* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (hypot a c))) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (hypot a c))) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (+ a (hypot a c)) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (+ a (hypot a c)) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (hypot a c) in c * [misc]backup-simplify: Simplify (hypot a c) into (hypot a c) * [misc]taylor: Taking taylor expansion of (+ a (hypot a c)) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (hypot a c) in a * [misc]backup-simplify: Simplify (hypot a c) into (hypot a c) * [misc]taylor: Taking taylor expansion of (+ a (hypot a c)) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (hypot a c) in a * [misc]backup-simplify: Simplify (hypot a c) into (hypot a c) * [misc]backup-simplify: Simplify (+ 0 (hypot a c)) into (hypot a c) * [misc]taylor: Taking taylor expansion of (hypot a c) in c * [misc]backup-simplify: Simplify (hypot a c) into (hypot a c) * [misc]backup-simplify: Simplify (hypot a c) into (hypot a c) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in c * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 a)) (hypot a c)) into (+ (hypot a c) a) * [misc]approximate: Taking taylor expansion of (+ (/ 1 a) (hypot (/ 1 a) (/ 1 c))) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (hypot (/ 1 a) (/ 1 c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 a) (/ 1 c)) in c * [misc]backup-simplify: Simplify (hypot (/ 1 a) (/ 1 c)) into (hypot (/ 1 a) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (hypot (/ 1 a) (/ 1 c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (hypot (/ 1 a) (/ 1 c)) in a * [misc]backup-simplify: Simplify (hypot (/ 1 a) (/ 1 c)) into (hypot (/ 1 a) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (hypot (/ 1 a) (/ 1 c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (hypot (/ 1 a) (/ 1 c)) in a * [misc]backup-simplify: Simplify (hypot (/ 1 a) (/ 1 c)) into (hypot (/ 1 a) (/ 1 c)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in c * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (hypot (/ 1 a) (/ 1 c))) into (hypot (/ 1 a) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 a) (/ 1 c)) in c * [misc]backup-simplify: Simplify (hypot (/ 1 a) (/ 1 c)) into (hypot (/ 1 a) (/ 1 c)) * [misc]backup-simplify: Simplify (hypot (/ 1 a) (/ 1 c)) into (hypot (/ 1 a) (/ 1 c)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 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]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (hypot (/ 1 a) (/ 1 c)) (* 1 (* 1 (/ 1 (/ 1 a))))) into (+ (hypot (/ 1 a) (/ 1 c)) a) * [misc]approximate: Taking taylor expansion of (+ (/ 1 (- a)) (hypot (/ 1 (- a)) (/ 1 (- c)))) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (hypot (/ 1 (- a)) (/ 1 (- c)))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in c * [misc]taylor: Taking taylor expansion of (- a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 (- a)) (/ 1 (- c))) in c * [misc]backup-simplify: Simplify (hypot (/ 1 (- a)) (/ 1 (- c))) into (hypot (/ -1 a) (/ -1 c)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (hypot (/ 1 (- a)) (/ 1 (- c)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (hypot (/ 1 (- a)) (/ 1 (- c))) in a * [misc]backup-simplify: Simplify (hypot (/ 1 (- a)) (/ 1 (- c))) into (hypot (/ -1 a) (/ -1 c)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (hypot (/ 1 (- a)) (/ 1 (- c)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (hypot (/ 1 (- a)) (/ 1 (- c))) in a * [misc]backup-simplify: Simplify (hypot (/ 1 (- a)) (/ 1 (- c))) into (hypot (/ -1 a) (/ -1 c)) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]taylor: Taking taylor expansion of -1 in c * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (hypot (/ -1 a) (/ -1 c))) into (hypot (/ -1 a) (/ -1 c)) * [misc]taylor: Taking taylor expansion of (hypot (/ -1 a) (/ -1 c)) in c * [misc]backup-simplify: Simplify (hypot (/ -1 a) (/ -1 c)) into (hypot (/ -1 a) (/ -1 c)) * [misc]backup-simplify: Simplify (hypot (/ -1 a) (/ -1 c)) into (hypot (/ -1 a) (/ -1 c)) * [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 (- 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]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 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]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (hypot (/ -1 a) (/ -1 c)) (* -1 (* 1 (/ 1 (/ 1 (- a)))))) into (+ a (hypot (/ -1 a) (/ -1 c))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (hypot a c) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (hypot a c) in c * [misc]backup-simplify: Simplify (hypot a c) into (hypot a c) * [misc]taylor: Taking taylor expansion of (hypot a c) in a * [misc]backup-simplify: Simplify (hypot a c) into (hypot a c) * [misc]taylor: Taking taylor expansion of (hypot a c) in a * [misc]backup-simplify: Simplify (hypot a c) into (hypot a c) * [misc]taylor: Taking taylor expansion of (hypot a c) in c * [misc]backup-simplify: Simplify (hypot a c) into (hypot a c) * [misc]backup-simplify: Simplify (hypot a c) into (hypot a c) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot a c) into (hypot a c) * [misc]approximate: Taking taylor expansion of (hypot (/ 1 a) (/ 1 c)) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (hypot (/ 1 a) (/ 1 c)) in c * [misc]backup-simplify: Simplify (hypot (/ 1 a) (/ 1 c)) into (hypot (/ 1 a) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 a) (/ 1 c)) in a * [misc]backup-simplify: Simplify (hypot (/ 1 a) (/ 1 c)) into (hypot (/ 1 a) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 a) (/ 1 c)) in a * [misc]backup-simplify: Simplify (hypot (/ 1 a) (/ 1 c)) into (hypot (/ 1 a) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 a) (/ 1 c)) in c * [misc]backup-simplify: Simplify (hypot (/ 1 a) (/ 1 c)) into (hypot (/ 1 a) (/ 1 c)) * [misc]backup-simplify: Simplify (hypot (/ 1 a) (/ 1 c)) into (hypot (/ 1 a) (/ 1 c)) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (/ 1 a) (/ 1 c)) into (hypot (/ 1 a) (/ 1 c)) * [misc]approximate: Taking taylor expansion of (hypot (/ 1 (- a)) (/ 1 (- c))) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (hypot (/ 1 (- a)) (/ 1 (- c))) in c * [misc]backup-simplify: Simplify (hypot (/ 1 (- a)) (/ 1 (- c))) into (hypot (/ -1 a) (/ -1 c)) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 (- a)) (/ 1 (- c))) in a * [misc]backup-simplify: Simplify (hypot (/ 1 (- a)) (/ 1 (- c))) into (hypot (/ -1 a) (/ -1 c)) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 (- a)) (/ 1 (- c))) in a * [misc]backup-simplify: Simplify (hypot (/ 1 (- a)) (/ 1 (- c))) into (hypot (/ -1 a) (/ -1 c)) * [misc]taylor: Taking taylor expansion of (hypot (/ -1 a) (/ -1 c)) in c * [misc]backup-simplify: Simplify (hypot (/ -1 a) (/ -1 c)) into (hypot (/ -1 a) (/ -1 c)) * [misc]backup-simplify: Simplify (hypot (/ -1 a) (/ -1 c)) into (hypot (/ -1 a) (/ -1 c)) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (/ -1 a) (/ -1 c)) into (hypot (/ -1 a) (/ -1 c)) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 2 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (hypot (hypot b (tan -1.7821069461122345e-254)) (+ (hypot a c) a)) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (hypot a c))) * * * * [misc]progress: [ 2 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (hypot (hypot b (tan -1.7821069461122345e-254)) (+ (hypot (/ 1 a) (/ 1 c)) a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (hypot (/ 1 a) (/ 1 c)))) * * * * [misc]progress: [ 3 