1.050 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.330 * * * [progress]: [2/2] Setting up program. 0.337 * [progress]: [Phase 2 of 3] Improving. 0.338 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.344 * [simplify]: Simplifying: (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) 0.346 * * [simplify]: iteration 0: 10 enodes 0.357 * * [simplify]: iteration 1: 24 enodes 0.365 * * [simplify]: iteration 2: 30 enodes 0.375 * * [simplify]: iteration 3: 53 enodes 0.394 * * [simplify]: iteration 4: 108 enodes 0.452 * * [simplify]: iteration 5: 301 enodes 0.697 * * [simplify]: iteration 6: 894 enodes 1.157 * * [simplify]: iteration complete: 2001 enodes 1.158 * * [simplify]: Extracting #0: cost 1 inf + 0 1.158 * * [simplify]: Extracting #1: cost 4 inf + 0 1.159 * * [simplify]: Extracting #2: cost 68 inf + 1 1.161 * * [simplify]: Extracting #3: cost 246 inf + 3 1.164 * * [simplify]: Extracting #4: cost 413 inf + 412 1.170 * * [simplify]: Extracting #5: cost 393 inf + 19136 1.187 * * [simplify]: Extracting #6: cost 237 inf + 98121 1.204 * * [simplify]: Extracting #7: cost 115 inf + 174009 1.242 * * [simplify]: Extracting #8: cost 9 inf + 249443 1.274 * * [simplify]: Extracting #9: cost 0 inf + 258091 1.322 * [simplify]: Simplified to: (sqrt (+ 1 (exp x))) 1.331 * * [progress]: iteration 1 / 4 1.331 * * * [progress]: picking best candidate 1.333 * * * * [pick]: Picked # 1.333 * * * [progress]: localizing error 1.343 * * * [progress]: generating rewritten candidates 1.343 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 1.350 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.365 * * * [progress]: generating series expansions 1.365 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 1.368 * [backup-simplify]: Simplify (+ 1 (exp x)) into (+ (exp x) 1) 1.368 * [approximate]: Taking taylor expansion of (+ (exp x) 1) in (x) around 0 1.369 * [taylor]: Taking taylor expansion of (+ (exp x) 1) in x 1.369 * [taylor]: Taking taylor expansion of (exp x) in x 1.369 * [taylor]: Taking taylor expansion of x in x 1.369 * [backup-simplify]: Simplify 0 into 0 1.369 * [backup-simplify]: Simplify 1 into 1 1.369 * [backup-simplify]: Simplify (exp 0) into 1 1.369 * [taylor]: Taking taylor expansion of 1 in x 1.369 * [backup-simplify]: Simplify 1 into 1 1.369 * [taylor]: Taking taylor expansion of (+ (exp x) 1) in x 1.369 * [taylor]: Taking taylor expansion of (exp x) in x 1.369 * [taylor]: Taking taylor expansion of x in x 1.369 * [backup-simplify]: Simplify 0 into 0 1.370 * [backup-simplify]: Simplify 1 into 1 1.370 * [backup-simplify]: Simplify (exp 0) into 1 1.370 * [taylor]: Taking taylor expansion of 1 in x 1.370 * [backup-simplify]: Simplify 1 into 1 1.371 * [backup-simplify]: Simplify (+ 1 1) into 2 1.371 * [backup-simplify]: Simplify 2 into 2 1.372 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 1.372 * [backup-simplify]: Simplify (+ 1 0) into 1 1.372 * [backup-simplify]: Simplify 1 into 1 1.373 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.374 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.374 * [backup-simplify]: Simplify 1/2 into 1/2 1.376 * [backup-simplify]: Simplify (+ (* 1/2 (pow x 2)) (+ (* 1 x) 2)) into (+ x (+ (* 1/2 (pow x 2)) 2)) 1.376 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) 1.376 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in (x) around 0 1.376 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x 1.376 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.376 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.376 * [taylor]: Taking taylor expansion of x in x 1.376 * [backup-simplify]: Simplify 0 into 0 1.376 * [backup-simplify]: Simplify 1 into 1 1.376 * [backup-simplify]: Simplify (/ 1 1) into 1 1.377 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.377 * [taylor]: Taking taylor expansion of 1 in x 1.377 * [backup-simplify]: Simplify 1 into 1 1.377 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x 1.377 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.377 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.377 * [taylor]: Taking taylor expansion of x in x 1.377 * [backup-simplify]: Simplify 0 into 0 1.377 * [backup-simplify]: Simplify 1 into 1 1.377 * [backup-simplify]: Simplify (/ 1 1) into 1 1.377 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.377 * [taylor]: Taking taylor expansion of 1 in x 1.377 * [backup-simplify]: Simplify 1 into 1 1.378 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) 1.378 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) 1.378 * [backup-simplify]: Simplify (+ 0 0) into 0 1.378 * [backup-simplify]: Simplify 0 into 0 1.379 * [backup-simplify]: Simplify (+ 0 0) into 0 1.379 * [backup-simplify]: Simplify 0 into 0 1.379 * [backup-simplify]: Simplify (+ 0 0) into 0 1.379 * [backup-simplify]: Simplify 0 into 0 1.380 * [backup-simplify]: Simplify (+ 0 0) into 0 1.380 * [backup-simplify]: Simplify 0 into 0 1.380 * [backup-simplify]: Simplify (+ 0 0) into 0 1.380 * [backup-simplify]: Simplify 0 into 0 1.380 * [backup-simplify]: Simplify (+ 0 0) into 0 1.381 * [backup-simplify]: Simplify 0 into 0 1.381 * [backup-simplify]: Simplify (+ (exp (/ 1 (/ 1 x))) 1) into (+ (exp x) 1) 1.381 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 (- x)))) into (+ (exp (/ -1 x)) 1) 1.381 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in (x) around 0 1.381 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in x 1.381 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.381 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.381 * [taylor]: Taking taylor expansion of -1 in x 1.381 * [backup-simplify]: Simplify -1 into -1 1.381 * [taylor]: Taking taylor expansion of x in x 1.381 * [backup-simplify]: Simplify 0 into 0 1.381 * [backup-simplify]: Simplify 1 into 1 1.382 * [backup-simplify]: Simplify (/ -1 1) into -1 1.382 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 1.382 * [taylor]: Taking taylor expansion of 1 in x 1.382 * [backup-simplify]: Simplify 1 into 1 1.382 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in x 1.382 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.382 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.382 * [taylor]: Taking taylor expansion of -1 in x 1.382 * [backup-simplify]: Simplify -1 into -1 1.382 * [taylor]: Taking taylor expansion of x in x 1.382 * [backup-simplify]: Simplify 0 into 0 1.382 * [backup-simplify]: Simplify 1 into 1 1.383 * [backup-simplify]: Simplify (/ -1 1) into -1 1.383 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 1.383 * [taylor]: Taking taylor expansion of 1 in x 1.383 * [backup-simplify]: Simplify 1 into 1 1.383 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) 1.383 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) 1.383 * [backup-simplify]: Simplify (+ 0 0) into 0 1.383 * [backup-simplify]: Simplify 0 into 0 1.384 * [backup-simplify]: Simplify (+ 0 0) into 0 1.384 * [backup-simplify]: Simplify 0 into 0 1.384 * [backup-simplify]: Simplify (+ 0 0) into 0 1.384 * [backup-simplify]: Simplify 0 into 0 1.385 * [backup-simplify]: Simplify (+ 0 0) into 0 1.385 * [backup-simplify]: Simplify 0 into 0 1.385 * [backup-simplify]: Simplify (+ 0 0) into 0 1.385 * [backup-simplify]: Simplify 0 into 0 1.386 * [backup-simplify]: Simplify (+ 0 0) into 0 1.386 * [backup-simplify]: Simplify 0 into 0 1.386 * [backup-simplify]: Simplify (+ (exp (/ -1 (/ 1 (- x)))) 1) into (+ (exp x) 1) 1.386 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.386 * [backup-simplify]: Simplify (sqrt (+ 1 (exp x))) into (sqrt (+ (exp x) 1)) 1.386 * [approximate]: Taking taylor expansion of (sqrt (+ (exp x) 1)) in (x) around 0 1.386 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) 1)) in x 1.386 * [taylor]: Taking taylor expansion of (+ (exp x) 1) in x 1.386 * [taylor]: Taking taylor expansion of (exp x) in x 1.386 * [taylor]: Taking taylor expansion of x in x 1.386 * [backup-simplify]: Simplify 0 into 0 1.386 * [backup-simplify]: Simplify 1 into 1 1.386 * [backup-simplify]: Simplify (exp 0) into 1 1.386 * [taylor]: Taking taylor expansion of 1 in x 1.386 * [backup-simplify]: Simplify 1 into 1 1.387 * [backup-simplify]: Simplify (+ 1 1) into 2 1.387 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.388 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 1.388 * [backup-simplify]: Simplify (+ 1 0) into 1 1.389 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) 1.389 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) 1)) in x 1.389 * [taylor]: Taking taylor expansion of (+ (exp x) 1) in x 1.389 * [taylor]: Taking taylor expansion of (exp x) in x 1.389 * [taylor]: Taking taylor expansion of x in x 1.389 * [backup-simplify]: Simplify 0 into 0 1.389 * [backup-simplify]: Simplify 1 into 1 1.389 * [backup-simplify]: Simplify (exp 0) into 1 1.389 * [taylor]: Taking taylor expansion of 1 in x 1.389 * [backup-simplify]: Simplify 1 into 1 1.389 * [backup-simplify]: Simplify (+ 1 1) into 2 1.390 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.390 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 1.390 * [backup-simplify]: Simplify (+ 1 0) into 1 1.391 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) 1.392 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.392 * [backup-simplify]: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) 1.393 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.394 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.397 * [backup-simplify]: Simplify (/ (- 1/2 (pow (/ 1/2 (sqrt 2)) 2) (+)) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) 1.401 * [backup-simplify]: Simplify (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) 1.405 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (pow x 2)) (+ (* (/ 1/2 (sqrt 2)) x) (sqrt 2))) into (- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3)))) 1.405 * [backup-simplify]: Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ (exp (/ 1 x)) 1)) 1.405 * [approximate]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) 1)) in (x) around 0 1.405 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) 1)) in x 1.405 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x 1.405 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.405 * [taylor]: Taking taylor expansion of x in x 1.405 * [backup-simplify]: Simplify 0 into 0 1.406 * [backup-simplify]: Simplify 1 into 1 1.406 * [backup-simplify]: Simplify (/ 1 1) into 1 1.406 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.406 * [taylor]: Taking taylor expansion of 1 in x 1.406 * [backup-simplify]: Simplify 1 into 1 1.406 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) 1.406 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) 1.406 * [backup-simplify]: Simplify (+ 0 0) into 0 1.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 1.406 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) 1)) in x 1.406 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x 1.406 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.406 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.406 * [taylor]: Taking taylor expansion of x in x 1.406 * [backup-simplify]: Simplify 0 into 0 1.406 * [backup-simplify]: Simplify 1 into 1 1.407 * [backup-simplify]: Simplify (/ 1 1) into 1 1.407 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.407 * [taylor]: Taking taylor expansion of 1 in x 1.407 * [backup-simplify]: Simplify 1 into 1 1.407 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) 1.407 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) 1.407 * [backup-simplify]: Simplify (+ 0 0) into 0 1.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 1.407 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) 1.407 * [backup-simplify]: Simplify 0 into 0 1.408 * [backup-simplify]: Simplify (+ 0 0) into 0 1.408 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 1.408 * [backup-simplify]: Simplify 0 into 0 1.408 * [backup-simplify]: Simplify (+ 0 0) into 0 1.409 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 1.409 * [backup-simplify]: Simplify 0 into 0 1.409 * [backup-simplify]: Simplify (+ 0 0) into 0 1.410 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 1.410 * [backup-simplify]: Simplify 0 into 0 1.410 * [backup-simplify]: Simplify (+ 0 0) into 0 1.411 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 1.411 * [backup-simplify]: Simplify 0 into 0 1.411 * [backup-simplify]: Simplify (+ 0 0) into 0 1.411 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 1.412 * [backup-simplify]: Simplify 0 into 0 1.412 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 (/ 1 x))) 1)) into (sqrt (+ (exp x) 1)) 1.412 * [backup-simplify]: Simplify (sqrt (+ 1 (exp (/ 1 (- x))))) into (sqrt (+ (exp (/ -1 x)) 1)) 1.412 * [approximate]: Taking taylor expansion of (sqrt (+ (exp (/ -1 x)) 1)) in (x) around 0 1.412 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 x)) 1)) in x 1.412 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in x 1.412 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.412 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.412 * [taylor]: Taking taylor expansion of -1 in x 1.412 * [backup-simplify]: Simplify -1 into -1 1.412 * [taylor]: Taking taylor expansion of x in x 1.412 * [backup-simplify]: Simplify 0 into 0 1.412 * [backup-simplify]: Simplify 1 into 1 1.412 * [backup-simplify]: Simplify (/ -1 1) into -1 1.412 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 1.412 * [taylor]: Taking taylor expansion of 1 in x 1.412 * [backup-simplify]: Simplify 1 into 1 1.412 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) 1.412 * [backup-simplify]: Simplify (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) 1.413 * [backup-simplify]: Simplify (+ 0 0) into 0 1.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 1.413 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 x)) 1)) in x 1.413 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in x 1.413 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.413 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.413 * [taylor]: Taking taylor expansion of -1 in x 1.413 * [backup-simplify]: Simplify -1 into -1 1.413 * [taylor]: Taking taylor expansion of x in x 1.413 * [backup-simplify]: Simplify 0 into 0 1.413 * [backup-simplify]: Simplify 1 into 1 1.413 * [backup-simplify]: Simplify (/ -1 1) into -1 1.413 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 1.413 * [taylor]: Taking taylor expansion of 1 in x 1.413 * [backup-simplify]: Simplify 1 into 1 1.413 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) 1.413 * [backup-simplify]: Simplify (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) 1.414 * [backup-simplify]: Simplify (+ 0 0) into 0 1.