [simplify]: Extracting #2: cost 23 inf + 3 3.875 * * [simplify]: Extracting #3: cost 9 inf + 908 3.876 * * [simplify]: Extracting #4: cost 0 inf + 1844 3.877 * [simplify]: Simplified to (- (* x (+ 1 x)) (+ 1 x)) 3.877 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (pow (- (* x (+ 1 x)) (+ 1 x)) 1/2)))) 3.877 * * * * [progress]: [ 2 / 62 ] simplifiying candidate # 3.877 * [simplify]: Simplifying (* (sqrt (+ x 1)) (sqrt (- x 1))) 3.877 * * [simplify]: iters left: 5 (7 enodes) 3.881 * * [simplify]: iters left: 4 (28 enodes) 3.890 * * [simplify]: iters left: 3 (32 enodes) 3.900 * * [simplify]: Extracting #0: cost 1 inf + 0 3.900 * * [simplify]: Extracting #1: cost 4 inf + 0 3.900 * * [simplify]: Extracting #2: cost 8 inf + 0 3.900 * * [simplify]: Extracting #3: cost 13 inf + 0 3.900 * * [simplify]: Extracting #4: cost 10 inf + 3 3.900 * * [simplify]: Extracting #5: cost 4 inf + 375 3.901 * * [simplify]: Extracting #6: cost 1 inf + 701 3.901 * * [simplify]: Extracting #7: cost 0 inf + 903 3.901 * [simplify]: Simplified to (* (sqrt (+ 1 x)) (sqrt (- x 1))) 3.901 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (pow (* (sqrt (+ 1 x)) (sqrt (- x 1))) 1)))) 3.902 * * * * [progress]: [ 3 / 62 ] simplifiying candidate # 3.902 * [simplify]: Simplifying (* (+ x 1) (- x 1)) 3.902 * * [simplify]: iters left: 4 (5 enodes) 3.905 * * [simplify]: iters left: 3 (22 enodes) 3.913 * * [simplify]: iters left: 2 (40 enodes) 3.929 * * [simplify]: iters left: 1 (74 enodes) 3.953 * * [simplify]: Extracting #0: cost 1 inf + 0 3.953 * * [simplify]: Extracting #1: cost 19 inf + 0 3.954 * * [simplify]: Extracting #2: cost 23 inf + 3 3.954 * * [simplify]: Extracting #3: cost 9 inf + 908 3.955 * * [simplify]: Extracting #4: cost 0 inf + 1844 3.956 * [simplify]: Simplified to (- (* x (+ 1 x)) (+ 1 x)) 3.956 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (pow (- (* x (+ 1 x)) (+ 1 x)) (/ 1 2))))) 3.957 * [simplify]: Simplifying (/ 1 2) 3.957 * * [simplify]: iters left: 2 (3 enodes) 3.960 * * [simplify]: iters left: 1 (12 enodes) 3.964 * * [simplify]: Extracting #0: cost 1 inf + 0 3.964 * * [simplify]: Extracting #1: cost 0 inf + 1 3.964 * [simplify]: Simplified to 1/2 3.964 * [simplify]: Simplified (2 1 2 2) to (λ (x) (log (+ x (pow (* (+ x 1) (- x 1)) 1/2)))) 3.964 * * * * [progress]: [ 4 / 62 ] simplifiying candidate # 3.964 * * * * [progress]: [ 5 / 62 ] simplifiying candidate # 3.964 * [simplify]: Simplifying (+ (log (sqrt (+ x 1))) (log (sqrt (- x 1)))) 3.964 * * [simplify]: iters left: 6 (9 enodes) 3.967 * * [simplify]: iters left: 5 (34 enodes) 3.973 * * [simplify]: iters left: 4 (38 enodes) 3.980 * * [simplify]: Extracting #0: cost 1 inf + 0 3.980 * * [simplify]: Extracting #1: cost 4 inf + 0 3.980 * * [simplify]: Extracting #2: cost 8 inf + 0 3.980 * * [simplify]: Extracting #3: cost 12 inf + 0 3.980 * * [simplify]: Extracting #4: cost 17 inf + 0 3.980 * * [simplify]: Extracting #5: cost 14 inf + 3 3.980 * * [simplify]: Extracting #6: cost 10 inf + 211 3.980 * * [simplify]: Extracting #7: cost 4 inf + 803 3.980 * * [simplify]: Extracting #8: cost 0 inf + 1791 3.981 * [simplify]: Simplified to (+ (log (sqrt (- x 1))) (log (sqrt (+ 1 x)))) 3.981 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (exp (+ (log (sqrt (- x 1))) (log (sqrt (+ 1 x)))))))) 3.981 * * * * [progress]: [ 6 / 62 ] simplifiying candidate # 3.981 * * * * [progress]: [ 7 / 62 ] simplifiying candidate # 3.981 * * * * [progress]: [ 8 / 62 ] simplifiying candidate # 3.981 * [simplify]: Simplifying (* (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1))) (* (* (sqrt (- x 1)) (sqrt (- x 1))) (sqrt (- x 1)))) 3.981 * * [simplify]: iters left: 6 (11 enodes) 3.985 * * [simplify]: iters left: 5 (42 enodes) 3.995 * * [simplify]: iters left: 4 (85 enodes) 4.026 * * [simplify]: iters left: 3 (207 enodes) 4.115 * * [simplify]: Extracting #0: cost 1 inf + 0 4.115 * * [simplify]: Extracting #1: cost 36 inf + 0 4.116 * * [simplify]: Extracting #2: cost 118 inf + 1 4.117 * * [simplify]: Extracting #3: cost 136 inf + 172 4.119 * * [simplify]: Extracting #4: cost 110 inf + 2596 4.126 * * [simplify]: Extracting #5: cost 29 inf + 22705 4.139 * * [simplify]: Extracting #6: cost 0 inf + 30584 4.155 * [simplify]: Simplified to (* (* (sqrt (+ x -1)) (+ x -1)) (* (sqrt (+ 1 x)) (+ 1 x))) 4.155 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (cbrt (* (* (sqrt (+ x -1)) (+ x -1)) (* (sqrt (+ 1 x)) (+ 1 x))))))) 4.156 * * * * [progress]: [ 9 / 62 ] simplifiying candidate # 4.156 * * * * [progress]: [ 10 / 62 ] simplifiying candidate # 4.156 * * * * [progress]: [ 11 / 62 ] simplifiying candidate # 4.156 * [simplify]: Simplifying (* (+ x 1) (- x 1)) 4.156 * * [simplify]: iters left: 4 (5 enodes) 4.160 * * [simplify]: iters left: 3 (22 enodes) 4.168 * * [simplify]: iters left: 2 (40 enodes) 4.184 * * [simplify]: iters left: 1 (74 enodes) 4.208 * * [simplify]: Extracting #0: cost 1 inf + 0 4.208 * * [simplify]: Extracting #1: cost 19 inf + 0 4.208 * * [simplify]: Extracting #2: cost 23 inf + 3 4.209 * * [simplify]: Extracting #3: cost 9 inf + 908 4.209 * * [simplify]: Extracting #4: cost 0 inf + 1844 4.210 * [simplify]: Simplified to (- (* x (+ 1 x)) (+ 1 x)) 4.211 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (sqrt (- (* x (+ 1 x)) (+ 1 x)))))) 4.211 * * * * [progress]: [ 12 / 62 ] simplifiying candidate # 4.211 * * * * [progress]: [ 13 / 62 ] simplifiying candidate # 4.211 * [simplify]: Simplifying (* (sqrt (+ (pow x 3) (pow 1 3))) (sqrt (- (pow x 3) (pow 1 3)))) 4.211 * * [simplify]: iters left: 6 (10 enodes) 4.218 * * [simplify]: iters left: 5 (45 enodes) 4.227 * * [simplify]: iters left: 4 (68 enodes) 