* [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: Setting MPFR precision to 832 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [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 121 additional inputs, on iter 1 have 135 / 256 * * * * [misc]points: Computing exacts on every 7 of 121 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 121 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 121 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 55 additional inputs, on iter 2 have 201 / 256 * * * * [misc]points: Computing exacts on every 3 of 55 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 55 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 26 additional inputs, on iter 3 have 230 / 256 * * * * [misc]points: Computing exacts for 26 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 13 additional inputs, on iter 4 have 243 / 256 * * * * [misc]points: Computing exacts for 13 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 5 have 248 / 256 * * * * [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 6 have 255 / 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 256 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]none: Fresh alts: 1 * [misc]none: All alts: 1 * [misc]none: Fresh alt: (λ (x) (- (sqrt (+ x 1)) (sqrt x))) * [misc]none: Fresh alt indices * [misc]none: (λ (x) (- (sqrt (+ x 1)) (sqrt x))): 0 * [misc]none: Best fresh alt per point * [misc]none: (3.9135950474809954e+67): 0 * [misc]none: (1.1750256677114723e+302): 0 * [misc]none: (1.7531612809893653e+136): 0 * [misc]none: (8.844853331262414e+38): 0 * [misc]none: (1.178943808525994e-266): 0 * [misc]none: (9.178781884958768e+207): 0 * [misc]none: (1.0483964125162862e-06): 0 * [misc]none: (8.105463665693362e-194): 0 * [misc]none: (5.027897585816787e-27): 0 * [misc]none: (0.3310558223342685): 0 * [misc]none: (8.127248813391785e+226): 0 * [misc]none: 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[misc]none: (7.178809205583962e-175): 0 * [misc]none: (1.4235559851356953e-239): 0 * [misc]none: (4.74667737826054e-29): 0 * [misc]none: (1.868517529275615e+140): 0 * [misc]none: (1.5276944825842992e+272): 0 * [misc]none: (2.1335024129380783e-97): 0 * [misc]none: (1.0953112641111952e+229): 0 * [misc]none: (3.2587696828142436e+75): 0 * [misc]none: (3.7735141958833343e+170): 0 * [misc]none: (1.0233799517176219e-267): 0 * [misc]none: (5.348181441205713e-277): 0 * [misc]none: (2.6631876145177815e-299): 0 * [misc]none: (1.4781375733319608e-242): 0 * [misc]none: (3.003847336951168e+42): 0 * [misc]none: (1.6609596531041104e-183): 0 * [misc]none: (9.568527921939742e-273): 0 * [misc]none: (2.654414227492494e+20): 0 * [misc]none: (1.7090726067739176e-227): 0 * [misc]none: (7.696162327562603e-152): 0 * [misc]none: (5.106850318067203e-223): 0 * [misc]none: (1.3381086996667414e-215): 0 * [misc]none: (1.0224180420716733e-52): 0 * [misc]none: (9.705038014433044e-175): 0 * [misc]none: 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* [misc]none: (1.5096638452158614e-71): 0 * [misc]none: (6.967234360883543e-112): 0 * [misc]none: (2.0770495361468835e+203): 0 * [misc]none: (3.1401318723071353e-131): 0 * [misc]none: (0.228970627026966): 0 * [misc]none: (8.40469635347052e+100): 0 * [misc]none: (2.1321881547753267e-44): 0 * [misc]none: (1.7739584018359304e-207): 0 * [misc]none: (6.866799226360426e-109): 0 * [misc]none: (6.417434319517234e+231): 0 * [misc]none: (4.508352673437809e+248): 0 * [misc]none: (1.430295312965348e-149): 0 * [misc]none: (3.112001531242655e+80): 0 * [misc]none: (3.0475240801607222e-148): 0 * [misc]none: (1.4966275592591335e-123): 0 * [misc]none: (6.384545099874781e-168): 0 * [misc]none: (4.232269734875141e-205): 0 * [misc]none: (4.1020469956028986e+24): 0 * [misc]none: (2.1703230086091624e+277): 0 * [misc]none: (2.68866513359689e-174): 0 * [misc]none: (8.96636707501737e-13): 0 * [misc]none: (1.6082525618587168e-259): 0 * [misc]none: (2.7230496615379425e-188): 0 * [misc]none: (7.15832835948139e-179): 0 * [misc]none: (2.991170371343952e+151): 0 * [misc]none: (8.990843056511833e-32): 0 * [misc]none: (3.9088008390110404e+59): 0 * [misc]none: (6.754325943853309e-283): 0 * [misc]none: (6.354961149716869e-97): 0 * [misc]none: (2.8293820765322485e-296): 0 * [misc]none: (5.3887495676776976e+171): 0 * [misc]none: (9.871143682146977e-239): 0 * [misc]none: (5.123849747663666e+133): 0 * [misc]none: (4.007761912625816e-148): 0 * [misc]none: (3.321054281872602e+251): 0 * [misc]none: (8.452539306620761e+219): 0 * [misc]none: (4.4485313287564445e+252): 0 * [misc]none: (1.120554825473697e-298): 0 * [misc]none: (7.175557259725409e-49): 0 * [misc]none: (4.4800031186106794e-70): 0 * [misc]none: (2.5265807746711182e-73): 0 * [misc]none: (1.4440898226736705e-53): 0 * [misc]none: (2.3912903471184356e-134): 0 * [misc]none: (3.53511184703484e+158): 0 * [misc]none: (1.5780761566396397e+125): 0 * [misc]none: (1.534059348183312e-189): 0 * [misc]none: (2.8419420301747055e+90): 0 * [misc]none: (8.976998414840432e+184): 0 * [misc]none: (3.9122094377392414e+59): 0 * [misc]none: (4.588817619865515e-83): 0 * [misc]none: (6.908716276621429e+42): 0 * [misc]none: (1.074034252081928e-96): 0 * [misc]none: (1.43328810513268e+174): 0 * [misc]none: (1.6570172448601563e-137): 0 * [misc]none: (2.4048926517811354e+66): 0 * [misc]none: (4.0623211606609595e-228): 0 * [misc]none: (1.5982222044177176e+181): 0 * [misc]none: (8.398043771606399e+47): 0 * [misc]none: (6.730955893129463e-197): 0 * [misc]none: (6.724679859609688e-169): 0 * [misc]none: (1.4230714989143866e-75): 0 * [misc]none: (3.493084834288097e-125): 0 * [misc]none: (8.932193317773552e+156): 0 * [misc]none: (6.614130481633629e+300): 0 * [misc]none: (1.3240207557849338e+291): 0 * [misc]none: (3.2574885636926814e-211): 0 * [misc]none: (1.3680169753287455e-53): 0 * [misc]none: (2.2957389429922706e-176): 0 * [misc]none: (1.3610327499536486e+226): 0 * [misc]none: (4.84788597345363e+32): 0 * [misc]none: (1.0657402022625375e+129): 0 * [misc]none: (1.7927880379985524e+252): 0 * [misc]none: (1.0006462262322276e+238): 0 * [misc]none: (1.9963004369674967e-80): 0 * [misc]none: (1.4604179220567222e+231): 0 * [misc]none: (1.5216315041338872e-218): 0 * [misc]none: (1.6707151526371295e-190): 0 * [misc]none: (5.1990169359560766e-256): 0 * [misc]none: (8.044445972631143e-28): 0 * [misc]none: (2.635030752287841e+186): 0 * [misc]none: (4.12100928340286e-184): 0 * [misc]none: (9.74865050931635e+298): 0 * [misc]none: (8.361834195928021e-55): 0 * [misc]none: (7.311006071291519e-101): 0 * [misc]none: (1.782256728493473e+35): 0 * [misc]none: (6.657191501816709e+167): 0 * [misc]none: (8.382633428275648e-297): 0 * [misc]none: (2.0703305241322436e+71): 0 * [misc]none: (6.099737398723264e-279): 0 * [misc]none: (2.6679523035634032e-104): 0 * [misc]none: (8.366391802268445e+167): 0 * [misc]none: (2.870509274337958e-101): 0 * [misc]none: (4.384610242475067e+141): 0 * [misc]none: (1.4474621781713568e+65): 0 * [misc]none: (5.154503491655989e+241): 0 * [misc]none: (5.0588074473585105e-110): 0 * [misc]none: (3.742291531299835e+250): 0 * [misc]none: (5.013161881068948e+307): 0 * [misc]none: (66089027839097.664): 0 * [misc]none: (1.4351275309127672e-234): 0 * [misc]none: (4.416557773834991e-25): 0 * [misc]none: (3.0442880854679596e-31): 0 * [misc]none: (4.664141571059094e-118): 0 * [misc]none: Picked alt (λ (x) (- (sqrt (+ x 1)) (sqrt x))) * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) 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 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ -1/8 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow x 2)) (+ (* (- +nan.0) x) 1)) 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 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 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 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 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 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 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 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.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 (+ (* (- +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 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 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 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 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 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 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 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.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 (+ (* (- +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 / 18 ] 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 / 18 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 18 ] 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 / 18 ] 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 / 18 ] 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 / 18 ] 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 / 18 ] 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 / 18 ] 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 / 18 ] 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 / 18 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 18 ] 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 / 18 ] 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 / 18 ] 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 / 18 ] 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 / 18 ] 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 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))) * * * * [misc]progress: [ 17 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * * * * [misc]progress: [ 18 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 3 * [misc]none: All alts: 3 * [misc]none: Fresh alt: (λ (x) (cbrt (pow (- (sqrt (+ 1 x)) (sqrt x)) 3))) * [misc]none: Fresh alt: (λ (x) (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * [misc]none: Fresh alt: (λ (x) (* (* (cbrt (- (sqrt (+ x 1)) (sqrt x))) (cbrt (- (sqrt (+ x 1)) (sqrt x)))) (cbrt (- (sqrt (+ x 1)) (sqrt x))))) * [misc]none: Fresh alt indices * [misc]none: (λ (x) (cbrt (pow (- (sqrt (+ 1 x)) (sqrt x)) 3))): 0 * [misc]none: (λ (x) (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))): 1 * [misc]none: (λ (x) (* (* (cbrt (- (sqrt (+ x 1)) (sqrt x))) (cbrt (- (sqrt (+ x 1)) (sqrt x)))) (cbrt (- (sqrt (+ x 1)) (sqrt x))))): 2 * [misc]none: Best fresh alt per point * [misc]none: (3.9135950474809954e+67): 1 * [misc]none: (1.1750256677114723e+302): 1 * [misc]none: (1.7531612809893653e+136): 1 * [misc]none: (8.844853331262414e+38): 1 * [misc]none: (1.178943808525994e-266): 0 * [misc]none: (9.178781884958768e+207): 1 * [misc]none: (1.0483964125162862e-06): 0 * [misc]none: (8.105463665693362e-194): 0 * [misc]none: (5.027897585816787e-27): 0 * [misc]none: (0.3310558223342685): 1 * [misc]none: (8.127248813391785e+226): 1 * [misc]none: (7.299372666988037e-80): 0 * [misc]none: (3.506434173585025e+201): 1 * [misc]none: (2.0971939106770033e-216): 0 * [misc]none: (1.504878381563487e-123): 0 * [misc]none: (8.06210226572923e-308): 0 * [misc]none: (1.3704592194822044e+306): 1 * [misc]none: (1.5354587375460247e+100): 1 * [misc]none: (2.0724540688985427e-14): 0 * [misc]none: (7.930730410937821e+23): 1 * [misc]none: (1.2219765589404705e+117): 1 * [misc]none: (4.8815870270916733e+188): 1 * [misc]none: (6.537529222720653e-92): 0 * [misc]none: (3.5709688782890513e-43): 0 * [misc]none: (4.870593988390179e-194): 0 * [misc]none: (5.0297272719312193e+287): 1 * [misc]none: (5.41731325733976e-115): 0 * [misc]none: (1.0395093493101161e-28): 1 * [misc]none: (5.540829799846932e-307): 0 * [misc]none: (8.949756960721031e-195): 0 * [misc]none: (2.722605535602291e+155): 1 * [misc]none: (2.9453252035345084e+174): 1 * [misc]none: (1.0160216232612932e-143): 0 * [misc]none: (4.178563936936926e-127): 0 * [misc]none: (2.1657839461347663e+307): 1 * [misc]none: (6.629963208070179e-180): 0 * [misc]none: (2.5453262068352747e+307): 1 * [misc]none: (1.7005338626981419e-143): 0 * [misc]none: (7.808994559121766e-111): 0 * [misc]none: (8.788013174305029e-230): 0 * [misc]none: (2.5557776305939374e+86): 1 * [misc]none: (3.2454192740264175e-113): 0 * [misc]none: (4.896551008070313e-307): 0 * [misc]none: (1.2607016124581028e+98): 1 * [misc]none: (6.351701463874224e-34): 0 * [misc]none: (1.1127979592570306e-297): 0 * [misc]none: (2.0134175477923286e-117): 0 * [misc]none: (3.3910436622012204e+183): 1 * [misc]none: (2.1370924660732585e-137): 0 * [misc]none: (5.027318832526334e+284): 1 * [misc]none: (1.0214816826091913e+147): 1 * [misc]none: (9.44950370602155e+215): 1 * [misc]none: (1.453842915541268e+187): 1 * [misc]none: (4.172324580820008e-133): 0 * [misc]none: (1.6563474243613627e-33): 0 * [misc]none: (1.0684729481870001e-64): 0 * [misc]none: (6.3073426358942834e+75): 1 * [misc]none: (3.1520683467019444e-71): 0 * [misc]none: (0.19659739803111875): 1 * [misc]none: (7.786539791485611e+181): 1 * [misc]none: (2.4995037253728046e-268): 0 * [misc]none: (4.637177905335891e-10): 2 * [misc]none: (8.652041834233969e-101): 0 * [misc]none: (3.209451012414084e+270): 1 * [misc]none: (3.7907433031673317e-256): 0 * [misc]none: (8.76720870691781e-247): 0 * [misc]none: 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(6.754325943853309e-283): 0 * [misc]none: (6.354961149716869e-97): 0 * [misc]none: (2.8293820765322485e-296): 0 * [misc]none: (5.3887495676776976e+171): 1 * [misc]none: (9.871143682146977e-239): 0 * [misc]none: (5.123849747663666e+133): 1 * [misc]none: (4.007761912625816e-148): 0 * [misc]none: (3.321054281872602e+251): 1 * [misc]none: (8.452539306620761e+219): 1 * [misc]none: (4.4485313287564445e+252): 1 * [misc]none: (1.120554825473697e-298): 0 * [misc]none: (7.175557259725409e-49): 0 * [misc]none: (4.4800031186106794e-70): 0 * [misc]none: (2.5265807746711182e-73): 0 * [misc]none: (1.4440898226736705e-53): 0 * [misc]none: (2.3912903471184356e-134): 0 * [misc]none: (3.53511184703484e+158): 1 * [misc]none: (1.5780761566396397e+125): 1 * [misc]none: (1.534059348183312e-189): 0 * [misc]none: (2.8419420301747055e+90): 1 * [misc]none: (8.976998414840432e+184): 1 * [misc]none: (3.9122094377392414e+59): 1 * [misc]none: (4.588817619865515e-83): 0 * [misc]none: (6.908716276621429e+42): 1 * [misc]none: (1.074034252081928e-96): 0 * [misc]none: (1.43328810513268e+174): 1 * [misc]none: (1.6570172448601563e-137): 0 * [misc]none: (2.4048926517811354e+66): 1 * [misc]none: (4.0623211606609595e-228): 0 * [misc]none: (1.5982222044177176e+181): 1 * [misc]none: (8.398043771606399e+47): 1 * [misc]none: (6.730955893129463e-197): 0 * [misc]none: (6.724679859609688e-169): 0 * [misc]none: (1.4230714989143866e-75): 0 * [misc]none: (3.493084834288097e-125): 0 * [misc]none: (8.932193317773552e+156): 1 * [misc]none: (6.614130481633629e+300): 1 * [misc]none: (1.3240207557849338e+291): 1 * [misc]none: (3.2574885636926814e-211): 0 * [misc]none: (1.3680169753287455e-53): 0 * [misc]none: (2.2957389429922706e-176): 0 * [misc]none: (1.3610327499536486e+226): 1 * [misc]none: (4.84788597345363e+32): 1 * [misc]none: (1.0657402022625375e+129): 1 * [misc]none: (1.7927880379985524e+252): 1 * [misc]none: (1.0006462262322276e+238): 1 * [misc]none: (1.9963004369674967e-80): 0 * [misc]none: (1.4604179220567222e+231): 1 * [misc]none: (1.5216315041338872e-218): 0 * [misc]none: (1.6707151526371295e-190): 0 * [misc]none: (5.1990169359560766e-256): 0 * [misc]none: (8.044445972631143e-28): 0 * [misc]none: (2.635030752287841e+186): 1 * [misc]none: (4.12100928340286e-184): 0 * [misc]none: (9.74865050931635e+298): 1 * [misc]none: (8.361834195928021e-55): 0 * [misc]none: (7.311006071291519e-101): 0 * [misc]none: (1.782256728493473e+35): 1 * [misc]none: (6.657191501816709e+167): 1 * [misc]none: (8.382633428275648e-297): 0 * [misc]none: (2.0703305241322436e+71): 1 * [misc]none: (6.099737398723264e-279): 0 * [misc]none: (2.6679523035634032e-104): 0 * [misc]none: (8.366391802268445e+167): 1 * [misc]none: (2.870509274337958e-101): 0 * [misc]none: (4.384610242475067e+141): 1 * [misc]none: (1.4474621781713568e+65): 1 * [misc]none: (5.154503491655989e+241): 1 * [misc]none: (5.0588074473585105e-110): 0 * [misc]none: (3.742291531299835e+250): 1 * [misc]none: (5.013161881068948e+307): 1 * [misc]none: (66089027839097.664): 1 * [misc]none: (1.4351275309127672e-234): 0 * [misc]none: (4.416557773834991e-25): 1 * [misc]none: (3.0442880854679596e-31): 0 * [misc]none: (4.664141571059094e-118): 0 * [misc]none: Picked alt (λ (x) (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [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 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 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 (- (+ (* 1 (/ (- +nan.0) 1)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ -1/8 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- +nan.0) 1)) (* (- +nan.0) (/ (- +nan.0) 1)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow x 2)) (+ (* (- +nan.0) x) 1)) 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 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 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 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 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 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 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 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 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 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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 / 2 ] 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 1 0) 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 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ -1/8 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow x 2)) (+ (* (- +nan.0) x) 1)) 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 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 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 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 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 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 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 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 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 (+ (* (- +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 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 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 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 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 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 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 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 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 (+ (* (- +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 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 37 ] 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 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 37 ] 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 / 37 ] 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 / 37 ] 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 / 37 ] 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 / 37 ] 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 / 37 ] 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 / 37 ] 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 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 37 ] 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 / 37 ] 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 / 37 ] 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 / 37 ] 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 / 37 ] 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 / 37 ] 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 / 37 ] 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 / 37 ] 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 / 37 ] 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 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 37 ] 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 / 37 ] 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 / 37 ] 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 / 37 ] 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 / 37 ] 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 / 37 ] 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 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 37 ] 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 / 37 ] 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 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))) * * * * [misc]progress: [ 33 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * * * * [misc]progress: [ 34 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * * * * [misc]progress: [ 35 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- 1 (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x))))) * * * * [misc]progress: [ 36 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2))))))))) * * * * [misc]progress: [ 37 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2))))))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 6 * [misc]none: All alts: 7 * [misc]none: Fresh alt: (λ (x) (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))) * [misc]none: Fresh alt: (λ (x) (cbrt (pow (- (sqrt (+ 1 x)) (sqrt x)) 3))) * [misc]none: Fresh alt: (λ (x) (* (/ 1 (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3))) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1)) (sqrt x)))))) * [misc]none: Fresh alt: (λ (x) (cbrt (/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (* (+ (sqrt (+ x 1)) (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x)))))) * [misc]none: Non-fresh alt: (λ (x) (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * [misc]none: Fresh alt: (λ (x) (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [misc]none: Fresh alt: (λ (x) (* (* (cbrt (- (sqrt (+ x 1)) (sqrt x))) (cbrt (- (sqrt (+ x 1)) (sqrt x)))) (cbrt (- (sqrt (+ x 1)) (sqrt x))))) * [misc]none: Fresh alt indices * [misc]none: (λ (x) (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))): 0 * [misc]none: (λ (x) (cbrt (pow (- (sqrt (+ 1 x)) (sqrt x)) 3))): 1 * [misc]none: (λ (x) (* (/ 1 (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3))) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1)) (sqrt x)))))): 2 * [misc]none: (λ (x) (cbrt (/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (* (+ (sqrt (+ x 1)) (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x)))))): 3 * [misc]none: (λ (x) (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))): 4 * [misc]none: (λ (x) (* (* (cbrt (- (sqrt (+ x 1)) (sqrt x))) (cbrt (- (sqrt (+ x 1)) (sqrt x)))) (cbrt (- (sqrt (+ x 1)) (sqrt x))))): 5 * [misc]none: Best fresh alt per point * [misc]none: (3.9135950474809954e+67): 2 * [misc]none: (1.1750256677114723e+302): 4 * [misc]none: (1.7531612809893653e+136): 3 * [misc]none: (8.844853331262414e+38): 2 * [misc]none: (1.178943808525994e-266): 0 * [misc]none: (9.178781884958768e+207): 0 * [misc]none: (1.0483964125162862e-06): 1 * [misc]none: (8.105463665693362e-194): 0 * [misc]none: (5.027897585816787e-27): 1 * [misc]none: (0.3310558223342685): 0 * [misc]none: (8.127248813391785e+226): 0 * [misc]none: (7.299372666988037e-80): 0 * [misc]none: (3.506434173585025e+201): 0 * [misc]none: (2.0971939106770033e-216): 0 * [misc]none: (1.504878381563487e-123): 0 * [misc]none: (8.06210226572923e-308): 0 * [misc]none: (1.3704592194822044e+306): 4 * [misc]none: (1.5354587375460247e+100): 3 * [misc]none: (2.0724540688985427e-14): 1 * [misc]none: (7.930730410937821e+23): 3 * [misc]none: (1.2219765589404705e+117): 2 * [misc]none: (4.8815870270916733e+188): 3 * [misc]none: (6.537529222720653e-92): 0 * [misc]none: (3.5709688782890513e-43): 0 * [misc]none: (4.870593988390179e-194): 0 * [misc]none: (5.0297272719312193e+287): 0 * [misc]none: (5.41731325733976e-115): 0 * [misc]none: (1.0395093493101161e-28): 0 * [misc]none: (5.540829799846932e-307): 0 * [misc]none: (8.949756960721031e-195): 0 * [misc]none: (2.722605535602291e+155): 2 * [misc]none: (2.9453252035345084e+174): 0 * [misc]none: (1.0160216232612932e-143): 0 * [misc]none: (4.178563936936926e-127): 0 * [misc]none: (2.1657839461347663e+307): 0 * [misc]none: (6.629963208070179e-180): 0 * [misc]none: (2.5453262068352747e+307): 0 * [misc]none: (1.7005338626981419e-143): 0 * [misc]none: (7.808994559121766e-111): 0 * [misc]none: (8.788013174305029e-230): 0 * [misc]none: (2.5557776305939374e+86): 2 * [misc]none: (3.2454192740264175e-113): 0 * [misc]none: (4.896551008070313e-307): 0 * [misc]none: (1.2607016124581028e+98): 3 * [misc]none: (6.351701463874224e-34): 0 * [misc]none: (1.1127979592570306e-297): 0 * [misc]none: (2.0134175477923286e-117): 0 * [misc]none: (3.3910436622012204e+183): 0 * [misc]none: (2.1370924660732585e-137): 0 * [misc]none: (5.027318832526334e+284): 0 * [misc]none: (1.0214816826091913e+147): 3 * [misc]none: (9.44950370602155e+215): 0 * [misc]none: (1.453842915541268e+187): 3 * [misc]none: (4.172324580820008e-133): 0 * [misc]none: (1.6563474243613627e-33): 0 * [misc]none: 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[misc]none: (2.870509274337958e-101): 0 * [misc]none: (4.384610242475067e+141): 0 * [misc]none: (1.4474621781713568e+65): 2 * [misc]none: (5.154503491655989e+241): 4 * [misc]none: (5.0588074473585105e-110): 0 * [misc]none: (3.742291531299835e+250): 0 * [misc]none: (5.013161881068948e+307): 4 * [misc]none: (66089027839097.664): 0 * [misc]none: (1.4351275309127672e-234): 0 * [misc]none: (4.416557773834991e-25): 0 * [misc]none: (3.0442880854679596e-31): 1 * [misc]none: (4.664141571059094e-118): 0 * [misc]none: All alt indices * [misc]none: (λ (x) (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))): 0 * [misc]none: (λ (x) (cbrt (pow (- (sqrt (+ 1 x)) (sqrt x)) 3))): 1 * [misc]none: (λ (x) (* (/ 1 (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3))) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1)) (sqrt x)))))): 2 * [misc]none: (λ (x) (cbrt (/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (* (+ (sqrt (+ x 1)) (sqrt x)) (+ (sqrt (+ x 1)) (sqrt 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0 * [misc]none: (0.228970627026966): 0 * [misc]none: (8.40469635347052e+100): 4 * [misc]none: (2.1321881547753267e-44): 0 * [misc]none: (1.7739584018359304e-207): 0 * [misc]none: (6.866799226360426e-109): 0 * [misc]none: (6.417434319517234e+231): 4 * [misc]none: (4.508352673437809e+248): 0 * [misc]none: (1.430295312965348e-149): 0 * [misc]none: (3.112001531242655e+80): 0 * [misc]none: (3.0475240801607222e-148): 0 * [misc]none: (1.4966275592591335e-123): 0 * [misc]none: (6.384545099874781e-168): 0 * [misc]none: (4.232269734875141e-205): 0 * [misc]none: (4.1020469956028986e+24): 0 * [misc]none: (2.1703230086091624e+277): 4 * [misc]none: (2.68866513359689e-174): 0 * [misc]none: (8.96636707501737e-13): 2 * [misc]none: (1.6082525618587168e-259): 0 * [misc]none: (2.7230496615379425e-188): 0 * [misc]none: (7.15832835948139e-179): 0 * [misc]none: (2.991170371343952e+151): 5 * [misc]none: (8.990843056511833e-32): 1 * [misc]none: (3.9088008390110404e+59): 3 * [misc]none: (6.754325943853309e-283): 0 * [misc]none: (6.354961149716869e-97): 0 * [misc]none: (2.8293820765322485e-296): 0 * [misc]none: (5.3887495676776976e+171): 3 * [misc]none: (9.871143682146977e-239): 0 * [misc]none: (5.123849747663666e+133): 0 * [misc]none: (4.007761912625816e-148): 0 * [misc]none: (3.321054281872602e+251): 0 * [misc]none: (8.452539306620761e+219): 0 * [misc]none: (4.4485313287564445e+252): 4 * [misc]none: (1.120554825473697e-298): 0 * [misc]none: (7.175557259725409e-49): 0 * [misc]none: (4.4800031186106794e-70): 0 * [misc]none: (2.5265807746711182e-73): 0 * [misc]none: (1.4440898226736705e-53): 0 * [misc]none: (2.3912903471184356e-134): 0 * [misc]none: (3.53511184703484e+158): 4 * [misc]none: (1.5780761566396397e+125): 0 * [misc]none: (1.534059348183312e-189): 0 * [misc]none: (2.8419420301747055e+90): 2 * [misc]none: (8.976998414840432e+184): 0 * [misc]none: (3.9122094377392414e+59): 0 * [misc]none: (4.588817619865515e-83): 0 * [misc]none: (6.908716276621429e+42): 3 * [misc]none: (1.074034252081928e-96): 0 * [misc]none: (1.43328810513268e+174): 3 * [misc]none: (1.6570172448601563e-137): 0 * [misc]none: (2.4048926517811354e+66): 3 * [misc]none: (4.0623211606609595e-228): 0 * [misc]none: (1.5982222044177176e+181): 0 * [misc]none: (8.398043771606399e+47): 2 * [misc]none: (6.730955893129463e-197): 0 * [misc]none: (6.724679859609688e-169): 0 * [misc]none: (1.4230714989143866e-75): 0 * [misc]none: (3.493084834288097e-125): 0 * [misc]none: (8.932193317773552e+156): 2 * [misc]none: (6.614130481633629e+300): 0 * [misc]none: (1.3240207557849338e+291): 4 * [misc]none: (3.2574885636926814e-211): 0 * [misc]none: (1.3680169753287455e-53): 0 * [misc]none: (2.2957389429922706e-176): 0 * [misc]none: (1.3610327499536486e+226): 0 * [misc]none: (4.84788597345363e+32): 3 * [misc]none: (1.0657402022625375e+129): 4 * [misc]none: (1.7927880379985524e+252): 0 * [misc]none: (1.0006462262322276e+238): 4 * [misc]none: (1.9963004369674967e-80): 0 * [misc]none: (1.4604179220567222e+231): 4 * [misc]none: (1.5216315041338872e-218): 0 * [misc]none: (1.6707151526371295e-190): 0 * [misc]none: (5.1990169359560766e-256): 0 * [misc]none: (8.044445972631143e-28): 1 * [misc]none: (2.635030752287841e+186): 2 * [misc]none: (4.12100928340286e-184): 0 * [misc]none: (9.74865050931635e+298): 0 * [misc]none: (8.361834195928021e-55): 0 * [misc]none: (7.311006071291519e-101): 0 * [misc]none: (1.782256728493473e+35): 2 * [misc]none: (6.657191501816709e+167): 5 * [misc]none: (8.382633428275648e-297): 0 * [misc]none: (2.0703305241322436e+71): 2 * [misc]none: (6.099737398723264e-279): 0 * [misc]none: (2.6679523035634032e-104): 0 * [misc]none: (8.366391802268445e+167): 0 * [misc]none: (2.870509274337958e-101): 0 * [misc]none: (4.384610242475067e+141): 0 * [misc]none: (1.4474621781713568e+65): 2 * [misc]none: (5.154503491655989e+241): 4 * [misc]none: (5.0588074473585105e-110): 0 * [misc]none: (3.742291531299835e+250): 4 * [misc]none: (5.013161881068948e+307): 5 * [misc]none: (66089027839097.664): 0 * [misc]none: (1.4351275309127672e-234): 0 * [misc]none: (4.416557773834991e-25): 0 * [misc]none: (3.0442880854679596e-31): 1 * [misc]none: (4.664141571059094e-118): 0 * [misc]none: Picked alt (λ (x) (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))) * * * * [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 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) in x * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- +nan.0) 1)))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt 1))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) in x * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- +nan.0) 1)))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt 1))) into +nan.0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) in x * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- +nan.0) 1)))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt 1))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) in x * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- +nan.0) 1)))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt 1))) into +nan.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 +nan.0) (* +nan.0 1)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ -1/8 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- +nan.0) 1)) (* (- +nan.0) (/ (- +nan.0) 1)))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- (- +nan.0) (pow +nan.0 2) (+)) (* 2 1)) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ -1/8 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- +nan.0) 1)) (* (- +nan.0) (/ (- +nan.0) 1)))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- (- +nan.0) (pow +nan.0 2) (+)) (* 2 1)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 1 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 1))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow x 2)) (+ (* (- +nan.0) x) 1)) into (- 1 (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) (sqrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) (sqrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) in x * [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 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 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 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 (sqrt +nan.0) into (sqrt +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) 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 (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) in x * [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 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 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 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 (sqrt +nan.0) into (sqrt +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) 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 (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) (sqrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) in x * [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 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 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 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 (sqrt +nan.0) into (sqrt +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) 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 (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) in x * [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 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 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 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 (sqrt +nan.0) into (sqrt +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) 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) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2) * [misc]backup-simplify: Simplify (pow (sqrt +nan.0) 2) into (pow (sqrt +nan.0) 2) * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) (/ +nan.0 (sqrt +nan.0))) (* (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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) (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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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) (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 (+ (* (sqrt +nan.0) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ +nan.0 (sqrt +nan.0))) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +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 (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (pow (sqrt +nan.0) 2))) into (- (pow (sqrt +nan.0) 2) (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow x 2)))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) (sqrt (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) (sqrt (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) in x * [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 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 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 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 (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 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) 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 (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) in x * [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 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 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 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 (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 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) 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 (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) (sqrt (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) in x * [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 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 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 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 (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 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) 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 (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) in x * [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 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 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 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 (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 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) 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) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2) * [misc]backup-simplify: Simplify (pow (sqrt +nan.0) 2) into (pow (sqrt +nan.0) 2) * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) (/ +nan.0 (sqrt +nan.0))) (* (/ +nan.0 (sqrt +nan.0)) (sqrt +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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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) (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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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) (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 (+ (* (sqrt +nan.0) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ +nan.0 (sqrt +nan.0))) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +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 (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (pow (sqrt +nan.0) 2))) into (- (pow (sqrt +nan.0) 2) (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow x 2)))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1) * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 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 (- (+ (* 1 (/ (- +nan.0) 1)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ -1/8 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- +nan.0) 1)) (* (- +nan.0) (/ (- +nan.0) 1)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow x 2)) (+ (* (- +nan.0) x) 1)) 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 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 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 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 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 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 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 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 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 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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: [ 3 / 4 ] generating series at (2 1 1) * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 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 (- (+ (* 1 (/ (- +nan.0) 1)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ -1/8 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- +nan.0) 1)) (* (- +nan.0) (/ (- +nan.0) 1)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow x 2)) (+ (* (- +nan.0) x) 1)) 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 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 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 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 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 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 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 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 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 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) in x * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- +nan.0) 1)))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt 1))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) in x * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- +nan.0) 1)))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt 1))) into +nan.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ -1/8 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- +nan.0) 1)) (* (- +nan.0) (/ (- +nan.0) 1)))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- (- +nan.0) (pow +nan.0 2) (+)) (* 2 1)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow x 2)) (+ (* +nan.0 x) 1)) into (- 1 (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))) * [misc]approximate: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) in x * [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 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 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 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 (sqrt +nan.0) into (sqrt +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) 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 (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) in x * [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 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 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 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 (sqrt +nan.0) into (sqrt +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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) (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 (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) in x * [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 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 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 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 (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 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) 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 (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) in x * [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 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 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 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 (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 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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) (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 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1/2 1/2) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (+ 1/2 1/2) * [exit]simplify: Simplified to (+ 1/2 1/2) * * * * [misc]progress: [ 2 / 105 ] 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 1) * [exit]simplify: Simplified to (+ 1 1) * * * * [misc]progress: [ 3 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/ 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 (18 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ 1 (* (+ (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)))) * * * * [misc]progress: [ 4 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) * * * * [misc]progress: [ 5 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 105 ] 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 1) * [exit]simplify: Simplified to (+ 1 1) * * * * [misc]progress: [ 7 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) (log (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) (log (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))) * [exit]simplify: Simplified to (+ (log (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) (log (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))) * * * * [misc]progress: [ 9 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (log (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * [exit]simplify: Simplified to (log (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 10 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (/ 1 (+ (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 (exp (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * [exit]simplify: Simplified to (exp (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 11 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) (* (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (132 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: [ 12 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))) (cbrt (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 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 (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 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: [ 13 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))) (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (128 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: [ 14 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/ 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 (18 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ 1 (* (+ (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)))) * * * * [misc]progress: [ 15 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (/ 1 (+ (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 (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (/ 1 (+ (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: [ 16 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 1) (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [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: [ 18 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (* (cbrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))) * * * * [misc]progress: [ 20 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (* (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (* (fabs (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 21 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 22 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (* (sqrt 1) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (* (sqrt 1) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 23 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (* (sqrt 1) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (* (sqrt 1) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 24 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (/ 1 (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 (+ (* (+ x 1) (sqrt (+ x 1))) (* x (sqrt x))))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (* (sqrt (/ 1 (+ (* (+ x 1) (sqrt (+ x 1))) (* x (sqrt x))))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 25 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (/ 1 (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 1)) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (* (sqrt (/ 1 1)) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 26 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 27 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (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: [ 28 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 29 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (* (sqrt (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 30 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 31 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) * * * * [misc]progress: [ 32 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) * * * * [misc]progress: [ 33 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1)) (sqrt x))))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) (sqrt (- (+ (+ 1 x) x) (* (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (* (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) (sqrt (- (+ (+ 1 x) x) (* (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 34 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (sqrt (+ x 1)) (sqrt x))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (* (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt (/ 1 (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (* (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt (/ 1 (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 35 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 36 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) * * * * [misc]progress: [ 37 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (* (sqrt 1) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (* (sqrt 1) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 38 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 1) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (* (sqrt 1) (sqrt (/ 1 (+ (sqrt (+ 1 x)) (sqrt x))))) * [exit]simplify: Simplified to (* (sqrt 1) (sqrt (/ 1 (+ (sqrt (+ 1 x)) (sqrt x))))) * * * * [misc]progress: [ 39 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 105 ] 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: [ 42 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 105 ] 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: [ 44 / 105 ] 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: [ 45 / 105 ] 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: [ 46 / 105 ] 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: [ 47 / 105 ] 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: [ 48 / 105 ] 