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 1.414 * [backup-simplify]: Simplify (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) 1.414 * [backup-simplify]: Simplify 0 into 0 1.414 * [backup-simplify]: Simplify (+ 0 0) into 0 1.414 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 1.415 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify (+ 0 0) into 0 1.415 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 1.415 * [backup-simplify]: Simplify 0 into 0 1.416 * [backup-simplify]: Simplify (+ 0 0) into 0 1.416 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 1.416 * [backup-simplify]: Simplify 0 into 0 1.416 * [backup-simplify]: Simplify (+ 0 0) into 0 1.417 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify (+ 0 0) into 0 1.418 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 1.418 * [backup-simplify]: Simplify 0 into 0 1.418 * [backup-simplify]: Simplify (sqrt (+ (exp (/ -1 (/ 1 (- x)))) 1)) into (sqrt (+ (exp x) 1)) 1.418 * * * [progress]: simplifying candidates 1.418 * * * * [progress]: [ 1 / 46 ] simplifiying candidate # 1.418 * * * * [progress]: [ 2 / 46 ] simplifiying candidate # 1.418 * * * * [progress]: [ 3 / 46 ] simplifiying candidate # 1.418 * * * * [progress]: [ 4 / 46 ] simplifiying candidate # 1.418 * * * * [progress]: [ 5 / 46 ] simplifiying candidate # 1.418 * * * * [progress]: [ 6 / 46 ] simplifiying candidate # 1.418 * * * * [progress]: [ 7 / 46 ] simplifiying candidate # 1.419 * * * * [progress]: [ 8 / 46 ] simplifiying candidate # 1.419 * * * * [progress]: [ 9 / 46 ] simplifiying candidate # 1.419 * * * * [progress]: [ 10 / 46 ] simplifiying candidate # 1.419 * * * * [progress]: [ 11 / 46 ] simplifiying candidate # 1.419 * * * * [progress]: [ 12 / 46 ] simplifiying candidate # 1.419 * * * * [progress]: [ 13 / 46 ] simplifiying candidate # 1.419 * * * * [progress]: [ 14 / 46 ] simplifiying candidate # 1.419 * * * * [progress]: [ 15 / 46 ] simplifiying candidate # 1.419 * * * * [progress]: [ 16 / 46 ] simplifiying candidate # 1.419 * * * * [progress]: [ 17 / 46 ] simplifiying candidate #real (real->posit16 (+ 1 (exp x))))))> 1.419 * * * * [progress]: [ 18 / 46 ] simplifiying candidate # 1.419 * * * * [progress]: [ 19 / 46 ] simplifiying candidate # 1.419 * * * * [progress]: [ 20 / 46 ] simplifiying candidate # 1.419 * * * * [progress]: [ 21 / 46 ] simplifiying candidate # 1.419 * * * * [progress]: [ 22 / 46 ] simplifiying candidate # 1.419 * * * * [progress]: [ 23 / 46 ] simplifiying candidate # 1.419 * * * * [progress]: [ 24 / 46 ] simplifiying candidate # 1.419 * * * * [progress]: [ 25 / 46 ] simplifiying candidate # 1.419 * * * * [progress]: [ 26 / 46 ] simplifiying candidate # 1.419 * * * * [progress]: [ 27 / 46 ] simplifiying candidate # 1.419 * * * * [progress]: [ 28 / 46 ] simplifiying candidate # 1.419 * * * * [progress]: [ 29 / 46 ] simplifiying candidate # 1.419 * * * * [progress]: [ 30 / 46 ] simplifiying candidate # 1.419 * * * * [progress]: [ 31 / 46 ] simplifiying candidate # 1.419 * * * * [progress]: [ 32 / 46 ] simplifiying candidate # 1.419 * * * * [progress]: [ 33 / 46 ] simplifiying candidate # 1.419 * * * * [progress]: [ 34 / 46 ] simplifiying candidate # 1.419 * * * * [progress]: [ 35 / 46 ] simplifiying candidate # 1.419 * * * * [progress]: [ 36 / 46 ] simplifiying candidate # 1.419 * * * * [progress]: [ 37 / 46 ] simplifiying candidate # 1.419 * * * * [progress]: [ 38 / 46 ] simplifiying candidate # 1.420 * * * * [progress]: [ 39 / 46 ] simplifiying candidate # 1.420 * * * * [progress]: [ 40 / 46 ] simplifiying candidate #real (real->posit16 (sqrt (+ 1 (exp x))))))> 1.420 * * * * [progress]: [ 41 / 46 ] simplifiying candidate # 1.420 * * * * [progress]: [ 42 / 46 ] simplifiying candidate # 1.420 * * * * [progress]: [ 43 / 46 ] simplifiying candidate # 1.420 * * * * [progress]: [ 44 / 46 ] simplifiying candidate # 1.420 * * * * [progress]: [ 45 / 46 ] simplifiying candidate # 1.420 * * * * [progress]: [ 46 / 46 ] simplifiying candidate # 1.420 * [simplify]: Simplifying: (expm1 (+ 1 (exp x))) (log1p (+ 1 (exp x))) (* (exp 1) (exp (exp x))) (log (+ 1 (exp x))) (exp (+ 1 (exp x))) (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))) (cbrt (+ 1 (exp x))) (* (* (+ 1 (exp x)) (+ 1 (exp x))) (+ 1 (exp x))) (sqrt (+ 1 (exp x))) (sqrt (+ 1 (exp x))) (+ (pow 1 3) (pow (exp x) 3)) (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))) (- (* 1 1) (* (exp x) (exp x))) (- 1 (exp x)) (+ 1 (exp x)) (real->posit16 (+ 1 (exp x))) (expm1 (sqrt (+ 1 (exp x)))) (log1p (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x)))) (exp (sqrt (+ 1 (exp x)))) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))) (cbrt (sqrt (+ 1 (exp x)))) (* (* (sqrt (+ 1 (exp x))) (sqrt (+ 1 (exp x)))) (sqrt (+ 1 (exp x)))) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))) (sqrt (cbrt (+ 1 (exp x)))) (sqrt (sqrt (+ 1 (exp x)))) (sqrt (sqrt (+ 1 (exp x)))) (sqrt 1) (sqrt (+ 1 (exp x))) (sqrt 1) (sqrt (+ 1 (exp x))) (sqrt (+ (pow 1 3) (pow (exp x) 3))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x))))) (sqrt (- (* 1 1) (* (exp x) (exp x)))) (sqrt (- 1 (exp x))) (/ 1 2) (sqrt (sqrt (+ 1 (exp x)))) (sqrt (sqrt (+ 1 (exp x)))) (real->posit16 (sqrt (+ 1 (exp x)))) (+ x (+ (* 1/2 (pow x 2)) 2)) (+ (exp x) 1) (+ (exp x) 1) (- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3)))) (sqrt (+ (exp x) 1)) (sqrt (+ (exp x) 1)) 1.421 * * [simplify]: iteration 0: 67 enodes 1.451 * * [simplify]: iteration 1: 156 enodes 1.555 * * [simplify]: iteration 2: 461 enodes 1.826 * * [simplify]: iteration 3: 1297 enodes 2.158 * * [simplify]: iteration complete: 2020 enodes 2.158 * * [simplify]: Extracting #0: cost 33 inf + 0 2.159 * * [simplify]: Extracting #1: cost 161 inf + 2 2.161 * * [simplify]: Extracting #2: cost 377 inf + 2881 2.166 * * [simplify]: Extracting #3: cost 252 inf + 20075 2.176 * * [simplify]: Extracting #4: cost 120 inf + 42544 2.191 * * [simplify]: Extracting #5: cost 18 inf + 71928 2.222 * * [simplify]: Extracting #6: cost 0 inf + 78215 2.237 * [simplify]: Simplified to: (expm1 (+ (exp x) 1)) (log1p (+ (exp x) 1)) (* (exp (exp x)) E) (log1p (exp x)) (* (exp (exp x)) E) (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) (cbrt (+ (exp x) 1)) (* (* (+ (exp x) 1) (+ (exp x) 1)) (+ (exp x) 1)) (sqrt (+ (exp x) 1)) (sqrt (+ (exp x) 1)) (fma (* (exp x) (exp x)) (exp x) 1) (- (fma (exp x) (exp x) 1) (exp x)) (- 1 (* (exp x) (exp x))) (- 1 (exp x)) (+ (exp x) 1) (real->posit16 (+ (exp x) 1)) (expm1 (sqrt (+ (exp x) 1))) (log1p (sqrt (+ (exp x) 1))) (log (sqrt (+ (exp x) 1))) (exp (sqrt (+ (exp x) 1))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (sqrt (+ (exp x) 1))) (* (sqrt (+ (exp x) 1)) (+ (exp x) 1)) (fabs (cbrt (+ (exp x) 1))) (sqrt (cbrt (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1))) 1 (sqrt (+ (exp x) 1)) 1 (sqrt (+ (exp x) 1)) (sqrt (fma (* (exp x) (exp x)) (exp x) 1)) (sqrt (- (fma (exp x) (exp x) 1) (exp x))) (sqrt (- 1 (* (exp x) (exp x)))) (sqrt (- 1 (exp x))) 1/2 (sqrt (sqrt (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1))) (real->posit16 (sqrt (+ (exp x) 1))) (+ 2 (fma x (* 1/2 x) x)) (+ (exp x) 1) (+ (exp x) 1) (fma 1/4 (/ x (/ (sqrt 2) x)) (- (fma (/ x (sqrt 2)) 1/2 (sqrt 2)) (* 1/16 (/ x (/ (sqrt 2) x))))) (sqrt (+ (exp x) 1)) (sqrt (+ (exp x) 1)) 2.239 * * * [progress]: adding candidates to table 2.371 * * [progress]: iteration 2 / 4 2.371 * * * [progress]: picking best candidate 2.375 * * * * [pick]: Picked # 2.375 * * * [progress]: localizing error 2.386 * * * [progress]: generating rewritten candidates 2.386 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 2.389 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 2.389 * * * [progress]: generating series expansions 2.389 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 2.390 * [backup-simplify]: Simplify (sqrt (exp x)) into (sqrt (exp x)) 2.390 * [approximate]: Taking taylor expansion of (sqrt (exp x)) in (x) around 0 2.390 * [taylor]: Taking taylor expansion of (sqrt (exp x)) in x 2.390 * [taylor]: Taking taylor expansion of (exp x) in x 2.390 * [taylor]: Taking taylor expansion of x in x 2.390 * [backup-simplify]: Simplify 0 into 0 2.390 * [backup-simplify]: Simplify 1 into 1 2.390 * [backup-simplify]: Simplify (exp 0) into 1 2.390 * [backup-simplify]: Simplify (sqrt 1) into 1 2.391 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 2.391 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 2.391 * [taylor]: Taking taylor expansion of (sqrt (exp x)) in x 2.391 * [taylor]: Taking taylor expansion of (exp x) in x 2.391 * [taylor]: Taking taylor expansion of x in x 2.391 * [backup-simplify]: Simplify 0 into 0 2.391 * [backup-simplify]: Simplify 1 into 1 2.391 * [backup-simplify]: Simplify (exp 0) into 1 2.392 * [backup-simplify]: Simplify (sqrt 1) into 1 2.392 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 2.393 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 2.393 * [backup-simplify]: Simplify 1 into 1 2.393 * [backup-simplify]: Simplify 1/2 into 1/2 2.394 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 2.394 * [backup-simplify]: Simplify (/ (- 1/2 (pow 1/2 2) (+)) (* 2 1)) into 1/8 2.394 * [backup-simplify]: Simplify 1/8 into 1/8 2.394 * [backup-simplify]: Simplify (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) 1)) into (+ (* 1/2 x) (+ (* 1/8 (pow x 2)) 1)) 2.395 * [backup-simplify]: Simplify (sqrt (exp (/ 1 x))) into (sqrt (exp (/ 1 x))) 2.395 * [approximate]: Taking taylor expansion of (sqrt (exp (/ 1 x))) in (x) around 0 2.395 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 x))) in x 2.395 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.395 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.395 * [taylor]: Taking taylor expansion of x in x 2.395 * [backup-simplify]: Simplify 0 into 0 2.395 * [backup-simplify]: Simplify 1 into 1 2.395 * [backup-simplify]: Simplify (/ 1 1) into 1 2.395 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.395 * [backup-simplify]: Simplify (sqrt (exp (/ 1 x))) into (sqrt (exp (/ 1 x))) 2.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 x))))) into 0 2.395 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 x))) in x 2.395 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.395 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.395 * [taylor]: Taking taylor expansion of x in x 2.395 * [backup-simplify]: Simplify 0 into 0 2.395 * [backup-simplify]: Simplify 1 into 1 2.395 * [backup-simplify]: Simplify (/ 1 1) into 1 2.396 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.396 * [backup-simplify]: Simplify (sqrt (exp (/ 1 x))) into (sqrt (exp (/ 1 x))) 2.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 x))))) into 0 2.396 * [backup-simplify]: Simplify (sqrt (exp (/ 1 x))) into (sqrt (exp (/ 1 x))) 2.396 * [backup-simplify]: Simplify 0 into 0 2.396 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 x))))) into 0 2.396 * [backup-simplify]: Simplify 0 into 0 2.397 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 2.397 * [backup-simplify]: Simplify 0 into 0 2.397 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 2.397 * [backup-simplify]: Simplify 0 into 0 2.398 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 2.398 * [backup-simplify]: Simplify 0 into 0 2.399 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 2.399 * [backup-simplify]: Simplify 0 into 0 2.399 * [backup-simplify]: Simplify (sqrt (exp (/ 1 (/ 1 x)))) into (sqrt (exp x)) 2.399 * [backup-simplify]: Simplify (sqrt (exp (/ 1 (- x)))) into (sqrt (exp (/ -1 x))) 2.399 * [approximate]: Taking taylor expansion of (sqrt (exp (/ -1 x))) in (x) around 0 2.399 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 x))) in x 2.399 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.399 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.399 * [taylor]: Taking taylor expansion of -1 in x 2.399 * [backup-simplify]: Simplify -1 into -1 2.399 * [taylor]: Taking taylor expansion of x in x 2.399 * [backup-simplify]: Simplify 0 into 0 2.399 * [backup-simplify]: Simplify 1 into 1 2.399 * [backup-simplify]: Simplify (/ -1 1) into -1 2.399 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.399 * [backup-simplify]: Simplify (sqrt (exp (/ -1 x))) into (sqrt (exp (/ -1 x))) 2.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (/ -1 x))))) into 0 2.399 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 x))) in x 2.399 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.399 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.399 * [taylor]: Taking taylor expansion of -1 in x 2.399 * [backup-simplify]: Simplify -1 into -1 2.399 * [taylor]: Taking taylor expansion of x in x 2.399 * [backup-simplify]: Simplify 0 into 0 2.399 * [backup-simplify]: Simplify 1 into 1 2.400 * [backup-simplify]: Simplify (/ -1 1) into -1 2.400 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.400 * [backup-simplify]: Simplify (sqrt (exp (/ -1 x))) into (sqrt (exp (/ -1 x))) 2.