0.623 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.079 * * * [progress]: [2/2] Setting up program. 0.083 * [progress]: [Phase 2 of 3] Improving. 0.085 * [simplify]: Simplifying: (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.088 * * [simplify]: Extracting # 0 : cost 0 0.088 * * [simplify]: Extracting # 1 : cost 0 0.088 * * [simplify]: Extracting # 2 : cost 0 0.088 * * [simplify]: Extracting # 3 : cost 0 0.088 * * [simplify]: Extracting # 4 : cost 0 0.088 * * [simplify]: Extracting # 5 : cost 0 0.088 * * [simplify]: Extracting # 6 : cost 0 0.088 * * [simplify]: Extracting # 7 : cost 0 0.088 * * [simplify]: iteration 0 : 9 enodes (cost 11 ) 0.093 * * [simplify]: Extracting # 0 : cost 0 0.093 * * [simplify]: Extracting # 1 : cost 0 0.093 * * [simplify]: Extracting # 2 : cost 0 0.093 * * [simplify]: iteration 1 : 16 enodes (cost 11 ) 0.095 * * [simplify]: Extracting # 0 : cost 0 0.095 * * [simplify]: Extracting # 1 : cost 0 0.095 * * [simplify]: Extracting # 2 : cost 0 0.095 * * [simplify]: iteration 2 : 19 enodes (cost 11 ) 0.098 * * [simplify]: Extracting # 0 : cost 0 0.098 * * [simplify]: iteration 3 : 21 enodes (cost 11 ) 0.101 * * [simplify]: Extracting # 0 : cost 0 0.101 * * [simplify]: iteration done: 21 enodes (cost 11 ) 0.133 * [simplify]: Simplified to: (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.134 * * [progress]: iteration 1 / 4 0.135 * * * [progress]: picking best candidate 0.140 * * * * [pick]: Picked # 0.140 * * * [progress]: localizing error 0.189 * * * [progress]: generating rewritten candidates 0.190 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 0.274 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 1) 0.366 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.378 * * * [progress]: generating series expansions 0.379 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 0.395 * [backup-simplify]: Simplify (sqrt (/ (- 1.0 x) (+ 1.0 x))) into (sqrt (/ (- 1.0 x) (+ x 1.0))) 0.395 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 0.396 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.396 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.396 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.396 * [taylor]: Taking taylor expansion of 1.0 in x 0.396 * [backup-simplify]: Simplify 1.0 into 1.0 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 1 into 1 0.397 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify 1 into 1 0.397 * [taylor]: Taking taylor expansion of 1.0 in x 0.397 * [backup-simplify]: Simplify 1.0 into 1.0 0.398 * [backup-simplify]: Simplify (- 0) into 0 0.398 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.399 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.399 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.399 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.400 * [backup-simplify]: Simplify (- 1) into -1 0.400 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.400 * [backup-simplify]: Simplify (+ 1 0) into 1 0.402 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 0.404 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 0.404 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.404 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.404 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.404 * [taylor]: Taking taylor expansion of 1.0 in x 0.404 * [backup-simplify]: Simplify 1.0 into 1.0 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify 1 into 1 0.404 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify 1 into 1 0.404 * [taylor]: Taking taylor expansion of 1.0 in x 0.404 * [backup-simplify]: Simplify 1.0 into 1.0 0.404 * [backup-simplify]: Simplify (- 0) into 0 0.405 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.405 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.405 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.405 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.406 * [backup-simplify]: Simplify (- 1) into -1 0.406 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.406 * [backup-simplify]: Simplify (+ 1 0) into 1 0.408 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 0.409 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 0.410 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.411 * [backup-simplify]: Simplify (/ -1.0 (sqrt 1.0)) into (/ -1.0 (sqrt 1.0)) 0.411 * [backup-simplify]: Simplify (- 0) into 0 0.412 * [backup-simplify]: Simplify (+ 0 0) into 0 0.412 * [backup-simplify]: Simplify (+ 0 0) into 0 0.415 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 0.419 * [backup-simplify]: Simplify (/ (- 2.0 (pow (/ -1.0 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) 0.424 * [backup-simplify]: Simplify (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) into (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) 0.433 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) (pow x 2)) (+ (* (/ -1.0 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) 0.434 * [backup-simplify]: Simplify (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) into (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) 0.434 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 0.434 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.434 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.434 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.434 * [taylor]: Taking taylor expansion of 1.0 in x 0.434 * [backup-simplify]: Simplify 1.0 into 1.0 0.434 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 1 into 1 0.435 * [backup-simplify]: Simplify (/ 1 1) into 1 0.435 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 1 into 1 0.435 * [backup-simplify]: Simplify (/ 1 1) into 1 0.435 * [taylor]: Taking taylor expansion of 1.0 in x 0.436 * [backup-simplify]: Simplify 1.0 into 1.0 0.436 * [backup-simplify]: Simplify (- 1) into -1 0.436 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.437 * [backup-simplify]: Simplify (+ 1 0) into 1 0.437 * [backup-simplify]: Simplify (/ -1 1) into -1 0.438 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.439 * [backup-simplify]: Simplify (- 0) into 0 0.440 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.441 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.444 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 0.446 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 0.446 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.446 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.446 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.446 * [taylor]: Taking taylor expansion of 1.0 in x 0.446 * [backup-simplify]: Simplify 1.0 into 1.0 0.446 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify 1 into 1 0.446 * [backup-simplify]: Simplify (/ 1 1) into 1 0.446 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.446 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify 1 into 1 0.447 * [backup-simplify]: Simplify (/ 1 1) into 1 0.447 * [taylor]: Taking taylor expansion of 1.0 in x 0.447 * [backup-simplify]: Simplify 1.0 into 1.0 0.447 * [backup-simplify]: Simplify (- 1) into -1 0.448 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.448 * [backup-simplify]: Simplify (+ 1 0) into 1 0.449 * [backup-simplify]: Simplify (/ -1 1) into -1 0.449 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.450 * [backup-simplify]: Simplify (- 0) into 0 0.451 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.452 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.455 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 0.456 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 0.456 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.457 * [backup-simplify]: Simplify (/ 1.0 (sqrt -1)) into (/ 1.0 (sqrt -1)) 0.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.458 * [backup-simplify]: Simplify (- 0) into 0 0.458 * [backup-simplify]: Simplify (+ 0 0) into 0 0.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (+ 0 0) into 0 0.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 0.465 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ 1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 0.470 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 0.476 * [backup-simplify]: Simplify (+ (* (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) (pow (/ 1 x) 2)) (+ (* (/ 1.0 (sqrt -1)) (/ 1 x)) (sqrt -1))) into (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) 0.476 * [backup-simplify]: Simplify (sqrt (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x))))) into (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) 0.476 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 0.476 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.476 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.476 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 1 into 1 0.476 * [backup-simplify]: Simplify (/ 1 1) into 1 0.476 * [taylor]: Taking taylor expansion of 1.0 in x 0.476 * [backup-simplify]: Simplify 1.0 into 1.0 0.476 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.476 * [taylor]: Taking taylor expansion of 1.0 in x 0.476 * [backup-simplify]: Simplify 1.0 into 1.0 0.