96.870 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.160 * * * [progress]: [2/2] Setting up program. 0.164 * [progress]: [Phase 2 of 3] Improving. 0.164 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.165 * [simplify]: Simplifying: (log (+ x (sqrt (- (* x x) 1)))) 0.165 * * [simplify]: iteration 1: (7 enodes) 0.168 * * [simplify]: iteration 2: (15 enodes) 0.173 * * [simplify]: iteration 3: (19 enodes) 0.178 * * [simplify]: iteration 4: (35 enodes) 0.196 * * [simplify]: iteration 5: (66 enodes) 0.241 * * [simplify]: iteration 6: (117 enodes) 0.312 * * [simplify]: iteration 7: (252 enodes) 0.491 * * [simplify]: iteration 8: (489 enodes) 1.885 * * [simplify]: iteration 9: (1502 enodes) 21.203 * * [simplify]: Extracting #0: cost 1 inf + 0 21.203 * * [simplify]: Extracting #1: cost 2 inf + 0 21.203 * * [simplify]: Extracting #2: cost 4 inf + 0 21.203 * * [simplify]: Extracting #3: cost 4 inf + 1 21.204 * * [simplify]: Extracting #4: cost 149 inf + 1 21.207 * * [simplify]: Extracting #5: cost 446 inf + 2716 21.221 * * [simplify]: Extracting #6: cost 77 inf + 52940 21.259 * * [simplify]: Extracting #7: cost 1 inf + 64399 21.302 * * [simplify]: Extracting #8: cost 0 inf + 64388 21.322 * [simplify]: Simplified to: (log (+ x (sqrt (fma x x -1)))) 21.329 * * [progress]: iteration 1 / 4 21.329 * * * [progress]: picking best candidate 21.333 * * * * [pick]: Picked # 21.333 * * * [progress]: localizing error 21.351 * * * [progress]: generating rewritten candidates 21.351 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 21.352 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 21.360 * * * [progress]: generating series expansions 21.360 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 21.360 * [backup-simplify]: Simplify (sqrt (fma x x -1)) into (sqrt (fma x x -1)) 21.360 * [approximate]: Taking taylor expansion of (sqrt (fma x x -1)) in (x) around 0 21.361 * [taylor]: Taking taylor expansion of (sqrt (fma x x -1)) in x 21.361 * [taylor]: Taking taylor expansion of (fma x x -1) in x 21.361 * [taylor]: Rewrote expression to (+ (* x x) -1) 21.361 * [taylor]: Taking taylor expansion of (* x x) in x 21.361 * [taylor]: Taking taylor expansion of x in x 21.361 * [backup-simplify]: Simplify 0 into 0 21.361 * [backup-simplify]: Simplify 1 into 1 21.361 * [taylor]: Taking taylor expansion of x in x 21.361 * [backup-simplify]: Simplify 0 into 0 21.361 * [backup-simplify]: Simplify 1 into 1 21.361 * [taylor]: Taking taylor expansion of -1 in x 21.361 * [backup-simplify]: Simplify -1 into -1 21.361 * [backup-simplify]: Simplify (* 0 0) into 0 21.362 * [backup-simplify]: Simplify (+ 0 -1) into -1 21.362 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 21.362 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 21.363 * [backup-simplify]: Simplify (+ 0 0) into 0 21.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 21.363 * [taylor]: Taking taylor expansion of (sqrt (fma x x -1)) in x 21.363 * [taylor]: Taking taylor expansion of (fma x x -1) in x 21.363 * [taylor]: Rewrote expression to (+ (* x x) -1) 21.363 * [taylor]: Taking taylor expansion of (* x x) in x 21.363 * [taylor]: Taking taylor expansion of x in x 21.363 * [backup-simplify]: Simplify 0 into 0 21.363 * [backup-simplify]: Simplify 1 into 1 21.363 * [taylor]: Taking taylor expansion of x in x 21.363 * [backup-simplify]: Simplify 0 into 0 21.363 * [backup-simplify]: Simplify 1 into 1 21.363 * [taylor]: Taking taylor expansion of -1 in x 21.363 * [backup-simplify]: Simplify -1 into -1 21.364 * [backup-simplify]: Simplify (* 0 0) into 0 21.364 * [backup-simplify]: Simplify (+ 0 -1) into -1 21.364 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 21.364 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 21.365 * [backup-simplify]: Simplify (+ 0 0) into 0 21.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 21.365 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 21.365 * [backup-simplify]: Simplify 0 into 0 21.366 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 21.367 * [backup-simplify]: Simplify (+ 1 0) into 1 21.368 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 21.369 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 21.370 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 21.370 * [backup-simplify]: Simplify (+ 0 0) into 0 21.371 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 21.371 * [backup-simplify]: Simplify 0 into 0 21.371 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 21.372 * [backup-simplify]: Simplify (+ 0 0) into 0 21.376 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ 1/8 (sqrt -1)) 21.377 * [backup-simplify]: Simplify (/ 1/8 (sqrt -1)) into (/ 1/8 (sqrt -1)) 21.381 * [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))) 21.381 * [backup-simplify]: Simplify (sqrt (fma (/ 1 x) (/ 1 x) -1)) into (sqrt (fma (/ 1 x) (/ 1 x) -1)) 21.381 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) -1)) in (x) around 0 21.381 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) -1)) in x 21.381 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) -1) in x 21.381 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) -1) 21.381 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 21.381 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.381 * [taylor]: Taking taylor expansion of x in x 21.381 * [backup-simplify]: Simplify 0 into 0 21.381 * [backup-simplify]: Simplify 1 into 1 21.382 * [backup-simplify]: Simplify (/ 1 1) into 1 21.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.382 * [taylor]: Taking taylor expansion of x in x 21.382 * [backup-simplify]: Simplify 0 into 0 21.382 * [backup-simplify]: Simplify 1 into 1 21.382 * [backup-simplify]: Simplify (/ 1 1) into 1 21.382 * [taylor]: Taking taylor expansion of -1 in x 21.382 * [backup-simplify]: Simplify -1 into -1 21.383 * [backup-simplify]: Simplify (* 1 1) into 1 21.383 * [backup-simplify]: Simplify (+ 1 0) into 1 21.383 * [backup-simplify]: Simplify (sqrt 1) into 1 21.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.386 * [backup-simplify]: Simplify (+ 0 0) into 0 21.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.387 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) -1)) in x 21.387 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) -1) in x 21.387 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) -1) 21.387 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 21.387 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.387 * [taylor]: Taking taylor expansion of x in x 21.387 * [backup-simplify]: Simplify 0 into 0 21.387 * [backup-simplify]: Simplify 1 into 1 21.387 * [backup-simplify]: Simplify (/ 1 1) into 1 21.388 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.388 * [taylor]: Taking taylor expansion of x in x 21.388 * [backup-simplify]: Simplify 0 into 0 21.388 * [backup-simplify]: Simplify 1 into 1 21.388 * [backup-simplify]: Simplify (/ 1 1) into 1 21.388 * [taylor]: Taking taylor expansion of -1 in x 21.388 * [backup-simplify]: Simplify -1 into -1 21.388 * [backup-simplify]: Simplify (* 1 1) into 1 21.388 * [backup-simplify]: Simplify (+ 1 0) into 1 21.389 * [backup-simplify]: Simplify (sqrt 1) into 1 21.