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (/ -1 x))))) into 0 2.400 * [backup-simplify]: Simplify (sqrt (exp (/ -1 x))) into (sqrt (exp (/ -1 x))) 2.400 * [backup-simplify]: Simplify 0 into 0 2.400 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ -1 x))))) into 0 2.401 * [backup-simplify]: Simplify 0 into 0 2.401 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 2.401 * [backup-simplify]: Simplify 0 into 0 2.402 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 2.402 * [backup-simplify]: Simplify 0 into 0 2.402 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 2.402 * [backup-simplify]: Simplify 0 into 0 2.403 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 2.403 * [backup-simplify]: Simplify 0 into 0 2.403 * [backup-simplify]: Simplify (sqrt (exp (/ -1 (/ 1 (- x))))) into (sqrt (exp x)) 2.403 * * * * [progress]: [ 2 / 2 ] generating series at (2) 2.403 * [backup-simplify]: Simplify (hypot 1 (sqrt (exp x))) into (hypot 1 (sqrt (exp x))) 2.403 * [approximate]: Taking taylor expansion of (hypot 1 (sqrt (exp x))) in (x) around 0 2.403 * [taylor]: Taking taylor expansion of (hypot 1 (sqrt (exp x))) in x 2.404 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (sqrt (exp x)) (sqrt (exp x))))) 2.405 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (sqrt (exp x)) (sqrt (exp x)))) in x 2.405 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.405 * [taylor]: Taking taylor expansion of 1 in x 2.405 * [backup-simplify]: Simplify 1 into 1 2.405 * [taylor]: Taking taylor expansion of 1 in x 2.405 * [backup-simplify]: Simplify 1 into 1 2.405 * [taylor]: Taking taylor expansion of (* (sqrt (exp x)) (sqrt (exp x))) in x 2.405 * [taylor]: Taking taylor expansion of (sqrt (exp x)) in x 2.405 * [taylor]: Taking taylor expansion of (exp x) in x 2.405 * [taylor]: Taking taylor expansion of x in x 2.405 * [backup-simplify]: Simplify 0 into 0 2.405 * [backup-simplify]: Simplify 1 into 1 2.405 * [backup-simplify]: Simplify (exp 0) into 1 2.405 * [backup-simplify]: Simplify (sqrt 1) into 1 2.406 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 2.406 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 2.406 * [taylor]: Taking taylor expansion of (sqrt (exp x)) in x 2.406 * [taylor]: Taking taylor expansion of (exp x) in x 2.406 * [taylor]: Taking taylor expansion of x in x 2.406 * [backup-simplify]: Simplify 0 into 0 2.406 * [backup-simplify]: Simplify 1 into 1 2.406 * [backup-simplify]: Simplify (exp 0) into 1 2.406 * [backup-simplify]: Simplify (sqrt 1) into 1 2.407 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 2.407 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 2.408 * [backup-simplify]: Simplify (* 1 1) into 1 2.408 * [backup-simplify]: Simplify (* 1 1) into 1 2.408 * [backup-simplify]: Simplify (+ 1 1) into 2 2.408 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.409 * [backup-simplify]: Simplify (+ (* 1 1/2) (* 1/2 1)) into 1 2.410 * [backup-simplify]: Simplify (+ 0 1) into 1 2.410 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) 2.410 * [taylor]: Taking taylor expansion of (hypot 1 (sqrt (exp x))) in x 2.410 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (sqrt (exp x)) (sqrt (exp x))))) 2.410 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (sqrt (exp x)) (sqrt (exp x)))) in x 2.411 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.411 * [taylor]: Taking taylor expansion of 1 in x 2.411 * [backup-simplify]: Simplify 1 into 1 2.411 * [taylor]: Taking taylor expansion of 1 in x 2.411 * [backup-simplify]: Simplify 1 into 1 2.411 * [taylor]: Taking taylor expansion of (* (sqrt (exp x)) (sqrt (exp x))) in x 2.411 * [taylor]: Taking taylor expansion of (sqrt (exp x)) in x 2.411 * [taylor]: Taking taylor expansion of (exp x) in x 2.411 * [taylor]: Taking taylor expansion of x in x 2.411 * [backup-simplify]: Simplify 0 into 0 2.411 * [backup-simplify]: Simplify 1 into 1 2.411 * [backup-simplify]: Simplify (exp 0) into 1 2.411 * [backup-simplify]: Simplify (sqrt 1) into 1 2.412 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 2.412 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 2.412 * [taylor]: Taking taylor expansion of (sqrt (exp x)) in x 2.412 * [taylor]: Taking taylor expansion of (exp x) in x 2.412 * [taylor]: Taking taylor expansion of x in x 2.412 * [backup-simplify]: Simplify 0 into 0 2.412 * [backup-simplify]: Simplify 1 into 1 2.412 * [backup-simplify]: Simplify (exp 0) into 1 2.412 * [backup-simplify]: Simplify (sqrt 1) into 1 2.413 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 2.413 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 2.413 * [backup-simplify]: Simplify (* 1 1) into 1 2.414 * [backup-simplify]: Simplify (* 1 1) into 1 2.414 * [backup-simplify]: Simplify (+ 1 1) into 2 2.414 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.415 * [backup-simplify]: Simplify (+ (* 1 1/2) (* 1/2 1)) into 1 2.415 * [backup-simplify]: Simplify (+ 0 1) into 1 2.416 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) 2.416 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.417 * [backup-simplify]: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) 2.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.418 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 2.419 * [backup-simplify]: Simplify (/ (- 1/2 (pow 1/2 2) (+)) (* 2 1)) into 1/8 2.420 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 2.420 * [backup-simplify]: Simplify (/ (- 1/2 (pow 1/2 2) (+)) (* 2 1)) into 1/8 2.421 * [backup-simplify]: Simplify (+ (* 1 1/8) (+ (* 1/2 1/2) (* 1/8 1))) into 1/2 2.421 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.424 * [backup-simplify]: Simplify (/ (- 1/2 (pow (/ 1/2 (sqrt 2)) 2) (+)) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) 2.428 * [backup-simplify]: Simplify (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) 2.432 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (pow x 2)) (+ (* (/ 1/2 (sqrt 2)) x) (sqrt 2))) into (- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3)))) 2.433 * [backup-simplify]: Simplify (hypot 1 (sqrt (exp (/ 1 x)))) into (hypot 1 (sqrt (exp (/ 1 x)))) 2.433 * [approximate]: Taking taylor expansion of (hypot 1 (sqrt (exp (/ 1 x)))) in (x) around 0 2.433 * [taylor]: Taking taylor expansion of (hypot 1 (sqrt (exp (/ 1 x)))) in x 2.433 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (sqrt (exp (/ 1 x))) (sqrt (exp (/ 1 x)))))) 2.433 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (sqrt (exp (/ 1 x))) (sqrt (exp (/ 1 x))))) in x 2.433 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.433 * [taylor]: Taking taylor expansion of 1 in x 2.433 * [backup-simplify]: Simplify 1 into 1 2.433 * [taylor]: Taking taylor expansion of 1 in x 2.433 * [backup-simplify]: Simplify 1 into 1 2.433 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ 1 x))) (sqrt (exp (/ 1 x)))) in x 2.433 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 x))) in x 2.433 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.433 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.433 * [taylor]: Taking taylor expansion of x in x 2.433 * [backup-simplify]: Simplify 0 into 0 2.433 * [backup-simplify]: Simplify 1 into 1 2.433 * [backup-simplify]: Simplify (/ 1 1) into 1 2.433 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.433 * [backup-simplify]: Simplify (sqrt (exp (/ 1 x))) into (sqrt (exp (/ 1 x))) 2.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 x))))) into 0 2.433 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 x))) in x 2.433 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.433 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.433 * [taylor]: Taking taylor expansion of x in x 2.433 * [backup-simplify]: Simplify 0 into 0 2.433 * [backup-simplify]: Simplify 1 into 1 2.434 * [backup-simplify]: Simplify (/ 1 1) into 1 2.434 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.434 * [backup-simplify]: Simplify (sqrt (exp (/ 1 x))) into (sqrt (exp (/ 1 x))) 2.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 x))))) into 0 2.434 * [backup-simplify]: Simplify (* 1 1) into 1 2.434 * [backup-simplify]: Simplify (* (sqrt (exp (/ 1 x))) (sqrt (exp (/ 1 x)))) into (exp (/ 1 x)) 2.434 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) 2.434 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) 2.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.435 * [backup-simplify]: Simplify (+ (* (sqrt (exp (/ 1 x))) 0) (* 0 (sqrt (exp (/ 1 x))))) into 0 2.435 * [backup-simplify]: Simplify (+ 0 0) into 0 2.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 2.435 * [taylor]: Taking taylor expansion of (hypot 1 (sqrt (exp (/ 1 x)))) in x 2.435 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (sqrt (exp (/ 1 x))) (sqrt (exp (/ 1 x)))))) 2.435 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (sqrt (exp (/ 1 x))) (sqrt (exp (/ 1 x))))) in x 2.435 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.435 * [taylor]: Taking taylor expansion of 1 in x 2.435 * [backup-simplify]: Simplify 1 into 1 2.435 * [taylor]: Taking taylor expansion of 1 in x 2.435 * [backup-simplify]: Simplify 1 into 1 2.435 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ 1 x))) (sqrt (exp (/ 1 x)))) in x 2.435 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 x))) in x 2.435 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.435 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.435 * [taylor]: Taking taylor expansion of x in x 2.435 * [backup-simplify]: Simplify 0 into 0 2.435 * [backup-simplify]: Simplify 1 into 1 2.436 * [backup-simplify]: Simplify (/ 1 1) into 1 2.436 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.436 * [backup-simplify]: Simplify (sqrt (exp (/ 1 x))) into (sqrt (exp (/ 1 x))) 2.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 x))))) into 0 2.436 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 x))) in x 2.436 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.436 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.436 * [taylor]: Taking taylor expansion of x in x 2.436 * [backup-simplify]: Simplify 0 into 0 2.436 * [backup-simplify]: Simplify 1 into 1 2.436 * [backup-simplify]: Simplify (/ 1 1) into 1 2.436 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.437 * [backup-simplify]: Simplify (sqrt (exp (/ 1 x))) into (sqrt (exp (/ 1 x))) 2.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 x))))) into 0 2.437 * [backup-simplify]: Simplify (* 1 1) into 1 2.437 * [backup-simplify]: Simplify (* (sqrt (exp (/ 1 x))) (sqrt (exp (/ 1 x)))) into (exp (/ 1 x)) 2.437 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) 2.437 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) 2.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.438 * [backup-simplify]: Simplify (+ (* (sqrt (exp (/ 1 x))) 0) (* 0 (sqrt (exp (/ 1 x))))) into 0 2.438 * [backup-simplify]: Simplify (+ 0 0) into 0 2.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 2.438 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) 2.438 * [backup-simplify]: Simplify 0 into 0 2.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.439 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 x))))) into 0 2.440 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 x))))) into 0 2.440 * [backup-simplify]: Simplify (+ (* (sqrt (exp (/ 1 x))) 0) (+ (* 0 0) (* 0 (sqrt (exp (/ 1 x)))))) into 0 2.440 * [backup-simplify]: Simplify (+ 0 0) into 0 2.441 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 2.441 * [backup-simplify]: Simplify 0 into 0 2.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.442 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 2.442 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 2.443 * [backup-simplify]: Simplify (+ (* (sqrt (exp (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (exp (/ 1 x))))))) into 0 2.443 * [backup-simplify]: Simplify (+ 0 0) into 0 2.444 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 2.444 * [backup-simplify]: Simplify 0 into 0 2.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.445 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 2.446 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 2.446 * [backup-simplify]: Simplify (+ (* (sqrt (exp (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (exp (/ 1 x)))))))) into 0 2.447 * [backup-simplify]: Simplify (+ 0 0) into 0 2.447 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 2.447 * [backup-simplify]: Simplify 0 into 0 2.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.449 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 2.449 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 2.450 * [backup-simplify]: Simplify (+ (* (sqrt (exp (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (exp (/ 1 x))))))))) into 0 2.450 * [backup-simplify]: Simplify (+ 0 0) into 0 2.451 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 2.451 * [backup-simplify]: Simplify 0 into 0 2.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.452 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 2.453 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 2.454 * [backup-simplify]: Simplify (+ (* (sqrt (exp (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (exp (/ 1 x)))))))))) into 0 2.454 * [backup-simplify]: Simplify (+ 0 0) into 0 2.455 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 2.455 * [backup-simplify]: Simplify 0 into 0 2.455 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 (/ 1 x))) 1)) into (sqrt (+ (exp x) 1)) 2.455 * [backup-simplify]: Simplify (hypot 1 (sqrt (exp (/ 1 (- x))))) into (hypot 1 (sqrt (exp (/ -1 x)))) 2.455 * [approximate]: Taking taylor expansion of (hypot 1 (sqrt (exp (/ -1 x)))) in (x) around 0 2.455 * [taylor]: Taking taylor expansion of (hypot 1 (sqrt (exp (/ -1 x)))) in x 2.455 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (sqrt (exp (/ -1 x))) (sqrt (exp (/ -1 x)))))) 2.455 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (sqrt (exp (/ -1 x))) (sqrt (exp (/ -1 x))))) in x 2.455 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.455 * [taylor]: Taking taylor expansion of 1 in x 2.455 * [backup-simplify]: Simplify 1 into 1 2.455 * [taylor]: Taking taylor expansion of 1 in x 2.455 * [backup-simplify]: Simplify 1 into 1 2.456 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ -1 x))) (sqrt (exp (/ -1 x)))) in x 2.456 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 x))) in x 2.456 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.456 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.456 * [taylor]: Taking taylor expansion of -1 in x 2.456 * [backup-simplify]: Simplify -1 into -1 2.456 * [taylor]: Taking taylor expansion of x in x 2.456 * [backup-simplify]: Simplify 0 into 0 2.456 * [backup-simplify]: Simplify 1 into 1 2.456 * [backup-simplify]: Simplify (/ -1 1) into -1 2.456 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.456 * [backup-simplify]: Simplify (sqrt (exp (/ -1 x))) into (sqrt (exp (/ -1 x))) 2.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (/ -1 x))))) into 0 2.456 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 x))) in x 2.456 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.456 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.456 * [taylor]: Taking taylor expansion of -1 in x 2.456 * [backup-simplify]: Simplify -1 into -1 2.456 * [taylor]: Taking taylor expansion of x in x 2.456 * [backup-simplify]: Simplify 0 into 0 2.456 * [backup-simplify]: Simplify 1 into 1 2.456 * [backup-simplify]: Simplify (/ -1 1) into -1 2.457 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.457 * [backup-simplify]: Simplify (sqrt (exp (/ -1 x))) into (sqrt (exp (/ -1 x))) 2.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (/ -1 x))))) into 0 2.457 * [backup-simplify]: Simplify (* 1 1) into 1 2.457 * [backup-simplify]: Simplify (* (sqrt (exp (/ -1 x))) (sqrt (exp (/ -1 x)))) into (exp (/ -1 x)) 2.457 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) 2.457 * [backup-simplify]: Simplify (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) 2.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.458 * [backup-simplify]: Simplify (+ (* (sqrt (exp (/ -1 x))) 0) (* 0 (sqrt (exp (/ -1 x))))) into 0 2.458 * [backup-simplify]: Simplify (+ 0 0) into 0 2.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 2.458 * [taylor]: Taking taylor expansion of (hypot 1 (sqrt (exp (/ -1 x)))) in x 2.458 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (sqrt (exp (/ -1 x))) (sqrt (exp (/ -1 x)))))) 2.458 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (sqrt (exp (/ -1 x))) (sqrt (exp (/ -1 x))))) in x 2.458 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.458 * [taylor]: Taking taylor expansion of 1 in x 2.458 * [backup-simplify]: Simplify 1 into 1 2.458 * [taylor]: Taking taylor expansion of 1 in x 2.458 * [backup-simplify]: Simplify 1 into 1 2.458 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ -1 x))) (sqrt (exp (/ -1 x)))) in x 2.458 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 x))) in x 2.458 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.458 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.458 * [taylor]: Taking taylor expansion of -1 in x 2.458 * [backup-simplify]: Simplify -1 into -1 2.458 * [taylor]: Taking taylor expansion of x in x 2.458 * [backup-simplify]: Simplify 0 into 0 2.458 * [backup-simplify]: Simplify 1 into 1 2.459 * [backup-simplify]: Simplify (/ -1 1) into -1 2.459 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.459 * [backup-simplify]: Simplify (sqrt (exp (/ -1 x))) into (sqrt (exp (/ -1 x))) 2.