1.011 * [progress]: [Phase 1 of 3] Setting up. 0.004 * * * [progress]: [1/2] Preparing points 0.184 * * * [progress]: [2/2] Setting up program. 0.190 * [progress]: [Phase 2 of 3] Improving. 0.191 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.194 * [simplify]: Simplifying: (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 0.196 * * [simplify]: iteration 0: 9 enodes 0.205 * * [simplify]: iteration 1: 18 enodes 0.211 * * [simplify]: iteration 2: 21 enodes 0.217 * * [simplify]: iteration 3: 23 enodes 0.223 * * [simplify]: iteration complete: 23 enodes 0.263 * * [simplify]: Extracting #0: cost 1 inf + 0 0.263 * * [simplify]: Extracting #1: cost 3 inf + 0 0.264 * * [simplify]: Extracting #2: cost 3 inf + 1 0.264 * * [simplify]: Extracting #3: cost 4 inf + 1 0.264 * * [simplify]: Extracting #4: cost 9 inf + 1 0.264 * * [simplify]: Extracting #5: cost 12 inf + 1 0.264 * * [simplify]: Extracting #6: cost 8 inf + 86 0.264 * * [simplify]: Extracting #7: cost 3 inf + 536 0.265 * * [simplify]: Extracting #8: cost 1 inf + 965 0.265 * * [simplify]: Extracting #9: cost 0 inf + 1273 0.265 * [simplify]: Simplified to: (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) 0.274 * * [progress]: iteration 1 / 4 0.275 * * * [progress]: picking best candidate 0.279 * * * * [pick]: Picked # 0.280 * * * [progress]: localizing error 0.313 * * * [progress]: generating rewritten candidates 0.313 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1) 0.330 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.340 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.347 * * * [progress]: generating series expansions 0.347 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1) 0.353 * [backup-simplify]: Simplify (/ (- 1 x) (+ 1 x)) into (/ (- 1 x) (+ x 1)) 0.354 * [approximate]: Taking taylor expansion of (/ (- 1 x) (+ x 1)) in (x) around 0 0.355 * [taylor]: Taking taylor expansion of (/ (- 1 x) (+ x 1)) in x 0.355 * [taylor]: Taking taylor expansion of (- 1 x) in x 0.355 * [taylor]: Taking taylor expansion of 1 in x 0.355 * [backup-simplify]: Simplify 1 into 1 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 1 into 1 0.355 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.356 * [taylor]: Taking taylor expansion of 1 in x 0.356 * [backup-simplify]: Simplify 1 into 1 0.369 * [backup-simplify]: Simplify (- 0) into 0 0.370 * [backup-simplify]: Simplify (+ 1 0) into 1 0.371 * [backup-simplify]: Simplify (+ 0 1) into 1 0.371 * [backup-simplify]: Simplify (/ 1 1) into 1 0.371 * [taylor]: Taking taylor expansion of (/ (- 1 x) (+ x 1)) in x 0.371 * [taylor]: Taking taylor expansion of (- 1 x) in x 0.371 * [taylor]: Taking taylor expansion of 1 in x 0.371 * [backup-simplify]: Simplify 1 into 1 0.371 * [taylor]: Taking taylor expansion of x in x 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 1 into 1 0.371 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [taylor]: Taking taylor expansion of 1 in x 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [backup-simplify]: Simplify (- 0) into 0 0.372 * [backup-simplify]: Simplify (+ 1 0) into 1 0.373 * [backup-simplify]: Simplify (+ 0 1) into 1 0.374 * [backup-simplify]: Simplify (/ 1 1) into 1 0.374 * [backup-simplify]: Simplify 1 into 1 0.375 * [backup-simplify]: Simplify (- 1) into -1 0.376 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.376 * [backup-simplify]: Simplify (+ 1 0) into 1 0.377 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 0.377 * [backup-simplify]: Simplify -2 into -2 0.378 * [backup-simplify]: Simplify (- 0) into 0 0.379 * [backup-simplify]: Simplify (+ 0 0) into 0 0.379 * [backup-simplify]: Simplify (+ 0 0) into 0 0.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -2 (/ 1 1)))) into 2 0.380 * [backup-simplify]: Simplify 2 into 2 0.381 * [backup-simplify]: Simplify (+ (* 2 (pow x 2)) (+ (* -2 x) 1)) into (- (+ (* 2 (pow x 2)) 1) (* 2 x)) 0.382 * [backup-simplify]: Simplify (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) into (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)) 0.382 * [approximate]: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)) in (x) around 0 0.382 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)) in x 0.382 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.382 * [taylor]: Taking taylor expansion of 1 in x 0.382 * [backup-simplify]: Simplify 1 into 1 0.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 1 into 1 0.383 * [backup-simplify]: Simplify (/ 1 1) into 1 0.383 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 1 into 1 0.384 * [backup-simplify]: Simplify (/ 1 1) into 1 0.384 * [taylor]: Taking taylor expansion of 1 in x 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [backup-simplify]: Simplify (- 1) into -1 0.385 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.385 * [backup-simplify]: Simplify (+ 1 0) into 1 0.386 * [backup-simplify]: Simplify (/ -1 1) into -1 0.386 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)) in x 0.386 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.386 * [taylor]: Taking taylor expansion of 1 in x 0.386 * [backup-simplify]: Simplify 1 into 1 0.386 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 1 into 1 0.386 * [backup-simplify]: Simplify (/ 1 1) into 1 0.386 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 1 into 1 0.387 * [backup-simplify]: Simplify (/ 1 1) into 1 0.387 * [taylor]: Taking taylor expansion of 1 in x 0.387 * [backup-simplify]: Simplify 1 into 1 0.387 * [backup-simplify]: Simplify (- 1) into -1 0.388 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.388 * [backup-simplify]: Simplify (+ 1 0) into 1 0.389 * [backup-simplify]: Simplify (/ -1 1) into -1 0.389 * [backup-simplify]: Simplify -1 into -1 0.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.390 * [backup-simplify]: Simplify (- 0) into 0 0.391 * [backup-simplify]: Simplify (+ 1 0) into 1 0.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.392 * [backup-simplify]: Simplify (+ 0 1) into 1 0.393 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 0.393 * [backup-simplify]: Simplify 2 into 2 0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.394 * [backup-simplify]: Simplify (- 0) into 0 0.394 * [backup-simplify]: Simplify (+ 0 0) into 0 0.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.396 * [backup-simplify]: Simplify (+ 0 0) into 0 0.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 1 1)))) into -2 0.397 * [backup-simplify]: Simplify -2 into -2 0.397 * [backup-simplify]: Simplify (+ (* -2 (pow (/ 1 x) 2)) (+ (* 2 (/ 1 x)) -1)) into (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) 0.397 * [backup-simplify]: Simplify (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) into (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))) 0.397 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))) in (x) around 0 0.397 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))) in x 0.398 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify 1 into 1 0.398 * [backup-simplify]: Simplify (/ 1 1) into 1 0.398 * [taylor]: Taking taylor expansion of 1 in x 0.398 * [backup-simplify]: Simplify 1 into 1 0.398 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.398 * [taylor]: Taking taylor expansion of 1 in x 0.398 * [backup-simplify]: Simplify 1 into 1 0.398 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify 1 into 1 0.399 * [backup-simplify]: Simplify (/ 1 1) into 1 0.399 * [backup-simplify]: Simplify (+ 1 0) into 1 0.399 * [backup-simplify]: Simplify (- 1) into -1 0.400 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.400 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.400 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))) in x 0.400 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.400 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 1 into 1 0.401 * [backup-simplify]: Simplify (/ 1 1) into 1 0.401 * [taylor]: Taking taylor expansion of 1 in x 0.401 * [backup-simplify]: Simplify 1 into 1 0.401 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.401 * [taylor]: Taking taylor expansion of 1 in x 0.401 * [backup-simplify]: Simplify 1 into 1 0.401 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 1 into 1 0.401 * [backup-simplify]: Simplify (/ 1 1) into 1 0.402 * [backup-simplify]: Simplify (+ 1 0) into 1 0.402 * [backup-simplify]: Simplify (- 1) into -1 0.403 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.403 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.403 * [backup-simplify]: Simplify -1 into -1 0.