25.398 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying: (/ (+ x 1.0) (- 1.0 x)) 0.018 * * [simplify]: iteration 0: 5 enodes 0.018 * * [simplify]: iteration 1: 8 enodes 0.019 * * [simplify]: iteration 2: 9 enodes 0.020 * * [simplify]: iteration complete: 9 enodes 0.020 * * [simplify]: Extracting #0: cost 1 inf + 0 0.020 * * [simplify]: Extracting #1: cost 3 inf + 0 0.020 * * [simplify]: Extracting #2: cost 6 inf + 0 0.020 * * [simplify]: Extracting #3: cost 4 inf + 2 0.020 * * [simplify]: Extracting #4: cost 0 inf + 249 0.021 * [simplify]: Simplified to: (/ (+ 1.0 x) (- 1.0 x)) 0.021 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.030 * * * [progress]: generating rewritten candidates 0.030 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.051 * * * [progress]: generating series expansions 0.051 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.052 * [backup-simplify]: Simplify (/ (+ x 1.0) (- 1.0 x)) into (/ (+ x 1.0) (- 1.0 x)) 0.052 * [approximate]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in (x) around 0 0.052 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.052 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 1 into 1 0.052 * [taylor]: Taking taylor expansion of 1.0 in x 0.052 * [backup-simplify]: Simplify 1.0 into 1.0 0.052 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.052 * [taylor]: Taking taylor expansion of 1.0 in x 0.052 * [backup-simplify]: Simplify 1.0 into 1.0 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 1 into 1 0.052 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.053 * [backup-simplify]: Simplify (- 0) into 0 0.053 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.053 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.053 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.053 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [taylor]: Taking taylor expansion of 1.0 in x 0.053 * [backup-simplify]: Simplify 1.0 into 1.0 0.053 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.053 * [taylor]: Taking taylor expansion of 1.0 in x 0.053 * [backup-simplify]: Simplify 1.0 into 1.0 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.054 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.054 * [backup-simplify]: Simplify (- 0) into 0 0.054 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.054 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.054 * [backup-simplify]: Simplify 1.0 into 1.0 0.055 * [backup-simplify]: Simplify (+ 1 0) into 1 0.055 * [backup-simplify]: Simplify (- 1) into -1 0.055 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.057 * [backup-simplify]: Simplify (- (/ 1 1.0) (+ (* 1.0 (/ -1 1.0)))) into 2.0 0.057 * [backup-simplify]: Simplify 2.0 into 2.0 0.057 * [backup-simplify]: Simplify (+ 0 0) into 0 0.057 * [backup-simplify]: Simplify (- 0) into 0 0.057 * [backup-simplify]: Simplify (+ 0 0) into 0 0.060 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* 2.0 (/ -1 1.0)))) into 2.0 0.060 * [backup-simplify]: Simplify 2.0 into 2.0 0.060 * [backup-simplify]: Simplify (+ (* 2.0 (pow x 2)) (+ (* 2.0 x) 1.0)) into (+ (* 2.0 x) (+ (* 2.0 (pow x 2)) 1.0)) 0.060 * [backup-simplify]: Simplify (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) into (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) 0.060 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 0.060 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.060 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 1 into 1 0.061 * [backup-simplify]: Simplify (/ 1 1) into 1 0.061 * [taylor]: Taking taylor expansion of 1.0 in x 0.061 * [backup-simplify]: Simplify 1.0 into 1.0 0.061 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.061 * [taylor]: Taking taylor expansion of 1.0 in x 0.061 * [backup-simplify]: Simplify 1.0 into 1.0 0.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.061 * [backup-simplify]: Simplify (/ 1 1) into 1 0.061 * [backup-simplify]: Simplify (+ 1 0) into 1 0.062 * [backup-simplify]: Simplify (- 1) into -1 0.062 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.062 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.062 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.062 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 1 into 1 0.063 * [backup-simplify]: Simplify (/ 1 1) into 1 0.063 * [taylor]: Taking taylor expansion of 1.0 in x 0.063 * [backup-simplify]: Simplify 1.0 into 1.0 0.063 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.063 * [taylor]: Taking taylor expansion of 1.0 in x 0.063 * [backup-simplify]: Simplify 1.0 into 1.0 0.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 1 into 1 0.063 * [backup-simplify]: Simplify (/ 1 1) into 1 0.063 * [backup-simplify]: Simplify (+ 1 0) into 1 0.063 * [backup-simplify]: Simplify (- 1) into -1 0.064 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.064 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.064 * [backup-simplify]: Simplify -1 into -1 0.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.065 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.066 * [backup-simplify]: Simplify (- 0) into 0 0.066 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.067 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 0.068 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.068 * [backup-simplify]: Simplify (+ 0 0) into 0 0.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.069 * [backup-simplify]: Simplify (- 0) into 0 0.069 * [backup-simplify]: Simplify (+ 0 0) into 0 0.072 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 0.073 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.073 * [backup-simplify]: Simplify (+ (* (- 2.0) (pow (/ 1 x) 2)) (+ (* (- 2.0) (/ 1 x)) -1)) into (- (+ (* 2.0 (/ 1 (pow x 2))) (+ (* 2.0 (/ 1 x)) 1))) 0.073 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) 1.0) (- 1.0 (/ 1 (- x)))) into (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) 0.073 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.073 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.073 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.073 * [taylor]: Taking taylor expansion of 1.0 in x 0.073 * [backup-simplify]: Simplify 1.0 into 1.0 0.