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (/ -1 x))))) into 0 2.459 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 x))) in x 2.459 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.459 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.459 * [taylor]: Taking taylor expansion of -1 in x 2.459 * [backup-simplify]: Simplify -1 into -1 2.459 * [taylor]: Taking taylor expansion of x in x 2.459 * [backup-simplify]: Simplify 0 into 0 2.459 * [backup-simplify]: Simplify 1 into 1 2.459 * [backup-simplify]: Simplify (/ -1 1) into -1 2.459 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.459 * [backup-simplify]: Simplify (sqrt (exp (/ -1 x))) into (sqrt (exp (/ -1 x))) 2.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (/ -1 x))))) into 0 2.460 * [backup-simplify]: Simplify (* 1 1) into 1 2.460 * [backup-simplify]: Simplify (* (sqrt (exp (/ -1 x))) (sqrt (exp (/ -1 x)))) into (exp (/ -1 x)) 2.460 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) 2.460 * [backup-simplify]: Simplify (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) 2.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.460 * [backup-simplify]: Simplify (+ (* (sqrt (exp (/ -1 x))) 0) (* 0 (sqrt (exp (/ -1 x))))) into 0 2.460 * [backup-simplify]: Simplify (+ 0 0) into 0 2.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 2.461 * [backup-simplify]: Simplify (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) 2.461 * [backup-simplify]: Simplify 0 into 0 2.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.462 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ -1 x))))) into 0 2.462 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ -1 x))))) into 0 2.462 * [backup-simplify]: Simplify (+ (* (sqrt (exp (/ -1 x))) 0) (+ (* 0 0) (* 0 (sqrt (exp (/ -1 x)))))) into 0 2.463 * [backup-simplify]: Simplify (+ 0 0) into 0 2.463 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 2.463 * [backup-simplify]: Simplify 0 into 0 2.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.464 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 2.465 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 2.465 * [backup-simplify]: Simplify (+ (* (sqrt (exp (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (exp (/ -1 x))))))) into 0 2.466 * [backup-simplify]: Simplify (+ 0 0) into 0 2.466 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 2.466 * [backup-simplify]: Simplify 0 into 0 2.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.468 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 2.468 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 2.472 * [backup-simplify]: Simplify (+ (* (sqrt (exp (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (exp (/ -1 x)))))))) into 0 2.473 * [backup-simplify]: Simplify (+ 0 0) into 0 2.473 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 2.473 * [backup-simplify]: Simplify 0 into 0 2.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.475 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 2.475 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 2.476 * [backup-simplify]: Simplify (+ (* (sqrt (exp (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (exp (/ -1 x))))))))) into 0 2.476 * [backup-simplify]: Simplify (+ 0 0) into 0 2.477 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 2.477 * [backup-simplify]: Simplify 0 into 0 2.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.478 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 2.479 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 2.480 * [backup-simplify]: Simplify (+ (* (sqrt (exp (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (exp (/ -1 x)))))))))) into 0 2.480 * [backup-simplify]: Simplify (+ 0 0) into 0 2.481 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 2.481 * [backup-simplify]: Simplify 0 into 0 2.481 * [backup-simplify]: Simplify (sqrt (+ (exp (/ -1 (/ 1 (- x)))) 1)) into (sqrt (+ (exp x) 1)) 2.481 * * * [progress]: simplifying candidates 2.481 * * * * [progress]: [ 1 / 36 ] simplifiying candidate # 2.481 * * * * [progress]: [ 2 / 36 ] simplifiying candidate # 2.481 * * * * [progress]: [ 3 / 36 ] simplifiying candidate # 2.481 * * * * [progress]: [ 4 / 36 ] simplifiying candidate # 2.481 * * * * [progress]: [ 5 / 36 ] simplifiying candidate # 2.481 * * * * [progress]: [ 6 / 36 ] simplifiying candidate # 2.481 * * * * [progress]: [ 7 / 36 ] simplifiying candidate # 2.482 * * * * [progress]: [ 8 / 36 ] simplifiying candidate # 2.482 * * * * [progress]: [ 9 / 36 ] simplifiying candidate # 2.482 * * * * [progress]: [ 10 / 36 ] simplifiying candidate # 2.482 * * * * [progress]: [ 11 / 36 ] simplifiying candidate # 2.482 * * * * [progress]: [ 12 / 36 ] simplifiying candidate # 2.482 * * * * [progress]: [ 13 / 36 ] simplifiying candidate # 2.482 * * * * [progress]: [ 14 / 36 ] simplifiying candidate # 2.482 * * * * [progress]: [ 15 / 36 ] simplifiying candidate # 2.482 * * * * [progress]: [ 16 / 36 ] simplifiying candidate # 2.482 * * * * [progress]: [ 17 / 36 ] simplifiying candidate # 2.482 * * * * [progress]: [ 18 / 36 ] simplifiying candidate # 2.482 * * * * [progress]: [ 19 / 36 ] simplifiying candidate #real (real->posit16 (sqrt (exp x))))))> 2.482 * * * * [progress]: [ 20 / 36 ] simplifiying candidate # 2.482 * * * * [progress]: [ 21 / 36 ] simplifiying candidate # 2.482 * * * * [progress]: [ 22 / 36 ] simplifiying candidate # 2.482 * * * * [progress]: [ 23 / 36 ] simplifiying candidate # 2.482 * * * * [progress]: [ 24 / 36 ] simplifiying candidate # 2.482 * * * * [progress]: [ 25 / 36 ] simplifiying candidate # 2.482 * * * * [progress]: [ 26 / 36 ] simplifiying candidate # 2.482 * * * * [progress]: [ 27 / 36 ] simplifiying candidate # 2.482 * * * * [progress]: [ 28 / 36 ] simplifiying candidate # 2.482 * * * * [progress]: [ 29 / 36 ] simplifiying candidate # 2.482 * * * * [progress]: [ 30 / 36 ] simplifiying candidate #real (real->posit16 (hypot 1 (sqrt (exp x))))))> 2.482 * * * * [progress]: [ 31 / 36 ] simplifiying candidate # 2.482 * * * * [progress]: [ 32 / 36 ] simplifiying candidate # 2.482 * * * * [progress]: [ 33 / 36 ] simplifiying candidate # 2.482 * * * * [progress]: [ 34 / 36 ] simplifiying candidate # 2.482 * * * * [progress]: [ 35 / 36 ] simplifiying candidate # 2.482 * * * * [progress]: [ 36 / 36 ] simplifiying candidate # 2.483 * [simplify]: Simplifying: (expm1 (sqrt (exp x))) (log1p (sqrt (exp x))) (log (sqrt (exp x))) (exp (sqrt (exp x))) (* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x)))) (cbrt (sqrt (exp x))) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x))) (sqrt (* (cbrt (exp x)) (cbrt (exp x)))) (sqrt (cbrt (exp x))) (sqrt (sqrt (exp x))) (sqrt (sqrt (exp x))) (sqrt 1) (sqrt (exp x)) (/ 1 2) (/ (cbrt x) 2) (/ (sqrt x) 2) (/ x 2) (sqrt (sqrt (exp x))) (sqrt (sqrt (exp x))) (real->posit16 (sqrt (exp x))) (expm1 (hypot 1 (sqrt (exp x)))) (log1p (hypot 1 (sqrt (exp x)))) (+ (* 1 1) (* (sqrt (exp x)) (sqrt (exp x)))) (log (hypot 1 (sqrt (exp x)))) (exp (hypot 1 (sqrt (exp x)))) (* (cbrt (hypot 1 (sqrt (exp x)))) (cbrt (hypot 1 (sqrt (exp x))))) (cbrt (hypot 1 (sqrt (exp x)))) (* (* (hypot 1 (sqrt (exp x))) (hypot 1 (sqrt (exp x)))) (hypot 1 (sqrt (exp x)))) (sqrt (hypot 1 (sqrt (exp x)))) (sqrt (hypot 1 (sqrt (exp x)))) (real->posit16 (hypot 1 (sqrt (exp x)))) (+ (* 1/2 x) (+ (* 1/8 (pow x 2)) 1)) (sqrt (exp x)) (sqrt (exp x)) (- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3)))) (sqrt (+ (exp x) 1)) (sqrt (+ (exp x) 1)) 2.483 * * [simplify]: iteration 0: 61 enodes 2.497 * * [simplify]: iteration 1: 104 enodes 2.531 * * [simplify]: iteration 2: 232 enodes 2.635 * * [simplify]: iteration 3: 666 enodes 2.860 * * [simplify]: iteration complete: 2000 enodes 2.860 * * [simplify]: Extracting #0: cost 30 inf + 0 2.861 * * [simplify]: Extracting #1: cost 95 inf + 2 2.863 * * [simplify]: Extracting #2: cost 465 inf + 385 2.870 * * [simplify]: Extracting #3: cost 504 inf + 13499 2.892 * * [simplify]: Extracting #4: cost 235 inf + 55748 2.923 * * [simplify]: Extracting #5: cost 82 inf + 97808 2.958 * * [simplify]: Extracting #6: cost 32 inf + 116440 2.978 * * [simplify]: Extracting #7: cost 0 inf + 129061 3.012 * [simplify]: Simplified to: (expm1 (sqrt (exp x))) (log1p (sqrt (exp x))) (log (sqrt (exp x))) (exp (sqrt (exp x))) (* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x)))) (cbrt (sqrt (exp x))) (* (sqrt (exp x)) (exp x)) (fabs (cbrt (exp x))) (sqrt (cbrt (exp x))) (sqrt (sqrt (exp x))) (sqrt (sqrt (exp x))) 1 (sqrt (exp x)) 1/2 (/ (cbrt x) 2) (/ (sqrt x) 2) (/ x 2) (sqrt (sqrt (exp x))) (sqrt (sqrt (exp x))) (real->posit16 (sqrt (exp x))) (expm1 (sqrt (+ (exp x) 1))) (log1p (sqrt (+ (exp x) 1))) (+ (exp x) 1) (log (sqrt (+ (exp x) 1))) (exp (sqrt (+ (exp x) 1))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (sqrt (+ (exp x) 1))) (* (sqrt (+ (exp x) 1)) (+ (exp x) 1)) (sqrt (sqrt (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1))) (real->posit16 (sqrt (+ (exp x) 1))) (fma 1/2 x (fma (* x x) 1/8 1)) (sqrt (exp x)) (sqrt (exp x)) (+ (fma 1/2 (/ x (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 1/16))) (sqrt 2)) (sqrt (+ (exp x) 1)) (sqrt (+ (exp x) 1)) 3.014 * * * [progress]: adding candidates to table 3.143 * * [progress]: iteration 3 / 4 3.143 * * * [progress]: picking best candidate 3.146 * * * * [pick]: Picked # 3.146 * * * [progress]: localizing error 3.170 * * * [progress]: generating rewritten candidates 3.170 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 3.171 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 3.187 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 3.187 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 3.197 * * * [progress]: generating series expansions 3.197 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 3.197 * [backup-simplify]: Simplify (log1p (sqrt (+ (exp x) 1))) into (log1p (sqrt (+ (exp x) 1))) 3.197 * [approximate]: Taking taylor expansion of (log1p (sqrt (+ (exp x) 1))) in (x) around 0 3.197 * [taylor]: Taking taylor expansion of (log1p (sqrt (+ (exp x) 1))) in x 3.197 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (+ (exp x) 1)))) 3.197 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (+ (exp x) 1))) in x 3.197 * [taylor]: Taking taylor expansion of 1 in x 3.197 * [backup-simplify]: Simplify 1 into 1 3.197 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) 1)) in x 3.197 * [taylor]: Taking taylor expansion of (+ (exp x) 1) in x 3.197 * [taylor]: Taking taylor expansion of (exp x) in x 3.197 * [taylor]: Taking taylor expansion of x in x 3.197 * [backup-simplify]: Simplify 0 into 0 3.197 * [backup-simplify]: Simplify 1 into 1 3.197 * [backup-simplify]: Simplify (exp 0) into 1 3.197 * [taylor]: Taking taylor expansion of 1 in x 3.197 * [backup-simplify]: Simplify 1 into 1 3.198 * [backup-simplify]: Simplify (+ 1 1) into 2 3.198 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 3.199 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 3.199 * [backup-simplify]: Simplify (+ 1 0) into 1 3.200 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) 3.200 * [backup-simplify]: Simplify (+ 1 (sqrt 2)) into (+ (sqrt 2) 1) 3.201 * [backup-simplify]: Simplify (log (+ (sqrt 2) 1)) into (log (+ (sqrt 2) 1)) 3.201 * [taylor]: Taking taylor expansion of (log1p (sqrt (+ (exp x) 1))) in x 3.201 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (+ (exp x) 1)))) 3.201 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (+ (exp x) 1))) in x 3.201 * [taylor]: Taking taylor expansion of 1 in x 3.201 * [backup-simplify]: Simplify 1 into 1 3.201 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) 1)) in x 3.201 * [taylor]: Taking taylor expansion of (+ (exp x) 1) in x 3.201 * [taylor]: Taking taylor expansion of (exp x) in x 3.201 * [taylor]: Taking taylor expansion of x in x 3.202 * [backup-simplify]: Simplify 0 into 0 3.202 * [backup-simplify]: Simplify 1 into 1 3.202 * [backup-simplify]: Simplify (exp 0) into 1 3.202 * [taylor]: Taking taylor expansion of 1 in x 3.202 * [backup-simplify]: Simplify 1 into 1 3.202 * [backup-simplify]: Simplify (+ 1 1) into 2 3.202 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 3.203 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 3.203 * [backup-simplify]: Simplify (+ 1 0) into 1 3.204 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) 3.204 * [backup-simplify]: Simplify (+ 1 (sqrt 2)) into (+ (sqrt 2) 1) 3.205 * [backup-simplify]: Simplify (log (+ (sqrt 2) 1)) into (log (+ (sqrt 2) 1)) 3.206 * [backup-simplify]: Simplify (log (+ (sqrt 2) 1)) into (log (+ (sqrt 2) 1)) 3.208 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (sqrt 2))) into (* 1/2 (/ 1 (sqrt 2))) 3.215 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (/ 1 (sqrt 2)))) 1)) (pow (+ (sqrt 2) 1) 1)))) 1) into (/ 1/2 (* (sqrt 2) (+ (sqrt 2) 1))) 3.217 * [backup-simplify]: Simplify (/ 1/2 (* (sqrt 2) (+ (sqrt 2) 1))) into (/ 1/2 (* (sqrt 2) (+ (sqrt 2) 1))) 3.219 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 3.219 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.224 * [backup-simplify]: Simplify (/ (- 1/2 (pow (/ 1/2 (sqrt 2)) 2) (+)) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) 3.230 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2)))) into (- (* 1/4 (/ 1 (sqrt 2))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) 3.252 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (/ 1 (sqrt 2)))) 2)) (pow (+ (sqrt 2) 1) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/4 (/ 1 (sqrt 2))) (* 1/8 (/ 1 (pow (sqrt 2) 3))))) 1)) (pow (+ (sqrt 2) 1) 1)))) 2) into (* 1/2 (- (* 1/2 (/ 1 (* (sqrt 2) (+ (sqrt 2) 1)))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 2) 1) 2) (pow (sqrt 2) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 2) 3) (+ (sqrt 2) 1))))))) 3.268 * [backup-simplify]: Simplify (* 1/2 (- (* 1/2 (/ 1 (* (sqrt 2) (+ (sqrt 2) 1)))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 2) 1) 2) (pow (sqrt 2) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 2) 3) (+ (sqrt 2) 1))))))) into (* 1/2 (- (* 1/2 (/ 1 (* (sqrt 2) (+ (sqrt 2) 1)))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 2) 1) 2) (pow (sqrt 2) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 2) 3) (+ (sqrt 2) 1))))))) 3.285 * [backup-simplify]: Simplify (+ (* (* 1/2 (- (* 1/2 (/ 1 (* (sqrt 2) (+ (sqrt 2) 1)))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 2) 1) 2) (pow (sqrt 2) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 2) 3) (+ (sqrt 2) 1))))))) (pow x 2)) (+ (* (/ 1/2 (* (sqrt 2) (+ (sqrt 2) 1))) x) (log (+ (sqrt 2) 1)))) into (- (+ (* 1/4 (/ (pow x 2) (* (sqrt 2) (+ (sqrt 2) 1)))) (+ (log (+ (sqrt 2) 1)) (* 1/2 (/ x (* (+ (sqrt 2) 1) (sqrt 2)))))) (+ (* 1/8 (/ (pow x 2) (* (pow (sqrt 2) 3) (+ (sqrt 2) 1)))) (* 1/8 (/ (pow x 2) (* (pow (+ (sqrt 2) 1) 2) (pow (sqrt 2) 2)))))) 3.285 * [backup-simplify]: Simplify (log1p (sqrt (+ (exp (/ 1 x)) 1))) into (log1p (sqrt (+ (exp (/ 1 x)) 1))) 3.285 * [approximate]: Taking taylor expansion of (log1p (sqrt (+ (exp (/ 1 x)) 1))) in (x) around 0 3.285 * [taylor]: Taking taylor expansion of (log1p (sqrt (+ (exp (/ 1 x)) 1))) in x 3.285 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (+ (exp (/ 1 x)) 1)))) 3.285 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (+ (exp (/ 1 x)) 1))) in x 3.285 * [taylor]: Taking taylor expansion of 1 in x 3.285 * [backup-simplify]: Simplify 1 into 1 3.285 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) 1)) in x 3.285 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x 3.285 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.285 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.285 * [taylor]: Taking taylor expansion of x in x 3.285 * [backup-simplify]: Simplify 0 into 0 3.285 * [backup-simplify]: Simplify 1 into 1 3.286 * [backup-simplify]: Simplify (/ 1 1) into 1 3.286 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 3.286 * [taylor]: Taking taylor expansion of 1 in x 3.286 * [backup-simplify]: Simplify 1 into 1 3.286 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) 3.286 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) 3.286 * [backup-simplify]: Simplify (+ 0 0) into 0 3.