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.404 * [backup-simplify]: Simplify (+ 0 1) into 1 0.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.406 * [backup-simplify]: Simplify (- 0) into 0 0.406 * [backup-simplify]: Simplify (+ 1 0) into 1 0.407 * [backup-simplify]: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 0.407 * [backup-simplify]: Simplify -2 into -2 0.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.408 * [backup-simplify]: Simplify (+ 0 0) into 0 0.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.409 * [backup-simplify]: Simplify (- 0) into 0 0.410 * [backup-simplify]: Simplify (+ 0 0) into 0 0.411 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2 0.411 * [backup-simplify]: Simplify -2 into -2 0.411 * [backup-simplify]: Simplify (+ (* -2 (pow (/ 1 (- x)) 2)) (+ (* -2 (/ 1 (- x))) -1)) into (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) 0.412 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.412 * [backup-simplify]: Simplify (sqrt (/ (- 1 x) (+ 1 x))) into (sqrt (/ (- 1 x) (+ x 1))) 0.412 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1 x) (+ x 1))) in (x) around 0 0.412 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1 x) (+ x 1))) in x 0.412 * [taylor]: Taking taylor expansion of (/ (- 1 x) (+ x 1)) in x 0.412 * [taylor]: Taking taylor expansion of (- 1 x) in x 0.412 * [taylor]: Taking taylor expansion of 1 in x 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [taylor]: Taking taylor expansion of 1 in x 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [backup-simplify]: Simplify (- 0) into 0 0.413 * [backup-simplify]: Simplify (+ 1 0) into 1 0.413 * [backup-simplify]: Simplify (+ 0 1) into 1 0.414 * [backup-simplify]: Simplify (/ 1 1) into 1 0.414 * [backup-simplify]: Simplify (sqrt 1) into 1 0.414 * [backup-simplify]: Simplify (- 1) into -1 0.415 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.415 * [backup-simplify]: Simplify (+ 1 0) into 1 0.416 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 0.417 * [backup-simplify]: Simplify (/ -2 (* 2 (sqrt 1))) into -1 0.417 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1 x) (+ x 1))) in x 0.417 * [taylor]: Taking taylor expansion of (/ (- 1 x) (+ x 1)) in x 0.417 * [taylor]: Taking taylor expansion of (- 1 x) in x 0.417 * [taylor]: Taking taylor expansion of 1 in x 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [taylor]: Taking taylor expansion of 1 in x 0.417 * [backup-simplify]: Simplify 1 into 1 0.418 * [backup-simplify]: Simplify (- 0) into 0 0.418 * [backup-simplify]: Simplify (+ 1 0) into 1 0.418 * [backup-simplify]: Simplify (+ 0 1) into 1 0.419 * [backup-simplify]: Simplify (/ 1 1) into 1 0.419 * [backup-simplify]: Simplify (sqrt 1) into 1 0.420 * [backup-simplify]: Simplify (- 1) into -1 0.420 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.421 * [backup-simplify]: Simplify (+ 1 0) into 1 0.421 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 0.422 * [backup-simplify]: Simplify (/ -2 (* 2 (sqrt 1))) into -1 0.422 * [backup-simplify]: Simplify 1 into 1 0.422 * [backup-simplify]: Simplify -1 into -1 0.424 * [backup-simplify]: Simplify (- 0) into 0 0.424 * [backup-simplify]: Simplify (+ 0 0) into 0 0.424 * [backup-simplify]: Simplify (+ 0 0) into 0 0.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -2 (/ 1 1)))) into 2 0.427 * [backup-simplify]: Simplify (/ (- 2 (pow -1 2) (+)) (* 2 1)) into 1/2 0.427 * [backup-simplify]: Simplify 1/2 into 1/2 0.427 * [backup-simplify]: Simplify (+ (* 1/2 (pow x 2)) (+ (* -1 x) 1)) into (- (+ (* 1/2 (pow x 2)) 1) x) 0.427 * [backup-simplify]: Simplify (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) into (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))) 0.427 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))) in (x) around 0 0.427 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))) in x 0.427 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)) in x 0.427 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.427 * [taylor]: Taking taylor expansion of 1 in x 0.427 * [backup-simplify]: Simplify 1 into 1 0.427 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 1 into 1 0.428 * [backup-simplify]: Simplify (/ 1 1) into 1 0.428 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.428 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 1 into 1 0.429 * [backup-simplify]: Simplify (/ 1 1) into 1 0.429 * [taylor]: Taking taylor expansion of 1 in x 0.429 * [backup-simplify]: Simplify 1 into 1 0.429 * [backup-simplify]: Simplify (- 1) into -1 0.430 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.430 * [backup-simplify]: Simplify (+ 1 0) into 1 0.431 * [backup-simplify]: Simplify (/ -1 1) into -1 0.431 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.432 * [backup-simplify]: Simplify (- 0) into 0 0.433 * [backup-simplify]: Simplify (+ 1 0) into 1 0.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (+ 0 1) into 1 0.435 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 0.436 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt -1))) into (/ 1 (sqrt -1)) 0.436 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))) in x 0.437 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)) in x 0.437 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.437 * [taylor]: Taking taylor expansion of 1 in x 0.437 * [backup-simplify]: Simplify 1 into 1 0.437 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 1 into 1 0.437 * [backup-simplify]: Simplify (/ 1 1) into 1 0.437 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.437 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 1 into 1 0.438 * [backup-simplify]: Simplify (/ 1 1) into 1 0.438 * [taylor]: Taking taylor expansion of 1 in x 0.438 * [backup-simplify]: Simplify 1 into 1 0.438 * [backup-simplify]: Simplify (- 1) into -1 0.439 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.439 * [backup-simplify]: Simplify (+ 1 0) into 1 0.439 * [backup-simplify]: Simplify (/ -1 1) into -1 0.440 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.441 * [backup-simplify]: Simplify (- 0) into 0 0.441 * [backup-simplify]: Simplify (+ 1 0) into 1 0.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (+ 0 1) into 1 0.443 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 0.445 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt -1))) into (/ 1 (sqrt -1)) 0.445 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.446 * [backup-simplify]: Simplify (/ 1 (sqrt -1)) into (/ 1 (sqrt -1)) 0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (- 0) into 0 0.448 * [backup-simplify]: Simplify (+ 0 0) into 0 0.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (+ 0 0) into 0 0.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 1 1)))) into -2 0.454 * [backup-simplify]: Simplify (/ (- -2 (pow (/ 1 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (/ -1/2 (sqrt -1)) 0.455 * [backup-simplify]: Simplify (/ -1/2 (sqrt -1)) into (/ -1/2 (sqrt -1)) 0.458 * [backup-simplify]: Simplify (+ (* (/ -1/2 (sqrt -1)) (pow (/ 1 x) 2)) (+ (* (/ 1 (sqrt -1)) (/ 1 x)) (sqrt -1))) into (- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) 0.458 * [backup-simplify]: Simplify (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) into (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))) 0.458 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))) in (x) around 0 0.458 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))) in x 0.458 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))) in x 0.458 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.458 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 1 into 1 0.459 * [backup-simplify]: Simplify (/ 1 1) into 1 0.459 * [taylor]: Taking taylor expansion of 1 in x 0.459 * [backup-simplify]: Simplify 1 into 1 0.459 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.459 * [taylor]: Taking taylor expansion of 1 in x 0.459 * [backup-simplify]: Simplify 1 into 1 0.459 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify 1 into 1 0.459 * [backup-simplify]: Simplify (/ 1 1) into 1 0.460 * [backup-simplify]: Simplify (+ 1 0) into 1 0.460 * [backup-simplify]: Simplify (- 1) into -1 0.461 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.461 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.461 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.463 * [backup-simplify]: Simplify (+ 0 1) into 1 0.