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [backup-simplify]: Simplify (/ 1 1) into 1 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [backup-simplify]: Simplify (/ 1 1) into 1 0.074 * [taylor]: Taking taylor expansion of 1.0 in x 0.074 * [backup-simplify]: Simplify 1.0 into 1.0 0.074 * [backup-simplify]: Simplify (- 1) into -1 0.075 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.075 * [backup-simplify]: Simplify (+ 1 0) into 1 0.075 * [backup-simplify]: Simplify (/ -1 1) into -1 0.075 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.075 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.075 * [taylor]: Taking taylor expansion of 1.0 in x 0.075 * [backup-simplify]: Simplify 1.0 into 1.0 0.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 1 into 1 0.076 * [backup-simplify]: Simplify (/ 1 1) into 1 0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.076 * [backup-simplify]: Simplify (/ 1 1) into 1 0.076 * [taylor]: Taking taylor expansion of 1.0 in x 0.076 * [backup-simplify]: Simplify 1.0 into 1.0 0.076 * [backup-simplify]: Simplify (- 1) into -1 0.076 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.077 * [backup-simplify]: Simplify (+ 1 0) into 1 0.077 * [backup-simplify]: Simplify (/ -1 1) into -1 0.077 * [backup-simplify]: Simplify -1 into -1 0.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.078 * [backup-simplify]: Simplify (- 0) into 0 0.078 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.079 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.080 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 0.080 * [backup-simplify]: Simplify 2.0 into 2.0 0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.081 * [backup-simplify]: Simplify (- 0) into 0 0.081 * [backup-simplify]: Simplify (+ 0 0) into 0 0.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.083 * [backup-simplify]: Simplify (+ 0 0) into 0 0.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 0.087 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.088 * [backup-simplify]: Simplify (+ (* (- 2.0) (pow (/ 1 (- x)) 2)) (+ (* 2.0 (/ 1 (- x))) -1)) into (- (+ (* 2.0 (/ 1 (pow x 2))) (+ (* 2.0 (/ 1 x)) 1))) 0.088 * * * [progress]: simplifying candidates 0.089 * [simplify]: Simplifying: (expm1 (/ (+ x 1.0) (- 1.0 x))) (log1p (/ (+ x 1.0) (- 1.0 x))) (- (log (+ x 1.0)) (log (- 1.0 x))) (log (/ (+ x 1.0) (- 1.0 x))) (exp (/ (+ x 1.0) (- 1.0 x))) (/ (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0)) (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x))) (* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x)))) (cbrt (/ (+ x 1.0) (- 1.0 x))) (* (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x))) (/ (+ x 1.0) (- 1.0 x))) (sqrt (/ (+ x 1.0) (- 1.0 x))) (sqrt (/ (+ x 1.0) (- 1.0 x))) (- (+ x 1.0)) (- (- 1.0 x)) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (cbrt (+ x 1.0)) (cbrt (- 1.0 x))) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (sqrt (- 1.0 x))) (/ (cbrt (+ x 1.0)) (sqrt (- 1.0 x))) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) 1) (/ (cbrt (+ x 1.0)) (- 1.0 x)) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (sqrt 1.0) (sqrt x))) (/ (cbrt (+ x 1.0)) (- (sqrt 1.0) (sqrt x))) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) 1) (/ (cbrt (+ x 1.0)) (- 1.0 x)) (/ (sqrt (+ x 1.0)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (sqrt (+ x 1.0)) (cbrt (- 1.0 x))) (/ (sqrt (+ x 1.0)) (sqrt (- 1.0 x))) (/ (sqrt (+ x 1.0)) (sqrt (- 1.0 x))) (/ (sqrt (+ x 1.0)) 1) (/ (sqrt (+ x 1.0)) (- 1.0 x)) (/ (sqrt (+ x 1.0)) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt (+ x 1.0)) (- (sqrt 1.0) (sqrt x))) (/ (sqrt (+ x 1.0)) 1) (/ (sqrt (+ x 1.0)) (- 1.0 x)) (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (+ x 1.0) (cbrt (- 1.0 x))) (/ 1 (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x))) (/ 1 1) (/ (+ x 1.0) (- 1.0 x)) (/ 1 (+ (sqrt 1.0) (sqrt x))) (/ (+ x 1.0) (- (sqrt 1.0) (sqrt x))) (/ 1 1) (/ (+ x 1.0) (- 1.0 x)) (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (+ x 1.0) (cbrt (- 1.0 x))) (/ 1 (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x))) (/ 1 1) (/ (+ x 1.0) (- 1.0 x)) (/ 1 (+ (sqrt 1.0) (sqrt x))) (/ (+ x 1.0) (- (sqrt 1.0) (sqrt x))) (/ 1 1) (/ (+ x 1.0) (- 1.0 x)) (/ 1 (- 1.0 x)) (/ (- 1.0 x) (+ x 1.0)) (/ (+ x 1.0) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (+ x 1.0) (sqrt (- 1.0 x))) (/ (+ x 1.0) 1) (/ (+ x 1.0) (+ (sqrt 1.0) (sqrt x))) (/ (+ x 1.0) 1) (/ (- 1.0 x) (cbrt (+ x 1.0))) (/ (- 1.0 x) (sqrt (+ x 1.0))) (/ (- 1.0 x) (+ x 1.0)) (/ (- 1.0 x) (+ x 1.0)) (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))) (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (* (- 1.0 x) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (* (- 1.0 x) (- x 1.0)) (+ (* 2.0 x) (+ (* 2.0 (pow x 2)) 1.0)) (- (+ (* 2.0 (/ 1 (pow x 2))) (+ (* 2.0 (/ 1 x)) 1))) (- (+ (* 2.0 (/ 1 (pow x 2))) (+ (* 2.0 (/ 1 x)) 1))) 0.091 * * [simplify]: iteration 0: 93 enodes 0.128 * * [simplify]: iteration 1: 221 enodes 0.211 * * [simplify]: iteration 2: 867 enodes 0.838 * * [simplify]: iteration complete: 5000 enodes 0.838 * * [simplify]: Extracting #0: cost 45 inf + 0 0.839 * * [simplify]: Extracting #1: cost 391 inf + 1 0.846 * * [simplify]: Extracting #2: cost 1128 inf + 5969 0.870 * * [simplify]: Extracting #3: cost 1368 inf + 52257 0.939 * * [simplify]: Extracting #4: cost 198 inf + 206133 0.985 * * [simplify]: Extracting #5: cost 24 inf + 239591 1.041 * * [simplify]: Extracting #6: cost 2 inf + 244643 1.102 * * [simplify]: Extracting #7: cost 0 inf + 245399 1.149 * [simplify]: Simplified to: (expm1 (/ (+ 1.0 x) (- 1.0 x))) (log1p (/ (+ 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))) (* (* (/ (+ 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) (- x 1.0) (* (/ (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))) (/ (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)) (/ (+ (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x)))) (/ (cbrt (+ 1.0 x)) (- (sqrt 1.0) (sqrt 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) (sqrt x))) (/ (sqrt (+ 1.0 x)) (- (sqrt 1.0) (sqrt 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 (+ (sqrt 1.0) (sqrt x))) (/ (+ 1.0 x) (- (sqrt 1.0) (sqrt x))) 1 (/ (+ 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 (+ (sqrt 1.0) (sqrt x))) (/ (+ 1.0 x) (- (sqrt 1.0) (sqrt 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) (+ (sqrt 