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (hypot (/ -1 a) (/ -1 c)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (hypot (/ -1 a) (/ -1 c)))) * * * * [misc]progress: [ 4 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (hypot a c))) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (hypot a c))) * * * * [misc]progress: [ 5 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (hypot (/ 1 a) (/ 1 c)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (hypot (/ 1 a) (/ 1 c)))) * * * * [misc]progress: [ 6 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (hypot (/ -1 a) (/ -1 c)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (hypot (/ -1 a) (/ -1 c)))) * * * * [misc]progress: [ 7 / 23 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ a (hypot a c))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (+ a (hypot a c))) * [exit]simplify: Simplified to (log (+ a (hypot a c))) * * * * [misc]progress: [ 9 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ a (hypot a c))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (exp (+ a (hypot a c))) * [exit]simplify: Simplified to (exp (+ a (hypot a c))) * * * * [misc]progress: [ 10 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ a (hypot a c))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (+ a (hypot a c))) * [exit]simplify: Simplified to (cbrt (+ a (hypot a c))) * * * * [misc]progress: [ 11 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ a (hypot a c))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (cube (+ a (hypot a c))) * [exit]simplify: Simplified to (cube (+ a (hypot a c))) * * * * [misc]progress: [ 12 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ a (hypot a c))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (+ a (hypot a c))) * [exit]simplify: Simplified to (sqrt (+ a (hypot a c))) * * * * [misc]progress: [ 13 / 23 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow a 3) (pow (hypot a c) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (- (cube a) (cube (hypot a c))) * [exit]simplify: Simplified to (- (cube a) (cube (hypot a c))) * [enter]simplify: Simplifying (+ (sqr a) (- (sqr (hypot a c)) (* a (hypot a c)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (+ (* (hypot a c) (- (hypot a c) a)) (sqr a)) * [exit]simplify: Simplified to (+ (* (hypot a c) (- (hypot a c) a)) (sqr a)) * * * * [misc]progress: [ 15 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr a) (sqr (hypot a c))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (* (+ (hypot a c) a) (- a (hypot a c))) * [exit]simplify: Simplified to (* (+ (hypot a c) a) (- a (hypot a c))) * [enter]simplify: Simplifying (- a (hypot a c)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (- a (hypot a c)) * [exit]simplify: Simplified to (- a (hypot a c)) * * * * [misc]progress: [ 16 / 23 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 23 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (log (hypot a c)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (log (hypot a c)) * [exit]simplify: Simplified to (log (hypot a c)) * * * * [misc]progress: [ 19 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (hypot a c)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (exp (hypot a c)) * [exit]simplify: Simplified to (exp (hypot a c)) * * * * [misc]progress: [ 20 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (hypot a c)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (cbrt (hypot a c)) * [exit]simplify: Simplified to (cbrt (hypot a c)) * * * * [misc]progress: [ 21 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (hypot a c)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (cube (hypot a c)) * [exit]simplify: Simplified to (cube (hypot a c)) * * * * [misc]progress: [ 22 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (hypot a c)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (sqrt (hypot a c)) * [exit]simplify: Simplified to (sqrt (hypot a c)) * * * * [misc]progress: [ 23 / 23 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (+ a (sqr (sqrt (hypot a c)))) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (+ a (sqr (sqrt (hypot a c)))) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot a c))) in c * [misc]taylor: Taking taylor expansion of (sqrt (hypot a c)) in c * [misc]taylor: Taking taylor expansion of (hypot a c) in c * [misc]backup-simplify: Simplify (hypot a c) into (hypot a c) * [misc]backup-simplify: Simplify (sqrt (hypot a c)) into (sqrt (hypot a c)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot a c)))) into 0 * [misc]taylor: Taking taylor expansion of (+ a (sqr (sqrt (hypot a c)))) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot a c))) in a * [misc]taylor: Taking taylor expansion of (sqrt (hypot a c)) in a * [misc]taylor: Taking taylor expansion of (hypot a c) in a * [misc]backup-simplify: Simplify (hypot a c) into (hypot a c) * [misc]backup-simplify: Simplify (sqrt (hypot a c)) into (sqrt (hypot a c)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot a c)))) into 0 * [misc]taylor: Taking taylor expansion of (+ a (sqr (sqrt (hypot a c)))) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot a c))) in a * [misc]taylor: Taking taylor expansion of (sqrt (hypot a c)) in a * [misc]taylor: Taking taylor expansion of (hypot a c) in a * [misc]backup-simplify: Simplify (hypot a c) into (hypot a c) * [misc]backup-simplify: Simplify (sqrt (hypot a c)) into (sqrt (hypot a c)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot a c)))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (hypot a c)) (sqrt (hypot a c))) into (hypot a c) * [misc]backup-simplify: Simplify (+ 0 (hypot a c)) into (hypot a c) * [misc]taylor: Taking taylor expansion of (hypot a c) in c * [misc]backup-simplify: Simplify (hypot a c) into (hypot a c) * [misc]backup-simplify: Simplify (hypot a c) into (hypot a c) * [misc]backup-simplify: Simplify (+ (* (sqrt (hypot a c)) 0) (* 0 (sqrt (hypot a c)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in c * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot a c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (hypot a c)) 0) (+ (* 0 0) (* 0 (sqrt (hypot a c))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (hypot a c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (hypot a c)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (hypot a c)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 a)) (hypot a c)) into (+ (hypot a c) a) * [misc]approximate: Taking taylor expansion of (+ (/ 1 a) (sqr (sqrt (hypot (/ 1 a) (/ 1 c))))) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (sqr (sqrt (hypot (/ 1 a) (/ 1 c))))) in c * [misc]taylor: Taking taylor expansion of (/ 1 a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot (/ 1 a) (/ 1 c)))) in c * [misc]taylor: Taking taylor expansion of (sqrt (hypot (/ 1 a) (/ 1 c))) in c * [misc]taylor: Taking taylor expansion of (hypot (/ 1 a) (/ 1 c)) in c * [misc]backup-simplify: Simplify (hypot (/ 1 a) (/ 1 c)) into (hypot (/ 1 a) (/ 1 c)) * [misc]backup-simplify: Simplify (sqrt (hypot (/ 1 a) (/ 1 c))) into (sqrt (hypot (/ 1 a) (/ 1 c))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 a) (/ 1 c))))) into 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (sqr (sqrt (hypot (/ 1 a) (/ 1 c))))) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (sqr (sqrt (hypot (/ 1 a) (/ 1 c)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (hypot (/ 1 a) (/ 1 c))) in a * [misc]taylor: Taking taylor expansion of (hypot (/ 1 a) (/ 1 c)) in a * [misc]backup-simplify: Simplify (hypot (/ 1 a) (/ 1 c)) into (hypot (/ 1 a) (/ 1 c)) * [misc]backup-simplify: Simplify (sqrt (hypot (/ 1 a) (/ 1 c))) into (sqrt (hypot (/ 1 a) (/ 1 c))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 a) (/ 1 c))))) into 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (sqr (sqrt (hypot (/ 1 a) (/ 1 c))))) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (sqr (sqrt (hypot (/ 1 a) (/ 1 c)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (hypot (/ 1 a) (/ 1 c))) in a * [misc]taylor: Taking taylor expansion of (hypot (/ 1 a) (/ 1 c)) in a * [misc]backup-simplify: Simplify (hypot (/ 1 a) (/ 1 c)) into (hypot (/ 1 a) (/ 1 c)) * [misc]backup-simplify: Simplify (sqrt (hypot (/ 1 a) (/ 1 c))) into (sqrt (hypot (/ 1 a) (/ 1 c))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 a) (/ 1 c))))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in c * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (hypot (/ 1 a) (/ 1 c))) (sqrt (hypot (/ 1 a) (/ 1 c)))) into (hypot (/ 1 a) (/ 1 c)) * [misc]backup-simplify: Simplify (+ 0 (hypot (/ 1 a) (/ 1 c))) into (hypot (/ 1 a) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 a) (/ 1 c)) in c * [misc]backup-simplify: Simplify (hypot (/ 1 a) (/ 1 c)) into (hypot (/ 1 a) (/ 1 c)) * [misc]backup-simplify: Simplify (hypot (/ 1 a) (/ 1 c)) into (hypot (/ 1 a) (/ 1 c)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (hypot (/ 1 a) (/ 1 c))) 0) (* 0 (sqrt (hypot (/ 1 a) (/ 1 c))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot (/ 1 a) (/ 1 c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (hypot (/ 1 a) (/ 1 c))) 0) (+ (* 0 0) (* 0 (sqrt (hypot (/ 1 a) (/ 1 c)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (hypot (/ 1 a) (/ 1 c)) (* 1 (* 1 (/ 1 (/ 1 a))))) into (+ (hypot (/ 1 a) (/ 1 c)) a) * [misc]approximate: Taking taylor expansion of (+ (/ 1 (- a)) (sqr (sqrt (hypot (/ 1 (- a)) (/ 1 (- c)))))) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (sqr (sqrt (hypot (/ 1 (- a)) (/ 1 (- c)))))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in c * [misc]taylor: Taking taylor expansion of (- a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot (/ 1 (- a)) (/ 1 (- c))))) in c * [misc]taylor: Taking taylor expansion of (sqrt (hypot (/ 1 (- a)) (/ 1 (- c)))) in c * [misc]taylor: Taking taylor expansion of (hypot (/ 1 (- a)) (/ 1 (- c))) in c * [misc]backup-simplify: Simplify (hypot (/ 1 (- a)) (/ 1 (- c))) into (hypot (/ -1 a) (/ -1 c)) * [misc]backup-simplify: Simplify (sqrt (hypot (/ -1 a) (/ -1 c))) into (sqrt (hypot (/ -1 a) (/ -1 c))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 a) (/ -1 c))))) into 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (sqr (sqrt (hypot (/ 1 (- a)) (/ 1 (- c)))))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (sqr (sqrt (hypot (/ 1 (- a)) (/ 1 (- c))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (hypot (/ 1 (- a)) (/ 1 (- c)))) in a * [misc]taylor: Taking taylor expansion of (hypot (/ 1 (- a)) (/ 1 (- c))) in a * [misc]backup-simplify: Simplify (hypot (/ 1 (- a)) (/ 1 (- c))) into (hypot (/ -1 a) (/ -1 c)) * [misc]backup-simplify: Simplify (sqrt (hypot (/ -1 a) (/ -1 c))) into (sqrt (hypot (/ -1 a) (/ -1 c))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 a) (/ -1 c))))) into 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (sqr (sqrt (hypot (/ 1 (- a)) (/ 1 (- c)))))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (sqr (sqrt (hypot (/ 1 (- a)) (/ 1 (- c))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (hypot (/ 1 (- a)) (/ 1 (- c)))) in a * [misc]taylor: Taking taylor expansion of (hypot (/ 1 (- a)) (/ 1 (- c))) in a * [misc]backup-simplify: Simplify (hypot (/ 1 (- a)) (/ 1 (- c))) into (hypot (/ -1 a) (/ -1 c)) * [misc]backup-simplify: Simplify (sqrt (hypot (/ -1 a) (/ -1 c))) into (sqrt (hypot (/ -1 a) (/ -1 c))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 a) (/ -1 c))))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]taylor: Taking taylor expansion of -1 in c * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (hypot (/ -1 a) (/ -1 c))) (sqrt (hypot (/ -1 a) (/ -1 c)))) into (hypot (/ -1 a) (/ -1 c)) * [misc]backup-simplify: Simplify (+ 0 (hypot (/ -1 a) (/ -1 c))) into (hypot (/ -1 a) (/ -1 c)) * [misc]taylor: Taking taylor expansion of (hypot (/ -1 a) (/ -1 c)) in c * [misc]backup-simplify: Simplify (hypot (/ -1 a) (/ -1 c)) into (hypot (/ -1 a) (/ -1 c)) * [misc]backup-simplify: Simplify (hypot (/ -1 a) (/ -1 c)) into (hypot (/ -1 a) (/ -1 c)) * [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 (- 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 (+ (* (sqrt (hypot (/ -1 a) (/ -1 c))) 0) (* 0 (sqrt (hypot (/ -1 a) (/ -1 c))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 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 (sqr 0) (+)) (* 2 (sqrt (hypot (/ -1 a) (/ -1 c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (hypot (/ -1 a) (/ -1 c))) 0) (+ (* 0 0) (* 0 (sqrt (hypot (/ -1 a) (/ -1 c)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (hypot (/ -1 a) (/ -1 c)) (* -1 (* 1 (/ 1 (/ 1 (- a)))))) into (+ a (hypot (/ -1 a) (/ -1 c))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (hypot a c))) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot a c))) in c * [misc]taylor: Taking taylor expansion of (sqrt (hypot a c)) in c * [misc]taylor: Taking taylor expansion of (hypot a c) in c * [misc]backup-simplify: Simplify (hypot a c) into (hypot a c) * [misc]backup-simplify: Simplify (sqrt (hypot a c)) into (sqrt (hypot a c)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot a c)))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot a c))) in a * [misc]taylor: Taking taylor expansion of (sqrt (hypot a c)) in a * [misc]taylor: Taking taylor expansion of (hypot a c) in a * [misc]backup-simplify: Simplify (hypot a c) into (hypot a c) * [misc]backup-simplify: Simplify (sqrt (hypot a c)) into (sqrt (hypot a c)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot a c)))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot a c))) in a * [misc]taylor: Taking taylor expansion of (sqrt (hypot a c)) in a * [misc]taylor: Taking taylor expansion of (hypot a c) in a * [misc]backup-simplify: Simplify (hypot a c) into (hypot a c) * [misc]backup-simplify: Simplify (sqrt (hypot a c)) into (sqrt (hypot a c)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot a c)))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (hypot a c)) (sqrt (hypot a c))) into (hypot a c) * [misc]taylor: Taking taylor expansion of (hypot a c) in c * [misc]backup-simplify: Simplify (hypot a c) into (hypot a c) * [misc]backup-simplify: Simplify (hypot a c) into (hypot a c) * [misc]backup-simplify: Simplify (+ (* (sqrt (hypot a c)) 0) (* 0 (sqrt (hypot a c)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot a c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (hypot a c)) 0) (+ (* 0 0) (* 0 (sqrt (hypot a c))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (hypot a c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (hypot a c)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (hypot a c)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot a c) into (hypot a c) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (hypot (/ 1 a) (/ 1 c)))) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot (/ 1 a) (/ 1 c)))) in c * [misc]taylor: Taking taylor expansion of (sqrt (hypot (/ 1 a) (/ 1 c))) in c * [misc]taylor: Taking taylor expansion of (hypot (/ 1 a) (/ 1 c)) in c * [misc]backup-simplify: Simplify (hypot (/ 1 a) (/ 1 c)) into (hypot (/ 1 a) (/ 1 c)) * [misc]backup-simplify: Simplify (sqrt (hypot (/ 1 a) (/ 1 c))) into (sqrt (hypot (/ 1 a) (/ 1 c))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 a) (/ 1 c))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot (/ 1 a) (/ 1 c)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (hypot (/ 1 a) (/ 1 c))) in a * [misc]taylor: Taking taylor expansion of (hypot (/ 1 a) (/ 1 c)) in a * [misc]backup-simplify: Simplify (hypot (/ 1 a) (/ 1 c)) into (hypot (/ 1 a) (/ 1 c)) * [misc]backup-simplify: Simplify (sqrt (hypot (/ 1 a) (/ 1 c))) into (sqrt (hypot (/ 1 a) (/ 1 c))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 a) (/ 1 c))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot (/ 1 a) (/ 1 c)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (hypot (/ 1 a) (/ 1 c))) in a * [misc]taylor: Taking taylor expansion of (hypot (/ 1 a) (/ 1 c)) in a * [misc]backup-simplify: Simplify (hypot (/ 1 a) (/ 1 c)) into (hypot (/ 1 a) (/ 1 c)) * [misc]backup-simplify: Simplify (sqrt (hypot (/ 1 a) (/ 1 c))) into (sqrt (hypot (/ 1 a) (/ 1 c))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 a) (/ 1 c))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (hypot (/ 1 a) (/ 1 c))) (sqrt (hypot (/ 1 a) (/ 1 c)))) into (hypot (/ 1 a) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 a) (/ 1 c)) in c * [misc]backup-simplify: Simplify (hypot (/ 1 a) (/ 1 c)) into (hypot (/ 1 a) (/ 1 c)) * [misc]backup-simplify: Simplify (hypot (/ 1 a) (/ 1 c)) into (hypot (/ 1 a) (/ 1 c)) * [misc]backup-simplify: Simplify (+ (* (sqrt (hypot (/ 1 a) (/ 1 c))) 0) (* 0 (sqrt (hypot (/ 1 a) (/ 1 c))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot (/ 1 a) (/ 1 c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (hypot (/ 1 a) (/ 1 c))) 0) (+ (* 0 0) (* 0 (sqrt (hypot (/ 1 a) (/ 1 c)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (hypot (/ 1 a) (/ 1 c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (hypot (/ 1 a) (/ 1 c))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (hypot (/ 1 a) (/ 1 c))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (/ 1 a) (/ 1 c)) into (hypot (/ 1 a) (/ 1 c)) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (hypot (/ 1 (- a)) (/ 1 (- c))))) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot (/ 1 (- a)) (/ 1 (- c))))) in c * [misc]taylor: Taking taylor expansion of (sqrt (hypot (/ 1 (- a)) (/ 1 (- c)))) in c * [misc]taylor: Taking taylor expansion of (hypot (/ 1 (- a)) (/ 1 (- c))) in c * [misc]backup-simplify: Simplify (hypot (/ 1 (- a)) (/ 1 (- c))) into (hypot (/ -1 a) (/ -1 c)) * [misc]backup-simplify: Simplify (sqrt (hypot (/ -1 a) (/ -1 c))) into (sqrt (hypot (/ -1 a) (/ -1 c))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 a) (/ -1 c))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot (/ 1 (- a)) (/ 1 (- c))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (hypot (/ 1 (- a)) (/ 1 (- c)))) in a * [misc]taylor: Taking taylor expansion of (hypot (/ 1 (- a)) (/ 1 (- c))) in a * [misc]backup-simplify: Simplify (hypot (/ 1 (- a)) (/ 1 (- c))) into (hypot (/ -1 a) (/ -1 c)) * [misc]backup-simplify: Simplify (sqrt (hypot (/ -1 a) (/ -1 c))) into (sqrt (hypot (/ -1 a) (/ -1 c))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 a) (/ -1 c))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot (/ 1 (- a)) (/ 1 (- c))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (hypot (/ 1 (- a)) (/ 1 (- c)))) in a * [misc]taylor: Taking taylor expansion of (hypot (/ 1 (- a)) (/ 1 (- c))) in a * [misc]backup-simplify: Simplify (hypot (/ 1 (- a)) (/ 1 (- c))) into (hypot (/ -1 a) (/ -1 c)) * [misc]backup-simplify: Simplify (sqrt (hypot (/ -1 a) (/ -1 c))) into (sqrt (hypot (/ -1 a) (/ -1 c))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 a) (/ -1 c))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (hypot (/ -1 a) (/ -1 c))) (sqrt (hypot (/ -1 a) (/ -1 c)))) into (hypot (/ -1 a) (/ -1 c)) * [misc]taylor: Taking taylor expansion of (hypot (/ -1 a) (/ -1 c)) in c * [misc]backup-simplify: Simplify (hypot (/ -1 a) (/ -1 c)) into (hypot (/ -1 a) (/ -1 c)) * [misc]backup-simplify: Simplify (hypot (/ -1 a) (/ -1 c)) into (hypot (/ -1 a) (/ -1 c)) * [misc]backup-simplify: Simplify (+ (* (sqrt (hypot (/ -1 a) (/ -1 c))) 0) (* 0 (sqrt (hypot (/ -1 a) (/ -1 c))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot (/ -1 a) (/ -1 c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (hypot (/ -1 a) (/ -1 c))) 0) (+ (* 0 0) (* 0 (sqrt (hypot (/ -1 a) (/ -1 c)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (hypot (/ -1 a) (/ -1 c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (hypot (/ -1 a) (/ -1 c))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (hypot (/ -1 a) (/ -1 c))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (/ -1 a) (/ -1 c)) into (hypot (/ -1 a) (/ -1 c)) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 2 2 1 1) * [misc]approximate: Taking taylor expansion of (hypot a c) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (hypot a c) in c * [misc]backup-simplify: Simplify (hypot a c) into (hypot a c) * [misc]taylor: Taking taylor expansion of (hypot a c) in a * [misc]backup-simplify: Simplify (hypot a c) into (hypot a c) * [misc]taylor: Taking taylor expansion of (hypot a c) in a * [misc]backup-simplify: Simplify (hypot a c) into (hypot a c) * [misc]taylor: Taking taylor expansion of (hypot a c) in c * [misc]backup-simplify: Simplify (hypot a c) into (hypot a c) * [misc]backup-simplify: Simplify (hypot a c) into (hypot a c) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot a c) into (hypot a c) * [misc]approximate: Taking taylor expansion of (hypot (/ 1 a) (/ 1 c)) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (hypot (/ 1 a) (/ 1 c)) in c * [misc]backup-simplify: Simplify (hypot (/ 1 a) (/ 1 c)) into (hypot (/ 1 a) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 a) (/ 1 c)) in a * [misc]backup-simplify: Simplify (hypot (/ 1 a) (/ 1 c)) into (hypot (/ 1 a) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 a) (/ 1 c)) in a * [misc]backup-simplify: Simplify (hypot (/ 1 a) (/ 1 c)) into (hypot (/ 1 a) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 a) (/ 1 c)) in c * [misc]backup-simplify: Simplify (hypot (/ 1 a) (/ 1 c)) into (hypot (/ 1 a) (/ 1 c)) * [misc]backup-simplify: Simplify (hypot (/ 1 a) (/ 1 c)) into (hypot (/ 1 a) (/ 1 c)) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (/ 1 a) (/ 1 c)) into (hypot (/ 1 a) (/ 1 c)) * [misc]approximate: Taking taylor expansion of (hypot (/ 1 (- a)) (/ 1 (- c))) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (hypot (/ 1 (- a)) (/ 1 (- c))) in c * [misc]backup-simplify: Simplify (hypot (/ 1 (- a)) (/ 1 (- c))) into (hypot (/ -1 a) (/ -1 c)) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 (- a)) (/ 1 (- c))) in a * [misc]backup-simplify: Simplify (hypot (/ 1 (- a)) (/ 1 (- c))) into (hypot (/ -1 a) (/ -1 c)) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 (- a)) (/ 1 (- c))) in a * [misc]backup-simplify: Simplify (hypot (/ 1 (- a)) (/ 1 (- c))) into (hypot (/ -1 a) (/ -1 c)) * [misc]taylor: Taking taylor expansion of (hypot (/ -1 a) (/ -1 c)) in c * [misc]backup-simplify: Simplify (hypot (/ -1 a) (/ -1 c)) into (hypot (/ -1 a) (/ -1 c)) * [misc]backup-simplify: Simplify (hypot (/ -1 a) (/ -1 c)) into (hypot (/ -1 a) (/ -1 c)) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (/ -1 a) (/ -1 c)) into (hypot (/ -1 a) (/ -1 