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.390 * [backup-simplify]: Simplify (+ 0 0) into 0 21.391 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.391 * [backup-simplify]: Simplify 1 into 1 21.391 * [backup-simplify]: Simplify 0 into 0 21.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.393 * [backup-simplify]: Simplify (+ 0 -1) into -1 21.393 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 21.393 * [backup-simplify]: Simplify -1/2 into -1/2 21.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.395 * [backup-simplify]: Simplify (+ 0 0) into 0 21.396 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 21.396 * [backup-simplify]: Simplify 0 into 0 21.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 21.398 * [backup-simplify]: Simplify (+ 0 0) into 0 21.399 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 21.399 * [backup-simplify]: Simplify -1/8 into -1/8 21.399 * [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)))) 21.400 * [backup-simplify]: Simplify (sqrt (fma (/ 1 (- x)) (/ 1 (- x)) -1)) into (sqrt (fma (/ -1 x) (/ -1 x) -1)) 21.400 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) -1)) in (x) around 0 21.400 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) -1)) in x 21.400 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) -1) in x 21.400 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) -1) 21.400 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 21.400 * [taylor]: Taking taylor expansion of (/ -1 x) in x 21.400 * [taylor]: Taking taylor expansion of -1 in x 21.400 * [backup-simplify]: Simplify -1 into -1 21.400 * [taylor]: Taking taylor expansion of x in x 21.400 * [backup-simplify]: Simplify 0 into 0 21.400 * [backup-simplify]: Simplify 1 into 1 21.400 * [backup-simplify]: Simplify (/ -1 1) into -1 21.400 * [taylor]: Taking taylor expansion of (/ -1 x) in x 21.400 * [taylor]: Taking taylor expansion of -1 in x 21.400 * [backup-simplify]: Simplify -1 into -1 21.400 * [taylor]: Taking taylor expansion of x in x 21.400 * [backup-simplify]: Simplify 0 into 0 21.400 * [backup-simplify]: Simplify 1 into 1 21.400 * [backup-simplify]: Simplify (/ -1 1) into -1 21.400 * [taylor]: Taking taylor expansion of -1 in x 21.400 * [backup-simplify]: Simplify -1 into -1 21.401 * [backup-simplify]: Simplify (* -1 -1) into 1 21.401 * [backup-simplify]: Simplify (+ 1 0) into 1 21.401 * [backup-simplify]: Simplify (sqrt 1) into 1 21.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 21.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 21.403 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 21.403 * [backup-simplify]: Simplify (+ 0 0) into 0 21.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.403 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) -1)) in x 21.403 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) -1) in x 21.403 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) -1) 21.404 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 21.404 * [taylor]: Taking taylor expansion of (/ -1 x) in x 21.404 * [taylor]: Taking taylor expansion of -1 in x 21.404 * [backup-simplify]: Simplify -1 into -1 21.404 * [taylor]: Taking taylor expansion of x in x 21.404 * [backup-simplify]: Simplify 0 into 0 21.404 * [backup-simplify]: Simplify 1 into 1 21.404 * [backup-simplify]: Simplify (/ -1 1) into -1 21.404 * [taylor]: Taking taylor expansion of (/ -1 x) in x 21.404 * [taylor]: Taking taylor expansion of -1 in x 21.404 * [backup-simplify]: Simplify -1 into -1 21.404 * [taylor]: Taking taylor expansion of x in x 21.404 * [backup-simplify]: Simplify 0 into 0 21.404 * [backup-simplify]: Simplify 1 into 1 21.404 * [backup-simplify]: Simplify (/ -1 1) into -1 21.404 * [taylor]: Taking taylor expansion of -1 in x 21.404 * [backup-simplify]: Simplify -1 into -1 21.405 * [backup-simplify]: Simplify (* -1 -1) into 1 21.405 * [backup-simplify]: Simplify (+ 1 0) into 1 21.405 * [backup-simplify]: Simplify (sqrt 1) into 1 21.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 21.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 21.407 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 21.407 * [backup-simplify]: Simplify (+ 0 0) into 0 21.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.407 * [backup-simplify]: Simplify 1 into 1 21.407 * [backup-simplify]: Simplify 0 into 0 21.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.409 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 21.409 * [backup-simplify]: Simplify (+ 0 -1) into -1 21.410 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 21.410 * [backup-simplify]: Simplify -1/2 into -1/2 21.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.412 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 21.412 * [backup-simplify]: Simplify (+ 0 0) into 0 21.413 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 21.413 * [backup-simplify]: Simplify 0 into 0 21.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.415 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 21.415 * [backup-simplify]: Simplify (+ 0 0) into 0 21.417 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 21.417 * [backup-simplify]: Simplify -1/8 into -1/8 21.417 * [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) 21.417 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 21.417 * [backup-simplify]: Simplify (+ x (sqrt (fma x x -1))) into (+ x (sqrt (fma x x -1))) 21.417 * [approximate]: Taking taylor expansion of (+ x (sqrt (fma x x -1))) in (x) around 0 21.417 * [taylor]: Taking taylor expansion of (+ x (sqrt (fma x x -1))) in x 21.417 * [taylor]: Taking taylor expansion of x in x 21.417 * [backup-simplify]: Simplify 0 into 0 21.417 * [backup-simplify]: Simplify 1 into 1 21.417 * [taylor]: Taking taylor expansion of (sqrt (fma x x -1)) in x 21.417 * [taylor]: Taking taylor expansion of (fma x x -1) in x 21.418 * [taylor]: Rewrote expression to (+ (* x x) -1) 21.418 * [taylor]: Taking taylor expansion of (* x x) in x 21.418 * [taylor]: Taking taylor expansion of x in x 21.418 * [backup-simplify]: Simplify 0 into 0 21.418 * [backup-simplify]: Simplify 1 into 1 21.418 * [taylor]: Taking taylor expansion of x in x 21.418 * [backup-simplify]: Simplify 0 into 0 21.418 * [backup-simplify]: Simplify 1 into 1 21.418 * [taylor]: Taking taylor expansion of -1 in x 21.418 * [backup-simplify]: Simplify -1 into -1 21.418 * [backup-simplify]: Simplify (* 0 0) into 0 21.419 * [backup-simplify]: Simplify (+ 0 -1) into -1 21.419 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 21.420 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 21.420 * [backup-simplify]: Simplify (+ 0 0) into 0 21.