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: [ 49 / 105 ] 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: [ 50 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 105 ] 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: [ 52 / 105 ] 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: [ 53 / 105 ] 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: [ 54 / 105 ] 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: [ 55 / 105 ] 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: [ 56 / 105 ] 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: [ 57 / 105 ] 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: [ 58 / 105 ] 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: [ 59 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 105 ] 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: [ 61 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 105 ] 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: [ 63 / 105 ] 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: [ 64 / 105 ] 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: [ 65 / 105 ] 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: [ 66 / 105 ] 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: [ 67 / 105 ] 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: [ 68 / 105 ] 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: [ 69 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 105 ] 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: [ 71 / 105 ] 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: [ 72 / 105 ] 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: [ 73 / 105 ] 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: [ 74 / 105 ] 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: [ 75 / 105 ] 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: [ 76 / 105 ] 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: [ 77 / 105 ] 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: [ 78 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ 1 (+ (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 (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (log (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 81 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (exp (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (exp (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 82 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))) * [enter]simplify: Simplifying (cbrt (sqrt (/ 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 (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (cbrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 83 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (* (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (* (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 84 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (fabs (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (fabs (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * [enter]simplify: Simplifying (sqrt (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 (sqrt (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (sqrt (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 85 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (sqrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * [enter]simplify: Simplifying (sqrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (sqrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 86 / 105 ] 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 (/ 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: [ 87 / 105 ] 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 (/ 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: [ 88 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (+ (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 (sqrt (/ 1 (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x)))) * [exit]simplify: Simplified to (sqrt (/ 1 (+ (* (+ 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))))) * * [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: [ 89 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (- (* (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 (sqrt (/ 1 1)) * [exit]simplify: Simplified to (sqrt (/ 1 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: [ 90 / 105 ] 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: [ 91 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (sqrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * [enter]simplify: Simplifying (sqrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (sqrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 92 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 94 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))) * * * * [misc]progress: [ 95 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (sqrt +nan.0) 2) (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow x 2)))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * * * * [misc]progress: [ 96 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (sqrt +nan.0) 2) (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow x 2)))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * * * * [misc]progress: [ 97 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (- 1 (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))))) * * * * [misc]progress: [ 98 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))))) * * * * [misc]progress: [ 99 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))))) * * * * [misc]progress: [ 100 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- 1 (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x))))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 101 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2))))))))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 102 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2))))))))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 103 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (- 1 (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x))))) * * * * [misc]progress: [ 104 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ (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: [ 105 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ (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: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 9 * [misc]none: All alts: 10 * [misc]none: Fresh alt: (λ (x) (cbrt (pow (- (sqrt (+ 1 x)) (sqrt x)) 3))) * [misc]none: Fresh alt: (λ (x) (* (/ 1 (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3))) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1)) (sqrt x)))))) * [misc]none: Fresh alt: (λ (x) (* (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (* (cbrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))))) (cbrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))))) * [misc]none: Fresh alt: (λ (x) (cbrt (/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (* (+ (sqrt (+ x 1)) (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x)))))) * [misc]none: Non-fresh alt: (λ (x) (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * [misc]none: Fresh alt: (λ (x) (* (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))) (sqrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))))) * [misc]none: Fresh alt: (λ (x) (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * [misc]none: Fresh alt: (λ (x) (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (* (* (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))))) * [misc]none: Fresh alt: (λ (x) (pow (/ 1 (* (+ (sqrt (+ x 1)) (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x)))) 1/2)) * [misc]none: Fresh alt: (λ (x) (* (* (cbrt (- (sqrt (+ x 1)) (sqrt x))) (cbrt (- (sqrt (+ x 1)) (sqrt x)))) (cbrt (- (sqrt (+ x 1)) (sqrt x))))) * [misc]none: Fresh alt indices * [misc]none: (λ (x) (cbrt (pow (- (sqrt (+ 1 x)) (sqrt x)) 3))): 0 * [misc]none: (λ (x) (* (/ 1 (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3))) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1)) (sqrt x)))))): 1 * [misc]none: (λ (x) (* (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (* (cbrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))))) (cbrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))))): 2 * [misc]none: (λ (x) (cbrt (/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (* (+ (sqrt (+ x 1)) (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x)))))): 3 * [misc]none: (λ (x) (* (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))) (sqrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))))): 4 * [misc]none: (λ (x) (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))): 5 * [misc]none: (λ (x) (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (* (* (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))))): 6 * [misc]none: (λ (x) (pow (/ 1 (* (+ (sqrt (+ x 1)) (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x)))) 1/2)): 7 * [misc]none: (λ (x) (* (* (cbrt (- (sqrt (+ x 1)) (sqrt x))) (cbrt (- (sqrt (+ x 1)) (sqrt x)))) (cbrt (- (sqrt (+ x 1)) (sqrt x))))): 8 * [misc]none: Best fresh alt per point * [misc]none: (3.9135950474809954e+67): 1 * [misc]none: (1.1750256677114723e+302): 4 * [misc]none: (1.7531612809893653e+136): 3 * [misc]none: (8.844853331262414e+38): 1 * [misc]none: (1.178943808525994e-266): 0 * [misc]none: (9.178781884958768e+207): 6 * [misc]none: (1.0483964125162862e-06): 0 * [misc]none: (8.105463665693362e-194): 0 * [misc]none: (5.027897585816787e-27): 0 * [misc]none: (0.3310558223342685): 6 * [misc]none: (8.127248813391785e+226): 5 * [misc]none: (7.299372666988037e-80): 0 * [misc]none: (3.506434173585025e+201): 1 * [misc]none: (2.0971939106770033e-216): 0 * [misc]none: (1.504878381563487e-123): 0 * [misc]none: (8.06210226572923e-308): 0 * [misc]none: (1.3704592194822044e+306): 2 * [misc]none: (1.5354587375460247e+100): 3 * [misc]none: (2.0724540688985427e-14): 0 * [misc]none: (7.930730410937821e+23): 3 * [misc]none: (1.2219765589404705e+117): 1 * [misc]none: (4.8815870270916733e+188): 3 * [misc]none: (6.537529222720653e-92): 0 * [misc]none: (3.5709688782890513e-43): 0 * [misc]none: (4.870593988390179e-194): 0 * [misc]none: (5.0297272719312193e+287): 4 * [misc]none: (5.41731325733976e-115): 0 * [misc]none: (1.0395093493101161e-28): 1 * [misc]none: (5.540829799846932e-307): 0 * [misc]none: (8.949756960721031e-195): 0 * [misc]none: (2.722605535602291e+155): 1 * [misc]none: (2.9453252035345084e+174): 4 * [misc]none: (1.0160216232612932e-143): 0 * [misc]none: (4.178563936936926e-127): 0 * [misc]none: (2.1657839461347663e+307): 2 * [misc]none: (6.629963208070179e-180): 0 * [misc]none: (2.5453262068352747e+307): 6 * [misc]none: (1.7005338626981419e-143): 0 * [misc]none: (7.808994559121766e-111): 0 * [misc]none: (8.788013174305029e-230): 0 * [misc]none: (2.5557776305939374e+86): 1 * [misc]none: (3.2454192740264175e-113): 0 * [misc]none: (4.896551008070313e-307): 0 * [misc]none: (1.2607016124581028e+98): 3 * [misc]none: (6.351701463874224e-34): 0 * [misc]none: (1.1127979592570306e-297): 0 * [misc]none: (2.0134175477923286e-117): 0 * [misc]none: (3.3910436622012204e+183): 1 * [misc]none: (2.1370924660732585e-137): 0 * [misc]none: (5.027318832526334e+284): 4 * [misc]none: (1.0214816826091913e+147): 7 * [misc]none: (9.44950370602155e+215): 4 * [misc]none: (1.453842915541268e+187): 3 * [misc]none: (4.172324580820008e-133): 0 * [misc]none: (1.6563474243613627e-33): 0 * [misc]none: (1.0684729481870001e-64): 0 * [misc]none: (6.3073426358942834e+75): 1 * [misc]none: (3.1520683467019444e-71): 0 * [misc]none: (0.19659739803111875): 1 * [misc]none: (7.786539791485611e+181): 5 * [misc]none: (2.4995037253728046e-268): 0 * [misc]none: (4.637177905335891e-10): 8 * [misc]none: (8.652041834233969e-101): 0 * [misc]none: (3.209451012414084e+270): 7 * [misc]none: (3.7907433031673317e-256): 0 * [misc]none: (8.76720870691781e-247): 0 * [misc]none: (6.160331831501279e+241): 6 * [misc]none: (3.4124175886179475e+199): 1 * [misc]none: (3.0044088767799776e-30): 0 * [misc]none: (4.7140908881238785e+103): 1 * [misc]none: (2.3604863517900675e+30): 3 * [misc]none: (6.476730028728146e-228): 0 * [misc]none: (3.369115258471057e+173): 1 * [misc]none: (1.3383461391823352e+303): 2 * [misc]none: (2.3157792094796435e+174): 4 * [misc]none: (4.097601147132013e-78): 0 * [misc]none: (4.194634882433556e+107): 