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 1 into 1 0.477 * [backup-simplify]: Simplify (/ 1 1) into 1 0.477 * [backup-simplify]: Simplify (+ 1 0) into 1 0.477 * [backup-simplify]: Simplify (- 1) into -1 0.477 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.478 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.478 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (- 0) into 0 0.480 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.481 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 0.483 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 0.483 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.483 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.483 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.483 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify 1 into 1 0.483 * [backup-simplify]: Simplify (/ 1 1) into 1 0.483 * [taylor]: Taking taylor expansion of 1.0 in x 0.483 * [backup-simplify]: Simplify 1.0 into 1.0 0.483 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.483 * [taylor]: Taking taylor expansion of 1.0 in x 0.483 * [backup-simplify]: Simplify 1.0 into 1.0 0.483 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify 1 into 1 0.483 * [backup-simplify]: Simplify (/ 1 1) into 1 0.484 * [backup-simplify]: Simplify (+ 1 0) into 1 0.484 * [backup-simplify]: Simplify (- 1) into -1 0.485 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.485 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.485 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.487 * [backup-simplify]: Simplify (- 0) into 0 0.487 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.488 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 0.490 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 0.490 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.490 * [backup-simplify]: Simplify (/ -1.0 (sqrt -1)) into (/ -1.0 (sqrt -1)) 0.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.491 * [backup-simplify]: Simplify (+ 0 0) into 0 0.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.492 * [backup-simplify]: Simplify (- 0) into 0 0.492 * [backup-simplify]: Simplify (+ 0 0) into 0 0.502 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 0.506 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ -1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 0.511 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 0.516 * [backup-simplify]: Simplify (+ (* (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) (pow (/ 1 (- x)) 2)) (+ (* (/ -1.0 (sqrt -1)) (/ 1 (- x))) (sqrt -1))) into (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) 0.517 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 1) 0.517 * [backup-simplify]: Simplify (/ (- 1.0 x) (+ 1.0 x)) into (/ (- 1.0 x) (+ x 1.0)) 0.517 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 0.517 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.517 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.517 * [taylor]: Taking taylor expansion of 1.0 in x 0.517 * [backup-simplify]: Simplify 1.0 into 1.0 0.517 * [taylor]: Taking taylor expansion of x in x 0.517 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify 1 into 1 0.517 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.517 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify 1 into 1 0.517 * [taylor]: Taking taylor expansion of 1.0 in x 0.517 * [backup-simplify]: Simplify 1.0 into 1.0 0.518 * [backup-simplify]: Simplify (- 0) into 0 0.518 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.519 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.519 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.519 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.519 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.519 * [taylor]: Taking taylor expansion of 1.0 in x 0.519 * [backup-simplify]: Simplify 1.0 into 1.0 0.519 * [taylor]: Taking taylor expansion of x in x 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify 1 into 1 0.519 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify 1 into 1 0.519 * [taylor]: Taking taylor expansion of 1.0 in x 0.519 * [backup-simplify]: Simplify 1.0 into 1.0 0.520 * [backup-simplify]: Simplify (- 0) into 0 0.520 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.520 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.520 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.520 * [backup-simplify]: Simplify 1.0 into 1.0 0.521 * [backup-simplify]: Simplify (- 1) into -1 0.521 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.521 * [backup-simplify]: Simplify (+ 1 0) into 1 0.523 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 0.523 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.523 * [backup-simplify]: Simplify (- 0) into 0 0.524 * [backup-simplify]: Simplify (+ 0 0) into 0 0.524 * [backup-simplify]: Simplify (+ 0 0) into 0 0.527 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 0.527 * [backup-simplify]: Simplify 2.0 into 2.0 0.527 * [backup-simplify]: Simplify (+ (* 2.0 (pow x 2)) (+ (* (- 2.0) x) 1.0)) into (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) 0.527 * [backup-simplify]: Simplify (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) into (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) 0.527 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.527 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.527 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.527 * [taylor]: Taking taylor expansion of 1.0 in x 0.527 * [backup-simplify]: Simplify 1.0 into 1.0 0.527 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.527 * [taylor]: Taking taylor expansion of x in x 0.527 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify 1 into 1 0.528 * [backup-simplify]: Simplify (/ 1 1) into 1 0.528 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.528 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.528 * [taylor]: Taking taylor expansion of x in x 0.528 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify 1 into 1 0.528 * [backup-simplify]: Simplify (/ 1 1) into 1 0.528 * [taylor]: Taking taylor expansion of 1.0 in x 0.528 * [backup-simplify]: Simplify 1.0 into 1.0 0.528 * [backup-simplify]: Simplify (- 1) into -1 0.529 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.529 * [backup-simplify]: Simplify (+ 1 0) into 1 0.529 * [backup-simplify]: Simplify (/ -1 1) into -1 0.529 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.529 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.529 * [taylor]: Taking taylor expansion of 1.0 in x 0.529 * [backup-simplify]: Simplify 1.0 into 1.0 0.529 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.529 * [taylor]: Taking taylor expansion of x in x 0.529 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify 1 into 1 0.530 * [backup-simplify]: Simplify (/ 1 1) into 1 0.530 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.530 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.530 * [taylor]: Taking taylor expansion of x in x 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify 1 into 1 0.530 * [backup-simplify]: Simplify (/ 1 1) into 1 0.530 * [taylor]: Taking taylor expansion of 1.0 in x 0.530 * [backup-simplify]: Simplify 1.0 into 1.0 0.530 * [backup-simplify]: Simplify (- 1) into -1 0.531 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.531 * [backup-simplify]: Simplify (+ 1 0) into 1 0.531 * [backup-simplify]: Simplify (/ -1 1) into -1 0.532 * [backup-simplify]: Simplify -1 into -1 0.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.533 * [backup-simplify]: Simplify (- 0) into 0 0.533 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.534 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.537 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 0.537 * [backup-simplify]: Simplify 2.0 into 2.0 0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.539 * [backup-simplify]: Simplify (- 0) into 0 0.539 * [backup-simplify]: Simplify (+ 0 0) into 0 0.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.540 * [backup-simplify]: Simplify (+ 0 0) into 0 0.