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.464 * [backup-simplify]: Simplify (- 0) into 0 0.464 * [backup-simplify]: Simplify (+ 1 0) into 1 0.465 * [backup-simplify]: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 0.467 * [backup-simplify]: Simplify (/ -2 (* 2 (sqrt -1))) into (/ -1 (sqrt -1)) 0.467 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))) in x 0.467 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))) in x 0.467 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.467 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.467 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify 1 into 1 0.467 * [backup-simplify]: Simplify (/ 1 1) into 1 0.467 * [taylor]: Taking taylor expansion of 1 in x 0.467 * [backup-simplify]: Simplify 1 into 1 0.467 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.467 * [taylor]: Taking taylor expansion of 1 in x 0.467 * [backup-simplify]: Simplify 1 into 1 0.467 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 1 into 1 0.468 * [backup-simplify]: Simplify (/ 1 1) into 1 0.468 * [backup-simplify]: Simplify (+ 1 0) into 1 0.469 * [backup-simplify]: Simplify (- 1) into -1 0.469 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.470 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.470 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.471 * [backup-simplify]: Simplify (+ 0 1) into 1 0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.472 * [backup-simplify]: Simplify (- 0) into 0 0.473 * [backup-simplify]: Simplify (+ 1 0) into 1 0.474 * [backup-simplify]: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 0.475 * [backup-simplify]: Simplify (/ -2 (* 2 (sqrt -1))) into (/ -1 (sqrt -1)) 0.476 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.477 * [backup-simplify]: Simplify (/ -1 (sqrt -1)) into (/ -1 (sqrt -1)) 0.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.478 * [backup-simplify]: Simplify (+ 0 0) into 0 0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (- 0) into 0 0.480 * [backup-simplify]: Simplify (+ 0 0) into 0 0.481 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2 0.484 * [backup-simplify]: Simplify (/ (- -2 (pow (/ -1 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (/ -1/2 (sqrt -1)) 0.485 * [backup-simplify]: Simplify (/ -1/2 (sqrt -1)) into (/ -1/2 (sqrt -1)) 0.488 * [backup-simplify]: Simplify (+ (* (/ -1/2 (sqrt -1)) (pow (/ 1 (- x)) 2)) (+ (* (/ -1 (sqrt -1)) (/ 1 (- x))) (sqrt -1))) into (- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) 0.488 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.488 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) 0.488 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ x 1)))) in (x) around 0 0.488 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ x 1)))) in x 0.490 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 x) (+ x 1)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) 0.490 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ x 1)))) in x 0.491 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 x) (+ x 1)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) 0.491 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 x) (+ x 1)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 x) (+ x 1)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) 0.492 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 0.492 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) in (x) around 0 0.492 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) in x 0.492 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 0.492 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) in x 0.492 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 0.492 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 (/ 1 (/ 1 x))) (+ (/ 1 (/ 1 x)) 1)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) 0.493 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) into (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 0.493 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) in (x) around 0 0.493 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) in x 0.493 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 0.493 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) in x 0.493 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 0.494 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 (/ 1 (- x))) 1) (- 1 (/ 1 (/ 1 (- x))))))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) 0.494 * * * [progress]: simplifying candidates 0.494 * * * * [progress]: [ 1 / 112 ] simplifiying candidate # 0.495 * * * * [progress]: [ 2 / 112 ] simplifiying candidate # 0.495 * * * * [progress]: [ 3 / 112 ] simplifiying candidate # 0.495 * * * * [progress]: [ 4 / 112 ] simplifiying candidate # 0.495 * * * * [progress]: [ 5 / 112 ] simplifiying candidate # 0.495 * * * * [progress]: [ 6 / 112 ] simplifiying candidate # 0.495 * * * * [progress]: [ 7 / 112 ] simplifiying candidate # 0.495 * * * * [progress]: [ 8 / 112 ] simplifiying candidate # 0.496 * * * * [progress]: [ 9 / 112 ] simplifiying candidate # 0.496 * * * * [progress]: [ 10 / 112 ] simplifiying candidate # 0.496 * * * * [progress]: [ 11 / 112 ] simplifiying candidate # 0.496 * * * * [progress]: [ 12 / 112 ] simplifiying candidate # 0.496 * * * * [progress]: [ 13 / 112 ] simplifiying candidate # 0.496 * * * * [progress]: [ 14 / 112 ] simplifiying candidate # 0.496 * * * * [progress]: [ 15 / 112 ] simplifiying candidate # 0.496 * * * * [progress]: [ 16 / 112 ] simplifiying candidate # 0.496 * * * * [progress]: [ 17 / 112 ] simplifiying candidate # 0.496 * * * * [progress]: [ 18 / 112 ] simplifiying candidate # 0.496 * * * * [progress]: [ 19 / 112 ] simplifiying candidate # 0.496 * * * * [progress]: [ 20 / 112 ] simplifiying candidate # 0.496 * * * * [progress]: [ 21 / 112 ] simplifiying candidate # 0.496 * * * * [progress]: [ 22 / 112 ] simplifiying candidate # 0.496 * * * * [progress]: [ 23 / 112 ] simplifiying candidate # 0.497 * * * * [progress]: [ 24 / 112 ] simplifiying candidate # 0.497 * * * * [progress]: [ 25 / 112 ] simplifiying candidate # 0.497 * * * * [progress]: [ 26 / 112 ] simplifiying candidate # 0.497 * * * * [progress]: [ 27 / 112 ] simplifiying candidate # 0.497 * * * * [progress]: [ 28 / 112 ] simplifiying candidate # 0.497 * * * * [progress]: [ 29 / 112 ] simplifiying candidate # 0.497 * * * * [progress]: [ 30 / 112 ] simplifiying candidate # 0.497 * * * * [progress]: [ 31 / 112 ] simplifiying candidate # 0.497 * * * * [progress]: [ 32 / 112 ] simplifiying candidate # 0.497 * * * * [progress]: [ 33 / 112 ] simplifiying candidate # 0.497 * * * * [progress]: [ 34 / 112 ] simplifiying candidate # 0.497 * * * * [progress]: [ 35 / 112 ] simplifiying candidate # 0.497 * * * * [progress]: [ 36 / 112 ] simplifiying candidate # 0.497 * * * * [progress]: [ 37 / 112 ] simplifiying candidate # 0.497 * * * * [progress]: [ 38 / 112 ] simplifiying candidate # 0.497 * * * * [progress]: [ 39 / 112 ] simplifiying candidate # 0.498 * * * * [progress]: [ 40 / 112 ] simplifiying candidate # 0.498 * * * * [progress]: [ 41 / 112 ] simplifiying candidate # 0.498 * * * * [progress]: [ 42 / 112 ] simplifiying candidate # 0.498 * * * * [progress]: [ 43 / 112 ] simplifiying candidate # 0.498 * * * * [progress]: [ 44 / 112 ] simplifiying candidate # 0.498 * * * * [progress]: [ 45 / 112 ] simplifiying candidate # 0.498 * * * * [progress]: [ 46 / 112 ] simplifiying candidate # 0.498 * * * * [progress]: [ 47 / 112 ] simplifiying candidate # 0.498 * * * * [progress]: [ 48 / 112 ] simplifiying candidate # 0.498 * * * * [progress]: [ 49 / 112 ] simplifiying candidate # 0.498 * * * * [progress]: [ 50 / 112 ] simplifiying candidate # 0.498 * * * * [progress]: [ 51 / 112 ] simplifiying candidate # 0.498 * * * * [progress]: [ 52 / 112 ] simplifiying candidate #real (real->posit16 (/ (- 1 x) (+ 1 x))))))))> 0.498 * * * * [progress]: [ 53 / 112 ] simplifiying candidate # 0.498 * * * * [progress]: [ 54 / 112 ] simplifiying candidate # 0.498 * * * * [progress]: [ 55 / 112 ] simplifiying candidate # 0.499 * * * * [progress]: [ 56 / 112 ] simplifiying candidate # 0.499 * * * * [progress]: [ 57 / 112 ] simplifiying candidate # 0.499 * * * * [progress]: [ 58 / 112 ] simplifiying candidate # 0.499 * * * * [progress]: [ 59 / 112 ] simplifiying candidate # 0.499 * * * * [progress]: [ 60 / 112 ] simplifiying candidate # 0.499 * * * * [progress]: [ 61 / 112 ] simplifiying candidate # 0.499 * * * * [progress]: [ 62 / 112 ] simplifiying candidate # 0.499 * * * * [progress]: [ 63 / 112 ] simplifiying candidate # 0.499 * * * * [progress]: [ 64 / 112 ] simplifiying candidate # 0.499 * * * * [progress]: [ 65 / 112 ] simplifiying candidate # 0.499 * * * * [progress]: [ 66 / 112 ] simplifiying candidate # 0.499 * * * * [progress]: [ 67 / 112 ] simplifiying candidate # 0.499 * * * * [progress]: [ 68 / 112 ] simplifiying candidate # 0.499 * * * * [progress]: [ 69 / 112 ] simplifiying candidate # 0.499 * * * * [progress]: [ 70 / 112 ] simplifiying candidate # 0.500 * * * * [progress]: [ 71 / 112 ] simplifiying candidate # 0.500 * * * * [progress]: [ 72 / 112 ] simplifiying candidate # 0.500 * * * * [progress]: [ 73 / 112 ] simplifiying candidate # 0.500 * * * * [progress]: [ 74 / 112 ] simplifiying candidate # 0.500 * * * * [progress]: [ 75 / 112 ] simplifiying candidate # 0.500 * * * * [progress]: [ 76 / 112 ] simplifiying candidate # 0.500 * * * * [progress]: [ 77 / 112 ] simplifiying candidate # 0.500 * * * * [progress]: [ 78 / 112 ] simplifiying candidate # 0.500 * * * * [progress]: [ 79 / 112 ] simplifiying candidate # 0.500 * * * * [progress]: [ 80 / 112 ] simplifiying candidate # 0.500 * * * * [progress]: [ 81 / 112 ] simplifiying candidate # 0.500 * * * * [progress]: [ 82 / 112 ] simplifiying candidate # 0.500 * * * * [progress]: [ 83 / 112 ] simplifiying candidate # 0.500 * * * * [progress]: [ 84 / 112 ] simplifiying candidate # 0.500 * * * * [progress]: [ 85 / 112 ] simplifiying candidate # 0.501 * * * * [progress]: [ 86 / 112 ] simplifiying candidate # 0.501 * * * * [progress]: [ 87 / 112 ] simplifiying candidate # 0.501 * * * * [progress]: [ 88 / 112 ] simplifiying candidate # 0.501 * * * * [progress]: [ 89 / 112 ] simplifiying candidate # 0.501 * * * * [progress]: [ 90 / 112 ] simplifiying candidate # 0.501 * * * * [progress]: [ 91 / 112 ] simplifiying candidate # 0.501 * * * * [progress]: [ 92 / 112 ] simplifiying candidate # 0.501 * * * * [progress]: [ 93 / 112 ] simplifiying candidate # 0.501 * * * * [progress]: [ 94 / 112 ] simplifiying candidate # 0.501 * * * * [progress]: [ 95 / 112 ] simplifiying candidate #real (real->posit16 (sqrt (/ (- 1 x) (+ 1 x))))))))> 0.501 * * * * [progress]: [ 96 / 112 ] simplifiying candidate # 0.501 * * * * [progress]: [ 97 / 112 ] simplifiying candidate # 0.501 * * * * [progress]: [ 98 / 112 ] simplifiying candidate # 0.501 * * * * [progress]: [ 99 / 112 ] simplifiying candidate # 0.501 * * * * [progress]: [ 100 / 112 ] simplifiying candidate # 0.501 * * * * [progress]: [ 101 / 112 ] simplifiying candidate # 0.502 * * * * [progress]: [ 102 / 112 ] simplifiying candidate # 0.502 * * * * [progress]: [ 103 / 112 ] simplifiying candidate #real (real->posit16 (atan (sqrt (/ (- 1 x) (+ 1 x))))))))> 0.502 * * * * [progress]: [ 104 / 112 ] simplifiying candidate # 0.502 * * * * [progress]: [ 105 / 112 ] simplifiying candidate # 0.502 * * * * [progress]: [ 106 / 112 ] simplifiying candidate # 0.502 * * * * [progress]: [ 107 / 112 ] simplifiying candidate # 0.502 * * * * [progress]: [ 108 / 112 ] simplifiying candidate # 0.502 * * * * [progress]: [ 109 / 112 ] simplifiying candidate # 0.502 * * * * [progress]: [ 110 / 112 ] simplifiying candidate # 0.502 * * * * [progress]: [ 111 / 112 ] simplifiying candidate # 0.502 * * * * [progress]: [ 112 / 112 ] simplifiying candidate # 0.503 * [simplify]: Simplifying: (- (log (- 1 x)) (log (+ 1 x))) (log (/ (- 1 x) (+ 1 x))) (exp (/ (- 1 x) (+ 1 x))) (/ (* (* (- 1 x) (- 1 x)) (- 1 x)) (* (* (+ 1 x) (+ 1 x)) (+ 1 x))) (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x))) (* (* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x))) (sqrt (/ (- 1 x) (+ 1 x))) (sqrt (/ (- 1 x) (+ 1 x))) (- (- 1 x)) (- (+ 1 x)) (/ 1 (+ 1 x)) (/ x (+ 1 x)) (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (cbrt (- 1 x)) (cbrt (+ 1 x))) (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) (/ (cbrt (- 1 x)) (+ 1 x)) (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) (/ (cbrt (- 1 x)) (+ 1 x)) (/ (sqrt (- 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (- 1 x)) (cbrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) 1) (/ (sqrt (- 1 x)) (+ 1 x)) (/ (sqrt (- 1 x)) 1) (/ (sqrt (- 1 x)) (+ 1 x)) (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- 1 x) (cbrt (+ 1 x))) (/ 1 (sqrt (+ 1 x))) (/ (- 1 x) (sqrt (+ 1 x))) (/ 1 1) (/ (- 1 x) (+ 1 x)) (/ 1 1) (/ (- 1 x) (+ 1 x)) (/ (+ (sqrt 1) (sqrt x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- (sqrt 1) (sqrt x)) (cbrt (+ 1 x))) (/ (+ (sqrt 1) (sqrt x)) (sqrt (+ 1 x))) (/ (- (sqrt 1) (sqrt x)) (sqrt (+ 1 x))) (/ (+ (sqrt 1) (sqrt x)) 1) (/ (- (sqrt 1) (sqrt x)) (+ 1 x)) (/ (+ (sqrt 1) (sqrt x)) 1) (/ (- (sqrt 1) (sqrt x)) (+ 1 x)) (/ (+ 1 (sqrt x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- 1 (sqrt x)) (cbrt (+ 1 x))) (/ (+ 1 (sqrt x)) (sqrt (+ 1 x))) (/ (- 1 (sqrt x)) (sqrt (+ 1 x))) (/ (+ 1 (sqrt x)) 1) (/ (- 1 (sqrt x)) (+ 1 x)) (/ (+ 1 (sqrt x)) 1) (/ (- 1 (sqrt x)) (+ 1 x)) (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- 1 x) (cbrt (+ 1 x))) (/ 1 (sqrt (+ 1 x))) (/ (- 1 x) (sqrt (+ 1 x))) (/ 1 1) (/ (- 1 x) (+ 1 x)) (/ 1 1) (/ (- 1 x) (+ 1 x)) (/ 1 (+ 1 x)) (/ (+ 1 x) (- 1 x)) (/ (- 1 x) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- 1 x) (sqrt (+ 1 x))) (/ (- 1 x) 1) (/ (- 1 x) 1) (/ (+ 1 x) (cbrt (- 1 x))) (/ (+ 1 x) (sqrt (- 1 x))) (/ (+ 1 x) (- 1 x)) (/ (+ 1 x) (- (sqrt 1) (sqrt x))) (/ (+ 1 x) (- 1 (sqrt x))) (/ (+ 1 x) (- 1 x)) (/ (- 1 x) (+ (pow 1 3) (pow x 3))) (/ (- 1 x) (- (* 1 1) (* x x))) (* (+ 1 x) (+ (* 1 1) (+ (* x x) (* 1 x)))) (* (+ 1 x) (+ 1 x)) (real->posit16 (/ (- 1 x) (+ 1 x))) (log (sqrt (/ (- 1 x) (+ 1 x)))) (exp (sqrt (/ (- 1 x) (+ 1 x)))) (* (cbrt (sqrt (/ (- 1 x) (+ 1 x)))) (cbrt (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (sqrt (/ (- 1 x) (+ 1 x)))) (* (* (sqrt (/ (- 1 x) (+ 1 x))) (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))) (sqrt (cbrt (/ (- 1 x) (+ 1 x)))) (sqrt (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (/ (cbrt (- 1 x)) (cbrt (+ 1 x)))) (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))) (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1)) (sqrt (/ (cbrt (- 1 x)) (+ 1 x))) (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1)) (sqrt (/ (cbrt (- 1 x)) (+ 1 x))) (sqrt (/ (sqrt (- 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (/ (sqrt (- 1 x)) (cbrt (+ 1 x)))) (sqrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) (sqrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) (sqrt (/ (sqrt (- 1 x)) 1)) (sqrt (/ (sqrt (- 1 x)) (+ 1 x))) (sqrt (/ (sqrt (- 1 x)) 1)) (sqrt (/ (sqrt (- 1 x)) (+ 1 x))) (sqrt (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (/ (- 1 x) (cbrt (+ 1 x)))) (sqrt (/ 1 (sqrt (+ 1 x)))) (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1 x) (+ 1 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1 x) (+ 1 x))) (sqrt (/ (+ (sqrt 1) (sqrt x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (/ (- (sqrt 1) (sqrt x)) (cbrt (+ 1 x)))) (sqrt (/ (+ (sqrt 1) (sqrt x)) (sqrt (+ 1 x)))) (sqrt (/ (- (sqrt 1) (sqrt x)) (sqrt (+ 1 x)))) (sqrt (/ (+ (sqrt 1) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1) (sqrt x)) (+ 1 x))) (sqrt (/ (+ (sqrt 1) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1) (sqrt x)) (+ 1 x))) (sqrt (/ (+ 1 (sqrt x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (/ (- 1 (sqrt x)) (cbrt (+ 1 x)))) (sqrt (/ (+ 1 (sqrt x)) (sqrt (+ 1 x)))) (sqrt (/ (- 1 (sqrt x)) (sqrt (+ 1 x)))) (sqrt (/ (+ 1 (sqrt x)) 1)) (sqrt (/ (- 1 (sqrt x)) (+ 1 x))) (sqrt (/ (+ 1 (sqrt x)) 1)) (sqrt (/ (- 1 (sqrt x)) (+ 1 x))) (sqrt (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (/ (- 1 x) (cbrt (+ 1 x)))) (sqrt (/ 1 (sqrt (+ 1 x)))) (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1 x) (+ 1 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1 x) (+ 1 x))) (sqrt 1) (sqrt (/ (- 1 x) (+ 1 x))) (sqrt (- 1 x)) (sqrt (/ 1 (+ 1 x))) (sqrt (/ (- 1 x) (+ (pow 1 3) (pow x 3)))) (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))) (sqrt (/ (- 1 x) (- (* 1 1) (* x x)))) (sqrt (- 1 x)) (sqrt (- 1 x)) (sqrt (+ 1 x)) (/ 1 2) (sqrt (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (sqrt (/ (- 1 x) (+ 1 x)))) (real->posit16 (sqrt (/ (- 1 x) (+ 1 x)))) (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (real->posit16 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (- (+ (* 2 (pow x 2)) 1) (* 2 x)) (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) (- (+ (* 1/2 (pow x 2)) 1) x) (- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) (- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1)))) 0.505 * * [simplify]: iteration 0: 168 enodes 0.566 * * [simplify]: iteration 