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 21.421 * [taylor]: Taking taylor expansion of (+ x (sqrt (fma x x -1))) in x 21.421 * [taylor]: Taking taylor expansion of x in x 21.421 * [backup-simplify]: Simplify 0 into 0 21.421 * [backup-simplify]: Simplify 1 into 1 21.421 * [taylor]: Taking taylor expansion of (sqrt (fma x x -1)) in x 21.421 * [taylor]: Taking taylor expansion of (fma x x -1) in x 21.421 * [taylor]: Rewrote expression to (+ (* x x) -1) 21.421 * [taylor]: Taking taylor expansion of (* x x) in x 21.421 * [taylor]: Taking taylor expansion of x in x 21.421 * [backup-simplify]: Simplify 0 into 0 21.421 * [backup-simplify]: Simplify 1 into 1 21.421 * [taylor]: Taking taylor expansion of x in x 21.421 * [backup-simplify]: Simplify 0 into 0 21.421 * [backup-simplify]: Simplify 1 into 1 21.421 * [taylor]: Taking taylor expansion of -1 in x 21.421 * [backup-simplify]: Simplify -1 into -1 21.422 * [backup-simplify]: Simplify (* 0 0) into 0 21.422 * [backup-simplify]: Simplify (+ 0 -1) into -1 21.422 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 21.423 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 21.424 * [backup-simplify]: Simplify (+ 0 0) into 0 21.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 21.425 * [backup-simplify]: Simplify (+ 0 (sqrt -1)) into (sqrt -1) 21.426 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 21.426 * [backup-simplify]: Simplify (+ 1 0) into 1 21.426 * [backup-simplify]: Simplify 1 into 1 21.427 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 21.427 * [backup-simplify]: Simplify (+ 1 0) into 1 21.430 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 21.432 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (sqrt -1))) into (* 1/2 (/ 1 (sqrt -1))) 21.434 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt -1))) into (/ 1/2 (sqrt -1)) 21.435 * [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))) 21.435 * [backup-simplify]: Simplify (+ (/ 1 x) (sqrt (fma (/ 1 x) (/ 1 x) -1))) into (+ (sqrt (fma (/ 1 x) (/ 1 x) -1)) (/ 1 x)) 21.435 * [approximate]: Taking taylor expansion of (+ (sqrt (fma (/ 1 x) (/ 1 x) -1)) (/ 1 x)) in (x) around 0 21.435 * [taylor]: Taking taylor expansion of (+ (sqrt (fma (/ 1 x) (/ 1 x) -1)) (/ 1 x)) in x 21.435 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) -1)) in x 21.435 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) -1) in x 21.435 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) -1) 21.435 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 21.435 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.436 * [taylor]: Taking taylor expansion of x in x 21.436 * [backup-simplify]: Simplify 0 into 0 21.436 * [backup-simplify]: Simplify 1 into 1 21.436 * [backup-simplify]: Simplify (/ 1 1) into 1 21.436 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.436 * [taylor]: Taking taylor expansion of x in x 21.436 * [backup-simplify]: Simplify 0 into 0 21.436 * [backup-simplify]: Simplify 1 into 1 21.436 * [backup-simplify]: Simplify (/ 1 1) into 1 21.436 * [taylor]: Taking taylor expansion of -1 in x 21.437 * [backup-simplify]: Simplify -1 into -1 21.437 * [backup-simplify]: Simplify (* 1 1) into 1 21.438 * [backup-simplify]: Simplify (+ 1 0) into 1 21.438 * [backup-simplify]: Simplify (sqrt 1) into 1 21.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.441 * [backup-simplify]: Simplify (+ 0 0) into 0 21.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.441 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.441 * [taylor]: Taking taylor expansion of x in x 21.442 * [backup-simplify]: Simplify 0 into 0 21.442 * [backup-simplify]: Simplify 1 into 1 21.442 * [backup-simplify]: Simplify (/ 1 1) into 1 21.442 * [taylor]: Taking taylor expansion of (+ (sqrt (fma (/ 1 x) (/ 1 x) -1)) (/ 1 x)) in x 21.442 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) -1)) in x 21.442 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) -1) in x 21.442 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) -1) 21.442 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 21.442 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.442 * [taylor]: Taking taylor expansion of x in x 21.442 * [backup-simplify]: Simplify 0 into 0 21.442 * [backup-simplify]: Simplify 1 into 1 21.443 * [backup-simplify]: Simplify (/ 1 1) into 1 21.443 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.443 * [taylor]: Taking taylor expansion of x in x 21.443 * [backup-simplify]: Simplify 0 into 0 21.443 * [backup-simplify]: Simplify 1 into 1 21.443 * [backup-simplify]: Simplify (/ 1 1) into 1 21.443 * [taylor]: Taking taylor expansion of -1 in x 21.443 * [backup-simplify]: Simplify -1 into -1 21.444 * [backup-simplify]: Simplify (* 1 1) into 1 21.444 * [backup-simplify]: Simplify (+ 1 0) into 1 21.445 * [backup-simplify]: Simplify (sqrt 1) into 1 21.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.447 * [backup-simplify]: Simplify (+ 0 0) into 0 21.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.448 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.448 * [taylor]: Taking taylor expansion of x in x 21.448 * [backup-simplify]: Simplify 0 into 0 21.448 * [backup-simplify]: Simplify 1 into 1 21.449 * [backup-simplify]: Simplify (/ 1 1) into 1 21.449 * [backup-simplify]: Simplify (+ 1 1) into 2 21.449 * [backup-simplify]: Simplify 2 into 2 21.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.450 * [backup-simplify]: Simplify (+ 0 0) into 0 21.450 * [backup-simplify]: Simplify 0 into 0 21.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.454 * [backup-simplify]: Simplify (+ 0 -1) into -1 21.455 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 21.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.456 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 21.456 * [backup-simplify]: Simplify -1/2 into -1/2 21.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.460 * [backup-simplify]: Simplify (+ 0 0) into 0 21.461 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 21.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.462 * [backup-simplify]: Simplify (+ 0 0) into 0 21.462 * [backup-simplify]: Simplify 0 into 0 21.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 21.466 * [backup-simplify]: Simplify (+ 0 0) into 0 21.467 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 21.