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 0.545 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.546 * [backup-simplify]: Simplify (+ (* (- 2.0) (pow (/ 1 x) 2)) (+ (* 2.0 (/ 1 x)) -1)) into (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) 0.547 * [backup-simplify]: Simplify (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x)))) into (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) 0.547 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 0.547 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.547 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.547 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify 1 into 1 0.547 * [backup-simplify]: Simplify (/ 1 1) into 1 0.547 * [taylor]: Taking taylor expansion of 1.0 in x 0.547 * [backup-simplify]: Simplify 1.0 into 1.0 0.547 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.547 * [taylor]: Taking taylor expansion of 1.0 in x 0.547 * [backup-simplify]: Simplify 1.0 into 1.0 0.547 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify 1 into 1 0.548 * [backup-simplify]: Simplify (/ 1 1) into 1 0.548 * [backup-simplify]: Simplify (+ 1 0) into 1 0.549 * [backup-simplify]: Simplify (- 1) into -1 0.549 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.549 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.549 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.550 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify 1 into 1 0.550 * [backup-simplify]: Simplify (/ 1 1) into 1 0.550 * [taylor]: Taking taylor expansion of 1.0 in x 0.550 * [backup-simplify]: Simplify 1.0 into 1.0 0.550 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.550 * [taylor]: Taking taylor expansion of 1.0 in x 0.550 * [backup-simplify]: Simplify 1.0 into 1.0 0.550 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify 1 into 1 0.551 * [backup-simplify]: Simplify (/ 1 1) into 1 0.551 * [backup-simplify]: Simplify (+ 1 0) into 1 0.551 * [backup-simplify]: Simplify (- 1) into -1 0.552 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.552 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.552 * [backup-simplify]: Simplify -1 into -1 0.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.554 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.555 * [backup-simplify]: Simplify (- 0) into 0 0.555 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.558 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 0.558 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.560 * [backup-simplify]: Simplify (+ 0 0) into 0 0.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.561 * [backup-simplify]: Simplify (- 0) into 0 0.561 * [backup-simplify]: Simplify (+ 0 0) into 0 0.567 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 0.567 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.568 * [backup-simplify]: Simplify (+ (* (- 2.0) (pow (/ 1 (- x)) 2)) (+ (* (- 2.0) (/ 1 (- x))) -1)) into (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) 0.568 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.569 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.569 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 0.569 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.571 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.571 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.571 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.571 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.571 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.572 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 0.572 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 0.572 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.573 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) 0.573 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.573 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) 0.573 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 0.573 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 (/ 1 x))) (+ (/ 1 (/ 1 x)) 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.574 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x)))))) into (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 0.574 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 0.574 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.574 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) into (atan (sqrt (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) 0.574 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.575 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) into (atan (sqrt (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) 0.575 * [backup-simplify]: Simplify (atan (sqrt (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 (/ 1 (- x))) 1.0) (- 1.0 (/ 1 (/ 1 (- x))))))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.576 * * * [progress]: simplifying candidates 0.579 * [simplify]: Simplifying: (log (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (exp (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (* (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt 1) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) (/ 1 2) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (- (log (- 1.0 x)) (log (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (exp (/ (- 1.0 x) (+ 1.0 x))) (/ (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x)) (* (* (+ 1.0 x) (+ 1.0 x)) (+ 1.0 x))) (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (+ 1.0 x))) (* (* (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x))) (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (- (- 1.0 x)) (- (+ 1.0 x)) (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 (+ 1.0 x)) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ (- 1.0 x) 1) (/ (- 1.0 x) 1) (/ (+ 1.0 x) (cbrt (- 1.0 x))) (/ (+ 1.0 x) (sqrt (- 1.0 x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (+ 1.0 x) (- (sqrt 1.0) (sqrt x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (* (+ 1.0 x) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* (+ 1.0 x) (+ 1.0 x)) (log (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (* (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.584 * * [simplify]: Extracting # 0 : cost 0 0.584 * * [simplify]: Extracting # 1 : cost 0 0.584 * * [simplify]: Extracting # 2 : cost 0 0.585 * * [simplify]: Extracting # 3 : cost 0 0.585 * * [simplify]: Extracting # 4 : cost 0 0.585 * * [simplify]: Extracting # 5 : cost 0 0.586 * * [simplify]: Extracting # 6 : cost 0 0.586 * * [simplify]: Extracting # 7 : cost 0 0.587 * * [simplify]: Extracting # 8 : cost 0 0.587 * * [simplify]: Extracting # 9 : cost 0 0.588 * * [simplify]: iteration 0 : 167 enodes (cost 1451 ) 0.668 * * [simplify]: Extracting # 0 : cost 0 0.669 * * [simplify]: Extracting # 1 : cost 0 0.670 * * [simplify]: Extracting # 2 : cost 0 0.671 * * [simplify]: Extracting # 3 : cost 0 0.671 * * [simplify]: Extracting # 4 : cost 0 0.672 * * [simplify]: iteration 1 : 356 enodes (cost 1376 ) 0.875 * * [simplify]: Extracting # 0 : cost 0 0.876 * * [simplify]: Extracting # 1 : cost 0 0.877 * * [simplify]: Extracting # 2 : cost 0 0.878 * * [simplify]: Extracting # 3 : cost 0 0.879 * * [simplify]: iteration 2 : 866 enodes (cost 1284 ) 1.333 * * [simplify]: Extracting # 0 : cost 0 1.337 * * [simplify]: Extracting # 1 : cost 0 1.342 * * [simplify]: Extracting # 2 : cost 0 1.346 * * [simplify]: Extracting # 3 : cost 0 1.350 * * [simplify]: Extracting # 4 : cost 0 1.354 * * [simplify]: iteration 3 : 2144 enodes (cost 1268 ) 2.477 * * [simplify]: Extracting # 0 : cost 0 2.483 * * [simplify]: Extracting # 1 : cost 0 2.489 * * [simplify]: Extracting # 2 : cost 0 2.494 * * [simplify]: Extracting # 3 : cost 0 2.500 * * [simplify]: Extracting # 4 : cost 0 2.505 * * [simplify]: iteration done: 5000 enodes (cost 1252 ) 2.506 * [simplify]: Simplified to: (log (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (exp (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3) (fabs (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (fabs (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (fabs (cbrt (- 1.0 x))) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (fabs (cbrt (- 1.0 x))) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (sqrt (- 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (sqrt (- 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) 1 (sqrt (/ (- 1.0 x) (+ 1.0 x))) 1 (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) 1 (sqrt (/ (- 1.0 x) (+ 1.0 x))) 1 (sqrt (/ (- 1.0 x) (+ 1.0 x))) 1 (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))) (sqrt (+ (* x (- x 1.0)) (* 1.0 1.0))) (sqrt (/ 1 (+ 1.0 x))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) 1/2 (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log (/ (- 1.0 x) (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (exp (/ (- 1.0 x) (+ 1.0 x))) (pow (/ (- 1.0 x) (+ 1.0 x)) 3) (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (+ 1.0 x))) (pow (/ (- 1.0 x) (+ 1.0 x)) 3) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (- x 1.0) (- (+ 1.0 x)) (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) 1 (/ (- 1.0 x) (+ 1.0 x)) 1 (/ (- 1.0 x) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) 1 (/ (- 1.0 x) (+ 1.0 x)) 1 (/ (- 1.0 x) (+ 1.0 x)) (/ 1 (+ 1.0 x)) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (- 1.0 x) (- 1.0 x) (/ (+ 1.0 x) (cbrt (- 1.0 x))) (/ (+ 1.0 x) (sqrt (- 1.0 x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (+ 1.0 x) (- (sqrt 1.0) (sqrt x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (/ 1 (+ 1.0 x)) (* (+ x 1.0) (+ (* 1.0 1.0) (* x (+ 1.0 x)))) (* (+ 1.0 x) (+ 1.0 x)) (log (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (- (+ (* (/ (pow x 2) (sqrt 1.0)) (- 1.0 (/ 0.5 1.0))) (sqrt 1.0)) (* 1.0 (/ x (sqrt 1.0)))) (- (+ (/ 1.0 (* x (sqrt -1))) (sqrt -1)) (* (/ 1 (* (pow x 2) (sqrt -1))) (+ 1.0 (/ 0.5 -1)))) (- (+ (/ 1.0 (* x (sqrt -1))) (sqrt -1)) (* (/ 1 (* (pow x 2) (sqrt -1))) (+ 1.0 (/ 0.5 -1)))) (+ 1.0 (* x (- (* 2.0 x) 2.0))) (- (/ 2.0 x) (+ 1 (/ 2.0 (* x x)))) (- (/ 2.0 x) (+ 1 (/ 2.0 (* x x)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 2.507 * * * [progress]: adding candidates to table 2.823 * * [progress]: iteration 2 / 4 2.823 * * * [progress]: picking best candidate 2.828 * * * * [pick]: Picked # 2.828 * * * [progress]: localizing error 2.848 * * * [progress]: generating rewritten candidates 2.848 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 2.877 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 2.977 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.977 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1) 2.993 * * * [progress]: generating series expansions 2.993 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 2.993 * [backup-simplify]: Simplify (sqrt (* (/ 1 (+ 1.0 x)) (- 1.0 x))) into (sqrt (/ (- 1.0 x) (+ x 1.0))) 2.993 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 2.993 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 2.993 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 2.993 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 2.993 * [taylor]: Taking taylor expansion of 1.0 in x 2.993 * [backup-simplify]: Simplify 1.0 into 1.0 2.993 * [taylor]: Taking taylor expansion of x in x 2.993 * [backup-simplify]: Simplify 0 into 0 2.993 * [backup-simplify]: Simplify 1 into 1 2.993 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.994 * [taylor]: Taking taylor expansion of x in x 2.994 * [backup-simplify]: Simplify 0 into 0 2.994 * [backup-simplify]: Simplify 1 into 1 2.994 * [taylor]: Taking taylor expansion of 1.0 in x 2.994 * [backup-simplify]: Simplify 1.0 into 1.0 2.994 * [backup-simplify]: Simplify (- 0) into 0 2.994 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.995 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.995 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 2.995 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.995 * [backup-simplify]: Simplify (- 1) into -1 2.996 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.996 * [backup-simplify]: Simplify (+ 1 0) into 1 2.998 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 2.999 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 2.999 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 2.999 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 2.999 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 2.999 * [taylor]: Taking taylor expansion of 1.0 in x 2.999 * [backup-simplify]: Simplify 1.0 into 1.0 2.999 * [taylor]: Taking taylor expansion of x in x 2.999 * [backup-simplify]: Simplify 0 into 0 2.999 * [backup-simplify]: Simplify 1 into 1 2.999 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.999 * [taylor]: Taking taylor expansion of x in x 2.999 * [backup-simplify]: Simplify 0 into 0 2.999 * [backup-simplify]: Simplify 1 into 1 2.999 * [taylor]: Taking taylor expansion of 1.0 in x 2.999 * [backup-simplify]: Simplify 1.0 into 1.0 3.000 * [backup-simplify]: Simplify (- 0) into 0 3.000 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.000 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.000 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 3.001 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.001 * [backup-simplify]: Simplify (- 1) into -1 3.001 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.001 * [backup-simplify]: Simplify (+ 1 0) into 1 3.004 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 3.006 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 3.006 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.007 * [backup-simplify]: Simplify (/ -1.0 (sqrt 1.0)) into (/ -1.0 (sqrt 1.0)) 3.008 * [backup-simplify]: Simplify (- 0) into 0 3.008 * [backup-simplify]: Simplify (+ 0 0) into 0 3.008 * [backup-simplify]: Simplify (+ 0 0) into 0 3.013 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 3.019 * [backup-simplify]: Simplify (/ (- 2.0 (pow (/ -1.0 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) 3.026 * [backup-simplify]: Simplify (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) into (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) 3.031 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) (pow x 2)) (+ (* (/ -1.0 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) 3.031 * [backup-simplify]: Simplify (sqrt (* (/ 1 (+ 1.0 (/ 1 x))) (- 1.0 (/ 1 x)))) into (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) 3.031 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 3.031 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 3.031 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 3.031 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.031 * [taylor]: Taking taylor expansion of 1.0 in x 3.031 * [backup-simplify]: Simplify 1.0 into 1.0 3.031 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.031 * [taylor]: Taking taylor expansion of x in x 3.031 * [backup-simplify]: Simplify 0 into 0 3.031 * [backup-simplify]: Simplify 1 into 1 3.031 * [backup-simplify]: Simplify (/ 1 1) into 1 3.032 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.032 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.032 * [taylor]: Taking taylor expansion of x in x 3.032 * [backup-simplify]: Simplify 0 into 0 3.032 * [backup-simplify]: Simplify 1 into 1 3.032 * [backup-simplify]: Simplify (/ 1 1) into 1 3.032 * [taylor]: Taking taylor expansion of 1.0 in x 3.032 * [backup-simplify]: Simplify 1.0 into 1.0 3.032 * [backup-simplify]: Simplify (- 1) into -1 3.032 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.033 * [backup-simplify]: Simplify (+ 1 0) into 1 3.033 * [backup-simplify]: Simplify (/ -1 1) into -1 3.033 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.034 * [backup-simplify]: Simplify (- 0) into 0 3.034 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.035 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.036 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 3.037 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 3.037 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 3.037 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 3.037 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.037 * [taylor]: Taking taylor expansion of 1.0 in x 3.037 * [backup-simplify]: Simplify 1.0 into 1.0 3.037 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.037 * [taylor]: Taking taylor expansion of x in x 3.037 * [backup-simplify]: Simplify 0 into 0 3.037 * [backup-simplify]: Simplify 1 into 1 3.038 * [backup-simplify]: Simplify (/ 1 1) into 1 3.038 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.038 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.038 * [taylor]: Taking taylor expansion of x in x 3.038 * [backup-simplify]: Simplify 0 into 0 3.038 * [backup-simplify]: Simplify 1 into 1 3.038 * [backup-simplify]: Simplify (/ 1 1) into 1 3.038 * [taylor]: Taking taylor expansion of 1.0 in x 3.038 * [backup-simplify]: Simplify 1.0 into 1.0 3.038 * [backup-simplify]: Simplify (- 1) into -1 3.039 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.039 * [backup-simplify]: Simplify (+ 1 0) into 1 3.039 * [backup-simplify]: Simplify (/ -1 1) into -1 3.039 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.040 * [backup-simplify]: Simplify (- 0) into 0 3.040 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.041 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.043 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 3.043 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 3.044 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.044 * [backup-simplify]: Simplify (/ 1.0 (sqrt -1)) into (/ 1.0 (sqrt -1)) 3.