1: 341 enodes 0.691 * * [simplify]: iteration 2: 768 enodes 0.953 * * [simplify]: iteration 3: 2000 enodes 1.475 * * [simplify]: iteration complete: 2000 enodes 1.475 * * [simplify]: Extracting #0: cost 92 inf + 0 1.476 * * [simplify]: Extracting #1: cost 337 inf + 2 1.480 * * [simplify]: Extracting #2: cost 760 inf + 1947 1.492 * * [simplify]: Extracting #3: cost 490 inf + 34643 1.520 * * [simplify]: Extracting #4: cost 125 inf + 90441 1.546 * * [simplify]: Extracting #5: cost 36 inf + 109324 1.566 * * [simplify]: Extracting #6: cost 9 inf + 115731 1.607 * * [simplify]: Extracting #7: cost 0 inf + 118007 1.633 * [simplify]: Simplified to: (log (/ (- 1 x) (+ 1 x))) (log (/ (- 1 x) (+ 1 x))) (exp (/ (- 1 x) (+ 1 x))) (* (/ (- 1 x) (+ 1 x)) (* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x)))) (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x))) (* (/ (- 1 x) (+ 1 x)) (* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (sqrt (/ (- 1 x) (+ 1 x))) (- (- 1 x)) (- -1 x) (/ 1 (+ 1 x)) (/ x (+ 1 x)) (* (/ (cbrt (- 1 x)) (cbrt (+ 1 x))) (/ (cbrt (- 1 x)) (cbrt (+ 1 x)))) (/ (cbrt (- 1 x)) (cbrt (+ 1 x))) (/ (cbrt (- 1 x)) (/ (sqrt (+ 1 x)) (cbrt (- 1 x)))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) (* (cbrt (- 1 x)) (cbrt (- 1 x))) (/ (cbrt (- 1 x)) (+ 1 x)) (* (cbrt (- 1 x)) (cbrt (- 1 x))) (/ (cbrt (- 1 x)) (+ 1 x)) (/ (/ (sqrt (- 1 x)) (cbrt (+ 1 x))) (cbrt (+ 1 x))) (/ (sqrt (- 1 x)) (cbrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (- 1 x)) (/ (sqrt (- 1 x)) (+ 1 x)) (sqrt (- 1 x)) (/ (sqrt (- 1 x)) (+ 1 x)) (/ (/ 1 (cbrt (+ 1 x))) (cbrt (+ 1 x))) (/ (- 1 x) (cbrt (+ 1 x))) (/ 1 (sqrt (+ 1 x))) (/ (- 1 x) (sqrt (+ 1 x))) 1 (/ (- 1 x) (+ 1 x)) 1 (/ (- 1 x) (+ 1 x)) (/ (/ (+ (sqrt x) 1) (cbrt (+ 1 x))) (cbrt (+ 1 x))) (/ (- 1 (sqrt x)) (cbrt (+ 1 x))) (/ (+ (sqrt x) 1) (sqrt (+ 1 x))) (/ (- 1 (sqrt x)) (sqrt (+ 1 x))) (+ (sqrt x) 1) (/ (- 1 (sqrt x)) (+ 1 x)) (+ (sqrt x) 1) (/ (- 1 (sqrt x)) (+ 1 x)) (/ (/ (+ (sqrt x) 1) (cbrt (+ 1 x))) (cbrt (+ 1 x))) (/ (- 1 (sqrt x)) (cbrt (+ 1 x))) (/ (+ (sqrt x) 1) (sqrt (+ 1 x))) (/ (- 1 (sqrt x)) (sqrt (+ 1 x))) (+ (sqrt x) 1) (/ (- 1 (sqrt x)) (+ 1 x)) (+ (sqrt x) 1) (/ (- 1 (sqrt x)) (+ 1 x)) (/ (/ 1 (cbrt (+ 1 x))) (cbrt (+ 1 x))) (/ (- 1 x) (cbrt (+ 1 x))) (/ 1 (sqrt (+ 1 x))) (/ (- 1 x) (sqrt (+ 1 x))) 1 (/ (- 1 x) (+ 1 x)) 1 (/ (- 1 x) (+ 1 x)) (/ 1 (+ 1 x)) (/ (+ 1 x) (- 1 x)) (/ (/ (- 1 x) (cbrt (+ 1 x))) (cbrt (+ 1 x))) (/ (- 1 x) (sqrt (+ 1 x))) (- 1 x) (- 1 x) (/ (+ 1 x) (cbrt (- 1 x))) (/ (+ 1 x) (sqrt (- 1 x))) (/ (+ 1 x) (- 1 x)) (/ (+ 1 x) (- 1 (sqrt x))) (/ (+ 1 x) (- 1 (sqrt x))) (/ (+ 1 x) (- 1 x)) (/ (- 1 x) (+ (* (* x x) x) 1)) (/ (- 1 x) (- 1 (* x x))) (+ (+ 1 x) (* (+ 1 x) (* x (+ 1 x)))) (* (+ 1 x) (+ 1 x)) (real->posit16 (/ (- 1 x) (+ 1 x))) (log (sqrt (/ (- 1 x) (+ 1 x)))) (exp (sqrt (/ (- 1 x) (+ 1 x)))) (* (cbrt (sqrt (/ (- 1 x) (+ 1 x)))) (cbrt (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (sqrt (/ (- 1 x) (+ 1 x)))) (* (/ (- 1 x) (+ 1 x)) (sqrt (/ (- 1 x) (+ 1 x)))) (fabs (cbrt (/ (- 1 x) (+ 1 x)))) (sqrt (cbrt (/ (- 1 x) (+ 1 x)))) (sqrt (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (sqrt (/ (- 1 x) (+ 1 x)))) (fabs (/ (cbrt (- 1 x)) (cbrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (cbrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (/ (sqrt (+ 1 x)) (cbrt (- 1 x))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))) (fabs (cbrt (- 1 x))) (sqrt (/ (cbrt (- 1 x)) (+ 1 x))) (fabs (cbrt (- 1 x))) (sqrt (/ (cbrt (- 1 x)) (+ 1 x))) (sqrt (/ (/ (sqrt (- 1 x)) (cbrt (+ 1 x))) (cbrt (+ 1 x)))) (sqrt (/ (sqrt (- 1 x)) (cbrt (+ 1 x)))) (sqrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) (sqrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) (sqrt (sqrt (- 1 x))) (sqrt (/ (sqrt (- 1 x)) (+ 1 x))) (sqrt (sqrt (- 1 x))) (sqrt (/ (sqrt (- 1 x)) (+ 1 x))) (sqrt (/ (/ 1 (cbrt (+ 1 x))) (cbrt (+ 1 x)))) (sqrt (/ (- 1 x) (cbrt (+ 1 x)))) (sqrt (/ 1 (sqrt (+ 1 x)))) (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) 1 (sqrt (/ (- 1 x) (+ 1 x))) 1 (sqrt (/ (- 1 x) (+ 1 x))) (sqrt (/ (/ (+ (sqrt x) 1) (cbrt (+ 1 x))) (cbrt (+ 1 x)))) (sqrt (/ (- 1 (sqrt x)) (cbrt (+ 1 x)))) (sqrt (/ (+ (sqrt x) 1) (sqrt (+ 1 x)))) (sqrt (/ (- 1 (sqrt x)) (sqrt (+ 1 x)))) (sqrt (+ (sqrt x) 1)) (sqrt (/ (- 1 (sqrt x)) (+ 1 x))) (sqrt (+ (sqrt x) 1)) (sqrt (/ (- 1 (sqrt x)) (+ 1 x))) (sqrt (/ (/ (+ (sqrt x) 1) (cbrt (+ 1 x))) (cbrt (+ 1 x)))) (sqrt (/ (- 1 (sqrt x)) (cbrt (+ 1 x)))) (sqrt (/ (+ (sqrt x) 1) (sqrt (+ 1 x)))) (sqrt (/ (- 1 (sqrt x)) (sqrt (+ 1 x)))) (sqrt (+ (sqrt x) 1)) (sqrt (/ (- 1 (sqrt x)) (+ 1 x))) (sqrt (+ (sqrt x) 1)) (sqrt (/ (- 1 (sqrt x)) (+ 1 x))) (sqrt (/ (/ 1 (cbrt (+ 1 x))) (cbrt (+ 1 x)))) (sqrt (/ (- 1 x) (cbrt (+ 1 x)))) (sqrt (/ 1 (sqrt (+ 1 x)))) (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) 1 (sqrt (/ (- 1 x) (+ 1 x))) 1 (sqrt (/ (- 1 x) (+ 1 x))) 1 (sqrt (/ (- 1 x) (+ 1 x))) (sqrt (- 1 x)) (sqrt (/ 1 (+ 1 x))) (sqrt (/ (- 1 x) (+ (* (* x x) x) 1))) (sqrt (+ (* x x) (- 1 x))) (sqrt (/ (- 1 x) (- 1 (* x x)))) (sqrt (- 1 x)) (sqrt (- 1 x)) (sqrt (+ 1 x)) 1/2 (sqrt (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (sqrt (/ (- 1 x) (+ 1 x)))) (real->posit16 (sqrt (/ (- 1 x) (+ 1 x)))) (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (real->posit16 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (+ 1 (* 2 (- (* x x) x))) (- (/ 2 x) (+ (/ 2 (* x x)) 1)) (- (/ 2 x) (+ (/ 2 (* x x)) 1)) (+ (* 1/2 (* x x)) (- 1 x)) (+ (+ (sqrt -1) (/ (/ 1 x) (sqrt -1))) (/ -1/2 (* (sqrt -1) (* x x)))) (+ (+ (sqrt -1) (/ (/ 1 x) (sqrt -1))) (/ -1/2 (* (sqrt -1) (* x x)))) (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1)))) 1.641 * * * [progress]: adding candidates to table 2.478 * * [progress]: iteration 2 / 4 2.478 * * * [progress]: picking best candidate 2.480 * * * * [pick]: Picked # 2.480 * * * [progress]: localizing error 2.499 * * * [progress]: generating rewritten candidates 2.500 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1) 2.525 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 2.527 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 2.547 * * * [progress]: generating series expansions 2.548 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1) 2.548 * [backup-simplify]: Simplify (* 1/2 (* x x)) into (* 1/2 (pow x 2)) 2.548 * [approximate]: Taking taylor expansion of (* 1/2 (pow x 2)) in (x) around 0 2.548 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 2.548 * [taylor]: Taking taylor expansion of 1/2 in x 2.548 * [backup-simplify]: Simplify 1/2 into 1/2 2.548 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.548 * [taylor]: Taking taylor expansion of x in x 2.548 * [backup-simplify]: Simplify 0 into 0 2.548 * [backup-simplify]: Simplify 1 into 1 2.548 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 2.548 * [taylor]: Taking taylor expansion of 1/2 in x 2.548 * [backup-simplify]: Simplify 1/2 into 1/2 2.548 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.548 * [taylor]: Taking taylor expansion of x in x 2.548 * [backup-simplify]: Simplify 0 into 0 2.548 * [backup-simplify]: Simplify 1 into 1 2.549 * [backup-simplify]: Simplify (* 1 1) into 1 2.549 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.549 * [backup-simplify]: Simplify 1/2 into 1/2 2.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.550 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.550 * [backup-simplify]: Simplify 0 into 0 2.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.551 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.551 * [backup-simplify]: Simplify 0 into 0 2.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.553 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.553 * [backup-simplify]: Simplify 0 into 0 2.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.554 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.554 * [backup-simplify]: Simplify 0 into 0 2.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.556 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.556 * [backup-simplify]: Simplify 0 into 0 2.