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.469 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 21.469 * [backup-simplify]: Simplify -1/8 into -1/8 21.469 * [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)))) 21.470 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (sqrt (fma (/ 1 (- x)) (/ 1 (- x)) -1))) into (- (sqrt (fma (/ -1 x) (/ -1 x) -1)) (/ 1 x)) 21.470 * [approximate]: Taking taylor expansion of (- (sqrt (fma (/ -1 x) (/ -1 x) -1)) (/ 1 x)) in (x) around 0 21.470 * [taylor]: Taking taylor expansion of (- (sqrt (fma (/ -1 x) (/ -1 x) -1)) (/ 1 x)) in x 21.470 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) -1)) in x 21.470 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) -1) in x 21.470 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) -1) 21.470 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 21.470 * [taylor]: Taking taylor expansion of (/ -1 x) in x 21.470 * [taylor]: Taking taylor expansion of -1 in x 21.470 * [backup-simplify]: Simplify -1 into -1 21.470 * [taylor]: Taking taylor expansion of x in x 21.470 * [backup-simplify]: Simplify 0 into 0 21.470 * [backup-simplify]: Simplify 1 into 1 21.470 * [backup-simplify]: Simplify (/ -1 1) into -1 21.470 * [taylor]: Taking taylor expansion of (/ -1 x) in x 21.470 * [taylor]: Taking taylor expansion of -1 in x 21.470 * [backup-simplify]: Simplify -1 into -1 21.471 * [taylor]: Taking taylor expansion of x in x 21.471 * [backup-simplify]: Simplify 0 into 0 21.471 * [backup-simplify]: Simplify 1 into 1 21.471 * [backup-simplify]: Simplify (/ -1 1) into -1 21.471 * [taylor]: Taking taylor expansion of -1 in x 21.471 * [backup-simplify]: Simplify -1 into -1 21.471 * [backup-simplify]: Simplify (* -1 -1) into 1 21.472 * [backup-simplify]: Simplify (+ 1 0) into 1 21.472 * [backup-simplify]: Simplify (sqrt 1) into 1 21.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 21.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 21.478 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 21.478 * [backup-simplify]: Simplify (+ 0 0) into 0 21.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.479 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.479 * [taylor]: Taking taylor expansion of x in x 21.479 * [backup-simplify]: Simplify 0 into 0 21.479 * [backup-simplify]: Simplify 1 into 1 21.480 * [backup-simplify]: Simplify (/ 1 1) into 1 21.480 * [taylor]: Taking taylor expansion of (- (sqrt (fma (/ -1 x) (/ -1 x) -1)) (/ 1 x)) in x 21.480 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) -1)) in x 21.480 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) -1) in x 21.480 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) -1) 21.480 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 21.480 * [taylor]: Taking taylor expansion of (/ -1 x) in x 21.480 * [taylor]: Taking taylor expansion of -1 in x 21.480 * [backup-simplify]: Simplify -1 into -1 21.480 * [taylor]: Taking taylor expansion of x in x 21.480 * [backup-simplify]: Simplify 0 into 0 21.480 * [backup-simplify]: Simplify 1 into 1 21.481 * [backup-simplify]: Simplify (/ -1 1) into -1 21.481 * [taylor]: Taking taylor expansion of (/ -1 x) in x 21.481 * [taylor]: Taking taylor expansion of -1 in x 21.481 * [backup-simplify]: Simplify -1 into -1 21.481 * [taylor]: Taking taylor expansion of x in x 21.481 * [backup-simplify]: Simplify 0 into 0 21.481 * [backup-simplify]: Simplify 1 into 1 21.481 * [backup-simplify]: Simplify (/ -1 1) into -1 21.481 * [taylor]: Taking taylor expansion of -1 in x 21.481 * [backup-simplify]: Simplify -1 into -1 21.482 * [backup-simplify]: Simplify (* -1 -1) into 1 21.482 * [backup-simplify]: Simplify (+ 1 0) into 1 21.482 * [backup-simplify]: Simplify (sqrt 1) into 1 21.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 21.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 21.485 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 21.485 * [backup-simplify]: Simplify (+ 0 0) into 0 21.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.486 * [taylor]: Taking taylor expansion of x in x 21.486 * [backup-simplify]: Simplify 0 into 0 21.486 * [backup-simplify]: Simplify 1 into 1 21.487 * [backup-simplify]: Simplify (/ 1 1) into 1 21.487 * [backup-simplify]: Simplify (- 1) into -1 21.488 * [backup-simplify]: Simplify (+ 1 -1) into 0 21.488 * [backup-simplify]: Simplify 0 into 0 21.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.489 * [backup-simplify]: Simplify (- 0) into 0 21.489 * [backup-simplify]: Simplify (+ 0 0) into 0 21.489 * [backup-simplify]: Simplify 0 into 0 21.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.492 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 21.493 * [backup-simplify]: Simplify (+ 0 -1) into -1 21.494 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 21.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.495 * [backup-simplify]: Simplify (- 0) into 0 21.496 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 21.496 * [backup-simplify]: Simplify -1/2 into -1/2 21.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.499 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 21.500 * [backup-simplify]: Simplify (+ 0 0) into 0 21.501 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 21.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.502 * [backup-simplify]: Simplify (- 0) into 0 21.503 * [backup-simplify]: Simplify (+ 0 0) into 0 21.503 * [backup-simplify]: Simplify 0 into 0 21.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.506 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 21.506 * [backup-simplify]: Simplify (+ 0 0) into 0 21.508 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 21.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.509 * [backup-simplify]: Simplify (- 0) into 0 21.509 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 21.509 * [backup-simplify]: Simplify -1/8 into -1/8 21.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.513 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 21.513 * [backup-simplify]: Simplify (+ 0 0) into 0 21.515 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* -1/2 0)))) (* 2 1)) into 0 21.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.516 * [backup-simplify]: Simplify (- 0) into 0 21.516 * [backup-simplify]: Simplify (+ 0 0) into 0 21.516 * [backup-simplify]: Simplify 0 into 0 21.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.520 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 21.520 * [backup-simplify]: Simplify (+ 0 0) into 0 21.521 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 21.