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 3.286 * [backup-simplify]: Simplify (+ 1 (sqrt (+ (exp (/ 1 x)) 1))) into (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 3.286 * [backup-simplify]: Simplify (log (+ (sqrt (+ (exp (/ 1 x)) 1)) 1)) into (log (+ (sqrt (+ (exp (/ 1 x)) 1)) 1)) 3.286 * [taylor]: Taking taylor expansion of (log1p (sqrt (+ (exp (/ 1 x)) 1))) in x 3.286 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (+ (exp (/ 1 x)) 1)))) 3.286 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (+ (exp (/ 1 x)) 1))) in x 3.286 * [taylor]: Taking taylor expansion of 1 in x 3.286 * [backup-simplify]: Simplify 1 into 1 3.286 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) 1)) in x 3.286 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x 3.286 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.286 * [taylor]: Taking taylor expansion of x in x 3.286 * [backup-simplify]: Simplify 0 into 0 3.287 * [backup-simplify]: Simplify 1 into 1 3.287 * [backup-simplify]: Simplify (/ 1 1) into 1 3.287 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 3.287 * [taylor]: Taking taylor expansion of 1 in x 3.287 * [backup-simplify]: Simplify 1 into 1 3.287 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) 3.287 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) 3.287 * [backup-simplify]: Simplify (+ 0 0) into 0 3.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 3.287 * [backup-simplify]: Simplify (+ 1 (sqrt (+ (exp (/ 1 x)) 1))) into (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 3.287 * [backup-simplify]: Simplify (log (+ (sqrt (+ (exp (/ 1 x)) 1)) 1)) into (log (+ (sqrt (+ (exp (/ 1 x)) 1)) 1)) 3.288 * [backup-simplify]: Simplify (log (+ (sqrt (+ (exp (/ 1 x)) 1)) 1)) into (log (+ (sqrt (+ (exp (/ 1 x)) 1)) 1)) 3.288 * [backup-simplify]: Simplify (+ 0 0) into 0 3.288 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 1)))) 1) into 0 3.288 * [backup-simplify]: Simplify 0 into 0 3.289 * [backup-simplify]: Simplify (+ 0 0) into 0 3.289 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 3.289 * [backup-simplify]: Simplify (+ 0 0) into 0 3.290 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 1)))) 2) into 0 3.290 * [backup-simplify]: Simplify 0 into 0 3.291 * [backup-simplify]: Simplify (+ 0 0) into 0 3.291 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 3.292 * [backup-simplify]: Simplify (+ 0 0) into 0 3.293 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 1)))) 6) into 0 3.293 * [backup-simplify]: Simplify 0 into 0 3.294 * [backup-simplify]: Simplify (+ 0 0) into 0 3.294 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 3.295 * [backup-simplify]: Simplify (+ 0 0) into 0 3.298 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 1)))) 24) into 0 3.298 * [backup-simplify]: Simplify 0 into 0 3.298 * [backup-simplify]: Simplify (+ 0 0) into 0 3.299 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 3.299 * [backup-simplify]: Simplify (+ 0 0) into 0 3.303 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 1)))) 120) into 0 3.304 * [backup-simplify]: Simplify 0 into 0 3.304 * [backup-simplify]: Simplify (+ 0 0) into 0 3.304 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 3.305 * [backup-simplify]: Simplify (+ 0 0) into 0 3.312 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 1)))) 720) into 0 3.312 * [backup-simplify]: Simplify 0 into 0 3.312 * [backup-simplify]: Simplify (log (+ (sqrt (+ (exp (/ 1 (/ 1 x))) 1)) 1)) into (log (+ 1 (sqrt (+ (exp x) 1)))) 3.312 * [backup-simplify]: Simplify (log1p (sqrt (+ (exp (/ 1 (- x))) 1))) into (log1p (sqrt (+ (exp (/ -1 x)) 1))) 3.312 * [approximate]: Taking taylor expansion of (log1p (sqrt (+ (exp (/ -1 x)) 1))) in (x) around 0 3.312 * [taylor]: Taking taylor expansion of (log1p (sqrt (+ (exp (/ -1 x)) 1))) in x 3.312 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (+ (exp (/ -1 x)) 1)))) 3.312 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (+ (exp (/ -1 x)) 1))) in x 3.312 * [taylor]: Taking taylor expansion of 1 in x 3.312 * [backup-simplify]: Simplify 1 into 1 3.312 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 x)) 1)) in x 3.312 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in x 3.312 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 3.312 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.312 * [taylor]: Taking taylor expansion of -1 in x 3.312 * [backup-simplify]: Simplify -1 into -1 3.312 * [taylor]: Taking taylor expansion of x in x 3.312 * [backup-simplify]: Simplify 0 into 0 3.312 * [backup-simplify]: Simplify 1 into 1 3.313 * [backup-simplify]: Simplify (/ -1 1) into -1 3.313 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 3.313 * [taylor]: Taking taylor expansion of 1 in x 3.313 * [backup-simplify]: Simplify 1 into 1 3.313 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) 3.313 * [backup-simplify]: Simplify (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) 3.313 * [backup-simplify]: Simplify (+ 0 0) into 0 3.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 3.313 * [backup-simplify]: Simplify (+ 1 (sqrt (+ (exp (/ -1 x)) 1))) into (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 3.313 * [backup-simplify]: Simplify (log (+ (sqrt (+ (exp (/ -1 x)) 1)) 1)) into (log (+ (sqrt (+ (exp (/ -1 x)) 1)) 1)) 3.313 * [taylor]: Taking taylor expansion of (log1p (sqrt (+ (exp (/ -1 x)) 1))) in x 3.313 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (+ (exp (/ -1 x)) 1)))) 3.313 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (+ (exp (/ -1 x)) 1))) in x 3.313 * [taylor]: Taking taylor expansion of 1 in x 3.313 * [backup-simplify]: Simplify 1 into 1 3.313 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 x)) 1)) in x 3.313 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in x 3.313 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 3.313 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.313 * [taylor]: Taking taylor expansion of -1 in x 3.313 * [backup-simplify]: Simplify -1 into -1 3.313 * [taylor]: Taking taylor expansion of x in x 3.313 * [backup-simplify]: Simplify 0 into 0 3.313 * [backup-simplify]: Simplify 1 into 1 3.314 * [backup-simplify]: Simplify (/ -1 1) into -1 3.314 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 3.314 * [taylor]: Taking taylor expansion of 1 in x 3.314 * [backup-simplify]: Simplify 1 into 1 3.314 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) 3.314 * [backup-simplify]: Simplify (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) 3.314 * [backup-simplify]: Simplify (+ 0 0) into 0 3.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 3.314 * [backup-simplify]: Simplify (+ 1 (sqrt (+ (exp (/ -1 x)) 1))) into (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 3.314 * [backup-simplify]: Simplify (log (+ (sqrt (+ (exp (/ -1 x)) 1)) 1)) into (log (+ (sqrt (+ (exp (/ -1 x)) 1)) 1)) 3.315 * [backup-simplify]: Simplify (log (+ (sqrt (+ (exp (/ -1 x)) 1)) 1)) into (log (+ (sqrt (+ (exp (/ -1 x)) 1)) 1)) 3.315 * [backup-simplify]: Simplify (+ 0 0) into 0 3.315 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 1)))) 1) into 0 3.315 * [backup-simplify]: Simplify 0 into 0 3.316 * [backup-simplify]: Simplify (+ 0 0) into 0 3.316 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 3.316 * [backup-simplify]: Simplify (+ 0 0) into 0 3.317 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 1)))) 2) into 0 3.317 * [backup-simplify]: Simplify 0 into 0 3.318 * [backup-simplify]: Simplify (+ 0 0) into 0 3.318 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 3.318 * [backup-simplify]: Simplify (+ 0 0) into 0 3.320 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 1)))) 6) into 0 3.320 * [backup-simplify]: Simplify 0 into 0 3.320 * [backup-simplify]: Simplify (+ 0 0) into 0 3.321 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 3.321 * [backup-simplify]: Simplify (+ 0 0) into 0 3.324 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 1)))) 24) into 0 3.324 * [backup-simplify]: Simplify 0 into 0 3.324 * [backup-simplify]: Simplify (+ 0 0) into 0 3.325 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 3.325 * [backup-simplify]: Simplify (+ 0 0) into 0 3.330 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 1)))) 120) into 0 3.330 * [backup-simplify]: Simplify 0 into 0 3.331 * [backup-simplify]: Simplify (+ 0 0) into 0 3.331 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 3.331 * [backup-simplify]: Simplify (+ 0 0) into 0 3.339 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 1)))) 720) into 0 3.339 * [backup-simplify]: Simplify 0 into 0 3.339 * [backup-simplify]: Simplify (log (+ (sqrt (+ (exp (/ -1 (/ 1 (- x)))) 1)) 1)) into (log (+ 1 (sqrt (+ (exp x) 1)))) 3.339 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 3.339 * [backup-simplify]: Simplify (+ (exp x) 1) into (+ (exp x) 1) 3.339 * [approximate]: Taking taylor expansion of (+ (exp x) 1) in (x) around 0 3.339 * [taylor]: Taking taylor expansion of (+ (exp x) 1) in x 3.339 * [taylor]: Taking taylor expansion of (exp x) in x 3.339 * [taylor]: Taking taylor expansion of x in x 3.339 * [backup-simplify]: Simplify 0 into 0 3.339 * [backup-simplify]: Simplify 1 into 1 3.339 * [backup-simplify]: Simplify (exp 0) into 1 3.339 * [taylor]: Taking taylor expansion of 1 in x 3.339 * [backup-simplify]: Simplify 1 into 1 3.340 * [taylor]: Taking taylor expansion of (+ (exp x) 1) in x 3.340 * [taylor]: Taking taylor expansion of (exp x) in x 3.340 * [taylor]: Taking taylor expansion of x in x 3.340 * [backup-simplify]: Simplify 0 into 0 3.340 * [backup-simplify]: Simplify 1 into 1 3.340 * [backup-simplify]: Simplify (exp 0) into 1 3.340 * [taylor]: Taking taylor expansion of 1 in x 3.340 * [backup-simplify]: Simplify 1 into 1 3.340 * [backup-simplify]: Simplify (+ 1 1) into 2 3.340 * [backup-simplify]: Simplify 2 into 2 3.341 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 3.341 * [backup-simplify]: Simplify (+ 1 0) into 1 3.341 * [backup-simplify]: Simplify 1 into 1 3.342 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 3.342 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.342 * [backup-simplify]: Simplify 1/2 into 1/2 3.343 * [backup-simplify]: Simplify (+ (* 1/2 (pow x 2)) (+ (* 1 x) 2)) into (+ x (+ (* 1/2 (pow x 2)) 2)) 3.343 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) 3.343 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in (x) around 0 3.343 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x 3.343 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.343 * [taylor]: Taking taylor expansion of x in x 3.343 * [backup-simplify]: Simplify 0 into 0 3.343 * [backup-simplify]: Simplify 1 into 1 3.343 * [backup-simplify]: Simplify (/ 1 1) into 1 3.343 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 3.343 * [taylor]: Taking taylor expansion of 1 in x 3.343 * [backup-simplify]: Simplify 1 into 1 3.343 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x 3.343 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.343 * [taylor]: Taking taylor expansion of x in x 3.343 * [backup-simplify]: Simplify 0 into 0 3.343 * [backup-simplify]: Simplify 1 into 1 3.343 * [backup-simplify]: Simplify (/ 1 1) into 1 3.343 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 3.344 * [taylor]: Taking taylor expansion of 1 in x 3.344 * [backup-simplify]: Simplify 1 into 1 3.344 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) 3.344 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) 3.344 * [backup-simplify]: Simplify (+ 0 0) into 0 3.344 * [backup-simplify]: Simplify 0 into 0 3.344 * [backup-simplify]: Simplify (+ 0 0) into 0 3.344 * [backup-simplify]: Simplify 0 into 0 3.345 * [backup-simplify]: Simplify (+ 0 0) into 0 3.345 * [backup-simplify]: Simplify 0 into 0 3.345 * [backup-simplify]: Simplify (+ 0 0) into 0 3.345 * [backup-simplify]: Simplify 0 into 0 3.345 * [backup-simplify]: Simplify (+ 0 0) into 0 3.345 * [backup-simplify]: Simplify 0 into 0 3.345 * [backup-simplify]: Simplify (+ 0 0) into 0 3.345 * [backup-simplify]: Simplify 0 into 0 3.345 * [backup-simplify]: Simplify (+ (exp (/ 1 (/ 1 x))) 1) into (+ (exp x) 1) 3.346 * [backup-simplify]: Simplify (+ (exp (/ 1 (- x))) 1) into (+ (exp (/ -1 x)) 1) 3.346 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in (x) around 0 3.346 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in x 3.346 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 3.346 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.346 * [taylor]: Taking taylor expansion of -1 in x 3.346 * [backup-simplify]: Simplify -1 into -1 3.346 * [taylor]: Taking taylor expansion of x in x 3.346 * [backup-simplify]: Simplify 0 into 0 3.346 * [backup-simplify]: Simplify 1 into 1 3.348 * [backup-simplify]: Simplify (/ -1 1) into -1 3.348 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 3.348 * [taylor]: Taking taylor expansion of 1 in x 3.348 * [backup-simplify]: Simplify 1 into 1 3.348 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in x 3.348 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 3.348 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.348 * [taylor]: Taking taylor expansion of -1 in x 3.348 * [backup-simplify]: Simplify -1 into -1 3.348 * [taylor]: Taking taylor expansion of x in x 3.348 * [backup-simplify]: Simplify 0 into 0 3.348 * [backup-simplify]: Simplify 1 into 1 3.348 * [backup-simplify]: Simplify (/ -1 1) into -1 3.348 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 3.349 * [taylor]: Taking taylor expansion of 1 in x 3.349 * [backup-simplify]: Simplify 1 into 1 3.349 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) 3.349 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) 3.349 * [backup-simplify]: Simplify (+ 0 0) into 0 3.349 * [backup-simplify]: Simplify 0 into 0 3.349 * [backup-simplify]: Simplify (+ 0 0) into 0 3.349 * [backup-simplify]: Simplify 0 into 0 3.350 * [backup-simplify]: Simplify (+ 0 0) into 0 3.350 * [backup-simplify]: Simplify 0 into 0 3.350 * [backup-simplify]: Simplify (+ 0 0) into 0 3.350 * [backup-simplify]: Simplify 0 into 0 3.351 * [backup-simplify]: Simplify (+ 0 0) into 0 3.351 * [backup-simplify]: Simplify 0 into 0 3.351 * [backup-simplify]: Simplify (+ 0 0) into 0 3.351 * [backup-simplify]: Simplify 0 into 0 3.351 * [backup-simplify]: Simplify (+ (exp (/ -1 (/ 1 (- x)))) 1) into (+ (exp x) 1) 3.351 * * * * [progress]: [ 3 / 4 ] generating series at (2) 3.352 * [backup-simplify]: Simplify (expm1 (log1p (sqrt (+ (exp x) 1)))) into (expm1 (log1p (sqrt (+ (exp x) 1)))) 3.352 * [approximate]: Taking taylor expansion of (expm1 (log1p (sqrt (+ (exp x) 1)))) in (x) around 0 3.352 * [taylor]: Taking taylor expansion of (expm1 (log1p (sqrt (+ (exp x) 1)))) in x 3.352 * [taylor]: Rewrote expression to (- (exp (log1p (sqrt (+ (exp x) 1)))) 1) 3.352 * [taylor]: Taking taylor expansion of (exp (log1p (sqrt (+ (exp x) 1)))) in x 3.352 * [taylor]: Taking taylor expansion of (log1p (sqrt (+ (exp x) 1))) in x 3.352 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (+ (exp x) 1)))) 3.352 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (+ (exp x) 1))) in x 3.352 * [taylor]: Taking taylor expansion of 1 in x 3.352 * [backup-simplify]: Simplify 1 into 1 3.352 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) 1)) in x 3.352 * [taylor]: Taking taylor expansion of (+ (exp x) 1) in x 3.352 * [taylor]: Taking taylor expansion of (exp x) in x 3.352 * [taylor]: Taking taylor expansion of x in x 3.352 * [backup-simplify]: Simplify 0 into 0 3.352 * [backup-simplify]: Simplify 1 into 1 3.352 * [backup-simplify]: Simplify (exp 0) into 1 3.352 * [taylor]: Taking taylor expansion of 1 in x 3.352 * [backup-simplify]: Simplify 1 into 1 3.353 * [backup-simplify]: Simplify (+ 1 1) into 2 3.353 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 3.354 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 3.355 * [backup-simplify]: Simplify (+ 1 0) into 1 3.357 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) 3.358 * [backup-simplify]: Simplify (+ 1 (sqrt 2)) into (+ (sqrt 2) 1) 3.359 * [backup-simplify]: Simplify (log (+ (sqrt 2) 1)) into (log (+ (sqrt 2) 1)) 3.361 * [backup-simplify]: Simplify (exp (log (+ (sqrt 2) 1))) into (+ (sqrt 2) 1) 3.362 * [taylor]: Taking taylor expansion of 1 in x 3.362 * [backup-simplify]: Simplify 1 into 1 3.362 * [taylor]: Taking taylor expansion of (expm1 (log1p (sqrt (+ (exp x) 1)))) in x 3.362 * [taylor]: Rewrote expression to (- (exp (log1p (sqrt (+ (exp x) 1)))) 1) 3.362 * [taylor]: Taking taylor expansion of (exp (log1p (sqrt (+ (exp x) 1)))) in x 3.362 * [taylor]: Taking taylor expansion of (log1p (sqrt (+ (exp x) 1))) in x 3.362 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (+ (exp x) 1)))) 3.362 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (+ (exp x) 1))) in x 3.362 * [taylor]: Taking taylor expansion of 1 in x 3.362 * [backup-simplify]: Simplify 1 into 1 3.362 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) 1)) in x 3.362 * [taylor]: Taking taylor expansion of (+ (exp x) 1) in x 3.362 * [taylor]: Taking taylor expansion of (exp x) in x 3.362 * [taylor]: Taking taylor expansion of x in x 3.362 * [backup-simplify]: Simplify 0 into 0 3.362 * [backup-simplify]: Simplify 1 into 1 3.362 * [backup-simplify]: Simplify (exp 0) into 1 3.362 * [taylor]: Taking taylor expansion of 1 in x 3.362 * [backup-simplify]: Simplify 1 into 1 3.363 * [backup-simplify]: Simplify (+ 1 1) into 2 3.363 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 3.364 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 3.364 * [backup-simplify]: Simplify (+ 1 0) into 1 3.366 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) 3.367 * [backup-simplify]: Simplify (+ 1 (sqrt 2)) into (+ (sqrt 2) 1) 3.368 * [backup-simplify]: Simplify (log (+ (sqrt 2) 1)) into (log (+ (sqrt 2) 1)) 3.371 * [backup-simplify]: Simplify (exp (log (+ (sqrt 2) 1))) into (+ (sqrt 2) 1) 3.371 * [taylor]: Taking taylor expansion of 1 in x 3.371 * [backup-simplify]: Simplify 1 into 1 3.371 * [backup-simplify]: Simplify (- 1) into -1 3.373 * [backup-simplify]: Simplify (+ (+ (sqrt 2) 1) -1) into (sqrt 2) 3.373 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 3.375 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (sqrt 2))) into (* 1/2 (/ 1 (sqrt 2))) 3.389 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (/ 1 (sqrt 2)))) 1)) (pow (+ (sqrt 2) 1) 1)))) 1) into (/ 1/2 (* (sqrt 2) (+ (sqrt 2) 1))) 3.402 * [backup-simplify]: Simplify (* (exp (log (+ (sqrt 2) 1))) (+ (* (/ (pow (/ 1/2 (* (sqrt 2) (+ (sqrt 2) 1))) 1) 1)))) into (/ 1/2 (sqrt 2)) 3.402 * [backup-simplify]: Simplify (- 0) into 0 3.404 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 2)) 0) into (* 1/2 (/ 1 (sqrt 2))) 3.407 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt 2))) into (/ 1/2 (sqrt 2)) 3.408 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 3.409 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.414 * [backup-simplify]: Simplify (/ (- 1/2 (pow (/ 1/2 (sqrt 2)) 2) (+)) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) 3.423 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2)))) into (- (* 1/4 (/ 1 (sqrt 2))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) 3.463 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (/ 1 (sqrt 2)))) 2)) (pow (+ (sqrt 2) 1) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/4 (/ 1 (sqrt 2))) (* 1/8 (/ 1 (pow (sqrt 2) 3))))) 1)) (pow (+ (sqrt 2) 1) 1)))) 2) into (* 1/2 (- (* 1/2 (/ 1 (* (sqrt 2) (+ (sqrt 2) 1)))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 2) 1) 2) (pow (sqrt 2) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 2) 3) (+ (sqrt 2) 1))))))) 3.497 * [backup-simplify]: Simplify (* (exp (log (+ (sqrt 2) 1))) (+ (* (/ (pow (/ 1/2 (* (sqrt 2) (+ (sqrt 2) 1))) 2) 2)) (* (/ (pow (* 1/2 (- (* 1/2 (/ 1 (* (sqrt 2) (+ (sqrt 2) 1)))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 2) 1) 2) (pow (sqrt 2) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 2) 3) (+ (sqrt 2) 1))))))) 1) 1)))) into (* (- (+ (* 1/8 (/ 1 (* (pow (+ (sqrt 2) 1) 2) (pow (sqrt 2) 2)))) (* 1/4 (/ 1 (* (+ (sqrt 2) 1) (sqrt 2))))) (+ (* 1/8 (/ 1 (* (pow (sqrt 2) 2) (pow (+ (sqrt 2) 1) 2)))) (* 1/8 (/ 1 (* (+ (sqrt 2) 1) (pow (sqrt 2) 3)))))) (+ (sqrt 2) 1)) 3.497 * [backup-simplify]: Simplify (- 0) into 0 3.520 * [backup-simplify]: Simplify (+ (* (- (+ (* 1/8 (/ 1 (* (pow (+ (sqrt 2) 1) 2) (pow (sqrt 2) 2)))) (* 1/4 (/ 1 (* (+ (sqrt 2) 1) (sqrt 2))))) (+ (* 1/8 (/ 1 (* (pow (sqrt 2) 2) (pow (+ (sqrt 2) 1) 2)))) (* 1/8 (/ 1 (* (+ (sqrt 2) 1) (pow (sqrt 2) 3)))))) (+ (sqrt 2) 1)) 0) into (- (+ (* 1/4 (/ 1 (* (sqrt 2) (+ (sqrt 2) 1)))) (+ (* 1/8 (/ 1 (* (pow (sqrt 2) 2) (pow (+ (sqrt 2) 1) 2)))) (* 1/4 (/ 1 (+ (sqrt 2) 1))))) (+ (* 1/8 (/ 1 (* (pow (sqrt 2) 3) (+ (sqrt 2) 1)))) (+ (* 1/8 (/ 1 (* (pow (+ (sqrt 2) 1) 2) (pow (sqrt 2) 2)))) (* 1/8 (/ 1 (* (+ (sqrt 2) 1) (pow (sqrt 2) 2))))))) 3.551 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 1 (* (sqrt 2) (+ (sqrt 2) 1)))) (+ (* 1/8 (/ 1 (* (pow (sqrt 2) 2) (pow (+ (sqrt 2) 1) 2)))) (* 1/4 (/ 1 (+ (sqrt 2) 1))))) (+ (* 1/8 (/ 1 (* (pow (sqrt 2) 3) (+ (sqrt 2) 1)))) (+ (* 1/8 (/ 1 (* (pow (+ (sqrt 2) 1) 2) (pow (sqrt 2) 2)))) (* 1/8 (/ 1 (* (+ (sqrt 2) 1) (pow (sqrt 2) 2))))))) into (- (+ (* 1/4 (/ 1 (* (sqrt 2) (+ (sqrt 2) 1)))) (+ (* 1/8 (/ 1 (* (pow (sqrt 2) 2) (pow (+ (sqrt 2) 1) 2)))) (* 1/4 (/ 1 (+ (sqrt 2) 1))))) (+ (* 1/8 (/ 1 (* (pow (+ (sqrt 2) 1) 2) (pow (sqrt 2) 2)))) (+ (* 1/8 (/ 1 (* (pow (sqrt 2) 3) (+ (sqrt 2) 1)))) (* 1/8 (/ 1 (* (+ (sqrt 2) 1) (pow (sqrt 2) 2))))))) 3.598 * [backup-simplify]: Simplify (+ (* (- (+ (* 1/4 (/ 1 (* (sqrt 2) (+ (sqrt 2) 1)))) (+ (* 1/8 (/ 1 (* (pow (sqrt 2) 2) (pow (+ (sqrt 2) 1) 2)))) (* 1/4 (/ 1 (+ (sqrt 2) 1))))) (+ (* 1/8 (/ 1 (* (pow (+ (sqrt 2) 1) 2) (pow (sqrt 2) 2)))) (+ (* 1/8 (/ 1 (* (pow (sqrt 2) 3) (+ (sqrt 2) 1)))) (* 1/8 (/ 1 (* (+ (sqrt 2) 1) (pow (sqrt 2) 2))))))) (pow x 2)) (+ (* (/ 1/2 (sqrt 2)) x) (sqrt 2))) into (- (+ (sqrt 2) (+ (* 1/2 (/ x (sqrt 2))) (+ (* 1/8 (/ (pow x 2) (* (pow (+ (sqrt 2) 1) 2) (pow (sqrt 2) 2)))) (+ (* 1/4 (/ (pow x 2) (* (+ (sqrt 2) 1) (sqrt 2)))) (* 1/4 (/ (pow x 2) (+ (sqrt 2) 1))))))) (+ (* 1/8 (/ (pow x 2) (* (+ (sqrt 2) 1) (pow (sqrt 2) 3)))) (+ (* 1/8 (/ (pow x 2) (* (pow (sqrt 2) 2) (pow (+ (sqrt 2) 1) 2)))) (* 1/8 (/ (pow x 2) (* (pow (sqrt 2) 2) (+ (sqrt 2) 1))))))) 3.598 * [backup-simplify]: Simplify (expm1 (log1p (sqrt (+ (exp (/ 1 x)) 1)))) into (expm1 (log1p (sqrt (+ (exp (/ 1 x)) 1)))) 3.598 * [approximate]: Taking taylor expansion of (expm1 (log1p (sqrt (+ (exp (/ 1 x)) 1)))) in (x) around 0 3.598 * [taylor]: Taking taylor expansion of (expm1 (log1p (sqrt (+ (exp (/ 1 x)) 1)))) in x 3.598 * [taylor]: Rewrote expression to (- (exp (log1p (sqrt (+ (exp (/ 1 x)) 1)))) 1) 3.599 * [taylor]: Taking taylor expansion of (exp (log1p (sqrt (+ (exp (/ 1 x)) 1)))) in x 3.599 * [taylor]: Taking taylor expansion of (log1p (sqrt (+ (exp (/ 1 x)) 1))) in x 3.599 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (+ (exp (/ 1 x)) 1)))) 3.599 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (+ (exp (/ 1 x)) 1))) in x 3.599 * [taylor]: Taking taylor expansion of 1 in x 3.599 * [backup-simplify]: Simplify 1 into 1 3.599 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) 1)) in x 3.599 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x 3.599 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.599 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.599 * [taylor]: Taking taylor expansion of x in x 3.599 * [backup-simplify]: Simplify 0 into 0 3.599 * [backup-simplify]: Simplify 1 into 1 3.599 * [backup-simplify]: Simplify (/ 1 1) into 1 3.600 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 3.600 * [taylor]: Taking taylor expansion of 1 in x 3.600 * [backup-simplify]: Simplify 1 into 1 3.600 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) 3.600 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) 3.600 * [backup-simplify]: Simplify (+ 0 0) into 0 3.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 3.601 * [backup-simplify]: Simplify (+ 1 (sqrt (+ (exp (/ 1 x)) 1))) into (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 3.601 * [backup-simplify]: Simplify (log (+ (sqrt (+ (exp (/ 1 x)) 1)) 1)) into (log (+ (sqrt (+ (exp (/ 1 x)) 1)) 1)) 3.601 * [backup-simplify]: Simplify (exp (log (+ (sqrt (+ (exp (/ 1 x)) 1)) 1))) into (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 3.601 * [taylor]: Taking taylor expansion of 1 in x 3.601 * [backup-simplify]: Simplify 1 into 1 3.601 * [taylor]: Taking taylor expansion of (expm1 (log1p (sqrt (+ (exp (/ 1 x)) 1)))) in x 3.601 * [taylor]: Rewrote expression to (- (exp (log1p (sqrt (+ (exp (/ 1 x)) 1)))) 1) 3.601 * [taylor]: Taking taylor expansion of (exp (log1p (sqrt (+ (exp (/ 1 x)) 1)))) in x 3.601 * [taylor]: Taking taylor expansion of (log1p (sqrt (+ (exp (/ 1 x)) 1))) in x 3.601 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (+ (exp (/ 1 x)) 1)))) 3.601 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (+ (exp (/ 1 x)) 1))) in x 3.601 * [taylor]: Taking taylor expansion of 1 in x 3.601 * [backup-simplify]: Simplify 1 into 1 3.601 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) 1)) in x 3.601 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x 3.601 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.601 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.601 * [taylor]: Taking taylor expansion of x in x 3.601 * [backup-simplify]: Simplify 0 into 0 3.601 * [backup-simplify]: Simplify 1 into 1 3.602 * [backup-simplify]: Simplify (/ 1 1) into 1 3.602 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 3.602 * [taylor]: Taking taylor expansion of 1 in x 3.602 * [backup-simplify]: Simplify 1 into 1 3.602 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) 3.602 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) 3.602 * [backup-simplify]: Simplify (+ 0 0) into 0 3.603 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 3.603 * [backup-simplify]: Simplify (+ 1 (sqrt (+ (exp (/ 1 x)) 1))) into (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 3.603 * [backup-simplify]: Simplify (log (+ (sqrt (+ (exp (/ 1 x)) 1)) 1)) into (log (+ (sqrt (+ (exp (/ 1 x)) 1)) 1)) 3.603 * [backup-simplify]: Simplify (exp (log (+ (sqrt (+ (exp (/ 1 x)) 1)) 1))) into (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 3.603 * [taylor]: Taking taylor expansion of 1 in x 3.603 * [backup-simplify]: Simplify 1 into 1 3.604 * [backup-simplify]: Simplify (- 1) into -1 3.604 * [backup-simplify]: Simplify (+ (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) -1) into (sqrt (+ (exp (/ 1 x)) 1)) 3.604 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) 3.604 * [backup-simplify]: Simplify (+ 0 0) into 0 3.605 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 1)))) 1) into 0 3.606 * [backup-simplify]: Simplify (* (exp (log (+ (sqrt (+ (exp (/ 1 x)) 1)) 1))) (+ (* (/ (pow 0 1) 1)))) into 0 3.606 * [backup-simplify]: Simplify (- 0) into 0 3.607 * [backup-simplify]: Simplify (+ 0 0) into 0 3.607 * [backup-simplify]: Simplify 0 into 0 3.607 * [backup-simplify]: Simplify (+ 0 0) into 0 3.608 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 3.608 * [backup-simplify]: Simplify (+ 0 0) into 0 3.610 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 1)))) 2) into 0 3.612 * [backup-simplify]: Simplify (* (exp (log (+ (sqrt (+ (exp (/ 1 x)) 1)) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.612 * [backup-simplify]: Simplify (- 0) into 0 3.612 * [backup-simplify]: Simplify (+ 0 0) into 0 3.612 * [backup-simplify]: Simplify 0 into 0 3.613 * [backup-simplify]: Simplify (+ 0 0) into 0 3.614 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 3.614 * [backup-simplify]: Simplify (+ 0 0) into 0 3.617 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 1)))) 6) into 0 3.619 * [backup-simplify]: Simplify (* (exp (log (+ (sqrt (+ (exp (/ 1 x)) 1)) 1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.619 * [backup-simplify]: Simplify (- 0) into 0 3.620 * [backup-simplify]: Simplify (+ 0 