* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 131 additional inputs, on iter 1 have 125 / 256 * * * * [misc]points: Computing exacts on every 8 of 131 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 131 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 131 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 131 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 61 additional inputs, on iter 2 have 195 / 256 * * * * [misc]points: Computing exacts on every 3 of 61 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 61 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 32 additional inputs, on iter 3 have 224 / 256 * * * * [misc]points: Computing exacts on every 2 of 32 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 32 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 4 have 240 / 256 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 10 additional inputs, on iter 5 have 246 / 256 * * * * [misc]points: Computing exacts for 10 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 6 have 252 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 254 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 258 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (sqrt (+ x 1)) (sqrt x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (sqrt (+ 1 x)) (sqrt x)) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (sqrt (+ x 1)) (sqrt x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (+ x 1)) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (- (sqrt (+ x 1)) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (* +nan.0 (pow +nan.0 2)) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ -1/8 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 1 (+ (* (- +nan.0) (pow x 2)) (* (- +nan.0) x))) into (- 1 (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))) * [misc]approximate: Taking taylor expansion of (- (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (* +nan.0 (pow +nan.0 2)) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 +nan.0)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 (* +nan.0 (pow +nan.0 2)))) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (* +nan.0 (pow +nan.0 2)) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (- +nan.0))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * [misc]approximate: Taking taylor expansion of (- (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (* +nan.0 (pow +nan.0 2)) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 +nan.0)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 (* +nan.0 (pow +nan.0 2)))) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (* +nan.0 (pow +nan.0 2)) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (sqrt (+ x 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ 1 (+ (* -1/8 (pow x 2)) (* 1/2 x))) into (- (+ 1 (* 1/2 x)) (* 1/8 (pow x 2))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 +nan.0)) 0) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow (/ 1 x) 2)) (+ (* +nan.0 (/ 1 x)) +nan.0)) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 +nan.0)) 0) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow (/ 1 (- x)) 2)) (+ (* +nan.0 (/ 1 (- x))) +nan.0)) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (sqrt (+ x 1))) (exp (sqrt x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (exp (- (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (exp (- (sqrt (+ 1 x)) (sqrt x))) * * * * [misc]progress: [ 2 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (log (- (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (log (- (sqrt (+ 1 x)) (sqrt x))) * * * * [misc]progress: [ 4 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (exp (- (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (exp (- (sqrt (+ 1 x)) (sqrt x))) * * * * [misc]progress: [ 5 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (sqrt (+ x 1)) (sqrt x))) (cbrt (- (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (+ 1 x)) (sqrt x))) (cbrt (- (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (+ 1 x)) (sqrt x))) (cbrt (- (sqrt (+ 1 x)) (sqrt x)))) * [enter]simplify: Simplifying (cbrt (- (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (cbrt (- (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (cbrt (- (sqrt (+ 1 x)) (sqrt x))) * * * * [misc]progress: [ 6 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * [exit]simplify: Simplified to (pow (- (sqrt (+ 1 x)) (sqrt x)) 3) * [exit]simplify: Simplified to (pow (- (sqrt (+ 1 x)) (sqrt x)) 3) * * * * [misc]progress: [ 7 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (- (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (sqrt (- (sqrt (+ 1 x)) (sqrt x))) * [enter]simplify: Simplifying (sqrt (- (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (- (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (sqrt (- (sqrt (+ 1 x)) (sqrt x))) * * * * [misc]progress: [ 8 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (- (* (+ 1 x) (sqrt (+ 1 x))) (* x (sqrt x))) * [exit]simplify: Simplified to (- (* (+ 1 x) (sqrt (+ 1 x))) (* x (sqrt x))) * [enter]simplify: Simplifying (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (+ (+ (+ 1 x) x) (* (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (+ (+ (+ 1 x) x) (* (sqrt (+ 1 x)) (sqrt x))) * * * * [misc]progress: [ 9 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sqrt x)) * [exit]simplify: Simplified to (- (sqrt x)) * * * * [misc]progress: [ 10 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (+ (sqrt (+ x 1)) (sqrt x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (+ (sqrt (+ 1 x)) (sqrt x)) * [exit]simplify: Simplified to (+ (sqrt (+ 1 x)) (sqrt x)) * * * * [misc]progress: [ 12 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ (sqrt (sqrt (+ 1 x))) (sqrt (sqrt x))) * [exit]simplify: Simplified to (+ (sqrt (sqrt (+ 1 x))) (sqrt (sqrt x))) * [enter]simplify: Simplifying (- (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (+ 1 x))) (sqrt (sqrt x))) * [exit]simplify: Simplified to (- (sqrt (sqrt (+ 1 x))) (sqrt (sqrt x))) * * * * [misc]progress: [ 13 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ (sqrt (sqrt (+ 1 x))) (sqrt (sqrt x))) * [exit]simplify: Simplified to (+ (sqrt (sqrt (+ 1 x))) (sqrt (sqrt x))) * [enter]simplify: Simplifying (- (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (+ 1 x))) (sqrt (sqrt x))) * [exit]simplify: Simplified to (- (sqrt (sqrt (+ 1 x))) (sqrt (sqrt x))) * * * * [misc]progress: [ 14 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (+ x 1)) (sqrt x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (sqrt (+ 1 x)) (sqrt x)) * [exit]simplify: Simplified to (- (sqrt (+ 1 x)) (sqrt x)) * * * * [misc]progress: [ 15 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sqrt x)) * [exit]simplify: Simplified to (- (sqrt x)) * * * * [misc]progress: [ 16 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (sqrt (+ 1 x))) * [exit]simplify: Simplified to (log (sqrt (+ 1 x))) * * * * [misc]progress: [ 19 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (exp (sqrt (+ 1 x))) * [exit]simplify: Simplified to (exp (sqrt (+ 1 x))) * * * * [misc]progress: [ 20 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))) * [enter]simplify: Simplifying (cbrt (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 x))) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 x))) * * * * [misc]progress: [ 21 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 x)) (+ 1 x)) * [exit]simplify: Simplified to (* (sqrt (+ 1 x)) (+ 1 x)) * * * * [misc]progress: [ 22 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ 1 x))) * [exit]simplify: Simplified to (fabs (cbrt (+ 1 x))) * [enter]simplify: Simplifying (sqrt (cbrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 x))) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 x))) * * * * [misc]progress: [ 23 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * [enter]simplify: Simplifying (sqrt (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * * * * [misc]progress: [ 24 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (+ x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 x)) * [exit]simplify: Simplified to (sqrt (+ 1 x)) * * * * [misc]progress: [ 25 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow x 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (pow x 3))) * [exit]simplify: Simplified to (sqrt (+ 1 (pow x 3))) * [enter]simplify: Simplifying (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (sqrt (+ (* x x) (- 1 x))) * [exit]simplify: Simplified to (sqrt (+ (* x x) (- 1 x))) * * * * [misc]progress: [ 26 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* x x) (* 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (sqrt (- (* x x) 1)) * [exit]simplify: Simplified to (sqrt (- (* x x) 1)) * [enter]simplify: Simplifying (sqrt (- x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (sqrt (- x 1)) * [exit]simplify: Simplified to (sqrt (- x 1)) * * * * [misc]progress: [ 27 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * [enter]simplify: Simplifying (sqrt (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * * * * [misc]progress: [ 28 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))) * * * * [misc]progress: [ 31 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * * * * [misc]progress: [ 32 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * * * * [misc]progress: [ 33 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ 1 (* 1/2 x)) (* 1/8 (pow x 2))) (sqrt x)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * * [misc]simplify: iters left: 1 (428 enodes) * [exit]simplify: Simplified to (- (* x (- 1/2 (* x 1/8))) (- (sqrt x) 1)) * * * * [misc]progress: [ 34 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) (sqrt x)) * * * * [misc]progress: [ 35 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) (sqrt x)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ -1/8 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (- +nan.0) (* +nan.0 (- +nan.0))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 1 (+ (* (- +nan.0) (pow x 2)) (* +nan.0 x))) into (- 1 (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))) * [misc]approximate: Taking taylor expansion of (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ 1 (- +nan.0)) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ 1 (- +nan.0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (* +nan.0 (/ (- +nan.0) (- +nan.0))) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 +nan.0)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 (* +nan.0 (pow +nan.0 2)))) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* +nan.0 (/ (- +nan.0) (- +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* +nan.0 (/ 1 x)) +nan.0)) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * [misc]approximate: Taking taylor expansion of (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ 1 (- +nan.0)) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ 1 (- +nan.0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (* +nan.0 (/ (- +nan.0) (- +nan.0))) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 +nan.0)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 (* +nan.0 (pow +nan.0 2)))) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* +nan.0 (/ (- +nan.0) (- +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* +nan.0 (/ 1 (- x))) +nan.0)) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ -1/8 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 1 (+ (* (- +nan.0) (pow x 2)) (* (- +nan.0) x))) into (- 1 (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))) * [misc]approximate: Taking taylor expansion of (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 +nan.0)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 (* +nan.0 (pow +nan.0 2)))) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (- +nan.0))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * [misc]approximate: Taking taylor expansion of (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 +nan.0)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 (* +nan.0 (pow +nan.0 2)))) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (+ x 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ 1 (+ (* -1/8 (pow x 2)) (* 1/2 x))) into (- (+ 1 (* 1/2 x)) (* 1/8 (pow x 2))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 +nan.0)) 0) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow (/ 1 x) 2)) (+ (* +nan.0 (/ 1 x)) +nan.0)) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 +nan.0)) 0) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow (/ 1 (- x)) 2)) (+ (* +nan.0 (/ 1 (- x))) +nan.0)) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * * * * [misc]progress: [ 3 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (log (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (- (log (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 5 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (- (log (+ (sqrt (+ x 1)) (sqrt x)))) * [exit]simplify: Simplified to (- (log (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 6 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (exp (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * [exit]simplify: Simplified to (exp (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 7 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (* (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * [enter]simplify: Simplifying (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * [exit]simplify: Simplified to (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 8 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (* (+ (sqrt (+ x 1)) (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x)))) * [exit]simplify: Simplified to (/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (* (+ (sqrt (+ x 1)) (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 9 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * [exit]simplify: Simplified to (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * [enter]simplify: Simplifying (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * [exit]simplify: Simplified to (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 10 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * [enter]simplify: Simplifying (- (+ (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (- (- (sqrt x)) (sqrt (+ 1 x))) * [exit]simplify: Simplified to (- (- (sqrt x)) (sqrt (+ 1 x))) * * * * [misc]progress: [ 11 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) * * * * [misc]progress: [ 13 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (+ x 1)) (sqrt x)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (+ (sqrt (+ 1 x)) (sqrt x)) * [exit]simplify: Simplified to (+ (sqrt (+ 1 x)) (sqrt x)) * * * * [misc]progress: [ 14 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 15 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 