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.558 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.558 * [backup-simplify]: Simplify 0 into 0 2.558 * [backup-simplify]: Simplify (* 1/2 (pow x 2)) into (* 1/2 (pow x 2)) 2.558 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 x) (/ 1 x))) into (/ 1/2 (pow x 2)) 2.558 * [approximate]: Taking taylor expansion of (/ 1/2 (pow x 2)) in (x) around 0 2.558 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 2.558 * [taylor]: Taking taylor expansion of 1/2 in x 2.558 * [backup-simplify]: Simplify 1/2 into 1/2 2.558 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.558 * [taylor]: Taking taylor expansion of x in x 2.558 * [backup-simplify]: Simplify 0 into 0 2.558 * [backup-simplify]: Simplify 1 into 1 2.558 * [backup-simplify]: Simplify (* 1 1) into 1 2.559 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.559 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 2.559 * [taylor]: Taking taylor expansion of 1/2 in x 2.559 * [backup-simplify]: Simplify 1/2 into 1/2 2.559 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.559 * [taylor]: Taking taylor expansion of x in x 2.559 * [backup-simplify]: Simplify 0 into 0 2.559 * [backup-simplify]: Simplify 1 into 1 2.559 * [backup-simplify]: Simplify (* 1 1) into 1 2.559 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.559 * [backup-simplify]: Simplify 1/2 into 1/2 2.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.560 * [backup-simplify]: Simplify 0 into 0 2.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.561 * [backup-simplify]: Simplify 0 into 0 2.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.563 * [backup-simplify]: Simplify 0 into 0 2.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.564 * [backup-simplify]: Simplify 0 into 0 2.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.565 * [backup-simplify]: Simplify 0 into 0 2.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.567 * [backup-simplify]: Simplify 0 into 0 2.567 * [backup-simplify]: Simplify (* 1/2 (pow (/ 1 (/ 1 x)) 2)) into (* 1/2 (pow x 2)) 2.567 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 (- x)) (/ 1 (- x)))) into (/ 1/2 (pow x 2)) 2.567 * [approximate]: Taking taylor expansion of (/ 1/2 (pow x 2)) in (x) around 0 2.567 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 2.567 * [taylor]: Taking taylor expansion of 1/2 in x 2.567 * [backup-simplify]: Simplify 1/2 into 1/2 2.567 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.567 * [taylor]: Taking taylor expansion of x in x 2.567 * [backup-simplify]: Simplify 0 into 0 2.567 * [backup-simplify]: Simplify 1 into 1 2.567 * [backup-simplify]: Simplify (* 1 1) into 1 2.568 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.568 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 2.568 * [taylor]: Taking taylor expansion of 1/2 in x 2.568 * [backup-simplify]: Simplify 1/2 into 1/2 2.568 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.568 * [taylor]: Taking taylor expansion of x in x 2.568 * [backup-simplify]: Simplify 0 into 0 2.568 * [backup-simplify]: Simplify 1 into 1 2.568 * [backup-simplify]: Simplify (* 1 1) into 1 2.568 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.568 * [backup-simplify]: Simplify 1/2 into 1/2 2.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.569 * [backup-simplify]: Simplify 0 into 0 2.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.570 * [backup-simplify]: Simplify 0 into 0 2.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.572 * [backup-simplify]: Simplify 0 into 0 2.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.573 * [backup-simplify]: Simplify 0 into 0 2.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.574 * [backup-simplify]: Simplify 0 into 0 2.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.579 * [backup-simplify]: Simplify 0 into 0 2.579 * [backup-simplify]: Simplify (* 1/2 (pow (/ 1 (/ 1 (- x))) 2)) into (* 1/2 (pow x 2)) 2.579 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 2.580 * [backup-simplify]: Simplify (atan (+ (* 1/2 (* x x)) (- 1 x))) into (atan (- (+ (* 1/2 (pow x 2)) 1) x)) 2.580 * [approximate]: Taking taylor expansion of (atan (- (+ (* 1/2 (pow x 2)) 1) x)) in (x) around 0 2.580 * [taylor]: Taking taylor expansion of (atan (- (+ (* 1/2 (pow x 2)) 1) x)) in x 2.580 * [backup-simplify]: Simplify (atan (- (+ (* 1/2 (pow x 2)) 1) x)) into (atan (- (+ (* 1/2 (pow x 2)) 1) x)) 2.580 * [taylor]: Taking taylor expansion of (atan (- (+ (* 1/2 (pow x 2)) 1) x)) in x 2.580 * [backup-simplify]: Simplify (atan (- (+ (* 1/2 (pow x 2)) 1) x)) into (atan (- (+ (* 1/2 (pow x 2)) 1) x)) 2.580 * [backup-simplify]: Simplify (atan (- (+ (* 1/2 (pow x 2)) 1) x)) into (atan (- (+ (* 1/2 (pow x 2)) 1) x)) 2.580 * [backup-simplify]: Simplify 0 into 0 2.580 * [backup-simplify]: Simplify 0 into 0 2.581 * [backup-simplify]: Simplify 0 into 0 2.581 * [backup-simplify]: Simplify 0 into 0 2.581 * [backup-simplify]: Simplify 0 into 0 2.581 * [backup-simplify]: Simplify 0 into 0 2.581 * [backup-simplify]: Simplify (atan (- (+ (* 1/2 (pow x 2)) 1) x)) into (atan (- (+ (* 1/2 (pow x 2)) 1) x)) 2.581 * [backup-simplify]: Simplify (atan (+ (* 1/2 (* (/ 1 x) (/ 1 x))) (- 1 (/ 1 x)))) into (atan (- (+ (* 1/2 (/ 1 (pow x 2))) 1) (/ 1 x))) 2.581 * [approximate]: Taking taylor expansion of (atan (- (+ (* 1/2 (/ 1 (pow x 2))) 1) (/ 1 x))) in (x) around 0 2.581 * [taylor]: Taking taylor expansion of (atan (- (+ (* 1/2 (/ 1 (pow x 2))) 1) (/ 1 x))) in x 2.581 * [backup-simplify]: Simplify (atan (- (+ (* 1/2 (/ 1 (pow x 2))) 1) (/ 1 x))) into (atan (- (+ (* 1/2 (/ 1 (pow x 2))) 1) (/ 1 x))) 2.581 * [taylor]: Taking taylor expansion of (atan (- (+ (* 1/2 (/ 1 (pow x 2))) 1) (/ 1 x))) in x 2.582 * [backup-simplify]: Simplify (atan (- (+ (* 1/2 (/ 1 (pow x 2))) 1) (/ 1 x))) into (atan (- (+ (* 1/2 (/ 1 (pow x 2))) 1) (/ 1 x))) 2.582 * [backup-simplify]: Simplify (atan (- (+ (* 1/2 (/ 1 (pow x 2))) 1) (/ 1 x))) into (atan (- (+ (* 1/2 (/ 1 (pow x 2))) 1) (/ 1 x))) 2.582 * [backup-simplify]: Simplify 0 into 0 2.582 * [backup-simplify]: Simplify 0 into 0 2.582 * [backup-simplify]: Simplify 0 into 0 2.582 * [backup-simplify]: Simplify 0 into 0 2.582 * [backup-simplify]: Simplify 0 into 0 2.582 * [backup-simplify]: Simplify 0 into 0 2.582 * [backup-simplify]: Simplify (atan (- (+ (* 1/2 (/ 1 (pow (/ 1 x) 2))) 1) (/ 1 (/ 1 x)))) into (atan (- (+ (* 1/2 (pow x 2)) 1) x)) 2.583 * [backup-simplify]: Simplify (atan (+ (* 1/2 (* (/ 1 (- x)) (/ 1 (- x)))) (- 1 (/ 1 (- x))))) into (atan (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 1))) 2.583 * [approximate]: Taking taylor expansion of (atan (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 1))) in (x) around 0 2.583 * [taylor]: Taking taylor expansion of (atan (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 1))) in x 2.583 * [backup-simplify]: Simplify (atan (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 1))) into (atan (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 1))) 2.583 * [taylor]: Taking taylor expansion of (atan (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 1))) in x 2.583 * [backup-simplify]: Simplify (atan (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 1))) into (atan (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 1))) 2.584 * [backup-simplify]: Simplify (atan (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 1))) into (atan (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 1))) 2.584 * [backup-simplify]: Simplify 0 into 0 2.584 * [backup-simplify]: Simplify 0 into 0 2.584 * [backup-simplify]: Simplify 0 into 0 2.584 * [backup-simplify]: Simplify 0 into 0 2.584 * [backup-simplify]: Simplify 0 into 0 2.584 * [backup-simplify]: Simplify 0 into 0 2.584 * [backup-simplify]: Simplify (atan (+ (* 1/2 (/ 1 (pow (/ 1 (- x)) 2))) (+ (/ 1 (/ 1 (- x))) 1))) into (atan (- (+ (* 1/2 (pow x 2)) 1) x)) 2.584 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 2.584 * [backup-simplify]: Simplify (+ (* 1/2 (* x x)) (- 1 x)) into (- (+ (* 1/2 (pow x 2)) 1) x) 2.584 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (pow x 2)) 1) x) in (x) around 0 2.584 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (pow x 2)) 1) x) in x 2.584 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) 1) in x 2.584 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 2.585 * [taylor]: Taking taylor expansion of 1/2 in x 2.585 * [backup-simplify]: Simplify 1/2 into 1/2 2.585 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.585 * [taylor]: Taking taylor expansion of x in x 2.585 * [backup-simplify]: Simplify 0 into 0 2.585 * [backup-simplify]: Simplify 1 into 1 2.585 * [taylor]: Taking taylor expansion of 1 in x 2.585 * [backup-simplify]: Simplify 1 into 1 2.585 * [taylor]: Taking taylor expansion of x in x 2.585 * [backup-simplify]: Simplify 0 into 0 2.585 * [backup-simplify]: Simplify 1 into 1 2.585 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (pow x 2)) 