* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (- (exp (* a x)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (expm1 (* x a)) * [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 / 1 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (expm1 (* x a)) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in a * [misc]backup-simplify: Simplify (expm1 (* x a)) into (expm1 (* a x)) * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in x * [misc]backup-simplify: Simplify (expm1 (* x a)) into (expm1 (* a x)) * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in x * [misc]backup-simplify: Simplify (expm1 (* x a)) into (expm1 (* a x)) * [misc]taylor: Taking taylor expansion of (expm1 (* a x)) in a * [misc]backup-simplify: Simplify (expm1 (* a x)) into (expm1 (* a x)) * [misc]backup-simplify: Simplify (expm1 (* a x)) into (expm1 (* a x)) * [misc]taylor: Taking taylor expansion of 0 in a * [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 a * [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 a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (expm1 (* a x)) into (expm1 (* a x)) * [misc]approximate: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in a * [misc]backup-simplify: Simplify (expm1 (* (/ 1 x) (/ 1 a))) into (expm1 (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 x) (/ 1 a))) into (expm1 (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 x) (/ 1 a))) into (expm1 (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (* a x))) in a * [misc]backup-simplify: Simplify (expm1 (/ 1 (* a x))) into (expm1 (/ 1 (* a x))) * [misc]backup-simplify: Simplify (expm1 (/ 1 (* a x))) into (expm1 (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 0 in a * [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 a * [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 a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (expm1 (/ 1 (* a x))) into (expm1 (/ 1 (* a x))) * [misc]approximate: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]backup-simplify: Simplify (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) into (expm1 (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) into (expm1 (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) into (expm1 (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (* a x))) in a * [misc]backup-simplify: Simplify (expm1 (/ 1 (* a x))) into (expm1 (/ 1 (* a x))) * [misc]backup-simplify: Simplify (expm1 (/ 1 (* a x))) into (expm1 (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 0 in a * [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 a * [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 a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (expm1 (/ 1 (* a x))) into (expm1 (/ 1 (* a x))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* a x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (expm1 (* x a)) * * * * [misc]progress: [ 2 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ 1 (* a x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (expm1 (/ 1 (* a x))) * * * * [misc]progress: [ 3 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ 1 (* a x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (expm1 (/ 1 (* a x))) * * * * [misc]progress: [ 4 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* x a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (exp (* a x)) * [exit]simplify: Simplified to (exp (* a x)) * * * * [misc]progress: [ 5 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (expm1 (expm1 (* a x))) * [exit]simplify: Simplified to (expm1 (expm1 (* a x))) * * * * [misc]progress: [ 6 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* a x) * [exit]simplify: Simplified to (* a x) * * * * [misc]progress: [ 7 / 13 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (log (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (expm1 (* a x))) * [exit]simplify: Simplified to (log (expm1 (* a x))) * * * * [misc]progress: [ 9 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (expm1 (* a x))) * [exit]simplify: Simplified to (exp (expm1 (* a x))) * * * * [misc]progress: [ 10 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (expm1 (* a x))) * [exit]simplify: Simplified to (cbrt (expm1 (* a x))) * * * * [misc]progress: [ 11 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (cube (expm1 (* a x))) * [exit]simplify: Simplified to (cube (expm1 (* a x))) * * * * [misc]progress: [ 12 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * * * * [misc]progress: [ 13 / 13 ] 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) * [misc]approximate: Taking taylor expansion of (cbrt (cube (expm1 (* x a)))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cube (expm1 (* x a)))) in a * [misc]backup-simplify: Simplify (cbrt (cube (expm1 (* x a)))) into (expm1 (* a x)) * [misc]taylor: Taking taylor expansion of (cbrt (cube (expm1 (* x a)))) in x * [misc]backup-simplify: Simplify (cbrt (cube (expm1 (* x a)))) into (expm1 (* a x)) * [misc]taylor: Taking taylor expansion of (cbrt (cube (expm1 (* x a)))) in x * [misc]backup-simplify: Simplify (cbrt (cube (expm1 (* x a)))) into (expm1 (* a x)) * [misc]taylor: Taking taylor expansion of (expm1 (* a x)) in a * [misc]backup-simplify: Simplify (expm1 (* a x)) into (expm1 (* a x)) * [misc]backup-simplify: Simplify (expm1 (* a x)) into (expm1 (* a x)) * [misc]taylor: Taking taylor expansion of 0 in a * [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 a * [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 a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (expm1 (* a x)) into (expm1 (* a x)) * [misc]approximate: Taking taylor expansion of (cbrt (cube (expm1 (* (/ 1 x) (/ 1 a))))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cube (expm1 (* (/ 1 x) (/ 1 a))))) in a * [misc]backup-simplify: Simplify (cbrt (cube (expm1 (* (/ 1 x) (/ 1 a))))) into (expm1 (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (cbrt (cube (expm1 (* (/ 1 x) (/ 1 a))))) in x * [misc]backup-simplify: Simplify (cbrt (cube (expm1 (* (/ 1 x) (/ 1 a))))) into (expm1 (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (cbrt (cube (expm1 (* (/ 1 x) (/ 1 a))))) in x * [misc]backup-simplify: Simplify (cbrt (cube (expm1 (* (/ 1 x) (/ 1 a))))) into (expm1 (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (* a x))) in a * [misc]backup-simplify: Simplify (expm1 (/ 1 (* a x))) into (expm1 (/ 1 (* a x))) * [misc]backup-simplify: Simplify (expm1 (/ 1 (* a x))) into (expm1 (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 0 in a * [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 a * [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 a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (expm1 (/ 1 (* a x))) into (expm1 (/ 1 (* a x))) * [misc]approximate: Taking taylor expansion of (cbrt (cube (expm1 (* (/ 1 (- x)) (/ 1 (- a)))))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cube (expm1 (* (/ 1 (- x)) (/ 1 (- a)))))) in a * [misc]backup-simplify: Simplify (cbrt (cube (expm1 (* (/ 1 (- x)) (/ 1 (- a)))))) into (expm1 (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (cbrt (cube (expm1 (* (/ 1 (- x)) (/ 1 (- a)))))) in x * [misc]backup-simplify: Simplify (cbrt (cube (expm1 (* (/ 1 (- x)) (/ 1 (- a)))))) into (expm1 (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (cbrt (cube (expm1 (* (/ 1 (- x)) (/ 1 (- a)))))) in x * [misc]backup-simplify: Simplify (cbrt (cube (expm1 (* (/ 1 (- x)) (/ 1 (- a)))))) into (expm1 (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (* a x))) in a * [misc]backup-simplify: Simplify (expm1 (/ 1 (* a x))) into (expm1 (/ 1 (* a x))) * [misc]backup-simplify: Simplify (expm1 (/ 1 (* a x))) into (expm1 (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 0 in a * [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 a * [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 a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (expm1 (/ 1 (* a x))) into (expm1 (/ 1 (* a x))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cube (expm1 (* x a))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (cube (expm1 (* x a))) in a * [misc]backup-simplify: Simplify (cube (expm1 (* x a))) into (cube (expm1 (* a x))) * [misc]taylor: Taking taylor expansion of (cube (expm1 (* x a))) in x * [misc]backup-simplify: Simplify (cube (expm1 (* x a))) into (cube (expm1 (* a x))) * [misc]taylor: Taking taylor expansion of (cube (expm1 (* x a))) in x * [misc]backup-simplify: Simplify (cube (expm1 (* x a))) into (cube (expm1 (* a x))) * [misc]taylor: Taking taylor expansion of (cube (expm1 (* a x))) in a * [misc]backup-simplify: Simplify (cube (expm1 (* a x))) into (cube (expm1 (* a x))) * [misc]backup-simplify: Simplify (cube (expm1 (* a x))) into (cube (expm1 (* a x))) * [misc]taylor: Taking taylor expansion of 0 in a * [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 a * [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 a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cube (expm1 (* a x))) into (cube (expm1 (* a x))) * [misc]approximate: Taking taylor expansion of (cube (expm1 (* (/ 1 x) (/ 1 a)))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (cube (expm1 (* (/ 1 x) (/ 1 a)))) in a * [misc]backup-simplify: Simplify (cube (expm1 (* (/ 1 x) (/ 1 a)))) into (cube (expm1 (/ 1 (* a x)))) * [misc]taylor: Taking taylor expansion of (cube (expm1 (* (/ 1 x) (/ 1 a)))) in x * [misc]backup-simplify: Simplify (cube (expm1 (* (/ 1 x) (/ 1 a)))) into (cube (expm1 (/ 1 (* a x)))) * [misc]taylor: Taking taylor expansion of (cube (expm1 (* (/ 1 x) (/ 1 a)))) in x * [misc]backup-simplify: Simplify (cube (expm1 (* (/ 1 x) (/ 1 a)))) into (cube (expm1 (/ 1 (* a x)))) * [misc]taylor: Taking taylor expansion of (cube (expm1 (/ 1 (* a x)))) in a * [misc]backup-simplify: Simplify (cube (expm1 (/ 1 (* a x)))) into (cube (expm1 (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (cube (expm1 (/ 1 (* a x)))) into (cube (expm1 (/ 1 (* a x)))) * [misc]taylor: Taking taylor expansion of 0 in a * [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 a * [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 a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cube (expm1 (/ 1 (* a x)))) into (cube (expm1 (/ 1 (* a x)))) * [misc]approximate: Taking taylor expansion of (cube (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (cube (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in a * [misc]backup-simplify: Simplify (cube (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) into (cube (expm1 (/ 1 (* a x)))) * [misc]taylor: Taking taylor expansion of (cube (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in x * [misc]backup-simplify: Simplify (cube (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) into (cube (expm1 (/ 1 (* a x)))) * [misc]taylor: Taking taylor expansion of (cube (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in x * [misc]backup-simplify: Simplify (cube (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) into (cube (expm1 (/ 1 (* a x)))) * [misc]taylor: Taking taylor expansion of (cube (expm1 (/ 1 (* a x)))) in a * [misc]backup-simplify: Simplify (cube (expm1 (/ 1 (* a x)))) into (cube (expm1 (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (cube (expm1 (/ 1 (* a x)))) into (cube (expm1 (/ 1 (* a x)))) * [misc]taylor: Taking taylor expansion of 0 in a * [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 a * [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 a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cube (expm1 (/ 1 (* a x)))) into (cube (expm1 (/ 1 (* a x)))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (expm1 (* x a)) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in a * [misc]backup-simplify: Simplify (expm1 (* x a)) into (expm1 (* a x)) * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in x * [misc]backup-simplify: Simplify (expm1 (* x a)) into (expm1 (* a x)) * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in x * [misc]backup-simplify: Simplify (expm1 (* x a)) into (expm1 (* a x)) * [misc]taylor: Taking taylor expansion of (expm1 (* a x)) in a * [misc]backup-simplify: Simplify (expm1 (* a x)) into (expm1 (* a x)) * [misc]backup-simplify: Simplify (expm1 (* a x)) into (expm1 (* a x)) * [misc]taylor: Taking taylor expansion of 0 in a * [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 a * [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 a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (expm1 (* a x)) into (expm1 (* a x)) * [misc]approximate: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in a * [misc]backup-simplify: Simplify (expm1 (* (/ 1 x) (/ 1 a))) into (expm1 (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 x) (/ 1 a))) into (expm1 (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 x) (/ 1 a))) into (expm1 (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (* a x))) in a * [misc]backup-simplify: Simplify (expm1 (/ 1 (* a x))) into (expm1 (/ 1 (* a x))) * [misc]backup-simplify: Simplify (expm1 (/ 1 (* a x))) into (expm1 (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 0 in a * [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 a * [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 a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (expm1 (/ 1 (* a x))) into (expm1 (/ 1 (* a x))) * [misc]approximate: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]backup-simplify: Simplify (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) into (expm1 (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) into (expm1 (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) into (expm1 (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (* a x))) in a * [misc]backup-simplify: Simplify (expm1 (/ 1 (* a x))) into (expm1 (/ 1 (* a x))) * [misc]backup-simplify: Simplify (expm1 (/ 1 (* a x))) into (expm1 (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 0 in a * [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 a * [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 a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (expm1 (/ 1 (* a x))) into (expm1 (/ 1 (* a x))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* a x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (expm1 (* x a)) * * * * [misc]progress: [ 2 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ 1 (* a x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (expm1 (/ 1 (* a x))) * * * * [misc]progress: [ 3 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ 1 (* a x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (expm1 (/ 1 (* a x))) * * * * [misc]progress: [ 4 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (expm1 (* a x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (expm1 (* x a)) * * * * [misc]progress: [ 5 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (expm1 (/ 1 (* a x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (expm1 (/ 1 (* a x))) * * * * [misc]progress: [ 6 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (expm1 (/ 1 (* a x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (expm1 (/ 1 (* a x))) * * * * [misc]progress: [ 7 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (expm1 (* a x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (expm1 (* x a)) * * * * [misc]progress: [ 8 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (expm1 (/ 1 (* a x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (expm1 (/ 1 (* a x))) * * * * [misc]progress: [ 9 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (expm1 (/ 1 (* a x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (expm1 (/ 1 (* a x))) * * * * [misc]progress: [ 10 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (cube (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (expm1 (expm1 (* a x))) * [exit]simplify: Simplified to (expm1 (expm1 (* a x))) * * * * [misc]progress: [ 11 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (cube (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* a x) * [exit]simplify: Simplified to (* a x) * * * * [misc]progress: [ 12 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (cube (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (log (expm1 (* a x))) * [exit]simplify: Simplified to (log (expm1 (* a x))) * * * * [misc]progress: [ 15 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (cube (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (exp (expm1 (* a x))) * [exit]simplify: Simplified to (exp (expm1 (* a x))) * * * * [misc]progress: [ 16 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube 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 (cbrt (cube (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (expm1 (* a x)) * [exit]simplify: Simplified to (expm1 (* a x)) * * * * [misc]progress: [ 17 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (expm1 (* a x))) * [exit]simplify: Simplified to (cbrt (expm1 (* a x))) * [enter]simplify: Simplifying (cbrt (* (expm1 (* x a)) (expm1 (* x a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (* (expm1 (* a x)) (expm1 (* a x)))) * [exit]simplify: Simplified to (cbrt (* (expm1 (* a x)) (expm1 (* a x)))) * * * * [misc]progress: [ 18 / 44 ] 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 (cube (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (expm1 (* a x)) * [exit]simplify: Simplified to (expm1 (* a x)) * * * * [misc]progress: [ 19 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (cube (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (cbrt (expm1 (* a x))) * [exit]simplify: Simplified to (cbrt (expm1 (* a x))) * * * * [misc]progress: [ 20 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (cube (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cube (expm1 (* a x))) * [exit]simplify: Simplified to (cube (expm1 (* a x))) * * * * [misc]progress: [ 21 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (cube (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * * * * [misc]progress: [ 22 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cube (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (expm1 (cube (expm1 (* a x)))) * [exit]simplify: Simplified to (expm1 (cube (expm1 (* a x)))) * * * * [misc]progress: [ 24 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cube (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (log1p (cube (expm1 (* a x)))) * [exit]simplify: Simplified to (log1p (cube (expm1 (* a x)))) * * * * [misc]progress: [ 25 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cube (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * [exit]simplify: Simplified to (log (cube (expm1 (* a x)))) * [exit]simplify: Simplified to (log (cube (expm1 (* a x)))) * * * * [misc]progress: [ 28 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cube (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (exp (cube (expm1 (* a x)))) * [exit]simplify: Simplified to (exp (cube (expm1 (* a x)))) * * * * [misc]progress: [ 29 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (expm1 (* a x)) * [exit]simplify: Simplified to (expm1 (* a x)) * * * * [misc]progress: [ 30 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cube (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (cube (cube (expm1 (* a x)))) * [exit]simplify: Simplified to (cube (cube (expm1 (* a x)))) * * * * [misc]progress: [ 31 / 44 ] 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 (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (cube (expm1 (* a x))) * [exit]simplify: Simplified to (cube (expm1 (* a x))) * * * * [misc]progress: [ 32 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (expm1 (* x a)) (expm1 (* x a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (expm1 (* a x)) (expm1 (* a x))) * [exit]simplify: Simplified to (* (expm1 (* a x)) (expm1 (* a x))) * * * * [misc]progress: [ 33 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sqrt (cube (expm1 (* a x)))) * [exit]simplify: Simplified to (sqrt (cube (expm1 (* a x)))) * * * * [misc]progress: [ 34 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* x a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (exp (* a x)) * [exit]simplify: Simplified to (exp (* a x)) * * * * [misc]progress: [ 36 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (expm1 (expm1 (* a x))) * [exit]simplify: Simplified to (expm1 (expm1 (* a x))) * * * * [misc]progress: [ 37 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* a x) * [exit]simplify: Simplified to (* a x) * * * * [misc]progress: [ 38 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (log (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (expm1 (* a x))) * [exit]simplify: Simplified to (log (expm1 (* a x))) * * * * [misc]progress: [ 40 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (expm1 (* a x))) * [exit]simplify: Simplified to (exp (expm1 (* a x))) * * * * [misc]progress: [ 41 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (expm1 (* a x))) * [exit]simplify: Simplified to (cbrt (expm1 (* a x))) * * * * [misc]progress: [ 42 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (cube (expm1 (* a x))) * [exit]simplify: Simplified to (cube (expm1 (* a x))) * * * * [misc]progress: [ 43 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * * * * [misc]progress: [ 44 / 44 ] 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 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (sqrt (expm1 (* x a))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* x a))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in a * [misc]backup-simplify: Simplify (expm1 (* x a)) into (expm1 (* a x)) * [misc]backup-simplify: Simplify (sqrt (expm1 (* a x))) into (sqrt (expm1 (* a x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (expm1 (* a x))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* x a))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in x * [misc]backup-simplify: Simplify (expm1 (* x a)) into (expm1 (* a x)) * [misc]backup-simplify: Simplify (sqrt (expm1 (* a x))) into (sqrt (expm1 (* a x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (expm1 (* a x))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* x a))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in x * [misc]backup-simplify: Simplify (expm1 (* x a)) into (expm1 (* a x)) * [misc]backup-simplify: Simplify (sqrt (expm1 (* a x))) into (sqrt (expm1 (* a x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (expm1 (* a x))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* a x))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* a x)) in a * [misc]backup-simplify: Simplify (expm1 (* a x)) into (expm1 (* a x)) * [misc]backup-simplify: Simplify (sqrt (expm1 (* a x))) into (sqrt (expm1 (* a x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (expm1 (* a x))))) into 0 * [misc]backup-simplify: Simplify (sqrt (expm1 (* a x))) into (sqrt (expm1 (* a x))) * [misc]taylor: Taking taylor expansion of 0 in a * [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 (expm1 (* a x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [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 (expm1 (* a x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (expm1 (* a x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (expm1 (* a x))) into (sqrt (expm1 (* a x))) * [misc]approximate: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) (/ 1 a)))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in a * [misc]backup-simplify: Simplify (expm1 (* (/ 1 x) (/ 1 a))) into (expm1 (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (expm1 (/ 1 (* a x)))) into (sqrt (expm1 (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (expm1 (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) (/ 1 a)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 x) (/ 1 a))) into (expm1 (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (expm1 (/ 1 (* a x)))) into (sqrt (expm1 (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (expm1 (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) (/ 1 a)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 x) (/ 1 a))) into (expm1 (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (expm1 (/ 1 (* a x)))) into (sqrt (expm1 (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (expm1 (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (/ 1 (* a x)))) in a * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (* a x))) in a * [misc]backup-simplify: Simplify (expm1 (/ 1 (* a x))) into (expm1 (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (expm1 (/ 1 (* a x)))) into (sqrt (expm1 (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (expm1 (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (expm1 (/ 1 (* a x)))) into (sqrt (expm1 (/ 1 (* a x)))) * [misc]taylor: Taking taylor expansion of 0 in a * [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 (expm1 (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [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 (expm1 (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (expm1 (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (expm1 (/ 1 (* a x)))) into (sqrt (expm1 (/ 1 (* a x)))) * [misc]approximate: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]backup-simplify: Simplify (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) into (expm1 (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (expm1 (/ 1 (* a x)))) into (sqrt (expm1 (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (expm1 (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) into (expm1 (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (expm1 (/ 1 (* a x)))) into (sqrt (expm1 (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (expm1 (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) into (expm1 (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (expm1 (/ 1 (* a x)))) into (sqrt (expm1 (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (expm1 (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (/ 1 (* a x)))) in a * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (* a x))) in a * [misc]backup-simplify: Simplify (expm1 (/ 1 (* a x))) into (expm1 (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (expm1 (/ 1 (* a x)))) into (sqrt (expm1 (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (expm1 (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (expm1 (/ 1 (* a x)))) into (sqrt (expm1 (/ 1 (* a x)))) * [misc]taylor: Taking taylor expansion of 0 in a * [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 (expm1 (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [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 (expm1 (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (expm1 (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (expm1 (/ 1 (* a x)))) into (sqrt (expm1 (/ 1 (* a x)))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (expm1 (* x a)))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (expm1 (* x a)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* x a))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in a * [misc]backup-simplify: Simplify (expm1 (* x a)) into (expm1 (* a x)) * [misc]backup-simplify: Simplify (sqrt (expm1 (* a x))) into (sqrt (expm1 (* a x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (expm1 (* a x))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (expm1 (* x a)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* x a))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in x * [misc]backup-simplify: Simplify (expm1 (* x a)) into (expm1 (* a x)) * [misc]backup-simplify: Simplify (sqrt (expm1 (* a x))) into (sqrt (expm1 (* a x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (expm1 (* a x))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (expm1 (* x a)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* x a))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in x * [misc]backup-simplify: Simplify (expm1 (* x a)) into (expm1 (* a x)) * [misc]backup-simplify: Simplify (sqrt (expm1 (* a x))) into (sqrt (expm1 (* a x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (expm1 (* a x))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (expm1 (* a x))) (sqrt (expm1 (* a x)))) into (expm1 (* a x)) * [misc]taylor: Taking taylor expansion of (expm1 (* a x)) in a * [misc]backup-simplify: Simplify (expm1 (* a x)) into (expm1 (* a x)) * [misc]backup-simplify: Simplify (expm1 (* a x)) into (expm1 (* a x)) * [misc]backup-simplify: Simplify (+ (* (sqrt (expm1 (* a x))) 0) (* 0 (sqrt (expm1 (* a x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [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 (expm1 (* a x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (expm1 (* a x))) 0) (+ (* 0 0) (* 0 (sqrt (expm1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [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 (expm1 (* a x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (expm1 (* a x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (expm1 (* a x))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (expm1 (* a x)) into (expm1 (* a x)) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (expm1 (* (/ 1 x) (/ 1 a))))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (expm1 (* (/ 1 x) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in a * [misc]backup-simplify: Simplify (expm1 (* (/ 1 x) (/ 1 a))) into (expm1 (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (expm1 (/ 1 (* a x)))) into (sqrt (expm1 (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (expm1 (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (expm1 (* (/ 1 x) (/ 1 a))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) (/ 1 a)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 x) (/ 1 a))) into (expm1 (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (expm1 (/ 1 (* a x)))) into (sqrt (expm1 (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (expm1 (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (expm1 (* (/ 1 x) (/ 1 a))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) (/ 1 a)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 x) (/ 1 a))) into (expm1 (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (expm1 (/ 1 (* a x)))) into (sqrt (expm1 (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (expm1 (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (expm1 (/ 1 (* a x)))) (sqrt (expm1 (/ 1 (* a x))))) into (expm1 (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (* a x))) in a * [misc]backup-simplify: Simplify (expm1 (/ 1 (* a x))) into (expm1 (/ 1 (* a x))) * [misc]backup-simplify: Simplify (expm1 (/ 1 (* a x))) into (expm1 (/ 1 (* a x))) * [misc]backup-simplify: Simplify (+ (* (sqrt (expm1 (/ 1 (* a x)))) 0) (* 0 (sqrt (expm1 (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [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 (expm1 (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (expm1 (/ 1 (* a x)))) 0) (+ (* 0 0) (* 0 (sqrt (expm1 (/ 1 (* a x))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [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 (expm1 (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (expm1 (/ 1 (* a x)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (expm1 (/ 1 (* a x)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (expm1 (/ 1 (* a x))) into (expm1 (/ 1 (* a x))) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a)))))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]backup-simplify: Simplify (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) into (expm1 (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (expm1 (/ 1 (* a x)))) into (sqrt (expm1 (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (expm1 (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) into (expm1 (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (expm1 (/ 1 (* a x)))) into (sqrt (expm1 (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (expm1 (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) into (expm1 (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (expm1 (/ 1 (* a x)))) into (sqrt (expm1 (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (expm1 (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (expm1 (/ 1 (* a x)))) (sqrt (expm1 (/ 1 (* a x))))) into (expm1 (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (* a x))) in a * [misc]backup-simplify: Simplify (expm1 (/ 1 (* a x))) into (expm1 (/ 1 (* a x))) * [misc]backup-simplify: Simplify (expm1 (/ 1 (* a x))) into (expm1 (/ 1 (* a x))) * [misc]backup-simplify: Simplify (+ (* (sqrt (expm1 (/ 1 (* a x)))) 0) (* 0 (sqrt (expm1 (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [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 (expm1 (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (expm1 (/ 1 (* a x)))) 0) (+ (* 0 0) (* 0 (sqrt (expm1 (/ 1 (* a x))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [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 (expm1 (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (expm1 (/ 1 (* a x)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (expm1 (/ 1 (* a x)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (expm1 (/ 1 (* a x))) into (expm1 (/ 1 (* a x))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (expm1 (* x a)) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in a * [misc]backup-simplify: Simplify (expm1 (* x a)) into (expm1 (* a x)) * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in x * [misc]backup-simplify: Simplify (expm1 (* x a)) into (expm1 (* a x)) * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in x * [misc]backup-simplify: Simplify (expm1 (* x a)) into (expm1 (* a x)) * [misc]taylor: Taking taylor expansion of (expm1 (* a x)) in a * [misc]backup-simplify: Simplify (expm1 (* a x)) into (expm1 (* a x)) * [misc]backup-simplify: Simplify (expm1 (* a x)) into (expm1 (* a x)) * [misc]taylor: Taking taylor expansion of 0 in a * [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 a * [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 a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (expm1 (* a x)) into (expm1 (* a x)) * [misc]approximate: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in a * [misc]backup-simplify: Simplify (expm1 (* (/ 1 x) (/ 1 a))) into (expm1 (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 x) (/ 1 a))) into (expm1 (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 x) (/ 1 a))) into (expm1 (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (* a x))) in a * [misc]backup-simplify: Simplify (expm1 (/ 1 (* a x))) into (expm1 (/ 1 (* a x))) * [misc]backup-simplify: Simplify (expm1 (/ 1 (* a x))) into (expm1 (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 0 in a * [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 a * [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 a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (expm1 (/ 1 (* a x))) into (expm1 (/ 1 (* a x))) * [misc]approximate: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]backup-simplify: Simplify (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) into (expm1 (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) into (expm1 (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) into (expm1 (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (* a x))) in a * [misc]backup-simplify: Simplify (expm1 (/ 1 (* a x))) into (expm1 (/ 1 (* a x))) * [misc]backup-simplify: Simplify (expm1 (/ 1 (* a x))) into (expm1 (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 0 in a * [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 a * [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 a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (expm1 (/ 1 (* a x))) into (expm1 (/ 1 (* a x))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (expm1 (* a x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (expm1 (* x a)) * * * * [misc]progress: [ 2 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (expm1 (/ 1 (* a x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (expm1 (/ 1 (* a x))) * * * * [misc]progress: [ 3 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (expm1 (/ 1 (* a x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (expm1 (/ 1 (* a x))) * * * * [misc]progress: [ 4 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* a x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (expm1 (* x a)) * * * * [misc]progress: [ 5 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ 1 (* a x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (expm1 (/ 1 (* a x))) * * * * [misc]progress: [ 6 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ 1 (* a x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (expm1 (/ 1 (* a x))) * * * * [misc]progress: [ 7 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (expm1 (* a x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (expm1 (* x a)) * * * * [misc]progress: [ 8 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (expm1 (/ 1 (* a x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (expm1 (/ 1 (* a x))) * * * * [misc]progress: [ 9 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (expm1 (/ 1 (* a x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (expm1 (/ 1 (* a x))) * * * * [misc]progress: [ 10 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (expm1 (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 11 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (log1p (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (log1p (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 12 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (log (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (log (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 15 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (exp (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (exp (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 16 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (cbrt (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 17 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (expm1 (* a x))) (expm1 (* a x))) * [exit]simplify: Simplified to (* (sqrt (expm1 (* a x))) (expm1 (* a x))) * * * * [misc]progress: [ 18 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * * * * [misc]progress: [ 19 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 20 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqr (sqrt (expm1 (* x a))))) * * [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 (expm1 (expm1 (* a x))) * [exit]simplify: Simplified to (expm1 (expm1 (* a x))) * * * * [misc]progress: [ 23 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqr (sqrt (expm1 (* x a))))) * * [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 (* a x) * [exit]simplify: Simplified to (* a x) * * * * [misc]progress: [ 24 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqr (sqrt (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (log (expm1 (* a x))) * [exit]simplify: Simplified to (log (expm1 (* a x))) * * * * [misc]progress: [ 27 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqr (sqrt (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (exp (expm1 (* a x))) * [exit]simplify: Simplified to (exp (expm1 (* a x))) * * * * [misc]progress: [ 28 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqr (sqrt (expm1 (* x a))))) * * [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 (expm1 (* a x))) * [exit]simplify: Simplified to (cbrt (expm1 (* a x))) * * * * [misc]progress: [ 29 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (sqrt (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (cube (expm1 (* a x))) * [exit]simplify: Simplified to (cube (expm1 (* a x))) * * * * [misc]progress: [ 30 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr (sqrt (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * * * * [misc]progress: [ 31 / 44 ] 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 (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (expm1 (* a x)) * [exit]simplify: Simplified to (expm1 (* a x)) * * * * [misc]progress: [ 32 / 44 ] 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 (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (expm1 (* a x)) * [exit]simplify: Simplified to (expm1 (* a x)) * * * * [misc]progress: [ 33 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* x a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (exp (* a x)) * [exit]simplify: Simplified to (exp (* a x)) * * * * [misc]progress: [ 36 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (expm1 (expm1 (* a x))) * [exit]simplify: Simplified to (expm1 (expm1 (* a x))) * * * * [misc]progress: [ 37 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* a x) * [exit]simplify: Simplified to (* a x) * * * * [misc]progress: [ 38 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (log (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (expm1 (* a x))) * [exit]simplify: Simplified to (log (expm1 (* a x))) * * * * [misc]progress: [ 40 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (expm1 (* a x))) * [exit]simplify: Simplified to (exp (expm1 (* a x))) * * * * [misc]progress: [ 41 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (expm1 (* a x))) * [exit]simplify: Simplified to (cbrt (expm1 (* a x))) * * * * [misc]progress: [ 42 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (cube (expm1 (* a x))) * [exit]simplify: Simplified to (cube (expm1 (* a x))) * * * * [misc]progress: [ 43 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * * * * [misc]progress: [ 44 / 44 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (* a x) +inf.0)) , with alts (#) * [enter]simplify: Simplifying (cube (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (cube (expm1 (* a x))) * [exit]simplify: Simplified to (cube (expm1 (* a x))) * [enter]simplify: Simplifying (* x a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* a x) * [exit]simplify: Simplified to (* a x) * [enter]simplify: Simplifying (sqrt (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [exit]simplify: Simplified to (sqrt (expm1 (* a x)))