16 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 17 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 18 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ 1 (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x))) * [exit]simplify: Simplified to (/ 1 (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x))) * * * * [misc]progress: [ 19 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ 1 1) * [exit]simplify: Simplified to (/ 1 1) * * * * [misc]progress: [ 20 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (sqrt (+ x 1))) (exp (sqrt x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (exp (+ (sqrt x) (sqrt (+ 1 x)))) * [exit]simplify: Simplified to (exp (+ (sqrt x) (sqrt (+ 1 x)))) * * * * [misc]progress: [ 21 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (log (+ (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (log (+ (sqrt (+ 1 x)) (sqrt x))) * * * * [misc]progress: [ 23 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (exp (+ (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (exp (+ (sqrt (+ 1 x)) (sqrt x))) * * * * [misc]progress: [ 24 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [enter]simplify: Simplifying (cbrt (+ (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) * * * * [misc]progress: [ 25 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (sqrt (+ x 1)) (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * [exit]simplify: Simplified to (pow (+ (sqrt (+ 1 x)) (sqrt x)) 3) * [exit]simplify: Simplified to (pow (+ (sqrt (+ 1 x)) (sqrt x)) 3) * * * * [misc]progress: [ 26 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) * [enter]simplify: Simplifying (sqrt (+ (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) * * * * [misc]progress: [ 27 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (+ (* (+ 1 x) (sqrt (+ 1 x))) (* x (sqrt x))) * [exit]simplify: Simplified to (+ (* (+ 1 x) (sqrt (+ 1 x))) (* x (sqrt x))) * [enter]simplify: Simplifying (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (147 enodes) * [exit]simplify: Simplified to (- (+ (+ 1 x) x) (* (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (- (+ (+ 1 x) x) (* (sqrt (+ 1 x)) (sqrt x))) * * * * [misc]progress: [ 28 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (- (sqrt (+ x 1)) (sqrt x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (sqrt (+ 1 x)) (sqrt x)) * [exit]simplify: Simplified to (- (sqrt (+ 1 x)) (sqrt x)) * * * * [misc]progress: [ 30 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (+ x 1)) (sqrt x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (+ (sqrt (+ 1 x)) (sqrt x)) * [exit]simplify: Simplified to (+ (sqrt (+ 1 x)) (sqrt x)) * * * * [misc]progress: [ 31 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (sqrt (+ 1 x))) * [exit]simplify: Simplified to (log (sqrt (+ 1 x))) * * * * [misc]progress: [ 35 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (exp (sqrt (+ 1 x))) * [exit]simplify: Simplified to (exp (sqrt (+ 1 x))) * * * * [misc]progress: [ 36 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))) * [enter]simplify: Simplifying (cbrt (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 x))) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 x))) * * * * [misc]progress: [ 37 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 x)) (+ 1 x)) * [exit]simplify: Simplified to (* (sqrt (+ 1 x)) (+ 1 x)) * * * * [misc]progress: [ 38 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ 1 x))) * [exit]simplify: Simplified to (fabs (cbrt (+ 1 x))) * [enter]simplify: Simplifying (sqrt (cbrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 x))) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 x))) * * * * [misc]progress: [ 39 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * [enter]simplify: Simplifying (sqrt (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * * * * [misc]progress: [ 40 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (+ x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 x)) * [exit]simplify: Simplified to (sqrt (+ 1 x)) * * * * [misc]progress: [ 41 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow x 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (pow x 3))) * [exit]simplify: Simplified to (sqrt (+ 1 (pow x 3))) * [enter]simplify: Simplifying (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (sqrt (+ (* x x) (- 1 x))) * [exit]simplify: Simplified to (sqrt (+ (* x x) (- 1 x))) * * * * [misc]progress: [ 42 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* x x) (* 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (sqrt (- (* x x) 1)) * [exit]simplify: Simplified to (sqrt (- (* x x) 1)) * [enter]simplify: Simplifying (sqrt (- x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (sqrt (- x 1)) * [exit]simplify: Simplified to (sqrt (- x 1)) * * * * [misc]progress: [ 43 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * [enter]simplify: Simplifying (sqrt (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * * * * [misc]progress: [ 44 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))) * * * * [misc]progress: [ 47 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * * * * [misc]progress: [ 48 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * * * * [misc]progress: [ 49 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- 1 (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x))))) * * * * [misc]progress: [ 50 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2))))))))) * * * * [misc]progress: [ 51 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2))))))))) * * * * [misc]progress: [ 52 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (- (+ 1 (* 1/2 x)) (* 1/8 (pow x 2))) (sqrt x))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (215 enodes) * * [misc]simplify: iters left: 1 (399 enodes) * [exit]simplify: Simplified to (/ 1 (+ (+ 1 (sqrt x)) (* (- 1/2 (* x 1/8)) x))) * * * * [misc]progress: [ 53 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) (sqrt x))) * * * * [misc]progress: [ 54 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) (sqrt x))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1)) (sqrt x))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) 2) into +nan.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1)) (sqrt x))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) 2) into +nan.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ -1/8 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (+ (- +nan.0) (pow +nan.0 2)) 2) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 1 (+ (* (- +nan.0) (pow x 2)) (* +nan.0 x))) into (- 1 (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))) * [misc]approximate: Taking taylor expansion of (/ 1 (sqrt (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (* (/ 1 (sqrt +nan.0)) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0))) into (/ +nan.0 (pow (sqrt +nan.0) 3)) * [misc]backup-simplify: Simplify (/ +nan.0 (pow (sqrt +nan.0) 3)) into (/ +nan.0 (pow (sqrt +nan.0) 3)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 +nan.0)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 (* +nan.0 (pow +nan.0 2)))) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (+ (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt +nan.0)) (/ (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (sqrt +nan.0))) (* (/ +nan.0 (pow (sqrt +nan.0) 3)) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5)))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5)))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5)))))) (pow (/ 1 x) 2)) (+ (* (/ +nan.0 (pow (sqrt +nan.0) 3)) (/ 1 x)) (/ 1 (sqrt +nan.0)))) into (- (/ 1 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) x))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 5) (pow x 2))))))))) * [misc]approximate: Taking taylor expansion of (/ 1 (sqrt (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (* (/ 1 (sqrt +nan.0)) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0))) into (/ +nan.0 (pow (sqrt +nan.0) 3)) * [misc]backup-simplify: Simplify (/ +nan.0 (pow (sqrt +nan.0) 3)) into (/ +nan.0 (pow (sqrt +nan.0) 3)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 +nan.0)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 (* +nan.0 (pow +nan.0 2)))) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (+ (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt +nan.0)) (/ (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (sqrt +nan.0))) (* (/ +nan.0 (pow (sqrt +nan.0) 3)) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5)))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5)))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5)))))) (pow (/ 1 (- x)) 2)) (+ (* (/ +nan.0 (pow (sqrt +nan.0) 3)) (/ 1 (- x))) (/ 1 (sqrt +nan.0)))) into (- (/ 1 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) x))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 5) (pow x 2))))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1)) (sqrt x))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) 2) into +nan.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1)) (sqrt x))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) 2) into +nan.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1)) (sqrt x))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) 2) into +nan.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1)) (sqrt x))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) 2) into +nan.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ -1/8 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (+ (- +nan.0) (pow +nan.0 2)) 2) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ -1/8 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (+ (- +nan.0) (pow +nan.0 2)) 2) into +nan.0 * [misc]backup-simplify: Simplify (+ (- +nan.0) (+ +nan.0 (* (- +nan.0) +nan.0))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 1 (+ (* (- +nan.0) (pow x 2)) (* (- +nan.0) x))) into (- 1 (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (sqrt (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) (sqrt (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (sqrt (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) (sqrt (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (/ (/ 1 (sqrt +nan.0)) (sqrt +nan.0)) into (/ 1 (pow (sqrt +nan.0) 2)) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (sqrt (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) (sqrt (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (/ (/ 1 (sqrt +nan.0)) (sqrt +nan.0)) into (/ 1 (pow (sqrt +nan.0) 2)) * [misc]backup-simplify: Simplify (/ 1 (pow (sqrt +nan.0) 2)) into (/ 1 (pow (sqrt +nan.0) 2)) * [misc]backup-simplify: Simplify (* (/ 1 (sqrt +nan.0)) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0))) into (/ +nan.0 (pow (sqrt +nan.0) 3)) * [misc]backup-simplify: Simplify (+ (/ (/ +nan.0 (pow (sqrt +nan.0) 3)) (sqrt +nan.0)) (* (/ 1 (pow (sqrt +nan.0) 2)) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0)))) into (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4)))) into (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 +nan.0)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 (* +nan.0 (pow +nan.0 2)))) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (+ (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt +nan.0)) (/ (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (sqrt +nan.0))) (* (/ +nan.0 (pow (sqrt +nan.0) 3)) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5)))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 +nan.0)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 (* +nan.0 (pow +nan.0 2)))) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (+ (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (+ (/ (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5)))))) (sqrt +nan.0)) (+ (* (/ 1 (pow (sqrt +nan.0) 2)) (/ (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (sqrt +nan.0))) (* (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4)))) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 6)))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 6)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 6)))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 6)))))) (pow (/ 1 x) 2)) (+ (* (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4)))) (/ 1 x)) (/ 1 (pow (sqrt +nan.0) 2)))) into (- (/ 1 (pow (sqrt +nan.0) 2)) (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 6) (pow x 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 4) (pow x 2)))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 4) x)))))))) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (sqrt (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) (sqrt (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (sqrt (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) (sqrt (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (/ (/ 1 (sqrt +nan.0)) (sqrt +nan.0)) into (/ 1 (pow (sqrt +nan.0) 2)) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (sqrt (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) (sqrt (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (/ (/ 1 (sqrt +nan.0)) (sqrt +nan.0)) into (/ 1 (pow (sqrt +nan.0) 2)) * [misc]backup-simplify: Simplify (/ 1 (pow (sqrt +nan.0) 2)) into (/ 1 (pow (sqrt +nan.0) 2)) * [misc]backup-simplify: Simplify (* (/ 1 (sqrt +nan.0)) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0))) into (/ +nan.0 (pow (sqrt +nan.0) 3)) * [misc]backup-simplify: Simplify (+ (/ (/ +nan.0 (pow (sqrt +nan.0) 3)) (sqrt +nan.0)) (* (/ 1 (pow (sqrt +nan.0) 2)) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0)))) into (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4)))) into (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 +nan.0)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 (* +nan.0 (pow +nan.0 2)))) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (+ (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt +nan.0)) (/ (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (sqrt +nan.0))) (* (/ +nan.0 (pow (sqrt +nan.0) 3)) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5)))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 +nan.0)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 (* +nan.0 (pow +nan.0 2)))) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (+ (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (+ (/ (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5)))))) (sqrt +nan.0)) (+ (* (/ 1 (pow (sqrt +nan.0) 2)) (/ (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (sqrt +nan.0))) (* (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4)))) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 6)))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 6)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 6)))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 6)))))) (pow (/ 1 (- x)) 2)) (+ (* (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4)))) (/ 1 (- x))) (/ 1 (pow (sqrt +nan.0) 2)))) into (- (/ 1 (pow (sqrt +nan.0) 2)) (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 6) (pow x 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 4) (pow x 2)))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 4) x)))))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1)) (sqrt x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1)) (sqrt x))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) 2) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1)) (sqrt x))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) 2) into +nan.