1) x) in x 2.585 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) 1) in x 2.585 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 2.585 * [taylor]: Taking taylor expansion of 1/2 in x 2.585 * [backup-simplify]: Simplify 1/2 into 1/2 2.585 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.585 * [taylor]: Taking taylor expansion of x in x 2.585 * [backup-simplify]: Simplify 0 into 0 2.585 * [backup-simplify]: Simplify 1 into 1 2.585 * [taylor]: Taking taylor expansion of 1 in x 2.585 * [backup-simplify]: Simplify 1 into 1 2.585 * [taylor]: Taking taylor expansion of x in x 2.585 * [backup-simplify]: Simplify 0 into 0 2.585 * [backup-simplify]: Simplify 1 into 1 2.586 * [backup-simplify]: Simplify (+ 0 1) into 1 2.586 * [backup-simplify]: Simplify (- 0) into 0 2.587 * [backup-simplify]: Simplify (+ 1 0) into 1 2.587 * [backup-simplify]: Simplify 1 into 1 2.587 * [backup-simplify]: Simplify (+ 0 0) into 0 2.587 * [backup-simplify]: Simplify (- 1) into -1 2.588 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.588 * [backup-simplify]: Simplify -1 into -1 2.588 * [backup-simplify]: Simplify (* 1 1) into 1 2.589 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.589 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 2.589 * [backup-simplify]: Simplify (- 0) into 0 2.590 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 2.590 * [backup-simplify]: Simplify 1/2 into 1/2 2.590 * [backup-simplify]: Simplify (+ (* 1/2 (pow x 2)) (+ (* -1 x) 1)) into (- (+ (* 1/2 (pow x 2)) 1) x) 2.590 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 x) (/ 1 x))) (- 1 (/ 1 x))) into (- (+ (* 1/2 (/ 1 (pow x 2))) 1) (/ 1 x)) 2.590 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (pow x 2))) 1) (/ 1 x)) in (x) around 0 2.590 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (pow x 2))) 1) (/ 1 x)) in x 2.590 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) 1) in x 2.591 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 2.591 * [taylor]: Taking taylor expansion of 1/2 in x 2.591 * [backup-simplify]: Simplify 1/2 into 1/2 2.591 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.591 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.591 * [taylor]: Taking taylor expansion of x in x 2.591 * [backup-simplify]: Simplify 0 into 0 2.591 * [backup-simplify]: Simplify 1 into 1 2.591 * [backup-simplify]: Simplify (* 1 1) into 1 2.591 * [backup-simplify]: Simplify (/ 1 1) into 1 2.591 * [taylor]: Taking taylor expansion of 1 in x 2.592 * [backup-simplify]: Simplify 1 into 1 2.592 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.592 * [taylor]: Taking taylor expansion of x in x 2.592 * [backup-simplify]: Simplify 0 into 0 2.592 * [backup-simplify]: Simplify 1 into 1 2.592 * [backup-simplify]: Simplify (/ 1 1) into 1 2.592 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (pow x 2))) 1) (/ 1 x)) in x 2.592 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) 1) in x 2.592 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 2.592 * [taylor]: Taking taylor expansion of 1/2 in x 2.592 * [backup-simplify]: Simplify 1/2 into 1/2 2.592 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.592 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.592 * [taylor]: Taking taylor expansion of x in x 2.592 * [backup-simplify]: Simplify 0 into 0 2.592 * [backup-simplify]: Simplify 1 into 1 2.593 * [backup-simplify]: Simplify (* 1 1) into 1 2.593 * [backup-simplify]: Simplify (/ 1 1) into 1 2.593 * [taylor]: Taking taylor expansion of 1 in x 2.593 * [backup-simplify]: Simplify 1 into 1 2.593 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.593 * [taylor]: Taking taylor expansion of x in x 2.593 * [backup-simplify]: Simplify 0 into 0 2.593 * [backup-simplify]: Simplify 1 into 1 2.593 * [backup-simplify]: Simplify (/ 1 1) into 1 2.594 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.594 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 2.595 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 2.595 * [backup-simplify]: Simplify 1/2 into 1/2 2.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.596 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.596 * [backup-simplify]: Simplify (+ 0 0) into 0 2.596 * [backup-simplify]: Simplify (- 1) into -1 2.597 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.597 * [backup-simplify]: Simplify -1 into -1 2.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.598 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.599 * [backup-simplify]: Simplify (+ 0 1) into 1 2.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.599 * [backup-simplify]: Simplify (- 0) into 0 2.600 * [backup-simplify]: Simplify (+ 1 0) into 1 2.600 * [backup-simplify]: Simplify 1 into 1 2.600 * [backup-simplify]: Simplify (+ 1 (+ (* -1 (/ 1 (/ 1 x))) (* 1/2 (pow (/ 1 (/ 1 x)) 2)))) into (- (+ (* 1/2 (pow x 2)) 1) x) 2.600 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- x)) (/ 1 (- x)))) (- 1 (/ 1 (- x)))) into (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 1)) 2.600 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 1)) in (x) around 0 2.600 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 1)) in x 2.600 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 2.600 * [taylor]: Taking taylor expansion of 1/2 in x 2.600 * [backup-simplify]: Simplify 1/2 into 1/2 2.600 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.600 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.600 * [taylor]: Taking taylor expansion of x in x 2.600 * [backup-simplify]: Simplify 0 into 0 2.600 * [backup-simplify]: Simplify 1 into 1 2.600 * [backup-simplify]: Simplify (* 1 1) into 1 2.601 * [backup-simplify]: Simplify (/ 1 1) into 1 2.601 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 2.601 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.601 * [taylor]: Taking taylor expansion of x in x 2.601 * [backup-simplify]: Simplify 0 into 0 2.601 * [backup-simplify]: Simplify 1 into 1 2.601 * [backup-simplify]: Simplify (/ 1 1) into 1 2.601 * [taylor]: Taking taylor expansion of 1 in x 2.601 * [backup-simplify]: Simplify 1 into 1 2.601 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 1)) in x 2.601 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 2.601 * [taylor]: Taking taylor expansion of 1/2 in x 2.601 * [backup-simplify]: Simplify 1/2 into 1/2 2.601 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.601 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.601 * [taylor]: Taking taylor expansion of x in x 2.601 * [backup-simplify]: Simplify 0 into 0 2.601 * [backup-simplify]: Simplify 1 into 1 2.601 * [backup-simplify]: Simplify (* 1 1) into 1 2.602 * [backup-simplify]: Simplify (/ 1 1) into 1 2.602 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 2.602 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.602 * [taylor]: Taking taylor expansion of x in x 2.602 * [backup-simplify]: Simplify 0 into 0 2.602 * [backup-simplify]: Simplify 1 into 1 2.602 * [backup-simplify]: Simplify (/ 1 1) into 1 2.602 * [taylor]: Taking taylor expansion of 1 in x 2.602 * [backup-simplify]: Simplify 1 into 1 2.602 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.603 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 2.603 * [backup-simplify]: Simplify 1/2 into 1/2 2.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.604 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.604 * [backup-simplify]: Simplify (+ 1 0) into 1 2.604 * [backup-simplify]: Simplify (+ 0 1) into 1 2.605 * [backup-simplify]: Simplify 1 into 1 2.