0) into 0 3.620 * [backup-simplify]: Simplify 0 into 0 3.620 * [backup-simplify]: Simplify (+ 0 0) into 0 3.621 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 3.622 * [backup-simplify]: Simplify (+ 0 0) into 0 3.627 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 1)))) 24) into 0 3.629 * [backup-simplify]: Simplify (* (exp (log (+ (sqrt (+ (exp (/ 1 x)) 1)) 1))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.630 * [backup-simplify]: Simplify (- 0) into 0 3.630 * [backup-simplify]: Simplify (+ 0 0) into 0 3.630 * [backup-simplify]: Simplify 0 into 0 3.631 * [backup-simplify]: Simplify (+ 0 0) into 0 3.632 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 3.632 * [backup-simplify]: Simplify (+ 0 0) into 0 3.640 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 1)))) 120) into 0 3.644 * [backup-simplify]: Simplify (* (exp (log (+ (sqrt (+ (exp (/ 1 x)) 1)) 1))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.645 * [backup-simplify]: Simplify (- 0) into 0 3.645 * [backup-simplify]: Simplify (+ 0 0) into 0 3.645 * [backup-simplify]: Simplify 0 into 0 3.646 * [backup-simplify]: Simplify (+ 0 0) into 0 3.647 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 3.647 * [backup-simplify]: Simplify (+ 0 0) into 0 3.660 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (sqrt (+ (exp (/ 1 x)) 1)) 1) 1)))) 720) into 0 3.667 * [backup-simplify]: Simplify (* (exp (log (+ (sqrt (+ (exp (/ 1 x)) 1)) 1))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.668 * [backup-simplify]: Simplify (- 0) into 0 3.668 * [backup-simplify]: Simplify (+ 0 0) into 0 3.668 * [backup-simplify]: Simplify 0 into 0 3.669 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 (/ 1 x))) 1)) into (sqrt (+ (exp x) 1)) 3.669 * [backup-simplify]: Simplify (expm1 (log1p (sqrt (+ (exp (/ 1 (- x))) 1)))) into (expm1 (log1p (sqrt (+ (exp (/ -1 x)) 1)))) 3.669 * [approximate]: Taking taylor expansion of (expm1 (log1p (sqrt (+ (exp (/ -1 x)) 1)))) in (x) around 0 3.669 * [taylor]: Taking taylor expansion of (expm1 (log1p (sqrt (+ (exp (/ -1 x)) 1)))) in x 3.669 * [taylor]: Rewrote expression to (- (exp (log1p (sqrt (+ (exp (/ -1 x)) 1)))) 1) 3.669 * [taylor]: Taking taylor expansion of (exp (log1p (sqrt (+ (exp (/ -1 x)) 1)))) in x 3.669 * [taylor]: Taking taylor expansion of (log1p (sqrt (+ (exp (/ -1 x)) 1))) in x 3.669 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (+ (exp (/ -1 x)) 1)))) 3.669 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (+ (exp (/ -1 x)) 1))) in x 3.669 * [taylor]: Taking taylor expansion of 1 in x 3.669 * [backup-simplify]: Simplify 1 into 1 3.669 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 x)) 1)) in x 3.669 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in x 3.669 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 3.669 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.669 * [taylor]: Taking taylor expansion of -1 in x 3.669 * [backup-simplify]: Simplify -1 into -1 3.669 * [taylor]: Taking taylor expansion of x in x 3.669 * [backup-simplify]: Simplify 0 into 0 3.669 * [backup-simplify]: Simplify 1 into 1 3.670 * [backup-simplify]: Simplify (/ -1 1) into -1 3.670 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 3.670 * [taylor]: Taking taylor expansion of 1 in x 3.670 * [backup-simplify]: Simplify 1 into 1 3.670 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) 3.670 * [backup-simplify]: Simplify (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) 3.670 * [backup-simplify]: Simplify (+ 0 0) into 0 3.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 3.671 * [backup-simplify]: Simplify (+ 1 (sqrt (+ (exp (/ -1 x)) 1))) into (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 3.671 * [backup-simplify]: Simplify (log (+ (sqrt (+ (exp (/ -1 x)) 1)) 1)) into (log (+ (sqrt (+ (exp (/ -1 x)) 1)) 1)) 3.671 * [backup-simplify]: Simplify (exp (log (+ (sqrt (+ (exp (/ -1 x)) 1)) 1))) into (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 3.671 * [taylor]: Taking taylor expansion of 1 in x 3.671 * [backup-simplify]: Simplify 1 into 1 3.671 * [taylor]: Taking taylor expansion of (expm1 (log1p (sqrt (+ (exp (/ -1 x)) 1)))) in x 3.671 * [taylor]: Rewrote expression to (- (exp (log1p (sqrt (+ (exp (/ -1 x)) 1)))) 1) 3.671 * [taylor]: Taking taylor expansion of (exp (log1p (sqrt (+ (exp (/ -1 x)) 1)))) in x 3.671 * [taylor]: Taking taylor expansion of (log1p (sqrt (+ (exp (/ -1 x)) 1))) in x 3.671 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (+ (exp (/ -1 x)) 1)))) 3.671 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (+ (exp (/ -1 x)) 1))) in x 3.671 * [taylor]: Taking taylor expansion of 1 in x 3.671 * [backup-simplify]: Simplify 1 into 1 3.671 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 x)) 1)) in x 3.671 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in x 3.671 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 3.671 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.671 * [taylor]: Taking taylor expansion of -1 in x 3.671 * [backup-simplify]: Simplify -1 into -1 3.671 * [taylor]: Taking taylor expansion of x in x 3.671 * [backup-simplify]: Simplify 0 into 0 3.671 * [backup-simplify]: Simplify 1 into 1 3.672 * [backup-simplify]: Simplify (/ -1 1) into -1 3.672 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 3.672 * [taylor]: Taking taylor expansion of 1 in x 3.672 * [backup-simplify]: Simplify 1 into 1 3.672 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) 3.672 * [backup-simplify]: Simplify (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) 3.673 * [backup-simplify]: Simplify (+ 0 0) into 0 3.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 3.673 * [backup-simplify]: Simplify (+ 1 (sqrt (+ (exp (/ -1 x)) 1))) into (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 3.673 * [backup-simplify]: Simplify (log (+ (sqrt (+ (exp (/ -1 x)) 1)) 1)) into (log (+ (sqrt (+ (exp (/ -1 x)) 1)) 1)) 3.673 * [backup-simplify]: Simplify (exp (log (+ (sqrt (+ (exp (/ -1 x)) 1)) 1))) into (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 3.673 * [taylor]: Taking taylor expansion of 1 in x 3.673 * [backup-simplify]: Simplify 1 into 1 3.674 * [backup-simplify]: Simplify (- 1) into -1 3.674 * [backup-simplify]: Simplify (+ (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) -1) into (sqrt (+ (exp (/ -1 x)) 1)) 3.674 * [backup-simplify]: Simplify (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) 3.674 * [backup-simplify]: Simplify (+ 0 0) into 0 3.675 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 1)))) 1) into 0 3.676 * [backup-simplify]: Simplify (* (exp (log (+ (sqrt (+ (exp (/ -1 x)) 1)) 1))) (+ (* (/ (pow 0 1) 1)))) into 0 3.676 * [backup-simplify]: Simplify (- 0) into 0 3.676 * [backup-simplify]: Simplify (+ 0 0) into 0 3.676 * [backup-simplify]: Simplify 0 into 0 3.677 * [backup-simplify]: Simplify (+ 0 0) into 0 3.678 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 3.678 * [backup-simplify]: Simplify (+ 0 0) into 0 3.680 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 1)))) 2) into 0 3.681 * [backup-simplify]: Simplify (* (exp (log (+ (sqrt (+ (exp (/ -1 x)) 1)) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.681 * [backup-simplify]: Simplify (- 0) into 0 3.681 * [backup-simplify]: Simplify (+ 0 0) into 0 3.682 * [backup-simplify]: Simplify 0 into 0 3.682 * [backup-simplify]: Simplify (+ 0 0) into 0 3.683 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 3.683 * [backup-simplify]: Simplify (+ 0 0) into 0 3.686 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 1)))) 6) into 0 3.687 * [backup-simplify]: Simplify (* (exp (log (+ (sqrt (+ (exp (/ -1 x)) 1)) 1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.688 * [backup-simplify]: Simplify (- 0) into 0 3.688 * [backup-simplify]: Simplify (+ 0 0) into 0 3.688 * [backup-simplify]: Simplify 0 into 0 3.688 * [backup-simplify]: Simplify (+ 0 0) into 0 3.689 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 3.690 * [backup-simplify]: Simplify (+ 0 0) into 0 3.695 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 1)))) 24) into 0 3.696 * [backup-simplify]: Simplify (* (exp (log (+ (sqrt (+ (exp (/ -1 x)) 1)) 1))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.697 * [backup-simplify]: Simplify (- 0) into 0 3.697 * [backup-simplify]: Simplify (+ 0 0) into 0 3.697 * [backup-simplify]: Simplify 0 into 0 3.697 * [backup-simplify]: Simplify (+ 0 0) into 0 3.698 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 3.698 * [backup-simplify]: Simplify (+ 0 0) into 0 3.703 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 1)))) 120) into 0 3.705 * [backup-simplify]: Simplify (* (exp (log (+ (sqrt (+ (exp (/ -1 x)) 1)) 1))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.705 * [backup-simplify]: Simplify (- 0) into 0 3.705 * [backup-simplify]: Simplify (+ 0 0) into 0 3.705 * [backup-simplify]: Simplify 0 into 0 3.706 * [backup-simplify]: Simplify (+ 0 0) into 0 3.706 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 3.707 * [backup-simplify]: Simplify (+ 0 0) into 0 3.716 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (sqrt (+ (exp (/ -1 x)) 1)) 1) 1)))) 720) into 0 3.720 * [backup-simplify]: Simplify (* (exp (log (+ (sqrt (+ (exp (/ -1 x)) 1)) 1))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.721 * [backup-simplify]: Simplify (- 0) into 0 3.721 * [backup-simplify]: Simplify (+ 0 0) into 0 3.721 * [backup-simplify]: Simplify 0 into 0 3.721 * [backup-simplify]: Simplify (sqrt (+ (exp (/ -1 (/ 1 (- x)))) 1)) into (sqrt (+ (exp x) 1)) 3.721 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 3.721 * [backup-simplify]: Simplify (sqrt (+ (exp x) 1)) into (sqrt (+ (exp x) 1)) 3.721 * [approximate]: Taking taylor expansion of (sqrt (+ (exp x) 1)) in (x) around 0 3.721 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) 1)) in x 3.721 * [taylor]: Taking taylor expansion of (+ (exp x) 1) in x 3.721 * [taylor]: Taking taylor expansion of (exp x) in x 3.721 * [taylor]: Taking taylor expansion of x in x 3.722 * [backup-simplify]: Simplify 0 into 0 3.722 * [backup-simplify]: Simplify 1 into 1 3.722 * [backup-simplify]: Simplify (exp 0) into 1 3.722 * [taylor]: Taking taylor expansion of 1 in x 3.722 * [backup-simplify]: Simplify 1 into 1 3.722 * [backup-simplify]: Simplify (+ 1 1) into 2 3.722 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 3.723 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 3.723 * [backup-simplify]: Simplify (+ 1 0) into 1 3.724 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) 3.724 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) 1)) in x 3.724 * [taylor]: Taking taylor expansion of (+ (exp x) 1) in x 3.724 * [taylor]: Taking taylor expansion of (exp x) in x 3.724 * [taylor]: Taking taylor expansion of x in x 3.725 * [backup-simplify]: Simplify 0 into 0 3.725 * [backup-simplify]: Simplify 1 into 1 3.725 * [backup-simplify]: Simplify (exp 0) into 1 3.725 * [taylor]: Taking taylor expansion of 1 in x 3.725 * [backup-simplify]: Simplify 1 into 1 3.725 * [backup-simplify]: Simplify (+ 1 1) into 2 3.725 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 3.726 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 3.726 * [backup-simplify]: Simplify (+ 1 0) into 1 3.727 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) 3.727 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 3.728 * [backup-simplify]: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) 3.730 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 3.730 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.735 * [backup-simplify]: Simplify (/ (- 1/2 (pow (/ 1/2 (sqrt 2)) 2) (+)) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) 3.741 * [backup-simplify]: Simplify (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) 3.745 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (pow x 2)) (+ (* (/ 1/2 (sqrt 2)) x) (sqrt 2))) into (- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3)))) 3.745 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) 3.745 * [approximate]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) 1)) in (x) around 0 3.745 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) 1)) in x 3.745 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x 3.745 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.746 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.746 * [taylor]: Taking taylor expansion of x in x 3.746 * [backup-simplify]: Simplify 0 into 0 3.746 * [backup-simplify]: Simplify 1 into 1 3.746 * [backup-simplify]: Simplify (/ 1 1) into 1 3.746 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 3.746 * [taylor]: Taking taylor expansion of 1 in x 3.746 * [backup-simplify]: Simplify 1 into 1 3.746 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) 3.746 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) 3.746 * [backup-simplify]: Simplify (+ 0 0) into 0 3.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 3.746 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) 1)) in x 3.746 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x 3.746 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.746 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.746 * [taylor]: Taking taylor expansion of x in x 3.746 * [backup-simplify]: Simplify 0 into 0 3.746 * [backup-simplify]: Simplify 1 into 1 3.747 * [backup-simplify]: Simplify (/ 1 1) into 1 3.747 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 3.747 * [taylor]: Taking taylor expansion of 1 in x 3.747 * [backup-simplify]: Simplify 1 into 1 3.747 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) 3.747 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) 3.747 * [backup-simplify]: Simplify (+ 0 0) into 0 3.747 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 3.747 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) 3.747 * [backup-simplify]: Simplify 0 into 0 3.748 * [backup-simplify]: Simplify (+ 0 0) into 0 3.748 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 3.748 * [backup-simplify]: Simplify 0 into 0 3.748 * [backup-simplify]: Simplify (+ 0 0) into 0 3.749 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 3.749 * [backup-simplify]: Simplify 0 into 0 3.749 * [backup-simplify]: Simplify (+ 0 0) into 0 3.750 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 3.750 * [backup-simplify]: Simplify 0 into 0 3.750 * [backup-simplify]: Simplify (+ 0 0) into 0 3.751 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 3.751 * [backup-simplify]: Simplify 0 into 0 3.751 * [backup-simplify]: Simplify (+ 0 0) into 0 3.751 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 3.751 * [backup-simplify]: Simplify 0 into 0 3.752 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 (/ 1 x))) 1)) into (sqrt (+ (exp x) 1)) 3.752 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 (- x))) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) 3.752 * [approximate]: Taking taylor expansion of (sqrt (+ (exp (/ -1 x)) 1)) in (x) around 0 3.752 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 x)) 1)) in x 3.752 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in x 3.752 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 3.752 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.752 * [taylor]: Taking taylor expansion of -1 in x 3.752 * [backup-simplify]: Simplify -1 into -1 3.752 * [taylor]: Taking taylor expansion of x in x 3.752 * [backup-simplify]: Simplify 0 into 0 3.752 * [backup-simplify]: Simplify 1 into 1 3.752 * [backup-simplify]: Simplify (/ -1 1) into -1 3.752 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 3.752 * [taylor]: Taking taylor expansion of 1 in x 3.752 * [backup-simplify]: Simplify 1 into 1 3.752 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) 3.752 * [backup-simplify]: Simplify (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) 3.753 * [backup-simplify]: Simplify (+ 0 0) into 0 3.753 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 3.753 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 x)) 1)) in x 3.753 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in x 3.753 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 3.753 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.753 * [taylor]: Taking taylor expansion of -1 in x 3.753 * [backup-simplify]: Simplify -1 into -1 3.753 * [taylor]: Taking taylor expansion of x in x 3.753 * [backup-simplify]: Simplify 0 into 0 3.753 * [backup-simplify]: Simplify 1 into 1 3.753 * [backup-simplify]: Simplify (/ -1 1) into -1 3.753 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 3.753 * [taylor]: Taking taylor expansion of 1 in x 3.753 * [backup-simplify]: Simplify 1 into 1 3.753 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) 3.753 * [backup-simplify]: Simplify (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) 3.753 * [backup-simplify]: Simplify (+ 0 0) into 0 3.