c)) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 2 2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 2 2 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (hypot (hypot b (tan -1.7821069461122345e-254)) (+ (hypot a c) a)) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (hypot a c))) * * * * [misc]progress: [ 2 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (hypot (hypot b (tan -1.7821069461122345e-254)) (+ (hypot (/ 1 a) (/ 1 c)) a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (hypot (/ 1 a) (/ 1 c)))) * * * * [misc]progress: [ 3 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (hypot (/ -1 a) (/ -1 c)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (hypot (/ -1 a) (/ -1 c)))) * * * * [misc]progress: [ 4 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (hypot a c))) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (hypot a c))) * * * * [misc]progress: [ 5 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (hypot (/ 1 a) (/ 1 c)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (hypot (/ 1 a) (/ 1 c)))) * * * * [misc]progress: [ 6 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (hypot (/ -1 a) (/ -1 c)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (hypot (/ -1 a) (/ -1 c)))) * * * * [misc]progress: [ 7 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (sqr (sqrt (hypot a c))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (hypot a c))) * * * * [misc]progress: [ 8 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (sqr (sqrt (hypot (/ 1 a) (/ 1 c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (hypot (hypot b (tan -1.7821069461122345e-254)) (+ (hypot (/ 1 a) (/ 1 c)) a)) * * * * [misc]progress: [ 9 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (sqr (sqrt (hypot (/ -1 a) (/ -1 c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (hypot (hypot b (tan -1.7821069461122345e-254)) (+ (hypot (/ -1 a) (/ -1 c)) a)) * * * * [misc]progress: [ 10 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ a (sqr (sqrt (hypot a c))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (log (+ (hypot a c) a)) * [exit]simplify: Simplified to (log (+ (hypot a c) a)) * * * * [misc]progress: [ 12 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ a (sqr (sqrt (hypot a c))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (exp (+ (hypot a c) a)) * [exit]simplify: Simplified to (exp (+ (hypot a c) a)) * * * * [misc]progress: [ 13 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ a (sqr (sqrt (hypot a c))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (cbrt (+ (hypot a c) a)) * [exit]simplify: Simplified to (cbrt (+ (hypot a c) a)) * * * * [misc]progress: [ 14 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ a (sqr (sqrt (hypot a c))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (392 enodes) * [exit]simplify: Simplified to (cube (+ (hypot a c) a)) * [exit]simplify: Simplified to (cube (+ (hypot a c) a)) * * * * [misc]progress: [ 15 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ a (sqr (sqrt (hypot a c))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (sqrt (+ (hypot a c) a)) * [exit]simplify: Simplified to (sqrt (+ (hypot a c) a)) * * * * [misc]progress: [ 16 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow a 3) (pow (sqr (sqrt (hypot a c))) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (- (cube a) (cube (hypot a c))) * [exit]simplify: Simplified to (- (cube a) (cube (hypot a c))) * [enter]simplify: Simplifying (+ (sqr a) (- (sqr (sqr (sqrt (hypot a c)))) (* a (sqr (sqrt (hypot a c)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (+ (* (hypot a c) (- (hypot a c) a)) (sqr a)) * [exit]simplify: Simplified to (+ (* (hypot a c) (- (hypot a c) a)) (sqr a)) * * * * [misc]progress: [ 18 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr a) (sqr (sqr (sqrt (hypot a c))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (- (sqr a) (* (hypot a c) (hypot a c))) * [exit]simplify: Simplified to (- (sqr a) (* (hypot a c) (hypot a c))) * [enter]simplify: Simplifying (- a (sqr (sqrt (hypot a c)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (- a (hypot a c)) * [exit]simplify: Simplified to (- a (hypot a c)) * * * * [misc]progress: [ 19 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqr (sqrt (hypot a c)))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (log (hypot a c)) * [exit]simplify: Simplified to (log (hypot a c)) * * * * [misc]progress: [ 23 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqr (sqrt (hypot a c)))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (exp (hypot a c)) * [exit]simplify: Simplified to (exp (hypot a c)) * * * * [misc]progress: [ 24 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqr (sqrt (hypot a c)))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (cbrt (hypot a c)) * [exit]simplify: Simplified to (cbrt (hypot a c)) * * * * [misc]progress: [ 25 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (sqrt (hypot a c)))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (cube (hypot a c)) * [exit]simplify: Simplified to (cube (hypot a c)) * * * * [misc]progress: [ 26 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr (sqrt (hypot a c)))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (sqrt (hypot a c)) * [exit]simplify: Simplified to (sqrt (hypot a c)) * * * * [misc]progress: [ 27 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (sqr (sqrt (hypot a c))) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (hypot a c) * [exit]simplify: Simplified to (hypot a c) * * * * [misc]progress: [ 28 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqr 1) * [exit]simplify: Simplified to (sqr 1) * [enter]simplify: Simplifying (sqr (sqrt (hypot a c))) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (hypot a c) * [exit]simplify: Simplified to (hypot a c) * * * * [misc]progress: [ 29 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (log (hypot a c)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (log (hypot a c)) * [exit]simplify: Simplified to (log (hypot a c)) * * * * [misc]progress: [ 33 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (hypot a c)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (exp (hypot a c)) * [exit]simplify: Simplified to (exp (hypot a c)) * * * * [misc]progress: [ 34 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (hypot a c)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (cbrt (hypot a c)) * [exit]simplify: Simplified to (cbrt (hypot a c)) * * * * [misc]progress: [ 35 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (hypot a c)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (cube (hypot a c)) * [exit]simplify: Simplified to (cube (hypot a c)) * * * * [misc]progress: [ 36 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (hypot a c)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (sqrt (hypot a c)) * [exit]simplify: Simplified to (sqrt (hypot a c)) * * * * [misc]progress: [ 37 / 37 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (+ a (cube (cbrt (hypot a c)))) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (+ a (cube (cbrt (hypot a c)))) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (cube (cbrt (hypot a c))) in c * [misc]backup-simplify: Simplify (cube (cbrt (hypot a c))) into (hypot a c) * [misc]taylor: Taking taylor expansion of (+ a (cube (cbrt (hypot a c)))) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cube (cbrt (hypot a c))) in a * [misc]backup-simplify: Simplify (cube (cbrt (hypot a c))) into (hypot a c) * [misc]taylor: Taking taylor