1 * [misc]none: (3.3390334975960143e-07): 0 * [misc]none: (2.2475155879831534e-92): 0 * [misc]none: (1.030614327019319e-115): 0 * [misc]none: (1.8172920677413648e+103): 5 * [misc]none: (1.186346974675696e+155): 5 * [misc]none: (6.283729883572828e+84): 4 * [misc]none: (3.6636765762957594e-187): 0 * [misc]none: (1.7036347403091437e+117): 1 * [misc]none: (9.645064592867311e+67): 1 * [misc]none: (1.3872947227834175e-251): 0 * [misc]none: (7.12145855246931e-10): 1 * [misc]none: (2.693461062117409e-112): 0 * [misc]none: (1.6465279540530418e+78): 4 * [misc]none: (2.43524332605807e-278): 0 * [misc]none: (1.0576788912710565e-08): 1 * [misc]none: (4.764080499693186e-90): 0 * [misc]none: (1.3557350350348342e+244): 5 * [misc]none: (1.89639974853721e+92): 7 * [misc]none: (8.2625435987749e+74): 5 * [misc]none: (5.2790261762422465e+19): 7 * [misc]none: (2.0179287053921742e+58): 1 * [misc]none: (2.884705125857619e-274): 0 * [misc]none: (2.031068672850261e-255): 0 * [misc]none: (2.4294527094706238e+82): 1 * [misc]none: (7.274711555473555e+146): 4 * [misc]none: (1.5565784464325313e+71): 1 * [misc]none: (1.2222184804619167e+37): 1 * [misc]none: (4.642568065399805e-260): 0 * [misc]none: (3.8347842435652736e+125): 1 * [misc]none: (7.178809205583962e-175): 0 * [misc]none: (1.4235559851356953e-239): 0 * [misc]none: (4.74667737826054e-29): 1 * [misc]none: (1.868517529275615e+140): 4 * [misc]none: (1.5276944825842992e+272): 6 * [misc]none: (2.1335024129380783e-97): 0 * [misc]none: (1.0953112641111952e+229): 4 * [misc]none: (3.2587696828142436e+75): 2 * [misc]none: (3.7735141958833343e+170): 3 * [misc]none: (1.0233799517176219e-267): 0 * [misc]none: (5.348181441205713e-277): 0 * [misc]none: (2.6631876145177815e-299): 0 * [misc]none: (1.4781375733319608e-242): 0 * [misc]none: (3.003847336951168e+42): 4 * [misc]none: (1.6609596531041104e-183): 0 * [misc]none: (9.568527921939742e-273): 0 * [misc]none: (2.654414227492494e+20): 1 * [misc]none: (1.7090726067739176e-227): 0 * [misc]none: (7.696162327562603e-152): 0 * [misc]none: (5.106850318067203e-223): 0 * [misc]none: (1.3381086996667414e-215): 0 * [misc]none: (1.0224180420716733e-52): 0 * [misc]none: (9.705038014433044e-175): 0 * [misc]none: (6.028770352690154e-151): 0 * [misc]none: (6.224141164637054e+75): 5 * [misc]none: (2.3623052767393814e+153): 1 * [misc]none: (4.4633600804799425e+142): 2 * [misc]none: (1.2790861077923577e+68): 1 * [misc]none: (1.0592112097552954e+143): 7 * [misc]none: (1.6780592368033288e-262): 0 * [misc]none: (1.5331200777386884e+269): 6 * [misc]none: (2.973444851318118e-169): 0 * [misc]none: (1.6828576275377584e-98): 0 * [misc]none: (4.5525663232975395e+86): 4 * [misc]none: (4.922686678959719e-213): 0 * [misc]none: (9.601043864442096e+176): 1 * [misc]none: (5.752669291865014e-257): 0 * [misc]none: (3.0310347416413137e-258): 0 * [misc]none: (3.727663855470157e+254): 5 * [misc]none: (8.775974517752829e+204): 7 * [misc]none: (1.5758037123807388e+87): 6 * [misc]none: (2.4492953260422185e+131): 3 * [misc]none: (5.835395598392501e+198): 7 * [misc]none: (2.2545095115116114e+189): 7 * [misc]none: (2.4757193927168845e-307): 0 * [misc]none: (1.457018723838865e-35): 0 * [misc]none: (9.424239481611678e-294): 0 * [misc]none: (1.5096638452158614e-71): 0 * [misc]none: (6.967234360883543e-112): 0 * [misc]none: (2.0770495361468835e+203): 1 * [misc]none: (3.1401318723071353e-131): 0 * [misc]none: (0.228970627026966): 0 * [misc]none: (8.40469635347052e+100): 2 * [misc]none: (2.1321881547753267e-44): 0 * [misc]none: (1.7739584018359304e-207): 0 * [misc]none: (6.866799226360426e-109): 0 * [misc]none: (6.417434319517234e+231): 5 * [misc]none: (4.508352673437809e+248): 7 * [misc]none: (1.430295312965348e-149): 0 * [misc]none: (3.112001531242655e+80): 1 * [misc]none: (3.0475240801607222e-148): 0 * [misc]none: (1.4966275592591335e-123): 0 * [misc]none: (6.384545099874781e-168): 0 * [misc]none: (4.232269734875141e-205): 0 * [misc]none: (4.1020469956028986e+24): 4 * [misc]none: (2.1703230086091624e+277): 5 * [misc]none: (2.68866513359689e-174): 0 * [misc]none: (8.96636707501737e-13): 1 * [misc]none: (1.6082525618587168e-259): 0 * [misc]none: (2.7230496615379425e-188): 0 * [misc]none: (7.15832835948139e-179): 0 * [misc]none: (2.991170371343952e+151): 5 * [misc]none: (8.990843056511833e-32): 0 * [misc]none: (3.9088008390110404e+59): 3 * [misc]none: (6.754325943853309e-283): 0 * [misc]none: (6.354961149716869e-97): 0 * [misc]none: (2.8293820765322485e-296): 0 * [misc]none: (5.3887495676776976e+171): 3 * [misc]none: (9.871143682146977e-239): 0 * [misc]none: (5.123849747663666e+133): 1 * [misc]none: (4.007761912625816e-148): 0 * [misc]none: (3.321054281872602e+251): 5 * [misc]none: (8.452539306620761e+219): 2 * [misc]none: (4.4485313287564445e+252): 6 * [misc]none: (1.120554825473697e-298): 0 * [misc]none: (7.175557259725409e-49): 0 * [misc]none: (4.4800031186106794e-70): 0 * [misc]none: (2.5265807746711182e-73): 0 * [misc]none: (1.4440898226736705e-53): 0 * [misc]none: (2.3912903471184356e-134): 0 * [misc]none: (3.53511184703484e+158): 1 * [misc]none: (1.5780761566396397e+125): 1 * [misc]none: (1.534059348183312e-189): 0 * [misc]none: (2.8419420301747055e+90): 1 * [misc]none: (8.976998414840432e+184): 3 * [misc]none: (3.9122094377392414e+59): 3 * [misc]none: (4.588817619865515e-83): 0 * [misc]none: (6.908716276621429e+42): 3 * [misc]none: (1.074034252081928e-96): 0 * [misc]none: (1.43328810513268e+174): 3 * [misc]none: (1.6570172448601563e-137): 0 * [misc]none: (2.4048926517811354e+66): 2 * [misc]none: (4.0623211606609595e-228): 0 * [misc]none: (1.5982222044177176e+181): 3 * [misc]none: (8.398043771606399e+47): 1 * [misc]none: (6.730955893129463e-197): 0 * [misc]none: (6.724679859609688e-169): 0 * [misc]none: (1.4230714989143866e-75): 0 * [misc]none: (3.493084834288097e-125): 0 * [misc]none: (8.932193317773552e+156): 1 * [misc]none: (6.614130481633629e+300): 4 * [misc]none: (1.3240207557849338e+291): 6 * [misc]none: (3.2574885636926814e-211): 0 * [misc]none: (1.3680169753287455e-53): 0 * [misc]none: (2.2957389429922706e-176): 0 * [misc]none: (1.3610327499536486e+226): 4 * [misc]none: (4.84788597345363e+32): 3 * [misc]none: (1.0657402022625375e+129): 7 * [misc]none: (1.7927880379985524e+252): 4 * [misc]none: (1.0006462262322276e+238): 7 * [misc]none: (1.9963004369674967e-80): 0 * [misc]none: (1.4604179220567222e+231): 7 * [misc]none: (1.5216315041338872e-218): 0 * [misc]none: (1.6707151526371295e-190): 0 * [misc]none: (5.1990169359560766e-256): 0 * [misc]none: (8.044445972631143e-28): 0 * [misc]none: (2.635030752287841e+186): 1 * [misc]none: (4.12100928340286e-184): 0 * [misc]none: (9.74865050931635e+298): 7 * [misc]none: (8.361834195928021e-55): 0 * [misc]none: (7.311006071291519e-101): 0 * [misc]none: (1.782256728493473e+35): 1 * [misc]none: (6.657191501816709e+167): 5 * [misc]none: (8.382633428275648e-297): 0 * [misc]none: (2.0703305241322436e+71): 1 * [misc]none: (6.099737398723264e-279): 0 * [misc]none: (2.6679523035634032e-104): 0 * [misc]none: (8.366391802268445e+167): 3 * [misc]none: (2.870509274337958e-101): 0 * [misc]none: (4.384610242475067e+141): 4 * [misc]none: (1.4474621781713568e+65): 1 * [misc]none: (5.154503491655989e+241): 5 * [misc]none: (5.0588074473585105e-110): 0 * [misc]none: (3.742291531299835e+250): 2 * [misc]none: (5.013161881068948e+307): 4 * [misc]none: (66089027839097.664): 4 * [misc]none: (1.4351275309127672e-234): 0 * [misc]none: (4.416557773834991e-25): 1 * [misc]none: (3.0442880854679596e-31): 0 * [misc]none: (4.664141571059094e-118): 0 * [misc]none: All alt indices * [misc]none: (λ (x) (cbrt (pow (- (sqrt (+ 1 x)) (sqrt x)) 3))): 0 * [misc]none: (λ (x) (* (/ 1 (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3))) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1)) (sqrt x)))))): 1 * [misc]none: (λ (x) (* (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (* (cbrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))))) (cbrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))))): 2 * [misc]none: (λ (x) (cbrt (/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (* (+ (sqrt (+ x 1)) (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x)))))): 3 * [misc]none: (λ (x) (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))): 4 * [misc]none: (λ (x) (* (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))) (sqrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))))): 5 * [misc]none: (λ (x) (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))): 6 * [misc]none: (λ (x) (* (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (* (* (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))))): 7 * [misc]none: (λ (x) (pow (/ 1 (* (+ (sqrt (+ x 1)) (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x)))) 1/2)): 8 * [misc]none: (λ (x) (* (* (cbrt (- (sqrt (+ x 1)) (sqrt x))) (cbrt (- (sqrt (+ x 1)) (sqrt x)))) (cbrt (- (sqrt (+ x 1)) (sqrt x))))): 9 * [misc]none: Best alt per point * [misc]none: (3.9135950474809954e+67): 1 * [misc]none: (1.1750256677114723e+302): 4 * [misc]none: (1.7531612809893653e+136): 3 * [misc]none: (8.844853331262414e+38): 1 * [misc]none: (1.178943808525994e-266): 0 * [misc]none: (9.178781884958768e+207): 4 * [misc]none: (1.0483964125162862e-06): 0 * [misc]none: (8.105463665693362e-194): 0 * [misc]none: (5.027897585816787e-27): 0 * [misc]none: (0.3310558223342685): 4 * [misc]none: (8.127248813391785e+226): 6 * [misc]none: (7.299372666988037e-80): 0 * [misc]none: (3.506434173585025e+201): 1 * [misc]none: (2.0971939106770033e-216): 0 * [misc]none: (1.504878381563487e-123): 0 * [misc]none: (8.06210226572923e-308): 0 * [misc]none: (1.3704592194822044e+306): 2 * [misc]none: (1.5354587375460247e+100): 3 * [misc]none: (2.0724540688985427e-14): 0 * [misc]none: (7.930730410937821e+23): 3 * [misc]none: (1.2219765589404705e+117): 1 * [misc]none: (4.8815870270916733e+188): 3 * [misc]none: (6.537529222720653e-92): 0 * [misc]none: (3.5709688782890513e-43): 0 * [misc]none: (4.870593988390179e-194): 0 * [misc]none: (5.0297272719312193e+287): 4 * [misc]none: (5.41731325733976e-115): 0 * [misc]none: (1.0395093493101161e-28): 1 * [misc]none: (5.540829799846932e-307): 0 * [misc]none: (8.949756960721031e-195): 0 * [misc]none: (2.722605535602291e+155): 1 * [misc]none: (2.9453252035345084e+174): 4 * [misc]none: (1.0160216232612932e-143): 0 * [misc]none: (4.178563936936926e-127): 0 * [misc]none: (2.1657839461347663e+307): 2 * [misc]none: (6.629963208070179e-180): 0 * [misc]none: (2.5453262068352747e+307): 4 * [misc]none: (1.7005338626981419e-143): 0 * [misc]none: (7.808994559121766e-111): 0 * [misc]none: (8.788013174305029e-230): 0 * [misc]none: (2.5557776305939374e+86): 1 * [misc]none: (3.2454192740264175e-113): 0 * [misc]none: (4.896551008070313e-307): 0 * [misc]none: (1.2607016124581028e+98): 3 * [misc]none: (6.351701463874224e-34): 0 * [misc]none: (1.1127979592570306e-297): 0 * [misc]none: (2.0134175477923286e-117): 0 * [misc]none: (3.3910436622012204e+183): 1 * [misc]none: (2.1370924660732585e-137): 0 * [misc]none: (5.027318832526334e+284): 4 * [misc]none: (1.0214816826091913e+147): 8 * [misc]none: (9.44950370602155e+215): 4 * [misc]none: (1.453842915541268e+187): 3 * [misc]none: (4.172324580820008e-133): 0 * [misc]none: (1.6563474243613627e-33): 0 * [misc]none: (1.0684729481870001e-64): 0 * [misc]none: (6.3073426358942834e+75): 1 * [misc]none: (3.1520683467019444e-71): 0 * [misc]none: (0.19659739803111875): 1 * [misc]none: (7.786539791485611e+181): 6 * [misc]none: (2.4995037253728046e-268): 0 * [misc]none: (4.637177905335891e-10): 9 * [misc]none: (8.652041834233969e-101): 0 * [misc]none: (3.209451012414084e+270): 4 * [misc]none: (3.7907433031673317e-256): 0 * [misc]none: (8.76720870691781e-247): 0 * [misc]none: (6.160331831501279e+241): 4 * [misc]none: (3.4124175886179475e+199): 1 * [misc]none: (3.0044088767799776e-30): 0 * [misc]none: (4.7140908881238785e+103): 1 * [misc]none: (2.3604863517900675e+30): 3 * [misc]none: (6.476730028728146e-228): 0 * [misc]none: (3.369115258471057e+173): 1 * [misc]none: (1.3383461391823352e+303): 2 * [misc]none: (2.3157792094796435e+174): 5 * [misc]none: (4.097601147132013e-78): 0 * [misc]none: (4.194634882433556e+107): 1 * [misc]none: (3.3390334975960143e-07): 0 * [misc]none: (2.2475155879831534e-92): 0 * [misc]none: (1.030614327019319e-115): 0 * [misc]none: (1.8172920677413648e+103): 