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ -1/8 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (+ (- +nan.0) (pow +nan.0 2)) 2) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ 1 (+ (* +nan.0 (pow x 2)) (* +nan.0 x))) into (- 1 (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) * [misc]backup-simplify: Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 +nan.0)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 (* +nan.0 (pow +nan.0 2)))) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (+ (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 x) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 x)) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow x 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) x)))))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) * [misc]backup-simplify: Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 +nan.0)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 (* +nan.0 (pow +nan.0 2)))) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (+ (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 (- x)) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 (- x))) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow x 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) x)))))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1)) (sqrt x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1)) (sqrt x))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) 2) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1)) (sqrt x))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) 2) into +nan.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ -1/8 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (+ (- +nan.0) (pow +nan.0 2)) 2) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ 1 (+ (* +nan.0 (pow x 2)) (* +nan.0 x))) into (- 1 (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) * [misc]backup-simplify: Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 +nan.0)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 (* +nan.0 (pow +nan.0 2)))) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (+ (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 x) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 x)) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow x 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) x)))))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) * [misc]backup-simplify: Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 +nan.0)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 (* +nan.0 (pow +nan.0 2)))) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (+ (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 (- x)) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 (- x))) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow x 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) x)))))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1/2) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- 1/2) * [exit]simplify: Simplified to (- 1/2) * * * * [misc]progress: [ 3 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * * * * [misc]progress: [ 4 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (- (log (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (- (log (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 6 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (log (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (log (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 7 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (exp (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (exp (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 8 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) * [enter]simplify: Simplifying (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 9 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * [exit]simplify: Simplified to (/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 10 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [enter]simplify: Simplifying (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 11 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * [enter]simplify: Simplifying (- (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (- (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 12 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 14 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (sqrt (+ x 1)) (sqrt x))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) * * * * [misc]progress: [ 15 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) * * * * [misc]progress: [ 16 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 17 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 18 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * * * * [misc]progress: [ 19 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * * * * [misc]progress: [ 20 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 21 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 22 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x)))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x)))) * * * * [misc]progress: [ 23 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * * * * [misc]progress: [ 24 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (- -1 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- -1 1) * [exit]simplify: Simplified to (- -1 1) * * * * [misc]progress: [ 25 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- 1/2) 1/2) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (- (- 1/2) 1/2) * [exit]simplify: Simplified to (- (- 1/2) 1/2) * * * * [misc]progress: [ 26 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (- (- 1) 1) * [exit]simplify: Simplified to (- (- 1) 1) * * * * [misc]progress: [ 27 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (log (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (- (- (log (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (log (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (- (- (log (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (log (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 29 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (log (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (292 enodes) * [exit]simplify: Simplified to (+ (log (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (log (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) * [exit]simplify: Simplified to (+ (log (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (log (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) * * * * [misc]progress: [ 30 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (- (log (+ (sqrt (+ x 1)) (sqrt x)))) * [exit]simplify: Simplified to (- (log (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 31 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (exp (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * [exit]simplify: Simplified to (exp (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 32 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (* (* (sqrt (+ (sqrt (+ x 1)) (sqrt x))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (321 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (* (+ (sqrt (+ x 1)) (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x)))) * [exit]simplify: Simplified to (/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (* (+ (sqrt (+ x 1)) (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 33 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (* (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * [enter]simplify: Simplifying (cbrt (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * [exit]simplify: Simplified to (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 34 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (240 enodes) * * [misc]simplify: iters left: 1 (450 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (* (+ (sqrt (+ x 1)) (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x)))) * [exit]simplify: Simplified to (/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (* (+ (sqrt (+ x 1)) (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 35 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * [exit]simplify: Simplified to (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * [enter]simplify: Simplifying (sqrt (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * [exit]simplify: Simplified to (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 36 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (- 1) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * [exit]simplify: Simplified to (/ (- 1) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * [enter]simplify: Simplifying (- (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (- (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 37 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) (* (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 38 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) (sqrt (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) (fabs (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ (* (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) (fabs (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 39 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 40 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt 1))) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt 1))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 41 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt 1))) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt 1))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 42 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 43 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 44 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (* (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (* (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (* (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 45 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (fabs (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (fabs (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 46 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 47 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt 1)) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt 1)) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 48 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt 1)) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt 1)) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 49 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 50 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 51 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 52 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 53 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 54 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) * * * * [misc]progress: [ 55 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) * * * * [misc]progress: [ 56 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 57 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) * * * * [misc]progress: [ 58 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 59 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 60 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 61 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) * * * * [misc]progress: [ 62 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) * * * * [misc]progress: [ 63 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 64 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) * * * * [misc]progress: [ 65 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)))) (* (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (sqrt (+ x 1)) (+ x 1)) (* (sqrt x) x)))) (* (cbrt (sqrt (+ (sqrt x) (sqrt (+ x 1))))) (cbrt (sqrt (+ (sqrt x) (sqrt (+ x 1))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (sqrt (+ x 1)) (+ x 1)) (* (sqrt x) x)))) (* (cbrt (sqrt (+ (sqrt x) (sqrt (+ x 1))))) (cbrt (sqrt (+ (sqrt x) (sqrt (+ x 1))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (+ (+ 1 x) x) (* (sqrt (+ 1 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt x) (sqrt (+ 1 x)))))) * [exit]simplify: Simplified to (/ (sqrt (- (+ (+ 1 x) x) (* (sqrt (+ 1 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt x) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 66 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)))) (sqrt (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x)))) (fabs (cbrt (+ (sqrt x) (sqrt (+ x 1)))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x)))) (fabs (cbrt (+ (sqrt x) (sqrt (+ x 1)))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1)) (sqrt x))))) (sqrt (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (+ (+ 1 x) x) (* (sqrt (+ 1 x)) (sqrt x)))) (sqrt (cbrt (+ (sqrt x) (sqrt (+ 1 x)))))) * [exit]simplify: Simplified to (/ (sqrt (- (+ (+ 1 x) x) (* (sqrt (+ 1 x)) (sqrt x)))) (sqrt (cbrt (+ (sqrt x) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 67 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x)))) (sqrt (sqrt (+ (sqrt x) (sqrt (+ x 1)))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x)))) (sqrt (sqrt (+ (sqrt x) (sqrt (+ x 1)))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (+ (+ 1 x) x) (* (sqrt (+ 1 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt x) (sqrt (+ 1 x)))))) * [exit]simplify: Simplified to (/ (sqrt (- (+ (+ 1 x) x) (* (sqrt (+ 1 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt x) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 68 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (sqrt (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x)))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (sqrt (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x)))) * [enter]simplify: Simplifying (/ (sqrt (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (+ (+ 1 x) x) (* (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt x) (sqrt (+ 1 x))))) * [exit]simplify: Simplified to (/ (sqrt (- (+ (+ 1 x) x) (* (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt x) (sqrt (+ 1 x))))) * * * * [misc]progress: [ 69 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (sqrt (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x)))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (sqrt (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x)))) * [enter]simplify: Simplifying (/ (sqrt (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (+ (+ 1 x) x) (* (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt x) (sqrt (+ 1 x))))) * [exit]simplify: Simplified to (/ (sqrt (- (+ (+ 1 x) x) (* (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt x) (sqrt (+ 1 x))))) * * * * [misc]progress: [ 70 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x)))) (sqrt (sqrt (+ (sqrt x) (sqrt (+ x 1)))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x)))) (sqrt (sqrt (+ (sqrt x) (sqrt (+ x 1)))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (+ (+ 1 x) x) (* (sqrt (+ 1 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt x) (sqrt (+ 1 x)))))) * [exit]simplify: Simplified to (/ (sqrt (- (+ (+ 1 x) x) (* (sqrt (+ 1 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt x) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 71 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x)))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x)))) * [enter]simplify: Simplifying (/ (sqrt (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (+ (+ 1 x) x) (* (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt x) (sqrt (+ 1 x))))) * [exit]simplify: Simplified to (/ (sqrt (- (+ (+ 1 x) x) (* (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt x) (sqrt (+ 1 x))))) * * * * [misc]progress: [ 72 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))))) (* (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt 1)) (cbrt (sqrt (+ (sqrt x) (sqrt (+ x 1)))))) (cbrt (sqrt (+ (sqrt x) (sqrt (+ x 1)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt 1)) (cbrt (sqrt (+ (sqrt x) (sqrt (+ x 1)))))) (cbrt (sqrt (+ (sqrt x) (sqrt (+ x 1)))))) * [enter]simplify: Simplifying (/ (sqrt (- (sqrt (+ x 1)) (sqrt x))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 73 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))))) (sqrt (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (fabs (cbrt (+ (sqrt x) (sqrt (+ x 1)))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (fabs (cbrt (+ (sqrt x) (sqrt (+ x 1)))))) * [enter]simplify: Simplifying (/ (sqrt (- (sqrt (+ x 1)) (sqrt x))) (sqrt (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 74 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ (sqrt x) (sqrt (+ x 1)))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ (sqrt x) (sqrt (+ x 1)))))) * [enter]simplify: Simplifying (/ (sqrt (- (sqrt (+ x 1)) (sqrt x))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 75 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (/ 1 (* (sqrt 1) (sqrt 1))) * [exit]simplify: Simplified to (/ 1 (* (sqrt 1) (sqrt 1))) * [enter]simplify: Simplifying (/ (sqrt (- (sqrt (+ x 1)) (sqrt x))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 76 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (/ 1 (* (sqrt 1) (sqrt 1))) * [exit]simplify: Simplified to (/ 1 (* (sqrt 1) (sqrt 1))) * [enter]simplify: Simplifying (/ (sqrt (- (sqrt (+ x 1)) (sqrt x))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 77 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ (sqrt x) (sqrt (+ x 1)))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ (sqrt x) (sqrt (+ x 1)))))) * [enter]simplify: Simplifying (/ (sqrt (- (sqrt (+ x 1)) (sqrt x))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 78 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [enter]simplify: Simplifying (/ (sqrt (- (sqrt (+ x 1)) (sqrt x))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 79 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 81 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (sqrt (+ x 1)) (sqrt x))) (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (+ (sqrt (+ 1 x)) (sqrt x)) * [exit]simplify: Simplified to (+ (sqrt (+ 1 x)) (sqrt x)) * * * * [misc]progress: [ 82 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (* (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 83 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (fabs (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (fabs (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 84 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 85 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 86 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 87 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 88 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 89 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) * [exit]simplify: Simplified to (/ (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) * * * * [misc]progress: [ 90 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (sqrt (+ x 1)) (sqrt x))) (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) * [exit]simplify: Simplified to (/ (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) * * * * [misc]progress: [ 91 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (sqrt (+ x 1)) (sqrt x))) (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (+ (sqrt (+ 1 x)) (sqrt x)) * [exit]simplify: Simplified to (+ (sqrt (+ 1 x)) (sqrt x)) * * * * [misc]progress: [ 92 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (sqrt (+ x 1)) (sqrt x))) (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (+ (sqrt (+ 1 x)) (sqrt x)) * [exit]simplify: Simplified to (+ (sqrt (+ 1 x)) (sqrt x)) * * * * [misc]progress: [ 93 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (sqrt (+ x 1)) (sqrt x))) (sqrt (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (sqrt (- (+ x (+ 1 x)) (* (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (sqrt (- (+ x (+ 1 x)) (* (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 94 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (sqrt (+ x 1)) (sqrt x))) (sqrt (- (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (sqrt (- (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (/ (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (sqrt (- (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 95 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (* (+ x 1) (sqrt (+ x 1))) (* x (sqrt x))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (* (+ x 1) (sqrt (+ x 1))) (* x (sqrt x))))) * * * * [misc]progress: [ 96 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 97 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (sqrt (+ x 1)) (sqrt x))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (+ (sqrt (+ 1 x)) (sqrt x)) * [exit]simplify: Simplified to (+ (sqrt (+ 1 x)) (sqrt x)) * * * * [misc]progress: [ 98 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 99 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 100 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (log (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 101 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (exp (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (exp (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 102 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [enter]simplify: Simplifying (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 103 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (+ (sqrt (+ x 1)) (sqrt x))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (* (+ (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (* (+ (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 104 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (fabs (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [enter]simplify: Simplifying (sqrt (cbrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 105 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [enter]simplify: Simplifying (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 106 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (+ (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) * * * * [misc]progress: [ 107 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (+ (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) * * * * [misc]progress: [ 108 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (+ 1 x) (sqrt (+ 1 x))) (* x (sqrt x)))) * [exit]simplify: Simplified to (sqrt (+ (* (+ 1 x) (sqrt (+ 1 x))) (* x (sqrt x)))) * [enter]simplify: Simplifying (sqrt (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (sqrt (- (+ (+ 1 x) x) (* (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (sqrt (- (+ (+ 1 x) x) (* (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 109 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (- (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (- (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (sqrt (- (sqrt (+ 1 x)) (sqrt x))) * * * * [misc]progress: [ 110 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [enter]simplify: Simplifying (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 111 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 112 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 113 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 114 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 115 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (log (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 116 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (exp (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (exp (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 117 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [enter]simplify: Simplifying (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 118 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (+ (sqrt (+ x 1)) (sqrt x))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (* (+ (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (* (+ (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 119 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (fabs (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [enter]simplify: Simplifying (sqrt (cbrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 120 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [enter]simplify: Simplifying (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 121 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (+ (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) * * * * [misc]progress: [ 122 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (+ (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) * * * * [misc]progress: [ 123 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (+ 1 x) (sqrt (+ 1 x))) (* x (sqrt x)))) * [exit]simplify: Simplified to (sqrt (+ (* (+ 1 x) (sqrt (+ 1 x))) (* x (sqrt x)))) * [enter]simplify: Simplifying (sqrt (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (sqrt (- (+ (+ 1 x) x) (* (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (sqrt (- (+ (+ 1 x) x) (* (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 124 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (- (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (- (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (sqrt (- (sqrt (+ 1 x)) (sqrt x))) * * * * [misc]progress: [ 125 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [enter]simplify: Simplifying (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 126 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 127 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 128 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 129 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) x))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 5) (pow x 2))))))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 130 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) x))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 5) (pow x 2))))))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 131 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))) * * * * [misc]progress: [ 132 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (pow (sqrt +nan.0) 2)) (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 6) (pow x 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 4) (pow x 2)))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 4) x)))))))) * * * * [misc]progress: [ 133 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (pow (sqrt +nan.0) 2)) (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 6) (pow x 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 4) (pow x 2)))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 4) x)))))))) * * * * [misc]progress: [ 134 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (- 1 (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x))))) * * * * [misc]progress: [ 135 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow x 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) x))))))))) * * * * [misc]progress: [ 136 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow x 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) x))))))))) * * * * [misc]progress: [ 137 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- 1 (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 138 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow x 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) x))))))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 139 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow x 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) x))))))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) in x * [misc]taylor: Taking taylor expansion of (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) in x * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2) (log (+ (sqrt (+ x 1)) (sqrt x))))) in x * [misc]taylor: Taking taylor expansion of (* (- 1/2) (log (+ (sqrt (+ x 1)) (sqrt x)))) in x * [misc]taylor: Taking taylor expansion of (- 1/2) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (log (+ (sqrt (+ x 1)) (sqrt x))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/2 (- +nan.0)) into +nan.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1)) (sqrt x))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) 2) into +nan.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) in x * [misc]taylor: Taking taylor expansion of (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) in x * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2) (log (+ (sqrt (+ x 1)) (sqrt x))))) in x * [misc]taylor: Taking taylor expansion of (* (- 1/2) (log (+ (sqrt (+ x 1)) (sqrt x)))) in x * [misc]taylor: Taking taylor expansion of (- 1/2) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (log (+ (sqrt (+ x 1)) (sqrt x))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/2 (- +nan.0)) into +nan.