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.606 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.607 * [backup-simplify]: Simplify (+ 0 1) into 1 2.607 * [backup-simplify]: Simplify (+ 0 1) into 1 2.607 * [backup-simplify]: Simplify 1 into 1 2.608 * [backup-simplify]: Simplify (+ 1 (+ (* 1 (/ 1 (/ 1 (- x)))) (* 1/2 (pow (/ 1 (/ 1 (- x))) 2)))) into (- (+ (* 1/2 (pow x 2)) 1) x) 2.608 * * * [progress]: simplifying candidates 2.608 * * * * [progress]: [ 1 / 53 ] simplifiying candidate # 2.608 * * * * [progress]: [ 2 / 53 ] simplifiying candidate # 2.608 * * * * [progress]: [ 3 / 53 ] simplifiying candidate # 2.608 * * * * [progress]: [ 4 / 53 ] simplifiying candidate # 2.608 * * * * [progress]: [ 5 / 53 ] simplifiying candidate # 2.608 * * * * [progress]: [ 6 / 53 ] simplifiying candidate # 2.608 * * * * [progress]: [ 7 / 53 ] simplifiying candidate # 2.608 * * * * [progress]: [ 8 / 53 ] simplifiying candidate # 2.608 * * * * [progress]: [ 9 / 53 ] simplifiying candidate # 2.608 * * * * [progress]: [ 10 / 53 ] simplifiying candidate # 2.608 * * * * [progress]: [ 11 / 53 ] simplifiying candidate # 2.608 * * * * [progress]: [ 12 / 53 ] simplifiying candidate # 2.608 * * * * [progress]: [ 13 / 53 ] simplifiying candidate # 2.608 * * * * [progress]: [ 14 / 53 ] simplifiying candidate # 2.608 * * * * [progress]: [ 15 / 53 ] simplifiying candidate # 2.608 * * * * [progress]: [ 16 / 53 ] simplifiying candidate # 2.608 * * * * [progress]: [ 17 / 53 ] simplifiying candidate # 2.608 * * * * [progress]: [ 18 / 53 ] simplifiying candidate # 2.608 * * * * [progress]: [ 19 / 53 ] simplifiying candidate #real (real->posit16 (* 1/2 (* x x)))) (- 1 x)))))> 2.608 * * * * [progress]: [ 20 / 53 ] simplifiying candidate # 2.608 * * * * [progress]: [ 21 / 53 ] simplifiying candidate # 2.609 * * * * [progress]: [ 22 / 53 ] simplifiying candidate # 2.609 * * * * [progress]: [ 23 / 53 ] simplifiying candidate # 2.609 * * * * [progress]: [ 24 / 53 ] simplifiying candidate # 2.609 * * * * [progress]: [ 25 / 53 ] simplifiying candidate # 2.609 * * * * [progress]: [ 26 / 53 ] simplifiying candidate # 2.609 * * * * [progress]: [ 27 / 53 ] simplifiying candidate # 2.609 * * * * [progress]: [ 28 / 53 ] simplifiying candidate #real (real->posit16 (atan (+ (* 1/2 (* x x)) (- 1 x)))))))> 2.609 * * * * [progress]: [ 29 / 53 ] simplifiying candidate # 2.609 * * * * [progress]: [ 30 / 53 ] simplifiying candidate # 2.609 * * * * [progress]: [ 31 / 53 ] simplifiying candidate # 2.609 * * * * [progress]: [ 32 / 53 ] simplifiying candidate # 2.609 * * * * [progress]: [ 33 / 53 ] simplifiying candidate # 2.609 * * * * [progress]: [ 34 / 53 ] simplifiying candidate # 2.609 * * * * [progress]: [ 35 / 53 ] simplifiying candidate # 2.609 * * * * [progress]: [ 36 / 53 ] simplifiying candidate # 2.609 * * * * [progress]: [ 37 / 53 ] simplifiying candidate # 2.609 * * * * [progress]: [ 38 / 53 ] simplifiying candidate # 2.609 * * * * [progress]: [ 39 / 53 ] simplifiying candidate # 2.609 * * * * [progress]: [ 40 / 53 ] simplifiying candidate # 2.609 * * * * [progress]: [ 41 / 53 ] simplifiying candidate # 2.609 * * * * [progress]: [ 42 / 53 ] simplifiying candidate # 2.609 * * * * [progress]: [ 43 / 53 ] simplifiying candidate #real (real->posit16 (+ (* 1/2 (* x x)) (- 1 x)))))))> 2.609 * * * * [progress]: [ 44 / 53 ] simplifiying candidate # 2.609 * * * * [progress]: [ 45 / 53 ] simplifiying candidate # 2.609 * * * * [progress]: [ 46 / 53 ] simplifiying candidate # 2.609 * * * * [progress]: [ 47 / 53 ] simplifiying candidate # 2.609 * * * * [progress]: [ 48 / 53 ] simplifiying candidate # 2.609 * * * * [progress]: [ 49 / 53 ] simplifiying candidate # 2.610 * * * * [progress]: [ 50 / 53 ] simplifiying candidate # 2.610 * * * * [progress]: [ 51 / 53 ] simplifiying candidate # 2.610 * * * * [progress]: [ 52 / 53 ] simplifiying candidate # 2.610 * * * * [progress]: [ 53 / 53 ] simplifiying candidate # 2.610 * [simplify]: Simplifying: (* 1/2 (* x x)) (* 1/2 (* x x)) (+ (log 1/2) (+ (log x) (log x))) (+ (log 1/2) (log (* x x))) (log (* 1/2 (* x x))) (exp (* 1/2 (* x x))) (* (* (* 1/2 1/2) 1/2) (* (* (* x x) x) (* (* x x) x))) (* (* (* 1/2 1/2) 1/2) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (* 1/2 (* x x))) (cbrt (* 1/2 (* x x)))) (cbrt (* 1/2 (* x x))) (* (* (* 1/2 (* x x)) (* 1/2 (* x x))) (* 1/2 (* x x))) (sqrt (* 1/2 (* x x))) (sqrt (* 1/2 (* x x))) (* (sqrt 1/2) x) (* (sqrt 1/2) x) (* 1/2 x) (* (cbrt 1/2) (* x x)) (* (sqrt 1/2) (* x x)) (* 1/2 (* x x)) (real->posit16 (* 1/2 (* x x))) (log (atan (+ (* 1/2 (* x x)) (- 1 x)))) (exp (atan (+ (* 1/2 (* x x)) (- 1 x)))) (* (cbrt (atan (+ (* 1/2 (* x x)) (- 1 x)))) (cbrt (atan (+ (* 1/2 (* x x)) (- 1 x))))) (cbrt (atan (+ (* 1/2 (* x x)) (- 1 x)))) (* (* (atan (+ (* 1/2 (* x x)) (- 1 x))) (atan (+ (* 1/2 (* x x)) (- 1 x)))) (atan (+ (* 1/2 (* x x)) (- 1 x)))) (sqrt (atan (+ (* 1/2 (* x x)) (- 1 x)))) (sqrt (atan (+ (* 1/2 (* x x)) (- 1 x)))) (real->posit16 (atan (+ (* 1/2 (* x x)) (- 1 x)))) (* (exp (* 1/2 (* x x))) (/ (exp 1) (exp x))) (* (exp (* 1/2 (* x x))) (exp (- 1 x))) (log (+ (* 1/2 (* x x)) (- 1 x))) (exp (+ (* 1/2 (* x x)) (- 1 x))) (* (cbrt (+ (* 1/2 (* x x)) (- 1 x))) (cbrt (+ (* 1/2 (* x x)) (- 1 x)))) (cbrt (+ (* 1/2 (* x x)) (- 1 x))) (* (* (+ (* 1/2 (* x x)) (- 1 x)) (+ (* 1/2 (* x x)) (- 1 x))) (+ (* 1/2 (* x x)) (- 1 x))) (sqrt (+ (* 1/2 (* x x)) (- 1 x))) (sqrt (+ (* 1/2 (* x x)) (- 1 x))) (+ (pow (* 1/2 (* x x)) 3) (pow (- 1 x) 3)) (+ (* (* 1/2 (* x x)) (* 1/2 (* x x))) (- (* (- 1 x) (- 1 x)) (* (* 1/2 (* x x)) (- 1 x)))) (- (* (* 1/2 (* x x)) (* 1/2 (* x x))) (* (- 1 x) (- 1 x))) (- (* 1/2 (* x x)) (- 1 x)) (+ (* 1/2 (* x x)) 1) (+ (* 1/2 (* x x)) 1) (+ (* 1/2 (* x x)) 1) (real->posit16 (+ (* 1/2 (* x x)) (- 1 x))) (* 1/2 (pow x 2)) (* 1/2 (pow x 2)) (* 1/2 (pow x 2)) (atan (- (+ (* 1/2 (pow x 2)) 1) x)) (atan (- (+ (* 1/2 (pow x 2)) 1) x)) (atan (- (+ (* 1/2 (pow x 2)) 1) x)) (- (+ (* 1/2 (pow x 2)) 1) x) (- (+ (* 1/2 (pow x 2)) 1) x) (- (+ (* 1/2 (pow x 2)) 1) x) 2.611 * * [simplify]: iteration 0: 75 enodes 2.630 * * [simplify]: iteration 1: 197 enodes 2.718 * * [simplify]: iteration 2: 613 enodes 2.991 * * [simplify]: iteration 3: 2004 enodes 3.568 * * [simplify]: iteration complete: 2004 enodes 3.568 * * [simplify]: Extracting #0: cost 33 inf + 0 3.568 * * [simplify]: Extracting #1: cost 235 inf + 0 3.570 * * [simplify]: Extracting #2: cost 593 inf + 132 3.577 * * [simplify]: Extracting #3: cost 596 inf + 34076 3.608 * * [simplify]: Extracting #4: cost 124 inf + 121109 3.639 * * [simplify]: Extracting #5: cost 11 inf + 146430 3.697 * * [simplify]: Extracting #6: cost 1 inf + 148926 3.755 * * [simplify]: Extracting #7: cost 0 inf + 149220 3.811 * [simplify]: Simplified to: (* 1/2 (* x x)) (* 1/2 (* x x)) (log (* 1/2 (* x x))) (log (* 1/2 (* x x))) (log (* 1/2 (* x x))) (sqrt (exp (* x x))) (* (* (* 1/2 (* x x)) (* 1/2 (* x x))) (* 1/2 (* x x))) (* (* (* 1/2 (* x x)) (* 1/2 (* x x))) (* 1/2 (* x x))) (* (cbrt (* 1/2 (* x x))) (cbrt (* 1/2 (* x x)))) (cbrt (* 1/2 (* x x))) (* (* (* 1/2 (* x x)) (* 1/2 (* x x))) (* 1/2 (* x x))) (sqrt (* 1/2 (* x x))) (sqrt (* 1/2 (* x x))) (* x (sqrt 1/2)) (* x (sqrt 1/2)) (* 1/2 x) (* (cbrt 1/2) (* x x)) (* (* x (sqrt 1/2)) x) (* 1/2 (* x x)) (real->posit16 (* 1/2 (* x x))) (log (atan (- (+ (* 1/2 (* x x)) 1) x))) (exp (atan (- (+ (* 1/2 (* x x)) 1) x))) (* (cbrt (atan (- (+ (* 1/2 (* x x)) 1) x))) (cbrt (atan (- (+ (* 1/2 (* x x)) 1) x)))) (cbrt (atan (- (+ (* 1/2 (* x x)) 1) x))) (* (atan (- (+ (* 1/2 (* x x)) 1) x)) (* (atan (- (+ (* 1/2 (* x x)) 1) x)) (atan (- (+ (* 1/2 (* x x)) 1) x)))) (sqrt (atan (- (+ (* 1/2 (* x x)) 1) x))) (sqrt (atan (- (+ (* 1/2 (* x x)) 1) x))) (real->posit16 (atan (- (+ (* 1/2 (* x x)) 1) x))) (exp (- (+ (* 1/2 (* x x)) 1) x)) (exp (- (+ (* 1/2 (* x x)) 1) x)) (log (- (+ (* 1/2 (* x x)) 1) x)) (exp (- (+ (* 1/2 (* x x)) 1) x)) (* (cbrt (- (+ (* 1/2 (* x x)) 1) x)) (cbrt (- (+ (* 1/2 (* x x)) 1) x))) (cbrt (- (+ (* 1/2 (* x x)) 1) x)) (* (* (- (+ (* 1/2 (* x x)) 1) x) (- (+ (* 1/2 (* x x)) 1) x)) (- (+ (* 1/2 (* x x)) 1) x)) (sqrt (- (+ (* 1/2 (* x x)) 1) x)) (sqrt (- (+ (* 1/2 (* x x)) 1) x)) (+ (* (- 1 x) (* (- 1 x) (- 1 x))) (* (* (* 1/2 (* x x)) (* 1/2 (* x x))) (* 1/2 (* x x)))) (- (* (- 1 x) (- 1 x)) (* (* 1/2 (* x x)) (- (- 1 x) (* 1/2 (* x x))))) (- (* (* (* x x) 1/4) (* x x)) (* (- 1 x) (- 1 x))) (+ (- (* 1/2 (* x x)) 1) x) (+ (* 1/2 (* x x)) 1) (+ (* 1/2 (* x x)) 1) (+ (* 1/2 (* x x)) 1) (real->posit16 (- (+ (* 1/2 (* x x)) 1) x)) (* 1/2 (* x x)) (* 1/2 (* x x)) (* 1/2 (* x x)) (atan (- (+ (* 1/2 (* x x)) 1) x)) (atan (- (+ (* 1/2 (* x x)) 1) x)) (atan (- (+ (* 1/2 (* x x)) 1) x)) (- (+ (* 1/2 (* x x)) 1) x) (- (+ (* 1/2 (* x x)) 1) x) (- (+ (* 1/2 (* x x)) 1) x) 3.817 * * * [progress]: adding candidates to table 4.284 * [progress]: [Phase 3 of 3] Extracting. 4.284 * * [regime]: Finding splitpoints for: (# #) 4.285 * * * [regime-changes]: Trying 5 branch expressions: ((/ (- 1 x) (+ 1 x)) (sqrt (/ (- 1 x) (+ 1 x))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) x) 4.285 * * * * [regimes]: Trying to branch on (/ (- 1 x) (+ 1 x)) from (# #) 4.299 * * * * [regimes]: Trying to branch on (sqrt (/ (- 1 x) (+ 1 x))) from (# #) 4.314 * * * * [regimes]: Trying to branch on (atan (sqrt (/ (- 1 x) (+ 1 x)))) from (# #) 4.333 * * * * [regimes]: Trying to branch on (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) from (# #) 4.350 * * * * [regimes]: Trying to branch on x from (# #) 4.366 * * * [regime]: Found split indices: #