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.522 * [backup-simplify]: Simplify (- 0) into 0 21.522 * [backup-simplify]: Simplify (+ -1/16 0) into -1/16 21.522 * [backup-simplify]: Simplify -1/16 into -1/16 21.523 * [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)))) 21.523 * * * [progress]: simplifying candidates 21.523 * * * * [progress]: [ 1 / 40 ] simplifiying candidate # 21.523 * * * * [progress]: [ 2 / 40 ] simplifiying candidate # 21.523 * * * * [progress]: [ 3 / 40 ] simplifiying candidate # 21.523 * * * * [progress]: [ 4 / 40 ] simplifiying candidate # 21.523 * * * * [progress]: [ 5 / 40 ] simplifiying candidate # 21.523 * * * * [progress]: [ 6 / 40 ] simplifiying candidate # 21.523 * * * * [progress]: [ 7 / 40 ] simplifiying candidate # 21.523 * * * * [progress]: [ 8 / 40 ] simplifiying candidate # 21.523 * * * * [progress]: [ 9 / 40 ] simplifiying candidate # 21.523 * * * * [progress]: [ 10 / 40 ] simplifiying candidate # 21.523 * * * * [progress]: [ 11 / 40 ] simplifiying candidate # 21.523 * * * * [progress]: [ 12 / 40 ] simplifiying candidate # 21.523 * * * * [progress]: [ 13 / 40 ] simplifiying candidate # 21.523 * * * * [progress]: [ 14 / 40 ] simplifiying candidate # 21.523 * * * * [progress]: [ 15 / 40 ] simplifiying candidate # 21.523 * * * * [progress]: [ 16 / 40 ] simplifiying candidate #real (real->posit16 (sqrt (fma x x -1)))))))> 21.523 * * * * [progress]: [ 17 / 40 ] simplifiying candidate # 21.523 * * * * [progress]: [ 18 / 40 ] simplifiying candidate # 21.523 * * * * [progress]: [ 19 / 40 ] simplifiying candidate # 21.523 * * * * [progress]: [ 20 / 40 ] simplifiying candidate # 21.523 * * * * [progress]: [ 21 / 40 ] simplifiying candidate # 21.523 * * * * [progress]: [ 22 / 40 ] simplifiying candidate # 21.523 * * * * [progress]: [ 23 / 40 ] simplifiying candidate # 21.523 * * * * [progress]: [ 24 / 40 ] simplifiying candidate # 21.524 * * * * [progress]: [ 25 / 40 ] simplifiying candidate # 21.524 * * * * [progress]: [ 26 / 40 ] simplifiying candidate # 21.524 * * * * [progress]: [ 27 / 40 ] simplifiying candidate # 21.524 * * * * [progress]: [ 28 / 40 ] simplifiying candidate # 21.524 * * * * [progress]: [ 29 / 40 ] simplifiying candidate # 21.524 * * * * [progress]: [ 30 / 40 ] simplifiying candidate # 21.524 * * * * [progress]: [ 31 / 40 ] simplifiying candidate # 21.524 * * * * [progress]: [ 32 / 40 ] simplifiying candidate # 21.524 * * * * [progress]: [ 33 / 40 ] simplifiying candidate #real (real->posit16 (+ x (sqrt (fma x x -1)))))))> 21.524 * * * * [progress]: [ 34 / 40 ] simplifiying candidate # 21.524 * * * * [progress]: [ 35 / 40 ] simplifiying candidate # 21.524 * * * * [progress]: [ 36 / 40 ] simplifiying candidate # 21.524 * * * * [progress]: [ 37 / 40 ] simplifiying candidate # 21.524 * * * * [progress]: [ 38 / 40 ] simplifiying candidate # 21.524 * * * * [progress]: [ 39 / 40 ] simplifiying candidate # 21.524 * * * * [progress]: [ 40 / 40 ] simplifiying candidate # 21.524 * [simplify]: Simplifying: (expm1 (sqrt (fma x x -1))) (log1p (sqrt (fma x x -1))) (log (sqrt (fma x x -1))) (exp (sqrt (fma x x -1))) (* (cbrt (sqrt (fma x x -1))) (cbrt (sqrt (fma x x -1)))) (cbrt (sqrt (fma x x -1))) (* (* (sqrt (fma x x -1)) (sqrt (fma x x -1))) (sqrt (fma x x -1))) (sqrt (* (cbrt (fma x x -1)) (cbrt (fma x x -1)))) (sqrt (cbrt (fma x x -1))) (sqrt (sqrt (fma x x -1))) (sqrt (sqrt (fma x x -1))) (sqrt 1) (sqrt (fma x x -1)) (/ 1 2) (sqrt (sqrt (fma x x -1))) (sqrt (sqrt (fma x x -1))) (real->posit16 (sqrt (fma x x -1))) (expm1 (+ x (sqrt (fma x x -1)))) (log1p (+ x (sqrt (fma x x -1)))) (* (exp x) (exp (sqrt (fma x x -1)))) (log (+ x (sqrt (fma x x -1)))) (exp (+ x (sqrt (fma x x -1)))) (* (cbrt (+ x (sqrt (fma x x -1)))) (cbrt (+ x (sqrt (fma x x -1))))) (cbrt (+ x (sqrt (fma x x -1)))) (* (* (+ x (sqrt (fma x x -1))) (+ x (sqrt (fma x x -1)))) (+ x (sqrt (fma x x -1)))) (sqrt (+ x (sqrt (fma x x -1)))) (sqrt (+ x (sqrt (fma x x -1)))) (+ (pow x 3) (pow (sqrt (fma x x -1)) 3)) (+ (* x x) (- (* (sqrt (fma x x -1)) (sqrt (fma x x -1))) (* x (sqrt (fma x x -1))))) (- (* x x) (* (sqrt (fma x x -1)) (sqrt (fma x x -1)))) (- x (sqrt (fma x x -1))) (+ x (sqrt (fma x x -1))) (real->posit16 (+ x (sqrt (fma x x -1)))) (+ (* 1/8 (/ (pow x 4) (sqrt -1))) (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) (- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) (- (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))) x) (+ x (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) (- (* 2 x) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) (+ (* 1/16 (/ 1 (pow x 5))) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 21.525 * * [simplify]: iteration 1: (73 enodes) 21.556 * * [simplify]: iteration 2: (170 enodes) 21.628 * * [simplify]: iteration 3: (408 enodes) 21.799 * * [simplify]: iteration 4: (1022 enodes) 23.169 * * [simplify]: Extracting #0: cost 33 inf + 0 23.169 * * [simplify]: Extracting #1: cost 143 inf + 2 23.172 * * [simplify]: Extracting #2: cost 322 inf + 5630 23.183 * * [simplify]: Extracting #3: cost 169 inf + 35996 23.217 * * [simplify]: Extracting #4: cost 23 inf + 70976 23.248 * * [simplify]: Extracting #5: cost 3 inf + 78709 23.267 * * [simplify]: Extracting #6: cost 1 inf + 78973 23.290 * * [simplify]: Extracting #7: cost 0 inf + 79185 23.311 * [simplify]: Simplified to: (expm1 (sqrt (fma x x -1))) (log1p (sqrt (fma x x -1))) (log (sqrt (fma x x -1))) (exp (sqrt (fma x x -1))) (* (cbrt (sqrt (fma x x -1))) (cbrt (sqrt (fma x x -1)))) (cbrt (sqrt (fma x x -1))) (* (fma x x -1) (sqrt (fma x x -1))) (fabs (cbrt (fma x x -1))) (sqrt (cbrt (fma x x -1))) (sqrt (sqrt (fma x x -1))) (sqrt (sqrt (fma x x -1))) 1 (sqrt (fma x x -1)) 1/2 (sqrt (sqrt (fma x x -1))) (sqrt (sqrt (fma x x -1))) (real->posit16 (sqrt (fma x x -1))) (expm1 (+ (sqrt (fma x x -1)) x)) (log1p (+ (sqrt (fma x x -1)) x)) (exp (+ (sqrt (fma x x -1)) x)) (log (+ (sqrt (fma x x -1)) x)) (exp (+ (sqrt (fma x x -1)) x)) (* (cbrt (+ (sqrt (fma x x -1)) x)) (cbrt (+ (sqrt (fma x x -1)) x))) (cbrt (+ (sqrt (fma x x -1)) x)) (* (+ (sqrt (fma x x -1)) x) (* (+ (sqrt (fma x x -1)) x) (+ (sqrt (fma x x -1)) x))) (sqrt (+ (sqrt (fma x x -1)) x)) (sqrt (+ (sqrt (fma x x -1)) x)) (fma (fma x x -1) (sqrt (fma x x -1)) (* (* x x) x)) (+ (fma x x -1) (* x (- x (sqrt (fma x x -1))))) 1 (- x (sqrt (fma x x -1))) (+ (sqrt (fma x x -1)) x) (real->posit16 (+ (sqrt (fma x x -1)) x)) (fma (/ 1/2 (sqrt -1)) (* x x) (fma (/ 1/8 (sqrt -1)) (* (* x x) (* x x)) (sqrt -1))) (- x (- (/ 1/2 x) (/ -1/8 (* (* x x) x)))) (+ (- (/ 1/8 (* (* x x) x)) x) (/ 1/2 x)) (+ (fma 1/2 (/ (* x x) (sqrt -1)) x) (sqrt -1)) (- (fma 2 x (/ -1/8 (* (* x x) x))) (/ 1/2 x)) (+ (+ (/ 1/2 x) (/ 1/8 (* (* x x) x))) (/ 1/16 (pow x 5))) 23.313 * * * [progress]: adding candidates to table 23.636 * * [progress]: iteration 2 / 4 23.636 * * * [progress]: picking best candidate 23.639 * * * * [pick]: Picked # 23.639 * * * [progress]: localizing error 23.659 * * * [progress]: generating rewritten candidates 23.659 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1 3) 23.685 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1 3 2) 23.700 * * * [progress]: generating series expansions 23.700 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1 3) 23.701 * [backup-simplify]: Simplify (/ -1/8 (* (* x x) x)) into (/ -1/8 (pow x 3)) 23.701 * [approximate]: Taking taylor expansion of (/ -1/8 (pow x 3)) in (x) around 0 23.701 * [taylor]: Taking taylor expansion of (/ -1/8 (pow x 3)) in x 23.701 * [taylor]: Taking taylor expansion of -1/8 in x 23.701 * [backup-simplify]: Simplify -1/8 into -1/8 23.701 * [taylor]: Taking taylor expansion of (pow x 3) in x 23.701 * [taylor]: Taking taylor expansion of x in x 23.701 * [backup-simplify]: Simplify 0 into 0 23.701 * [backup-simplify]: Simplify 1 into 1 23.701 * [backup-simplify]: Simplify (* 1 1) into 1 23.702 * [backup-simplify]: Simplify (* 1 1) into 1 23.702 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 23.702 * [taylor]: Taking taylor expansion of (/ -1/8 (pow x 3)) in x 23.702 * [taylor]: Taking taylor expansion of -1/8 in x 23.702 * [backup-simplify]: Simplify -1/8 into -1/8 23.702 * [taylor]: Taking taylor expansion of (pow x 3) in x 23.702 * [taylor]: Taking taylor expansion of x in x 23.702 * [backup-simplify]: Simplify 0 into 0 23.702 * [backup-simplify]: Simplify 1 into 1 23.702 * [backup-simplify]: Simplify (* 1 1) into 1 23.703 * [backup-simplify]: Simplify (* 1 1) into 1 23.703 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 23.703 * [backup-simplify]: Simplify -1/8 into -1/8 23.