6 * [misc]none: (1.186346974675696e+155): 4 * [misc]none: (6.283729883572828e+84): 4 * [misc]none: (3.6636765762957594e-187): 0 * [misc]none: (1.7036347403091437e+117): 1 * [misc]none: (9.645064592867311e+67): 1 * [misc]none: (1.3872947227834175e-251): 0 * [misc]none: (7.12145855246931e-10): 1 * [misc]none: (2.693461062117409e-112): 0 * [misc]none: (1.6465279540530418e+78): 5 * [misc]none: (2.43524332605807e-278): 0 * [misc]none: (1.0576788912710565e-08): 1 * [misc]none: (4.764080499693186e-90): 0 * [misc]none: (1.3557350350348342e+244): 4 * [misc]none: (1.89639974853721e+92): 4 * [misc]none: (8.2625435987749e+74): 4 * [misc]none: (5.2790261762422465e+19): 4 * [misc]none: (2.0179287053921742e+58): 1 * [misc]none: (2.884705125857619e-274): 0 * [misc]none: (2.031068672850261e-255): 0 * [misc]none: (2.4294527094706238e+82): 1 * [misc]none: (7.274711555473555e+146): 4 * [misc]none: (1.5565784464325313e+71): 1 * [misc]none: (1.2222184804619167e+37): 1 * [misc]none: (4.642568065399805e-260): 0 * [misc]none: (3.8347842435652736e+125): 1 * [misc]none: (7.178809205583962e-175): 0 * [misc]none: (1.4235559851356953e-239): 0 * [misc]none: (4.74667737826054e-29): 1 * [misc]none: (1.868517529275615e+140): 4 * [misc]none: (1.5276944825842992e+272): 4 * [misc]none: (2.1335024129380783e-97): 0 * [misc]none: (1.0953112641111952e+229): 4 * [misc]none: (3.2587696828142436e+75): 2 * [misc]none: (3.7735141958833343e+170): 3 * [misc]none: (1.0233799517176219e-267): 0 * [misc]none: (5.348181441205713e-277): 0 * [misc]none: (2.6631876145177815e-299): 0 * [misc]none: (1.4781375733319608e-242): 0 * [misc]none: (3.003847336951168e+42): 4 * [misc]none: (1.6609596531041104e-183): 0 * [misc]none: (9.568527921939742e-273): 0 * [misc]none: (2.654414227492494e+20): 1 * [misc]none: (1.7090726067739176e-227): 0 * [misc]none: (7.696162327562603e-152): 0 * [misc]none: (5.106850318067203e-223): 0 * [misc]none: (1.3381086996667414e-215): 0 * [misc]none: (1.0224180420716733e-52): 0 * [misc]none: (9.705038014433044e-175): 0 * [misc]none: (6.028770352690154e-151): 0 * [misc]none: (6.224141164637054e+75): 4 * [misc]none: (2.3623052767393814e+153): 1 * [misc]none: (4.4633600804799425e+142): 2 * [misc]none: (1.2790861077923577e+68): 1 * [misc]none: (1.0592112097552954e+143): 4 * [misc]none: (1.6780592368033288e-262): 0 * [misc]none: (1.5331200777386884e+269): 4 * [misc]none: (2.973444851318118e-169): 0 * [misc]none: (1.6828576275377584e-98): 0 * [misc]none: (4.5525663232975395e+86): 4 * [misc]none: (4.922686678959719e-213): 0 * [misc]none: (9.601043864442096e+176): 1 * [misc]none: (5.752669291865014e-257): 0 * [misc]none: (3.0310347416413137e-258): 0 * [misc]none: (3.727663855470157e+254): 4 * [misc]none: (8.775974517752829e+204): 8 * [misc]none: (1.5758037123807388e+87): 7 * [misc]none: (2.4492953260422185e+131): 3 * [misc]none: (5.835395598392501e+198): 8 * [misc]none: (2.2545095115116114e+189): 4 * [misc]none: (2.4757193927168845e-307): 0 * [misc]none: (1.457018723838865e-35): 0 * [misc]none: (9.424239481611678e-294): 0 * [misc]none: (1.5096638452158614e-71): 0 * [misc]none: (6.967234360883543e-112): 0 * [misc]none: (2.0770495361468835e+203): 1 * [misc]none: (3.1401318723071353e-131): 0 * [misc]none: (0.228970627026966): 0 * [misc]none: (8.40469635347052e+100): 2 * [misc]none: (2.1321881547753267e-44): 0 * [misc]none: (1.7739584018359304e-207): 0 * [misc]none: (6.866799226360426e-109): 0 * [misc]none: (6.417434319517234e+231): 4 * [misc]none: (4.508352673437809e+248): 8 * [misc]none: (1.430295312965348e-149): 0 * [misc]none: (3.112001531242655e+80): 1 * [misc]none: (3.0475240801607222e-148): 0 * [misc]none: (1.4966275592591335e-123): 0 * [misc]none: (6.384545099874781e-168): 0 * [misc]none: (4.232269734875141e-205): 0 * [misc]none: (4.1020469956028986e+24): 4 * [misc]none: (2.1703230086091624e+277): 4 * [misc]none: (2.68866513359689e-174): 0 * [misc]none: (8.96636707501737e-13): 1 * [misc]none: (1.6082525618587168e-259): 0 * [misc]none: (2.7230496615379425e-188): 0 * [misc]none: (7.15832835948139e-179): 0 * [misc]none: (2.991170371343952e+151): 6 * [misc]none: (8.990843056511833e-32): 0 * [misc]none: (3.9088008390110404e+59): 3 * [misc]none: (6.754325943853309e-283): 0 * [misc]none: (6.354961149716869e-97): 0 * [misc]none: (2.8293820765322485e-296): 0 * [misc]none: (5.3887495676776976e+171): 3 * [misc]none: (9.871143682146977e-239): 0 * [misc]none: (5.123849747663666e+133): 1 * [misc]none: (4.007761912625816e-148): 0 * [misc]none: (3.321054281872602e+251): 4 * [misc]none: (8.452539306620761e+219): 2 * [misc]none: (4.4485313287564445e+252): 4 * [misc]none: (1.120554825473697e-298): 0 * [misc]none: (7.175557259725409e-49): 0 * [misc]none: (4.4800031186106794e-70): 0 * [misc]none: (2.5265807746711182e-73): 0 * [misc]none: (1.4440898226736705e-53): 0 * [misc]none: (2.3912903471184356e-134): 0 * [misc]none: (3.53511184703484e+158): 4 * [misc]none: (1.5780761566396397e+125): 1 * [misc]none: (1.534059348183312e-189): 0 * [misc]none: (2.8419420301747055e+90): 1 * [misc]none: (8.976998414840432e+184): 3 * [misc]none: (3.9122094377392414e+59): 3 * [misc]none: (4.588817619865515e-83): 0 * [misc]none: (6.908716276621429e+42): 3 * [misc]none: (1.074034252081928e-96): 0 * [misc]none: (1.43328810513268e+174): 3 * [misc]none: (1.6570172448601563e-137): 0 * [misc]none: (2.4048926517811354e+66): 2 * [misc]none: (4.0623211606609595e-228): 0 * [misc]none: (1.5982222044177176e+181): 3 * [misc]none: (8.398043771606399e+47): 1 * [misc]none: (6.730955893129463e-197): 0 * [misc]none: (6.724679859609688e-169): 0 * [misc]none: (1.4230714989143866e-75): 0 * [misc]none: (3.493084834288097e-125): 0 * [misc]none: (8.932193317773552e+156): 1 * [misc]none: (6.614130481633629e+300): 4 * [misc]none: (1.3240207557849338e+291): 4 * [misc]none: (3.2574885636926814e-211): 0 * [misc]none: (1.3680169753287455e-53): 0 * [misc]none: (2.2957389429922706e-176): 0 * [misc]none: (1.3610327499536486e+226): 5 * [misc]none: (4.84788597345363e+32): 3 * [misc]none: (1.0657402022625375e+129): 4 * [misc]none: (1.7927880379985524e+252): 5 * [misc]none: (1.0006462262322276e+238): 4 * [misc]none: (1.9963004369674967e-80): 0 * [misc]none: (1.4604179220567222e+231): 4 * [misc]none: (1.5216315041338872e-218): 0 * [misc]none: (1.6707151526371295e-190): 0 * [misc]none: (5.1990169359560766e-256): 0 * [misc]none: (8.044445972631143e-28): 0 * [misc]none: (2.635030752287841e+186): 1 * [misc]none: (4.12100928340286e-184): 0 * [misc]none: (9.74865050931635e+298): 4 * [misc]none: (8.361834195928021e-55): 0 * [misc]none: (7.311006071291519e-101): 0 * [misc]none: (1.782256728493473e+35): 1 * [misc]none: (6.657191501816709e+167): 6 * [misc]none: (8.382633428275648e-297): 0 * [misc]none: (2.0703305241322436e+71): 1 * [misc]none: (6.099737398723264e-279): 0 * [misc]none: (2.6679523035634032e-104): 0 * [misc]none: (8.366391802268445e+167): 3 * [misc]none: (2.870509274337958e-101): 0 * [misc]none: (4.384610242475067e+141): 4 * [misc]none: (1.4474621781713568e+65): 1 * [misc]none: (5.154503491655989e+241): 4 * [misc]none: (5.0588074473585105e-110): 0 * [misc]none: (3.742291531299835e+250): 2 * [misc]none: (5.013161881068948e+307): 5 * [misc]none: (66089027839097.664): 5 * [misc]none: (1.4351275309127672e-234): 0 * [misc]none: (4.416557773834991e-25): 1 * [misc]none: (3.0442880854679596e-31): 0 * [misc]none: (4.664141571059094e-118): 0 * [misc]none: Picked alt (λ (x) (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [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 1) * * * * [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) * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt 1))) into +nan.0 * [misc]backup-simplify: Simplify (/ 1 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt 1))) into +nan.0 * [misc]backup-simplify: Simplify (/ 1 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt 1))) into +nan.0 * [misc]backup-simplify: Simplify (/ 1 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt 1))) into +nan.0 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ +nan.0 1)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- (/ (- +nan.0) 1) (+ (* 1 (/ +nan.0 1)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ -1/8 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- (- +nan.0) (pow +nan.0 2) (+)) (* 2 1)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ +nan.0 1)) (* (- +nan.0) (/ +nan.0 1)))) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ -1/8 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- (- +nan.0) (pow +nan.0 2) (+)) (* 2 1)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ (- +nan.0) 1) (+ (* 1 (/ +nan.0 1)) (* (- +nan.0) (/ +nan.0 1)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow x 2)) (+ (* (- +nan.0) x) 1)) 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 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 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 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 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 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 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 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 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 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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 (/ 1 (pow (sqrt +nan.0) 3)))) * [misc]backup-simplify: Simplify (- (/ (- (* +nan.0 (/ 1 (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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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 (/ 1 (pow (sqrt +nan.0) 3)))) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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) 5))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) (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 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 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 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 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 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 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 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 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 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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 (/ 1 (pow (sqrt +nan.0) 3)))) * [misc]backup-simplify: Simplify (- (/ (- (* +nan.0 (/ 1 (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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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 (/ 1 (pow (sqrt +nan.0) 3)))) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (* +nan.0 (/ 1 (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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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) 5))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) (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: [ 2 / 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt 1))) into +nan.0 * [misc]backup-simplify: Simplify (/ 1 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt 1))) into +nan.0 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ +nan.0 1)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ -1/8 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- (- +nan.0) (pow +nan.0 2) (+)) (* 2 1)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ +nan.0 1)) (* (- +nan.0) (/ +nan.0 1)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow x 2)) (+ (* (- +nan.0) x) 1)) 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 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 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 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 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 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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 (/ 1 (pow (sqrt +nan.0) 3)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))) into (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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 (/ 1 (pow (sqrt +nan.0) 3)))) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) (pow (/ 1 x) 2)) (+ (* (- (* +nan.0 (/ 1 (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 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 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 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 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 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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 (/ 1 (pow (sqrt +nan.0) 3)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))) into (- (* +nan.0 (/ 1 (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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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 (/ 1 (pow (sqrt +nan.0) 3)))) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) (pow (/ 1 (- x)) 2)) (+ (* (- (* +nan.0 (/ 1 (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: [ 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt 1))) 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt 1))) into +nan.