expansion of (+ a (cube (cbrt (hypot a c)))) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cube (cbrt (hypot a c))) in a * [misc]backup-simplify: Simplify (cube (cbrt (hypot a c))) into (hypot a c) * [misc]backup-simplify: Simplify (+ 0 (hypot a c)) into (hypot a c) * [misc]taylor: Taking taylor expansion of (hypot a c) in c * [misc]backup-simplify: Simplify (hypot a c) into (hypot a c) * [misc]backup-simplify: Simplify (hypot a c) into (hypot a c) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in c * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 a)) (hypot a c)) into (+ (hypot a c) a) * [misc]approximate: Taking taylor expansion of (+ (/ 1 a) (cube (cbrt (hypot (/ 1 a) (/ 1 c))))) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (cube (cbrt (hypot (/ 1 a) (/ 1 c))))) in c * [misc]taylor: Taking taylor expansion of (/ 1 a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (cube (cbrt (hypot (/ 1 a) (/ 1 c)))) in c * [misc]backup-simplify: Simplify (cube (cbrt (hypot (/ 1 a) (/ 1 c)))) into (hypot (/ 1 a) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (cube (cbrt (hypot (/ 1 a) (/ 1 c))))) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (cube (cbrt (hypot (/ 1 a) (/ 1 c)))) in a * [misc]backup-simplify: Simplify (cube (cbrt (hypot (/ 1 a) (/ 1 c)))) into (hypot (/ 1 a) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (cube (cbrt (hypot (/ 1 a) (/ 1 c))))) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (cube (cbrt (hypot (/ 1 a) (/ 1 c)))) in a * [misc]backup-simplify: Simplify (cube (cbrt (hypot (/ 1 a) (/ 1 c)))) into (hypot (/ 1 a) (/ 1 c)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in c * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (hypot (/ 1 a) (/ 1 c))) into (hypot (/ 1 a) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 a) (/ 1 c)) in c * [misc]backup-simplify: Simplify (hypot (/ 1 a) (/ 1 c)) into (hypot (/ 1 a) (/ 1 c)) * [misc]backup-simplify: Simplify (hypot (/ 1 a) (/ 1 c)) into (hypot (/ 1 a) (/ 1 c)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 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]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (hypot (/ 1 a) (/ 1 c)) (* 1 (* 1 (/ 1 (/ 1 a))))) into (+ (hypot (/ 1 a) (/ 1 c)) a) * [misc]approximate: Taking taylor expansion of (+ (/ 1 (- a)) (cube (cbrt (hypot (/ 1 (- a)) (/ 1 (- c)))))) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (cube (cbrt (hypot (/ 1 (- a)) (/ 1 (- c)))))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in c * [misc]taylor: Taking taylor expansion of (- a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (cube (cbrt (hypot (/ 1 (- a)) (/ 1 (- c))))) in c * [misc]backup-simplify: Simplify (cube (cbrt (hypot (/ 1 (- a)) (/ 1 (- c))))) into (hypot (/ -1 a) (/ -1 c)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (cube (cbrt (hypot (/ 1 (- a)) (/ 1 (- c)))))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (cube (cbrt (hypot (/ 1 (- a)) (/ 1 (- c))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (hypot (/ 1 (- a)) (/ 1 (- c))))) into (hypot (/ -1 a) (/ -1 c)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (cube (cbrt (hypot (/ 1 (- a)) (/ 1 (- c)))))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (cube (cbrt (hypot (/ 1 (- a)) (/ 1 (- c))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (hypot (/ 1 (- a)) (/ 1 (- c))))) into (hypot (/ -1 a) (/ -1 c)) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]taylor: Taking taylor expansion of -1 in c * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (hypot (/ -1 a) (/ -1 c))) into (hypot (/ -1 a) (/ -1 c)) * [misc]taylor: Taking taylor expansion of (hypot (/ -1 a) (/ -1 c)) in c * [misc]backup-simplify: Simplify (hypot (/ -1 a) (/ -1 c)) into (hypot (/ -1 a) (/ -1 c)) * [misc]backup-simplify: Simplify (hypot (/ -1 a) (/ -1 c)) into (hypot (/ -1 a) (/ -1 c)) * [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 (- 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]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 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]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (hypot (/ -1 a) (/ -1 c)) (* -1 (* 1 (/ 1 (/ 1 (- a)))))) into (+ a (hypot (/ -1 a) (/ -1 c))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (cube (cbrt (hypot a c))) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (hypot a c))) in c * [misc]backup-simplify: Simplify (cube (cbrt (hypot a c))) into (hypot a c) * [misc]taylor: Taking taylor expansion of (cube (cbrt (hypot a c))) in a * [misc]backup-simplify: Simplify (cube (cbrt (hypot a c))) into (hypot a c) * [misc]taylor: Taking taylor expansion of (cube (cbrt (hypot a c))) in a * [misc]backup-simplify: Simplify (cube (cbrt (hypot a c))) into (hypot a c) * [misc]taylor: Taking taylor expansion of (hypot a c) in c * [misc]backup-simplify: Simplify (hypot a c) into (hypot a c) * [misc]backup-simplify: Simplify (hypot a c) into (hypot a c) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot a c) into (hypot a c) * [misc]approximate: Taking taylor expansion of (cube (cbrt (hypot (/ 1 a) (/ 1 c)))) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (hypot (/ 1 a) (/ 1 c)))) in c * [misc]backup-simplify: Simplify (cube (cbrt (hypot (/ 1 a) (/ 1 c)))) into (hypot (/ 1 a) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (cube (cbrt (hypot (/ 1 a) (/ 1 c)))) in a * [misc]backup-simplify: Simplify (cube (cbrt (hypot (/ 1 a) (/ 1 c)))) into (hypot (/ 1 a) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (cube (cbrt (hypot (/ 1 a) (/ 1 c)))) in a * [misc]backup-simplify: Simplify (cube (cbrt (hypot (/ 1 a) (/ 1 c)))) into (hypot (/ 1 a) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 a) (/ 1 c)) in c * [misc]backup-simplify: Simplify (hypot (/ 1 a) (/ 1 c)) into (hypot (/ 1 a) (/ 1 c)) * [misc]backup-simplify: Simplify (hypot (/ 1 a) (/ 1 c)) into (hypot (/ 1 a) (/ 1 c)) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (/ 1 a) (/ 1 c)) into (hypot (/ 1 a) (/ 1 c)) * [misc]approximate: Taking taylor expansion of (cube (cbrt (hypot (/ 1 (- a)) (/ 1 (- c))))) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (hypot (/ 1 (- a)) (/ 1 (- c))))) in c * [misc]backup-simplify: Simplify (cube (cbrt (hypot (/ 1 (- a)) (/ 1 (- c))))) into (hypot (/ -1 a) (/ -1 c)) * [misc]taylor: Taking taylor expansion of (cube (cbrt (hypot (/ 1 (- a)) (/ 1 (- c))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (hypot (/ 1 (- a)) (/ 1 (- c))))) into (hypot (/ -1 a) (/ -1 c)) * [misc]taylor: Taking taylor expansion of (cube (cbrt (hypot (/ 1 (- a)) (/ 1 (- c))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (hypot (/ 1 (- a)) (/ 1 (- c))))) into (hypot (/ -1 a) (/ -1 c)) * [misc]taylor: Taking taylor expansion of (hypot (/ -1 a) (/ -1 c)) in c * [misc]backup-simplify: Simplify (hypot (/ -1 a) (/ -1 c)) into (hypot (/ -1 a) (/ -1 c)) * [misc]backup-simplify: Simplify (hypot (/ -1 a) (/ -1 c)) into (hypot (/ -1 a) (/ -1 c)) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (/ -1 a) (/ -1 c)) into (hypot (/ -1 a) (/ -1 c)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2 1) * [misc]approximate: Taking taylor expansion of (cbrt (hypot a c)) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (hypot a c)) in c * [misc]backup-simplify: Simplify (cbrt (hypot a c)) into (cbrt (hypot a c)) * [misc]taylor: Taking taylor expansion of (cbrt (hypot a c)) in a * [misc]backup-simplify: Simplify (cbrt (hypot a c)) into (cbrt (hypot a c)) * [misc]taylor: Taking taylor