1.0) (sqrt 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 (* 1.0 1.0)) (* (* x x) x))) (/ 1 (- 1.0 x)) (* (- 1.0 x) (fma x x (* (- 1.0 x) 1.0))) (* (- x 1.0) (- 1.0 x)) (fma 2.0 (+ (* x x) x) 1.0) (- (- -1 (/ 2.0 x)) (/ 2.0 (* x x))) (- (- -1 (/ 2.0 x)) (/ 2.0 (* x x))) 1.151 * * * [progress]: adding candidates to table 1.371 * * [progress]: iteration 2 / 4 1.371 * * * [progress]: picking best candidate 1.382 * * * * [pick]: Picked # 1.382 * * * [progress]: localizing error 1.403 * * * [progress]: generating rewritten candidates 1.403 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 1.412 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.564 * * * [progress]: generating series expansions 1.564 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 1.565 * [backup-simplify]: Simplify (/ 2.0 (* x x)) into (/ 2.0 (pow x 2)) 1.565 * [approximate]: Taking taylor expansion of (/ 2.0 (pow x 2)) in (x) around 0 1.565 * [taylor]: Taking taylor expansion of (/ 2.0 (pow x 2)) in x 1.565 * [taylor]: Taking taylor expansion of 2.0 in x 1.565 * [backup-simplify]: Simplify 2.0 into 2.0 1.565 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.565 * [taylor]: Taking taylor expansion of x in x 1.565 * [backup-simplify]: Simplify 0 into 0 1.565 * [backup-simplify]: Simplify 1 into 1 1.565 * [backup-simplify]: Simplify (* 1 1) into 1 1.566 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0 1.566 * [taylor]: Taking taylor expansion of (/ 2.0 (pow x 2)) in x 1.566 * [taylor]: Taking taylor expansion of 2.0 in x 1.566 * [backup-simplify]: Simplify 2.0 into 2.0 1.566 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.566 * [taylor]: Taking taylor expansion of x in x 1.566 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify 1 into 1 1.566 * [backup-simplify]: Simplify (* 1 1) into 1 1.566 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0 1.566 * [backup-simplify]: Simplify 2.0 into 2.0 1.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)))) into 0 1.567 * [backup-simplify]: Simplify 0 into 0 1.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.568 * [backup-simplify]: Simplify 0 into 0 1.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.570 * [backup-simplify]: Simplify 0 into 0 1.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.571 * [backup-simplify]: Simplify 0 into 0 1.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.572 * [backup-simplify]: Simplify 0 into 0 1.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.574 * [backup-simplify]: Simplify 0 into 0 1.574 * [backup-simplify]: Simplify (* 2.0 (pow (/ 1 x) 2)) into (/ 2.0 (pow x 2)) 1.574 * [backup-simplify]: Simplify (/ 2.0 (* (/ 1 x) (/ 1 x))) into (* 2.0 (pow x 2)) 1.574 * [approximate]: Taking taylor expansion of (* 2.0 (pow x 2)) in (x) around 0 1.574 * [taylor]: Taking taylor expansion of (* 2.0 (pow x 2)) in x 1.574 * [taylor]: Taking taylor expansion of 2.0 in x 1.574 * [backup-simplify]: Simplify 2.0 into 2.0 1.574 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.574 * [taylor]: Taking taylor expansion of x in x 1.574 * [backup-simplify]: Simplify 0 into 0 1.574 * [backup-simplify]: Simplify 1 into 1 1.574 * [taylor]: Taking taylor expansion of (* 2.0 (pow x 2)) in x 1.574 * [taylor]: Taking taylor expansion of 2.0 in x 1.574 * [backup-simplify]: Simplify 2.0 into 2.0 1.574 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.574 * [taylor]: Taking taylor expansion of x in x 1.574 * [backup-simplify]: Simplify 0 into 0 1.574 * [backup-simplify]: Simplify 1 into 1 1.574 * [backup-simplify]: Simplify (* 1 1) into 1 1.575 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.575 * [backup-simplify]: Simplify 2.0 into 2.0 1.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.575 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 1.576 * [backup-simplify]: Simplify 0 into 0 1.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.577 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 1.577 * [backup-simplify]: Simplify 0 into 0 1.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.578 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.578 * [backup-simplify]: Simplify 0 into 0 1.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.579 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.579 * [backup-simplify]: Simplify 0 into 0 1.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.581 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.581 * [backup-simplify]: Simplify 0 into 0 1.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.582 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.582 * [backup-simplify]: Simplify 0 into 0 1.583 * [backup-simplify]: Simplify (* 2.0 (pow (/ 1 x) 2)) into (/ 2.0 (pow x 2)) 1.583 * [backup-simplify]: Simplify (/ 2.0 (* (/ 1 (- x)) (/ 1 (- x)))) into (* 2.0 (pow x 2)) 1.583 * [approximate]: Taking taylor expansion of (* 2.0 (pow x 2)) in (x) around 0 1.583 * [taylor]: Taking taylor expansion of (* 2.0 (pow x 2)) in x 1.583 * [taylor]: Taking taylor expansion of 2.0 in x 1.583 * [backup-simplify]: Simplify 2.0 into 2.0 1.583 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.583 * [taylor]: Taking taylor expansion of x in x 1.583 * [backup-simplify]: Simplify 0 into 0 1.583 * [backup-simplify]: Simplify 1 into 1 1.583 * [taylor]: Taking taylor expansion of (* 2.0 (pow x 2)) in x 1.583 * [taylor]: Taking taylor expansion of 2.0 in x 1.583 * [backup-simplify]: Simplify 2.0 into 2.0 1.583 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.583 * [taylor]: Taking taylor expansion of x in x 1.583 * [backup-simplify]: Simplify 0 into 0 1.583 * [backup-simplify]: Simplify 1 into 1 1.583 * [backup-simplify]: Simplify (* 1 1) into 1 1.584 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.584 * [backup-simplify]: Simplify 2.0 into 2.0 1.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.584 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 1.584 * [backup-simplify]: Simplify 0 into 0 1.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.585 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 1.585 * [backup-simplify]: Simplify 0 into 0 1.