* [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 / 2 * * * [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: [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 (* 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)