* [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: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 176 additional inputs, on iter 1 have 80 / 256 * * * * [misc]points: Computing exacts on every 11 of 176 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 5 of 176 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 176 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 176 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 122 additional inputs, on iter 2 have 134 / 256 * * * * [misc]points: Computing exacts on every 7 of 122 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 122 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 122 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 94 additional inputs, on iter 3 have 162 / 256 * * * * [misc]points: Computing exacts on every 5 of 94 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 94 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 94 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 67 additional inputs, on iter 4 have 189 / 256 * * * * [misc]points: Computing exacts on every 4 of 67 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 67 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 67 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 45 additional inputs, on iter 5 have 211 / 256 * * * * [misc]points: Computing exacts on every 2 of 45 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 45 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 40 additional inputs, on iter 6 have 216 / 256 * * * * [misc]points: Computing exacts on every 2 of 40 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 40 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 30 additional inputs, on iter 7 have 226 / 256 * * * * [misc]points: Computing exacts for 30 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 26 additional inputs, on iter 8 have 230 / 256 * * * * [misc]points: Computing exacts for 26 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 23 additional inputs, on iter 9 have 233 / 256 * * * * [misc]points: Computing exacts for 23 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 10 have 240 / 256 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 13 additional inputs, on iter 11 have 243 / 256 * * * * [misc]points: Computing exacts for 13 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 12 have 247 / 256 * * * * [misc]points: Computing exacts for 9 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 13 have 248 / 256 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 14 have 250 / 256 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 15 have 251 / 256 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 16 have 252 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 17 have 252 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 18 have 252 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 19 have 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 20 have 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [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 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (* (sqrt (+ x -1)) (sqrt x)) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 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 (sqrt -1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [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 (sqrt -1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [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 (* (sqrt -1) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -1) +nan.0) (* (/ 1/2 (sqrt -1)) 0)) into (- (* +nan.0 (sqrt -1))) * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt -1))) into (- (* +nan.0 (sqrt -1))) * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (+ (* (sqrt -1) +nan.0) (+ (* (/ 1/2 (sqrt -1)) +nan.0) (* (/ -1/8 (pow (sqrt -1) 3)) 0))) into (- (+ (* +nan.0 (sqrt -1)) (- (* +nan.0 (/ 1 (sqrt -1)))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (sqrt -1)) (- (* +nan.0 (/ 1 (sqrt -1)))))) into (- (+ (* +nan.0 (sqrt -1)) (- (* +nan.0 (/ 1 (sqrt -1)))))) * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (/ 1/2 (sqrt -1)) (/ -1/8 (pow (sqrt -1) 3)))))) (* 2 (sqrt -1))) into (/ 1/16 (pow (sqrt -1) 5)) * [misc]backup-simplify: Simplify (+ (* (sqrt -1) +nan.0) (+ (* (/ 1/2 (sqrt -1)) +nan.0) (+ (* (/ -1/8 (pow (sqrt -1) 3)) +nan.0) (* (/ 1/16 (pow (sqrt -1) 5)) 0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt -1) 3))) (- (+ (* +nan.0 (sqrt -1)) (- (* +nan.0 (/ 1 (sqrt -1)))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt -1) 3))) (- (+ (* +nan.0 (sqrt -1)) (- (* +nan.0 (/ 1 (sqrt -1)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt -1) 3))) (- (+ (* +nan.0 (sqrt -1)) (- (* +nan.0 (/ 1 (sqrt -1)))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt -1) 3))) (- (+ (* +nan.0 (sqrt -1)) (- (* +nan.0 (/ 1 (sqrt -1)))))))) (pow x 3)) (+ (* (- (+ (* +nan.0 (sqrt -1)) (- (* +nan.0 (/ 1 (sqrt -1)))))) (pow x 2)) (* (- (* +nan.0 (sqrt -1))) x))) into (- (+ (* +nan.0 (* (pow x 3) (sqrt -1))) (- (+ (* +nan.0 (/ (pow x 2) (sqrt -1))) (- (+ (* +nan.0 (/ (pow x 3) (sqrt -1))) (- (+ (* +nan.0 (* x (sqrt -1))) (- (+ (* +nan.0 (* (pow x 2) (sqrt -1))) (- (* +nan.0 (/ (pow x 3) (pow (sqrt -1) 3)))))))))))))) * [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 (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 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 (- (+ (* 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 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 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 (+ (* 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 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) * [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 (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 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 (- 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 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 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 (+ (* 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 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ x -1) x) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (- (* x x) x) * [misc]simplify: Simplified (2 1) to (λ (x) (pow (- (* x x) x) 1/2)) * * * * [misc]progress: [ 2 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ x -1)) (sqrt x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* (sqrt (+ -1 x)) (sqrt x)) * [misc]simplify: Simplified (2 1) to (λ (x) (pow (* (sqrt (+ -1 x)) (sqrt x)) 1)) * * * * [misc]progress: [ 3 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (+ x -1))) (log (sqrt x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (+ (log (sqrt x)) (log (sqrt (+ -1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (exp (+ (log (sqrt x)) (log (sqrt (+ -1 x)))))) * * * * [misc]progress: [ 5 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (+ x -1)) (sqrt (+ x -1))) (sqrt (+ x -1))) (* (* (sqrt x) (sqrt x)) (sqrt x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (384 enodes) * [exit]simplify: Simplified to (* (+ -1 x) (* (* x (sqrt x)) (sqrt (+ -1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (cbrt (* (+ -1 x) (* (* x (sqrt x)) (sqrt (+ -1 x)))))) * * * * [misc]progress: [ 8 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ x -1) x) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (- (* x x) x) * [misc]simplify: Simplified (2 1) to (λ (x) (sqrt (- (* x x) x))) * * * * [misc]progress: [ 11 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sqrt x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (+ x -1)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (cbrt (sqrt x)))) * * * * [misc]progress: [ 14 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sqrt x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (+ x -1)) (sqrt (sqrt x))) (sqrt (sqrt x)))) * * * * [misc]progress: [ 15 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt x) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (+ x -1)) 1) (sqrt x))) * * * * [misc]progress: [ 16 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (+ x -1))) (cbrt (sqrt (+ x -1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ -1 x))) (cbrt (sqrt (+ -1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (sqrt (+ -1 x))) (cbrt (sqrt (+ -1 x)))) (* (cbrt (sqrt (+ x -1))) (sqrt x)))) * * * * [misc]progress: [ 17 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ x -1)) (cbrt (+ x -1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ -1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (fabs (cbrt (+ -1 x))) (* (sqrt (cbrt (+ x -1))) (sqrt x)))) * * * * [misc]progress: [ 18 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ x -1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ -1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (sqrt (+ -1 x))) (* (sqrt (sqrt (+ x -1))) (sqrt x)))) * * * * [misc]progress: [ 19 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (* 1 (* (sqrt (+ x -1)) (sqrt x)))) * * * * [misc]progress: [ 20 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ x -1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ -1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (sqrt (+ -1 x))) (* (sqrt (sqrt (+ x -1))) (sqrt x)))) * * * * [misc]progress: [ 21 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (pow x 3) (pow -1 3))) (sqrt x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (+ (pow x 3) -1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (sqrt x) (sqrt (+ (pow x 3) -1))) (sqrt (+ (* x x) (- (* -1 -1) (* x -1)))))) * * * * [misc]progress: [ 23 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (* x x) (* -1 -1))) (sqrt x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (* (sqrt (- (* x x) 1)) (sqrt x)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (sqrt (- (* x x) 1)) (sqrt x)) (sqrt (- x -1)))) * * * * [misc]progress: [ 24 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (pow x 3) (sqrt -1))) (- (+ (* +nan.0 (/ (pow x 2) (sqrt -1))) (- (+ (* +nan.0 (/ (pow x 3) (sqrt -1))) (- (+ (* +nan.0 (* x (sqrt -1))) (- (+ (* +nan.0 (* (pow x 2) (sqrt -1))) (- (* +nan.0 (/ (pow x 3) (pow (sqrt -1) 3)))))))))))))) * [misc]simplify: Simplified (2) to (λ (x) +nan.0) * * * * [misc]progress: [ 26 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) * [misc]simplify: Simplified (2) to (λ (x) +nan.0) * * * * [misc]progress: [ 27 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) * [misc]simplify: Simplified (2) to (λ (x) +nan.0) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 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 (sqrt (+ x -1))) 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 (sqrt -1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt -1)) (* 2 (sqrt (sqrt -1)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [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 (sqrt (+ x -1))) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ x -1))) 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 (sqrt -1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt -1)) (* 2 (sqrt (sqrt -1)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [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 (* (sqrt (sqrt -1)) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (sqrt -1)) +nan.0) (* (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) 0)) into (- (* +nan.0 (sqrt (sqrt -1)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt (sqrt -1)))) into (- (* +nan.0 (sqrt (sqrt -1)))) * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ (- (/ -1/8 (pow (sqrt -1) 3)) (pow (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) 2) (+)) (* 2 (sqrt (sqrt -1)))) into (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))) * [misc]backup-simplify: Simplify (+ (* (sqrt (sqrt -1)) +nan.0) (+ (* (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) +nan.0) (* (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))) 0))) into (- (+ (* +nan.0 (sqrt (sqrt -1))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 3))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (sqrt (sqrt -1))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 3))))))) into (- (+ (* +nan.0 (sqrt (sqrt -1))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 3))))))) * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (/ 1/2 (sqrt -1)) (/ -1/8 (pow (sqrt -1) 3)))))) (* 2 (sqrt -1))) into (/ 1/16 (pow (sqrt -1) 5)) * [misc]backup-simplify: Simplify (/ (- (/ 1/16 (pow (sqrt -1) 5)) (+ (* 2 (* (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))))))) (* 2 (sqrt (sqrt -1)))) into (* 7/128 (sqrt (/ 1 (pow (sqrt -1) 11)))) * [misc]backup-simplify: Simplify (+ (* (sqrt (sqrt -1)) +nan.0) (+ (* (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) +nan.0) (+ (* (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))) +nan.0) (* (* 7/128 (sqrt (/ 1 (pow (sqrt -1) 11)))) 0)))) into (- (+ (* +nan.0 (sqrt (sqrt -1))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 7)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 3))))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (sqrt (sqrt -1))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 7)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 3))))))))) into (- (+ (* +nan.0 (sqrt (sqrt -1))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 7)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 3))))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (sqrt (sqrt -1))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 7)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 3))))))))) (pow x 3)) (+ (* (- (+ (* +nan.0 (sqrt (sqrt -1))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 3))))))) (pow x 2)) (* (- (* +nan.0 (sqrt (sqrt -1)))) x))) into (- (+ (* +nan.0 (* (pow x 3) (sqrt (/ 1 (pow (sqrt -1) 7))))) (- (+ (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt -1) 3))))) (- (+ (* +nan.0 (* x (sqrt (sqrt -1)))) (- (+ (* +nan.0 (* (pow x 3) (sqrt (/ 1 (pow (sqrt -1) 3))))) (- (+ (* +nan.0 (* (pow x 2) (sqrt (sqrt -1)))) (- (* +nan.0 (* (pow x 3) (sqrt (sqrt -1))))))))))))))) * [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 (sqrt (+ (/ 1 x) -1))) 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]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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +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 (sqrt (+ (/ 1 x) -1))) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (/ 1 x) -1))) 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]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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +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 (* (sqrt +nan.0) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) +nan.0) (* (/ +nan.0 (sqrt +nan.0)) 0)) into (- (* +nan.0 (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)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 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 (/ (- +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) +nan.0) (+ (* (/ +nan.0 (sqrt +nan.0)) +nan.0) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 0))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (/ (- +nan.0 (+ (* 2 (* (/ +nan.0 (sqrt +nan.0)) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))))))) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0)))) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) +nan.0) (+ (* (/ +nan.0 (sqrt +nan.0)) +nan.0) (+ (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) +nan.0) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0)))) (sqrt +nan.0))) 0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))))) (pow (/ 1 x) 2)) (+ (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) (/ 1 x)) (- (* +nan.0 (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow x 2))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ (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 (sqrt (+ (/ 1 (- x)) -1))) 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]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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +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 (sqrt (+ (/ 1 (- x)) -1))) (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (/ 1 (- x)) -1))) 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]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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +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 (* (sqrt +nan.0) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) +nan.0) (* (/ +nan.0 (sqrt +nan.0)) 0)) into (- (* +nan.0 (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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (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 (- 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 (/ (- +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) +nan.0) (+ (* (/ +nan.0 (sqrt +nan.0)) +nan.0) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 0))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +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 (+ (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (/ (- +nan.0 (+ (* 2 (* (/ +nan.0 (sqrt +nan.0)) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))))))) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0)))) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) +nan.0) (+ (* (/ +nan.0 (sqrt +nan.0)) +nan.0) (+ (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) +nan.0) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0)))) (sqrt +nan.0))) 0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))))) (pow (/ 1 (- x)) 2)) (+ (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) (/ 1 (- x))) (- (* +nan.0 (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow x 2))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ (sqrt +nan.0) x))))))))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (sqrt (sqrt (+ x -1))) (* (sqrt (sqrt (+ x -1))) (sqrt x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (+ x -1))) (* (sqrt (sqrt (+ x -1))) (sqrt x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ x -1))) 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 (sqrt -1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt -1)) (* 2 (sqrt (sqrt -1)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (+ x -1))) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ x -1))) 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 (sqrt -1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt -1)) (* 2 (sqrt (sqrt -1)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [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 (sqrt (+ x -1))) (* (sqrt (sqrt (+ x -1))) (sqrt x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ x -1))) 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 (sqrt -1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt -1)) (* 2 (sqrt (sqrt -1)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (+ x -1))) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ x -1))) 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 (sqrt -1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt -1)) (* 2 (sqrt (sqrt -1)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [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 (* (sqrt (sqrt -1)) 0) into 0 * [misc]backup-simplify: Simplify (* (sqrt (sqrt -1)) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (sqrt -1)) +nan.0) (* (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) 0)) into (- (* +nan.0 (sqrt (sqrt -1)))) * [misc]backup-simplify: Simplify (+ (* (sqrt (sqrt -1)) (- (* +nan.0 (sqrt (sqrt -1))))) (* (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) 0)) into (- (* +nan.0 (sqrt -1))) * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt -1))) into (- (* +nan.0 (sqrt -1))) * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ (- (/ -1/8 (pow (sqrt -1) 3)) (pow (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) 2) (+)) (* 2 (sqrt (sqrt -1)))) into (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))) * [misc]backup-simplify: Simplify (+ (* (sqrt (sqrt -1)) +nan.0) (+ (* (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) +nan.0) (* (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))) 0))) into (- (+ (* +nan.0 (sqrt (sqrt -1))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 3))))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ (- (/ -1/8 (pow (sqrt -1) 3)) (pow (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) 2) (+)) (* 2 (sqrt (sqrt -1)))) into (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))) * [misc]backup-simplify: Simplify (+ (* (sqrt (sqrt -1)) (- (+ (* +nan.0 (sqrt (sqrt -1))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 3)))))))) (+ (* (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) (- (* +nan.0 (sqrt (sqrt -1))))) (* (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))) 0))) into (- (+ (* +nan.0 (sqrt -1)) (- (* +nan.0 (/ 1 (sqrt -1)))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (sqrt -1)) (- (* +nan.0 (/ 1 (sqrt -1)))))) into (- (+ (* +nan.0 (sqrt -1)) (- (* +nan.0 (/ 1 (sqrt -1)))))) * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (/ 1/2 (sqrt -1)) (/ -1/8 (pow (sqrt -1) 3)))))) (* 2 (sqrt -1))) into (/ 1/16 (pow (sqrt -1) 5)) * [misc]backup-simplify: Simplify (/ (- (/ 1/16 (pow (sqrt -1) 5)) (+ (* 2 (* (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))))))) (* 2 (sqrt (sqrt -1)))) into (* 7/128 (sqrt (/ 1 (pow (sqrt -1) 11)))) * [misc]backup-simplify: Simplify (+ (* (sqrt (sqrt -1)) +nan.0) (+ (* (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) +nan.0) (+ (* (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))) +nan.0) (* (* 7/128 (sqrt (/ 1 (pow (sqrt -1) 11)))) 0)))) into (- (+ (* +nan.0 (sqrt (sqrt -1))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 7)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 3))))))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (/ 1/2 (sqrt -1)) (/ -1/8 (pow (sqrt -1) 3)))))) (* 2 (sqrt -1))) into (/ 1/16 (pow (sqrt -1) 5)) * [misc]backup-simplify: Simplify (/ (- (/ 1/16 (pow (sqrt -1) 5)) (+ (* 2 (* (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))))))) (* 2 (sqrt (sqrt -1)))) into (* 7/128 (sqrt (/ 1 (pow (sqrt -1) 11)))) * [misc]backup-simplify: Simplify (+ (* (sqrt (sqrt -1)) (- (+ (* +nan.0 (sqrt (sqrt -1))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 7)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 3)))))))))) (+ (* (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) (- (+ (* +nan.0 (sqrt (sqrt -1))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 3)))))))) (+ (* (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))) (- (* +nan.0 (sqrt (sqrt -1))))) (* (* 7/128 (sqrt (/ 1 (pow (sqrt -1) 11)))) 0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt -1) 3))) (- (+ (* +nan.0 (sqrt -1)) (- (* +nan.0 (/ 1 (sqrt -1)))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt -1) 3))) (- (+ (* +nan.0 (sqrt -1)) (- (* +nan.0 (/ 1 (sqrt -1)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt -1) 3))) (- (+ (* +nan.0 (sqrt -1)) (- (* +nan.0 (/ 1 (sqrt -1)))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt -1) 3))) (- (+ (* +nan.0 (sqrt -1)) (- (* +nan.0 (/ 1 (sqrt -1)))))))) (pow x 3)) (+ (* (- (+ (* +nan.0 (sqrt -1)) (- (* +nan.0 (/ 1 (sqrt -1)))))) (pow x 2)) (* (- (* +nan.0 (sqrt -1))) x))) into (- (+ (* +nan.0 (* (pow x 3) (sqrt -1))) (- (+ (* +nan.0 (/ (pow x 2) (sqrt -1))) (- (+ (* +nan.0 (/ (pow x 3) (sqrt -1))) (- (+ (* +nan.0 (* x (sqrt -1))) (- (+ (* +nan.0 (* (pow x 2) (sqrt -1))) (- (* +nan.0 (/ (pow x 3) (pow (sqrt -1) 3)))))))))))))) * [misc]approximate: Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 x) -1))) (* (sqrt (sqrt (+ (/ 1 x) -1))) (sqrt (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 x) -1))) (* (sqrt (sqrt (+ (/ 1 x) -1))) (sqrt (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (/ 1 x) -1))) 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]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 (/ +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 (sqrt (+ (/ 1 x) -1))) 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]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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +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 (sqrt (+ (/ 1 x) -1))) (* (sqrt (sqrt (+ (/ 1 x) -1))) (sqrt (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (/ 1 x) -1))) 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]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 (/ +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 (sqrt (+ (/ 1 x) -1))) 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]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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +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 (* (sqrt +nan.0) 0) into 0 * [misc]backup-simplify: Simplify (* (sqrt +nan.0) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) +nan.0) (* (/ +nan.0 (sqrt +nan.0)) 0)) into (- (* +nan.0 (sqrt +nan.0))) * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) (- (* +nan.0 (sqrt +nan.0)))) (* (/ +nan.0 (sqrt +nan.0)) 0)) into (- (* +nan.0 (pow (sqrt +nan.0) 2))) * [misc]backup-simplify: Simplify (- (* +nan.0 (pow (sqrt +nan.0) 2))) into (- (* +nan.0 (pow (sqrt +nan.0) 2))) * [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 (- (+ (* 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 (/ (- +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) +nan.0) (+ (* (/ +nan.0 (sqrt +nan.0)) +nan.0) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 0))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +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 (/ (- +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) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +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))) 0))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (/ (- +nan.0 (+ (* 2 (* (/ +nan.0 (sqrt +nan.0)) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))))))) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0)))) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) +nan.0) (+ (* (/ +nan.0 (sqrt +nan.0)) +nan.0) (+ (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) +nan.0) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0)))) (sqrt +nan.0))) 0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (/ (- +nan.0 (+ (* 2 (* (/ +nan.0 (sqrt +nan.0)) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))))))) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0)))) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) (+ (* (/ +nan.0 (sqrt +nan.0)) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))) (+ (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0)))) (sqrt +nan.0))) 0)))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))) (pow (/ 1 x) 2)) (+ (* (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) (/ 1 x)) (- (* +nan.0 (pow (sqrt +nan.0) 2))))) into (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) x)) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (* +nan.0 (/ 1 x))))))))))))) * [misc]approximate: Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 (- x)) -1))) (* (sqrt (sqrt (+ (/ 1 (- x)) -1))) (sqrt (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 (- x)) -1))) (* (sqrt (sqrt (+ (/ 1 (- x)) -1))) (sqrt (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (/ 1 (- x)) -1))) 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]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 (/ +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 (sqrt (+ (/ 1 (- x)) -1))) 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]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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +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 (sqrt (+ (/ 1 (- x)) -1))) (* (sqrt (sqrt (+ (/ 1 (- x)) -1))) (sqrt (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (/ 1 (- x)) -1))) 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]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 (/ +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 (sqrt (+ (/ 1 (- x)) -1))) 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]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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +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 (* (sqrt +nan.0) 0) into 0 * [misc]backup-simplify: Simplify (* (sqrt +nan.0) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) +nan.0) (* (/ +nan.0 (sqrt +nan.0)) 0)) into (- (* +nan.0 (sqrt +nan.0))) * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) (- (* +nan.0 (sqrt +nan.0)))) (* (/ +nan.0 (sqrt +nan.0)) 0)) into (- (* +nan.0 (pow (sqrt +nan.0) 2))) * [misc]backup-simplify: Simplify (- (* +nan.0 (pow (sqrt +nan.0) 2))) into (- (* +nan.0 (pow (sqrt +nan.0) 2))) * [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 (- 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 (/ (- +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) +nan.0) (+ (* (/ +nan.0 (sqrt +nan.0)) +nan.0) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 0))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +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 (/ (- +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) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +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))) 0))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (/ (- +nan.0 (+ (* 2 (* (/ +nan.0 (sqrt +nan.0)) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))))))) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0)))) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) +nan.0) (+ (* (/ +nan.0 (sqrt +nan.0)) +nan.0) (+ (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) +nan.0) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0)))) (sqrt +nan.0))) 0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (/ (- +nan.0 (+ (* 2 (* (/ +nan.0 (sqrt +nan.0)) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))))))) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0)))) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) (+ (* (/ +nan.0 (sqrt +nan.0)) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))) (+ (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0)))) (sqrt +nan.0))) 0)))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))) (pow (/ 1 (- x)) 2)) (+ (* (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) (/ 1 (- x))) (- (* +nan.0 (pow (sqrt +nan.0) 2))))) into (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) x)) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (* +nan.0 (/ 1 x))))))))))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (+ x -1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ x -1))) 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 (sqrt -1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt -1)) (* 2 (sqrt (sqrt -1)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ x -1))) 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 (sqrt -1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt -1)) (* 2 (sqrt (sqrt -1)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ (- (/ -1/8 (pow (sqrt -1) 3)) (pow (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) 2) (+)) (* 2 (sqrt (sqrt -1)))) into (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))) * [misc]backup-simplify: Simplify (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))) into (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))) * [misc]backup-simplify: Simplify (+ (* (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))) (pow x 2)) (+ (* (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) x) (sqrt (sqrt -1)))) into (- (+ (sqrt (sqrt -1)) (* 1/4 (* x (sqrt (/ 1 (pow (sqrt -1) 3)))))) (* 3/32 (* (pow x 2) (sqrt (/ 1 (pow (sqrt -1) 7)))))) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (+ (/ 1 x) -1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (/ 1 x) -1))) 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]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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (/ 1 x) -1))) 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]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 (/ +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 (/ (- +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 x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0))))))))) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (+ (/ 1 (- x)) -1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (/ 1 (- x)) -1))) 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]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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (/ 1 (- x)) -1))) 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]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 (/ +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 (/ (- +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 x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0))))))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (+ x -1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ x -1))) 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 (sqrt -1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt -1)) (* 2 (sqrt (sqrt -1)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ x -1))) 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 (sqrt -1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt -1)) (* 2 (sqrt (sqrt -1)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ (- (/ -1/8 (pow (sqrt -1) 3)) (pow (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) 2) (+)) (* 2 (sqrt (sqrt -1)))) into (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))) * [misc]backup-simplify: Simplify (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))) into (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))) * [misc]backup-simplify: Simplify (+ (* (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))) (pow x 2)) (+ (* (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) x) (sqrt (sqrt -1)))) into (- (+ (sqrt (sqrt -1)) (* 1/4 (* x (sqrt (/ 1 (pow (sqrt -1) 3)))))) (* 3/32 (* (pow x 2) (sqrt (/ 1 (pow (sqrt -1) 7)))))) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (+ (/ 1 x) -1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (/ 1 x) -1))) 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]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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (/ 1 x) -1))) 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]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 (/ +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 (/ (- +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 x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0))))))))) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (+ (/ 1 (- x)) -1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (/ 1 (- x)) -1))) 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]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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (/ 1 (- x)) -1))) 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]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 (/ +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 (/ (- +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 x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0))))))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ x -1)) x) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (sqrt (+ -1 x)) x) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (sqrt (+ x -1))) (pow (* (sqrt (+ -1 x)) x) 1/2))) * * * * [misc]progress: [ 2 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (+ x -1))) (sqrt x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ -1 x))) (sqrt x)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (sqrt (+ x -1))) (pow (* (sqrt (sqrt (+ -1 x))) (sqrt x)) 1))) * * * * [misc]progress: [ 3 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (sqrt (+ x -1)))) (log (sqrt x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (sqrt (+ -1 x)))) (log (sqrt x))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (sqrt (+ x -1))) (exp (+ (log (sqrt (sqrt (+ -1 x)))) (log (sqrt x)))))) * * * * [misc]progress: [ 5 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (sqrt (+ x -1))) (sqrt (sqrt (+ x -1)))) (sqrt (sqrt (+ x -1)))) (* (* (sqrt x) (sqrt x)) (sqrt x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ -1 x))) (* (* (sqrt x) x) (sqrt (+ -1 x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (sqrt (+ x -1))) (cbrt (* (sqrt (sqrt (+ -1 x))) (* (* (sqrt x) x) (sqrt (+ -1 x))))))) * * * * [misc]progress: [ 8 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ x -1)) x) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (sqrt (+ -1 x)) x) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (sqrt (+ x -1))) (sqrt (* (sqrt (+ -1 x)) x)))) * * * * [misc]progress: [ 11 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sqrt x)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* (sqrt (sqrt (+ x -1))) (* (* (sqrt (sqrt (+ x -1))) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (cbrt (sqrt x))))) * * * * [misc]progress: [ 14 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sqrt x)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* (sqrt (sqrt (+ x -1))) (* (* (sqrt (sqrt (+ x -1))) (sqrt (sqrt x))) (sqrt (sqrt x))))) * * * * [misc]progress: [ 15 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt x) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* (sqrt (sqrt (+ x -1))) (* (* (sqrt (sqrt (+ x -1))) 1) (sqrt x)))) * * * * [misc]progress: [ 16 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (sqrt (+ x -1)))) (cbrt (sqrt (sqrt (+ x -1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (sqrt (+ -1 x)))) (cbrt (sqrt (sqrt (+ -1 x))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (sqrt (+ x -1))) (* (* (cbrt (sqrt (sqrt (+ -1 x)))) (cbrt (sqrt (sqrt (+ -1 x))))) (* (cbrt (sqrt (sqrt (+ x -1)))) (sqrt x))))) * * * * [misc]progress: [ 17 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (sqrt (+ x -1))) (cbrt (sqrt (+ x -1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (fabs (cbrt (sqrt (+ -1 x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (sqrt (+ x -1))) (* (fabs (cbrt (sqrt (+ -1 x)))) (* (sqrt (cbrt (sqrt (+ x -1)))) (sqrt x))))) * * * * [misc]progress: [ 18 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (* (cbrt (+ x -1)) (cbrt (+ x -1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (fabs (cbrt (+ -1 x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (sqrt (+ x -1))) (* (sqrt (fabs (cbrt (+ -1 x)))) (* (sqrt (sqrt (cbrt (+ x -1)))) (sqrt x))))) * * * * [misc]progress: [ 19 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ x -1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ -1 x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (sqrt (+ x -1))) (* (sqrt (sqrt (sqrt (+ -1 x)))) (* (sqrt (sqrt (sqrt (+ x -1)))) (sqrt x))))) * * * * [misc]progress: [ 20 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (sqrt (+ x -1))) (* 1 (* (sqrt (sqrt (+ x -1))) (sqrt x))))) * * * * [misc]progress: [ 21 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ x -1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ -1 x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (sqrt (+ x -1))) (* (sqrt (sqrt (sqrt (+ -1 x)))) (* (sqrt (sqrt (sqrt (+ x -1)))) (sqrt x))))) * * * * [misc]progress: [ 22 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (sqrt (+ x -1))) (* 1 (* (sqrt (sqrt (+ x -1))) (sqrt x))))) * * * * [misc]progress: [ 23 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ x -1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ -1 x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (sqrt (+ x -1))) (* (sqrt (sqrt (sqrt (+ -1 x)))) (* (sqrt (sqrt (sqrt (+ x -1)))) (sqrt x))))) * * * * [misc]progress: [ 24 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (+ (pow x 3) (pow -1 3)))) (sqrt x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (pow x 3) -1))) (sqrt x)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (sqrt (+ x -1))) (/ (* (sqrt (sqrt (+ (pow x 3) -1))) (sqrt x)) (sqrt (sqrt (+ (* x x) (- (* -1 -1) (* x -1)))))))) * * * * [misc]progress: [ 26 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (- (* x x) (* -1 -1)))) (sqrt x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (sqrt (+ (* x x) -1)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (sqrt (+ x -1))) (/ (* (sqrt x) (sqrt (sqrt (+ (* x x) -1)))) (sqrt (sqrt (- x -1)))))) * * * * [misc]progress: [ 27 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ x -1)) (* (sqrt (+ x -1)) x)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (- (* x x) x) * [misc]simplify: Simplified (2 1) to (λ (x) (pow (- (* x x) x) 1/2)) * * * * [misc]progress: [ 29 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (+ x -1))) (* (sqrt (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) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (* (sqrt (+ -1 x)) (sqrt x)) * [misc]simplify: Simplified (2 1) to (λ (x) (pow (* (sqrt (+ -1 x)) (sqrt x)) 1)) * * * * [misc]progress: [ 30 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (+ x -1))) (* (sqrt (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) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (* (sqrt (+ -1 x)) (sqrt x)) * [misc]simplify: Simplified (2 1) to (λ (x) (pow (* (sqrt (+ -1 x)) (sqrt x)) 1)) * * * * [misc]progress: [ 31 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (sqrt (+ x -1)))) (+ (log (sqrt (sqrt (+ x -1)))) (log (sqrt x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (sqrt (+ -1 x)))) (+ (log (sqrt (sqrt (+ -1 x)))) (log (sqrt x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (exp (+ (log (sqrt (sqrt (+ -1 x)))) (+ (log (sqrt (sqrt (+ -1 x)))) (log (sqrt x)))))) * * * * [misc]progress: [ 33 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (sqrt (+ x -1)))) (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 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (+ (+ (log (sqrt (sqrt (+ -1 x)))) (log (sqrt (sqrt (+ -1 x))))) (log (sqrt x))) * [misc]simplify: Simplified (2 1) to (λ (x) (exp (+ (+ (log (sqrt (sqrt (+ -1 x)))) (log (sqrt (sqrt (+ -1 x))))) (log (sqrt x))))) * * * * [misc]progress: [ 34 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (sqrt (+ x -1))) (sqrt (sqrt (+ x -1)))) (sqrt (sqrt (+ x -1)))) (* (* (* (sqrt (sqrt (+ x -1))) (sqrt (sqrt (+ x -1)))) (sqrt (sqrt (+ x -1)))) (* (* (sqrt x) (sqrt x)) (sqrt x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * * [misc]simplify: iters left: 2 (473 enodes) * [exit]simplify: Simplified to (* (* (+ -1 x) (sqrt (+ -1 x))) (* (sqrt x) x)) * [misc]simplify: Simplified (2 1) to (λ (x) (cbrt (* (* (+ -1 x) (sqrt (+ -1 x))) (* (sqrt x) x)))) * * * * [misc]progress: [ 37 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (sqrt (+ x -1))) (sqrt (sqrt (+ x -1)))) (sqrt (sqrt (+ x -1)))) (* (* (* (sqrt (sqrt (+ x -1))) (sqrt x)) (* (sqrt (sqrt (+ x -1))) (sqrt x))) (* (sqrt (sqrt (+ x -1))) (sqrt x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (216 enodes) * * [misc]simplify: iters left: 2 (434 enodes) * [exit]simplify: Simplified to (* (+ -1 x) (* (sqrt (+ -1 x)) (* (sqrt x) x))) * [misc]simplify: Simplified (2 1) to (λ (x) (cbrt (* (+ -1 x) (* (sqrt (+ -1 x)) (* (sqrt x) x))))) * * * * [misc]progress: [ 38 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ x -1)) (* (sqrt (+ x -1)) x)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (- (* x x) x) * [misc]simplify: Simplified (2 1) to (λ (x) (sqrt (- (* x x) x))) * * * * [misc]progress: [ 41 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (+ (pow x 3) (pow -1 3)))) (* (sqrt (sqrt (+ (pow x 3) (pow -1 3)))) (sqrt x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (+ (pow x 3) -1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (sqrt x) (sqrt (+ (pow x 3) -1))) (* (sqrt (sqrt (+ (* x x) (- (* -1 -1) (* x -1))))) (sqrt (sqrt (+ (* x x) (- (* -1 -1) (* x -1)))))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (+ (* x x) (- (* -1 -1) (* x -1))))) (sqrt (sqrt (+ (* x x) (- (* -1 -1) (* x -1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (sqrt (- (* x x) (- -1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (* (sqrt x) (sqrt (+ (pow x 3) -1))) (sqrt (- (* x x) (- -1 x))))) * * * * [misc]progress: [ 43 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (+ (pow x 3) (pow -1 3)))) (* (sqrt (sqrt (- (* x x) (* -1 -1)))) (sqrt x))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (147 enodes) * [exit]simplify: Simplified to (* (* (sqrt x) (sqrt (sqrt (- (* x x) 1)))) (sqrt (sqrt (+ (pow x 3) -1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (* (sqrt x) (sqrt (sqrt (- (* x x) 1)))) (sqrt (sqrt (+ (pow x 3) -1)))) (* (sqrt (sqrt (+ (* x x) (- (* -1 -1) (* x -1))))) (sqrt (sqrt (- x -1)))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (+ (* x x) (- (* -1 -1) (* x -1))))) (sqrt (sqrt (- x -1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ (+ 1 x) (* x x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (* (* (sqrt x) (sqrt (sqrt (- (* x x) 1)))) (sqrt (sqrt (+ (pow x 3) -1)))) (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ (+ 1 x) (* x x))))))) * * * * [misc]progress: [ 44 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (- (* x x) (* -1 -1)))) (* (sqrt (sqrt (+ (pow x 3) (pow -1 3)))) (sqrt x))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (* (* (sqrt x) (sqrt (sqrt (+ (pow x 3) -1)))) (sqrt (sqrt (+ (* x x) -1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (* (sqrt x) (sqrt (sqrt (+ (pow x 3) -1)))) (sqrt (sqrt (+ (* x x) -1)))) (* (sqrt (sqrt (- x -1))) (sqrt (sqrt (+ (* x x) (- (* -1 -1) (* x -1)))))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (- x -1))) (sqrt (sqrt (+ (* x x) (- (* -1 -1) (* x -1)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- (* x x) (- -1 x)))) (sqrt (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (* (* (sqrt x) (sqrt (sqrt (+ (pow x 3) -1)))) (sqrt (sqrt (+ (* x x) -1)))) (* (sqrt (sqrt (- (* x x) (- -1 x)))) (sqrt (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 45 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (- (* x x) (* -1 -1)))) (* (sqrt (sqrt (- (* x x) (* -1 -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 (47 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (* (sqrt (- (* x x) 1)) (sqrt x)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (sqrt (- (* x x) 1)) (sqrt x)) (* (sqrt (sqrt (- x -1))) (sqrt (sqrt (- x -1)))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (- x -1))) (sqrt (sqrt (- x -1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (+ x 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (* (sqrt (- (* x x) 1)) (sqrt x)) (sqrt (+ x 1)))) * * * * [misc]progress: [ 46 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt x) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ x -1))) (sqrt (sqrt (+ x -1)))) (sqrt x))) * * * * [misc]progress: [ 48 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (sqrt (+ x -1)))) (cbrt (sqrt (sqrt (+ x -1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (sqrt (+ -1 x)))) (cbrt (sqrt (sqrt (+ -1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (sqrt (sqrt (+ -1 x)))) (cbrt (sqrt (sqrt (+ -1 x))))) (* (cbrt (sqrt (sqrt (+ x -1)))) (* (sqrt (sqrt (+ x -1))) (sqrt x))))) * * * * [misc]progress: [ 49 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (sqrt (+ x -1))) (cbrt (sqrt (+ x -1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (fabs (cbrt (sqrt (+ -1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (fabs (cbrt (sqrt (+ -1 x)))) (* (sqrt (cbrt (sqrt (+ x -1)))) (* (sqrt (sqrt (+ x -1))) (sqrt x))))) * * * * [misc]progress: [ 50 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (* (cbrt (+ x -1)) (cbrt (+ x -1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (fabs (cbrt (+ -1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (* (sqrt (sqrt (cbrt (+ x -1)))) (* (sqrt (sqrt (+ x -1))) (sqrt x))))) * * * * [misc]progress: [ 51 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ x -1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ -1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (sqrt (sqrt (+ -1 x)))) (* (sqrt (sqrt (sqrt (+ x -1)))) (* (sqrt (sqrt (+ x -1))) (sqrt x))))) * * * * [misc]progress: [ 52 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (* 1 (* (sqrt (sqrt (+ x -1))) (* (sqrt (sqrt (+ x -1))) (sqrt x))))) * * * * [misc]progress: [ 53 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ x -1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ -1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (sqrt (sqrt (+ -1 x)))) (* (sqrt (sqrt (sqrt (+ x -1)))) (* (sqrt (sqrt (+ x -1))) (sqrt x))))) * * * * [misc]progress: [ 54 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (* 1 (* (sqrt (sqrt (+ x -1))) (* (sqrt (sqrt (+ x -1))) (sqrt x))))) * * * * [misc]progress: [ 55 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ x -1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ -1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (sqrt (sqrt (+ -1 x)))) (* (sqrt (sqrt (sqrt (+ x -1)))) (* (sqrt (sqrt (+ x -1))) (sqrt x))))) * * * * [misc]progress: [ 56 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* x x) (- (* -1 -1) (* x -1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- (* x x) (- -1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (* (sqrt (sqrt (+ x -1))) (* (sqrt (sqrt (+ (pow x 3) (pow -1 3)))) (sqrt x))) (sqrt (sqrt (- (* x x) (- -1 x)))))) * * * * [misc]progress: [ 58 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- x -1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (* (sqrt (sqrt (+ x -1))) (* (sqrt (sqrt (- (* x x) (* -1 -1)))) (sqrt x))) (sqrt (sqrt (+ x 1))))) * * * * [misc]progress: [ 59 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (+ (pow x 3) (pow -1 3)))) (* (sqrt (sqrt (+ x -1))) (sqrt x))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (* (* (sqrt (sqrt (+ -1 x))) (sqrt x)) (sqrt (sqrt (+ (pow x 3) -1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (* (sqrt (sqrt (+ -1 x))) (sqrt x)) (sqrt (sqrt (+ (pow x 3) -1)))) (sqrt (sqrt (+ (* x x) (- (* -1 -1) (* x -1))))))) * * * * [misc]progress: [ 60 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (- (* x x) (* -1 -1)))) (* (sqrt (sqrt (+ x -1))) (sqrt x))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (* (* (sqrt (sqrt (+ x -1))) (sqrt x)) (sqrt (sqrt (- (* x x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (* (sqrt (sqrt (+ x -1))) (sqrt x)) (sqrt (sqrt (- (* x x) 1)))) (sqrt (sqrt (- x -1))))) * * * * [misc]progress: [ 61 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (sqrt (+ x -1))) (cbrt (sqrt (+ x -1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (fabs (cbrt (sqrt (+ -1 x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* (sqrt (sqrt (+ x -1))) (* (* (fabs (cbrt (sqrt (+ -1 x)))) (sqrt (cbrt (sqrt (+ x -1))))) (sqrt x)))) * * * * [misc]progress: [ 69 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (* (cbrt (+ x -1)) (cbrt (+ x -1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (fabs (cbrt (+ -1 x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* (sqrt (sqrt (+ x -1))) (* (* (sqrt (fabs (cbrt (+ -1 x)))) (sqrt (sqrt (cbrt (+ x -1))))) (sqrt x)))) * * * * [misc]progress: [ 70 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ x -1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ -1 x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* (sqrt (sqrt (+ x -1))) (* (* (sqrt (sqrt (sqrt (+ -1 x)))) (sqrt (sqrt (sqrt (+ x -1))))) (sqrt x)))) * * * * [misc]progress: [ 71 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* (sqrt (sqrt (+ x -1))) (* (* 1 (sqrt (sqrt (+ x -1)))) (sqrt x)))) * * * * [misc]progress: [ 72 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ x -1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ -1 x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* (sqrt (sqrt (+ x -1))) (* (* (sqrt (sqrt (sqrt (+ -1 x)))) (sqrt (sqrt (sqrt (+ x -1))))) (sqrt x)))) * * * * [misc]progress: [ 73 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* (sqrt (sqrt (+ x -1))) (* (* 1 (sqrt (sqrt (+ x -1)))) (sqrt x)))) * * * * [misc]progress: [ 74 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (pow x 3) (pow -1 3)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (pow x 3) -1))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* (sqrt (sqrt (+ x -1))) (* (/ (sqrt (sqrt (+ (pow x 3) -1))) (sqrt (sqrt (+ (* x x) (- (* -1 -1) (* x -1)))))) (sqrt x)))) * * * * [misc]progress: [ 75 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- (* x x) (* -1 -1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- (* x x) 1))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* (sqrt (sqrt (+ x -1))) (* (/ (sqrt (sqrt (- (* x x) 1))) (sqrt (sqrt (- x -1)))) (sqrt x)))) * * * * [misc]progress: [ 76 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ x -1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ -1 x))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* (sqrt (sqrt (+ x -1))) (* (fabs (sqrt (sqrt (+ -1 x)))) (sqrt x)))) * * * * [misc]progress: [ 78 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ x -1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ -1 x))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* (sqrt (sqrt (+ x -1))) (* (fabs (sqrt (sqrt (+ -1 x)))) (sqrt x)))) * * * * [misc]progress: [ 79 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (sqrt (+ x -1))) (cbrt (sqrt (+ x -1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (fabs (cbrt (sqrt (+ -1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (* (fabs (cbrt (sqrt (+ -1 x)))) (sqrt (cbrt (sqrt (+ x -1))))) (* (sqrt (sqrt (+ x -1))) (sqrt x)))) * * * * [misc]progress: [ 87 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (* (cbrt (+ x -1)) (cbrt (+ x -1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (fabs (cbrt (+ -1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (* (sqrt (fabs (cbrt (+ -1 x)))) (sqrt (sqrt (cbrt (+ x -1))))) (* (sqrt (sqrt (+ x -1))) (sqrt x)))) * * * * [misc]progress: [ 88 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ x -1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ -1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (* (sqrt (sqrt (sqrt (+ -1 x)))) (sqrt (sqrt (sqrt (+ x -1))))) (* (sqrt (sqrt (+ x -1))) (sqrt x)))) * * * * [misc]progress: [ 89 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (* 1 (sqrt (sqrt (+ x -1)))) (* (sqrt (sqrt (+ x -1))) (sqrt x)))) * * * * [misc]progress: [ 90 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ x -1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ -1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (* (sqrt (sqrt (sqrt (+ -1 x)))) (sqrt (sqrt (sqrt (+ x -1))))) (* (sqrt (sqrt (+ x -1))) (sqrt x)))) * * * * [misc]progress: [ 91 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (* 1 (sqrt (sqrt (+ x -1)))) (* (sqrt (sqrt (+ x -1))) (sqrt x)))) * * * * [misc]progress: [ 92 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (pow x 3) (pow -1 3)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (pow x 3) -1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (/ (sqrt (sqrt (+ (pow x 3) -1))) (sqrt (sqrt (+ (* x x) (- (* -1 -1) (* x -1)))))) (* (sqrt (sqrt (+ x -1))) (sqrt x)))) * * * * [misc]progress: [ 93 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- (* x x) (* -1 -1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- (* x x) 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (/ (sqrt (sqrt (- (* x x) 1))) (sqrt (sqrt (- x -1)))) (* (sqrt (sqrt (+ x -1))) (sqrt x)))) * * * * [misc]progress: [ 94 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 95 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ x -1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ -1 x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (fabs (sqrt (sqrt (+ -1 x)))) (* (sqrt (sqrt (+ x -1))) (sqrt x)))) * * * * [misc]progress: [ 96 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ x -1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ -1 x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (fabs (sqrt (sqrt (+ -1 x)))) (* (sqrt (sqrt (+ x -1))) (sqrt x)))) * * * * [misc]progress: [ 97 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 98 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (pow x 3) (sqrt (/ 1 (pow (sqrt -1) 7))))) (- (+ (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt -1) 3))))) (- (+ (* +nan.0 (* x (sqrt (sqrt -1)))) (- (+ (* +nan.0 (* (pow x 3) (sqrt (/ 1 (pow (sqrt -1) 3))))) (- (+ (* +nan.0 (* (pow x 2) (sqrt (sqrt -1)))) (- (* +nan.0 (* (pow x 3) (sqrt (sqrt -1))))))))))))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (sqrt (+ x -1))) +nan.0)) * * * * [misc]progress: [ 99 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow x 2))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ (sqrt +nan.0) x))))))))))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (sqrt (+ x -1))) +nan.0)) * * * * [misc]progress: [ 100 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow x 2))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ (sqrt +nan.0) x))))))))))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (sqrt (+ x -1))) +nan.0)) * * * * [misc]progress: [ 101 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (pow x 3) (sqrt -1))) (- (+ (* +nan.0 (/ (pow x 2) (sqrt -1))) (- (+ (* +nan.0 (/ (pow x 3) (sqrt -1))) (- (+ (* +nan.0 (* x (sqrt -1))) (- (+ (* +nan.0 (* (pow x 2) (sqrt -1))) (- (* +nan.0 (/ (pow x 3) (pow (sqrt -1) 3)))))))))))))) * [misc]simplify: Simplified (2) to (λ (x) +nan.0) * * * * [misc]progress: [ 102 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) x)) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (* +nan.0 (/ 1 x))))))))))))) * [misc]simplify: Simplified (2) to (λ (x) +nan.0) * * * * [misc]progress: [ 103 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) x)) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (* +nan.0 (/ 1 x))))))))))))) * [misc]simplify: Simplified (2) to (λ (x) +nan.0) * * * * [misc]progress: [ 104 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (sqrt (sqrt -1)) (* 1/4 (* x (sqrt (/ 1 (pow (sqrt -1) 3)))))) (* 3/32 (* (pow x 2) (sqrt (/ 1 (pow (sqrt -1) 7)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (+ (* (sqrt (/ 1 (pow (sqrt -1) 7))) (* (* x -3/32) x)) (+ (sqrt (sqrt -1)) (* (sqrt (/ -1 (sqrt -1))) (* 1/4 x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (sqrt (+ x -1))) (* (+ (* (sqrt (/ 1 (pow (sqrt -1) 7))) (* (* x -3/32) x)) (+ (sqrt (sqrt -1)) (* (sqrt (/ -1 (sqrt -1))) (* 1/4 x)))) (sqrt x)))) * * * * [misc]progress: [ 105 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0))))))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (sqrt (+ x -1))) (* +nan.0 (sqrt x)))) * * * * [misc]progress: [ 106 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0))))))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (sqrt (+ x -1))) (* +nan.0 (sqrt x)))) * * * * [misc]progress: [ 107 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (sqrt (sqrt -1)) (* 1/4 (* x (sqrt (/ 1 (pow (sqrt -1) 3)))))) (* 3/32 (* (pow x 2) (sqrt (/ 1 (pow (sqrt -1) 7)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (+ (* (sqrt (/ 1 (pow (sqrt -1) 7))) (* (* x -3/32) x)) (+ (sqrt (sqrt -1)) (* (sqrt (/ -1 (sqrt -1))) (* 1/4 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (+ (* (sqrt (/ 1 (pow (sqrt -1) 7))) (* (* x -3/32) x)) (+ (sqrt (sqrt -1)) (* (sqrt (/ -1 (sqrt -1))) (* 1/4 x)))) (* (sqrt (sqrt (+ x -1))) (sqrt x)))) * * * * [misc]progress: [ 108 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0))))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* +nan.0 (* (sqrt (sqrt (+ x -1))) (sqrt x)))) * * * * [misc]progress: [ 109 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0))))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* +nan.0 (* (sqrt (sqrt (+ x -1))) (sqrt x)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [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 (sqrt (+ x -1))) 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 (sqrt -1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt -1)) (* 2 (sqrt (sqrt -1)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [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 (sqrt (+ x -1))) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ x -1))) 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 (sqrt -1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt -1)) (* 2 (sqrt (sqrt -1)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [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 (* (sqrt (sqrt -1)) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (sqrt -1)) +nan.0) (* (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) 0)) into (- (* +nan.0 (sqrt (sqrt -1)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt (sqrt -1)))) into (- (* +nan.0 (sqrt (sqrt -1)))) * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ (- (/ -1/8 (pow (sqrt -1) 3)) (pow (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) 2) (+)) (* 2 (sqrt (sqrt -1)))) into (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))) * [misc]backup-simplify: Simplify (+ (* (sqrt (sqrt -1)) +nan.0) (+ (* (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) +nan.0) (* (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))) 0))) into (- (+ (* +nan.0 (sqrt (sqrt -1))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 3))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (sqrt (sqrt -1))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 3))))))) into (- (+ (* +nan.0 (sqrt (sqrt -1))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 3))))))) * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (/ 1/2 (sqrt -1)) (/ -1/8 (pow (sqrt -1) 3)))))) (* 2 (sqrt -1))) into (/ 1/16 (pow (sqrt -1) 5)) * [misc]backup-simplify: Simplify (/ (- (/ 1/16 (pow (sqrt -1) 5)) (+ (* 2 (* (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))))))) (* 2 (sqrt (sqrt -1)))) into (* 7/128 (sqrt (/ 1 (pow (sqrt -1) 11)))) * [misc]backup-simplify: Simplify (+ (* (sqrt (sqrt -1)) +nan.0) (+ (* (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) +nan.0) (+ (* (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))) +nan.0) (* (* 7/128 (sqrt (/ 1 (pow (sqrt -1) 11)))) 0)))) into (- (+ (* +nan.0 (sqrt (sqrt -1))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 7)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 3))))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (sqrt (sqrt -1))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 7)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 3))))))))) into (- (+ (* +nan.0 (sqrt (sqrt -1))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 7)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 3))))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (sqrt (sqrt -1))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 7)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 3))))))))) (pow x 3)) (+ (* (- (+ (* +nan.0 (sqrt (sqrt -1))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 3))))))) (pow x 2)) (* (- (* +nan.0 (sqrt (sqrt -1)))) x))) into (- (+ (* +nan.0 (* (pow x 3) (sqrt (/ 1 (pow (sqrt -1) 7))))) (- (+ (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt -1) 3))))) (- (+ (* +nan.0 (* x (sqrt (sqrt -1)))) (- (+ (* +nan.0 (* (pow x 3) (sqrt (/ 1 (pow (sqrt -1) 3))))) (- (+ (* +nan.0 (* (pow x 2) (sqrt (sqrt -1)))) (- (* +nan.0 (* (pow x 3) (sqrt (sqrt -1))))))))))))))) * [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 (sqrt (+ (/ 1 x) -1))) 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]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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +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 (sqrt (+ (/ 1 x) -1))) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (/ 1 x) -1))) 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]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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +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 (* (sqrt +nan.0) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) +nan.0) (* (/ +nan.0 (sqrt +nan.0)) 0)) into (- (* +nan.0 (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)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 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 (/ (- +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) +nan.0) (+ (* (/ +nan.0 (sqrt +nan.0)) +nan.0) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 0))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (/ (- +nan.0 (+ (* 2 (* (/ +nan.0 (sqrt +nan.0)) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))))))) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0)))) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) +nan.0) (+ (* (/ +nan.0 (sqrt +nan.0)) +nan.0) (+ (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) +nan.0) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0)))) (sqrt +nan.0))) 0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))))) (pow (/ 1 x) 2)) (+ (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) (/ 1 x)) (- (* +nan.0 (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow x 2))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ (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 (sqrt (+ (/ 1 (- x)) -1))) 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]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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +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 (sqrt (+ (/ 1 (- x)) -1))) (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (/ 1 (- x)) -1))) 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]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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +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 (* (sqrt +nan.0) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) +nan.0) (* (/ +nan.0 (sqrt +nan.0)) 0)) into (- (* +nan.0 (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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (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 (- 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 (/ (- +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) +nan.0) (+ (* (/ +nan.0 (sqrt +nan.0)) +nan.0) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 0))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +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 (+ (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (/ (- +nan.0 (+ (* 2 (* (/ +nan.0 (sqrt +nan.0)) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))))))) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0)))) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) +nan.0) (+ (* (/ +nan.0 (sqrt +nan.0)) +nan.0) (+ (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) +nan.0) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0)))) (sqrt +nan.0))) 0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))))) (pow (/ 1 (- x)) 2)) (+ (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) (/ 1 (- x))) (- (* +nan.0 (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow x 2))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ (sqrt +nan.0) x))))))))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (* (sqrt (sqrt (+ x -1))) (sqrt x)) (sqrt (sqrt (+ x -1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (* (sqrt (sqrt (+ x -1))) (sqrt