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.587 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.587 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.588 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.588 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.590 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.590 * [backup-simplify]: Simplify 0 into 0 1.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.591 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.591 * [backup-simplify]: Simplify 0 into 0 1.592 * [backup-simplify]: Simplify (* 2.0 (pow (/ 1 (- x)) 2)) into (/ 2.0 (pow x 2)) 1.592 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.592 * [backup-simplify]: Simplify (- (- -1 (/ 2.0 x)) (/ 2.0 (* x x))) into (- (+ (* 2.0 (/ 1 (pow x 2))) (+ (* 2.0 (/ 1 x)) 1))) 1.592 * [approximate]: Taking taylor expansion of (- (+ (* 2.0 (/ 1 (pow x 2))) (+ (* 2.0 (/ 1 x)) 1))) in (x) around 0 1.592 * [taylor]: Taking taylor expansion of (- (+ (* 2.0 (/ 1 (pow x 2))) (+ (* 2.0 (/ 1 x)) 1))) in x 1.592 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 (pow x 2))) (+ (* 2.0 (/ 1 x)) 1)) in x 1.592 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 2))) in x 1.592 * [taylor]: Taking taylor expansion of 2.0 in x 1.592 * [backup-simplify]: Simplify 2.0 into 2.0 1.592 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.592 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.592 * [taylor]: Taking taylor expansion of x in x 1.592 * [backup-simplify]: Simplify 0 into 0 1.592 * [backup-simplify]: Simplify 1 into 1 1.592 * [backup-simplify]: Simplify (* 1 1) into 1 1.593 * [backup-simplify]: Simplify (/ 1 1) into 1 1.593 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 x)) 1) in x 1.593 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.593 * [taylor]: Taking taylor expansion of 2.0 in x 1.593 * [backup-simplify]: Simplify 2.0 into 2.0 1.593 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.593 * [taylor]: Taking taylor expansion of x in x 1.593 * [backup-simplify]: Simplify 0 into 0 1.593 * [backup-simplify]: Simplify 1 into 1 1.593 * [backup-simplify]: Simplify (/ 1 1) into 1 1.593 * [taylor]: Taking taylor expansion of 1 in x 1.593 * [backup-simplify]: Simplify 1 into 1 1.593 * [taylor]: Taking taylor expansion of (- (+ (* 2.0 (/ 1 (pow x 2))) (+ (* 2.0 (/ 1 x)) 1))) in x 1.593 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 (pow x 2))) (+ (* 2.0 (/ 1 x)) 1)) in x 1.593 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 2))) in x 1.593 * [taylor]: Taking taylor expansion of 2.0 in x 1.593 * [backup-simplify]: Simplify 2.0 into 2.0 1.593 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.593 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.593 * [taylor]: Taking taylor expansion of x in x 1.593 * [backup-simplify]: Simplify 0 into 0 1.593 * [backup-simplify]: Simplify 1 into 1 1.593 * [backup-simplify]: Simplify (* 1 1) into 1 1.594 * [backup-simplify]: Simplify (/ 1 1) into 1 1.594 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 x)) 1) in x 1.594 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.594 * [taylor]: Taking taylor expansion of 2.0 in x 1.594 * [backup-simplify]: Simplify 2.0 into 2.0 1.594 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.594 * [taylor]: Taking taylor expansion of x in x 1.594 * [backup-simplify]: Simplify 0 into 0 1.594 * [backup-simplify]: Simplify 1 into 1 1.594 * [backup-simplify]: Simplify (/ 1 1) into 1 1.594 * [taylor]: Taking taylor expansion of 1 in x 1.594 * [backup-simplify]: Simplify 1 into 1 1.594 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.595 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 1.595 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.595 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.597 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 1.597 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.597 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 1.598 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 1.598 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.598 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.600 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 1.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.601 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 1.601 * [backup-simplify]: Simplify (+ 0 1) into 1 1.601 * [backup-simplify]: Simplify (+ 0 1) into 1 1.602 * [backup-simplify]: Simplify (- 1) into -1 1.602 * [backup-simplify]: Simplify -1 into -1 1.602 * [backup-simplify]: Simplify (+ -1 (+ (* (- 2.0) (/ 1 x)) (* (- 2.0) (pow (/ 1 x) 2)))) into (- (+ (* 2.0 (/ 1 x)) (+ (* 2.0 (/ 1 (pow x 2))) 1))) 1.602 * [backup-simplify]: Simplify (- (- -1 (/ 2.0 (/ 1 x))) (/ 2.0 (* (/ 1 x) (/ 1 x)))) into (- (+ (* 2.0 x) (+ (* 2.0 (pow x 2)) 1))) 1.603 * [approximate]: Taking taylor expansion of (- (+ (* 2.0 x) (+ (* 2.0 (pow x 2)) 1))) in (x) around 0 1.603 * [taylor]: Taking taylor expansion of (- (+ (* 2.0 x) (+ (* 2.0 (pow x 2)) 1))) in x 1.603 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (+ (* 2.0 (pow x 2)) 1)) in x 1.603 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 1.603 * [taylor]: Taking taylor expansion of 2.0 in x 1.603 * [backup-simplify]: Simplify 2.0 into 2.0 1.603 * [taylor]: Taking taylor expansion of x in x 1.603 * [backup-simplify]: Simplify 0 into 0 1.603 * [backup-simplify]: Simplify 1 into 1 1.603 * [taylor]: Taking taylor expansion of (+ (* 2.0 (pow x 2)) 1) in x 1.603 * [taylor]: Taking taylor expansion of (* 2.0 (pow x 2)) in x 1.603 * [taylor]: Taking taylor expansion of 2.0 in x 1.603 * [backup-simplify]: Simplify 2.0 into 2.0 1.603 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.603 * [taylor]: Taking taylor expansion of x in x 1.603 * [backup-simplify]: Simplify 0 into 0 1.603 * [backup-simplify]: Simplify 1 into 1 1.603 * [taylor]: Taking taylor expansion of 1 in x 1.603 * [backup-simplify]: Simplify 1 into 1 1.603 * [taylor]: Taking taylor expansion of (- (+ (* 2.0 x) (+ (* 2.0 (pow x 2)) 1))) in x 1.603 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (+ (* 2.0 (pow x 2)) 1)) in x 1.603 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 1.603 * [taylor]: Taking taylor expansion of 2.0 in x 1.603 * [backup-simplify]: Simplify 2.0 into 2.0 1.603 * [taylor]: Taking taylor expansion of x in x 1.603 * [backup-simplify]: Simplify 0 into 0 1.603 * [backup-simplify]: Simplify 1 into 1 