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.045 * [backup-simplify]: Simplify (- 0) into 0 3.046 * [backup-simplify]: Simplify (+ 0 0) into 0 3.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.046 * [backup-simplify]: Simplify (+ 0 0) into 0 3.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 3.064 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ 1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 3.072 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 3.081 * [backup-simplify]: Simplify (+ (* (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) (pow (/ 1 x) 2)) (+ (* (/ 1.0 (sqrt -1)) (/ 1 x)) (sqrt -1))) into (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) 3.081 * [backup-simplify]: Simplify (sqrt (* (/ 1 (+ 1.0 (/ 1 (- x)))) (- 1.0 (/ 1 (- x))))) into (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) 3.081 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 3.081 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 3.081 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 3.081 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.081 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.081 * [taylor]: Taking taylor expansion of x in x 3.082 * [backup-simplify]: Simplify 0 into 0 3.082 * [backup-simplify]: Simplify 1 into 1 3.082 * [backup-simplify]: Simplify (/ 1 1) into 1 3.082 * [taylor]: Taking taylor expansion of 1.0 in x 3.082 * [backup-simplify]: Simplify 1.0 into 1.0 3.082 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.082 * [taylor]: Taking taylor expansion of 1.0 in x 3.082 * [backup-simplify]: Simplify 1.0 into 1.0 3.082 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.082 * [taylor]: Taking taylor expansion of x in x 3.082 * [backup-simplify]: Simplify 0 into 0 3.082 * [backup-simplify]: Simplify 1 into 1 3.083 * [backup-simplify]: Simplify (/ 1 1) into 1 3.083 * [backup-simplify]: Simplify (+ 1 0) into 1 3.083 * [backup-simplify]: Simplify (- 1) into -1 3.084 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.084 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.085 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.086 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.087 * [backup-simplify]: Simplify (- 0) into 0 3.087 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.090 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 3.091 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 3.091 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 3.091 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 3.091 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.091 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.091 * [taylor]: Taking taylor expansion of x in x 3.091 * [backup-simplify]: Simplify 0 into 0 3.091 * [backup-simplify]: Simplify 1 into 1 3.092 * [backup-simplify]: Simplify (/ 1 1) into 1 3.092 * [taylor]: Taking taylor expansion of 1.0 in x 3.092 * [backup-simplify]: Simplify 1.0 into 1.0 3.092 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.092 * [taylor]: Taking taylor expansion of 1.0 in x 3.092 * [backup-simplify]: Simplify 1.0 into 1.0 3.092 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.092 * [taylor]: Taking taylor expansion of x in x 3.092 * [backup-simplify]: Simplify 0 into 0 3.092 * [backup-simplify]: Simplify 1 into 1 3.092 * [backup-simplify]: Simplify (/ 1 1) into 1 3.092 * [backup-simplify]: Simplify (+ 1 0) into 1 3.093 * [backup-simplify]: Simplify (- 1) into -1 3.093 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.093 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.093 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.094 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.095 * [backup-simplify]: Simplify (- 0) into 0 3.095 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.096 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 3.098 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 3.098 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.099 * [backup-simplify]: Simplify (/ -1.0 (sqrt -1)) into (/ -1.0 (sqrt -1)) 3.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.099 * [backup-simplify]: Simplify (+ 0 0) into 0 3.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.100 * [backup-simplify]: Simplify (- 0) into 0 3.100 * [backup-simplify]: Simplify (+ 0 0) into 0 3.103 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 3.106 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ -1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 3.111 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 3.120 * [backup-simplify]: Simplify (+ (* (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) (pow (/ 1 (- x)) 2)) (+ (* (/ -1.0 (sqrt -1)) (/ 1 (- x))) (sqrt -1))) into (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) 3.120 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 3.120 * [backup-simplify]: Simplify (* (/ 1 (+ 1.0 x)) (- 1.0 x)) into (/ (- 1.0 x) (+ x 1.0)) 3.120 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 3.120 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 3.120 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 3.120 * [taylor]: Taking taylor expansion of 1.0 in x 3.120 * [backup-simplify]: Simplify 1.0 into 1.0 3.120 * [taylor]: Taking taylor expansion of x in x 3.120 * [backup-simplify]: Simplify 0 into 0 3.120 * [backup-simplify]: Simplify 1 into 1 3.120 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.120 * [taylor]: Taking taylor expansion of x in x 3.120 * [backup-simplify]: Simplify 0 into 0 3.120 * [backup-simplify]: Simplify 1 into 1 3.121 * [taylor]: Taking taylor expansion of 1.0 in x 3.121 * [backup-simplify]: Simplify 1.0 into 1.0 3.121 * [backup-simplify]: Simplify (- 0) into 0 3.121 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.122 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.123 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 3.123 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 3.123 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 3.123 * [taylor]: Taking taylor expansion of 1.0 in x 3.123 * [backup-simplify]: Simplify 1.0 into 1.0 3.123 * [taylor]: Taking taylor expansion of x in x 3.123 * [backup-simplify]: Simplify 0 into 0 3.123 * [backup-simplify]: Simplify 1 into 1 3.123 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.123 * [taylor]: Taking taylor expansion of x in x 3.123 * [backup-simplify]: Simplify 0 into 0 3.123 * [backup-simplify]: Simplify 1 into 1 3.123 * [taylor]: Taking taylor expansion of 1.0 in x 3.123 * [backup-simplify]: Simplify 1.0 into 1.0 3.123 * [backup-simplify]: Simplify (- 0) into 0 3.124 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.124 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.124 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 3.125 * [backup-simplify]: Simplify 1.0 into 1.0 3.125 * [backup-simplify]: Simplify (- 1) into -1 3.125 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.126 * [backup-simplify]: Simplify (+ 1 0) into 1 3.128 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 3.129 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 3.129 * [backup-simplify]: Simplify (- 0) into 0 3.129 * [backup-simplify]: Simplify (+ 0 0) into 0 3.130 * [backup-simplify]: Simplify (+ 0 0) into 0 3.135 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 3.135 * [backup-simplify]: Simplify 2.0 into 2.0 3.135 * [backup-simplify]: Simplify (+ (* 2.0 (pow x 2)) (+ (* (- 2.0) x) 1.0)) into (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) 3.136 * [backup-simplify]: Simplify (* (/ 1 (+ 1.0 (/ 1 x))) (- 1.0 (/ 1 x))) into (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) 3.136 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 3.136 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 3.136 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.136 * [taylor]: Taking taylor expansion of 1.0 in x 3.136 * [backup-simplify]: Simplify 1.0 into 1.0 3.136 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.136 * [taylor]: Taking taylor expansion of x in x 3.136 * [backup-simplify]: Simplify 0 into 0 3.136 * [backup-simplify]: Simplify 1 into 1 3.136 * [backup-simplify]: Simplify (/ 1 1) into 1 3.136 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.136 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.136 * [taylor]: Taking taylor expansion of x in x 3.136 * [backup-simplify]: Simplify 0 into 0 3.136 * [backup-simplify]: Simplify 1 into 1 3.137 * [backup-simplify]: Simplify (/ 1 1) into 1 3.137 * [taylor]: Taking taylor expansion of 1.0 in x 3.137 * [backup-simplify]: Simplify 1.0 into 1.0 3.137 * [backup-simplify]: Simplify (- 1) into -1 3.138 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.138 * [backup-simplify]: Simplify (+ 1 0) into 1 3.138 * [backup-simplify]: Simplify (/ -1 1) into -1 3.138 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 3.138 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.138 * [taylor]: Taking taylor expansion of 1.0 in x 3.138 * [backup-simplify]: Simplify 1.0 into 1.0 3.