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 3.754 * [backup-simplify]: Simplify (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) 3.754 * [backup-simplify]: Simplify 0 into 0 3.754 * [backup-simplify]: Simplify (+ 0 0) into 0 3.754 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 3.754 * [backup-simplify]: Simplify 0 into 0 3.755 * [backup-simplify]: Simplify (+ 0 0) into 0 3.755 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 3.755 * [backup-simplify]: Simplify 0 into 0 3.755 * [backup-simplify]: Simplify (+ 0 0) into 0 3.756 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 3.756 * [backup-simplify]: Simplify 0 into 0 3.756 * [backup-simplify]: Simplify (+ 0 0) into 0 3.757 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 3.757 * [backup-simplify]: Simplify 0 into 0 3.757 * [backup-simplify]: Simplify (+ 0 0) into 0 3.758 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 3.758 * [backup-simplify]: Simplify 0 into 0 3.758 * [backup-simplify]: Simplify (sqrt (+ (exp (/ -1 (/ 1 (- x)))) 1)) into (sqrt (+ (exp x) 1)) 3.758 * * * [progress]: simplifying candidates 3.758 * * * * [progress]: [ 1 / 75 ] simplifiying candidate # 3.758 * * * * [progress]: [ 2 / 75 ] simplifiying candidate # 3.758 * * * * [progress]: [ 3 / 75 ] simplifiying candidate # 3.758 * * * * [progress]: [ 4 / 75 ] simplifiying candidate # 3.758 * * * * [progress]: [ 5 / 75 ] simplifiying candidate # 3.758 * * * * [progress]: [ 6 / 75 ] simplifiying candidate # 3.758 * * * * [progress]: [ 7 / 75 ] simplifiying candidate # 3.758 * * * * [progress]: [ 8 / 75 ] simplifiying candidate # 3.758 * * * * [progress]: [ 9 / 75 ] simplifiying candidate # 3.758 * * * * [progress]: [ 10 / 75 ] simplifiying candidate # 3.758 * * * * [progress]: [ 11 / 75 ] simplifiying candidate # 3.758 * * * * [progress]: [ 12 / 75 ] simplifiying candidate #real (real->posit16 (log1p (sqrt (+ (exp x) 1)))))))> 3.758 * * * * [progress]: [ 13 / 75 ] simplifiying candidate # 3.758 * * * * [progress]: [ 14 / 75 ] simplifiying candidate # 3.759 * * * * [progress]: [ 15 / 75 ] simplifiying candidate # 3.759 * * * * [progress]: [ 16 / 75 ] simplifiying candidate # 3.759 * * * * [progress]: [ 17 / 75 ] simplifiying candidate # 3.759 * * * * [progress]: [ 18 / 75 ] simplifiying candidate # 3.759 * * * * [progress]: [ 19 / 75 ] simplifiying candidate # 3.759 * * * * [progress]: [ 20 / 75 ] simplifiying candidate # 3.759 * * * * [progress]: [ 21 / 75 ] simplifiying candidate # 3.759 * * * * [progress]: [ 22 / 75 ] simplifiying candidate # 3.759 * * * * [progress]: [ 23 / 75 ] simplifiying candidate # 3.759 * * * * [progress]: [ 24 / 75 ] simplifiying candidate # 3.759 * * * * [progress]: [ 25 / 75 ] simplifiying candidate # 3.759 * * * * [progress]: [ 26 / 75 ] simplifiying candidate # 3.759 * * * * [progress]: [ 27 / 75 ] simplifiying candidate # 3.759 * * * * [progress]: [ 28 / 75 ] simplifiying candidate # 3.759 * * * * [progress]: [ 29 / 75 ] simplifiying candidate #real (real->posit16 (+ (exp x) 1)))))))> 3.759 * * * * [progress]: [ 30 / 75 ] simplifiying candidate # 3.759 * * * * [progress]: [ 31 / 75 ] simplifiying candidate # 3.759 * * * * [progress]: [ 32 / 75 ] simplifiying candidate # 3.759 * * * * [progress]: [ 33 / 75 ] simplifiying candidate # 3.759 * * * * [progress]: [ 34 / 75 ] simplifiying candidate # 3.759 * * * * [progress]: [ 35 / 75 ] simplifiying candidate # 3.759 * * * * [progress]: [ 36 / 75 ] simplifiying candidate # 3.759 * * * * [progress]: [ 37 / 75 ] simplifiying candidate # 3.759 * * * * [progress]: [ 38 / 75 ] simplifiying candidate # 3.759 * * * * [progress]: [ 39 / 75 ] simplifiying candidate # 3.759 * * * * [progress]: [ 40 / 75 ] simplifiying candidate # 3.759 * * * * [progress]: [ 41 / 75 ] simplifiying candidate # 3.759 * * * * [progress]: [ 42 / 75 ] simplifiying candidate #real (real->posit16 (expm1 (log1p (sqrt (+ (exp x) 1)))))))> 3.760 * * * * [progress]: [ 43 / 75 ] simplifiying candidate # 3.760 * * * * [progress]: [ 44 / 75 ] simplifiying candidate # 3.760 * * * * [progress]: [ 45 / 75 ] simplifiying candidate # 3.760 * * * * [progress]: [ 46 / 75 ] simplifiying candidate # 3.760 * * * * [progress]: [ 47 / 75 ] simplifiying candidate # 3.760 * * * * [progress]: [ 48 / 75 ] simplifiying candidate # 3.760 * * * * [progress]: [ 49 / 75 ] simplifiying candidate # 3.760 * * * * [progress]: [ 50 / 75 ] simplifiying candidate # 3.760 * * * * [progress]: [ 51 / 75 ] simplifiying candidate # 3.760 * * * * [progress]: [ 52 / 75 ] simplifiying candidate # 3.760 * * * * [progress]: [ 53 / 75 ] simplifiying candidate # 3.760 * * * * [progress]: [ 54 / 75 ] simplifiying candidate # 3.760 * * * * [progress]: [ 55 / 75 ] simplifiying candidate # 3.760 * * * * [progress]: [ 56 / 75 ] simplifiying candidate # 3.760 * * * * [progress]: [ 57 / 75 ] simplifiying candidate # 3.760 * * * * [progress]: [ 58 / 75 ] simplifiying candidate # 3.760 * * * * [progress]: [ 59 / 75 ] simplifiying candidate # 3.760 * * * * [progress]: [ 60 / 75 ] simplifiying candidate # 3.760 * * * * [progress]: [ 61 / 75 ] simplifiying candidate # 3.760 * * * * [progress]: [ 62 / 75 ] simplifiying candidate # 3.760 * * * * [progress]: [ 63 / 75 ] simplifiying candidate #real (real->posit16 (sqrt (+ (exp x) 1)))))))> 3.760 * * * * [progress]: [ 64 / 75 ] simplifiying candidate # 3.760 * * * * [progress]: [ 65 / 75 ] simplifiying candidate # 3.760 * * * * [progress]: [ 66 / 75 ] simplifiying candidate # 3.760 * * * * [progress]: [ 67 / 75 ] simplifiying candidate # 3.760 * * * * [progress]: [ 68 / 75 ] simplifiying candidate # 3.760 * * * * [progress]: [ 69 / 75 ] simplifiying candidate # 3.760 * * * * [progress]: [ 70 / 75 ] simplifiying candidate # 3.761 * * * * [progress]: [ 71 / 75 ] simplifiying candidate # 3.761 * * * * [progress]: [ 72 / 75 ] simplifiying candidate # 3.761 * * * * [progress]: [ 73 / 75 ] simplifiying candidate # 3.761 * * * * [progress]: [ 74 / 75 ] simplifiying candidate # 3.761 * * * * [progress]: [ 75 / 75 ] simplifiying candidate # 3.761 * [simplify]: Simplifying: (+ 1 (sqrt (+ (exp x) 1))) (expm1 (log1p (sqrt (+ (exp x) 1)))) (log1p (log1p (sqrt (+ (exp x) 1)))) (log (log1p (sqrt (+ (exp x) 1)))) (exp (log1p (sqrt (+ (exp x) 1)))) (* (cbrt (log1p (sqrt (+ (exp x) 1)))) (cbrt (log1p (sqrt (+ (exp x) 1))))) (cbrt (log1p (sqrt (+ (exp x) 1)))) (* (* (log1p (sqrt (+ (exp x) 1))) (log1p (sqrt (+ (exp x) 1)))) (log1p (sqrt (+ (exp x) 1)))) (sqrt (log1p (sqrt (+ (exp x) 1)))) (sqrt (log1p (sqrt (+ (exp x) 1)))) (real->posit16 (log1p (sqrt (+ (exp x) 1)))) (expm1 (+ (exp x) 1)) (log1p (+ (exp x) 1)) (* (exp (exp x)) (exp 1)) (log (+ (exp x) 1)) (exp (+ (exp x) 1)) (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) (cbrt (+ (exp x) 1)) (* (* (+ (exp x) 1) (+ (exp x) 1)) (+ (exp x) 1)) (sqrt (+ (exp x) 1)) (sqrt (+ (exp x) 1)) (+ (pow (exp x) 3) (pow 1 3)) (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))) (- (* (exp x) (exp x)) (* 1 1)) (- (exp x) 1) (+ (exp x) 1) (real->posit16 (+ (exp x) 1)) (exp (log1p (sqrt (+ (exp x) 1)))) (expm1 (expm1 (log1p (sqrt (+ (exp x) 1))))) (log1p (expm1 (log1p (sqrt (+ (exp x) 1))))) (log (expm1 (log1p (sqrt (+ (exp x) 1))))) (exp (expm1 (log1p (sqrt (+ (exp x) 1))))) (* (cbrt (expm1 (log1p (sqrt (+ (exp x) 1))))) (cbrt (expm1 (log1p (sqrt (+ (exp x) 1)))))) (cbrt (expm1 (log1p (sqrt (+ (exp x) 1))))) (* (* (expm1 (log1p (sqrt (+ (exp x) 1)))) (expm1 (log1p (sqrt (+ (exp x) 1))))) (expm1 (log1p (sqrt (+ (exp x) 1))))) (sqrt (expm1 (log1p (sqrt (+ (exp x) 1))))) (sqrt (expm1 (log1p (sqrt (+ (exp x) 1))))) (real->posit16 (expm1 (log1p (sqrt (+ (exp x) 1))))) (expm1 (sqrt (+ (exp x) 1))) (log1p (sqrt (+ (exp x) 1))) (log (sqrt (+ (exp x) 1))) (exp (sqrt (+ (exp x) 1))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (sqrt (+ (exp x) 1))) (* (* (sqrt (+ (exp x) 1)) (sqrt (+ (exp x) 1))) (sqrt (+ (exp x) 1))) (sqrt (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) (sqrt (cbrt (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1))) (sqrt 1) (sqrt (+ (exp x) 1)) (sqrt 1) (sqrt (+ (exp x) 1)) (sqrt (+ (pow (exp x) 3) (pow 1 3))) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))) (sqrt (- (* (exp x) (exp x)) (* 1 1))) (sqrt (- (exp x) 1)) (/ 1 2) (sqrt (sqrt (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1))) (real->posit16 (sqrt (+ (exp x) 1))) (- (+ (* 1/4 (/ (pow x 2) (* (sqrt 2) (+ (sqrt 2) 1)))) (+ (log (+ (sqrt 2) 1)) (* 1/2 (/ x (* (+ (sqrt 2) 1) (sqrt 2)))))) (+ (* 1/8 (/ (pow x 2) (* (pow (sqrt 2) 3) (+ (sqrt 2) 1)))) (* 1/8 (/ (pow x 2) (* (pow (+ (sqrt 2) 1) 2) (pow (sqrt 2) 2)))))) (log (+ 1 (sqrt (+ (exp x) 1)))) (log (+ 1 (sqrt (+ (exp x) 1)))) (+ x (+ (* 1/2 (pow x 2)) 2)) (+ (exp x) 1) (+ (exp x) 1) (- (+ (sqrt 2) (+ (* 1/2 (/ x (sqrt 2))) (+ (* 1/8 (/ (pow x 2) (* (pow (+ (sqrt 2) 1) 2) (pow (sqrt 2) 2)))) (+ (* 1/4 (/ (pow x 2) (* (+ (sqrt 2) 1) (sqrt 2)))) (* 1/4 (/ (pow x 2) (+ (sqrt 2) 1))))))) (+ (* 1/8 (/ (pow x 2) (* (+ (sqrt 2) 1) (pow (sqrt 2) 3)))) (+ (* 1/8 (/ (pow x 2) (* (pow (sqrt 2) 2) (pow (+ (sqrt 2) 1) 2)))) (* 1/8 (/ (pow x 2) (* (pow (sqrt 2) 2) (+ (sqrt 2) 1))))))) (sqrt (+ (exp x) 1)) (sqrt (+ (exp x) 1)) (- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3)))) (sqrt (+ (exp x) 1)) (sqrt (+ (exp x) 1)) 3.762 * * [simplify]: iteration 0: 127 enodes 3.800 * * [simplify]: iteration 1: 312 enodes 3.946 * * [simplify]: iteration 2: 1002 enodes 4.248 * * [simplify]: iteration complete: 2011 enodes 4.248 * * [simplify]: Extracting #0: cost 43 inf + 0 4.249 * * [simplify]: Extracting #1: cost 174 inf + 2 4.250 * * [simplify]: Extracting #2: cost 403 inf + 1862 4.254 * * [simplify]: Extracting #3: cost 505 inf + 7689 4.263 * * [simplify]: Extracting #4: cost 214 inf + 51584 4.303 * * [simplify]: Extracting #5: cost 19 inf + 101534 4.342 * * [simplify]: Extracting #6: cost 0 inf + 110154 4.378 * * [simplify]: Extracting #7: cost 0 inf + 109658 4.432 * * [simplify]: Extracting #8: cost 0 inf + 109619 4.487 * [simplify]: Simplified to: (+ 1 (sqrt (+ (exp x) 1))) (sqrt (+ (exp x) 1)) (log1p (log1p (sqrt (+ (exp x) 1)))) (log (log1p (sqrt (+ (exp x) 1)))) (+ 1 (sqrt (+ (exp x) 1))) (* (cbrt (log1p (sqrt (+ (exp x) 1)))) (cbrt (log1p (sqrt (+ (exp x) 1))))) (cbrt (log1p (sqrt (+ (exp x) 1)))) (* (log1p (sqrt (+ (exp x) 1))) (* (log1p (sqrt (+ (exp x) 1))) (log1p (sqrt (+ (exp x) 1))))) (sqrt (log1p (sqrt (+ (exp x) 1)))) (sqrt (log1p (sqrt (+ (exp x) 1)))) (real->posit16 (log1p (sqrt (+ (exp x) 1)))) (expm1 (+ (exp x) 1)) (log1p (+ (exp x) 1)) (* E (exp (exp x))) (log1p (exp x)) (* E (exp (exp x))) (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) (cbrt (+ (exp x) 1)) (* (* (+ (exp x) 1) (+ (exp x) 1)) (+ (exp x) 1)) (sqrt (+ (exp x) 1)) (sqrt (+ (exp x) 1)) (fma (exp x) (* (exp x) (exp x)) 1) (- (fma (exp x) (exp x) 1) (exp x)) (expm1 (+ x x)) (expm1 x) (+ (exp x) 1) (real->posit16 (+ (exp x) 1)) (+ 1 (sqrt (+ (exp x) 1))) (expm1 (sqrt (+ (exp x) 1))) (log1p (sqrt (+ (exp x) 1))) (log (sqrt (+ (exp x) 1))) (exp (sqrt (+ (exp x) 1))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (sqrt (+ (exp x) 1))) (* (+ (exp x) 1) (sqrt (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1))) (real->posit16 (sqrt (+ (exp x) 1))) (expm1 (sqrt (+ (exp x) 1))) (log1p (sqrt (+ (exp x) 1))) (log (sqrt (+ (exp x) 1))) (exp (sqrt (+ (exp x) 1))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (sqrt (+ (exp x) 1))) (* (+ (exp x) 1) (sqrt (+ (exp x) 1))) (fabs (cbrt (+ (exp x) 1))) (sqrt (cbrt (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1))) 1 (sqrt (+ (exp x) 1)) 1 (sqrt (+ (exp x) 1)) (sqrt (fma (exp x) (* (exp x) (exp x)) 1)) (sqrt (- (fma (exp x) (exp x) 1) (exp x))) (sqrt (expm1 (+ x x))) (sqrt (expm1 x)) 1/2 (sqrt (sqrt (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1))) (real->posit16 (sqrt (+ (exp x) 1))) (fma (/ (* x x) (+ 2 (sqrt 2))) 1/4 (- (fma (/ x (+ 2 (sqrt 2))) 1/2 (log1p (sqrt 2))) (fma 1/8 (/ (* x x) (* (+ 2 (sqrt 2)) (+ 2 (sqrt 2)))) (* (/ 1/8 2) (/ (* x x) (+ 2 (sqrt 2))))))) (log1p (sqrt (+ (exp x) 1))) (log1p (sqrt (+ (exp x) 1))) (+ (fma (* x x) 1/2 2) x) (+ (exp x) 1) (+ (exp x) 1) (+ (fma (/ x (sqrt 2)) 1/2 (sqrt 2)) (- (fma 1/16 (* (/ x (+ 1 (sqrt 2))) (/ x (+ 1 (sqrt 2)))) (* 1/4 (+ (/ (* x x) (+ 1 (sqrt 2))) (/ (* x x) (+ 2 (sqrt 2)))))) (fma (/ 1/8 (* (sqrt 2) 2)) (/ (* x x) (+ 1 (sqrt 2))) (fma 1/16 (* (/ x (+ 1 (sqrt 2))) (/ x (+ 1 (sqrt 2)))) (* 1/16 (/ (* x x) (+ 1 (sqrt 2)))))))) (sqrt (+ (exp x) 1)) (sqrt (+ (exp x) 1)) (- (fma (/ x (sqrt 2)) 1/2 (fma (/ (* x x) (sqrt 2)) 1/4 (sqrt 2))) (* 1/16 (/ (* x x) (sqrt 2)))) (sqrt (+ (exp x) 1)) (sqrt (+ (exp x) 1)) 4.492 * * * [progress]: adding candidates to table 4.825 * [progress]: [Phase 3 of 3] Extracting. 4.825 * * [regime]: Finding splitpoints for: (# #) 4.826 * * * [regime-changes]: Trying 1 branch expressions: (x) 4.827 * * * * [regimes]: Trying to branch on x from (# #) 4.867 * * * [regime]: Found split indices: #