1.603 * [taylor]: Taking taylor expansion of (+ (* 2.0 (pow x 2)) 1) in x 1.603 * [taylor]: Taking taylor expansion of (* 2.0 (pow x 2)) in x 1.603 * [taylor]: Taking taylor expansion of 2.0 in x 1.603 * [backup-simplify]: Simplify 2.0 into 2.0 1.603 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.603 * [taylor]: Taking taylor expansion of x in x 1.603 * [backup-simplify]: Simplify 0 into 0 1.603 * [backup-simplify]: Simplify 1 into 1 1.603 * [taylor]: Taking taylor expansion of 1 in x 1.603 * [backup-simplify]: Simplify 1 into 1 1.604 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.604 * [backup-simplify]: Simplify (+ 0 1) into 1 1.604 * [backup-simplify]: Simplify (+ 0 1) into 1 1.604 * [backup-simplify]: Simplify (- 1) into -1 1.604 * [backup-simplify]: Simplify -1 into -1 1.605 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 1.605 * [backup-simplify]: Simplify (+ 0 0) into 0 1.606 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 1.606 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.606 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.607 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 1.607 * [backup-simplify]: Simplify (* 1 1) into 1 1.607 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.608 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 1.608 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 1.608 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.608 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.609 * [backup-simplify]: Simplify (+ (* (- 2.0) (pow (/ 1 x) 2)) (+ (* (- 2.0) (/ 1 x)) -1)) into (- (+ (* 2.0 (/ 1 (pow x 2))) (+ (* 2.0 (/ 1 x)) 1))) 1.609 * [backup-simplify]: Simplify (- (- -1 (/ 2.0 (/ 1 (- x)))) (/ 2.0 (* (/ 1 (- x)) (/ 1 (- x))))) into (- (* 2.0 x) (+ (* 2.0 (pow x 2)) 1)) 1.609 * [approximate]: Taking taylor expansion of (- (* 2.0 x) (+ (* 2.0 (pow x 2)) 1)) in (x) around 0 1.609 * [taylor]: Taking taylor expansion of (- (* 2.0 x) (+ (* 2.0 (pow x 2)) 1)) in x 1.609 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 1.609 * [taylor]: Taking taylor expansion of 2.0 in x 1.609 * [backup-simplify]: Simplify 2.0 into 2.0 1.609 * [taylor]: Taking taylor expansion of x in x 1.609 * [backup-simplify]: Simplify 0 into 0 1.609 * [backup-simplify]: Simplify 1 into 1 1.609 * [taylor]: Taking taylor expansion of (+ (* 2.0 (pow x 2)) 1) in x 1.609 * [taylor]: Taking taylor expansion of (* 2.0 (pow x 2)) in x 1.609 * [taylor]: Taking taylor expansion of 2.0 in x 1.609 * [backup-simplify]: Simplify 2.0 into 2.0 1.609 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.609 * [taylor]: Taking taylor expansion of x in x 1.609 * [backup-simplify]: Simplify 0 into 0 1.609 * [backup-simplify]: Simplify 1 into 1 1.609 * [taylor]: Taking taylor expansion of 1 in x 1.609 * [backup-simplify]: Simplify 1 into 1 1.610 * [taylor]: Taking taylor expansion of (- (* 2.0 x) (+ (* 2.0 (pow x 2)) 1)) in x 1.610 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 1.610 * [taylor]: Taking taylor expansion of 2.0 in x 1.610 * [backup-simplify]: Simplify 2.0 into 2.0 1.610 * [taylor]: Taking taylor expansion of x in x 1.610 * [backup-simplify]: Simplify 0 into 0 1.610 * [backup-simplify]: Simplify 1 into 1 1.610 * [taylor]: Taking taylor expansion of (+ (* 2.0 (pow x 2)) 1) in x 1.610 * [taylor]: Taking taylor expansion of (* 2.0 (pow x 2)) in x 1.610 * [taylor]: Taking taylor expansion of 2.0 in x 1.610 * [backup-simplify]: Simplify 2.0 into 2.0 1.610 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.610 * [taylor]: Taking taylor expansion of x in x 1.610 * [backup-simplify]: Simplify 0 into 0 1.610 * [backup-simplify]: Simplify 1 into 1 1.610 * [taylor]: Taking taylor expansion of 1 in x 1.610 * [backup-simplify]: Simplify 1 into 1 1.610 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.611 * [backup-simplify]: Simplify (+ 0 1) into 1 1.611 * [backup-simplify]: Simplify (- 1) into -1 1.611 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.611 * [backup-simplify]: Simplify -1 into -1 1.613 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 1.613 * [backup-simplify]: Simplify (+ 0 0) into 0 1.613 * [backup-simplify]: Simplify (- 0) into 0 1.614 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 1.614 * [backup-simplify]: Simplify 2.0 into 2.0 1.615 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 1.616 * [backup-simplify]: Simplify (* 1 1) into 1 1.616 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.617 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 1.617 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.618 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0) 1.618 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.619 * [backup-simplify]: Simplify (+ (* (- 2.0) (pow (/ 1 (- x)) 2)) (+ (* 2.0 (/ 1 (- x))) -1)) into (- (+ (* 2.0 (/ 1 (pow x 2))) (+ (* 2.0 (/ 1 x)) 1))) 1.619 * * * [progress]: simplifying candidates 1.624 * [simplify]: Simplifying: (expm1 (/ 2.0 (* x x))) (log1p (/ 2.0 (* x x))) (- (log 2.0) (+ (log x) (log x))) (- (log 2.0) (log (* x x))) (log (/ 2.0 (* x x))) (exp (/ 2.0 (* x x))) (/ (* (* 2.0 2.0) 2.0) (* (* (* x x) x) (* (* x x) x))) (/ (* (* 2.0 2.0) 2.0) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ 2.0 (* x x))) (cbrt (/ 2.0 (* x x)))) (cbrt (/ 2.0 (* x x))) (* (* (/ 2.0 (* x x)) (/ 2.0 (* x x))) (/ 2.0 (* x x))) (sqrt (/ 2.0 (* x x))) (sqrt (/ 2.0 (* x x))) (- 2.0) (- (* x x)) (/ (* (cbrt 2.0) (cbrt 2.0)) x) (/ (cbrt 2.0) x) (/ (sqrt 2.0) x) (/ (sqrt 2.0) x) (/ 1 x) (/ 2.0 x) (/ 1 (* x x)) (/ (* x x) 2.0) (/ 2.0 x) (/ (* x x) (cbrt 2.0)) (/ (* x x) (sqrt 2.0)) (/ (* x x) 2.0) (fma (* (cbrt (- -1 (/ 2.0 x))) (cbrt (- -1 (/ 2.0 x)))) (cbrt (- -1 (/ 2.0 x))) (- (* (cbrt (/ 2.0 (* x x))) (* (cbrt (/ 2.0 (* x x))) (cbrt (/ 2.0 (* x x))))))) 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(- (/ 2.0 (* x x))) (/ 2.0 (pow x 2)) (/ 2.0 (pow x 2)) (/ 2.0 (pow x 2)) (- (+ (* 2.0 (/ 1 x)) (+ (* 2.0 (/ 1 (pow x 2))) 1))) (- (+ (* 2.0 (/ 1 (pow x 2))) (+ (* 2.0 (/ 1 x)) 1))) (- (+ (* 2.0 (/ 1 (pow x 2))) (+ (* 2.0 (/ 1 x)) 1))) 1.631 * * [simplify]: iteration 0: 245 enodes 1.729 * * [simplify]: iteration 1: 670 enodes 2.448 * * [simplify]: iteration 2: 3913 enodes 4.342 * * [simplify]: iteration complete: 5000 enodes 4.342 * * [simplify]: Extracting #0: cost 63 inf + 0 4.345 * * [simplify]: Extracting #1: cost 761 inf + 0 4.351 * * [simplify]: Extracting #2: cost 1214 inf + 6731 4.373 * * [simplify]: Extracting #3: cost 420 inf + 117816 4.420 * * [simplify]: Extracting #4: cost 84 inf + 183149 4.495 * * [simplify]: Extracting #5: cost 0 inf + 200103 4.583 * * [simplify]: Extracting #6: cost 0 inf + 199697 4.690 * * [simplify]: Extracting #7: cost 0 inf + 199657 4.779 * [simplify]: Simplified to: (expm1 (/ 2.0 (* x x))) (log1p (/ 2.0 (* x x))) (log (/ 2.0 (* x x))) (log (/ 2.0 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x) (/ (cbrt 2.0) x))) (- (* (* (cbrt (- -1 (/ 2.0 x))) (cbrt (- -1 (/ 2.0 x)))) (cbrt (- -1 (/ 2.0 x)))) (/ 2.0 (* x x))) (* (/ 2.0 (* x x)) 0) (- (* (* (cbrt (- -1 (/ 2.0 x))) (cbrt (- -1 (/ 2.0 x)))) (cbrt (- -1 (/ 2.0 x)))) (/ 2.0 (* x x))) (* (/ 2.0 (* x x)) 0) (- (* (* (cbrt (- -1 (/ 2.0 x))) (cbrt (- -1 (/ 2.0 x)))) (cbrt (- -1 (/ 2.0 x)))) (/ 2.0 (* x x))) (* (/ 2.0 (* x x)) 0) (- (* (* (cbrt (- -1 (/ 2.0 x))) (cbrt (- -1 (/ 2.0 x)))) (cbrt (- -1 (/ 2.0 x)))) (/ 2.0 (* x x))) (* (/ 2.0 (* x x)) 0) (- -1 (fma (/ 2.0 x) (/ 1 x) (/ 2.0 x))) (* (/ 2.0 (* x x)) 0) (- -1 (fma (/ 2.0 x) (/ 1 x) (/ 2.0 x))) (* (/ 2.0 (* x x)) 0) (- (- -1 (/ 2.0 x)) (/ (/ (cbrt 2.0) x) (/ x (* (cbrt 2.0) (cbrt 2.0))))) (* (/ (cbrt 2.0) (/ x (cbrt 2.0))) (+ (/ (- (cbrt 2.0)) x) (/ (cbrt 2.0) x))) (- -1 (fma (/ 2.0 x) (/ 1 x) (/ 2.0 x))) (* (/ 2.0 (* x x)) 0) (- -1 (fma (/ 2.0 x) (/ 1 x) (/ 2.0 x))) (* (/ 2.0 (* x x)) 0) (- -1 (fma (/ 2.0 x) (/ 1 x) (/ 2.0 x))) (* (/ 2.0 (* x x)) 0) (- -1 (fma (/ 2.0 x) (/ 1 x) (/ 2.0 x))) (* (/ 2.0 (* x x)) 0) (- -1 (fma (/ 2.0 x) (/ 1 x) (/ 2.0 x))) (* (/ 2.0 (* x x)) 0) (- -1 (fma (/ 2.0 x) (/ 1 x) (/ 2.0 x))) (* (/ 2.0 (* x x)) 0) (- (- -1 (/ 2.0 x)) (/ (/ (cbrt 2.0) x) (/ x (* (cbrt 2.0) (cbrt 2.0))))) (* (/ (cbrt 2.0) (/ x (cbrt 2.0))) (+ (/ (- (cbrt 2.0)) x) (/ (cbrt 2.0) x))) (- -1 (fma (/ 2.0 x) (/ 1 x) (/ 2.0 x))) (* (/ 2.0 (* x x)) 0) (- -1 (fma (/ 2.0 x) (/ 1 x) (/ 2.0 x))) (* (/ 2.0 (* x x)) 0) (- -1 (fma (/ 2.0 x) (/ 1 x) (/ 2.0 x))) (* (/ 2.0 (* x x)) 0) (- -1 (fma (/ 2.0 x) (/ 1 x) (/ 2.0 x))) (* (/ 2.0 (* x x)) 0) (- (* (+ (sqrt -1) (sqrt (/ 2.0 x))) (- (sqrt -1) (sqrt (/ 2.0 x)))) (/ 2.0 (* x x))) (* (/ 2.0 (* x x)) 0) (- (* (+ (sqrt -1) (sqrt (/ 2.0 x))) (- (sqrt -1) (sqrt (/ 2.0 x)))) (/ 2.0 (* x x))) (* (/ 2.0 (* x x)) 0) (- (* (+ (sqrt -1) (sqrt (/ 2.0 x))) (- (sqrt -1) (sqrt (/ 2.0 x)))) (/ (/ (cbrt 2.0) x) (/ x (* (cbrt 2.0) (cbrt 2.0))))) (* (/ (cbrt 2.0) (/ x (cbrt 2.0))) (+ (/ (- (cbrt 2.0)) x) (/ (cbrt 2.0) x))) (- (* (+ (sqrt 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(* (- (sqrt -1) (/ (sqrt 2.0) (sqrt x))) (+ (/ (sqrt 2.0) (sqrt x)) (sqrt -1))) (/ 2.0 (* x x))) (* (/ 2.0 (* x x)) 0) (- (* (- (sqrt -1) (/ (sqrt 2.0) (sqrt x))) (+ (/ (sqrt 2.0) (sqrt x)) (sqrt -1))) (/ 2.0 (* x x))) (* (/ 2.0 (* x x)) 0) (- (* (- (sqrt -1) (/ (sqrt 2.0) (sqrt x))) (+ (/ (sqrt 2.0) (sqrt x)) (sqrt -1))) (/ 2.0 (* x x))) (* (/ 2.0 (* x x)) 0) (- -1 (fma (/ 2.0 x) (/ 1 x) (/ 2.0 x))) (* (/ 2.0 (* x x)) 0) (- -1 (fma (/ 2.0 x) (/ 1 x) (/ 2.0 x))) (* (/ 2.0 (* x x)) 0) (- (- -1 (/ 2.0 x)) (/ (/ (cbrt 2.0) x) (/ x (* (cbrt 2.0) (cbrt 2.0))))) (* (/ (cbrt 2.0) (/ x (cbrt 2.0))) (+ (/ (- (cbrt 2.0)) x) (/ (cbrt 2.0) x))) (- -1 (fma (/ 2.0 x) (/ 1 x) (/ 2.0 x))) (* (/ 2.0 (* x x)) 0) (- -1 (fma (/ 2.0 x) (/ 1 x) (/ 2.0 x))) (* (/ 2.0 (* x x)) 0) (- -1 (fma (/ 2.0 x) (/ 1 x) (/ 2.0 x))) (* (/ 2.0 (* x x)) 0) (- -1 (fma (/ 2.0 x) (/ 1 x) (/ 2.0 x))) (* (/ 2.0 (* x x)) 0) (expm1 (- -1 (fma (/ 2.0 x) (/ 1 x) (/ 2.0 x)))) (log1p (- -1 (fma (/ 2.0 x) (/ 1 x) (/ 2.0 x)))) (/ (- 2.0) (* x x)) (/ (- 2.0) (* x x)) (/ (- 2.0) (* x x)) (/ (- 2.0) (* x x)) (/ (- 2.0) (* x x)) (/ (- 2.0) (* x x)) (exp (- -1 (fma (/ 2.0 x) (/ 1 x) (/ 2.0 x)))) (exp (- -1 (fma (/ 2.0 x) (/ 1 x) (/ 2.0 x)))) (log (- -1 (fma (/ 2.0 x) (/ 1 x) (/ 2.0 x)))) (exp (- -1 (fma (/ 2.0 x) (/ 1 x) (/ 2.0 x)))) (* (cbrt (- -1 (fma (/ 2.0 x) (/ 1 x) (/ 2.0 x)))) (cbrt (- -1 (fma (/ 2.0 x) (/ 1 x) (/ 2.0 x))))) (cbrt (- -1 (fma (/ 2.0 x) (/ 1 x) (/ 2.0 x)))) (* (* (- -1 (fma (/ 2.0 x) (/ 1 x) (/ 2.0 x))) (- -1 (fma (/ 2.0 x) (/ 1 x) (/ 2.0 x)))) (- -1 (fma (/ 2.0 x) (/ 1 x) (/ 2.0 x)))) (sqrt (- -1 (fma (/ 2.0 x) (/ 1 x) (/ 2.0 x)))) (sqrt (- -1 (fma (/ 2.0 x) (/ 1 x) (/ 2.0 x)))) (- (* (- -1 (* (/ 2.0 x) (* (/ 2.0 x) (/ 2.0 x)))) (* x x)) (* 2.0 (- (fma (/ 2.0 x) (/ 2.0 x) 1) (/ 2.0 x)))) (* (* (- (fma (/ 2.0 x) (/ 2.0 x) 1) (/ 2.0 x)) x) x) (- (* (* x x) (- 1 (* (/ 2.0 x) (/ 2.0 x)))) (* (+ (/ 2.0 x) -1) 2.0)) (* (+ (/ 2.0 x) -1) (* x x)) (- (* (* (- -1 (/ 2.0 x)) (- -1 (/ 2.0 x))) (- -1 (/ 2.0 x))) (* (/ 2.0 (* x x)) (* (/ 2.0 (* x x)) (/ 2.0 (* x x))))) (fma (- -1 (/ 2.0 x)) (- -1 (/ 2.0 x)) (* (/ 2.0 (* x x)) (+ (- -1 (/ 2.0 x)) (/ 2.0 (* x x))))) (/ (- 2.0) (* x x)) (- (* (- -1 (/ 2.0 x)) (- -1 (/ 2.0 x))) (* (/ 2.0 (* x x)) (/ 2.0 (* x x)))) (fma (/ 2.0 x) (/ 1 x) (- -1 (/ 2.0 x))) (+ (sqrt (- -1 (/ 2.0 x))) (sqrt (/ 2.0 (* x x)))) (- (sqrt (- -1 (/ 2.0 x))) (sqrt (/ 2.0 (* x x)))) (+ (/ (sqrt 2.0) x) (sqrt (- -1 (/ 2.0 x)))) (- (sqrt (- -1 (/ 2.0 x))) (/ (sqrt 2.0) x)) (- -1 (fma (/ 2.0 x) (/ 1 x) (/ 2.0 x))) (- -1 (fma (/ 2.0 x) (/ 1 x) (/ 2.0 x))) (- (fma -1 (/ 2.0 x) (/ 2.0 x)) (/ 2.0 (* x x))) (- (fma -1 (/ 2.0 x) (/ 2.0 x)) (/ 2.0 (* x x))) (- (+ (* (* (/ (cbrt 2.0) (cbrt x)) (/ (cbrt 2.0) (cbrt x))) (/ (cbrt 2.0) (cbrt x))) (- (* (* (/ (cbrt 2.0) (cbrt x)) (/ (cbrt 2.0) (cbrt x))) (/ (cbrt 2.0) (cbrt x))))) (/ 2.0 (* x x))) (- (* (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt x)) (+ (/ (- (cbrt 2.0)) (sqrt x)) (/ (cbrt 2.0) (sqrt x)))) (/ 2.0 (* x x))) (- (+ (- (* (/ (cbrt 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x))) (- (* (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt x)) (+ (/ (- (cbrt 2.0)) (sqrt x)) (/ (cbrt 2.0) (sqrt x)))) (/ 2.0 (* x x))) (- (+ (- (* (/ (cbrt 2.0) x) (* (cbrt 2.0) (cbrt 2.0)))) (* (/ (cbrt 2.0) x) (* (cbrt 2.0) (cbrt 2.0)))) (/ 2.0 (* x x))) (- (+ (- (/ (/ 2.0 (cbrt x)) (* (cbrt x) (cbrt x)))) (/ (/ 2.0 (cbrt x)) (* (cbrt x) (cbrt x)))) (/ 2.0 (* x x))) (+ (- (* (/ (sqrt 2.0) (sqrt x)) (/ (sqrt 2.0) (sqrt x)))) (- (* (/ (sqrt 2.0) (sqrt x)) (/ (sqrt 2.0) (sqrt x))) (/ 2.0 (* x x)))) (- (fma -1 (/ 2.0 x) (/ 2.0 x)) (/ 2.0 (* x