4.241 * * [simplify]: iters left: 3 (101 enodes) 4.272 * * [simplify]: iters left: 2 (161 enodes) 4.337 * * [simplify]: iters left: 1 (337 enodes) 4.459 * * [simplify]: Extracting #0: cost 1 inf + 0 4.459 * * [simplify]: Extracting #1: cost 4 inf + 0 4.460 * * [simplify]: Extracting #2: cost 8 inf + 0 4.460 * * [simplify]: Extracting #3: cost 42 inf + 0 4.460 * * [simplify]: Extracting #4: cost 134 inf + 2 4.461 * * [simplify]: Extracting #5: cost 192 inf + 1936 4.462 * * [simplify]: Extracting #6: cost 180 inf + 4629 4.464 * * [simplify]: Extracting #7: cost 110 inf + 32376 4.471 * * [simplify]: Extracting #8: cost 13 inf + 83570 4.485 * * [simplify]: Extracting #9: cost 0 inf + 92381 4.500 * [simplify]: Simplified to (* (sqrt (+ 1 (* x (* x x)))) (sqrt (+ -1 (* x (* x x))))) 4.500 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (/ (* (sqrt (+ 1 (* x (* x x)))) (sqrt (+ -1 (* x (* x x))))) (* (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (sqrt (+ (* x x) (+ (* 1 1) (* x 1))))))))) 4.501 * [simplify]: Simplifying (* (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (sqrt (+ (* x x) (+ (* 1 1) (* x 1))))) 4.501 * * [simplify]: iters left: 6 (12 enodes) 4.507 * * [simplify]: iters left: 5 (44 enodes) 4.517 * * [simplify]: iters left: 4 (70 enodes) 4.529 * * [simplify]: iters left: 3 (92 enodes) 4.542 * * [simplify]: iters left: 2 (106 enodes) 4.570 * * [simplify]: iters left: 1 (127 enodes) 4.594 * * [simplify]: Extracting #0: cost 1 inf + 0 4.594 * * [simplify]: Extracting #1: cost 4 inf + 0 4.594 * * [simplify]: Extracting #2: cost 8 inf + 0 4.594 * * [simplify]: Extracting #3: cost 24 inf + 0 4.595 * * [simplify]: Extracting #4: cost 30 inf + 412 4.595 * * [simplify]: Extracting #5: cost 4 inf + 2810 4.596 * * [simplify]: Extracting #6: cost 0 inf + 3338 4.597 * [simplify]: Simplified to (* (sqrt (- (* x x) (- x 1))) (sqrt (+ (* x x) (+ x 1)))) 4.597 * [simplify]: Simplified (2 1 2 2) to (λ (x) (log (+ x (/ (* (sqrt (+ 1 (* x (* x x)))) (sqrt (+ -1 (* x (* x x))))) (* (sqrt (- (* x x) (- x 1))) (sqrt (+ (* x x) (+ x 1)))))))) 4.597 * * * * [progress]: [ 14 / 62 ] simplifiying candidate # 4.597 * [simplify]: Simplifying (* (sqrt (+ (pow x 3) (pow 1 3))) (sqrt (- (* x x) (* 1 1)))) 4.597 * * [simplify]: iters left: 6 (12 enodes) 4.601 * * [simplify]: iters left: 5 (47 enodes) 4.610 * * [simplify]: iters left: 4 (68 enodes) 4.625 * * [simplify]: iters left: 3 (101 enodes) 4.658 * * [simplify]: iters left: 2 (158 enodes) 4.718 * * [simplify]: iters left: 1 (292 enodes) 4.802 * * [simplify]: Extracting #0: cost 1 inf + 0 4.802 * * [simplify]: Extracting #1: cost 4 inf + 0 4.802 * * [simplify]: Extracting #2: cost 8 inf + 0 4.802 * * [simplify]: Extracting #3: cost 32 inf + 0 4.803 * * [simplify]: Extracting #4: cost 49 inf + 44 4.804 * * [simplify]: Extracting #5: cost 74 inf + 950 4.805 * * [simplify]: Extracting #6: cost 57 inf + 3755 4.809 * * [simplify]: Extracting #7: cost 22 inf + 19611 4.814 * * [simplify]: Extracting #8: cost 2 inf + 29924 4.819 * * [simplify]: Extracting #9: cost 0 inf + 31061 4.823 * [simplify]: Simplified to (* (sqrt (- (* x x) 1)) (sqrt (+ 1 (* (* x x) x)))) 4.823 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (/ (* (sqrt (- (* x x) 1)) (sqrt (+ 1 (* (* x x) x)))) (* (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (sqrt (+ x 1))))))) 4.824 * [simplify]: Simplifying (* (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (sqrt (+ x 1))) 4.824 * * [simplify]: iters left: 6 (11 enodes) 4.827 * * [simplify]: iters left: 5 (38 enodes) 4.834 * * [simplify]: iters left: 4 (55 enodes) 4.843 * * [simplify]: iters left: 3 (72 enodes) 4.853 * * [simplify]: iters left: 2 (85 enodes) 4.868 * * [simplify]: iters left: 1 (103 enodes) 4.899 * * [simplify]: Extracting #0: cost 1 inf + 0 4.899 * * [simplify]: Extracting #1: cost 4 inf + 0 4.899 * * [simplify]: Extracting #2: cost 8 inf + 0 4.899 * * [simplify]: Extracting #3: cost 22 inf + 0 4.899 * * [simplify]: Extracting #4: cost 32 inf + 2 4.900 * * [simplify]: Extracting #5: cost 18 inf + 700 4.901 * * [simplify]: Extracting #6: cost 2 inf + 2128 4.902 * * [simplify]: Extracting #7: cost 0 inf + 2692 4.903 * [simplify]: Simplified to (* (sqrt (+ x 1)) (sqrt (- 1 (- x (* x x))))) 4.903 * [simplify]: Simplified (2 1 2 2) to (λ (x) (log (+ x (/ (* (sqrt (- (* x x) 1)) (sqrt (+ 1 (* (* x x) x)))) (* (sqrt (+ x 1)) (sqrt (- 1 (- x (* x x))))))))) 4.904 * * * * [progress]: [ 15 / 62 ] simplifiying candidate # 4.904 * [simplify]: Simplifying (* (sqrt (- (* x x) (* 1 1))) (sqrt (- (pow x 3) (pow 1 3)))) 4.904 * * [simplify]: iters left: 6 (12 enodes) 4.915 * * [simplify]: iters left: 5 (48 enodes) 4.932 * * [simplify]: iters left: 4 (72 enodes) 4.955 * * [simplify]: iters left: 3 (112 enodes) 4.976 * * [simplify]: iters left: 2 (188 enodes) 5.055 * * [simplify]: iters left: 1 (404 enodes) 5.211 * * [simplify]: Extracting #0: cost 1 inf + 0 5.211 * * [simplify]: Extracting #1: cost 4 inf + 0 5.211 * * [simplify]: Extracting #2: cost 8 inf + 0 5.212 * * [simplify]: Extracting #3: cost 61 inf + 0 5.212 * * [simplify]: Extracting #4: cost 160 inf + 85 5.214 * * [simplify]: Extracting #5: cost 206 inf + 2860 5.216 * * [simplify]: Extracting #6: cost 159 inf + 14455 5.221 * * [simplify]: Extracting #7: cost 79 inf + 57309 5.234 * * [simplify]: Extracting #8: cost 1 inf + 103240 5.252 * * [simplify]: Extracting #9: cost 0 inf + 100699 5.270 * * [simplify]: Extracting #10: cost 0 inf + 100517 5.281 * [simplify]: Simplified to (* (sqrt (- (* x x) 1)) (sqrt (+ -1 (* x (* x x))))) 5.281 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (/ (* (sqrt (- (* x x) 1)) (sqrt (+ -1 (* x (* x x))))) (* (sqrt (- x 1)) (sqrt (+ (* x x) (+ (* 1 1) (* x 1))))))))) 5.281 * [simplify]: Simplifying (* (sqrt (- x 1)) (sqrt (+ (* x x) (+ (* 1 1) (* x 1))))) 5.281 * * [simplify]: iters left: 6 (11 enodes) 5.285 * * [simplify]: iters left: 5 (39 enodes) 5.291 * * [simplify]: iters left: 4 (53 enodes) 5.299 * * [simplify]: iters left: 3 (58 enodes) 5.308 * * [simplify]: iters left: 2 (59 enodes) 5.323 * * [simplify]: iters left: 1 (62 enodes) 5.337 * * [simplify]: Extracting #0: cost 1 inf + 0 5.337 * * [simplify]: Extracting #1: cost 4 inf + 0 5.337 * * [simplify]: Extracting #2: cost 8 inf + 0 5.337 * * [simplify]: Extracting #3: cost 17 inf + 0 5.338 * * [simplify]: Extracting #4: cost 18 inf + 3 5.338 * * [simplify]: Extracting #5: cost 9 inf + 538 5.338 * * [simplify]: Extracting #6: cost 4 inf + 1027 5.338 * * [simplify]: Extracting #7: cost 0 inf + 1877 5.339 * [simplify]: Simplified to (* (sqrt (+ x -1)) (sqrt (+ (+ 1 x) (* x x)))) 5.339 * [simplify]: Simplified (2 1 2 2) to (λ (x) (log (+ x (/ (* (sqrt (- (* x x) 1)) (sqrt (+ -1 (* x (* x x))))) (* (sqrt (+ x -1)) (sqrt (+ (+ 1 x) (* x x)))))))) 5.339 * * * * [progress]: [ 16 / 62 ] simplifiying candidate # 5.339 * [simplify]: Simplifying (* (sqrt (- (* x x) (* 1 1))) (sqrt (- (* x x) (* 1 1)))) 5.339 * * [simplify]: iters left: 6 (7 enodes) 5.341 * * [simplify]: iters left: 5 (22 enodes) 5.347 * * [simplify]: iters left: 4 (30 enodes) 5.352 * * [simplify]: iters left: 3 (37 enodes) 5.359 * * [simplify]: iters left: 2 (53 enodes) 5.372 * * [simplify]: iters left: 1 (90 enodes) 5.400 * * [simplify]: Extracting #0: cost 1 inf + 0 5.400 * * [simplify]: Extracting #1: cost 24 inf + 0 5.400 * * [simplify]: Extracting #2: cost 26 inf + 127 5.401 * * [simplify]: Extracting #3: cost 2 inf + 2252 5.403 * * [simplify]: Extracting #4: cost 0 inf + 2497 5.404 * [simplify]: Simplified to (- (* x x) 1) 5.404 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (/ (- (* x x) 1) (* (sqrt (- x 1)) (sqrt (+ x 1))))))) 5.404 * [simplify]: Simplifying (* (sqrt (- x 1)) (sqrt (+ x 1))) 5.404 * * [simplify]: iters left: 5 (7 enodes) 5.409 * * [simplify]: iters left: 4 (28 enodes) 5.418 * * [simplify]: iters left: 3 (32 enodes) 5.428 * * [simplify]: Extracting #0: cost 1 inf + 0 5.428 * * [simplify]: Extracting #1: cost 4 inf + 0 5.428 * * [simplify]: Extracting #2: cost 8 inf + 0 5.428 * * [simplify]: Extracting #3: cost 13 inf + 0 5.428 * * [simplify]: Extracting #4: cost 10 inf + 3 5.428 * * [simplify]: Extracting #5: cost 4 inf + 375 5.429 * * [simplify]: Extracting #6: cost 1 inf + 701 5.429 * * [simplify]: Extracting #7: cost 0 inf + 903 5.429 * [simplify]: Simplified to (* (sqrt (- x 1)) (sqrt (+ 1 x))) 5.429 * [simplify]: Simplified (2 1 2 2) to (λ (x) (log (+ x (/ (- (* x x) 1) (* (sqrt (- x 1)) (sqrt (+ 1 x))))))) 5.430 * * * * [progress]: [ 17 / 62 ] simplifiying candidate # 5.430 * * * * [progress]: [ 18 / 62 ] simplifiying candidate # 5.430 * [simplify]: Simplifying (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) 5.430 * * [simplify]: iters left: 6 (9 enodes) 5.435 * * [simplify]: iters left: 5 (34 enodes) 5.446 * * [simplify]: iters left: 4 (38 enodes) 5.457 * * [simplify]: Extracting #0: cost 1 inf + 0 5.457 * * [simplify]: Extracting #1: cost 4 inf + 0 5.457 * * [simplify]: Extracting #2: cost 8 inf + 0 5.457 * * [simplify]: Extracting #3: cost 12 inf + 0 5.457 * * [simplify]: Extracting #4: cost 17 inf + 0 5.457 * * [simplify]: Extracting #5: cost 14 inf + 3 5.457 * * [simplify]: Extracting #6: cost 10 inf + 211 5.458 * * [simplify]: Extracting #7: cost 4 inf + 743 5.458 * * [simplify]: Extracting #8: cost 0 inf + 1551 5.459 * [simplify]: Simplified to (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ 1 x)))) 5.459 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (* (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ 1 x)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))))))) 5.459 * [simplify]: Simplifying (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) 5.459 * * [simplify]: iters left: 6 (9 enodes) 5.464 * * [simplify]: iters left: 5 (34 enodes) 5.475 * * [simplify]: iters left: 4 (38 enodes) 5.487 * * [simplify]: Extracting #0: cost 1 inf + 0 5.487 * * [simplify]: Extracting #1: cost 4 inf + 0 5.487 * * [simplify]: Extracting #2: cost 8 inf + 0 5.487 * * [simplify]: Extracting #3: cost 12 inf + 0 5.489 * * [simplify]: Extracting #4: cost 17 inf + 0 5.489 * * [simplify]: Extracting #5: cost 14 inf + 3 5.489 * * [simplify]: Extracting #6: cost 10 inf + 211 5.490 * * [simplify]: Extracting #7: cost 4 inf + 743 5.490 * * [simplify]: Extracting #8: cost 0 inf + 1551 5.491 * [simplify]: Simplified to (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ 1 x)))) 5.491 * [simplify]: Simplified (2 1 2 2) to (λ (x) (log (+ x (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ 1 x)))))))) 5.491 * * * * [progress]: [ 19 / 62 ] simplifiying candidate # 5.491 * [simplify]: Simplifying (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) 5.491 * * [simplify]: iters left: 6 (9 enodes) 5.496 * * [simplify]: iters left: 5 (34 enodes) 5.507 * * [simplify]: iters left: 4 (38 enodes) 5.519 * * [simplify]: Extracting #0: cost 1 inf + 0 5.519 * * [simplify]: Extracting #1: cost 4 inf + 0 5.519 * * [simplify]: Extracting #2: cost 8 inf + 0 5.519 * * [simplify]: Extracting #3: cost 12 inf + 0 5.519 * * [simplify]: Extracting #4: cost 17 inf + 0 5.519 * * [simplify]: Extracting #5: cost 14 inf + 3 5.519 * * [simplify]: Extracting #6: cost 10 inf + 211 5.520 * * [simplify]: Extracting #7: cost 4 inf + 743 5.520 * * [simplify]: Extracting #8: cost 0 inf + 1551 5.521 * [simplify]: Simplified to (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ 1 x)))) 5.521 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (* (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ 1 x)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))))))) 5.521 * [simplify]: Simplifying (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) 5.521 * * [simplify]: iters left: 6 (9 enodes) 5.526 * * [simplify]: iters left: 5 (34 enodes) 5.536 * * [simplify]: iters left: 4 (38 enodes) 5.548 * * [simplify]: Extracting #0: cost 1 inf + 0 5.548 * * [simplify]: Extracting #1: cost 4 inf + 0 5.548 * * [simplify]: Extracting #2: cost 8 inf + 0 5.548 * * [simplify]: Extracting #3: cost 12 inf + 0 5.548 * * [simplify]: Extracting #4: cost 17 inf + 0 5.548 * * [simplify]: Extracting #5: cost 14 inf + 3 5.548 * * [simplify]: Extracting #6: cost 10 inf + 211 5.548 * * [simplify]: Extracting #7: cost 4 inf + 743 5.549 * * [simplify]: Extracting #8: cost 0 inf + 1551 5.549 * [simplify]: Simplified to (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ 1 x)))) 5.549 * [simplify]: Simplified (2 1 2 2) to (λ (x) (log (+ x (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ 1 x)))))))) 5.550 * * * * [progress]: [ 20 / 62 ] simplifiying candidate # 5.550 * [simplify]: Simplifying (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) 5.550 * * [simplify]: iters left: 6 (9 enodes) 5.555 * * [simplify]: iters left: 5 (34 enodes) 5.566 * * [simplify]: iters left: 4 (38 enodes) 5.577 * * [simplify]: Extracting #0: cost 1 inf + 0 5.577 * * [simplify]: Extracting #1: cost 4 inf + 0 5.577 * * [simplify]: Extracting #2: cost 8 inf + 0 5.577 * * [simplify]: Extracting #3: cost 12 inf + 0 5.578 * * [simplify]: Extracting #4: cost 17 inf + 0 5.578 * * [simplify]: Extracting #5: cost 14 inf + 3 5.578 * * [simplify]: Extracting #6: cost 10 inf + 211 5.578 * * [simplify]: Extracting #7: cost 4 inf + 743 5.579 * * [simplify]: Extracting #8: cost 0 inf + 1551 5.579 * [simplify]: Simplified to (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ 1 x)))) 5.579 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (* (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ 1 x)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))))))) 5.580 * [simplify]: Simplifying (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) 5.580 * * [simplify]: iters left: 6 (9 enodes) 5.585 * * [simplify]: iters left: 5 (34 enodes) 5.596 * * [simplify]: iters left: 4 (38 enodes) 5.608 * * [simplify]: Extracting #0: cost 1 inf + 0 5.608 * * [simplify]: Extracting #1: cost 4 inf + 0 5.608 * * [simplify]: Extracting #2: cost 8 inf + 0 5.608 * * [simplify]: Extracting #3: cost 12 inf + 0 5.608 * * [simplify]: Extracting #4: cost 17 inf + 0 5.608 * * [simplify]: Extracting #5: cost 14 inf + 3 5.608 * * [simplify]: Extracting #6: cost 10 inf + 211 5.608 * * [simplify]: Extracting #7: cost 4 inf + 743 5.609 * * [simplify]: Extracting #8: cost 0 inf + 1551 5.609 * [simplify]: Simplified to (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ 1 x)))) 5.609 * [simplify]: Simplified (2 1 2 2) to (λ (x) (log (+ x (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ 1 x)))))))) 5.610 * * * * [progress]: [ 21 / 62 ] simplifiying candidate # 5.610 * [simplify]: Simplifying (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) 5.610 * * [simplify]: iters left: 6 (9 enodes) 5.615 * * [simplify]: iters left: 5 (34 enodes) 5.625 * * [simplify]: iters left: 4 (38 enodes) 5.637 * * [simplify]: Extracting #0: cost 1 inf + 0 5.637 * * [simplify]: Extracting #1: cost 4 inf + 0 5.638 * * [simplify]: Extracting #2: cost 8 inf + 0 5.638 * * [simplify]: Extracting #3: cost 12 inf + 0 5.638 * * [simplify]: Extracting #4: cost 17 inf + 0 5.638 * * [simplify]: Extracting #5: cost 14 inf + 3 5.638 * * [simplify]: Extracting #6: cost 10 inf + 211 5.638 * * [simplify]: Extracting #7: cost 4 inf + 743 5.639 * * [simplify]: Extracting #8: cost 0 inf + 1551 5.639 * [simplify]: Simplified to (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ 1 x)))) 5.639 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (* (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ 1 x)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))))))) 5.640 * [simplify]: Simplifying (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) 5.640 * * [simplify]: iters left: 6 (9 enodes) 5.644 * * [simplify]: iters left: 5 (34 enodes) 5.652 * * [simplify]: iters left: 4 (38 enodes) 5.659 * * [simplify]: Extracting #0: cost 1 inf + 0 5.659 * * [simplify]: Extracting #1: cost 4 inf + 0 5.659 * * [simplify]: Extracting #2: cost 8 inf + 0 5.659 * * [simplify]: Extracting #3: cost 12 inf + 0 5.659 * * [simplify]: Extracting #4: cost 17 inf + 0 5.659 * * [simplify]: Extracting #5: cost 14 inf + 3 5.659 * * [simplify]: Extracting #6: cost 10 inf + 211 5.659 * * [simplify]: Extracting #7: cost 4 inf + 743 5.659 * * [simplify]: Extracting #8: cost 0 inf + 1551 5.660 * [simplify]: Simplified to (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ 1 x)))) 5.660 * [simplify]: Simplified (2 1 2 2) to (λ (x) (log (+ x (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ 1 x)))))))) 5.660 * * * * [progress]: [ 22 / 62 ] simplifiying candidate # 5.660 * [simplify]: Simplifying (cbrt (sqrt (- x 1))) 5.660 * * [simplify]: iters left: 4 (5 enodes) 5.662 * * [simplify]: iters left: 3 (20 enodes) 5.666 * * [simplify]: iters left: 2 (24 enodes) 5.670 * * [simplify]: Extracting #0: cost 1 inf + 0 5.670 * * [simplify]: Extracting #1: cost 3 inf + 0 5.670 * * [simplify]: Extracting #2: cost 5 inf + 0 5.670 * * [simplify]: Extracting #3: cost 9 inf + 0 5.670 * * [simplify]: Extracting #4: cost 6 inf + 3 5.670 * * [simplify]: Extracting #5: cost 0 inf + 575 5.670 * [simplify]: Simplified to (cbrt (sqrt (+ x -1))) 5.670 * [simplify]: Simplified (2 1 2 2) to (λ (x) (log (+ x (* (* (sqrt (+ x 1)) (* (cbrt (sqrt (- x 1))) (cbrt (sqrt (- x 1))))) (cbrt (sqrt (+ x -1))))))) 5.670 * * * * [progress]: [ 23 / 62 ] simplifiying candidate # 5.670 * [simplify]: Simplifying (sqrt (cbrt (- x 1))) 5.670 * * [simplify]: iters left: 4 (5 enodes) 5.672 * * [simplify]: iters left: 3 (20 enodes) 5.676 * * [simplify]: iters left: 2 (24 enodes) 5.684 * * [simplify]: Extracting #0: cost 1 inf + 0 5.684 * * [simplify]: Extracting #1: cost 3 inf + 0 5.684 * * [simplify]: Extracting #2: cost 5 inf + 0 5.684 * * [simplify]: Extracting #3: cost 9 inf + 0 5.684 * * [simplify]: Extracting #4: cost 6 inf + 3 5.684 * * [simplify]: Extracting #5: cost 0 inf + 655 5.684 * [simplify]: Simplified to (sqrt (cbrt (+ x -1))) 5.684 * [simplify]: Simplified (2 1 2 2) to (λ (x) (log (+ x (* (* (sqrt (+ x 1)) (sqrt (* (cbrt (- x 1)) (cbrt (- x 1))))) (sqrt (cbrt (+ x -1))))))) 5.684 * * * * [progress]: [ 24 / 62 ] simplifiying candidate # 5.685 * [simplify]: Simplifying (sqrt (sqrt (- x 1))) 5.685 * * [simplify]: iters left: 4 (5 enodes) 5.687 * * [simplify]: iters left: 3 (20 enodes) 5.691 * * [simplify]: iters left: 2 (24 enodes) 5.695 * * [simplify]: Extracting #0: cost 1 inf + 0 5.695 * * [simplify]: Extracting #1: cost 3 inf + 0 5.695 * * [simplify]: Extracting #2: cost 5 inf + 0 5.695 * * [simplify]: Extracting #3: cost 9 inf + 0 5.695 * * [simplify]: Extracting #4: cost 6 inf + 3 5.695 * * [simplify]: Extracting #5: cost 0 inf + 495 5.695 * [simplify]: Simplified to (sqrt (sqrt (+ x -1))) 5.695 * [simplify]: Simplified (2 1 2 2) to (λ (x) (log (+ x (* (* (sqrt (+ x 1)) (sqrt (sqrt (- x 1)))) (sqrt (sqrt (+ x -1))))))) 5.695 * * * * [progress]: [ 25 / 62 ] simplifiying candidate # 5.696 * [simplify]: Simplifying (sqrt (- x 1)) 5.696 * * [simplify]: iters left: 3 (4 enodes) 5.697 * * [simplify]: iters left: 2 (17 enodes) 5.700 * * [simplify]: iters left: 1 (21 enodes) 5.704 * * [simplify]: Extracting #0: cost 1 inf + 0 5.704 * * [simplify]: Extracting #1: cost 3 inf + 0 5.704 * * [simplify]: Extracting #2: cost 7 inf + 0 5.704 * * [simplify]: Extracting #3: cost 4 inf + 3 5.704 * * [simplify]: Extracting #4: cost 0 inf + 251 5.704 * [simplify]: Simplified to (sqrt (+ x -1)) 5.704 * [simplify]: Simplified (2 1 2 2) to (λ (x) (log (+ x (* (* (sqrt (+ x 1)) (sqrt 1)) (sqrt (+ x -1)))))) 5.704 * * * * [progress]: [ 26 / 62 ] simplifiying candidate # 5.704 * [simplify]: Simplifying (sqrt (- (sqrt x) (sqrt 1))) 5.704 * * [simplify]: iters left: 4 (6 enodes) 5.706 * * [simplify]: iters left: 3 (22 enodes) 5.710 * * [simplify]: iters left: 2 (31 enodes) 5.715 * * [simplify]: Extracting #0: cost 1 inf + 0 5.715 * * [simplify]: Extracting #1: cost 3 inf + 0 5.715 * * [simplify]: Extracting #2: cost 7 inf + 0 5.715 * * [simplify]: Extracting #3: cost 7 inf + 2 5.715 * * [simplify]: Extracting #4: cost 6 inf + 3 5.715 * * [simplify]: Extracting #5: cost 1 inf + 371 5.716 * * [simplify]: Extracting #6: cost 0 inf + 493 5.716 * [simplify]: Simplified to (sqrt (- (sqrt x) 1)) 5.716 * [simplify]: Simplified (2 1 2 2) to (λ (x) (log (+ x (* (* (sqrt (+ x 1)) (sqrt (+ (sqrt x) (sqrt 1)))) (sqrt (- (sqrt x) 1)))))) 5.716 * * * * [progress]: [ 27 / 62 ] simplifiying candidate # 5.716 * [simplify]: Simplifying (sqrt (- (sqrt x) 1)) 5.716 * * [simplify]: iters left: 4 (5 enodes) 5.718 * * [simplify]: iters left: 3 (20 enodes) 5.724 * * [simplify]: iters left: 2 (24 enodes) 5.732 * * [simplify]: Extracting #0: cost 1 inf + 0 5.732 * * [simplify]: Extracting #1: cost 3 inf + 0 5.732 * * [simplify]: Extracting #2: cost 7 inf + 0 5.732 * * [simplify]: Extracting #3: cost 7 inf + 2 5.732 * * [simplify]: Extracting #4: cost 6 inf + 3 5.732 * * [simplify]: Extracting #5: cost 0 inf + 493 5.732 * [simplify]: Simplified to (sqrt (- (sqrt x) 1)) 5.732 * [simplify]: Simplified (2 1 2 2) to (λ (x) (log (+ x (* (* (sqrt (+ x 1)) (sqrt (+ (sqrt x) 1))) (sqrt (- (sqrt x) 1)))))) 5.732 * * * * [progress]: [ 28 / 62 ] simplifiying candidate # 5.733 * [simplify]: Simplifying (sqrt (- (sqrt x) 1)) 5.733 * * [simplify]: iters left: 4 (5 enodes) 5.736 * * [simplify]: iters left: 3 (20 enodes) 5.743 * * [simplify]: iters left: 2 (24 enodes) 5.750 * * [simplify]: Extracting #0: cost 1 inf + 0 5.750 * * [simplify]: Extracting #1: cost 3 inf + 0 5.750 * * [simplify]: Extracting #2: cost 7 inf + 0 5.750 * * [simplify]: Extracting #3: cost 7 inf + 2 5.750 * * [simplify]: Extracting #4: cost 6 inf + 3 5.751 * * [simplify]: Extracting #5: cost 0 inf + 493 5.751 * [simplify]: Simplified to (sqrt (- (sqrt x) 1)) 5.751 * [simplify]: Simplified (2 1 2 2) to (λ (x) (log (+ x (* (* (sqrt (+ x 1)) (sqrt (+ (sqrt x) 1))) (sqrt (- (sqrt x) 1)))))) 5.751 * * * * [progress]: [ 29 / 62 ] simplifiying candidate # 5.751 * [simplify]: Simplifying (sqrt (- x 1)) 5.751 * * [simplify]: iters left: 3 (4 enodes) 5.754 * * [simplify]: iters left: 2 (17 enodes) 5.760 * * [simplify]: iters left: 1 (21 enodes) 5.767 * * [simplify]: Extracting #0: cost 1 inf + 0 5.767 * * [simplify]: Extracting #1: cost 3 inf + 0 5.767 * * [simplify]: Extracting #2: cost 7 inf + 0 5.767 * * [simplify]: Extracting #3: cost 4 inf + 3 5.767 * * [simplify]: Extracting #4: cost 0 inf + 251 5.767 * [simplify]: Simplified to (sqrt (+ x -1)) 5.767 * [simplify]: Simplified (2 1 2 2) to (λ (x) (log (+ x (* (* (sqrt (+ x 1)) (sqrt 1)) (sqrt (+ x -1)))))) 5.767 * * * * [progress]: [ 30 / 62 ] simplifiying candidate # 5.768 * [simplify]: Simplifying (sqrt (sqrt (- x 1))) 5.768 * * [simplify]: iters left: 4 (5 enodes) 5.771 * * [simplify]: iters left: 3 (20 enodes) 5.780 * * [simplify]: iters left: 2 (24 enodes) 5.787 * * [simplify]: Extracting #0: cost 1 inf + 0 5.787 * * [simplify]: Extracting #1: cost 3 inf + 0 5.787 * * [simplify]: Extracting #2: cost 5 inf + 0 5.787 * * [simplify]: Extracting #3: cost 9 inf + 0 5.787 * * [simplify]: Extracting #4: cost 6 inf + 3 5.788 * * [simplify]: Extracting #5: cost 0 inf + 495 5.788 * [simplify]: Simplified to (sqrt (sqrt (+ x -1))) 5.788 * [simplify]: Simplified (2 1 2 2) to (λ (x) (log (+ x (* (* (sqrt (+ x 1)) (sqrt (sqrt (- x 1)))) (sqrt (sqrt (+ x -1))))))) 5.788 * * * * [progress]: [ 31 / 62 ] simplifiying candidate # 5.788 * [simplify]: Simplifying (sqrt (- x 1)) 5.788 * * [simplify]: iters left: 3 (4 enodes) 5.791 * * [simplify]: iters left: 2 (17 enodes) 5.797 * * [simplify]: iters left: 1 (21 enodes) 5.804 * * [simplify]: Extracting #0: cost 1 inf + 0 5.804 * * [simplify]: Extracting #1: cost 3 inf + 0 5.804 * * [simplify]: Extracting #2: cost 7 inf + 0 5.804 * * [simplify]: Extracting #3: cost 4 inf + 3 5.804 * * [simplify]: Extracting #4: cost 0 inf + 251 5.804 * [simplify]: Simplified to (sqrt (+ x -1)) 5.804 * [simplify]: Simplified (2 1 2 2) to (λ (x) (log (+ x (* (* (sqrt (+ x 1)) 1) (sqrt (+ x -1)))))) 5.805 * * * * [progress]: [ 32 / 62 ] simplifiying candidate # 5.805 * [simplify]: Simplifying (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))) 5.805 * * [simplify]: iters left: 6 (6 enodes) 5.807 * * [simplify]: iters left: 5 (21 enodes) 5.811 * * [simplify]: iters left: 4 (23 enodes) 5.815 * * [simplify]: Extracting #0: cost 1 inf + 0 5.815 * * [simplify]: Extracting #1: cost 3 inf + 0 5.815 * * [simplify]: Extracting #2: cost 5 inf + 0 5.815 * * [simplify]: Extracting #3: cost 7 inf + 0 5.815 * * [simplify]: Extracting #4: cost 10 inf + 0 5.815 * * [simplify]: Extracting #5: cost 8 inf + 2 5.815 * * [simplify]: Extracting #6: cost 0 inf + 978 5.815 * [simplify]: Simplified to (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))) 5.815 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (* (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))) (* (cbrt (sqrt (+ x 1))) (sqrt (- x 1))))))) 5.815 * * * * [progress]: [ 33 / 62 ] simplifiying candidate # 5.816 * [simplify]: Simplifying (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))) 5.816 * * [simplify]: iters left: 6 (6 enodes) 5.817 * * [simplify]: iters left: 5 (22 enodes) 5.821 * * [simplify]: iters left: 4 (24 enodes) 5.825 * * [simplify]: Extracting #0: cost 1 inf + 0 5.825 * * [simplify]: Extracting #1: cost 4 inf + 0 5.825 * * [simplify]: Extracting #2: cost 7 inf + 0 5.825 * * [simplify]: Extracting #3: cost 10 inf + 0 5.825 * * [simplify]: Extracting #4: cost 8 inf + 2 5.825 * * [simplify]: Extracting #5: cost 1 inf + 816 5.825 * * [simplify]: Extracting #6: cost 0 inf + 978 5.825 * [simplify]: Simplified to (fabs (cbrt (+ 1 x))) 5.825 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (* (fabs (cbrt (+ 1 x))) (* (sqrt (cbrt (+ x 1))) (sqrt (- x 1))))))) 5.826 * * * * [progress]: [ 34 / 62 ] simplifiying candidate # 5.826 * [simplify]: Simplifying (sqrt (sqrt (+ x 1))) 5.826 * * [simplify]: iters left: 4 (5 enodes) 5.828 * * [simplify]: iters left: 3 (18 enodes) 5.834 * * [simplify]: iters left: 2 (20 enodes) 5.840 * * [simplify]: Extracting #0: cost 1 inf + 0 5.840 * * [simplify]: Extracting #1: cost 3 inf + 0 5.840 * * [simplify]: Extracting #2: cost 5 inf + 0 5.840 * * [simplify]: Extracting #3: cost 8 inf + 0 5.840 * * [simplify]: Extracting #4: cost 6 inf + 2 5.840 * * [simplify]: Extracting #5: cost 0 inf + 494 5.841 * [simplify]: Simplified to (sqrt (sqrt (+ 1 x))) 5.841 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (* (sqrt (sqrt (+ 1 x))) (* (sqrt (sqrt (+ x 1))) (sqrt (- x 1))))))) 5.841 * * * * [progress]: [ 35 / 62 ] simplifiying candidate # 5.841 * [simplify]: Simplifying (sqrt 1) 5.841 * * [simplify]: iters left: 1 (2 enodes) 5.844 * * [simplify]: Extracting #0: cost 1 inf + 0 5.844 * * [simplify]: Extracting #1: cost 0 inf + 1 5.844 * [simplify]: Simplified to 1 5.844 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (* 1 (* (sqrt (+ x 1)) (sqrt (- x 1))))))) 5.844 * * * * [progress]: [ 36 / 62 ] simplifiying candidate # 5.845 * [simplify]: Simplifying (sqrt 1) 5.845 * * [simplify]: iters left: 1 (2 enodes) 5.848 * * [simplify]: Extracting #0: cost 1 inf + 0 5.848 * * [simplify]: Extracting #1: cost 0 inf + 1 5.848 * [simplify]: Simplified to 1 5.848 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (* 1 (* (sqrt (+ x 1)) (sqrt (- x 1))))))) 5.848 * * * * [progress]: [ 37 / 62 ] simplifiying candidate # 5.848 * [simplify]: Simplifying (sqrt (sqrt (+ x 1))) 5.848 * * [simplify]: iters left: 4 (5 enodes) 5.851 * * [simplify]: iters left: 3 (18 enodes) 5.856 * * [simplify]: iters left: 2 (20 enodes) 5.863 * * [simplify]: Extracting #0: cost 1 inf + 0 5.863 * * [simplify]: Extracting #1: cost 3 inf + 0 5.863 * * [simplify]: Extracting #2: cost 5 inf + 0 5.863 * * [simplify]: Extracting #3: cost 8 inf + 0 5.863 * * [simplify]: Extracting #4: cost 6 inf + 2 5.863 * * [simplify]: Extracting #5: cost 0 inf + 494 5.863 * [simplify]: Simplified to (sqrt (sqrt (+ 1 x))) 5.863 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (* (sqrt (sqrt (+ 1 x))) (* (sqrt (sqrt (+ x 1))) (sqrt (- x 1))))))) 5.864 * * * * [progress]: [ 38 / 62 ] simplifiying candidate # 5.864 * * * * [progress]: [ 39 / 62 ] simplifiying candidate # 5.864 * [simplify]: Simplifying (sqrt (+ (* x x) (+ (* 1 1) (* x 1)))) 5.864 * * [simplify]: iters left: 6 (8 enodes) 5.868 * * [simplify]: iters left: 5 (26 enodes) 5.877 * * [simplify]: iters left: 4 (38 enodes) 5.888 * * [simplify]: iters left: 3 (44 enodes) 5.899 * * [simplify]: iters left: 2 (45 enodes) 5.910 * * [simplify]: iters left: 1 (48 enodes) 5.922 * * [simplify]: Extracting #0: cost 1 inf + 0 5.922 * * [simplify]: Extracting #1: cost 3 inf + 0 5.922 * * [simplify]: Extracting #2: cost 10 inf + 0 5.922 * * [simplify]: Extracting #3: cost 12 inf + 2 5.923 * * [simplify]: Extracting #4: cost 7 inf + 329 5.923 * * [simplify]: Extracting #5: cost 1 inf + 900 5.923 * * [simplify]: Extracting #6: cost 0 inf + 1062 5.924 * [simplify]: Simplified to (sqrt (+ x (+ (* x x) 1))) 5.924 * [simplify]: Simplified (2 1 2 2) to (λ (x) (log (+ x (/ (* (sqrt (+ x 1)) (sqrt (- (pow x 3) (pow 1 3)))) (sqrt (+ x (+ (* x x) 1))))))) 5.924 * * * * [progress]: [ 40 / 62 ] simplifiying candidate # 5.924 * [simplify]: Simplifying (sqrt (+ x 1)) 5.925 * * [simplify]: iters left: 3 (4 enodes) 5.927 * * [simplify]: iters left: 2 (15 enodes) 5.934 * * [simplify]: iters left: 1 (17 enodes) 5.939 * * [simplify]: Extracting #0: cost 1 inf + 0 5.939 * * [simplify]: Extracting #1: cost 3 inf + 0 5.939 * * [simplify]: Extracting #2: cost 6 inf + 0 5.940 * * [simplify]: Extracting #3: cost 2 inf + 86 5.940 * * [simplify]: Extracting #4: cost 1 inf + 168 5.940 * * [simplify]: Extracting #5: cost 0 inf + 250 5.940 * [simplify]: Simplified to (sqrt (+ 1 x)) 5.940 * [simplify]: Simplified (2 1 2 2) to (λ (x) (log (+ x (/ (* (sqrt (+ x 1)) (sqrt (- (* x x) (* 1 1)))) (sqrt (+ 1 x)))))) 5.940 * * * * [progress]: [ 41 / 62 ] simplifiying candidate # 5.941 * [simplify]: Simplifying (* (sqrt (+ (pow x 3) (pow 1 3))) (sqrt (- x 1))) 5.941 * * [simplify]: iters left: 6 (10 enodes) 5.947 * * [simplify]: iters left: 5 (45 enodes) 5.956 * * [simplify]: iters left: 4 (65 enodes) 5.970 * * [simplify]: iters left: 3 (91 enodes) 5.996 * * [simplify]: iters left: 2 (132 enodes) 6.039 * * [simplify]: iters left: 1 (228 enodes) 6.143 * * [simplify]: Extracting #0: cost 1 inf + 0 6.144 * * [simplify]: Extracting #1: cost 4 inf + 0 6.144 * * [simplify]: Extracting #2: cost 8 inf + 0 6.144 * * [simplify]: Extracting #3: cost 14 inf + 0 6.144 * * [simplify]: Extracting #4: cost 28 inf + 3 6.144 * * [simplify]: Extracting #5: cost 66 inf + 252 6.145 * * [simplify]: Extracting #6: cost 54 inf + 3044 6.148 * * [simplify]: Extracting #7: cost 18 inf + 22283 6.151 * * [simplify]: Extracting #8: cost 11 inf + 25695 6.155 * * [simplify]: Extracting #9: cost 0 inf + 31210 6.160 * [simplify]: Simplified to (* (sqrt (+ 1 (* x (* x x)))) (sqrt (- x 1))) 6.160 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (/ (* (sqrt (+ 1 (* x (* x x)))) (sqrt (- x 1))) (sqrt (+ (* x x) (- (* 1 1) (* x 1)))))))) 6.160 * * * * [progress]: [ 42 / 62 ] simplifiying candidate # 6.160 * [simplify]: Simplifying (* (sqrt (- (* x x) (* 1 1))) (sqrt (- x 1))) 6.161 * * [simplify]: iters left: 6 (9 enodes) 6.165 * * [simplify]: iters left: 5 (32 enodes) 6.176 * * [simplify]: iters left: 4 (38 enodes) 6.186 * * [simplify]: iters left: 3 (48 enodes) 6.198 * * [simplify]: iters left: 2 (82 enodes) 6.213 * * [simplify]: iters left: 1 (96 enodes) 6.233 * * [simplify]: Extracting #0: cost 1 inf + 0 6.234 * * [simplify]: Extracting #1: cost 4 inf + 0 6.234 * * [simplify]: Extracting #2: cost 8 inf + 0 6.234 * * [simplify]: Extracting #3: cost 38 inf + 0 6.234 * * [simplify]: Extracting #4: cost 39 inf + 86 6.234 * * [simplify]: Extracting #5: cost 13 inf + 2288 6.235 * * [simplify]: Extracting #6: cost 1 inf + 3751 6.236 * * [simplify]: Extracting #7: cost 0 inf + 3993 6.237 * [simplify]: Simplified to (* (sqrt (- x 1)) (sqrt (- (* x x) 1))) 6.237 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ x (/ (* (sqrt (- x 1)) (sqrt (- (* x x) 1))) (sqrt (- x 1)))))) 6.237 * * * * [progress]: [ 43 / 62 ] simplifiying candidate #real (real->posit16 (* (sqrt (+ x 1)) (sqrt (- x 1))))))))> 6.237 * * * * [progress]: [ 44 / 62 ] simplifiying candidate # 6.237 * * * * [progress]: [ 45 / 62 ] simplifiying candidate # 6.237 * [simplify]: Simplifying (* (exp x) (exp (* (sqrt (+ x 1)) (sqrt (- x 1))))) 6.237 * * [simplify]: iters left: 6 (10 enodes) 6.240 * * [simplify]: iters left: 5 (42 enodes) 6.248 * * [simplify]: iters left: 4 (58 enodes) 6.259 * * [simplify]: iters left: 3 (75 enodes) 6.277 * * [simplify]: iters left: 2 (112 enodes) 6.301 * * [simplify]: iters left: 1 (206 enodes) 6.380 * * [simplify]: Extracting #0: cost 1 inf + 0 6.380 * * [simplify]: Extracting #1: cost 24 inf + 0 6.380 * * [simplify]: Extracting #2: cost 96 inf + 0 6.381 * * [simplify]: Extracting #3: cost 131 inf + 145 6.382 * * [simplify]: Extracting #4: cost 129 inf + 1580 6.385 * * [simplify]: Extracting #5: cost 92 inf + 9249 6.394 * * [simplify]: Extracting #6: cost 39 inf + 38130 6.404 * * [simplify]: Extracting #7: cost 0 inf + 69638 6.415 * * [simplify]: Extracting #8: cost 0 inf + 69245 6.424 * [simplify]: Simplified to (exp (+ x (* (sqrt (- x 1)) (sqrt (+ x 1))))) 6.424 * [simplify]: Simplified (2 1 1) to (λ (x) (log (log (exp (+ x (* (sqrt (- x 1)) (sqrt (+ x 1)))))))) 6.424 * * * * [progress]: [ 46 / 62 ] simplifiying candidate # 6.424 * * * * [progress]: [ 47 / 62 ] simplifiying candidate # 6.424 * * * * [progress]: [ 48 / 62 ] simplifiying candidate # 6.424 * * * * [progress]: [ 49 / 62 ] simplifiying candidate # 6.424 * * * * [progress]: [ 50 / 62 ] simplifiying candidate # 6.424 * * * * [progress]: [ 51 / 62 ] simplifiying candidate # 6.424 * * * * [progress]: [ 52 / 62 ] simplifiying candidate # 6.424 * * * * [progress]: [ 53 / 62 ] simplifiying candidate # 6.424 * * * * [progress]: [ 54 / 62 ] simplifiying candidate # 6.424 * * * * [progress]: [ 55 / 62 ] simplifiying candidate #real (real->posit16 (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))))))> 6.424 * * * * [progress]: [ 56 / 62 ] simplifiying candidate # 6.424 * * * * [progress]: [ 57 / 62 ] simplifiying candidate # 6.424 * [simplify]: Simplifying (+ (* 1/8 (/ (pow x 4) (sqrt -1))) (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) 6.425 * * [simplify]: iters left: 6 (15 enodes) 6.430 * * [simplify]: iters left: 5 (63 enodes) 6.449 * * [simplify]: iters left: 4 (93 enodes) 6.479 * * [simplify]: iters left: 3 (124 enodes) 6.518 * * [simplify]: iters left: 2 (163 enodes) 6.574 * * [simplify]: iters left: 1 (241 enodes) 6.645 * * [simplify]: Extracting #0: cost 1 inf + 0 6.645 * * [simplify]: Extracting #1: cost 8 inf + 0 6.646 * * [simplify]: Extracting #2: cost 59 inf + 0 6.646 * * [simplify]: Extracting #3: cost 87 inf + 127 6.650 * * [simplify]: Extracting #4: cost 19 inf + 8843 6.655 * * [simplify]: Extracting #5: cost 2 inf + 11487 6.661 * * [simplify]: Extracting #6: cost 0 inf + 11893 6.666 * [simplify]: Simplified to (+ (sqrt -1) (* (/ (* x x) (sqrt -1)) (+ 1/2 (* 1/8 (* x x))))) 6.667 * [simplify]: Simplified (2 1 2) to (λ (x) (log (+ x (+ (sqrt -1) (* (/ (* x x) (sqrt -1)) (+ 1/2 (* 1/8 (* x x)))))))) 6.667 * * * * [progress]: [ 58 / 62 ] simplifiying candidate # 6.667 * [simplify]: Simplifying (- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 6.667 * * [simplify]: iters left: 6 (12 enodes) 6.679 * * [simplify]: iters left: 5 (57 enodes) 6.702 * * [simplify]: iters left: 4 (97 enodes) 6.738 * * [simplify]: iters left: 3 (170 enodes) 6.788 * * [simplify]: iters left: 2 (285 enodes) 6.870 * * [simplify]: Extracting #0: cost 1 inf + 0 6.871 * * [simplify]: Extracting #1: cost 17 inf + 0 6.871 * * [simplify]: Extracting #2: cost 72 inf + 1 6.871 * * [simplify]: Extracting #3: cost 124 inf + 335 6.872 * * [simplify]: Extracting #4: cost 87 inf + 7689 6.876 * * [simplify]: Extracting #5: cost 20 inf + 28115 6.881 * * [simplify]: Extracting #6: cost 1 inf + 32556 6.885 * * [simplify]: Extracting #7: cost 0 inf + 32506 6.890 * [simplify]: Simplified to (+ (+ x (/ (/ -1/8 (* x x)) x)) (/ -1/2 x)) 6.890 * [simplify]: Simplified (2 1 2) to (λ (x) (log (+ x (+ (+ x (/ (/ -1/8 (* x x)) x)) (/ -1/2 x))))) 6.890 * * * * [progress]: [ 59 / 62 ] simplifiying candidate # 6.890 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 6.890 * [simplify]: Simplified (2 1 2) to (λ (x) (log (+ x +nan.0))) 6.890 * * * * [progress]: [ 60 / 62 ] simplifiying candidate # 6.890 * [simplify]: Simplifying (+ x (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) 6.891 * * [simplify]: iters left: 6 (10 enodes) 6.894 * * [simplify]: iters left: 5 (42 enodes) 6.902 * * [simplify]: iters left: 4 (64 enodes) 6.916 * * [simplify]: iters left: 3 (86 enodes) 6.939 * * [simplify]: iters left: 2 (100 enodes) 6.960 * * [simplify]: iters left: 1 (120 enodes) 6.980 * * [simplify]: Extracting #0: cost 1 inf + 0 6.980 * * [simplify]: Extracting #1: cost 8 inf + 0 6.980 * * [simplify]: Extracting #2: cost 26 inf + 1 6.980 * * [simplify]: Extracting #3: cost 33 inf + 332 6.981 * * [simplify]: Extracting #4: cost 10 inf + 2581 6.983 * * [simplify]: Extracting #5: cost 0 inf + 4169 6.985 * [simplify]: Simplified to (+ x (+ (sqrt -1) (/ (* x 1/2) (/ (sqrt -1) x)))) 6.985 * [simplify]: Simplified (2 1) to (λ (x) (log (+ x (+ (sqrt -1) (/ (* x 1/2) (/ (sqrt -1) x)))))) 6.985 * * * * [progress]: [ 61 / 62 ] simplifiying candidate # 6.985 * [simplify]: Simplifying (- (* 2 x) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 6.985 * * [simplify]: iters left: 6 (14 enodes) 6.995 * * [simplify]: iters left: 5 (63 enodes) 7.020 * * [simplify]: iters left: 4 (101 enodes) 7.060 * * [simplify]: iters left: 3 (174 enodes) 7.096 * * [simplify]: iters left: 2 (289 enodes) 7.177 * * [simplify]: Extracting #0: cost 1 inf + 0 7.177 * * [simplify]: Extracting #1: cost 17 inf + 0 7.177 * * [simplify]: Extracting #2: cost 76 inf + 0 7.178 * * [simplify]: Extracting #3: cost 132 inf + 6 7.180 * * [simplify]: Extracting #4: cost 113 inf + 2471 7.184 * * [simplify]: Extracting #5: cost 46 inf + 18924 7.192 * * [simplify]: Extracting #6: cost 1 inf + 36409 7.200 * * [simplify]: Extracting #7: cost 0 inf + 36461 7.208 * [simplify]: Simplified to (+ (* 2 x) (- (/ -1/2 x) (/ 1/8 (* x (* x x))))) 7.208 * [simplify]: Simplified (2 1) to (λ (x) (log (+ (* 2 x) (- (/ -1/2 x) (/ 1/8 (* x (* x x))))))) 7.208 * * * * [progress]: [ 62 / 62 ] simplifiying candidate # 7.208 * [simplify]: Simplifying (- x (+ (* +nan.0 (/ 1 x)) (- +nan.0))) 7.208 * [simplify]: Simplified (2 1) to (λ (x) (log +nan.0)) 7.209 * * * [progress]: adding candidates to table 7.825 * [progress]: [Phase 3 of 3] Extracting. 7.831 * [simplify]: Simplifying (log (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) 7.831 * * [simplify]: iters left: 6 (9 enodes) 7.832 * * [simplify]: iters left: 5 (14 enodes) 7.833 * * [simplify]: Extracting #0: cost 1 inf + 0 7.833 * * [simplify]: Extracting #1: cost 2 inf + 0 7.833 * * [simplify]: Extracting #2: cost 4 inf + 0 7.833 * * [simplify]: Extracting #3: cost 5 inf + 1 7.833 * * [simplify]: Extracting #4: cost 7 inf + 1 7.833 * * [simplify]: Extracting #5: cost 8 inf + 1 7.833 * * [simplify]: Extracting #6: cost 0 inf + 1006 7.833 * [simplify]: Simplified to (log (+ x (* (sqrt (+ 1 x)) (sqrt (- x 1))))) 12.415 * [regime-testing]: Baseline error score: 0.0877426993979688 12.420 * [regime-testing]: Oracle error score: 0.0877426993979688 12.420 * [regime-testing]: End program error score: 0.0877426993979688