x)) (sqrt (sqrt (+ x -1)))) in x * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (+ x -1))) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ x -1))) 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 (sqrt -1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt -1)) (* 2 (sqrt (sqrt -1)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [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 (sqrt (+ x -1))) 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 (sqrt -1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt -1)) (* 2 (sqrt (sqrt -1)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [misc]taylor: Taking taylor expansion of (* (* (sqrt (sqrt (+ x -1))) (sqrt x)) (sqrt (sqrt (+ x -1)))) in x * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (+ x -1))) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ x -1))) 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 (sqrt -1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt -1)) (* 2 (sqrt (sqrt -1)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [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 (sqrt (+ x -1))) 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 (sqrt -1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt -1)) (* 2 (sqrt (sqrt -1)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (* (sqrt (sqrt -1)) 0) into 0 * [misc]backup-simplify: Simplify (* 0 (sqrt (sqrt -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (sqrt -1)) +nan.0) (* (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) 0)) into (- (* +nan.0 (sqrt (sqrt -1)))) * [misc]backup-simplify: Simplify (+ (* 0 (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3))))) (* (- (* +nan.0 (sqrt (sqrt -1)))) (sqrt (sqrt -1)))) into (- (* +nan.0 (sqrt -1))) * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt -1))) into (- (* +nan.0 (sqrt -1))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ (- (/ -1/8 (pow (sqrt -1) 3)) (pow (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) 2) (+)) (* 2 (sqrt (sqrt -1)))) into (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))) * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ (- (/ -1/8 (pow (sqrt -1) 3)) (pow (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) 2) (+)) (* 2 (sqrt (sqrt -1)))) into (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))) * [misc]backup-simplify: Simplify (+ (* (sqrt (sqrt -1)) +nan.0) (+ (* (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) +nan.0) (* (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))) 0))) into (- (+ (* +nan.0 (sqrt (sqrt -1))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 3))))))) * [misc]backup-simplify: Simplify (+ (* 0 (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7))))) (+ (* (- (* +nan.0 (sqrt (sqrt -1)))) (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3))))) (* (- (+ (* +nan.0 (sqrt (sqrt -1))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 3))))))) (sqrt (sqrt -1))))) into (- (+ (* +nan.0 (sqrt -1)) (- (* +nan.0 (/ 1 (sqrt -1)))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (sqrt -1)) (- (* +nan.0 (/ 1 (sqrt -1)))))) into (- (+ (* +nan.0 (sqrt -1)) (- (* +nan.0 (/ 1 (sqrt -1)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (/ 1/2 (sqrt -1)) (/ -1/8 (pow (sqrt -1) 3)))))) (* 2 (sqrt -1))) into (/ 1/16 (pow (sqrt -1) 5)) * [misc]backup-simplify: Simplify (/ (- (/ 1/16 (pow (sqrt -1) 5)) (+ (* 2 (* (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))))))) (* 2 (sqrt (sqrt -1)))) into (* 7/128 (sqrt (/ 1 (pow (sqrt -1) 11)))) * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (/ 1/2 (sqrt -1)) (/ -1/8 (pow (sqrt -1) 3)))))) (* 2 (sqrt -1))) into (/ 1/16 (pow (sqrt -1) 5)) * [misc]backup-simplify: Simplify (/ (- (/ 1/16 (pow (sqrt -1) 5)) (+ (* 2 (* (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))))))) (* 2 (sqrt (sqrt -1)))) into (* 7/128 (sqrt (/ 1 (pow (sqrt -1) 11)))) * [misc]backup-simplify: Simplify (+ (* (sqrt (sqrt -1)) +nan.0) (+ (* (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) +nan.0) (+ (* (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))) +nan.0) (* (* 7/128 (sqrt (/ 1 (pow (sqrt -1) 11)))) 0)))) into (- (+ (* +nan.0 (sqrt (sqrt -1))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 7)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 3))))))))) * [misc]backup-simplify: Simplify (+ (* 0 (* 7/128 (sqrt (/ 1 (pow (sqrt -1) 11))))) (+ (* (- (* +nan.0 (sqrt (sqrt -1)))) (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7))))) (+ (* (- (+ (* +nan.0 (sqrt (sqrt -1))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 3))))))) (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3))))) (* (- (+ (* +nan.0 (sqrt (sqrt -1))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 7)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 3))))))))) (sqrt (sqrt -1)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt -1) 3))) (- (+ (* +nan.0 (sqrt -1)) (- (* +nan.0 (/ 1 (sqrt -1)))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt -1) 3))) (- (+ (* +nan.0 (sqrt -1)) (- (* +nan.0 (/ 1 (sqrt -1)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt -1) 3))) (- (+ (* +nan.0 (sqrt -1)) (- (* +nan.0 (/ 1 (sqrt -1)))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt -1) 3))) (- (+ (* +nan.0 (sqrt -1)) (- (* +nan.0 (/ 1 (sqrt -1)))))))) (pow x 3)) (+ (* (- (+ (* +nan.0 (sqrt -1)) (- (* +nan.0 (/ 1 (sqrt -1)))))) (pow x 2)) (* (- (* +nan.0 (sqrt -1))) x))) into (- (+ (* +nan.0 (* (pow x 3) (sqrt -1))) (- (+ (* +nan.0 (/ (pow x 2) (sqrt -1))) (- (+ (* +nan.0 (/ (pow x 3) (sqrt -1))) (- (+ (* +nan.0 (* x (sqrt -1))) (- (+ (* +nan.0 (* (pow x 2) (sqrt -1))) (- (* +nan.0 (/ (pow x 3) (pow (sqrt -1) 3)))))))))))))) * [misc]approximate: Taking taylor expansion of (* (* (sqrt (sqrt (+ (/ 1 x) -1))) (sqrt (/ 1 x))) (sqrt (sqrt (+ (/ 1 x) -1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (* (sqrt (sqrt (+ (/ 1 x) -1))) (sqrt (/ 1 x))) (sqrt (sqrt (+ (/ 1 x) -1)))) 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 (sqrt (+ (/ 1 x) -1))) 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]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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +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 (sqrt (+ (/ 1 x) -1))) 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]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 (/ +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))) (sqrt (sqrt (+ (/ 1 x) -1)))) 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 (sqrt (+ (/ 1 x) -1))) 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]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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +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 (sqrt (+ (/ 1 x) -1))) 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]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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (* (sqrt +nan.0) 0) into 0 * [misc]backup-simplify: Simplify (* 0 (sqrt +nan.0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) +nan.0) (* (/ +nan.0 (sqrt +nan.0)) 0)) into (- (* +nan.0 (sqrt +nan.0))) * [misc]backup-simplify: Simplify (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* (- (* +nan.0 (sqrt +nan.0))) (sqrt +nan.0))) into (- (* +nan.0 (pow (sqrt +nan.0) 2))) * [misc]backup-simplify: Simplify (- (* +nan.0 (pow (sqrt +nan.0) 2))) into (- (* +nan.0 (pow (sqrt +nan.0) 2))) * [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 (/ (- +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)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 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 (/ (- +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) +nan.0) (+ (* (/ +nan.0 (sqrt +nan.0)) +nan.0) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 0))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) * [misc]backup-simplify: Simplify (+ (* 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))) (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) (sqrt +nan.0)))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (/ (- +nan.0 (+ (* 2 (* (/ +nan.0 (sqrt +nan.0)) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))))))) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0)))) (sqrt +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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (/ (- +nan.0 (+ (* 2 (* (/ +nan.0 (sqrt +nan.0)) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))))))) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0)))) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) +nan.0) (+ (* (/ +nan.0 (sqrt +nan.0)) +nan.0) (+ (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) +nan.0) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0)))) (sqrt +nan.0))) 0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))))) * [misc]backup-simplify: Simplify (+ (* 0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +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)))) (+ (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) (/ +nan.0 (sqrt +nan.0))) (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))))) (sqrt +nan.0))))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))) (pow (/ 1 x) 2)) (+ (* (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) (/ 1 x)) (- (* +nan.0 (pow (sqrt +nan.0) 2))))) into (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) x)) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (* +nan.0 (/ 1 x))))))))))))) * [misc]approximate: Taking taylor expansion of (* (* (sqrt (sqrt (+ (/ 1 (- x)) -1))) (sqrt (/ 1 (- x)))) (sqrt (sqrt (+ (/ 1 (- x)) -1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (* (sqrt (sqrt (+ (/ 1 (- x)) -1))) (sqrt (/ 1 (- x)))) (sqrt (sqrt (+ (/ 1 (- x)) -1)))) 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 (sqrt (+ (/ 1 (- x)) -1))) 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]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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +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 (sqrt (+ (/ 1 (- x)) -1))) 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]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 (/ +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)))) (sqrt (sqrt (+ (/ 1 (- x)) -1)))) 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 (sqrt (+ (/ 1 (- x)) -1))) 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]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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +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 (sqrt (+ (/ 1 (- x)) -1))) 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]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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (* (sqrt +nan.0) 0) into 0 * [misc]backup-simplify: Simplify (* 0 (sqrt +nan.0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) +nan.0) (* (/ +nan.0 (sqrt +nan.0)) 0)) into (- (* +nan.0 (sqrt +nan.0))) * [misc]backup-simplify: Simplify (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* (- (* +nan.0 (sqrt +nan.0))) (sqrt +nan.0))) into (- (* +nan.0 (pow (sqrt +nan.0) 2))) * [misc]backup-simplify: Simplify (- (* +nan.0 (pow (sqrt +nan.0) 2))) into (- (* +nan.0 (pow (sqrt +nan.0) 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 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 (/ (- +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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (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 (- 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 (/ (- +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) +nan.0) (+ (* (/ +nan.0 (sqrt +nan.0)) +nan.0) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 0))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) * [misc]backup-simplify: Simplify (+ (* 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))) (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) (sqrt +nan.0)))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (/ (- +nan.0 (+ (* 2 (* (/ +nan.0 (sqrt +nan.0)) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))))))) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +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 (+ (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (/ (- +nan.0 (+ (* 2 (* (/ +nan.0 (sqrt +nan.0)) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))))))) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0)))) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) +nan.0) (+ (* (/ +nan.0 (sqrt +nan.0)) +nan.0) (+ (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) +nan.0) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0)))) (sqrt +nan.0))) 0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))))) * [misc]backup-simplify: Simplify (+ (* 0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +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)))) (+ (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) (/ +nan.0 (sqrt +nan.0))) (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))))) (sqrt +nan.0))))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))) (pow (/ 1 (- x)) 2)) (+ (* (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) (/ 1 (- x))) (- (* +nan.0 (pow (sqrt +nan.0) 2))))) into (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) x)) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (* +nan.0 (/ 1 x))))))))))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (+ x -1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ x -1))) 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 (sqrt -1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt -1)) (* 2 (sqrt (sqrt -1)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ x -1))) 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 (sqrt -1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt -1)) (* 2 (sqrt (sqrt -1)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ (- (/ -1/8 (pow (sqrt -1) 3)) (pow (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) 2) (+)) (* 2 (sqrt (sqrt -1)))) into (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))) * [misc]backup-simplify: Simplify (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))) into (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))) * [misc]backup-simplify: Simplify (+ (* (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))) (pow x 2)) (+ (* (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) x) (sqrt (sqrt -1)))) into (- (+ (sqrt (sqrt -1)) (* 1/4 (* x (sqrt (/ 1 (pow (sqrt -1) 3)))))) (* 3/32 (* (pow x 2) (sqrt (/ 1 (pow (sqrt -1) 7)))))) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (+ (/ 1 x) -1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (/ 1 x) -1))) 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]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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (/ 1 x) -1))) 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]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 (/ +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 (/ (- +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 x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0))))))))) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (+ (/ 1 (- x)) -1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (/ 1 (- x)) -1))) 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]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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (/ 1 (- x)) -1))) 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]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 (/ +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 (/ (- +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 x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0))))))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (+ x -1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ x -1))) 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 (sqrt -1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt -1)) (* 2 (sqrt (sqrt -1)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ x -1))) 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 (sqrt -1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt -1)) (* 2 (sqrt (sqrt -1)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ (- (/ -1/8 (pow (sqrt -1) 3)) (pow (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) 2) (+)) (* 2 (sqrt (sqrt -1)))) into (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))) * [misc]backup-simplify: Simplify (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))) into (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))) * [misc]backup-simplify: Simplify (+ (* (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))) (pow x 2)) (+ (* (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) x) (sqrt (sqrt -1)))) into (- (+ (sqrt (sqrt -1)) (* 1/4 (* x (sqrt (/ 1 (pow (sqrt -1) 3)))))) (* 3/32 (* (pow x 2) (sqrt (/ 1 (pow (sqrt -1) 7)))))) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (+ (/ 1 x) -1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (/ 1 x) -1))) 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]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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (/ 1 x) -1))) 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]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 (/ +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 (/ (- +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 x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0))))))))) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (+ (/ 1 (- x)) -1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (/ 1 (- x)) -1))) 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]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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (/ 1 (- x)) -1))) 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]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 (/ +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 (/ (- +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 x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0))))))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ x -1)) x) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (sqrt (+ -1 x)) x) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (pow (* (sqrt (+ -1 x)) x) 1/2) (sqrt (sqrt (+ x -1))))) * * * * [misc]progress: [ 2 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (+ x -1))) (sqrt x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ -1 x))) (sqrt x)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (pow (* (sqrt (sqrt (+ -1 x))) (sqrt x)) 1) (sqrt (sqrt (+ x -1))))) * * * * [misc]progress: [ 3 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (sqrt (+ x -1)))) (log (sqrt x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (sqrt (+ -1 x)))) (log (sqrt x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (exp (+ (log (sqrt (sqrt (+ -1 x)))) (log (sqrt x)))) (sqrt (sqrt (+ x -1))))) * * * * [misc]progress: [ 5 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (sqrt (+ x -1))) (sqrt (sqrt (+ x -1)))) (sqrt (sqrt (+ x -1)))) (* (* (sqrt x) (sqrt x)) (sqrt x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ -1 x))) (* (* (sqrt x) x) (sqrt (+ -1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (cbrt (* (sqrt (sqrt (+ -1 x))) (* (* (sqrt x) x) (sqrt (+ -1 x))))) (sqrt (sqrt (+ x -1))))) * * * * [misc]progress: [ 8 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ x -1)) x) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (sqrt (+ -1 x)) x) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (sqrt (* (sqrt (+ -1 x)) x)) (sqrt (sqrt (+ x -1))))) * * * * [misc]progress: [ 11 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sqrt x)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (* (* (* (sqrt (sqrt (+ x -1))) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (cbrt (sqrt x))) (sqrt (sqrt (+ x -1))))) * * * * [misc]progress: [ 14 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sqrt x)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (* (* (* (sqrt (sqrt (+ x -1))) (sqrt (sqrt x))) (sqrt (sqrt x))) (sqrt (sqrt (+ x -1))))) * * * * [misc]progress: [ 15 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt x) * [misc]simplify: Simplified (2 1 2) to (λ (x) (* (* (* (sqrt (sqrt (+ x -1))) 1) (sqrt x)) (sqrt (sqrt (+ x -1))))) * * * * [misc]progress: [ 16 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (sqrt (+ x -1)))) (cbrt (sqrt (sqrt (+ x -1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (sqrt (+ -1 x)))) (cbrt (sqrt (sqrt (+ -1 x))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (* (* (cbrt (sqrt (sqrt (+ -1 x)))) (cbrt (sqrt (sqrt (+ -1 x))))) (* (cbrt (sqrt (sqrt (+ x -1)))) (sqrt x))) (sqrt (sqrt (+ x -1))))) * * * * [misc]progress: [ 17 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (sqrt (+ x -1))) (cbrt (sqrt (+ x -1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (fabs (cbrt (sqrt (+ -1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (* (fabs (cbrt (sqrt (+ -1 x)))) (* (sqrt (cbrt (sqrt (+ x -1)))) (sqrt x))) (sqrt (sqrt (+ x -1))))) * * * * [misc]progress: [ 18 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (* (cbrt (+ x -1)) (cbrt (+ x -1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (fabs (cbrt (+ -1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (* (sqrt (fabs (cbrt (+ -1 x)))) (* (sqrt (sqrt (cbrt (+ x -1)))) (sqrt x))) (sqrt (sqrt (+ x -1))))) * * * * [misc]progress: [ 19 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ x -1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ -1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (* (sqrt (sqrt (sqrt (+ -1 x)))) (* (sqrt (sqrt (sqrt (+ x -1)))) (sqrt x))) (sqrt (sqrt (+ x -1))))) * * * * [misc]progress: [ 20 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (* 1 (* (sqrt (sqrt (+ x -1))) (sqrt x))) (sqrt (sqrt (+ x -1))))) * * * * [misc]progress: [ 21 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ x -1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ -1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (* (sqrt (sqrt (sqrt (+ -1 x)))) (* (sqrt (sqrt (sqrt (+ x -1)))) (sqrt x))) (sqrt (sqrt (+ x -1))))) * * * * [misc]progress: [ 22 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (* 1 (* (sqrt (sqrt (+ x -1))) (sqrt x))) (sqrt (sqrt (+ x -1))))) * * * * [misc]progress: [ 23 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ x -1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ -1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (* (sqrt (sqrt (sqrt (+ -1 x)))) (* (sqrt (sqrt (sqrt (+ x -1)))) (sqrt x))) (sqrt (sqrt (+ x -1))))) * * * * [misc]progress: [ 24 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (+ (pow x 3) (pow -1 3)))) (sqrt x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (pow x 3) -1))) (sqrt x)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (/ (* (sqrt (sqrt (+ (pow x 3) -1))) (sqrt x)) (sqrt (sqrt (+ (* x x) (- (* -1 -1) (* x -1)))))) (sqrt (sqrt (+ x -1))))) * * * * [misc]progress: [ 26 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (- (* x x) (* -1 -1)))) (sqrt x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (sqrt (+ (* x x) -1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (/ (* (sqrt x) (sqrt (sqrt (+ (* x x) -1)))) (sqrt (sqrt (- x -1)))) (sqrt (sqrt (+ x -1))))) * * * * [misc]progress: [ 27 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (+ x -1)) x) (sqrt (+ x -1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (- (* x x) x) * [misc]simplify: Simplified (2 1) to (λ (x) (pow (- (* x x) x) 1/2)) * * * * [misc]progress: [ 29 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (sqrt (+ x -1))) (sqrt x)) (sqrt (sqrt (+ x -1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (+ -1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (pow (* (sqrt x) (sqrt (+ -1 x))) 1)) * * * * [misc]progress: [ 30 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (sqrt (+ x -1))) (sqrt x)) (sqrt (sqrt (+ x -1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (+ -1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (pow (* (sqrt x) (sqrt (+ -1 x))) 1)) * * * * [misc]progress: [ 31 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (sqrt (sqrt (+ x -1)))) (log (sqrt x))) (log (sqrt (sqrt (+ x -1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (sqrt (+ -1 x)))) (+ (log (sqrt (sqrt (+ -1 x)))) (log (sqrt x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (exp (+ (log (sqrt (sqrt (+ -1 x)))) (+ (log (sqrt (sqrt (+ -1 x)))) (log (sqrt x)))))) * * * * [misc]progress: [ 33 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (sqrt (sqrt (+ x -1))) (sqrt x))) (log (sqrt (sqrt (+ x -1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (+ (+ (log (sqrt (sqrt (+ -1 x)))) (log (sqrt (sqrt (+ -1 x))))) (log (sqrt x))) * [misc]simplify: Simplified (2 1) to (λ (x) (exp (+ (+ (log (sqrt (sqrt (+ -1 x)))) (log (sqrt (sqrt (+ -1 x))))) (log (sqrt x))))) * * * * [misc]progress: [ 34 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (sqrt (sqrt (+ x -1))) (sqrt (sqrt (+ x -1)))) (sqrt (sqrt (+ x -1)))) (* (* (sqrt x) (sqrt x)) (sqrt x))) (* (* (sqrt (sqrt (+ x -1))) (sqrt (sqrt (+ x -1)))) (sqrt (sqrt (+ x -1))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * [exit]simplify: Simplified to (* (* (sqrt (+ -1 x)) x) (* (sqrt x) (+ -1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (cbrt (* (* (sqrt (+ -1 x)) x) (* (sqrt x) (+ -1 x))))) * * * * [misc]progress: [ 37 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (sqrt (sqrt (+ x -1))) (sqrt x)) (* (sqrt (sqrt (+ x -1))) (sqrt x))) (* (sqrt (sqrt (+ x -1))) (sqrt x))) (* (* (sqrt (sqrt (+ x -1))) (sqrt (sqrt (+ x -1)))) (sqrt (sqrt (+ x -1))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (322 enodes) * * [misc]simplify: iters left: 1 (483 enodes) * [exit]simplify: Simplified to (* (* x (+ -1 x)) (* (sqrt (+ -1 x)) (sqrt x))) * [misc]simplify: Simplified (2 1) to (λ (x) (cbrt (* (* x (+ -1 x)) (* (sqrt (+ -1 x)) (sqrt x))))) * * * * [misc]progress: [ 38 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (+ x -1)) x) (sqrt (+ x -1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (- (* x x) x) * [misc]simplify: Simplified (2 1) to (λ (x) (sqrt (- (* x x) x))) * * * * [misc]progress: [ 41 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (sqrt (+ (pow x 3) (pow -1 3)))) (sqrt x)) (sqrt (sqrt (+ (pow x 3) (pow -1 3))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (+ (pow x 3) -1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (sqrt x) (sqrt (+ (pow x 3) -1))) (* (sqrt (sqrt (+ (* x x) (- (* -1 -1) (* x -1))))) (sqrt (sqrt (+ (* x x) (- (* -1 -1) (* x -1)))))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (+ (* x x) (- (* -1 -1) (* x -1))))) (sqrt (sqrt (+ (* x x) (- (* -1 -1) (* x -1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (sqrt (- (* x x) (- -1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (* (sqrt x) (sqrt (+ (pow x 3) -1))) (sqrt (- (* x x) (- -1 x))))) * * * * [misc]progress: [ 43 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (sqrt (+ (pow x 3) (pow -1 3)))) (sqrt x)) (sqrt (sqrt (- (* x x) (* -1 -1))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (147 enodes) * [exit]simplify: Simplified to (* (* (sqrt (sqrt (+ (* x x) -1))) (sqrt (sqrt (+ (pow x 3) -1)))) (sqrt x)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (* (sqrt (sqrt (+ (* x x) -1))) (sqrt (sqrt (+ (pow x 3) -1)))) (sqrt x)) (* (sqrt (sqrt (+ (* x x) (- (* -1 -1) (* x -1))))) (sqrt (sqrt (- x -1)))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (+ (* x x) (- (* -1 -1) (* x -1))))) (sqrt (sqrt (- x -1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ (+ 1 x) (* x x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (* (* (sqrt (sqrt (+ (* x x) -1))) (sqrt (sqrt (+ (pow x 3) -1)))) (sqrt x)) (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ (+ 1 x) (* x x))))))) * * * * [misc]progress: [ 44 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (sqrt (- (* x x) (* -1 -1)))) (sqrt x)) (sqrt (sqrt (+ (pow x 3) (pow -1 3))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (* (* (sqrt (sqrt (+ -1 (pow x 3)))) (sqrt (sqrt (+ (* x x) -1)))) (sqrt x)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (* (sqrt (sqrt (+ -1 (pow x 3)))) (sqrt (sqrt (+ (* x x) -1)))) (sqrt x)) (* (sqrt (sqrt (- x -1))) (sqrt (sqrt (+ (* x x) (- (* -1 -1) (* x -1)))))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (- x -1))) (sqrt (sqrt (+ (* x x) (- (* -1 -1) (* x -1)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- (* x x) (- -1 x)))) (sqrt (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (* (* (sqrt (sqrt (+ -1 (pow x 3)))) (sqrt (sqrt (+ (* x x) -1)))) (sqrt x)) (* (sqrt (sqrt (- (* x x) (- -1 x)))) (sqrt (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 45 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (sqrt (- (* x x) (* -1 -1)))) (sqrt x)) (sqrt (sqrt (- (* x x) (* -1 -1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* x x) -1)) (sqrt x)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (sqrt (+ (* x x) -1)) (sqrt x)) (* (sqrt (sqrt (- x -1))) (sqrt (sqrt (- x -1)))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (- x -1))) (sqrt (sqrt (- x -1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (+ x 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (* (sqrt (+ (* x x) -1)) (sqrt x)) (sqrt (+ x 1)))) * * * * [misc]progress: [ 46 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (+ x -1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ -1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (sqrt (sqrt (+ x -1))) (sqrt x)) (* (cbrt (sqrt (sqrt (+ x -1)))) (cbrt (sqrt (sqrt (+ x -1)))))) (cbrt (sqrt (sqrt (+ -1 x)))))) * * * * [misc]progress: [ 48 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (sqrt (+ x -1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (+ -1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (sqrt (sqrt (+ x -1))) (sqrt x)) (sqrt (* (cbrt (sqrt (+ x -1))) (cbrt (sqrt (+ x -1)))))) (sqrt (cbrt (sqrt (+ -1 x)))))) * * * * [misc]progress: [ 49 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (cbrt (+ x -1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (cbrt (+ -1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (sqrt (sqrt (+ x -1))) (sqrt x)) (sqrt (sqrt (* (cbrt (+ x -1)) (cbrt (+ x -1)))))) (sqrt (sqrt (cbrt (+ -1 x)))))) * * * * [misc]progress: [ 50 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ x -1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ -1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (sqrt (sqrt (+ x -1))) (sqrt x)) (sqrt (sqrt (sqrt (+ x -1))))) (sqrt (sqrt (sqrt (+ -1 x)))))) * * * * [misc]progress: [ 51 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ x -1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ -1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (sqrt (sqrt (+ x -1))) (sqrt x)) (sqrt (sqrt 1))) (sqrt (sqrt (+ -1 x))))) * * * * [misc]progress: [ 52 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ x -1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ -1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (sqrt (sqrt (+ x -1))) (sqrt x)) (sqrt (sqrt (sqrt (+ x -1))))) (sqrt (sqrt (sqrt (+ -1 x)))))) * * * * [misc]progress: [ 53 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ x -1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ -1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (sqrt (sqrt (+ x -1))) (sqrt x)) (sqrt 1)) (sqrt (sqrt (+ -1 x))))) * * * * [misc]progress: [ 54 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ x -1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ -1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (sqrt (sqrt (+ x -1))) (sqrt x)) (sqrt (sqrt (sqrt (+ x -1))))) (sqrt (sqrt (sqrt (+ -1 x)))))) * * * * [misc]progress: [ 55 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ x -1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ -1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (sqrt (sqrt (+ x -1))) (sqrt x)) 1) (sqrt (sqrt (+ -1 x))))) * * * * [misc]progress: [ 56 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ x -1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ -1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (sqrt (+ -1 x))) (* (sqrt x) (sqrt (sqrt (+ x -1)))))) * * * * [misc]progress: [ 57 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* x x) (- (* -1 -1) (* x -1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- (* x x) (- -1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (* (* (sqrt (sqrt (+ x -1))) (sqrt x)) (sqrt (sqrt (+ (pow x 3) (pow -1 3))))) (sqrt (sqrt (- (* x x) (- -1 x)))))) * * * * [misc]progress: [ 58 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- x -1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (* (* (sqrt (sqrt (+ x -1))) (sqrt x)) (sqrt (sqrt (- (* x x) (* -1 -1))))) (sqrt (sqrt (+ x 1))))) * * * * [misc]progress: [ 59 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (sqrt (+ (pow x 3) (pow -1 3)))) (sqrt x)) (sqrt (sqrt (+ x -1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (* (* (sqrt (sqrt (+ -1 x))) (sqrt x)) (sqrt (sqrt (+ (pow x 3) -1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (* (sqrt (sqrt (+ -1 x))) (sqrt x)) (sqrt (sqrt (+ (pow x 3) -1)))) (sqrt (sqrt (+ (* x x) (- (* -1 -1) (* x -1))))))) * * * * [misc]progress: [ 60 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (sqrt (- (* x x) (* -1 -1)))) (sqrt x)) (sqrt (sqrt (+ x -1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- (* x x) 1))) (* (sqrt (sqrt (+ x -1))) (sqrt x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (sqrt (sqrt (- (* x x) 1))) (* (sqrt (sqrt (+ x -1))) (sqrt x))) (sqrt (sqrt (- x -1))))) * * * * [misc]progress: [ 61 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (sqrt (+ x -1))) (cbrt (sqrt (+ x -1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (fabs (cbrt (sqrt (+ -1 x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (* (sqrt (sqrt (+ x -1))) (sqrt x)) (* (fabs (cbrt (sqrt (+ -1 x)))) (sqrt (cbrt (sqrt (+ x -1))))))) * * * * [misc]progress: [ 69 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (* (cbrt (+ x -1)) (cbrt (+ x -1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (fabs (cbrt (+ -1 x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (* (sqrt (sqrt (+ x -1))) (sqrt x)) (* (sqrt (fabs (cbrt (+ -1 x)))) (sqrt (sqrt (cbrt (+ x -1))))))) * * * * [misc]progress: [ 70 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ x -1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ -1 x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (* (sqrt (sqrt (+ x -1))) (sqrt x)) (* (sqrt (sqrt (sqrt (+ -1 x)))) (sqrt (sqrt (sqrt (+ x -1))))))) * * * * [misc]progress: [ 71 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (* (sqrt (sqrt (+ x -1))) (sqrt x)) (* 1 (sqrt (sqrt (+ x -1)))))) * * * * [misc]progress: [ 72 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ x -1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ -1 x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (* (sqrt (sqrt (+ x -1))) (sqrt x)) (* (sqrt (sqrt (sqrt (+ -1 x)))) (sqrt (sqrt (sqrt (+ x -1))))))) * * * * [misc]progress: [ 73 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (* (sqrt (sqrt (+ x -1))) (sqrt x)) (* 1 (sqrt (sqrt (+ x -1)))))) * * * * [misc]progress: [ 74 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (pow x 3) (pow -1 3)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (pow x 3) -1))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (* (sqrt (sqrt (+ x -1))) (sqrt x)) (/ (sqrt (sqrt (+ (pow x 3) -1))) (sqrt (sqrt (+ (* x x) (- (* -1 -1) (* x -1)))))))) * * * * [misc]progress: [ 75 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- (* x x) (* -1 -1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- (* x x) 1))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (* (sqrt (sqrt (+ x -1))) (sqrt x)) (/ (sqrt (sqrt (- (* x x) 1))) (sqrt (sqrt (- x -1)))))) * * * * [misc]progress: [ 76 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ x -1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ -1 x))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (* (sqrt (sqrt (+ x -1))) (sqrt x)) (fabs (sqrt (sqrt (+ -1 x)))))) * * * * [misc]progress: [ 78 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ x -1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ -1 x))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (* (sqrt (sqrt (+ x -1))) (sqrt x)) (fabs (sqrt (sqrt (+ -1 x)))))) * * * * [misc]progress: [ 79 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (sqrt (+ x -1))) (cbrt (sqrt (+ x -1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (fabs (cbrt (sqrt (+ -1 x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (* (* (* (fabs (cbrt (sqrt (+ -1 x)))) (sqrt (cbrt (sqrt (+ x -1))))) (sqrt x)) (sqrt (sqrt (+ x -1))))) * * * * [misc]progress: [ 87 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (* (cbrt (+ x -1)) (cbrt (+ x -1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (fabs (cbrt (+ -1 x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (* (* (* (sqrt (fabs (cbrt (+ -1 x)))) (sqrt (sqrt (cbrt (+ x -1))))) (sqrt x)) (sqrt (sqrt (+ x -1))))) * * * * [misc]progress: [ 88 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ x -1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ -1 x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (* (* (* (sqrt (sqrt (sqrt (+ -1 x)))) (sqrt (sqrt (sqrt (+ x -1))))) (sqrt x)) (sqrt (sqrt (+ x -1))))) * * * * [misc]progress: [ 89 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (* (* (* 1 (sqrt (sqrt (+ x -1)))) (sqrt x)) (sqrt (sqrt (+ x -1))))) * * * * [misc]progress: [ 90 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ x -1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ -1 x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (* (* (* (sqrt (sqrt (sqrt (+ -1 x)))) (sqrt (sqrt (sqrt (+ x -1))))) (sqrt x)) (sqrt (sqrt (+ x -1))))) * * * * [misc]progress: [ 91 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (* (* (* 1 (sqrt (sqrt (+ x -1)))) (sqrt x)) (sqrt (sqrt (+ x -1))))) * * * * [misc]progress: [ 92 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (pow x 3) (pow -1 3)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (pow x 3) -1))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ (pow x 3) -1))) (sqrt (sqrt (+ (* x x) (- (* -1 -1) (* x -1)))))) (sqrt x)) (sqrt (sqrt (+ x -1))))) * * * * [misc]progress: [ 93 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- (* x x) (* -1 -1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- (* x x) 1))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (* (* (/ (sqrt (sqrt (- (* x x) 1))) (sqrt (sqrt (- x -1)))) (sqrt x)) (sqrt (sqrt (+ x -1))))) * * * * [misc]progress: [ 94 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 95 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ x -1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ -1 x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (* (* (fabs (sqrt (sqrt (+ -1 x)))) (sqrt x)) (sqrt (sqrt (+ x -1))))) * * * * [misc]progress: [ 96 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ x -1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ -1 x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (* (* (fabs (sqrt (sqrt (+ -1 x)))) (sqrt x)) (sqrt (sqrt (+ x -1))))) * * * * [misc]progress: [ 97 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 98 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (pow x 3) (sqrt (/ 1 (pow (sqrt -1) 7))))) (- (+ (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt -1) 3))))) (- (+ (* +nan.0 (* x (sqrt (sqrt -1)))) (- (+ (* +nan.0 (* (pow x 3) (sqrt (/ 1 (pow (sqrt -1) 3))))) (- (+ (* +nan.0 (* (pow x 2) (sqrt (sqrt -1)))) (- (* +nan.0 (* (pow x 3) (sqrt (sqrt -1))))))))))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* +nan.0 (sqrt (sqrt (+ x -1))))) * * * * [misc]progress: [ 99 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow x 2))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ (sqrt +nan.0) x))))))))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* +nan.0 (sqrt (sqrt (+ x -1))))) * * * * [misc]progress: [ 100 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow x 2))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ (sqrt +nan.0) x))))))))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* +nan.0 (sqrt (sqrt (+ x -1))))) * * * * [misc]progress: [ 101 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (pow x 3) (sqrt -1))) (- (+ (* +nan.0 (/ (pow x 2) (sqrt -1))) (- (+ (* +nan.0 (/ (pow x 3) (sqrt -1))) (- (+ (* +nan.0 (* x (sqrt -1))) (- (+ (* +nan.0 (* (pow x 2) (sqrt -1))) (- (* +nan.0 (/ (pow x 3) (pow (sqrt -1) 3)))))))))))))) * [misc]simplify: Simplified (2) to (λ (x) +nan.0) * * * * [misc]progress: [ 102 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) x)) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (* +nan.0 (/ 1 x))))))))))))) * [misc]simplify: Simplified (2) to (λ (x) +nan.0) * * * * [misc]progress: [ 103 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) x)) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (* +nan.0 (/ 1 x))))))))))))) * [misc]simplify: Simplified (2) to (λ (x) +nan.0) * * * * [misc]progress: [ 104 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (sqrt (sqrt -1)) (* 1/4 (* x (sqrt (/ 1 (pow (sqrt -1) 3)))))) (* 3/32 (* (pow x 2) (sqrt (/ 1 (pow (sqrt -1) 7)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (+ (* (sqrt (/ 1 (pow (sqrt -1) 7))) (* (* x -3/32) x)) (+ (sqrt (sqrt -1)) (* (sqrt (/ -1 (sqrt -1))) (* 1/4 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ x -1))) (sqrt x)) (+ (* (sqrt (/ 1 (pow (sqrt -1) 7))) (* (* x -3/32) x)) (+ (sqrt (sqrt -1)) (* (sqrt (/ -1 (sqrt -1))) (* 1/4 x)))))) * * * * [misc]progress: [ 105 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0))))))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ x -1))) (sqrt x)) +nan.0)) * * * * [misc]progress: [ 106 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0))))))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ x -1))) (sqrt x)) +nan.0)) * * * * [misc]progress: [ 107 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (sqrt (sqrt -1)) (* 1/4 (* x (sqrt (/ 1 (pow (sqrt -1) 3)))))) (* 3/32 (* (pow x 2) (sqrt (/ 1 (pow (sqrt -1) 7)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (+ (* (sqrt (/ 1 (pow (sqrt -1) 7))) (* (* x -3/32) x)) (+ (sqrt (sqrt -1)) (* (sqrt (/ -1 (sqrt -1))) (* 1/4 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (* (+ (* (sqrt (/ 1 (pow (sqrt -1) 7))) (* (* x -3/32) x)) (+ (sqrt (sqrt -1)) (* (sqrt (/ -1 (sqrt -1))) (* 1/4 x)))) (sqrt x)) (sqrt (sqrt (+ x -1))))) * * * * [misc]progress: [ 108 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (* +nan.0 (sqrt x)) (sqrt (sqrt (+ x -1))))) * * * * [misc]progress: [ 109 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (* +nan.0 (sqrt x)) (sqrt (sqrt (+ x -1))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (+ -1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ -1 x)) in x * [misc]taylor: Rewrote expression to (pow (+ -1 x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ -1 x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ -1 x))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ -1 x)) in x * [misc]taylor: Taking taylor expansion of (+ -1 x) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking 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 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ -1 x)) in x * [misc]taylor: Rewrote expression to (pow (+ -1 x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ -1 x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ -1 x))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ -1 x)) in x * [misc]taylor: Taking taylor expansion of (+ -1 x) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking 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 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (pow -1 1/3) into (pow -1 1/3) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (log -1))) into -1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -1/3 1) 1)))) into (* -1/3 (pow -1 1/3)) * [misc]backup-simplify: Simplify (* -1/3 (pow -1 1/3)) into (* -1/3 (pow -1 1/3)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (log -1)))) into -1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into (* -1/9 (pow -1 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow -1 1/3)) into (* -1/9 (pow -1 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow -1 1/3)) (pow x 2)) (+ (* (* -1/3 (pow -1 1/3)) x) (pow -1 1/3))) into (- (pow -1 1/3) (+ (* 1/3 (* x (pow -1 1/3))) (* 1/9 (* (pow x 2) (pow -1 1/3))))) * [misc]approximate: Taking taylor expansion of (cbrt (+ -1 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ -1 (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (+ -1 (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ -1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ -1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ -1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ -1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ -1 (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (+ -1 (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ -1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ -1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ -1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ -1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [misc]backup-simplify: Simplify (pow x -1/3) into (pow x -1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log x)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (* -1/3 (pow (/ 1 x) 1/3)) into (* -1/3 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log x))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 x) 1/3)) into (* -1/9 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (/ 1 x)) 1/3)) (pow (/ 1 x) 2)) (+ (* (* -1/3 (pow (/ 1 (/ 1 x)) 1/3)) (/ 1 x)) (pow (/ 1 x) -1/3))) into (- (pow (/ 1 x) -1/3) (+ (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (* 1/9 (pow (/ 1 (pow x 5)) 1/3)))) * [misc]approximate: Taking taylor expansion of (cbrt (+ -1 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ -1 (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (+ -1 (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ -1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ -1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ -1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ -1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ -1 (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (+ -1 (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ -1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ -1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ -1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ -1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [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 (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow -1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log -1) (log x)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (* 1/3 (exp (* 1/3 (- (log -1) (log x))))) into (* 1/3 (exp (* 1/3 (- (log -1) (log 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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log -1) (log x))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) into (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (log (/ 1 (- x))))))) (pow (/ 1 (- x)) 2)) (+ (* (* 1/3 (exp (* 1/3 (- (log -1) (log (/ 1 (- x))))))) (/ 1 (- x))) (exp (* 1/3 (- (log -1) (log (/ 1 (- x)))))))) into (- (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x)) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (+ x -1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ x -1)) in x * [misc]taylor: Rewrote expression to (pow (+ x -1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ x -1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ x -1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ x -1)) in x * [misc]taylor: Rewrote expression to (pow (+ x -1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ x -1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ x -1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (pow -1 1/3) into (pow -1 1/3) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (log -1))) into -1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -1/3 1) 1)))) into (* -1/3 (pow -1 1/3)) * [misc]backup-simplify: Simplify (* -1/3 (pow -1 1/3)) into (* -1/3 (pow -1 1/3)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (log -1)))) into -1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into (* -1/9 (pow -1 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow -1 1/3)) into (* -1/9 (pow -1 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow -1 1/3)) (pow x 2)) (+ (* (* -1/3 (pow -1 1/3)) x) (pow -1 1/3))) into (- (pow -1 1/3) (+ (* 1/3 (* x (pow -1 1/3))) (* 1/9 (* (pow x 2) (pow -1 1/3))))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 x) -1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 x) -1)) in x * [misc]taylor: Rewrote expression to (pow (+ (/ 1 x) -1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 x) -1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 x) -1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 x) -1)) in x * [misc]taylor: Rewrote expression to (pow (+ (/ 1 x) -1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 x) -1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 x) -1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [misc]backup-simplify: Simplify (pow x -1/3) into (pow x -1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log x)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (* -1/3 (pow (/ 1 x) 1/3)) into (* -1/3 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log x))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 x) 1/3)) into (* -1/9 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (/ 1 x)) 1/3)) (pow (/ 1 x) 2)) (+ (* (* -1/3 (pow (/ 1 (/ 1 x)) 1/3)) (/ 1 x)) (pow (/ 1 x) -1/3))) into (- (pow (/ 1 x) -1/3) (+ (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (* 1/9 (pow (/ 1 (pow x 5)) 1/3)))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- x)) -1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- x)) -1)) in x * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- x)) -1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- x)) -1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- x)) -1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- x)) -1)) in x * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- x)) -1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- x)) -1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- x)) -1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [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 (* 1 -1) 1)) (pow -1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log -1) (log x)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (* 1/3 (exp (* 1/3 (- (log -1) (log x))))) into (* 1/3 (exp (* 1/3 (- (log -1) (log 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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log -1) (log x))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) into (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (log (/ 1 (- x))))))) (pow (/ 1 (- x)) 2)) (+ (* (* 1/3 (exp (* 1/3 (- (log -1) (log (/ 1 (- x))))))) (/ 1 (- x))) (exp (* 1/3 (- (log -1) (log (/ 1 (- x)))))))) into (- (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x)) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (sqrt (sqrt (cbrt (+ x -1)))) (* (sqrt (sqrt (+ x -1))) (sqrt x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (cbrt (+ x -1)))) (* (sqrt (sqrt (+ x -1))) (sqrt x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (cbrt (+ x -1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (cbrt (+ x -1))) in x * [misc]taylor: Taking taylor expansion of (cbrt (+ x -1)) in x * [misc]taylor: Rewrote expression to (pow (+ x -1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ x -1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ x -1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (sqrt (pow -1 1/3)) into (pow -1 1/6) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (log -1))) into -1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -1/3 1) 1)))) into (* -1/3 (pow -1 1/3)) * [misc]backup-simplify: Simplify (/ (* -1/3 (pow -1 1/3)) (* 2 (sqrt (pow -1 1/3)))) into (* -1/6 (pow -1 1/6)) * [misc]backup-simplify: Simplify (sqrt (pow -1 1/6)) into (pow -1 1/12) * [misc]backup-simplify: Simplify (/ (* -1/6 (pow -1 1/6)) (* 2 (sqrt (pow -1 1/6)))) into (* -1/12 (pow -1 1/12)) * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (+ x -1))) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ x -1))) 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 (sqrt -1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt -1)) (* 2 (sqrt (sqrt -1)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [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 (sqrt (cbrt (+ x -1)))) (* (sqrt (sqrt (+ x -1))) (sqrt x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (cbrt (+ x -1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (cbrt (+ x -1))) in x * [misc]taylor: Taking taylor expansion of (cbrt (+ x -1)) in x * [misc]taylor: Rewrote expression to (pow (+ x -1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ x -1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ x -1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (sqrt (pow -1 1/3)) into (pow -1 1/6) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (log -1))) into -1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -1/3 1) 1)))) into (* -1/3 (pow -1 1/3)) * [misc]backup-simplify: Simplify (/ (* -1/3 (pow -1 1/3)) (* 2 (sqrt (pow -1 1/3)))) into (* -1/6 (pow -1 1/6)) * [misc]backup-simplify: Simplify (sqrt (pow -1 1/6)) into (pow -1 1/12) * [misc]backup-simplify: Simplify (/ (* -1/6 (pow -1 1/6)) (* 2 (sqrt (pow -1 1/6)))) into (* -1/12 (pow -1 1/12)) * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (+ x -1))) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ x -1))) 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 (sqrt -1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt -1)) (* 2 (sqrt (sqrt -1)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [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 (* (sqrt (sqrt -1)) 0) into 0 * [misc]backup-simplify: Simplify (* (pow -1 1/12) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (sqrt -1)) +nan.0) (* (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) 0)) into (- (* +nan.0 (sqrt (sqrt -1)))) * [misc]backup-simplify: Simplify (+ (* (pow -1 1/12) (- (* +nan.0 (sqrt (sqrt -1))))) (* (* -1/12 (pow -1 1/12)) 0)) into (- (* +nan.0 (* (sqrt (sqrt -1)) (pow -1 1/12)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt (sqrt -1)) (pow -1 1/12)))) into (- (* +nan.0 (* (sqrt (sqrt -1)) (pow -1 1/12)))) * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ (- (/ -1/8 (pow (sqrt -1) 3)) (pow (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) 2) (+)) (* 2 (sqrt (sqrt -1)))) into (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))) * [misc]backup-simplify: Simplify (+ (* (sqrt (sqrt -1)) +nan.0) (+ (* (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) +nan.0) (* (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))) 0))) into (- (+ (* +nan.0 (sqrt (sqrt -1))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 3))))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (log -1)))) into -1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into (* -1/9 (pow -1 1/3)) * [misc]backup-simplify: Simplify (/ (- (* -1/9 (pow -1 1/3)) (pow (* -1/6 (pow -1 1/6)) 2) (+)) (* 2 (pow -1 1/6))) into (* -5/72 (pow -1 1/6)) * [misc]backup-simplify: Simplify (/ (- (* -5/72 (pow -1 1/6)) (pow (* -1/12 (pow -1 1/12)) 2) (+)) (* 2 (pow -1 1/12))) into (* -11/288 (pow -1 1/12)) * [misc]backup-simplify: Simplify (+ (* (pow -1 1/12) (- (+ (* +nan.0 (sqrt (sqrt -1))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 3)))))))) (+ (* (* -1/12 (pow -1 1/12)) (- (* +nan.0 (sqrt (sqrt -1))))) (* (* -11/288 (pow -1 1/12)) 0))) into (- (+ (* +nan.0 (* (sqrt (/ 1 (pow (sqrt -1) 3))) (pow -1 1/12))) (- (* +nan.0 (* (sqrt (sqrt -1)) (pow -1 1/12)))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt (/ 1 (pow (sqrt -1) 3))) (pow -1 1/12))) (- (* +nan.0 (* (sqrt (sqrt -1)) (pow -1 1/12)))))) into (- (+ (* +nan.0 (* (sqrt (/ 1 (pow (sqrt -1) 3))) (pow -1 1/12))) (- (* +nan.0 (* (sqrt (sqrt -1)) (pow -1 1/12)))))) * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (/ 1/2 (sqrt -1)) (/ -1/8 (pow (sqrt -1) 3)))))) (* 2 (sqrt -1))) into (/ 1/16 (pow (sqrt -1) 5)) * [misc]backup-simplify: Simplify (/ (- (/ 1/16 (pow (sqrt -1) 5)) (+ (* 2 (* (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))))))) (* 2 (sqrt (sqrt -1)))) into (* 7/128 (sqrt (/ 1 (pow (sqrt -1) 11)))) * [misc]backup-simplify: Simplify (+ (* (sqrt (sqrt -1)) +nan.0) (+ (* (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) +nan.0) (+ (* (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))) +nan.0) (* (* 7/128 (sqrt (/ 1 (pow (sqrt -1) 11)))) 0)))) into (- (+ (* +nan.0 (sqrt (sqrt -1))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 7)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 3))))))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/3) (+ (* 0 -1/2) (+ (* 0 -1) (* 0 (log -1))))) into -1/9 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -1/3 3) 6)) (* (/ (pow -1/3 1) 1) (/ (pow -1/6 1) 1)) (* (/ (pow -1/9 1) 1)))) into (* -5/81 (pow -1 1/3)) * [misc]backup-simplify: Simplify (/ (- (* -5/81 (pow -1 1/3)) (+ (* 2 (* (* -1/6 (pow -1 1/6)) (* -5/72 (pow -1 1/6)))))) (* 2 (pow -1 1/6))) into (* -55/1296 (pow -1 1/6)) * [misc]backup-simplify: Simplify (/ (- (* -55/1296 (pow -1 1/6)) (+ (* 2 (* (* -1/12 (pow -1 1/12)) (* -11/288 (pow -1 1/12)))))) (* 2 (pow -1 1/12))) into (* -253/10368 (pow -1 1/12)) * [misc]backup-simplify: Simplify (+ (* (pow -1 1/12) (- (+ (* +nan.0 (sqrt (sqrt -1))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 7)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 3)))))))))) (+ (* (* -1/12 (pow -1 1/12)) (- (+ (* +nan.0 (sqrt (sqrt -1))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 3)))))))) (+ (* (* -11/288 (pow -1 1/12)) (- (* +nan.0 (sqrt (sqrt -1))))) (* (* -253/10368 (pow -1 1/12)) 0)))) into (- (+ (* +nan.0 (* (sqrt (/ 1 (pow (sqrt -1) 7))) (pow -1 1/12))) (- (+ (* +nan.0 (* (sqrt (sqrt -1)) (pow -1 1/12))) (- (* +nan.0 (* (sqrt (/ 1 (pow (sqrt -1) 3))) (pow -1 1/12)))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt (/ 1 (pow (sqrt -1) 7))) (pow -1 1/12))) (- (+ (* +nan.0 (* (sqrt (sqrt -1)) (pow -1 1/12))) (- (* +nan.0 (* (sqrt (/ 1 (pow (sqrt -1) 3))) (pow -1 1/12)))))))) into (- (+ (* +nan.0 (* (sqrt (/ 1 (pow (sqrt -1) 7))) (pow -1 1/12))) (- (+ (* +nan.0 (* (sqrt (sqrt -1)) (pow -1 1/12))) (- (* +nan.0 (* (sqrt (/ 1 (pow (sqrt -1) 3))) (pow -1 1/12)))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (sqrt (/ 1 (pow (sqrt -1) 7))) (pow -1 1/12))) (- (+ (* +nan.0 (* (sqrt (sqrt -1)) (pow -1 1/12))) (- (* +nan.0 (* (sqrt (/ 1 (pow (sqrt -1) 3))) (pow -1 1/12)))))))) (pow x 3)) (+ (* (- (+ (* +nan.0 (* (sqrt (/ 1 (pow (sqrt -1) 3))) (pow -1 1/12))) (- (* +nan.0 (* (sqrt (sqrt -1)) (pow -1 1/12)))))) (pow x 2)) (* (- (* +nan.0 (* (sqrt (sqrt -1)) (pow -1 1/12)))) x))) into (- (+ (* +nan.0 (* (pow x 3) (* (sqrt (/ 1 (pow (sqrt -1) 7))) (pow -1 1/12)))) (- (+ (* +nan.0 (* (pow x 3) (* (sqrt (sqrt -1)) (pow -1 1/12)))) (- (+ (* +nan.0 (* (pow x 3) (* (sqrt (/ 1 (pow (sqrt -1) 3))) (pow -1 1/12)))) (- (+ (* +nan.0 (* (pow x 2) (* (sqrt (sqrt -1)) (pow -1 1/12)))) (- (+ (* +nan.0 (* (pow x 2) (* (sqrt (/ 1 (pow (sqrt -1) 3))) (pow -1 1/12)))) (- (* +nan.0 (* x (* (sqrt (sqrt -1)) (pow -1 1/12))))))))))))))) * [misc]approximate: Taking taylor expansion of (* (sqrt (sqrt (cbrt (+ (/ 1 x) -1)))) (* (sqrt (sqrt (+ (/ 1 x) -1))) (sqrt (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (cbrt (+ (/ 1 x) -1)))) (* (sqrt (sqrt (+ (/ 1 x) -1))) (sqrt (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (cbrt (+ (/ 1 x) -1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (cbrt (+ (/ 1 x) -1))) in x * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 x) -1)) in x * [misc]taylor: Rewrote expression to (pow (+ (/ 1 x) -1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 x) -1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 x) -1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [misc]backup-simplify: Simplify (sqrt (pow x -1/3)) into (pow (/ 1 x) 1/6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log x)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (/ (* -1/3 (pow (/ 1 x) 1/3)) (* 2 (sqrt (pow x -1/3)))) into (* -1/6 (pow (/ 1 x) 1/6)) * [misc]backup-simplify: Simplify (sqrt (pow (/ 1 x) 1/6)) into (pow (/ 1 x) 1/12) * [misc]backup-simplify: Simplify (/ (* -1/6 (pow (/ 1 x) 1/6)) (* 2 (sqrt (pow (/ 1 x) 1/6)))) into (* -1/12 (pow (/ 1 x) 1/12)) * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 x) -1))) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (/ 1 x) -1))) 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]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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +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 (sqrt (cbrt (+ (/ 1 x) -1)))) (* (sqrt (sqrt (+ (/ 1 x) -1))) (sqrt (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (cbrt (+ (/ 1 x) -1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (cbrt (+ (/ 1 x) -1))) in x * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 x) -1)) in x * [misc]taylor: Rewrote expression to (pow (+ (/ 1 x) -1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 x) -1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 x) -1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [misc]backup-simplify: Simplify (sqrt (pow x -1/3)) into (pow (/ 1 x) 1/6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log x)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (/ (* -1/3 (pow (/ 1 x) 1/3)) (* 2 (sqrt (pow x -1/3)))) into (* -1/6 (pow (/ 1 x) 1/6)) * [misc]backup-simplify: Simplify (sqrt (pow (/ 1 x) 1/6)) into (pow (/ 1 x) 1/12) * [misc]backup-simplify: Simplify (/ (* -1/6 (pow (/ 1 x) 1/6)) (* 2 (sqrt (pow (/ 1 x) 1/6)))) into (* -1/12 (pow (/ 1 x) 1/12)) * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 x) -1))) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (/ 1 x) -1))) 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]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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +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 (* (sqrt +nan.0) 0) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 x) 1/12) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) +nan.0) (* (/ +nan.0 (sqrt +nan.0)) 0)) into (- (* +nan.0 (sqrt +nan.0))) * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 x) 1/12) (- (* +nan.0 (sqrt +nan.0)))) (* (* -1/12 (pow (/ 1 x) 1/12)) 0)) into (- (* +nan.0 (* (pow (/ 1 x) 1/12) (sqrt +nan.0)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow (/ 1 x) 1/12) (sqrt +nan.0)))) into (- (* +nan.0 (* (pow (/ 1 x) 1/12) (sqrt +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 (- (+ (* 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 (/ (- +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) +nan.0) (+ (* (/ +nan.0 (sqrt +nan.0)) +nan.0) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 0))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +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 (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log x))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (/ (- (* -1/9 (pow (/ 1 x) 1/3)) (pow (* -1/6 (pow (/ 1 x) 1/6)) 2) (+)) (* 2 (pow (/ 1 x) 1/6))) into (* -5/72 (pow (/ 1 x) 1/6)) * [misc]backup-simplify: Simplify (/ (- (* -5/72 (pow (/ 1 x) 1/6)) (pow (* -1/12 (pow (/ 1 x) 1/12)) 2) (+)) (* 2 (pow (/ 1 x) 1/12))) into (* -11/288 (pow (/ 1 x) 1/12)) * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 x) 1/12) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))) (+ (* (* -1/12 (pow (/ 1 x) 1/12)) (- (* +nan.0 (sqrt +nan.0)))) (* (* -11/288 (pow (/ 1 x) 1/12)) 0))) into (- (+ (* +nan.0 (* (pow (/ 1 x) 1/12) (/ 1 (sqrt +nan.0)))) (- (* +nan.0 (* (pow (/ 1 x) 1/12) (sqrt +nan.0)))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (pow (/ 1 x) 1/12) (/ 1 (sqrt +nan.0)))) (- (* +nan.0 (* (pow (/ 1 x) 1/12) (sqrt +nan.0)))))) into (- (+ (* +nan.0 (* (pow (/ 1 x) 1/12) (/ 1 (sqrt +nan.0)))) (- (* +nan.0 (* (pow (/ 1 x) 1/12) (sqrt +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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (/ (- +nan.0 (+ (* 2 (* (/ +nan.0 (sqrt +nan.0)) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))))))) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0)))) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) +nan.0) (+ (* (/ +nan.0 (sqrt +nan.0)) +nan.0) (+ (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) +nan.0) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0)))) (sqrt +nan.0))) 0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/3) (+ (* 0 -1/2) (+ (* 0 -1) (* 0 (- (log x)))))) into (- 1/9) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow (- 1/3) 3) 6)) (* (/ (pow (- 1/3) 1) 1) (/ (pow (- 1/6) 1) 1)) (* (/ (pow (- 1/9) 1) 1)))) into (* -5/81 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (/ (- (* -5/81 (pow (/ 1 x) 1/3)) (+ (* 2 (* (* -1/6 (pow (/ 1 x) 1/6)) (* -5/72 (pow (/ 1 x) 1/6)))))) (* 2 (pow (/ 1 x) 1/6))) into (* -55/1296 (pow (/ 1 x) 1/6)) * [misc]backup-simplify: Simplify (/ (- (* -55/1296 (pow (/ 1 x) 1/6)) (+ (* 2 (* (* -1/12 (pow (/ 1 x) 1/12)) (* -11/288 (pow (/ 1 x) 1/12)))))) (* 2 (pow (/ 1 x) 1/12))) into (* -253/10368 (pow (/ 1 x) 1/12)) * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 x) 1/12) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) (+ (* (* -1/12 (pow (/ 1 x) 1/12)) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))) (+ (* (* -11/288 (pow (/ 1 x) 1/12)) (- (* +nan.0 (sqrt +nan.0)))) (* (* -253/10368 (pow (/ 1 x) 1/12)) 0)))) into (- (+ (* +nan.0 (* (pow (/ 1 x) 1/12) (/ 1 (sqrt +nan.0)))) (- (+ (* +nan.0 (* (pow (/ 1 x) 1/12) (/ 1 (pow (sqrt +nan.0) 3)))) (- (* +nan.0 (* (pow (/ 1 x) 1/12) (sqrt +nan.0)))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (pow (/ 1 x) 1/12) (/ 1 (sqrt +nan.0)))) (- (+ (* +nan.0 (* (pow (/ 1 x) 1/12) (/ 1 (pow (sqrt +nan.0) 3)))) (- (* +nan.0 (* (pow (/ 1 x) 1/12) (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (* (pow (/ 1 x) 1/12) (/ 1 (sqrt +nan.0)))) (- (+ (* +nan.0 (* (pow (/ 1 x) 1/12) (/ 1 (pow (sqrt +nan.0) 3)))) (- (* +nan.0 (* (pow (/ 1 x) 1/12) (sqrt +nan.0)))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (pow (/ 1 (/ 1 x)) 1/12) (/ 1 (sqrt +nan.0)))) (- (+ (* +nan.0 (* (pow (/ 1 (/ 1 x)) 1/12) (/ 1 (pow (sqrt +nan.0) 3)))) (- (* +nan.0 (* (pow (/ 1 (/ 1 x)) 1/12) (sqrt +nan.0)))))))) (pow (/ 1 x) 2)) (+ (* (- (+ (* +nan.0 (* (pow (/ 1 (/ 1 x)) 1/12) (/ 1 (sqrt +nan.0)))) (- (* +nan.0 (* (pow (/ 1 (/ 1 x)) 1/12) (sqrt +nan.0)))))) (/ 1 x)) (- (* +nan.0 (* (pow (/ 1 (/ 1 x)) 1/12) (sqrt +nan.0)))))) into (- (+ (* +nan.0 (* (pow (/ 1 (pow x 23)) 1/12) (sqrt +nan.0))) (- (+ (* +nan.0 (* (pow (/ 1 (pow x 11)) 1/12) (/ 1 (sqrt +nan.0)))) (- (+ (* +nan.0 (* (pow (/ 1 (pow x 23)) 1/12) (/ 1 (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (* (pow