x))) (- (* (/ 1 (* (cbrt x) (cbrt x))) (+ (/ (- 2.0) (cbrt x)) (/ 2.0 (cbrt x)))) (/ 2.0 (* x x))) (- (* (/ 1 (sqrt x)) (+ (- (/ 2.0 (sqrt x))) (/ 2.0 (sqrt x)))) (/ 2.0 (* x x))) (- (fma -1 (/ 2.0 x) (/ 2.0 x)) (/ 2.0 (* x x))) (- (fma -1 (/ 2.0 x) (/ 2.0 x)) (/ 2.0 (* x x))) (- (fma (/ -1 x) 2.0 (/ 2.0 x)) (/ 2.0 (* x x))) (- (fma -1 (/ 2.0 x) (/ 2.0 x)) (/ 2.0 (* x x))) (- (fma -1 (/ 2.0 x) (/ 2.0 x)) (/ 2.0 (* x x))) (- (+ (* (* (/ (cbrt 2.0) (cbrt x)) (/ (cbrt 2.0) (cbrt x))) (/ (cbrt 2.0) (cbrt x))) (- (* (* (/ (cbrt 2.0) (cbrt x)) (/ (cbrt 2.0) (cbrt x))) (/ (cbrt 2.0) (cbrt x))))) (/ 2.0 (* x x))) (- (* (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt x)) (+ (/ (- (cbrt 2.0)) (sqrt x)) (/ (cbrt 2.0) (sqrt x)))) (/ 2.0 (* x x))) (- (+ (- (* (/ (cbrt 2.0) x) (* (cbrt 2.0) (cbrt 2.0)))) (* (/ (cbrt 2.0) x) (* (cbrt 2.0) (cbrt 2.0)))) (/ 2.0 (* x x))) (- (+ (- (/ (/ 2.0 (cbrt x)) (* (cbrt x) (cbrt x)))) (/ (/ 2.0 (cbrt x)) (* (cbrt x) (cbrt x)))) (/ 2.0 (* x x))) (+ (- (* (/ (sqrt 2.0) (sqrt x)) (/ (sqrt 2.0) (sqrt x)))) (- (* (/ (sqrt 2.0) (sqrt x)) (/ (sqrt 2.0) (sqrt x))) (/ 2.0 (* x x)))) (- (fma -1 (/ 2.0 x) (/ 2.0 x)) (/ 2.0 (* x x))) (- (* (/ 1 (* (cbrt x) (cbrt x))) (+ (/ (- 2.0) (cbrt x)) (/ 2.0 (cbrt x)))) (/ 2.0 (* x x))) (- (* (/ 1 (sqrt x)) (+ (- (/ 2.0 (sqrt x))) (/ 2.0 (sqrt x)))) (/ 2.0 (* x x))) (- (fma -1 (/ 2.0 x) (/ 2.0 x)) (/ 2.0 (* x x))) (- (fma -1 (/ 2.0 x) (/ 2.0 x)) (/ 2.0 (* x x))) (- (fma (/ -1 x) 2.0 (/ 2.0 x)) (/ 2.0 (* x x))) (fma (/ 1 x) (- (/ 2.0 x)) (- (/ 2.0 x))) (fma (/ 1 x) (- (/ 2.0 x)) (- (/ 2.0 x))) (fma (/ 2.0 x) (/ 1 x) (/ 2.0 x)) (/ (- 2.0) (* x x)) (/ 2.0 (* x x)) (/ 2.0 (* x x)) (/ 2.0 (* x x)) (- (+ (fma (/ 2.0 x) (/ 1 x) (/ 2.0 x)) 1)) (- (+ (fma (/ 2.0 x) (/ 1 x) (/ 2.0 x)) 1)) (- (+ (fma (/ 2.0 x) (/ 1 x) (/ 2.0 x)) 1)) 4.801 * * * [progress]: adding candidates to table 5.545 * * [progress]: iteration 3 / 4 5.545 * * * [progress]: picking best candidate 5.551 * * * * [pick]: Picked # 5.551 * * * [progress]: localizing error 5.562 * * * [progress]: generating rewritten candidates 5.562 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 5.568 * * * [progress]: generating series expansions 5.569 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 5.569 * [backup-simplify]: Simplify (+ (* x x) x) into (+ x (pow x 2)) 5.569 * [approximate]: Taking taylor expansion of (+ x (pow x 2)) in (x) around 0 5.569 * [taylor]: Taking taylor expansion of (+ x (pow x 2)) in x 5.569 * [taylor]: Taking taylor expansion of x in x 5.569 * [backup-simplify]: Simplify 0 into 0 5.569 * [backup-simplify]: Simplify 1 into 1 5.569 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.569 * [taylor]: Taking taylor expansion of x in x 5.569 * [backup-simplify]: Simplify 0 into 0 5.569 * [backup-simplify]: Simplify 1 into 1 5.569 * [taylor]: Taking taylor expansion of (+ x (pow x 2)) in x 5.569 * [taylor]: Taking taylor expansion of x in x 5.569 * [backup-simplify]: Simplify 0 into 0 5.569 * [backup-simplify]: Simplify 1 into 1 5.569 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.569 * [taylor]: Taking taylor expansion of x in x 5.569 * [backup-simplify]: Simplify 0 into 0 5.569 * [backup-simplify]: Simplify 1 into 1 5.569 * [backup-simplify]: Simplify (+ 0 0) into 0 5.570 * [backup-simplify]: Simplify 0 into 0 5.570 * [backup-simplify]: Simplify (+ 1 0) into 1 5.570 * [backup-simplify]: Simplify 1 into 1 5.570 * [backup-simplify]: Simplify (* 1 1) into 1 5.570 * [backup-simplify]: Simplify (+ 0 1) into 1 5.570 * [backup-simplify]: Simplify 1 into 1 5.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.571 * [backup-simplify]: Simplify (+ 0 0) into 0 5.571 * [backup-simplify]: Simplify 0 into 0 5.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.572 * [backup-simplify]: Simplify (+ 0 0) into 0 5.572 * [backup-simplify]: Simplify 0 into 0 5.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.573 * [backup-simplify]: Simplify (+ 0 0) into 0 5.573 * [backup-simplify]: Simplify 0 into 0 5.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.574 * [backup-simplify]: Simplify (+ 0 0) into 0 5.574 * [backup-simplify]: Simplify 0 into 0 5.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.575 * [backup-simplify]: Simplify (+ 0 0) into 0 5.575 * [backup-simplify]: Simplify 0 into 0 5.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.576 * [backup-simplify]: Simplify (+ 0 0) into 0 5.576 * [backup-simplify]: Simplify 0 into 0 5.576 * [backup-simplify]: Simplify (+ (* 1 (pow x 2)) (* 1 x)) into (+ x (pow x 2)) 5.576 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 x)) into (+ (/ 1 (pow x 2)) (/ 1 x)) 5.576 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in (x) around 0 5.576 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 5.576 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.576 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.576 * [taylor]: Taking taylor expansion of x in x 5.576 * [backup-simplify]: Simplify 0 into 0 5.576 * [backup-simplify]: Simplify 1 into 1 5.577 * [backup-simplify]: Simplify (* 1 1) into 1 5.577 * [backup-simplify]: Simplify (/ 1 1) into 1 5.577 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.577 * [taylor]: Taking taylor expansion of x in x 5.577 * [backup-simplify]: Simplify 0 into 0 5.577 * [backup-simplify]: Simplify 1 into 1 5.577 * [backup-simplify]: Simplify (/ 1 1) into 1 5.577 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 5.577 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.577 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.577 * [taylor]: Taking taylor expansion of x in x 5.577 * [backup-simplify]: Simplify 0 into 0 5.577 * [backup-simplify]: Simplify 1 into 1 5.577 * [backup-simplify]: Simplify (* 1 1) into 1 5.578 * [backup-simplify]: Simplify (/ 1 1) into 1 5.578 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.578 * [taylor]: Taking taylor expansion of x in x 5.578 * [backup-simplify]: Simplify 0 into 0 5.578 * [backup-simplify]: Simplify 1 into 1 5.578 * [backup-simplify]: Simplify (/ 1 1) into 1 5.578 * [backup-simplify]: Simplify (+ 1 0) into 1 5.578 * [backup-simplify]: Simplify 1 into 1 5.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.584 * [backup-simplify]: Simplify (+ 0 1) into 1 5.584 * [backup-simplify]: Simplify 1 into 1 5.