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 23.704 * [backup-simplify]: Simplify 0 into 0 23.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.706 * [backup-simplify]: Simplify 0 into 0 23.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.708 * [backup-simplify]: Simplify 0 into 0 23.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 23.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 23.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.710 * [backup-simplify]: Simplify 0 into 0 23.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 23.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 23.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.713 * [backup-simplify]: Simplify 0 into 0 23.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 23.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 23.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.715 * [backup-simplify]: Simplify 0 into 0 23.715 * [backup-simplify]: Simplify (* -1/8 (pow (/ 1 x) 3)) into (/ -1/8 (pow x 3)) 23.715 * [backup-simplify]: Simplify (/ -1/8 (* (* (/ 1 x) (/ 1 x)) (/ 1 x))) into (* -1/8 (pow x 3)) 23.715 * [approximate]: Taking taylor expansion of (* -1/8 (pow x 3)) in (x) around 0 23.715 * [taylor]: Taking taylor expansion of (* -1/8 (pow x 3)) in x 23.715 * [taylor]: Taking taylor expansion of -1/8 in x 23.715 * [backup-simplify]: Simplify -1/8 into -1/8 23.715 * [taylor]: Taking taylor expansion of (pow x 3) in x 23.715 * [taylor]: Taking taylor expansion of x in x 23.715 * [backup-simplify]: Simplify 0 into 0 23.715 * [backup-simplify]: Simplify 1 into 1 23.715 * [taylor]: Taking taylor expansion of (* -1/8 (pow x 3)) in x 23.715 * [taylor]: Taking taylor expansion of -1/8 in x 23.716 * [backup-simplify]: Simplify -1/8 into -1/8 23.716 * [taylor]: Taking taylor expansion of (pow x 3) in x 23.716 * [taylor]: Taking taylor expansion of x in x 23.716 * [backup-simplify]: Simplify 0 into 0 23.716 * [backup-simplify]: Simplify 1 into 1 23.716 * [backup-simplify]: Simplify (* 1 1) into 1 23.716 * [backup-simplify]: Simplify (* 1 1) into 1 23.717 * [backup-simplify]: Simplify (* -1/8 1) into -1/8 23.717 * [backup-simplify]: Simplify -1/8 into -1/8 23.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.719 * [backup-simplify]: Simplify (+ (* -1/8 0) (* 0 1)) into 0 23.719 * [backup-simplify]: Simplify 0 into 0 23.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.722 * [backup-simplify]: Simplify (+ (* -1/8 0) (+ (* 0 0) (* 0 1))) into 0 23.722 * [backup-simplify]: Simplify 0 into 0 23.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.725 * [backup-simplify]: Simplify (+ (* -1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.725 * [backup-simplify]: Simplify 0 into 0 23.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 23.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 23.729 * [backup-simplify]: Simplify (+ (* -1/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 23.729 * [backup-simplify]: Simplify 0 into 0 23.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 23.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 23.733 * [backup-simplify]: Simplify (+ (* -1/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 23.734 * [backup-simplify]: Simplify 0 into 0 23.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 23.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 23.738 * [backup-simplify]: Simplify (+ (* -1/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 23.738 * [backup-simplify]: Simplify 0 into 0 23.739 * [backup-simplify]: Simplify (* -1/8 (pow (/ 1 x) 3)) into (/ -1/8 (pow x 3)) 23.739 * [backup-simplify]: Simplify (/ -1/8 (* (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- x)))) into (* 1/8 (pow x 3)) 23.739 * [approximate]: Taking taylor expansion of (* 1/8 (pow x 3)) in (x) around 0 23.739 * [taylor]: Taking taylor expansion of (* 1/8 (pow x 3)) in x 23.739 * [taylor]: Taking taylor expansion of 1/8 in x 23.739 * [backup-simplify]: Simplify 1/8 into 1/8 23.739 * [taylor]: Taking taylor expansion of (pow x 3) in x 23.739 * [taylor]: Taking taylor expansion of x in x 23.739 * [backup-simplify]: Simplify 0 into 0 23.739 * [backup-simplify]: Simplify 1 into 1 23.739 * [taylor]: Taking taylor expansion of (* 1/8 (pow x 3)) in x 23.739 * [taylor]: Taking taylor expansion of 1/8 in x 23.739 * [backup-simplify]: Simplify 1/8 into 1/8 23.739 * [taylor]: Taking taylor expansion of (pow x 3) in x 23.739 * [taylor]: Taking taylor expansion of x in x 23.739 * [backup-simplify]: Simplify 0 into 0 23.739 * [backup-simplify]: Simplify 1 into 1 23.740 * [backup-simplify]: Simplify (* 1 1) into 1 23.740 * [backup-simplify]: Simplify (* 1 1) into 1 23.741 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 23.741 * [backup-simplify]: Simplify 1/8 into 1/8 23.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.743 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 23.743 * [backup-simplify]: Simplify 0 into 0 23.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.745 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0 23.745 * [backup-simplify]: Simplify 0 into 0 23.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.747 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.747 * [backup-simplify]: Simplify 0 into 0 23.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 23.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 23.749 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 23.749 * [backup-simplify]: Simplify 0 into 0 23.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 23.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 23.751 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 23.751 * [backup-simplify]: Simplify 0 into 0 23.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 23.