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ -1/8 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- (- +nan.0) (pow +nan.0 2) (+)) (* 2 1)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow x 2)) (+ (* +nan.0 x) 1)) 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 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 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 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 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 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 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 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 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 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt 1))) 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt 1))) into +nan.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ -1/8 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- (- +nan.0) (pow +nan.0 2) (+)) (* 2 1)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow x 2)) (+ (* +nan.0 x) 1)) 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 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 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 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 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 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 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 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 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 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 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 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) 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 # * [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: [ 2 / 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: [ 3 / 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: [ 4 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 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: [ 6 / 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: [ 7 / 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: [ 8 / 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: [ 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))))) (* (* (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: [ 10 / 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: [ 11 / 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: [ 12 / 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: [ 13 / 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: [ 14 / 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: [ 15 / 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: [ 16 / 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: [ 17 / 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: [ 18 / 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: [ 19 / 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: [ 20 / 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: [ 21 / 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: [ 22 / 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: [ 23 / 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: [ 24 / 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: [ 25 / 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: [ 26 / 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: [ 27 / 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: [ 28 / 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: [ 29 / 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: [ 30 / 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: [ 31 / 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: [ 32 / 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: [ 33 / 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: [ 34 / 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: [ 35 / 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: [ 36 / 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: [ 37 / 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: [ 38 / 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: [ 39 / 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: [ 40 / 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: [ 41 / 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: [ 42 / 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: [ 43 / 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: [ 44 / 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: [ 45 / 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: [ 46 / 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: [ 47 / 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: [ 48 / 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: [ 49 / 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: [ 50 / 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: [ 51 / 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: [ 52 / 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: [ 53 / 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: [ 54 / 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: [ 55 / 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: [ 56 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 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: [ 58 / 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: [ 59 / 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: [ 60 / 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: [ 61 / 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: [ 62 / 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: [ 63 / 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: [ 64 / 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: [ 65 / 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: [ 66 / 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: [ 67 / 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: [ 68 / 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: [ 69 / 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: [ 70 / 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: [ 71 / 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: [ 72 / 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: [ 73 / 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: [ 74 / 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: [ 75 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 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: [ 77 / 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: [ 78 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 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: [ 80 / 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: [ 81 / 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: [ 82 / 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: [ 83 / 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: [ 84 / 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: [ 85 / 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: [ 86 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 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: [ 88 / 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: [ 89 / 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: [ 90 / 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: [ 91 / 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: [ 92 / 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: [ 93 / 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: [ 94 / 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: [ 95 / 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: [ 96 / 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: [ 97 / 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: [ 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)))) * * * * [misc]progress: [ 129 / 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: [ 130 / 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: [ 131 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 132 / 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: [ 133 / 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: [ 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: [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 3971 additional inputs, on iter 1 have 4029 / 8000 * * * * [misc]points: Computing exacts on every 248 of 3971 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 124 of 3971 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 3971 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 3971 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 3971 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 3971 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 3971 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 3971 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 1991 additional inputs, on iter 2 have 6009 / 8000 * * * * [misc]points: Computing exacts on every 124 of 1991 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 1991 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 1991 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 1991 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 1991 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 1991 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 1991 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 985 additional inputs, on iter 3 have 7015 / 8000 * * * * [misc]points: Computing exacts on every 61 of 985 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 30 of 985 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 985 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 985 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 985 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 985 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 263 additional inputs, on iter 5 have 7737 / 8000 * * * * [misc]points: Computing exacts on every 16 of 263 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 263 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 263 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 263 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 263 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 119 additional inputs, on iter 6 have 7881 / 8000 * * * * [misc]points: Computing exacts on every 7 of 119 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 119 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 119 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 7 have 7939 / 8000 * * * * [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 29 additional inputs, on iter 8 have 7971 / 8000 * * * * [misc]points: Computing exacts for 29 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 13 additional inputs, on iter 9 have 7987 / 8000 * * * * [misc]points: Computing exacts for 13 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 7 additional inputs, on iter 10 have 7993 / 8000 * * * * [misc]points: Computing exacts for 7 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 7996 / 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 * * * * [misc]points: Sampling 4 additional inputs, on iter 12 have 7997 / 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 * * * * [misc]points: Sampling 4 additional inputs, on iter 13 have 7998 / 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 8000 points with exact outputs