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.139 * [taylor]: Taking taylor expansion of x in x 3.139 * [backup-simplify]: Simplify 0 into 0 3.139 * [backup-simplify]: Simplify 1 into 1 3.139 * [backup-simplify]: Simplify (/ 1 1) into 1 3.139 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.139 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.139 * [taylor]: Taking taylor expansion of x in x 3.139 * [backup-simplify]: Simplify 0 into 0 3.139 * [backup-simplify]: Simplify 1 into 1 3.139 * [backup-simplify]: Simplify (/ 1 1) into 1 3.139 * [taylor]: Taking taylor expansion of 1.0 in x 3.139 * [backup-simplify]: Simplify 1.0 into 1.0 3.140 * [backup-simplify]: Simplify (- 1) into -1 3.140 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.141 * [backup-simplify]: Simplify (+ 1 0) into 1 3.141 * [backup-simplify]: Simplify (/ -1 1) into -1 3.141 * [backup-simplify]: Simplify -1 into -1 3.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.142 * [backup-simplify]: Simplify (- 0) into 0 3.143 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.144 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.147 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 3.147 * [backup-simplify]: Simplify 2.0 into 2.0 3.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.148 * [backup-simplify]: Simplify (- 0) into 0 3.148 * [backup-simplify]: Simplify (+ 0 0) into 0 3.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.149 * [backup-simplify]: Simplify (+ 0 0) into 0 3.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 3.154 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 3.155 * [backup-simplify]: Simplify (+ (* (- 2.0) (pow (/ 1 x) 2)) (+ (* 2.0 (/ 1 x)) -1)) into (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) 3.155 * [backup-simplify]: Simplify (* (/ 1 (+ 1.0 (/ 1 (- x)))) (- 1.0 (/ 1 (- x)))) into (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) 3.155 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 3.155 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 3.155 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.155 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.155 * [taylor]: Taking taylor expansion of x in x 3.155 * [backup-simplify]: Simplify 0 into 0 3.155 * [backup-simplify]: Simplify 1 into 1 3.156 * [backup-simplify]: Simplify (/ 1 1) into 1 3.156 * [taylor]: Taking taylor expansion of 1.0 in x 3.156 * [backup-simplify]: Simplify 1.0 into 1.0 3.156 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.156 * [taylor]: Taking taylor expansion of 1.0 in x 3.156 * [backup-simplify]: Simplify 1.0 into 1.0 3.156 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.156 * [taylor]: Taking taylor expansion of x in x 3.156 * [backup-simplify]: Simplify 0 into 0 3.156 * [backup-simplify]: Simplify 1 into 1 3.156 * [backup-simplify]: Simplify (/ 1 1) into 1 3.157 * [backup-simplify]: Simplify (+ 1 0) into 1 3.157 * [backup-simplify]: Simplify (- 1) into -1 3.157 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.158 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.158 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 3.158 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.158 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.158 * [taylor]: Taking taylor expansion of x in x 3.158 * [backup-simplify]: Simplify 0 into 0 3.158 * [backup-simplify]: Simplify 1 into 1 3.158 * [backup-simplify]: Simplify (/ 1 1) into 1 3.158 * [taylor]: Taking taylor expansion of 1.0 in x 3.158 * [backup-simplify]: Simplify 1.0 into 1.0 3.158 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.158 * [taylor]: Taking taylor expansion of 1.0 in x 3.158 * [backup-simplify]: Simplify 1.0 into 1.0 3.159 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.159 * [taylor]: Taking taylor expansion of x in x 3.159 * [backup-simplify]: Simplify 0 into 0 3.159 * [backup-simplify]: Simplify 1 into 1 3.159 * [backup-simplify]: Simplify (/ 1 1) into 1 3.159 * [backup-simplify]: Simplify (+ 1 0) into 1 3.160 * [backup-simplify]: Simplify (- 1) into -1 3.160 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.160 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.161 * [backup-simplify]: Simplify -1 into -1 3.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.162 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.163 * [backup-simplify]: Simplify (- 0) into 0 3.163 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.166 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 3.166 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 3.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.167 * [backup-simplify]: Simplify (+ 0 0) into 0 3.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.168 * [backup-simplify]: Simplify (- 0) into 0 3.169 * [backup-simplify]: Simplify (+ 0 0) into 0 3.174 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 3.174 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 3.175 * [backup-simplify]: Simplify (+ (* (- 2.0) (pow (/ 1 (- x)) 2)) (+ (* (- 2.0) (/ 1 (- x))) -1)) into (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) 3.175 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 3.176 * [backup-simplify]: Simplify (atan (sqrt (* (/ 1 (+ 1.0 x)) (- 1.0 x)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3.176 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 3.176 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 3.176 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3.176 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 3.176 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3.176 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3.177 * [backup-simplify]: Simplify 0 into 0 3.177 * [backup-simplify]: Simplify 0 into 0 3.177 * [backup-simplify]: Simplify 0 into 0 3.177 * [backup-simplify]: Simplify 0 into 0 3.177 * [backup-simplify]: Simplify 0 into 0 3.177 * [backup-simplify]: Simplify 0 into 0 3.177 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3.177 * [backup-simplify]: Simplify (atan (sqrt (* (/ 1 (+ 1.0 (/ 1 x))) (- 1.0 (/ 1 x))))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 3.177 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 3.177 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 3.178 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) 3.178 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 3.178 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) 3.178 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 3.178 * [backup-simplify]: Simplify 0 into 0 3.178 * [backup-simplify]: Simplify 0 into 0 3.178 * [backup-simplify]: Simplify 0 into 0 3.178 * [backup-simplify]: Simplify 0 into 0 3.178 * [backup-simplify]: Simplify 0 into 0 3.178 * [backup-simplify]: Simplify 0 into 0 3.179 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 (/ 1 x))) (+ (/ 1 (/ 1 x)) 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3.179 * [backup-simplify]: Simplify (atan (sqrt (* (/ 1 (+ 1.0 (/ 1 (- x)))) (- 1.0 (/ 1 (- x)))))) into (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 3.179 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 3.179 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 3.179 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) into (atan (sqrt (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) 3.179 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 3.179 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) into (atan (sqrt (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) 3.179 * [backup-simplify]: Simplify (atan (sqrt (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 3.179 * [backup-simplify]: Simplify 0 into 0 3.179 * [backup-simplify]: Simplify 0 into 0 3.179 * [backup-simplify]: Simplify 0 into 0 3.179 * [backup-simplify]: Simplify 0 into 0 3.179 * [backup-simplify]: Simplify 0 into 0 3.179 * [backup-simplify]: Simplify 0 into 0 3.180 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 (/ 1 (- x))) 1.0) (- 1.0 (/ 1 (/ 1 (- x))))))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3.180 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1) 3.180 * [backup-simplify]: Simplify (/ 1 (+ 1.0 x)) into (/ 1 (+ x 1.0)) 3.180 * [approximate]: Taking taylor expansion of (/ 1 (+ x 1.0)) in (x) around 0 3.180 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 3.180 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.180 * [taylor]: Taking taylor expansion of x in x 3.180 * [backup-simplify]: Simplify 0 into 0 3.180 * [backup-simplify]: Simplify 1 into 1 3.180 * [taylor]: Taking taylor expansion of 1.0 in x 3.180 * [backup-simplify]: Simplify 1.0 into 1.0 3.185 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.186 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 3.186 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 3.186 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.186 * [taylor]: Taking taylor expansion of x in x 3.186 * [backup-simplify]: Simplify 0 into 0 3.186 * [backup-simplify]: Simplify 1 into 1 3.186 * [taylor]: Taking taylor expansion of 1.0 in x 3.186 * [backup-simplify]: Simplify 1.0 into 1.0 3.186 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.187 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 3.187 * [backup-simplify]: Simplify 1.0 into 1.0 3.187 * [backup-simplify]: Simplify (+ 1 0) into 1 3.189 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 1 1.0)))) into (- 1.0) 3.189 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.189 * [backup-simplify]: Simplify (+ 0 0) into 0 3.191 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 0 1.0)) (* (- 1.0) (/ 1 1.0)))) into 1.0 3.191 * [backup-simplify]: Simplify 1.0 into 1.0 3.192 * [backup-simplify]: Simplify (+ (* 1.0 (pow x 2)) (+ (* (- 1.0) x) 1.0)) into (- (+ (* 1.0 (pow x 2)) 1.0) (* 1.0 x)) 3.192 * [backup-simplify]: Simplify (/ 1 (+ 1.0 (/ 1 x))) into (/ 1 (+ (/ 1 x) 1.0)) 3.192 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in (x) around 0 3.192 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 3.192 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.192 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.192 * [taylor]: Taking taylor expansion of x in x 3.192 * [backup-simplify]: Simplify 0 into 0 3.192 * [backup-simplify]: Simplify 1 into 1 3.192 * [backup-simplify]: Simplify (/ 1 1) into 1 3.192 * [taylor]: Taking taylor expansion of 1.0 in x 3.192 * [backup-simplify]: Simplify 1.0 into 1.0 3.193 * [backup-simplify]: Simplify (+ 1 0) into 1 3.193 * [backup-simplify]: Simplify (/ 1 1) into 1 3.193 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 3.193 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.193 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.193 * [taylor]: Taking taylor expansion of x in x 3.193 * [backup-simplify]: Simplify 0 into 0 3.193 * [backup-simplify]: Simplify 1 into 1 3.193 * [backup-simplify]: Simplify (/ 1 1) into 1 3.193 * [taylor]: Taking taylor expansion of 1.0 in x 3.193 * [backup-simplify]: Simplify 1.0 into 1.0 3.194 * [backup-simplify]: Simplify (+ 1 0) into 1 3.194 * [backup-simplify]: Simplify (/ 1 1) into 1 3.194 * [backup-simplify]: Simplify 1 into 1 3.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.195 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1.0 1)))) into (- 1.0) 3.196 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.197 * [backup-simplify]: Simplify (+ 0 0) into 0 3.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 1.0 1)))) into 1.0 3.199 * [backup-simplify]: Simplify 1.0 into 1.0 3.200 * [backup-simplify]: Simplify (+ (* 1.0 (pow (/ 1 x) 3)) (+ (* (- 1.0) (pow (/ 1 x) 2)) (* 1 (/ 1 x)))) into (- (+ (/ 1 x) (* 1.0 (/ 1 (pow x 3)))) (* 1.0 (/ 1 (pow x 2)))) 3.200 * [backup-simplify]: Simplify (/ 1 (+ 1.0 (/ 1 (- x)))) into (/ 1 (- 1.0 (/ 1 x))) 3.200 * [approximate]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in (x) around 0 3.200 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 3.200 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.200 * [taylor]: Taking taylor expansion of 1.0 in x 3.200 * [backup-simplify]: Simplify 1.0 into 1.0 3.200 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.200 * [taylor]: Taking taylor expansion of x in x 3.200 * [backup-simplify]: Simplify 0 into 0 3.200 * [backup-simplify]: Simplify 1 into 1 3.200 * [backup-simplify]: Simplify (/ 1 1) into 1 3.201 * [backup-simplify]: Simplify (- 1) into -1 3.201 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.201 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.201 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 3.201 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.201 * [taylor]: Taking taylor expansion of 1.0 in x 3.201 * [backup-simplify]: Simplify 1.0 into 1.0 3.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.201 * [taylor]: Taking taylor expansion of x in x 3.201 * [backup-simplify]: Simplify 0 into 0 3.201 * [backup-simplify]: Simplify 1 into 1 3.201 * [backup-simplify]: Simplify (/ 1 1) into 1 3.202 * [backup-simplify]: Simplify (- 1) into -1 3.202 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.202 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.202 * [backup-simplify]: Simplify -1 into -1 3.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.203 * [backup-simplify]: Simplify (- 0) into 0 3.203 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.205 * [backup-simplify]: Simplify (- (+ (* -1 (/ 1.0 -1)))) into (- 1.0) 3.205 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.206 * [backup-simplify]: Simplify (- 0) into 0 3.206 * [backup-simplify]: Simplify (+ 0 0) into 0 3.208 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- 1.0) (/ 1.0 -1)))) into (- 1.0) 3.208 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.209 * [backup-simplify]: Simplify (+ (* (- 1.0) (pow (/ 1 (- x)) 3)) (+ (* (- 1.0) (pow (/ 1 (- x)) 2)) (* -1 (/ 1 (- x))))) into (- (+ (/ 1 x) (* 1.0 (/ 1 (pow x 3)))) (* 1.0 (/ 1 (pow x 2)))) 3.209 * * * [progress]: simplifying candidates 3.212 * [simplify]: Simplifying: (log (sqrt (* (/ 1 (+ 1.0 x)) (- 1.0 x)))) (exp (sqrt (* (/ 1 (+ 1.0 x)) (- 1.0 x)))) (* (cbrt (sqrt (* (/ 1 (+ 1.0 x)) (- 1.0 x)))) (cbrt (sqrt (* (/ 1 (+ 1.0 x)) (- 1.0 x))))) (cbrt (sqrt (* (/ 1 (+ 1.0 x)) (- 1.0 x)))) (* (* (sqrt (* (/ 1 (+ 1.0 x)) (- 1.0 x))) (sqrt (* (/ 1 (+ 1.0 x)) (- 1.0 x)))) (sqrt (* (/ 1 (+ 1.0 x)) (- 1.0 x)))) (sqrt (/ 1 (+ 1.0 x))) (sqrt (- 1.0 x)) (sqrt (* 1 (- (pow 1.0 3) (pow x 3)))) (sqrt (* (+ 1.0 x) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))) (sqrt (* 1 (- (* 1.0 1.0) (* x x)))) (sqrt (* (+ 1.0 x) (+ 1.0 x))) (sqrt (* (/ 1 (+ 1.0 x)) (- (pow 1.0 3) (pow x 3)))) (sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (sqrt (* (/ 1 (+ 1.0 x)) (- (* 1.0 1.0) (* x x)))) (sqrt (+ 1.0 x)) (sqrt (* 1 (- 1.0 x))) (sqrt (+ 1.0 x)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (/ 1 (+ 1.0 x)) (- 1.0 x)))) (sqrt (sqrt (* (/ 1 (+ 1.0 x)) (- 1.0 x)))) (* (/ 1 (+ 1.0 x)) (- 1.0 x)) (+ (- (log (+ 1.0 x))) (log (- 1.0 x))) (+ (- 0 (log (+ 1.0 x))) (log (- 1.0 x))) (+ (- (log 1) (log (+ 1.0 x))) (log (- 1.0 x))) (+ (log (/ 1 (+ 1.0 x))) (log (- 1.0 x))) (log (* (/ 1 (+ 1.0 x)) (- 1.0 x))) (exp (* (/ 1 (+ 1.0 x)) (- 1.0 x))) (* (/ (* (* 1 1) 1) (* (* (+ 1.0 x) (+ 1.0 x)) (+ 1.0 x))) (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x))) (* (* (* (/ 1 (+ 1.0 x)) (/ 1 (+ 1.0 x))) (/ 1 (+ 1.0 x))) (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x))) (* (cbrt (* (/ 1 (+ 1.0 x)) (- 1.0 x))) (cbrt (* (/ 1 (+ 1.0 x)) (- 1.0 x)))) (cbrt (* (/ 1 (+ 1.0 x)) (- 1.0 x))) (* (* (* (/ 1 (+ 1.0 x)) (- 1.0 x)) (* (/ 1 (+ 1.0 x)) (- 1.0 x))) (* (/ 1 (+ 1.0 x)) (- 1.0 x))) (sqrt (* (/ 1 (+ 1.0 x)) (- 1.0 x))) (sqrt (* (/ 1 (+ 1.0 x)) (- 1.0 x))) (* 1 (- (pow 1.0 3) (pow x 3))) (* (+ 1.0 x) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* 1 (- (* 1.0 1.0) (* x x))) (* (+ 1.0 x) (+ 1.0 x)) (* (sqrt (/ 1 (+ 1.0 x))) (sqrt (- 1.0 x))) (* (sqrt (/ 1 (+ 1.0 x))) (sqrt (- 1.0 x))) (* (/ (sqrt 1) (sqrt (+ 1.0 x))) (sqrt (- 1.0 x))) (* (/ (sqrt 1) (sqrt (+ 1.0 x))) (sqrt (- 1.0 x))) (* (/ 1 (sqrt (+ 1.0 x))) (sqrt (- 1.0 x))) (* (/ 1 (sqrt (+ 1.0 x))) (sqrt (- 1.0 x))) (* (/ 1 (+ 1.0 x)) 1.0) (* (/ 1 (+ 1.0 x)) (- x)) (* (/ 1 (+ 1.0 x)) 1.0) (* (/ 1 (+ 1.0 x)) (- x)) (* 1.0 (/ 1 (+ 1.0 x))) (* (- x) (/ 1 (+ 1.0 x))) (* 1.0 (/ 1 (+ 1.0 x))) (* (- x) (/ 1 (+ 1.0 x))) (* (/ 1 (+ 1.0 x)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (* (/ 1 (+ 1.0 x)) (sqrt (- 1.0 x))) (* (/ 1 (+ 1.0 x)) 1) (* (/ 1 (+ 1.0 x)) (+ (sqrt 1.0) (sqrt x))) (* (/ 1 (+ 1.0 x)) 1) (* (cbrt (/ 1 (+ 1.0 x))) (- 1.0 x)) (* (sqrt (/ 1 (+ 1.0 x))) (- 1.0 x)) (* (/ (cbrt 1) (cbrt (+ 1.0 x))) (- 1.0 x)) (* (/ (cbrt 1) (sqrt (+ 1.0 x))) (- 1.0 x)) (* (/ (cbrt 1) (+ 1.0 x)) (- 1.0 x)) (* (/ (cbrt 1) (+ 1.0 x)) (- 1.0 x)) (* (/ (sqrt 1) (cbrt (+ 1.0 x))) (- 1.0 x)) (* (/ (sqrt 