x 1/12) (sqrt +nan.0))) (- (+ (* +nan.0 (* (pow (/ 1 (pow x 23)) 1/12) (/ 1 (sqrt +nan.0)))) (- (* +nan.0 (* (pow (/ 1 (pow x 11)) 1/12) (sqrt +nan.0)))))))))))))) * [misc]approximate: Taking taylor expansion of (* (sqrt (sqrt (cbrt (+ (/ 1 (- x)) -1)))) (* (sqrt (sqrt (+ (/ 1 (- x)) -1))) (sqrt (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (cbrt (+ (/ 1 (- x)) -1)))) (* (sqrt (sqrt (+ (/ 1 (- x)) -1))) (sqrt (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (cbrt (+ (/ 1 (- x)) -1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (cbrt (+ (/ 1 (- x)) -1))) in x * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- x)) -1)) in x * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- x)) -1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- x)) -1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- x)) -1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (sqrt (exp (* 1/3 (- (log -1) (log x))))) into (sqrt (exp (* 1/3 (- (log -1) (log x))))) * [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 (* 1 -1) 1)) (pow -1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log -1) (log x)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (/ (* 1/3 (exp (* 1/3 (- (log -1) (log x))))) (* 2 (sqrt (exp (* 1/3 (- (log -1) (log x))))))) into (* 1/6 (sqrt (exp (* 1/3 (- (log -1) (log x)))))) * [misc]backup-simplify: Simplify (sqrt (sqrt (exp (* 1/3 (- (log -1) (log x)))))) into (pow (exp (* 1/3 (- (log -1) (log x)))) 1/4) * [misc]backup-simplify: Simplify (/ (* 1/6 (sqrt (exp (* 1/3 (- (log -1) (log x)))))) (* 2 (sqrt (sqrt (exp (* 1/3 (- (log -1) (log x)))))))) into (* 1/12 (pow (exp (* 1/3 (- (log -1) (log x)))) 1/4)) * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 (- x)) -1))) (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (/ 1 (- x)) -1))) 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]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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +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 (sqrt (cbrt (+ (/ 1 (- x)) -1)))) (* (sqrt (sqrt (+ (/ 1 (- x)) -1))) (sqrt (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (cbrt (+ (/ 1 (- x)) -1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (cbrt (+ (/ 1 (- x)) -1))) in x * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- x)) -1)) in x * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- x)) -1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- x)) -1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- x)) -1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (sqrt (exp (* 1/3 (- (log -1) (log x))))) into (sqrt (exp (* 1/3 (- (log -1) (log x))))) * [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 (* 1 -1) 1)) (pow -1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log -1) (log x)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (/ (* 1/3 (exp (* 1/3 (- (log -1) (log x))))) (* 2 (sqrt (exp (* 1/3 (- (log -1) (log x))))))) into (* 1/6 (sqrt (exp (* 1/3 (- (log -1) (log x)))))) * [misc]backup-simplify: Simplify (sqrt (sqrt (exp (* 1/3 (- (log -1) (log x)))))) into (pow (exp (* 1/3 (- (log -1) (log x)))) 1/4) * [misc]backup-simplify: Simplify (/ (* 1/6 (sqrt (exp (* 1/3 (- (log -1) (log x)))))) (* 2 (sqrt (sqrt (exp (* 1/3 (- (log -1) (log x)))))))) into (* 1/12 (pow (exp (* 1/3 (- (log -1) (log x)))) 1/4)) * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 (- x)) -1))) (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (/ 1 (- x)) -1))) 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]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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +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 (* (sqrt +nan.0) 0) into 0 * [misc]backup-simplify: Simplify (* (pow (exp (* 1/3 (- (log -1) (log x)))) 1/4) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) +nan.0) (* (/ +nan.0 (sqrt +nan.0)) 0)) into (- (* +nan.0 (sqrt +nan.0))) * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (- (log -1) (log x)))) 1/4) (- (* +nan.0 (sqrt +nan.0)))) (* (* 1/12 (pow (exp (* 1/3 (- (log -1) (log x)))) 1/4)) 0)) into (- (* +nan.0 (* (pow (exp (* 1/3 (- (log -1) (log x)))) 1/4) (sqrt +nan.0)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow (exp (* 1/3 (- (log -1) (log x)))) 1/4) (sqrt +nan.0)))) into (- (* +nan.0 (* (pow (exp (* 1/3 (- (log -1) (log x)))) 1/4) (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 (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 (- 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 (/ (- +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) +nan.0) (+ (* (/ +nan.0 (sqrt +nan.0)) +nan.0) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 0))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +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 (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log -1) (log x))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (/ (- (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) (pow (* 1/6 (sqrt (exp (* 1/3 (- (log -1) (log x)))))) 2) (+)) (* 2 (sqrt (exp (* 1/3 (- (log -1) (log x))))))) into (* -5/72 (sqrt (exp (* 1/3 (- (log -1) (log x)))))) * [misc]backup-simplify: Simplify (/ (- (* -5/72 (sqrt (exp (* 1/3 (- (log -1) (log x)))))) (pow (* 1/12 (pow (exp (* 1/3 (- (log -1) (log x)))) 1/4)) 2) (+)) (* 2 (pow (exp (* 1/3 (- (log -1) (log x)))) 1/4))) into (* -11/288 (pow (exp (* 1/3 (- (log -1) (log x)))) 1/4)) * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (- (log -1) (log x)))) 1/4) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))) (+ (* (* 1/12 (pow (exp (* 1/3 (- (log -1) (log x)))) 1/4)) (- (* +nan.0 (sqrt +nan.0)))) (* (* -11/288 (pow (exp (* 1/3 (- (log -1) (log x)))) 1/4)) 0))) into (- (+ (* +nan.0 (* (pow (exp (* 1/3 (- (log -1) (log x)))) 1/4) (sqrt +nan.0))) (- (* +nan.0 (* (pow (exp (* 1/3 (- (log -1) (log x)))) 1/4) (/ 1 (sqrt +nan.0))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (pow (exp (* 1/3 (- (log -1) (log x)))) 1/4) (sqrt +nan.0))) (- (* +nan.0 (* (pow (exp (* 1/3 (- (log -1) (log x)))) 1/4) (/ 1 (sqrt +nan.0))))))) into (- (+ (* +nan.0 (* (pow (exp (* 1/3 (- (log -1) (log x)))) 1/4) (sqrt +nan.0))) (- (* +nan.0 (* (pow (exp (* 1/3 (- (log -1) (log x)))) 1/4) (/ 1 (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 (+ (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (/ (- +nan.0 (+ (* 2 (* (/ +nan.0 (sqrt +nan.0)) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))))))) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0)))) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) +nan.0) (+ (* (/ +nan.0 (sqrt +nan.0)) +nan.0) (+ (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) +nan.0) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0)))) (sqrt +nan.0))) 0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 (- (log -1) (log x)))))) into 1/9 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow 1/3 3) 6)) (* (/ (pow 1/3 1) 1) (/ (pow (- 1/6) 1) 1)) (* (/ (pow 1/9 1) 1)))) into (* 5/81 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (/ (- (* 5/81 (exp (* 1/3 (- (log -1) (log x))))) (+ (* 2 (* (* 1/6 (sqrt (exp (* 1/3 (- (log -1) (log x)))))) (* -5/72 (sqrt (exp (* 1/3 (- (log -1) (log x)))))))))) (* 2 (sqrt (exp (* 1/3 (- (log -1) (log x))))))) into (* 55/1296 (sqrt (exp (* 1/3 (- (log -1) (log x)))))) * [misc]backup-simplify: Simplify (/ (- (* 55/1296 (sqrt (exp (* 1/3 (- (log -1) (log x)))))) (+ (* 2 (* (* 1/12 (pow (exp (* 1/3 (- (log -1) (log x)))) 1/4)) (* -11/288 (pow (exp (* 1/3 (- (log -1) (log x)))) 1/4)))))) (* 2 (pow (exp (* 1/3 (- (log -1) (log x)))) 1/4))) into (* 253/10368 (pow (exp (* 1/3 (- (log -1) (log x)))) 1/4)) * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (- (log -1) (log x)))) 1/4) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) (+ (* (* 1/12 (pow (exp (* 1/3 (- (log -1) (log x)))) 1/4)) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))) (+ (* (* -11/288 (pow (exp (* 1/3 (- (log -1) (log x)))) 1/4)) (- (* +nan.0 (sqrt +nan.0)))) (* (* 253/10368 (pow (exp (* 1/3 (- (log -1) (log x)))) 1/4)) 0)))) into (- (+ (* +nan.0 (* (pow (exp (* 1/3 (- (log -1) (log x)))) 1/4) (/ 1 (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (* (pow (exp (* 1/3 (- (log -1) (log x)))) 1/4) (sqrt +nan.0))) (- (* +nan.0 (* (pow (exp (* 1/3 (- (log -1) (log x)))) 1/4) (/ 1 (sqrt +nan.0))))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (pow (exp (* 1/3 (- (log -1) (log x)))) 1/4) (/ 1 (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (* (pow (exp (* 1/3 (- (log -1) (log x)))) 1/4) (sqrt +nan.0))) (- (* +nan.0 (* (pow (exp (* 1/3 (- (log -1) (log x)))) 1/4) (/ 1 (sqrt +nan.0))))))))) into (- (+ (* +nan.0 (* (pow (exp (* 1/3 (- (log -1) (log x)))) 1/4) (/ 1 (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (* (pow (exp (* 1/3 (- (log -1) (log x)))) 1/4) (sqrt +nan.0))) (- (* +nan.0 (* (pow (exp (* 1/3 (- (log -1) (log x)))) 1/4) (/ 1 (sqrt +nan.0))))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (pow (exp (* 1/3 (- (log -1) (log (/ 1 (- x)))))) 1/4) (/ 1 (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (* (pow (exp (* 1/3 (- (log -1) (log (/ 1 (- x)))))) 1/4) (sqrt +nan.0))) (- (* +nan.0 (* (pow (exp (* 1/3 (- (log -1) (log (/ 1 (- x)))))) 1/4) (/ 1 (sqrt +nan.0))))))))) (pow (/ 1 (- x)) 2)) (+ (* (- (+ (* +nan.0 (* (pow (exp (* 1/3 (- (log -1) (log (/ 1 (- x)))))) 1/4) (sqrt +nan.0))) (- (* +nan.0 (* (pow (exp (* 1/3 (- (log -1) (log (/ 1 (- x)))))) 1/4) (/ 1 (sqrt +nan.0))))))) (/ 1 (- x))) (- (* +nan.0 (* (pow (exp (* 1/3 (- (log -1) (log (/ 1 (- x)))))) 1/4) (sqrt +nan.0)))))) into (- (+ (* +nan.0 (* (/ 1 (* x (sqrt +nan.0))) (pow (exp (* 1/3 (- (log -1) (log (/ -1 x))))) 1/4))) (- (+ (* +nan.0 (* (/ (sqrt +nan.0) (pow x 2)) (pow (exp (* 1/3 (- (log -1) (log (/ -1 x))))) 1/4))) (- (+ (* +nan.0 (* (/ (sqrt +nan.0) x) (pow (exp (* 1/3 (- (log -1) (log (/ -1 x))))) 1/4))) (- (+ (* +nan.0 (* (/ 1 (* (pow x 2) (sqrt +nan.0))) (pow (exp (* 1/3 (- (log -1) (log (/ -1 x))))) 1/4))) (- (+ (* +nan.0 (* (pow (exp (* 1/3 (- (log -1) (log (/ -1 x))))) 1/4) (sqrt +nan.0))) (- (* +nan.0 (* (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3))) (pow (exp (* 1/3 (- (log -1) (log (/ -1 x))))) 1/4)))))))))))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 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 (sqrt (+ x -1))) 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 (sqrt -1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt -1)) (* 2 (sqrt (sqrt -1)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [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 (sqrt (+ x -1))) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ x -1))) 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 (sqrt -1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt -1)) (* 2 (sqrt (sqrt -1)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [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 (* (sqrt (sqrt -1)) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (sqrt -1)) +nan.0) (* (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) 0)) into (- (* +nan.0 (sqrt (sqrt -1)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt (sqrt -1)))) into (- (* +nan.0 (sqrt (sqrt -1)))) * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ (- (/ -1/8 (pow (sqrt -1) 3)) (pow (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) 2) (+)) (* 2 (sqrt (sqrt -1)))) into (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))) * [misc]backup-simplify: Simplify (+ (* (sqrt (sqrt -1)) +nan.0) (+ (* (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) +nan.0) (* (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))) 0))) into (- (+ (* +nan.0 (sqrt (sqrt -1))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 3))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (sqrt (sqrt -1))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 3))))))) into (- (+ (* +nan.0 (sqrt (sqrt -1))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 3))))))) * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (/ 1/2 (sqrt -1)) (/ -1/8 (pow (sqrt -1) 3)))))) (* 2 (sqrt -1))) into (/ 1/16 (pow (sqrt -1) 5)) * [misc]backup-simplify: Simplify (/ (- (/ 1/16 (pow (sqrt -1) 5)) (+ (* 2 (* (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))))))) (* 2 (sqrt (sqrt -1)))) into (* 7/128 (sqrt (/ 1 (pow (sqrt -1) 11)))) * [misc]backup-simplify: Simplify (+ (* (sqrt (sqrt -1)) +nan.0) (+ (* (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) +nan.0) (+ (* (* -3/32 (sqrt (/ 1 (pow (sqrt -1) 7)))) +nan.0) (* (* 7/128 (sqrt (/ 1 (pow (sqrt -1) 11)))) 0)))) into (- (+ (* +nan.0 (sqrt (sqrt -1))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 7)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 3))))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (sqrt (sqrt -1))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 7)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 3))))))))) into (- (+ (* +nan.0 (sqrt (sqrt -1))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 7)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 3))))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (sqrt (sqrt -1))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 7)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 3))))))))) (pow x 3)) (+ (* (- (+ (* +nan.0 (sqrt (sqrt -1))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt -1) 3))))))) (pow x 2)) (* (- (* +nan.0 (sqrt (sqrt -1)))) x))) into (- (+ (* +nan.0 (* (pow x 3) (sqrt (/ 1 (pow (sqrt -1) 7))))) (- (+ (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt -1) 3))))) (- (+ (* +nan.0 (* x (sqrt (sqrt -1)))) (- (+ (* +nan.0 (* (pow x 3) (sqrt (/ 1 (pow (sqrt -1) 3))))) (- (+ (* +nan.0 (* (pow x 2) (sqrt (sqrt -1)))) (- (* +nan.0 (* (pow x 3) (sqrt (sqrt -1))))))))))))))) * [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 (sqrt (+ (/ 1 x) -1))) 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]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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +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 (sqrt (+ (/ 1 x) -1))) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (/ 1 x) -1))) 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]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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +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 (* (sqrt +nan.0) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) +nan.0) (* (/ +nan.0 (sqrt +nan.0)) 0)) into (- (* +nan.0 (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)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 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 (/ (- +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) +nan.0) (+ (* (/ +nan.0 (sqrt +nan.0)) +nan.0) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 0))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (/ (- +nan.0 (+ (* 2 (* (/ +nan.0 (sqrt +nan.0)) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))))))) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0)))) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) +nan.0) (+ (* (/ +nan.0 (sqrt +nan.0)) +nan.0) (+ (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) +nan.0) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0)))) (sqrt +nan.0))) 0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))))) (pow (/ 1 x) 2)) (+ (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) (/ 1 x)) (- (* +nan.0 (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow x 2))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ (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 (sqrt (+ (/ 1 (- x)) -1))) 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]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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +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 (sqrt (+ (/ 1 (- x)) -1))) (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (/ 1 (- x)) -1))) 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]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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +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 (* (sqrt +nan.0) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) +nan.0) (* (/ +nan.0 (sqrt +nan.0)) 0)) into (- (* +nan.0 (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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (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 (- 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 (/ (- +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) +nan.0) (+ (* (/ +nan.0 (sqrt +nan.0)) +nan.0) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 0))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +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 (+ (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (/ (- +nan.0 (+ (* 2 (* (/ +nan.0 (sqrt +nan.0)) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))))))) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0)))) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) +nan.0) (+ (* (/ +nan.0 (sqrt +nan.0)) +nan.0) (+ (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) +nan.0) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0)))) (sqrt +nan.0))) 0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))))) (pow (/ 1 (- x)) 2)) (+ (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) (/ 1 (- x))) (- (* +nan.0 (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow x 2))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ (sqrt +nan.0) x))))))))))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ -1 x)) (cbrt (+ -1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ x -1)) (cbrt (+ x -1)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (x) (* (sqrt (fabs (* (cbrt (* (cbrt (+ x -1)) (cbrt (+ x -1)))) (cbrt (cbrt (+ -1 x)))))) (* (sqrt (sqrt (cbrt (+ x -1)))) (* (sqrt (sqrt (+ x -1))) (sqrt x))))) * * * * [misc]progress: [ 6 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ -1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ x -1))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (x) (* (sqrt (fabs (* (cbrt (sqrt (+ x -1))) (cbrt (sqrt (+ -1 x)))))) (* (sqrt (sqrt (cbrt (+ x -1)))) (* (sqrt (sqrt (+ x -1))) (sqrt x))))) * * * * [misc]progress: [ 7 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (x) (* (sqrt (fabs (* 1 (cbrt (+ -1 x))))) (* (sqrt (sqrt (cbrt (+ x -1)))) (* (sqrt (sqrt (+ x -1))) (sqrt x))))) * * * * [misc]progress: [ 8 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow -1 3) (pow x 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (cbrt (+ -1 (pow x 3))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (x) (* (sqrt (fabs (/ (cbrt (+ -1 (pow x 3))) (cbrt (+ (* -1 -1) (- (* x x) (* -1 x))))))) (* (sqrt (sqrt (cbrt (+ x -1)))) (* (sqrt (sqrt (+ x -1))) (sqrt x))))) * * * * [misc]progress: [ 9 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* -1 -1) (* x x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (cbrt (- 1 (* x x))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (x) (* (sqrt (fabs (/ (cbrt (- 1 (* x x))) (cbrt (- -1 x))))) (* (sqrt (sqrt (cbrt (+ x -1)))) (* (sqrt (sqrt (+ x -1))) (sqrt x))))) * * * * [misc]progress: [ 10 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ x -1)) (cbrt (+ x -1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ -1 x)) (cbrt (+ -1 x)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (* (sqrt (sqrt (* (cbrt (* (cbrt (+ -1 x)) (cbrt (+ -1 x)))) (cbrt (cbrt (+ x -1)))))) (* (sqrt (sqrt (+ x -1))) (sqrt x))))) * * * * [misc]progress: [ 19 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ x -1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ -1 x))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (* (sqrt (sqrt (* (cbrt (sqrt (+ -1 x))) (cbrt (sqrt (+ x -1)))))) (* (sqrt (sqrt (+ x -1))) (sqrt x))))) * * * * [misc]progress: [ 20 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (* (sqrt (sqrt (* 1 (cbrt (+ x -1))))) (* (sqrt (sqrt (+ x -1))) (sqrt x))))) * * * * [misc]progress: [ 21 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow x 3) (pow -1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (cbrt (+ (pow x 3) -1)) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (* (sqrt (sqrt (/ (cbrt (+ (pow x 3) -1)) (cbrt (+ (* x x) (- (* -1 -1) (* x -1))))))) (* (sqrt (sqrt (+ x -1))) (sqrt x))))) * * * * [misc]progress: [ 22 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* x x) (* -1 -1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (cbrt (+ (* x x) -1)) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (* (sqrt (sqrt (/ (cbrt (+ (* x x) -1)) (cbrt (- x -1))))) (* (sqrt (sqrt (+ x -1))) (sqrt x))))) * * * * [misc]progress: [ 23 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (cbrt (+ x -1))) (* (sqrt (+ x -1)) x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (* (sqrt (+ -1 x)) x) (sqrt (cbrt (+ -1 x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (pow (* (* (sqrt (+ -1 x)) x) (sqrt (cbrt (+ -1 x)))) 1/2))) * * * * [misc]progress: [ 28 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (cbrt (+ x -1)))) (* (sqrt (sqrt (+ x -1))) (sqrt x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* (* (sqrt (sqrt (+ -1 x))) (sqrt x)) (sqrt (sqrt (cbrt (+ -1 x))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (pow (* (* (sqrt (sqrt (+ -1 x))) (sqrt x)) (sqrt (sqrt (cbrt (+ -1 x))))) 1))) * * * * [misc]progress: [ 29 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (cbrt (+ x -1)))) (* (sqrt (sqrt (+ x -1))) (sqrt x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* (* (sqrt (sqrt (+ -1 x))) (sqrt x)) (sqrt (sqrt (cbrt (+ -1 x))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (pow (* (* (sqrt (sqrt (+ -1 x))) (sqrt x)) (sqrt (sqrt (cbrt (+ -1 x))))) 1))) * * * * [misc]progress: [ 30 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (sqrt (cbrt (+ x -1))))) (+ (log (sqrt (sqrt (+ x -1)))) (log (sqrt x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (+ (+ (log (sqrt x)) (log (sqrt (sqrt (+ -1 x))))) (log (sqrt (sqrt (cbrt (+ -1 x)))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (exp (+ (+ (log (sqrt x)) (log (sqrt (sqrt (+ -1 x))))) (log (sqrt (sqrt (cbrt (+ -1 x))))))))) * * * * [misc]progress: [ 32 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (sqrt (cbrt (+ x -1))))) (log (* (sqrt (sqrt (+ x -1))) (sqrt x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (sqrt (cbrt (+ -1 x))))) (log (* (sqrt x) (sqrt (sqrt (+ -1 x)))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (exp (+ (log (sqrt (sqrt (cbrt (+ -1 x))))) (log (* (sqrt x) (sqrt (sqrt (+ -1 x))))))))) * * * * [misc]progress: [ 33 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (sqrt (cbrt (+ x -1)))) (sqrt (sqrt (cbrt (+ x -1))))) (sqrt (sqrt (cbrt (+ x -1))))) (* (* (* (sqrt (sqrt (+ x -1))) (sqrt (sqrt (+ x -1)))) (sqrt (sqrt (+ x -1)))) (* (* (sqrt x) (sqrt x)) (sqrt x)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (309 enodes) * [exit]simplify: Simplified to (* (* (sqrt (+ -1 x)) (sqrt (cbrt (+ -1 x)))) (* (sqrt (sqrt (cbrt (+ -1 x)))) (* (* (sqrt x) x) (sqrt (sqrt (+ -1 x)))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (cbrt (* (* (sqrt (+ -1 x)) (sqrt (cbrt (+ -1 x)))) (* (sqrt (sqrt (cbrt (+ -1 x)))) (* (* (sqrt x) x) (sqrt (sqrt (+ -1 x))))))))) * * * * [misc]progress: [ 36 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (sqrt (cbrt (+ x -1)))) (sqrt (sqrt (cbrt (+ x -1))))) (sqrt (sqrt (cbrt (+ x -1))))) (* (* (* (sqrt (sqrt (+ x -1))) (sqrt x)) (* (sqrt (sqrt (+ x -1))) (sqrt x))) (* (sqrt (sqrt (+ x -1))) (sqrt x)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (245 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqrt (+ -1 x)) (* x (sqrt x))) (sqrt (cbrt (+ -1 x)))) (sqrt (sqrt (cbrt (+ -1 x))))) (sqrt (sqrt (+ -1 x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (cbrt (* (* (* (* (sqrt (+ -1 x)) (* x (sqrt x))) (sqrt (cbrt (+ -1 x)))) (sqrt (sqrt (cbrt (+ -1 x))))) (sqrt (sqrt (+ -1 x))))))) * * * * [misc]progress: [ 37 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (cbrt (+ x -1))) (* (sqrt (+ x -1)) x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (* (sqrt (+ -1 x)) x) (sqrt (cbrt (+ -1 x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (sqrt (* (* (sqrt (+ -1 x)) x) (sqrt (cbrt (+ -1 x))))))) * * * * [misc]progress: [ 40 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (cbrt (+ (pow x 3) (pow -1 3))))) (* (sqrt (sqrt (+ (pow x 3) (pow -1 3)))) (sqrt x))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (* (* (sqrt (sqrt (+ (pow x 3) -1))) (sqrt x)) (sqrt (sqrt (cbrt (+ (pow x 3) -1))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (/ (* (* (sqrt (sqrt (+ (pow x 3) -1))) (sqrt x)) (sqrt (sqrt (cbrt (+ (pow x 3) -1))))) (* (sqrt (sqrt (cbrt (+ (* x x) (- (* -1 -1) (* x -1)))))) (sqrt (sqrt (+ (* x x) (- (* -1 -1) (* x -1))))))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (cbrt (+ (* x x) (- (* -1 -1) (* x -1)))))) (sqrt (sqrt (+ (* x x) (- (* -1 -1) (* x -1)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* x x) (- x -1)))) (sqrt (sqrt (cbrt (+ (* x x) (- x -1)))))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (/ (* (* (sqrt (sqrt (+ (pow x 3) -1))) (sqrt x)) (sqrt (sqrt (cbrt (+ (pow x 3) -1))))) (* (sqrt (sqrt (+ (* x x) (- x -1)))) (sqrt (sqrt (cbrt (+ (* x x) (- x -1))))))))) * * * * [misc]progress: [ 42 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (cbrt (+ (pow x 3) (pow -1 3))))) (* (sqrt (sqrt (- (* x x) (* -1 -1)))) (sqrt x))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (* (* (sqrt x) (sqrt (sqrt (+ -1 (* x x))))) (sqrt (sqrt (cbrt (+ (pow x 3) -1))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (/ (* (* (sqrt x) (sqrt (sqrt (+ -1 (* x x))))) (sqrt (sqrt (cbrt (+ (pow x 3) -1))))) (* (sqrt (sqrt (cbrt (+ (* x x) (- (* -1 -1) (* x -1)))))) (sqrt (sqrt (- x -1))))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (cbrt (+ (* x x) (- (* -1 -1) (* x -1)))))) (sqrt (sqrt (- x -1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (cbrt (- (* x x) (- -1 x))))) (sqrt (sqrt (- x -1)))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (/ (* (* (sqrt x) (sqrt (sqrt (+ -1 (* x x))))) (sqrt (sqrt (cbrt (+ (pow x 3) -1))))) (* (sqrt (sqrt (cbrt (- (* x x) (- -1 x))))) (sqrt (sqrt (- x -1))))))) * * * * [misc]progress: [ 43 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (cbrt (- (* x x) (* -1 -1))))) (* (sqrt (sqrt (+ (pow x 3) (pow -1 3)))) (sqrt x))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (* (* (sqrt x) (sqrt (sqrt (+ -1 (pow x 3))))) (sqrt (sqrt (cbrt (- (* x x) 1))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (/ (* (* (sqrt x) (sqrt (sqrt (+ -1 (pow x 3))))) (sqrt (sqrt (cbrt (- (* x x) 1))))) (* (sqrt (sqrt (cbrt (- x -1)))) (sqrt (sqrt (+ (* x x) (- (* -1 -1) (* x -1))))))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (cbrt (- x -1)))) (sqrt (sqrt (+ (* x x) (- (* -1 -1) (* x -1)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* x x) (+ 1 x)))) (sqrt (sqrt (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (/ (* (* (sqrt x) (sqrt (sqrt (+ -1 (pow x 3))))) (sqrt (sqrt (cbrt (- (* x x) 1))))) (* (sqrt (sqrt (+ (* x x) (+ 1 x)))) (sqrt (sqrt (cbrt (+ 1 x)))))))) * * * * [misc]progress: [ 44 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (cbrt (- (* x x) (* -1 -1))))) (* (sqrt (sqrt (- (* x x) (* -1 -1)))) (sqrt x))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (* (* (sqrt (sqrt (- (* x x) 1))) (sqrt x)) (sqrt (sqrt (cbrt (- (* x x) 1))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (/ (* (* (sqrt (sqrt (- (* x x) 1))) (sqrt x)) (sqrt (sqrt (cbrt (- (* x x) 1))))) (* (sqrt (sqrt (cbrt (- x -1)))) (sqrt (sqrt (- x -1))))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (cbrt (- x -1)))) (sqrt (sqrt (- x -1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (/ (* (* (sqrt (sqrt (- (* x x) 1))) (sqrt x)) (sqrt (sqrt (cbrt (- (* x x) 1))))) (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (cbrt (+ 1 x)))))))) * * * * [misc]progress: [ 45 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt x) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (* (* (sqrt (sqrt (cbrt (+ x -1)))) (sqrt (sqrt (+ x -1)))) (sqrt x)))) * * * * [misc]progress: [ 47 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (sqrt (cbrt (+ x -1))))) (cbrt (sqrt (sqrt (cbrt (+ x -1)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (sqrt (cbrt (+ -1 x))))) (cbrt (sqrt (sqrt (cbrt (+ -1 x)))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (* (* (cbrt (sqrt (sqrt (cbrt (+ -1 x))))) (cbrt (sqrt (sqrt (cbrt (+ -1 x)))))) (* (cbrt (sqrt (sqrt (cbrt (+ x -1))))) (* (sqrt (sqrt (+ x -1))) (sqrt x)))))) * * * * [misc]progress: [ 48 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (sqrt (cbrt (+ x -1)))) (cbrt (sqrt (cbrt (+ x -1)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (fabs (cbrt (sqrt (cbrt (+ -1 x))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (* (fabs (cbrt (sqrt (cbrt (+ -1 x))))) (* (sqrt (cbrt (sqrt (cbrt (+ x -1))))) (* (sqrt (sqrt (+ x -1))) (sqrt x)))))) * * * * [misc]progress: [ 49 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (cbrt (* (cbrt (+ x -1)) (cbrt (+ x -1)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (cbrt (* (cbrt (+ -1 x)) (cbrt (+ -1 x)))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (* (sqrt (sqrt (cbrt (* (cbrt (+ -1 x)) (cbrt (+ -1 x)))))) (* (sqrt (sqrt (cbrt (cbrt (+ x -1))))) (* (sqrt (sqrt (+ x -1))) (sqrt x)))))) * * * * [misc]progress: [ 50 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (cbrt (sqrt (+ x -1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (cbrt (sqrt (+ -1 x))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (* (sqrt (sqrt (cbrt (sqrt (+ -1 x))))) (* (sqrt (sqrt (cbrt (sqrt (+ x -1))))) (* (sqrt (sqrt (+ x -1))) (sqrt x)))))) * * * * [misc]progress: [ 51 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (cbrt 1))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (* 1 (* (sqrt (sqrt (cbrt (+ x -1)))) (* (sqrt (sqrt (+ x -1))) (sqrt x)))))) * * * * [misc]progress: [ 52 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (* (cbrt (cbrt (+ x -1))) (cbrt (cbrt (+ x -1)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (fabs (cbrt (cbrt (+ -1 x))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (* (sqrt (fabs (cbrt (cbrt (+ -1 x))))) (* (sqrt (sqrt (cbrt (cbrt (+ x -1))))) (* (sqrt (sqrt (+ x -1))) (sqrt x)))))) * * * * [misc]progress: [ 53 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (cbrt (+ x -1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (cbrt (+ -1 x))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (* (sqrt (sqrt (sqrt (cbrt (+ -1 x))))) (* (sqrt (sqrt (sqrt (cbrt (+ x -1))))) (* (sqrt (sqrt (+ x -1))) (sqrt x)))))) * * * * [misc]progress: [ 54 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (* 1 (* (sqrt (sqrt (cbrt (+ x -1)))) (* (sqrt (sqrt (+ x -1))) (sqrt x)))))) * * * * [misc]progress: [ 55 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (cbrt (+ x -1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (cbrt (+ -1 x))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (* (sqrt (sqrt (sqrt (cbrt (+ -1 x))))) (* (sqrt (sqrt (sqrt (cbrt (+ x -1))))) (* (sqrt (sqrt (+ x -1))) (sqrt x)))))) * * * * [misc]progress: [ 56 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (* 1 (* (sqrt (sqrt (cbrt (+ x -1)))) (* (sqrt (sqrt (+ x -1))) (sqrt x)))))) * * * * [misc]progress: [ 57 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (cbrt (+ x -1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (cbrt (+ -1 x))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (* (sqrt (sqrt (sqrt (cbrt (+ -1 x))))) (* (sqrt (sqrt (sqrt (cbrt (+ x -1))))) (* (sqrt (sqrt (+ x -1))) (sqrt x)))))) * * * * [misc]progress: [ 58 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* x x) (- (* -1 -1) (* x -1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- (* x x) (- -1 x)))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (/ (* (sqrt (sqrt (cbrt (+ x -1)))) (* (sqrt (sqrt (+ (pow x 3) (pow -1 3)))) (sqrt x))) (sqrt (sqrt (- (* x x) (- -1 x))))))) * * * * [misc]progress: [ 60 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- x -1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (/ (* (sqrt (sqrt (cbrt (+ x -1)))) (* (sqrt (sqrt (- (* x x) (* -1 -1)))) (sqrt x))) (sqrt (sqrt (+ x 1)))))) * * * * [misc]progress: [ 61 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (cbrt (+ (pow x 3) (pow -1 3))))) (* (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 (36 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (* (* (sqrt (sqrt (+ -1 x))) (sqrt x)) (sqrt (sqrt (cbrt (+ (pow x 3) -1))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (/ (* (* (sqrt (sqrt (+ -1 x))) (sqrt x)) (sqrt (sqrt (cbrt (+ (pow x 3) -1))))) (sqrt (sqrt (cbrt (+ (* x x) (- (* -1 -1) (* x -1))))))))) * * * * [misc]progress: [ 62 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (cbrt (- (* x x) (* -1 -1))))) (* (sqrt (sqrt (+ x -1))) (sqrt x))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (* (* (sqrt (sqrt (+ x -1))) (sqrt x)) (sqrt (sqrt (cbrt (- (* x x) 1))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (/ (* (* (sqrt (sqrt (+ x -1))) (sqrt x)) (sqrt (sqrt (cbrt (- (* x x) 1))))) (sqrt (sqrt (cbrt (- x -1))))))) * * * * [misc]progress: [ 63 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ x -1)) x) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (sqrt (+ -1 x)) x) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (* (sqrt (sqrt (cbrt (+ x -1)))) (pow (* (sqrt (+ -1 x)) x) 1/2)))) * * * * [misc]progress: [ 65 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (+ x -1))) (sqrt x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ -1 x))) (sqrt x)) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (* (sqrt (sqrt (cbrt (+ x -1)))) (pow (* (sqrt (sqrt (+ -1 x))) (sqrt x)) 1)))) * * * * [misc]progress: [ 66 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (sqrt (+ x -1)))) (log (sqrt x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (sqrt (+ -1 x)))) (log (sqrt x))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (* (sqrt (sqrt (cbrt (+ x -1)))) (exp (+ (log (sqrt (sqrt (+ -1 x)))) (log (sqrt x))))))) * * * * [misc]progress: [ 68 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (sqrt (+ x -1))) (sqrt (sqrt (+ x -1)))) (sqrt (sqrt (+ x -1)))) (* (* (sqrt x) (sqrt x)) (sqrt x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ -1 x))) (* (* (sqrt x) x) (sqrt (+ -1 x)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (* (sqrt (sqrt (cbrt (+ x -1)))) (cbrt (* (sqrt (sqrt (+ -1 x))) (* (* (sqrt x) x) (sqrt (+ -1 x)))))))) * * * * [misc]progress: [ 71 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ x -1)) x) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (sqrt (+ -1 x)) x) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (* (sqrt (sqrt (cbrt (+ x -1)))) (sqrt (* (sqrt (+ -1 x)) x))))) * * * * [misc]progress: [ 74 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sqrt x)) * [misc]simplify: Simplified (2 2 2 2) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (* (sqrt (sqrt (cbrt (+ x -1)))) (* (* (sqrt (sqrt (+ x -1))) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (cbrt (sqrt x)))))) * * * * [misc]progress: [ 77 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sqrt x)) * [misc]simplify: Simplified (2 2 2 2) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (* (sqrt (sqrt (cbrt (+ x -1)))) (* (* (sqrt (sqrt (+ x -1))) (sqrt (sqrt x))) (sqrt (sqrt x)))))) * * * * [misc]progress: [ 78 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt x) * [misc]simplify: Simplified (2 2 2 2) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (* (sqrt (sqrt (cbrt (+ x -1)))) (* (* (sqrt (sqrt (+ x -1))) 1) (sqrt x))))) * * * * [misc]progress: [ 79 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (sqrt (+ x -1)))) (cbrt (sqrt (sqrt (+ x -1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (sqrt (+ -1 x)))) (cbrt (sqrt (sqrt (+ -1 x))))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (* (sqrt (sqrt (cbrt (+ x -1)))) (* (* (cbrt (sqrt (sqrt (+ -1 x)))) (cbrt (sqrt (sqrt (+ -1 x))))) (* (cbrt (sqrt (sqrt (+ x -1)))) (sqrt x)))))) * * * * [misc]progress: [ 80 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (sqrt (+ x -1))) (cbrt (sqrt (+ x -1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (fabs (cbrt (sqrt (+ -1 x)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (* (sqrt (sqrt (cbrt (+ x -1)))) (* (fabs (cbrt (sqrt (+ -1 x)))) (* (sqrt (cbrt (sqrt (+ x -1)))) (sqrt x)))))) * * * * [misc]progress: [ 81 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (* (cbrt (+ x -1)) (cbrt (+ x -1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (fabs (cbrt (+ -1 x)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (* (sqrt (sqrt (cbrt (+ x -1)))) (* (sqrt (fabs (cbrt (+ -1 x)))) (* (sqrt (sqrt (cbrt (+ x -1)))) (sqrt x)))))) * * * * [misc]progress: [ 82 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ x -1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ -1 x)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (* (sqrt (sqrt (cbrt (+ x -1)))) (* (sqrt (sqrt (sqrt (+ -1 x)))) (* (sqrt (sqrt (sqrt (+ x -1)))) (sqrt x)))))) * * * * [misc]progress: [ 83 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (* (sqrt (sqrt (cbrt (+ x -1)))) (* 1 (* (sqrt (sqrt (+ x -1))) (sqrt x)))))) * * * * [misc]progress: [ 84 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ x -1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ -1 x)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (* (sqrt (sqrt (cbrt (+ x -1)))) (* (sqrt (sqrt (sqrt (+ -1 x)))) (* (sqrt (sqrt (sqrt (+ x -1)))) (sqrt x)))))) * * * * [misc]progress: [ 85 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (* (sqrt (sqrt (cbrt (+ x -1)))) (* 1 (* (sqrt (sqrt (+ x -1))) (sqrt x)))))) * * * * [misc]progress: [ 86 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ x -1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ -1 x)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (* (sqrt (sqrt (cbrt (+ x -1)))) (* (sqrt (sqrt (sqrt (+ -1 x)))) (* (sqrt (sqrt (sqrt (+ x -1)))) (sqrt x)))))) * * * * [misc]progress: [ 87 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (+ (pow x 3) (pow -1 3)))) (sqrt x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (pow x 3) -1))) (sqrt x)) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (* (sqrt (sqrt (cbrt (+ x -1)))) (/ (* (sqrt (sqrt (+ (pow x 3) -1))) (sqrt x)) (sqrt (sqrt (+ (* x x) (- (* -1 -1) (* x -1))))))))) * * * * [misc]progress: [ 89 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (- (* x x) (* -1 -1)))) (sqrt x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (sqrt (+ (* x x) -1)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (* (sqrt (sqrt (cbrt (+ x -1)))) (/ (* (sqrt x) (sqrt (sqrt (+ (* x x) -1)))) (sqrt (sqrt (- x -1))))))) * * * * [misc]progress: [ 90 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 91 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow -1 1/3) (+ (* 1/3 (* x (pow -1 1/3))) (* 1/9 (* (pow x 2) (pow -1 1/3))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * * [misc]simplify: iters left: 1 (422 enodes) * [exit]simplify: Simplified to (+ (cbrt -1) (* (* (cbrt -1) x) (- -1/3 (* x 1/9)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (* (sqrt (fabs (+ (cbrt -1) (* (* (cbrt -1) x) (- -1/3 (* x 1/9)))))) (* (sqrt (sqrt (cbrt (+ x -1)))) (* (sqrt (sqrt (+ x -1))) (sqrt x))))) * * * * [misc]progress: [ 92 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (/ 1 x) -1/3) (+ (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (* 1/9 (pow (/ 1 (pow x 5)) 1/3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (+ (+ (* -1/3 (cbrt (/ (/ 1 x) x))) (* -1/9 (cbrt (/ 1 (pow x 5))))) (pow (/ 1 x) -1/3)) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (* (sqrt (fabs (+ (+ (* -1/3 (cbrt (/ (/ 1 x) x))) (* -1/9 (cbrt (/ 1 (pow x 5))))) (pow (/ 1 x) -1/3)))) (* (sqrt (sqrt (cbrt (+ x -1)))) (* (sqrt (sqrt (+ x -1))) (sqrt x))))) * * * * [misc]progress: [ 93 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x)) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (267 enodes) * [exit]simplify: Simplified to (- (cbrt x) (* (+ (/ 1/9 x) 1/3) (/ (cbrt x) x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (* (sqrt (fabs (- (cbrt x) (* (+ (/ 1/9 x) 1/3) (/ (cbrt x) x))))) (* (sqrt (sqrt (cbrt (+ x -1)))) (* (sqrt (sqrt (+ x -1))) (sqrt x))))) * * * * [misc]progress: [ 94 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow -1 1/3) (+ (* 1/3 (* x (pow -1 1/3))) (* 1/9 (* (pow x 2) (pow -1 1/3))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * * [misc]simplify: iters left: 1 (422 enodes) * [exit]simplify: Simplified to (+ (cbrt -1) (* (* (cbrt -1) x) (- -1/3 (* x 1/9)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (* (sqrt (sqrt (+ (cbrt -1) (* (* (cbrt -1) x) (- -1/3 (* x 1/9)))))) (* (sqrt (sqrt (+ x -1))) (sqrt x))))) * * * * [misc]progress: [ 95 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (/ 1 x) -1/3) (+ (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (* 1/9 (pow (/ 1 (pow x 5)) 1/3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (+ (+ (* -1/3 (cbrt (/ (/ 1 x) x))) (* -1/9 (cbrt (/ 1 (pow x 5))))) (pow (/ 1 x) -1/3)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (* (sqrt (sqrt (+ (+ (* -1/3 (cbrt (/ (/ 1 x) x))) (* -1/9 (cbrt (/ 1 (pow x 5))))) (pow (/ 1 x) -1/3)))) (* (sqrt (sqrt (+ x -1))) (sqrt x))))) * * * * [misc]progress: [ 96 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x)) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (267 enodes) * [exit]simplify: Simplified to (- (cbrt x) (* (+ (/ 1/9 x) 1/3) (/ (cbrt x) x))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (* (sqrt (sqrt (- (cbrt x) (* (+ (/ 1/9 x) 1/3) (/ (cbrt x) x))))) (* (sqrt (sqrt (+ x -1))) (sqrt x))))) * * * * [misc]progress: [ 97 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (pow x 3) (* (sqrt (/ 1 (pow (sqrt -1) 7))) (pow -1 1/12)))) (- (+ (* +nan.0 (* (pow x 3) (* (sqrt (sqrt -1)) (pow -1 1/12)))) (- (+ (* +nan.0 (* (pow x 3) (* (sqrt (/ 1 (pow (sqrt -1) 3))) (pow -1 1/12)))) (- (+ (* +nan.0 (* (pow x 2) (* (sqrt (sqrt -1)) (pow -1 1/12)))) (- (+ (* +nan.0 (* (pow x 2) (* (sqrt (/ 1 (pow (sqrt -1) 3))) (pow -1 1/12)))) (- (* +nan.0 (* x (* (sqrt (sqrt -1)) (pow -1 1/12))))))))))))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) +nan.0)) * * * * [misc]progress: [ 98 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (pow (/ 1 (pow x 23)) 1/12) (sqrt +nan.0))) (- (+ (* +nan.0 (* (pow (/ 1 (pow x 11)) 1/12) (/ 1 (sqrt +nan.0)))) (- (+ (* +nan.0 (* (pow (/ 1 (pow x 23)) 1/12) (/ 1 (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (* (pow x 1/12) (sqrt +nan.0))) (- (+ (* +nan.0 (* (pow (/ 1 (pow x 23)) 1/12) (/ 1 (sqrt +nan.0)))) (- (* +nan.0 (* (pow (/ 1 (pow x 11)) 1/12) (sqrt +nan.0)))))))))))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) +nan.0)) * * * * [misc]progress: [ 99 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (/ 1 (* x (sqrt +nan.0))) (pow (exp (* 1/3 (- (log -1) (log (/ -1 x))))) 1/4))) (- (+ (* +nan.0 (* (/ (sqrt +nan.0) (pow x 2)) (pow (exp (* 1/3 (- (log -1) (log (/ -1 x))))) 1/4))) (- (+ (* +nan.0 (* (/ (sqrt +nan.0) x) (pow (exp (* 1/3 (- (log -1) (log (/ -1 x))))) 1/4))) (- (+ (* +nan.0 (* (/ 1 (* (pow x 2) (sqrt +nan.0))) (pow (exp (* 1/3 (- (log -1) (log (/ -1 x))))) 1/4))) (- (+ (* +nan.0 (* (pow (exp (* 1/3 (- (log -1) (log (/ -1 x))))) 1/4) (sqrt +nan.0))) (- (* +nan.0 (* (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3))) (pow (exp (* 1/3 (- (log -1) (log (/ -1 x))))) 1/4)))))))))))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) +nan.0)) * * * * [misc]progress: [ 100 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (pow x 3) (sqrt (/ 1 (pow (sqrt -1) 7))))) (- (+ (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt -1) 3))))) (- (+ (* +nan.0 (* x (sqrt (sqrt -1)))) (- (+ (* +nan.0 (* (pow x 3) (sqrt (/ 1 (pow (sqrt -1) 3))))) (- (+ (* +nan.0 (* (pow x 2) (sqrt (sqrt -1)))) (- (* +nan.0 (* (pow x 3) (sqrt (sqrt -1))))))))))))))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (* (sqrt (sqrt (cbrt (+ x -1)))) +nan.0))) * * * * [misc]progress: [ 101 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow x 2))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ (sqrt +nan.0) x))))))))))))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (* (sqrt (sqrt (cbrt (+ x -1)))) +nan.0))) * * * * [misc]progress: [ 102 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow x 2))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ (sqrt +nan.0) x))))))))))))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* (sqrt (fabs (cbrt (+ -1 x)))) (* (sqrt (sqrt (cbrt (+ x -1)))) +nan.0))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # # # # # # # # # # #) * * * [misc]regime-changes: Trying 1 branch expressions: (x) * * * * [misc]regimes: Trying to branch on x from (# # # # # # # # # # # # #) * * * [misc]regime: Found split indices: #