expansion of (cbrt (hypot a c)) in a * [misc]backup-simplify: Simplify (cbrt (hypot a c)) into (cbrt (hypot a c)) * [misc]taylor: Taking taylor expansion of (cbrt (hypot a c)) in c * [misc]backup-simplify: Simplify (cbrt (hypot a c)) into (cbrt (hypot a c)) * [misc]backup-simplify: Simplify (cbrt (hypot a c)) into (cbrt (hypot a c)) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (hypot a c)) into (cbrt (hypot a c)) * [misc]approximate: Taking taylor expansion of (cbrt (hypot (/ 1 a) (/ 1 c))) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (hypot (/ 1 a) (/ 1 c))) in c * [misc]backup-simplify: Simplify (cbrt (hypot (/ 1 a) (/ 1 c))) into (cbrt (hypot (/ 1 a) (/ 1 c))) * [misc]taylor: Taking taylor expansion of (cbrt (hypot (/ 1 a) (/ 1 c))) in a * [misc]backup-simplify: Simplify (cbrt (hypot (/ 1 a) (/ 1 c))) into (cbrt (hypot (/ 1 a) (/ 1 c))) * [misc]taylor: Taking taylor expansion of (cbrt (hypot (/ 1 a) (/ 1 c))) in a * [misc]backup-simplify: Simplify (cbrt (hypot (/ 1 a) (/ 1 c))) into (cbrt (hypot (/ 1 a) (/ 1 c))) * [misc]taylor: Taking taylor expansion of (cbrt (hypot (/ 1 a) (/ 1 c))) in c * [misc]backup-simplify: Simplify (cbrt (hypot (/ 1 a) (/ 1 c))) into (cbrt (hypot (/ 1 a) (/ 1 c))) * [misc]backup-simplify: Simplify (cbrt (hypot (/ 1 a) (/ 1 c))) into (cbrt (hypot (/ 1 a) (/ 1 c))) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (hypot (/ 1 a) (/ 1 c))) into (cbrt (hypot (/ 1 a) (/ 1 c))) * [misc]approximate: Taking taylor expansion of (cbrt (hypot (/ 1 (- a)) (/ 1 (- c)))) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (hypot (/ 1 (- a)) (/ 1 (- c)))) in c * [misc]backup-simplify: Simplify (cbrt (hypot (/ 1 (- a)) (/ 1 (- c)))) into (cbrt (hypot (/ -1 a) (/ -1 c))) * [misc]taylor: Taking taylor expansion of (cbrt (hypot (/ 1 (- a)) (/ 1 (- c)))) in a * [misc]backup-simplify: Simplify (cbrt (hypot (/ 1 (- a)) (/ 1 (- c)))) into (cbrt (hypot (/ -1 a) (/ -1 c))) * [misc]taylor: Taking taylor expansion of (cbrt (hypot (/ 1 (- a)) (/ 1 (- c)))) in a * [misc]backup-simplify: Simplify (cbrt (hypot (/ 1 (- a)) (/ 1 (- c)))) into (cbrt (hypot (/ -1 a) (/ -1 c))) * [misc]taylor: Taking taylor expansion of (cbrt (hypot (/ -1 a) (/ -1 c))) in c * [misc]backup-simplify: Simplify (cbrt (hypot (/ -1 a) (/ -1 c))) into (cbrt (hypot (/ -1 a) (/ -1 c))) * [misc]backup-simplify: Simplify (cbrt (hypot (/ -1 a) (/ -1 c))) into (cbrt (hypot (/ -1 a) (/ -1 c))) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (hypot (/ -1 a) (/ -1 c))) into (cbrt (hypot (/ -1 a) (/ -1 c))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1 1) * [misc]approximate: Taking taylor expansion of (hypot a c) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (hypot a c) in c * [misc]backup-simplify: Simplify (hypot a c) into (hypot a c) * [misc]taylor: Taking taylor expansion of (hypot a c) in a * [misc]backup-simplify: Simplify (hypot a c) into (hypot a c) * [misc]taylor: Taking taylor expansion of (hypot a c) in a * [misc]backup-simplify: Simplify (hypot a c) into (hypot a c) * [misc]taylor: Taking taylor expansion of (hypot a c) in c * [misc]backup-simplify: Simplify (hypot a c) into (hypot a c) * [misc]backup-simplify: Simplify (hypot a c) into (hypot a c) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot a c) into (hypot a c) * [misc]approximate: Taking taylor expansion of (hypot (/ 1 a) (/ 1 c)) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (hypot (/ 1 a) (/ 1 c)) in c * [misc]backup-simplify: Simplify (hypot (/ 1 a) (/ 1 c)) into (hypot (/ 1 a) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 a) (/ 1 c)) in a * [misc]backup-simplify: Simplify (hypot (/ 1 a) (/ 1 c)) into (hypot (/ 1 a) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 a) (/ 1 c)) in a * [misc]backup-simplify: Simplify (hypot (/ 1 a) (/ 1 c)) into (hypot (/ 1 a) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 a) (/ 1 c)) in c * [misc]backup-simplify: Simplify (hypot (/ 1 a) (/ 1 c)) into (hypot (/ 1 a) (/ 1 c)) * [misc]backup-simplify: Simplify (hypot (/ 1 a) (/ 1 c)) into (hypot (/ 1 a) (/ 1 c)) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (/ 1 a) (/ 1 c)) into (hypot (/ 1 a) (/ 1 c)) * [misc]approximate: Taking taylor expansion of (hypot (/ 1 (- a)) (/ 1 (- c))) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (hypot (/ 1 (- a)) (/ 1 (- c))) in c * [misc]backup-simplify: Simplify (hypot (/ 1 (- a)) (/ 1 (- c))) into (hypot (/ -1 a) (/ -1 c)) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 (- a)) (/ 1 (- c))) in a * [misc]backup-simplify: Simplify (hypot (/ 1 (- a)) (/ 1 (- c))) into (hypot (/ -1 a) (/ -1 c)) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 (- a)) (/ 1 (- c))) in a * [misc]backup-simplify: Simplify (hypot (/ 1 (- a)) (/ 1 (- c))) into (hypot (/ -1 a) (/ -1 c)) * [misc]taylor: Taking taylor expansion of (hypot (/ -1 a) (/ -1 c)) in c * [misc]backup-simplify: Simplify (hypot (/ -1 a) (/ -1 c)) into (hypot (/ -1 a) (/ -1 c)) * [misc]backup-simplify: Simplify (hypot (/ -1 a) (/ -1 c)) into (hypot (/ -1 a) (/ -1 c)) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (/ -1 a) (/ -1 c)) into (hypot (/ -1 a) (/ -1 c)) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (hypot (hypot b (tan -1.7821069461122345e-254)) (+ (hypot a c) a)) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (hypot a c))) * * * * [misc]progress: [ 2 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (hypot (hypot b (tan -1.7821069461122345e-254)) (+ (hypot (/ 1 a) (/ 1 c)) a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (hypot (/ 1 a) (/ 1 c)))) * * * * [misc]progress: [ 3 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (hypot (/ -1 a) (/ -1 c)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (hypot (/ -1 a) (/ -1 c)))) * * * * [misc]progress: [ 4 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (hypot a c))) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (hypot a c))) * * * * [misc]progress: [ 5 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (hypot (/ 1 a) (/ 1 c)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (hypot (/ 1 a) (/ 1 c)))) * * * * [misc]progress: [ 6 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (hypot (/ -1 a) (/ -1 c)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (hypot (/ -1 a) (/ -1 c)))) * * * * [misc]progress: [ 7 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (cube (cbrt (hypot a c))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (hypot a c))) * * * * [misc]progress: [ 8 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (cube (cbrt (hypot (/ 1 a) (/ 1 c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (hypot (hypot b (tan -1.7821069461122345e-254)) (+ (hypot (/ 1 a) (/ 1 c)) a)) * * * * [misc]progress: [ 9 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (cube (cbrt (hypot (/ -1 a) (/ -1 c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (hypot (hypot b (tan -1.7821069461122345e-254)) (+ (hypot (/ -1 a) (/ -1 c)) a)) * * * * [misc]progress: [ 10 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (cube (cbrt (hypot a c))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (hypot a c))) * * * * [misc]progress: [ 11 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (cube (cbrt (hypot (/ 1 a) (/ 1 c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (hypot (hypot b (tan -1.7821069461122345e-254)) (+ (hypot (/ 1 a) (/ 1 c)) a)) * * * * [misc]progress: [ 12 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (cube (cbrt (hypot (/ -1 a) (/ -1 c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (hypot (hypot b (tan -1.7821069461122345e-254)) (+ (hypot (/ -1 a) (/ -1 c)) a)) * * * * [misc]progress: [ 13 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ a (cube (cbrt (hypot a c))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (log (+ (hypot a c) a)) * [exit]simplify: Simplified to (log (+ (hypot a c) a)) * * * * [misc]progress: [ 15 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ a (cube (cbrt (hypot a c))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (exp (+ (hypot a c) a)) * [exit]simplify: Simplified to (exp (+ (hypot a c) a)) * * * * [misc]progress: [ 16 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ a (cube (cbrt (hypot a c))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (cbrt (+ (hypot a c) a)) * [exit]simplify: Simplified to (cbrt (+ (hypot a c) a)) * * * * [misc]progress: [ 17 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ a (cube (cbrt (hypot a c))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (442 enodes) * [exit]simplify: Simplified to (cube (+ (hypot a c) a)) * [exit]simplify: Simplified to (cube (+ (hypot a c) a)) * * * * [misc]progress: [ 18 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ a (cube (cbrt (hypot a c))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (+ (hypot a c) a)) * [exit]simplify: Simplified to (sqrt (+ (hypot a c) a)) * * * * [misc]progress: [ 19 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow a 3) (pow (cube (cbrt (hypot a c))) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (- (cube a) (cube (hypot a c))) * [exit]simplify: Simplified to (- (cube a) (cube (hypot a c))) * [enter]simplify: Simplifying (+ (sqr a) (- (sqr (cube (cbrt (hypot a c)))) (* a (cube (cbrt (hypot a c)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (+ (* (- (hypot a c) a) (hypot a c)) (sqr a)) * [exit]simplify: Simplified to (+ (* (- (hypot a c) a) (hypot a c)) (sqr a)) * * * * [misc]progress: [ 21 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr a) (sqr (cube (cbrt (hypot a c))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (- (sqr a) (* (hypot a c) (hypot a c))) * [exit]simplify: Simplified to (- (sqr a) (* (hypot a c) (hypot a c))) * [enter]simplify: Simplifying (- a (cube (cbrt (hypot a c)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (- a (hypot a c)) * [exit]simplify: Simplified to (- a (hypot a c)) * * * * [misc]progress: [ 22 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cube (cbrt (hypot a c)))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (log (hypot a c)) * [exit]simplify: Simplified to (log (hypot a c)) * * * * [misc]progress: [ 26 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cube (cbrt (hypot a c)))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (exp (hypot a c)) * [exit]simplify: Simplified to (exp (hypot a c)) * * * * [misc]progress: [ 27 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (cbrt (hypot a c)))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (cbrt (hypot a c)) * [exit]simplify: Simplified to (cbrt (hypot a c)) * * * * [misc]progress: [ 28 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cube (cbrt (hypot a c)))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (cube (hypot a c)) * [exit]simplify: Simplified to (cube (hypot a c)) * * * * [misc]progress: [ 29 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cube (cbrt (hypot a c))) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (hypot a c) * [exit]simplify: Simplified to (hypot a c) * * * * [misc]progress: [ 30 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (cube 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cube 1) * [exit]simplify: Simplified to (cube 1) * [enter]simplify: Simplifying (cube (cbrt (hypot a c))) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (hypot a c) * [exit]simplify: Simplified to (hypot a c) * * * * [misc]progress: [ 31 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (hypot a c)) (cbrt (hypot a c))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (hypot a c)) (cbrt (hypot a c))) * [exit]simplify: Simplified to (* (cbrt (hypot a c)) (cbrt (hypot a c))) * * * * [misc]progress: [ 32 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (cbrt (hypot a c)))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (sqrt (hypot a c)) * [exit]simplify: Simplified to (sqrt (hypot a c)) * * * * [misc]progress: [ 33 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (hypot a c))) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (log (cbrt (hypot a c))) * [exit]simplify: Simplified to (log (cbrt (hypot a c))) * * * * [misc]progress: [ 37 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (hypot a c))) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (exp (cbrt (hypot a c))) * [exit]simplify: Simplified to (exp (cbrt (hypot a c))) * * * * [misc]progress: [ 38 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (hypot a c)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (cbrt (hypot a c)) * [exit]simplify: Simplified to (cbrt (hypot a c)) * * * * [misc]progress: [ 39 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (hypot a c))) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (hypot a c))) * [exit]simplify: Simplified to (cbrt (cbrt (hypot a c))) * * * * [misc]progress: [ 40 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (hypot a c))) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (hypot a c) * [exit]simplify: Simplified to (hypot a c) * * * * [misc]progress: [ 41 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (hypot a c))) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (hypot a c))) * [exit]simplify: Simplified to (sqrt (cbrt (hypot a c))) * * * * [misc]progress: [ 42 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (log (hypot a c)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (log (hypot a c)) * [exit]simplify: Simplified to (log (hypot a c)) * * * * [misc]progress: [ 45 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (hypot a c)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (exp (hypot a c)) * [exit]simplify: Simplified to (exp (hypot a c)) * * * * [misc]progress: [ 46 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (hypot a c)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (cbrt (hypot a c)) * [exit]simplify: Simplified to (cbrt (hypot a c)) * * * * [misc]progress: [ 47 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (hypot a c)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (cube (hypot a c)) * [exit]simplify: Simplified to (cube (hypot a c)) * * * * [misc]progress: [ 48 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (hypot a c)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (sqrt (hypot a c)) * [exit]simplify: Simplified to (sqrt (hypot a c)) * * * * [misc]progress: [ 49 / 49 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * [enter]simplify: Simplifying (log (hypot a c)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (log (hypot a c)) * [exit]simplify: Simplified to (log (hypot a c)) * [enter]simplify: Simplifying (cbrt (hypot a c)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (cbrt (hypot a c)) * [exit]simplify: Simplified to (cbrt (hypot a c)) * [enter]simplify: Simplifying (sqrt (hypot a c)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (sqrt (hypot a c)) * [exit]simplify: Simplified to (sqrt (hypot a c)) * [enter]simplify: Simplifying (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (hypot a c))) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (hypot a c)))