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.586 * [backup-simplify]: Simplify (+ 0 0) into 0 5.586 * [backup-simplify]: Simplify 0 into 0 5.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.590 * [backup-simplify]: Simplify (+ 0 0) into 0 5.590 * [backup-simplify]: Simplify 0 into 0 5.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.593 * [backup-simplify]: Simplify (+ 0 0) into 0 5.593 * [backup-simplify]: Simplify 0 into 0 5.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.597 * [backup-simplify]: Simplify (+ 0 0) into 0 5.597 * [backup-simplify]: Simplify 0 into 0 5.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.601 * [backup-simplify]: Simplify (+ 0 0) into 0 5.601 * [backup-simplify]: Simplify 0 into 0 5.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 5.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.605 * [backup-simplify]: Simplify (+ 0 0) into 0 5.605 * [backup-simplify]: Simplify 0 into 0 5.605 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 x))) (* 1 (pow (/ 1 (/ 1 x)) 2))) into (+ x (pow x 2)) 5.605 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- x))) into (- (/ 1 (pow x 2)) (/ 1 x)) 5.606 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in (x) around 0 5.606 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 5.606 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.606 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.606 * [taylor]: Taking taylor expansion of x in x 5.606 * [backup-simplify]: Simplify 0 into 0 5.606 * [backup-simplify]: Simplify 1 into 1 5.606 * [backup-simplify]: Simplify (* 1 1) into 1 5.606 * [backup-simplify]: Simplify (/ 1 1) into 1 5.606 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.606 * [taylor]: Taking taylor expansion of x in x 5.606 * [backup-simplify]: Simplify 0 into 0 5.606 * [backup-simplify]: Simplify 1 into 1 5.607 * [backup-simplify]: Simplify (/ 1 1) into 1 5.607 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 5.607 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.607 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.607 * [taylor]: Taking taylor expansion of x in x 5.607 * [backup-simplify]: Simplify 0 into 0 5.607 * [backup-simplify]: Simplify 1 into 1 5.607 * [backup-simplify]: Simplify (* 1 1) into 1 5.608 * [backup-simplify]: Simplify (/ 1 1) into 1 5.608 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.608 * [taylor]: Taking taylor expansion of x in x 5.608 * [backup-simplify]: Simplify 0 into 0 5.608 * [backup-simplify]: Simplify 1 into 1 5.608 * [backup-simplify]: Simplify (/ 1 1) into 1 5.608 * [backup-simplify]: Simplify (+ 1 0) into 1 5.609 * [backup-simplify]: Simplify 1 into 1 5.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.610 * [backup-simplify]: Simplify (- 1) into -1 5.611 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.611 * [backup-simplify]: Simplify -1 into -1 5.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.613 * [backup-simplify]: Simplify (- 0) into 0 5.614 * [backup-simplify]: Simplify (+ 0 0) into 0 5.614 * [backup-simplify]: Simplify 0 into 0 5.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.617 * [backup-simplify]: Simplify (- 0) into 0 5.617 * [backup-simplify]: Simplify (+ 0 0) into 0 5.617 * [backup-simplify]: Simplify 0 into 0 5.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.620 * [backup-simplify]: Simplify (- 0) into 0 5.621 * [backup-simplify]: Simplify (+ 0 0) into 0 5.621 * [backup-simplify]: Simplify 0 into 0 5.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.625 * [backup-simplify]: Simplify (- 0) into 0 5.625 * [backup-simplify]: Simplify (+ 0 0) into 0 5.625 * [backup-simplify]: Simplify 0 into 0 5.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.629 * [backup-simplify]: Simplify (- 0) into 0 5.629 * [backup-simplify]: Simplify (+ 0 0) into 0 5.629 * [backup-simplify]: Simplify 0 into 0 5.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 5.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.633 * [backup-simplify]: Simplify (- 0) into 0 5.634 * [backup-simplify]: Simplify (+ 0 0) into 0 5.634 * [backup-simplify]: Simplify 0 into 0 5.634 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (/ 1 (- x)))) (* 1 (pow (/ 1 (/ 1 (- x))) 2))) into (+ x (pow x 2)) 5.634 * * * [progress]: simplifying candidates 5.635 * [simplify]: Simplifying: (expm1 (+ (* x x) x)) (log1p (+ (* x x) x)) (* (exp (* x x)) (exp x)) (log (+ (* x x) x)) (exp (+ (* x x) x)) (* (cbrt (+ (* x x) x)) (cbrt (+ (* x x) x))) (cbrt (+ (* x x) x)) (* (* (+ (* x x) x) (+ (* x x) x)) (+ (* x x) x)) (sqrt (+ (* x x) x)) (sqrt (+ (* x x) x)) (+ (pow (* x x) 3) (pow x 3)) (+ (* (* x x) (* x x)) (- (* x x) (* (* x x) x))) (- (* (* x x) (* x x)) (* x x)) (- (* x x) x) (+ x 1) (+ x 1) (+ x (pow x 2)) (+ x (pow x 2)) (+ x (pow x 2)) 5.635 * * [simplify]: iteration 0: 30 enodes 5.648 * * [simplify]: iteration 1: 98 enodes 5.748 * * [simplify]: iteration 2: 587 enodes 6.156 * * [simplify]: iteration complete: 5000 enodes 6.156 * * [simplify]: Extracting #0: cost 14 inf + 0 6.157 * * [simplify]: Extracting #1: cost 695 inf + 0 6.163 * * [simplify]: Extracting #2: cost 2059 inf + 4516 6.180 * * [simplify]: Extracting #3: cost 1215 inf + 109178 6.231 * * [simplify]: Extracting #4: cost 147 inf + 245447 6.292 * * [simplify]: Extracting #5: cost 7 inf + 274769 6.343 * * [simplify]: Extracting #6: cost 0 inf + 276772 6.386 * [simplify]: Simplified to: (expm1 (fma x x x)) (log1p (fma x x x)) (exp (fma x x x)) (log (fma x x x)) (exp (fma x x x)) (* (cbrt (fma x x x)) (cbrt (fma x x x))) (cbrt (fma x x x)) (* (fma x x x) (* (fma x x x) (fma x x x))) (sqrt (fma x x x)) (sqrt (fma x x x)) (fma (* (* x x) x) (* (* x x) x) (* (* x x) x)) (- (* x x) (* (* x x) (- x (* x x)))) (- (* (* x x) (* x x)) (* x x)) (- (* x x) x) (+ 1 x) (+ 1 x) (fma x x x) (fma x x x) (fma x x x) 6.387 * * * [progress]: adding candidates to table 6.445 * [progress]: [Phase 3 of 3] Extracting. 6.445 * * [regime]: Finding splitpoints for: (# # #) 6.445 * * * [regime-changes]: Trying 2 branch expressions: ((/ (+ x 1.0) (- 1.0 x)) x) 6.445 * * * * [regimes]: Trying to branch on (/ (+ x 1.0) (- 1.0 x)) from (# # #) 6.464 * * * * [regimes]: Trying to branch on x from (# # #) 6.498 * * * [regime]: Found split indices: #