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 23.754 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 23.754 * [backup-simplify]: Simplify 0 into 0 23.754 * [backup-simplify]: Simplify (* 1/8 (pow (/ 1 (- x)) 3)) into (/ -1/8 (pow x 3)) 23.754 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1 3 2) 23.754 * [backup-simplify]: Simplify (* (* x x) x) into (pow x 3) 23.754 * [approximate]: Taking taylor expansion of (pow x 3) in (x) around 0 23.754 * [taylor]: Taking taylor expansion of (pow x 3) in x 23.754 * [taylor]: Taking taylor expansion of x in x 23.754 * [backup-simplify]: Simplify 0 into 0 23.754 * [backup-simplify]: Simplify 1 into 1 23.755 * [taylor]: Taking taylor expansion of (pow x 3) in x 23.755 * [taylor]: Taking taylor expansion of x in x 23.755 * [backup-simplify]: Simplify 0 into 0 23.755 * [backup-simplify]: Simplify 1 into 1 23.755 * [backup-simplify]: Simplify (* 1 1) into 1 23.755 * [backup-simplify]: Simplify (* 1 1) into 1 23.755 * [backup-simplify]: Simplify 1 into 1 23.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.756 * [backup-simplify]: Simplify 0 into 0 23.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.757 * [backup-simplify]: Simplify 0 into 0 23.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.758 * [backup-simplify]: Simplify 0 into 0 23.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 23.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 23.760 * [backup-simplify]: Simplify 0 into 0 23.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 23.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 23.762 * [backup-simplify]: Simplify 0 into 0 23.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 23.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 23.764 * [backup-simplify]: Simplify 0 into 0 23.764 * [backup-simplify]: Simplify (* 1 (pow x 3)) into (pow x 3) 23.764 * [backup-simplify]: Simplify (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) into (/ 1 (pow x 3)) 23.764 * [approximate]: Taking taylor expansion of (/ 1 (pow x 3)) in (x) around 0 23.764 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 23.764 * [taylor]: Taking taylor expansion of (pow x 3) in x 23.764 * [taylor]: Taking taylor expansion of x in x 23.764 * [backup-simplify]: Simplify 0 into 0 23.764 * [backup-simplify]: Simplify 1 into 1 23.764 * [backup-simplify]: Simplify (* 1 1) into 1 23.767 * [backup-simplify]: Simplify (* 1 1) into 1 23.767 * [backup-simplify]: Simplify (/ 1 1) into 1 23.767 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 23.767 * [taylor]: Taking taylor expansion of (pow x 3) in x 23.767 * [taylor]: Taking taylor expansion of x in x 23.767 * [backup-simplify]: Simplify 0 into 0 23.767 * [backup-simplify]: Simplify 1 into 1 23.768 * [backup-simplify]: Simplify (* 1 1) into 1 23.768 * [backup-simplify]: Simplify (* 1 1) into 1 23.768 * [backup-simplify]: Simplify (/ 1 1) into 1 23.768 * [backup-simplify]: Simplify 1 into 1 23.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.770 * [backup-simplify]: Simplify 0 into 0 23.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.771 * [backup-simplify]: Simplify 0 into 0 23.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.774 * [backup-simplify]: Simplify 0 into 0 23.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 23.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 23.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.778 * [backup-simplify]: Simplify 0 into 0 23.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 23.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 23.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.782 * [backup-simplify]: Simplify 0 into 0 23.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 23.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 23.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.787 * [backup-simplify]: Simplify 0 into 0 23.787 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (/ 1 x)) 3)) into (pow x 3) 23.787 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- x))) into (/ -1 (pow x 3)) 23.787 * [approximate]: Taking taylor expansion of (/ -1 (pow x 3)) in (x) around 0 23.787 * [taylor]: Taking taylor expansion of (/ -1 (pow x 3)) in x 23.787 * [taylor]: Taking taylor expansion of -1 in x 23.787 * [backup-simplify]: Simplify -1 into -1 23.787 * [taylor]: Taking taylor expansion of (pow x 3) in x 23.787 * [taylor]: Taking taylor expansion of x in x 23.787 * [backup-simplify]: Simplify 0 into 0 23.787 * [backup-simplify]: Simplify 1 into 1 23.788 * [backup-simplify]: Simplify (* 1 1) into 1 23.788 * [backup-simplify]: Simplify (* 1 1) into 1 23.788 * [backup-simplify]: Simplify (/ -1 1) into -1 23.788 * [taylor]: Taking taylor expansion of (/ -1 (pow x 3)) in x 23.788 * [taylor]: Taking taylor expansion of -1 in x 23.789 * [backup-simplify]: Simplify -1 into -1 23.789 * [taylor]: Taking taylor expansion of (pow x 3) in x 23.789 * [taylor]: Taking taylor expansion of x in x 23.789 * [backup-simplify]: Simplify 0 into 0 23.789 * [backup-simplify]: Simplify 1 into 1 23.789 * [backup-simplify]: Simplify (* 1 1) into 1 23.789 * [backup-simplify]: Simplify (* 1 1) into 1 23.790 * [backup-simplify]: Simplify (/ -1 1) into -1 23.790 * [backup-simplify]: Simplify -1 into -1 23.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 23.792 * [backup-simplify]: Simplify 0 into 0 23.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.794 * [backup-simplify]: Simplify 0 into 0 23.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.795 * [backup-simplify]: Simplify 0 into 0 23.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 23.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 23.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.797 * [backup-simplify]: Simplify 0 into 0 23.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 23.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 23.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.800 * [backup-simplify]: Simplify 0 into 0 23.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 23.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 23.