1) (sqrt (+ 1.0 x))) (- 1.0 x)) (* (/ (sqrt 1) (+ 1.0 x)) (- 1.0 x)) (* (/ (sqrt 1) (+ 1.0 x)) (- 1.0 x)) (* (/ 1 (cbrt (+ 1.0 x))) (- 1.0 x)) (* (/ 1 (sqrt (+ 1.0 x))) (- 1.0 x)) (* (/ 1 (+ 1.0 x)) (- 1.0 x)) (* (/ 1 (+ 1.0 x)) (- 1.0 x)) (* (/ 1 (+ 1.0 x)) (- 1.0 x)) (* (/ 1 (+ 1.0 x)) (- 1.0 x)) (* (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))) (- 1.0 x)) (* (- 1.0 x) (- 1.0 x)) (* (/ 1 (+ 1.0 x)) (- (pow 1.0 3) (pow x 3))) (* (/ 1 (+ 1.0 x)) (- (* 1.0 1.0) (* x x))) (* 1 (- 1.0 x)) (log (atan (sqrt (* (/ 1 (+ 1.0 x)) (- 1.0 x))))) (exp (atan (sqrt (* (/ 1 (+ 1.0 x)) (- 1.0 x))))) (* (cbrt (atan (sqrt (* (/ 1 (+ 1.0 x)) (- 1.0 x))))) (cbrt (atan (sqrt (* (/ 1 (+ 1.0 x)) (- 1.0 x)))))) (cbrt (atan (sqrt (* (/ 1 (+ 1.0 x)) (- 1.0 x))))) (* (* (atan (sqrt (* (/ 1 (+ 1.0 x)) (- 1.0 x)))) (atan (sqrt (* (/ 1 (+ 1.0 x)) (- 1.0 x))))) (atan (sqrt (* (/ 1 (+ 1.0 x)) (- 1.0 x))))) (sqrt (atan (sqrt (* (/ 1 (+ 1.0 x)) (- 1.0 x))))) (sqrt (atan (sqrt (* (/ 1 (+ 1.0 x)) (- 1.0 x))))) (- 1) (- (log (+ 1.0 x))) (- 0 (log (+ 1.0 x))) (- (log 1) (log (+ 1.0 x))) (log (/ 1 (+ 1.0 x))) (exp (/ 1 (+ 1.0 x))) (/ (* (* 1 1) 1) (* (* (+ 1.0 x) (+ 1.0 x)) (+ 1.0 x))) (* (cbrt (/ 1 (+ 1.0 x))) (cbrt (/ 1 (+ 1.0 x)))) (cbrt (/ 1 (+ 1.0 x))) (* (* (/ 1 (+ 1.0 x)) (/ 1 (+ 1.0 x))) (/ 1 (+ 1.0 x))) (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ 1 (+ 1.0 x))) (- 1) (- (+ 1.0 x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (cbrt 1) (cbrt (+ 1.0 x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ 1.0 x))) (/ (cbrt 1) (sqrt (+ 1.0 x))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ 1.0 x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ 1.0 x)) (/ (sqrt 1) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt 1) (cbrt (+ 1.0 x))) (/ (sqrt 1) (sqrt (+ 1.0 x))) (/ (sqrt 1) (sqrt (+ 1.0 x))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ 1.0 x)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ 1 (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ 1 1) (/ 1 (+ 1.0 x)) (/ 1 1) (/ 1 (+ 1.0 x)) (/ 1 (+ 1.0 x)) (/ (+ 1.0 x) 1) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ 1 (sqrt (+ 1.0 x))) (/ 1 1) (/ 1 1) (/ (+ 1.0 x) (cbrt 1)) (/ (+ 1.0 x) (sqrt 1)) (/ (+ 1.0 x) 1) (/ 1 (+ (pow 1.0 3) (pow x 3))) (/ 1 (- (* 1.0 1.0) (* x x))) (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (- (+ (* 1.0 (pow x 2)) 1.0) (* 1.0 x)) (- (+ (/ 1 x) (* 1.0 (/ 1 (pow x 3)))) (* 1.0 (/ 1 (pow x 2)))) (- (+ (/ 1 x) (* 1.0 (/ 1 (pow x 3)))) (* 1.0 (/ 1 (pow x 2)))) 3.217 * * [simplify]: Extracting # 0 : cost 0 3.217 * * [simplify]: Extracting # 1 : cost 0 3.217 * * [simplify]: Extracting # 2 : cost 0 3.218 * * [simplify]: Extracting # 3 : cost 0 3.218 * * [simplify]: Extracting # 4 : cost 0 3.219 * * [simplify]: Extracting # 5 : cost 0 3.219 * * [simplify]: Extracting # 6 : cost 0 3.220 * * [simplify]: Extracting # 7 : cost 0 3.220 * * [simplify]: Extracting # 8 : cost 0 3.221 * * [simplify]: iteration 0 : 192 enodes (cost 1536 ) 3.324 * * [simplify]: Extracting # 0 : cost 0 3.325 * * [simplify]: Extracting # 1 : cost 0 3.326 * * [simplify]: Extracting # 2 : cost 0 3.327 * * [simplify]: Extracting # 3 : cost 0 3.328 * * [simplify]: Extracting # 4 : cost 0 3.329 * * [simplify]: iteration 1 : 445 enodes (cost 1302 ) 3.524 * * [simplify]: Extracting # 0 : cost 0 3.527 * * [simplify]: Extracting # 1 : cost 0 3.529 * * [simplify]: Extracting # 2 : cost 0 3.532 * * [simplify]: Extracting # 3 : cost 0 3.534 * * [simplify]: Extracting # 4 : cost 0 3.537 * * [simplify]: iteration 2 : 1232 enodes (cost 1158 ) 4.593 * * [simplify]: Extracting # 0 : cost 0 4.597 * * [simplify]: Extracting # 1 : cost 0 4.600 * * [simplify]: Extracting # 2 : cost 0 4.603 * * [simplify]: Extracting # 3 : cost 0 4.606 * * [simplify]: Extracting # 4 : cost 0 4.609 * * [simplify]: iteration 3 : 3276 enodes (cost 1125 ) 5.842 * * [simplify]: Extracting # 0 : cost 0 5.853 * * [simplify]: Extracting # 1 : cost 0 5.863 * * [simplify]: Extracting # 2 : cost 0 5.872 * * [simplify]: Extracting # 3 : cost 0 5.882 * * [simplify]: Extracting # 4 : cost 0 5.891 * * [simplify]: iteration done: 5001 enodes (cost 1125 ) 5.893 * [simplify]: Simplified to: (log (sqrt (/ (- 1.0 x) (+ x 1.0)))) (exp (sqrt (/ (- 1.0 x) (+ x 1.0)))) (* (cbrt (sqrt (/ (- 1.0 x) (+ x 1.0)))) (cbrt (sqrt (/ (- 1.0 x) (+ x 1.0))))) (cbrt (sqrt (/ (- 1.0 x) (+ x 1.0)))) (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3) (sqrt (/ 1 (+ 1.0 x))) (sqrt (- 1.0 x)) (sqrt (- (pow 1.0 3) (pow x 3))) (sqrt (* (+ (* 1.0 1.0) (* x (+ 1.0 x))) (+ 1.0 x))) (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ x 1.0)) (sqrt (/ (- (pow 1.0 3) (pow x 3)) (+ 1.0 x))) (sqrt (+ (* 1.0 1.0) (* x (+ 1.0 x)))) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) 1/2 1/2 (sqrt (sqrt (/ (- 1.0 x) (+ x 1.0)))) (sqrt (sqrt (/ (- 1.0 x) (+ x 1.0)))) (/ (- 1.0 x) (+ 1.0 x)) (log (/ (- 1.0 x) (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (exp (/ (- 1.0 x) (+ 1.0 x))) (pow (/ (- 1.0 x) (+ 1.0 x)) 3) (pow (/ (- 1.0 x) (+ 1.0 x)) 3) (* (cbrt (/ (- 1.0 x) (+ x 1.0))) (cbrt (/ (- 1.0 x) (+ x 1.0)))) (cbrt (/ (- 1.0 x) (+ x 1.0))) (pow (/ (- 1.0 x) (+ 1.0 x)) 3) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (- (pow 1.0 3) (pow x 3)) (* (+ (* 1.0 1.0) (* x (+ 1.0 x))) (+ 1.0 x)) (- (* 1.0 1.0) (* x x)) (* (+ x 1.0) (+ x 1.0)) (* (sqrt (/ 1 (+ 1.0 x))) (sqrt (- 1.0 x))) (* (sqrt (/ 1 (+ 1.0 x))) (sqrt (- 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ 1.0 (+ 1.0 x)) (- (/ x (+ 1.0 x))) (/ 1.0 (+ 1.0 x)) (- (/ x (+ 1.0 x))) (/ 1.0 (+ 1.0 x)) (- (/ x (+ 1.0 x))) (/ 1.0 (+ 1.0 x)) (- (/ x (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ 1 (+ x 1.0)) (/ (+ (sqrt x) (sqrt 1.0)) (+ 1.0 x)) (/ 1 (+ x 1.0)) (* (cbrt (/ 1 (+ 1.0 x))) (- 1.0 x)) (* (sqrt (/ 1 (+ 1.0 x))) (- 1.0 x)) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x)) (* (+ (* x (- x 1.0)) (* 1.0 1.0)) (- 1.0 x)) (* (- 1.0 x) (- 1.0 x)) (/ (- (pow 1.0 3) (pow x 3)) (+ 1.0 x)) (- 1.0 x) (- 1.0 x) (log (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (exp (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) (sqrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) -1 (- (log (+ 1.0 x))) (- (log (+ 1.0 x))) (- (log (+ 1.0 x))) (- (log (+ 1.0 x))) (exp (/ 1 (+ 1.0 x))) (pow (/ 1 (+ 1.0 x)) 3) (* (cbrt (/ 1 (+ 1.0 x))) (cbrt (/ 1 (+ 1.0 x)))) (cbrt (/ 1 (+ 1.0 x))) (pow (/ 1 (+ 1.0 x)) 3) (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ 1 (+ 1.0 x))) -1 (- (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ 1 (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) 1 (/ 1 (+ x 1.0)) 1 (/ 1 (+ x 1.0)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ 1 (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) 1 (/ 1 (+ x 1.0)) 1 (/ 1 (+ x 1.0)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ 1 (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) 1 (/ 1 (+ x 1.0)) 1 (/ 1 (+ x 1.0)) (/ 1 (+ x 1.0)) (+ x 1.0) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ 1 (sqrt (+ 1.0 x))) 1 1 (+ x 1.0) (+ x 1.0) (+ x 1.0) (/ 1 (+ (pow 1.0 3) (pow x 3))) (/ 1 (- (* 1.0 1.0) (* x x))) (- (* (/ (pow x 2) (sqrt 1.0)) (- 1.0 (/ 0.5 1.0))) (- (* 1.0 (/ x (sqrt 1.0))) (sqrt 1.0))) (- (+ (/ 1.0 (* x (sqrt -1))) (sqrt -1)) (* (/ 1 (pow x 2)) (+ (/ 0.5 (- (sqrt -1))) (/ 1.0 (sqrt -1))))) (- (+ (/ 1.0 (* x (sqrt -1))) (sqrt -1)) (* (/ 1 (pow x 2)) (+ (/ 0.5 (- (sqrt -1))) (/ 1.0 (sqrt -1))))) (+ (* 2.0 (- (* x x) x)) 1.0) (- (/ 2.0 x) (+ 1 (/ 2.0 (* x x)))) (- (/ 2.0 x) (+ 1 (/ 2.0 (* x x)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (* 1.0 (- (+ (* x x) 1) x)) (+ (/ 1.0 (pow x 3)) (- (/ 1 x) (/ 1.0 (* x x)))) (+ (/ 1.0 (pow x 3)) (- (/ 1 x) (/ 1.0 (* x x)))) 5.894 * * * [progress]: adding candidates to table 6.267 * [progress]: [Phase 3 of 3] Extracting. 6.270 * [simplify]: Simplifying: (* 2.0 (atan (sqrt (* (/ 1 (+ 1.0 x)) (- 1.0 x))))) 6.270 * * [simplify]: Extracting # 0 : cost 0 6.270 * * [simplify]: Extracting # 1 : cost 0 6.270 * * [simplify]: Extracting # 2 : cost 0 6.270 * * [simplify]: Extracting # 3 : cost 0 6.270 * * [simplify]: Extracting # 4 : cost 0 6.270 * * [simplify]: Extracting # 5 : cost 0 6.270 * * [simplify]: Extracting # 6 : cost 0 6.270 * * [simplify]: Extracting # 7 : cost 0 6.270 * * [simplify]: iteration 0 : 11 enodes (cost 13 ) 6.271 * * [simplify]: Extracting # 0 : cost 0 6.271 * * [simplify]: iteration 1 : 16 enodes (cost 13 ) 6.272 * * [simplify]: Extracting # 0 : cost 0 6.272 * * [simplify]: iteration done: 16 enodes (cost 13 ) 6.272 * [simplify]: Simplified to: (* 2.0 (atan (sqrt (* (/ 1 (+ 1.0 x)) (- 1.0 x))))) 8.564 * [regime-testing]: End program error score: 0.014324910926455952