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1)) (sqrt x))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) 2) into +nan.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ -1/8 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (+ (* -1 (pow (- +nan.0) 2)) (* 2 (- +nan.0))) 2) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/2 +nan.0) into +nan.0 * [misc]backup-simplify: Simplify (+ (/ (pow +nan.0 2) 2) +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ -1/8 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (+ (- +nan.0) (pow +nan.0 2)) 2) into +nan.0 * [misc]backup-simplify: Simplify (+ (- +nan.0) (+ +nan.0 (* (- +nan.0) +nan.0))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 1 (+ (* (- +nan.0) (pow x 2)) (* (- +nan.0) x))) into (- 1 (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))) * [misc]approximate: Taking taylor expansion of (/ (pow (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) (- 1/2)) (sqrt (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (pow (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) (- 1/2)) (sqrt (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (pow (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) (- 1/2)) in x * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2) (log (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* (- 1/2) (log (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (- 1/2) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (log (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (log (- +nan.0)) into (log (- +nan.0)) * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (* -1/2 (log (- +nan.0))) into (* -1/2 (log (- +nan.0))) * [misc]backup-simplify: Simplify (exp (* -1/2 (log (- +nan.0)))) into (pow (- +nan.0) -1/2) * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (/ (pow (- +nan.0) -1/2) (sqrt +nan.0)) into (* (sqrt (/ 1 +nan.0)) (/ 1 (sqrt +nan.0))) * [misc]taylor: Taking taylor expansion of (/ (pow (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) (- 1/2)) (sqrt (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (pow (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) (- 1/2)) in x * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2) (log (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* (- 1/2) (log (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (- 1/2) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (log (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (log (- +nan.0)) into (log (- +nan.0)) * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (* -1/2 (log (- +nan.0))) into (* -1/2 (log (- +nan.0))) * [misc]backup-simplify: Simplify (exp (* -1/2 (log (- +nan.0)))) into (pow (- +nan.0) -1/2) * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (/ (pow (- +nan.0) -1/2) (sqrt +nan.0)) into (* (sqrt (/ 1 +nan.0)) (/ 1 (sqrt +nan.0))) * [misc]backup-simplify: Simplify (* (sqrt (/ 1 +nan.0)) (/ 1 (sqrt +nan.0))) into 1 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (- +nan.0)) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/2 +nan.0) into +nan.0 * [misc]backup-simplify: Simplify (* (pow (- +nan.0) -1/2) +nan.0) into (* +nan.0 (sqrt (/ 1 +nan.0))) * [misc]backup-simplify: Simplify (+ (/ (* +nan.0 (sqrt (/ 1 +nan.0))) (sqrt +nan.0)) (* (* (sqrt (/ 1 +nan.0)) (/ 1 (sqrt +nan.0))) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 +nan.0)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 (* +nan.0 (pow +nan.0 2)))) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (pow (- +nan.0) 2) (pow (- +nan.0) 2))) (/ (* 2 (- +nan.0)) (- +nan.0))) 2) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/2 +nan.0) into +nan.0 * [misc]backup-simplify: Simplify (* (pow (- +nan.0) -1/2) (+ (/ (pow +nan.0 2) 2) +nan.0)) into (* +nan.0 (sqrt (/ 1 +nan.0))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 +nan.0)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 (* +nan.0 (pow +nan.0 2)))) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (+ (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (+ (/ (* +nan.0 (sqrt (/ 1 +nan.0))) (sqrt +nan.0)) (+ (* (* (sqrt (/ 1 +nan.0)) (/ 1 (sqrt +nan.0))) (/ (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (sqrt +nan.0))) (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0))))) * [misc]backup-simplify: Simplify (+ 1 (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0))))) (pow (/ 1 x) 2)) (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) (/ 1 x)))) into (- 1 (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow x 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 4) (pow x 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) x))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))))))) * [misc]approximate: Taking taylor expansion of (/ (pow (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) (- 1/2)) (sqrt (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (pow (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) (- 1/2)) (sqrt (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (pow (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) (- 1/2)) in x * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2) (log (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* (- 1/2) (log (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (- 1/2) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (log (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (log (- +nan.0)) into (log (- +nan.0)) * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (* -1/2 (log (- +nan.0))) into (* -1/2 (log (- +nan.0))) * [misc]backup-simplify: Simplify (exp (* -1/2 (log (- +nan.0)))) into (pow (- +nan.0) -1/2) * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (/ (pow (- +nan.0) -1/2) (sqrt +nan.0)) into (* (sqrt (/ 1 +nan.0)) (/ 1 (sqrt +nan.0))) * [misc]taylor: Taking taylor expansion of (/ (pow (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) (- 1/2)) (sqrt (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (pow (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) (- 1/2)) in x * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2) (log (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* (- 1/2) (log (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (- 1/2) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (log (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (log (- +nan.0)) into (log (- +nan.0)) * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (* -1/2 (log (- +nan.0))) into (* -1/2 (log (- +nan.0))) * [misc]backup-simplify: Simplify (exp (* -1/2 (log (- +nan.0)))) into (pow (- +nan.0) -1/2) * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (/ (pow (- +nan.0) -1/2) (sqrt +nan.0)) into (* (sqrt (/ 1 +nan.0)) (/ 1 (sqrt +nan.0))) * [misc]backup-simplify: Simplify (* (sqrt (/ 1 +nan.0)) (/ 1 (sqrt +nan.0))) into 1 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (- +nan.0)) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/2 +nan.0) into +nan.0 * [misc]backup-simplify: Simplify (* (pow (- +nan.0) -1/2) +nan.0) into (* +nan.0 (sqrt (/ 1 +nan.0))) * [misc]backup-simplify: Simplify (+ (/ (* +nan.0 (sqrt (/ 1 +nan.0))) (sqrt +nan.0)) (* (* (sqrt (/ 1 +nan.0)) (/ 1 (sqrt +nan.0))) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 +nan.0)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 (* +nan.0 (pow +nan.0 2)))) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (pow (- +nan.0) 2) (pow (- +nan.0) 2))) (/ (* 2 (- +nan.0)) (- +nan.0))) 2) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/2 +nan.0) into +nan.0 * [misc]backup-simplify: Simplify (* (pow (- +nan.0) -1/2) (+ (/ (pow +nan.0 2) 2) +nan.0)) into (* +nan.0 (sqrt (/ 1 +nan.0))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 +nan.0)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 (* +nan.0 (pow +nan.0 2)))) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (+ (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (+ (/ (* +nan.0 (sqrt (/ 1 +nan.0))) (sqrt +nan.0)) (+ (* (* (sqrt (/ 1 +nan.0)) (/ 1 (sqrt +nan.0))) (/ (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (sqrt +nan.0))) (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0))))) * [misc]backup-simplify: Simplify (+ 1 (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0))))) (pow (/ 1 (- x)) 2)) (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) (/ 1 (- x))))) into (- 1 (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow x 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 4) (pow x 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) x))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1)) (sqrt x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1)) (sqrt x))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) 2) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1)) (sqrt x))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) 2) into +nan.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ -1/8 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (+ (- +nan.0) (pow +nan.0 2)) 2) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ 1 (+ (* +nan.0 (pow x 2)) (* +nan.0 x))) into (- 1 (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) * [misc]backup-simplify: Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 +nan.0)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 (* +nan.0 (pow +nan.0 2)))) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (+ (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 x) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 x)) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow x 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) x)))))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) * [misc]backup-simplify: Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 +nan.0)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 (* +nan.0 (pow +nan.0 2)))) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (+ (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 (- x)) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 (- x))) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow x 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) x)))))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) in x * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2) (log (+ (sqrt (+ x 1)) (sqrt x))))) in x * [misc]taylor: Taking taylor expansion of (* (- 1/2) (log (+ (sqrt (+ x 1)) (sqrt x)))) in x * [misc]taylor: Taking taylor expansion of (- 1/2) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (log (+ (sqrt (+ x 1)) (sqrt x))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/2 (- +nan.0)) into +nan.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) in x * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2) (log (+ (sqrt (+ x 1)) (sqrt x))))) in x * [misc]taylor: Taking taylor expansion of (* (- 1/2) (log (+ (sqrt (+ x 1)) (sqrt x)))) in x * [misc]taylor: Taking taylor expansion of (- 1/2) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (log (+ (sqrt (+ x 1)) (sqrt x))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/2 (- +nan.0)) into +nan.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ -1/8 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (+ (* -1 (pow (- +nan.0) 2)) (* 2 (- +nan.0))) 2) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/2 +nan.0) into +nan.0 * [misc]backup-simplify: Simplify (+ (/ (pow +nan.0 2) 2) +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 1 (+ (* (- +nan.0) (pow x 2)) (* +nan.0 x))) into (- 1 (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))) * [misc]approximate: Taking taylor expansion of (pow (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) (- 1/2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (pow (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) (- 1/2)) in x * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2) (log (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* (- 1/2) (log (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (- 1/2) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (log (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (log (- +nan.0)) into (log (- +nan.0)) * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (* -1/2 (log (- +nan.0))) into (* -1/2 (log (- +nan.0))) * [misc]backup-simplify: Simplify (exp (* -1/2 (log (- +nan.0)))) into (pow (- +nan.0) -1/2) * [misc]taylor: Taking taylor expansion of (pow (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) (- 1/2)) in x * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2) (log (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* (- 1/2) (log (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (- 1/2) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (log (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (log (- +nan.0)) into (log (- +nan.0)) * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (* -1/2 (log (- +nan.0))) into (* -1/2 (log (- +nan.0))) * [misc]backup-simplify: Simplify (exp (* -1/2 (log (- +nan.0)))) into (pow (- +nan.0) -1/2) * [misc]backup-simplify: Simplify (pow (- +nan.0) -1/2) into (pow (- +nan.0) -1/2) * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (- +nan.0)) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/2 +nan.0) into +nan.0 * [misc]backup-simplify: Simplify (* (pow (- +nan.0) -1/2) +nan.0) into (* +nan.0 (sqrt (/ 1 +nan.0))) * [misc]backup-simplify: Simplify (* +nan.0 (sqrt (/ 1 +nan.0))) into (* +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 +nan.0)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 (* +nan.0 (pow +nan.0 2)))) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (pow (- +nan.0) 2) (pow (- +nan.0) 2))) (/ (* 2 (- +nan.0)) (- +nan.0))) 2) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/2 +nan.0) into +nan.0 * [misc]backup-simplify: Simplify (* (pow (- +nan.0) -1/2) (+ (/ (pow +nan.0 2) 2) +nan.0)) into (* +nan.0 (sqrt (/ 1 +nan.0))) * [misc]backup-simplify: Simplify (* +nan.0 (sqrt (/ 1 +nan.0))) into (* +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (+ (* (* +nan.0 (sqrt +nan.0)) (pow (/ 1 x) 2)) (+ (* (* +nan.0 (sqrt +nan.0)) (/ 1 x)) (pow (- +nan.0) -1/2))) into (- (pow (- +nan.0) -1/2) (+ (* +nan.0 (/ (sqrt +nan.0) x)) (- (* +nan.0 (/ (sqrt +nan.0) (pow x 2)))))) * [misc]approximate: Taking taylor expansion of (pow (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) (- 1/2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (pow (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) (- 1/2)) in x * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2) (log (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* (- 1/2) (log (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (- 1/2) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (log (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (log (- +nan.0)) into (log (- +nan.0)) * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (* -1/2 (log (- +nan.0))) into (* -1/2 (log (- +nan.0))) * [misc]backup-simplify: Simplify (exp (* -1/2 (log (- +nan.0)))) into (pow (- +nan.0) -1/2) * [misc]taylor: Taking taylor expansion of (pow (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) (- 1/2)) in x * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2) (log (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* (- 1/2) (log (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (- 1/2) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (log (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (log (- +nan.0)) into (log (- +nan.0)) * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (* -1/2 (log (- +nan.0))) into (* -1/2 (log (- +nan.0))) * [misc]backup-simplify: Simplify (exp (* -1/2 (log (- +nan.0)))) into (pow (- +nan.0) -1/2) * [misc]backup-simplify: Simplify (pow (- +nan.0) -1/2) into (pow (- +nan.0) -1/2) * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (- +nan.0)) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/2 +nan.0) into +nan.0 * [misc]backup-simplify: Simplify (* (pow (- +nan.0) -1/2) +nan.0) into (* +nan.0 (sqrt (/ 1 +nan.0))) * [misc]backup-simplify: Simplify (* +nan.0 (sqrt (/ 1 +nan.0))) into (* +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 +nan.0)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 (* +nan.0 (pow +nan.0 2)))) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (pow (- +nan.0) 2) (pow (- +nan.0) 2))) (/ (* 2 (- +nan.0)) (- +nan.0))) 2) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/2 +nan.0) into +nan.0 * [misc]backup-simplify: Simplify (* (pow (- +nan.0) -1/2) (+ (/ (pow +nan.0 2) 2) +nan.0)) into (* +nan.0 (sqrt (/ 1 +nan.0))) * [misc]backup-simplify: Simplify (* +nan.0 (sqrt (/ 1 +nan.0))) into (* +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (+ (* (* +nan.0 (sqrt +nan.0)) (pow (/ 1 (- x)) 2)) (+ (* (* +nan.0 (sqrt +nan.0)) (/ 1 (- x))) (pow (- +nan.0) -1/2))) into (- (pow (- +nan.0) -1/2) (+ (* +nan.0 (/ (sqrt +nan.0) x)) (- (* +nan.0 (/ (sqrt +nan.0) (pow x 2)))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ -1/8 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 1 (+ (* (- +nan.0) (pow x 2)) (* (- +nan.0) x))) into (- 1 (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))) * [misc]approximate: Taking taylor expansion of (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 +nan.0)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 (* +nan.0 (pow +nan.0 2)))) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (- +nan.0))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * [misc]approximate: Taking taylor expansion of (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ -1 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (pow +nan.0 2)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow +nan.0 2) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 +nan.0)) 0) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* 2 (* +nan.0 (* +nan.0 (pow +nan.0 2)))) 0) into (* +nan.0 (pow +nan.0 2)) * [misc]backup-simplify: Simplify (+ +nan.0 (* +nan.0 (pow +nan.0 2))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- 1/2) 1/2) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (- (- 1/2) 1/2) * [exit]simplify: Simplified to (- (- 1/2) 1/2) * * * * [misc]progress: [ 2 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (log (+ (sqrt (+ x 1)) (sqrt x))) (- 1/2)) (log (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (- (* (- 1/2) (log (+ (sqrt (+ 1 x)) (sqrt x)))) (log (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (- (* (- 1/2) (log (+ (sqrt (+ 1 x)) (sqrt x)))) (log (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 4 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (log (+ (sqrt (+ x 1)) (sqrt x))) (- 1/2)) (log (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (- (* (- 1/2) (log (+ (sqrt (+ 1 x)) (sqrt x)))) (log (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (- (* (- 1/2) (log (+ (sqrt (+ 1 x)) (sqrt x)))) (log (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 5 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) (log (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (- (* (log (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) (log (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (- (* (log (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) (log (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 6 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (- (* (- 1/2) (log (+ (sqrt (+ 1 x)) (sqrt x)))) (log (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (- (* (- 1/2) (log (+ (sqrt (+ 1 x)) (sqrt x)))) (log (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 7 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (exp (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (exp (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 8 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) (* (* (sqrt (+ (sqrt (+ x 1)) (sqrt x))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (pow (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) 3) * [exit]simplify: Simplified to (pow (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) 3) * * * * [misc]progress: [ 9 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (cbrt (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) * [exit]simplify: Simplified to (* (cbrt (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (cbrt (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) * [enter]simplify: Simplifying (cbrt (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (cbrt (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (cbrt (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 10 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to (pow (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) 3) * [exit]simplify: Simplified to (pow (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) 3) * * * * [misc]progress: [ 11 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (sqrt (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (sqrt (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [enter]simplify: Simplifying (sqrt (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (sqrt (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (sqrt (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 12 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (- (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) * [exit]simplify: Simplified to (- (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) * [enter]simplify: Simplifying (- (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (- (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 13 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))) (- 1/2)) (* (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (/ (pow (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))) (- 1/2)) (* (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) * [exit]simplify: Simplified to (/ (pow (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))) (- 1/2)) (* (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) * [enter]simplify: Simplifying (/ (pow (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (- 1/2)) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (pow (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (pow (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 14 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))) (- 1/2)) (sqrt (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (pow (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))) (- 1/2)) (fabs (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (pow (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))) (- 1/2)) (fabs (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [enter]simplify: Simplifying (/ (pow (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (- 1/2)) (sqrt (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (pow (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (pow (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 15 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (pow (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (pow (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [enter]simplify: Simplifying (/ (pow (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (pow (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (pow (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 16 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))) (- 1/2)) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (pow (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))) (- 1/2)) (sqrt 1)) * [exit]simplify: Simplified to (/ (pow (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))) (- 1/2)) (sqrt 1)) * [enter]simplify: Simplifying (/ (pow (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (- 1/2)) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (pow (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (/ (pow (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 17 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))) (- 1/2)) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (pow (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))) (- 1/2)) (sqrt 1)) * [exit]simplify: Simplified to (/ (pow (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))) (- 1/2)) (sqrt 1)) * [enter]simplify: Simplifying (/ (pow (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (- 1/2)) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (pow (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (/ (pow (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 18 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (pow (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (pow (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [enter]simplify: Simplifying (/ (pow (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (pow (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (pow (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 19 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))) (- 1/2)) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (pow (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))) (- 1/2)) * [exit]simplify: Simplified to (pow (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))) (- 1/2)) * [enter]simplify: Simplifying (/ (pow (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (- 1/2)) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (pow (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (/ (pow (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 20 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sqrt (+ (sqrt (+ x 1)) (sqrt x))) (- 1/2)) (* (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (/ (pow (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (/ (pow (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [enter]simplify: Simplifying (/ (pow (sqrt (+ (sqrt (+ x 1)) (sqrt x))) (- 1/2)) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (pow (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (pow (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 21 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sqrt (+ (sqrt (+ x 1)) (sqrt x))) (- 1/2)) (sqrt (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (pow (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) (fabs (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (pow (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) (fabs (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [enter]simplify: Simplifying (/ (pow (sqrt (+ (sqrt (+ x 1)) (sqrt x))) (- 1/2)) (sqrt (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (pow (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (pow (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 22 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sqrt (+ (sqrt (+ x 1)) (sqrt x))) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (pow (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (pow (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [enter]simplify: Simplifying (/ (pow (sqrt (+ (sqrt (+ x 1)) (sqrt x))) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (pow (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (pow (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 23 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sqrt (+ (sqrt (+ x 1)) (sqrt x))) (- 1/2)) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (pow (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) (sqrt 1)) * [exit]simplify: Simplified to (/ (pow (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) (sqrt 1)) * [enter]simplify: Simplifying (/ (pow (sqrt (+ (sqrt (+ x 1)) (sqrt x))) (- 1/2)) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (pow (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (/ (pow (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 24 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sqrt (+ (sqrt (+ x 1)) (sqrt x))) (- 1/2)) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (pow (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) (sqrt 1)) * [exit]simplify: Simplified to (/ (pow (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) (sqrt 1)) * [enter]simplify: Simplifying (/ (pow (sqrt (+ (sqrt (+ x 1)) (sqrt x))) (- 1/2)) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (pow (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (/ (pow (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 25 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sqrt (+ (sqrt (+ x 1)) (sqrt x))) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (pow (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (pow (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [enter]simplify: Simplifying (/ (pow (sqrt (+ (sqrt (+ x 1)) (sqrt x))) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (pow (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (pow (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 26 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sqrt (+ (sqrt (+ x 1)) (sqrt x))) (- 1/2)) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (pow (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) * [exit]simplify: Simplified to (pow (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) * [enter]simplify: Simplifying (/ (pow (sqrt (+ (sqrt (+ x 1)) (sqrt x))) (- 1/2)) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (pow (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (/ (pow (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 27 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 (- 1/2)) (* (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [enter]simplify: Simplifying (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 28 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 (- 1/2)) (sqrt (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * [enter]simplify: Simplifying (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (sqrt (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 29 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 (- 1/2)) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [enter]simplify: Simplifying (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 30 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 (- 1/2)) (sqrt 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [enter]simplify: Simplifying (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 31 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 (- 1/2)) (sqrt 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [enter]simplify: Simplifying (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 32 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 (- 1/2)) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [enter]simplify: Simplifying (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 33 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 (- 1/2)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 34 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 (- 1/2)) (* (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [enter]simplify: Simplifying (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 35 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 (- 1/2)) (sqrt (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * [enter]simplify: Simplifying (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (sqrt (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 36 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 (- 1/2)) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [enter]simplify: Simplifying (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 37 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 (- 1/2)) (sqrt 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [enter]simplify: Simplifying (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 38 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 (- 1/2)) (sqrt 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [enter]simplify: Simplifying (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 39 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 (- 1/2)) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [enter]simplify: Simplifying (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 40 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 (- 1/2)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 41 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) (cbrt (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)))) (* (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (/ (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) * [exit]simplify: Simplified to (* (/ (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (/ (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) * [enter]simplify: Simplifying (/ (cbrt (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 42 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) (cbrt (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)))) (sqrt (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)))) (fabs (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (* (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)))) (fabs (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [enter]simplify: Simplifying (/ (cbrt (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) (sqrt (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 43 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) (cbrt (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (* (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [enter]simplify: Simplifying (/ (cbrt (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 44 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) (cbrt (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (/ (sqrt 1) (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))))) * [exit]simplify: Simplified to (/ (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (/ (sqrt 1) (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))))) * [enter]simplify: Simplifying (/ (cbrt (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (/ (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 45 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) (cbrt (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (/ (sqrt 1) (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))))) * [exit]simplify: Simplified to (/ (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (/ (sqrt 1) (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))))) * [enter]simplify: Simplifying (/ (cbrt (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (/ (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 46 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) (cbrt (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (* (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [enter]simplify: Simplifying (/ (cbrt (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 47 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) (cbrt (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (* (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)))) * [exit]simplify: Simplified to (* (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)))) * [enter]simplify: Simplifying (/ (cbrt (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (/ (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 48 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) (* (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [enter]simplify: Simplifying (/ (sqrt (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (sqrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 49 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) (sqrt (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (fabs (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (sqrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (fabs (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [enter]simplify: Simplifying (/ (sqrt (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) (sqrt (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (sqrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 50 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (sqrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [enter]simplify: Simplifying (/ (sqrt (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (sqrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 51 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (sqrt 1)) * [exit]simplify: Simplified to (/ (sqrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (sqrt 1)) * [enter]simplify: Simplifying (/ (sqrt (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (/ (sqrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 52 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (sqrt 1)) * [exit]simplify: Simplified to (/ (sqrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (sqrt 1)) * [enter]simplify: Simplifying (/ (sqrt (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (/ (sqrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 53 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (sqrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [enter]simplify: Simplifying (/ (sqrt (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (sqrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 54 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (sqrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) * [exit]simplify: Simplified to (sqrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) * [enter]simplify: Simplifying (/ (sqrt (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (/ (sqrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 55 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) * [enter]simplify: Simplifying (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 56 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * [enter]simplify: Simplifying (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (sqrt (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 57 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [enter]simplify: Simplifying (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 58 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [enter]simplify: Simplifying (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 59 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [enter]simplify: Simplifying (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 60 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [enter]simplify: Simplifying (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 61 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 62 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 64 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (sqrt (+ x 1)) (sqrt x))) (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) * [exit]simplify: Simplified to (/ (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) * * * * [misc]progress: [ 65 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (* (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (* (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (* (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) * * * * [misc]progress: [ 66 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (sqrt (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (fabs (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (fabs (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 67 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 68 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt 1)) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt 1)) * * * * [misc]progress: [ 69 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt 1)) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt 1)) * * * * [misc]progress: [ 70 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 71 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) * [exit]simplify: Simplified to (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) * * * * [misc]progress: [ 72 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (sqrt (+ x 1)) (sqrt x))) (pow (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (- 1/2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (pow (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2))) * [exit]simplify: Simplified to (/ (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (pow (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2))) * * * * [misc]progress: [ 73 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (sqrt (+ x 1)) (sqrt x))) (pow (sqrt (+ (sqrt (+ x 1)) (sqrt x))) (- 1/2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (pow (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2))) * [exit]simplify: Simplified to (/ (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (pow (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2))) * * * * [misc]progress: [ 74 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (sqrt (+ x 1)) (sqrt x))) (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) * [exit]simplify: Simplified to (/ (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) * * * * [misc]progress: [ 75 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (sqrt (+ x 1)) (sqrt x))) (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) * [exit]simplify: Simplified to (/ (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) * * * * [misc]progress: [ 76 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)))) * [exit]simplify: Simplified to (/ (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)))) * * * * [misc]progress: [ 77 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (sqrt (+ x 1)) (sqrt x))) (sqrt (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (sqrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)))) * [exit]simplify: Simplified to (/ (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (sqrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)))) * * * * [misc]progress: [ 78 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (sqrt (+ x 1)) (sqrt x))) (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) * [exit]simplify: Simplified to (/ (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) * * * * [misc]progress: [ 79 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (sqrt (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (+ (* x (sqrt x)) (* (+ 1 x) (sqrt (+ 1 x)))))) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (+ (* x (sqrt x)) (* (+ 1 x) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 80 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (sqrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt 1)) * [exit]simplify: Simplified to (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt 1)) * * * * [misc]progress: [ 81 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (sqrt (+ x 1)) (sqrt x))) (pow (+ (sqrt (+ x 1)) (sqrt x)) 1/2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (+ (sqrt (+ 1 x)) (sqrt x)) * [exit]simplify: Simplified to (+ (sqrt (+ 1 x)) (sqrt x)) * * * * [misc]progress: [ 82 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (sqrt (+ x 1)) (sqrt x))) (pow (+ (sqrt (+ x 1)) (sqrt x)) 1/2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (+ (sqrt (+ 1 x)) (sqrt x)) * [exit]simplify: Simplified to (+ (sqrt (+ 1 x)) (sqrt x)) * * * * [misc]progress: [ 83 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (log (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 86 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (exp (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (exp (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 87 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) * [enter]simplify: Simplifying (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 88 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (+ (sqrt (+ x 1)) (sqrt x))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (* (+ (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (* (+ (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 89 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (fabs (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [enter]simplify: Simplifying (sqrt (cbrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 90 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [enter]simplify: Simplifying (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 91 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (+ (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) * * * * [misc]progress: [ 92 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (+ (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) * * * * [misc]progress: [ 93 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (+ 1 x) (sqrt (+ 1 x))) (* x (sqrt x)))) * [exit]simplify: Simplified to (sqrt (+ (* (+ 1 x) (sqrt (+ 1 x))) (* x (sqrt x)))) * [enter]simplify: Simplifying (sqrt (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (sqrt (- (+ (+ 1 x) x) (* (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (sqrt (- (+ (+ 1 x) x) (* (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 94 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (- (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (- (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (sqrt (- (sqrt (+ 1 x)) (sqrt x))) * * * * [misc]progress: [ 95 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [enter]simplify: Simplifying (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 96 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 97 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 98 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (+ (sqrt (+ x 1)) (sqrt x))) (- 1/2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (- 1/2) (log (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (* (- 1/2) (log (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 99 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (+ (sqrt (+ x 1)) (sqrt x))) (- 1/2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (- 1/2) (log (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (* (- 1/2) (log (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 100 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (- 1/2)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (- 1/2) * [exit]simplify: Simplified to (- 1/2) * * * * [misc]progress: [ 101 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ (sqrt (+ x 1)) (sqrt x)) 1/2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) * * * * [misc]progress: [ 102 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ (sqrt (+ x 1)) (sqrt x)) 0) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (pow (+ (sqrt (+ x 1)) (sqrt x)) 1/2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) * * * * [misc]progress: [ 103 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ (sqrt (+ x 1)) (sqrt x)) (* (cbrt (- 1/2)) (cbrt (- 1/2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (pow (+ (sqrt (+ 1 x)) (sqrt x)) (* (cbrt (- 1/2)) (cbrt (- 1/2)))) * [exit]simplify: Simplified to (pow (+ (sqrt (+ 1 x)) (sqrt x)) (* (cbrt (- 1/2)) (cbrt (- 1/2)))) * * * * [misc]progress: [ 104 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (- 1/2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (pow (+ (sqrt (+ 1 x)) (sqrt x)) (sqrt (- 1/2))) * [exit]simplify: Simplified to (pow (+ (sqrt (+ 1 x)) (sqrt x)) (sqrt (- 1/2))) * * * * [misc]progress: [ 105 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ (sqrt (+ x 1)) (sqrt x)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (+ (sqrt (+ 1 x)) (sqrt x)) * [exit]simplify: Simplified to (+ (sqrt (+ 1 x)) (sqrt x)) * * * * [misc]progress: [ 106 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ (sqrt (+ x 1)) (sqrt x)) -1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (+ 1 x)) (sqrt x))) * * * * [misc]progress: [ 107 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))) (- 1/2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (pow (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))) (- 1/2)) * [exit]simplify: Simplified to (pow (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))) (- 1/2)) * [enter]simplify: Simplifying (pow (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (- 1/2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (pow (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) * [exit]simplify: Simplified to (pow (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) * * * * [misc]progress: [ 108 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (+ (sqrt (+ x 1)) (sqrt x))) (- 1/2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (pow (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) * [exit]simplify: Simplified to (pow (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) * [enter]simplify: Simplifying (pow (sqrt (+ (sqrt (+ x 1)) (sqrt x))) (- 1/2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (pow (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) * [exit]simplify: Simplified to (pow (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) * * * * [misc]progress: [ 109 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 (- 1/2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) * [exit]simplify: Simplified to (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) * * * * [misc]progress: [ 110 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 (- 1/2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) * [exit]simplify: Simplified to (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) * * * * [misc]progress: [ 111 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 112 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (* (log (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) * [exit]simplify: Simplified to (* (log (+ (sqrt (+ 1 x)) (sqrt x))) (- 1/2)) * * * * [misc]progress: [ 113 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (exp (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) * [exit]simplify: Simplified to (exp (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) * * * * [misc]progress: [ 114 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) (cbrt (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)))) * [exit]simplify: Simplified to (* (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)))) * [enter]simplify: Simplifying (cbrt (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) * [exit]simplify: Simplified to (cbrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) * * * * [misc]progress: [ 115 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (pow (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) 3) * [exit]simplify: Simplified to (pow (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) 3) * * * * [misc]progress: [ 116 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (sqrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) * [exit]simplify: Simplified to (sqrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) * [enter]simplify: Simplifying (sqrt (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (sqrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) * [exit]simplify: Simplified to (sqrt (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2))) * * * * [misc]progress: [ 117 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 118 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (sqrt (+ x 1))) (exp (sqrt x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (exp (+ (sqrt x) (sqrt (+ 1 x)))) * [exit]simplify: Simplified to (exp (+ (sqrt x) (sqrt (+ 1 x)))) * * * * [misc]progress: [ 119 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 120 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (log (+ (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (log (+ (sqrt (+ 1 x)) (sqrt x))) * * * * [misc]progress: [ 121 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (exp (+ (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (exp (+ (sqrt (+ 1 x)) (sqrt x))) * * * * [misc]progress: [ 122 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [enter]simplify: Simplifying (cbrt (+ (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) * * * * [misc]progress: [ 123 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (sqrt (+ x 1)) (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * [exit]simplify: Simplified to (pow (+ (sqrt (+ 1 x)) (sqrt x)) 3) * [exit]simplify: Simplified to (pow (+ (sqrt (+ 1 x)) (sqrt x)) 3) * * * * [misc]progress: [ 124 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) * [enter]simplify: Simplifying (sqrt (+ (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) * * * * [misc]progress: [ 125 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (+ (* (+ 1 x) (sqrt (+ 1 x))) (* x (sqrt x))) * [exit]simplify: Simplified to (+ (* (+ 1 x) (sqrt (+ 1 x))) (* x (sqrt x))) * [enter]simplify: Simplifying (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (147 enodes) * [exit]simplify: Simplified to (- (+ (+ 1 x) x) (* (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (- (+ (+ 1 x) x) (* (sqrt (+ 1 x)) (sqrt x))) * * * * [misc]progress: [ 126 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 127 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (- (sqrt (+ x 1)) (sqrt x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (sqrt (+ 1 x)) (sqrt x)) * [exit]simplify: Simplified to (- (sqrt (+ 1 x)) (sqrt x)) * * * * [misc]progress: [ 128 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (+ x 1)) (sqrt x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (+ (sqrt (+ 1 x)) (sqrt x)) * [exit]simplify: Simplified to (+ (sqrt (+ 1 x)) (sqrt x)) * * * * [misc]progress: [ 129 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 130 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))) * * * * [misc]progress: [ 131 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow x 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 4) (pow x 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) x))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))))))) * * * * [misc]progress: [ 132 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow x 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 4) (pow x 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) x))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))))))) * * * * [misc]progress: [ 133 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (- 1 (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x))))) * * * * [misc]progress: [ 134 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow x 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) x))))))))) * * * * [misc]progress: [ 135 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow x 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) x))))))))) * * * * [misc]progress: [ 136 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 137 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (pow (- +nan.0) -1/2) (+ (* +nan.0 (/ (sqrt +nan.0) x)) (- (* +nan.0 (/ (sqrt +nan.0) (pow x 2)))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 138 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (pow (- +nan.0) -1/2) (+ (* +nan.0 (/ (sqrt +nan.0) x)) (- (* +nan.0 (/ (sqrt +nan.0) (pow x 2)))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 139 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (sqrt (- 1 (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))))) * * * * [misc]progress: [ 140 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (sqrt (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))))) * * * * [misc]progress: [ 141 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (+ (sqrt (+ x 1)) (sqrt x)) (- 1/2)) (sqrt (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (- (sqrt (+ x 1)) (sqrt x)) +nan.0)) , with alts (#) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4092 additional inputs, on iter 1 have 3908 / 8000 * * * * [misc]points: Computing exacts on every 255 of 4092 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 127 of 4092 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 63 of 4092 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 31 of 4092 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 15 of 4092 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 7 of 4092 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 4092 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 4092 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 2075 additional inputs, on iter 2 have 5925 / 8000 * * * * [misc]points: Computing exacts on every 129 of 2075 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 64 of 2075 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 32 of 2075 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 16 of 2075 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 8 of 2075 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 2075 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 2075 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 2075 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 1033 additional inputs, on iter 3 have 6967 / 8000 * * * * [misc]points: Computing exacts on every 64 of 1033 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 32 of 1033 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 16 of 1033 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 8 of 1033 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 1033 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 1033 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 1033 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 514 additional inputs, on iter 4 have 7486 / 8000 * * * * [misc]points: Computing exacts on every 32 of 514 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 16 of 514 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 8 of 514 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 514 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 514 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 514 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 265 additional inputs, on iter 5 have 7735 / 8000 * * * * [misc]points: Computing exacts on every 16 of 265 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 8 of 265 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 265 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 265 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 265 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 136 additional inputs, on iter 6 have 7864 / 8000 * * * * [misc]points: Computing exacts on every 8 of 136 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 136 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 136 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 136 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 59 additional inputs, on iter 7 have 7941 / 8000 * * * * [misc]points: Computing exacts on every 3 of 59 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 59 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 32 additional inputs, on iter 8 have 7968 / 8000 * * * * [misc]points: Computing exacts on every 2 of 32 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 32 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 17 additional inputs, on iter 9 have 7983 / 8000 * * * * [misc]points: Computing exacts for 17 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 10 have 7992 / 8000 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 11 have 7999 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8001 points with exact outputs