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.802 * [backup-simplify]: Simplify 0 into 0 23.802 * [backup-simplify]: Simplify (* -1 (pow (/ 1 (/ 1 (- x))) 3)) into (pow x 3) 23.802 * * * [progress]: simplifying candidates 23.803 * * * * [progress]: [ 1 / 63 ] simplifiying candidate # 23.803 * * * * [progress]: [ 2 / 63 ] simplifiying candidate # 23.803 * * * * [progress]: [ 3 / 63 ] simplifiying candidate # 23.803 * * * * [progress]: [ 4 / 63 ] simplifiying candidate # 23.803 * * * * [progress]: [ 5 / 63 ] simplifiying candidate # 23.803 * * * * [progress]: [ 6 / 63 ] simplifiying candidate # 23.803 * * * * [progress]: [ 7 / 63 ] simplifiying candidate # 23.803 * * * * [progress]: [ 8 / 63 ] simplifiying candidate # 23.803 * * * * [progress]: [ 9 / 63 ] simplifiying candidate # 23.803 * * * * [progress]: [ 10 / 63 ] simplifiying candidate # 23.803 * * * * [progress]: [ 11 / 63 ] simplifiying candidate # 23.803 * * * * [progress]: [ 12 / 63 ] simplifiying candidate # 23.803 * * * * [progress]: [ 13 / 63 ] simplifiying candidate # 23.803 * * * * [progress]: [ 14 / 63 ] simplifiying candidate # 23.803 * * * * [progress]: [ 15 / 63 ] simplifiying candidate # 23.803 * * * * [progress]: [ 16 / 63 ] simplifiying candidate # 23.803 * * * * [progress]: [ 17 / 63 ] simplifiying candidate # 23.803 * * * * [progress]: [ 18 / 63 ] simplifiying candidate # 23.803 * * * * [progress]: [ 19 / 63 ] simplifiying candidate # 23.803 * * * * [progress]: [ 20 / 63 ] simplifiying candidate # 23.803 * * * * [progress]: [ 21 / 63 ] simplifiying candidate # 23.803 * * * * [progress]: [ 22 / 63 ] simplifiying candidate # 23.803 * * * * [progress]: [ 23 / 63 ] simplifiying candidate # 23.803 * * * * [progress]: [ 24 / 63 ] simplifiying candidate # 23.804 * * * * [progress]: [ 25 / 63 ] simplifiying candidate # 23.804 * * * * [progress]: [ 26 / 63 ] simplifiying candidate #real (real->posit16 (/ -1/8 (* (* x x) x))))) (/ 1/2 x))))> 23.804 * * * * [progress]: [ 27 / 63 ] simplifiying candidate # 23.804 * * * * [progress]: [ 28 / 63 ] simplifiying candidate # 23.804 * * * * [progress]: [ 29 / 63 ] simplifiying candidate # 23.804 * * * * [progress]: [ 30 / 63 ] simplifiying candidate # 23.804 * * * * [progress]: [ 31 / 63 ] simplifiying candidate # 23.804 * * * * [progress]: [ 32 / 63 ] simplifiying candidate # 23.804 * * * * [progress]: [ 33 / 63 ] simplifiying candidate # 23.804 * * * * [progress]: [ 34 / 63 ] simplifiying candidate # 23.804 * * * * [progress]: [ 35 / 63 ] simplifiying candidate # 23.804 * * * * [progress]: [ 36 / 63 ] simplifiying candidate # 23.804 * * * * [progress]: [ 37 / 63 ] simplifiying candidate # 23.804 * * * * [progress]: [ 38 / 63 ] simplifiying candidate # 23.804 * * * * [progress]: [ 39 / 63 ] simplifiying candidate # 23.804 * * * * [progress]: [ 40 / 63 ] simplifiying candidate # 23.804 * * * * [progress]: [ 41 / 63 ] simplifiying candidate # 23.804 * * * * [progress]: [ 42 / 63 ] simplifiying candidate # 23.804 * * * * [progress]: [ 43 / 63 ] simplifiying candidate # 23.804 * * * * [progress]: [ 44 / 63 ] simplifiying candidate # 23.804 * * * * [progress]: [ 45 / 63 ] simplifiying candidate # 23.804 * * * * [progress]: [ 46 / 63 ] simplifiying candidate # 23.804 * * * * [progress]: [ 47 / 63 ] simplifiying candidate # 23.804 * * * * [progress]: [ 48 / 63 ] simplifiying candidate # 23.804 * * * * 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23.805 * [simplify]: Simplifying: (expm1 (/ -1/8 (* (* x x) x))) (log1p (/ -1/8 (* (* x x) x))) (- (log -1/8) (+ (+ (log x) (log x)) (log x))) (- (log -1/8) (+ (log (* x x)) (log x))) (- (log -1/8) (log (* (* x x) x))) (log (/ -1/8 (* (* x x) x))) (exp (/ -1/8 (* (* x x) x))) (/ (* (* -1/8 -1/8) -1/8) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x))) (/ (* (* -1/8 -1/8) -1/8) (* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x))) (/ (* (* -1/8 -1/8) -1/8) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x))) (* (cbrt (/ -1/8 (* (* x x) x))) (cbrt (/ -1/8 (* (* x x) x)))) (cbrt (/ -1/8 (* (* x x) x))) (* (* (/ -1/8 (* (* x x) x)) (/ -1/8 (* (* x x) x))) (/ -1/8 (* (* x x) x))) (sqrt (/ -1/8 (* (* x x) x))) (sqrt (/ -1/8 (* (* x x) x))) (- -1/8) (- (* (* x x) x)) (/ (* (cbrt -1/8) (cbrt -1/8)) (* x x)) (/ (cbrt -1/8) x) (/ (sqrt -1/8) (* x x)) (/ (sqrt -1/8) x) (/ 1 (* x x)) (/ -1/8 x) (/ 1 (* (* x x) x)) (/ (* (* x x) x) -1/8) (/ -1/8 (* x x)) (/ (* (* x x) x) (cbrt -1/8)) (/ (* (* x x) x) (sqrt -1/8)) (/ (* (* x x) x) -1/8) (real->posit16 (/ -1/8 (* (* x x) x))) (expm1 (* (* x x) x)) (log1p (* (* x x) x)) (+ (+ 1 1) 1) (+ 2 1) (+ (+ 1 1) 1) (+ (* 2 1) 1) (* (* x x) x) (* (* x x) x) (+ (+ 1 1) 1) (+ 2 1) (+ (+ 1 1) 1) (+ (* 2 1) 1) (+ (+ (log x) (log x)) (log x)) (+ (log (* x x)) (log x)) (log (* (* x x) x)) (exp (* (* x x) x)) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)) (* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x)) (* (cbrt (* (* x x) x)) (cbrt (* (* x x) x))) (cbrt (* (* x x) x)) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)) (sqrt (* (* x x) x)) (sqrt (* (* x x) x)) (* x (sqrt x)) (* x (sqrt x)) (* (* x x) (* (cbrt x) (cbrt x))) (* (* x x) (sqrt x)) (* (* x x) 1) (* x x) (real->posit16 (* (* x x) x)) (/ -1/8 (pow x 3)) (/ -1/8 (pow x 3)) (/ -1/8 (pow x 3)) (pow x 3) (pow x 3) (pow x 3) 23.806 * * [simplify]: iteration 1: (74 enodes) 23.825 * * [simplify]: iteration 2: (163 enodes) 23.907 * * [simplify]: iteration 3: (441 enodes) 24.315 * * [simplify]: iteration 4: (1499 enodes) 29.475 * * [simplify]: Extracting #0: cost 37 inf + 0 29.476 * * [simplify]: Extracting #1: cost 517 inf + 44 29.483 * * [simplify]: Extracting #2: cost 1027 inf + 21609 29.540 * * [simplify]: Extracting #3: cost 411 inf + 178697 29.643 * * [simplify]: Extracting #4: cost 57 inf + 318747 29.734 * * [simplify]: Extracting #5: cost 0 inf + 345426 29.852 * [simplify]: Simplified to: (expm1 (/ -1/8 (* x (* x x)))) (log1p (/ -1/8 (* x (* x x)))) (log (/ -1/8 (* x (* x x)))) (log (/ -1/8 (* x (* x x)))) (log (/ -1/8 (* x (* x x)))) (log (/ -1/8 (* x (* x x)))) (exp (/ -1/8 (* x (* x x)))) (/ (/ -1/512 x) (* (* (* x x) (* x x)) (* (* x x) (* x x)))) (/ (/ -1/512 x) (* (* (* x x) (* x x)) (* (* x x) (* x x)))) (/ (/ -1/512 x) (* (* (* x x) (* x x)) (* (* x x) (* x x)))) (* (cbrt (/ -1/8 (* x (* x x)))) (cbrt (/ -1/8 (* x (* x x))))) (cbrt (/ -1/8 (* x (* x x)))) (/ (/ -1/512 x) (* (* (* x x) (* x x)) (* (* x x) (* x x)))) (sqrt (/ -1/8 (* x (* x x)))) (sqrt (/ -1/8 (* x (* x x)))) 1/8 (* (* x x) (- x)) (* (/ (cbrt -1/8) x) (/ (cbrt -1/8) x)) (/ (cbrt -1/8) x) (/ (sqrt -1/8) (* x x)) (/ (sqrt -1/8) x) (/ 1 (* x x)) (/ -1/8 x) (/ (/ 1 (* x x)) x) (* (* x x) (/ x -1/8)) (/ -1/8 (* x x)) (/ (* x (* x x)) (cbrt -1/8)) (/ x (/ (sqrt -1/8) (* x x))) (* (* x x) (/ x -1/8)) (real->posit16 (/ -1/8 (* x (* x x)))) (expm1 (* x (* x x))) (log1p (* x (* x x))) 3 3 3 3 (* x (* x x)) (* x (* x x)) 3 3 3 3 (* (log x) 3) (* (log x) 3) (* (log x) 3) (exp (* x (* x x))) (* (* x (* x x)) (* (* x (* x x)) (* x (* x x)))) (* (* x (* x x)) (* (* x (* x x)) (* x (* x x)))) (* x x) x (* (* x (* x x)) (* (* x (* x x)) (* x (* x x)))) (sqrt (* x (* x x))) (sqrt (* x (* x x))) (* x (sqrt x)) (* x (sqrt x)) (* (* x (cbrt x)) (* x (cbrt x))) (* (* x x) (sqrt x)) (* x x) (* x x) (real->posit16 (* x (* x x))) (/ -1/8 (* x (* x x))) (/ -1/8 (* x (* x x))) (/ -1/8 (* x (* x x))) (* x (* x x)) (* x (* x x)) (* x (* x x)) 29.858 * * * [progress]: adding candidates to table 30.482 * [progress]: [Phase 3 of 3] Extracting. 30.482 * * [regime]: Finding splitpoints for: (# #) 30.482 * * * [regime-changes]: Trying 1 branch expressions: (x) 30.482 * * * * [regimes]: Trying to branch on x from (# #) 30.500 * * * [regime]: Found split indices: #