* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate "ALT DATA: 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(N) (- (atan (+ N 1)) (atan N)))"}* * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) * [misc]taylor: Taking taylor expansion of (atan N) in N * [misc]backup-simplify: Simplify (atan N) into (atan N) * [misc]taylor: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) * [misc]taylor: Taking taylor expansion of (atan N) in N * [misc]backup-simplify: Simplify (atan N) into (atan N) * [misc]backup-simplify: Simplify (- (atan N)) into (- (atan N)) * [misc]backup-simplify: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N)) * [misc]backup-simplify: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) * [misc]approximate: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) * [misc]taylor: Taking taylor expansion of (atan (/ 1 N)) in N * [misc]backup-simplify: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) * [misc]taylor: Taking taylor expansion of (atan (/ 1 N)) in N * [misc]backup-simplify: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) * [misc]backup-simplify: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) * [misc]backup-simplify: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) * [misc]backup-simplify: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N)) * [misc]approximate: Taking taylor expansion of (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- N))) in N * [misc]backup-simplify: Simplify (atan (/ 1 (- N))) into (atan (/ -1 N)) * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- N))) in N * [misc]backup-simplify: Simplify (atan (/ 1 (- N))) into (atan (/ -1 N)) * [misc]backup-simplify: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) * [misc]backup-simplify: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) * [misc]backup-simplify: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N)) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (atan (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) * [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 0 into 0 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) * [misc]approximate: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) * [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 0 into 0 * [misc]backup-simplify: Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1)) * [misc]approximate: Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) * [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 0 into 0 * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ N 1)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ N 1) N) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (+ 1 (* (+ N 1) N)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (+ (* N N) (+ 1 N)) * [exit]simplify: Simplified to (+ (* N N) (+ 1 N)) * * * * [misc]progress: [ 2 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (atan (+ N 1))) (exp (atan N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (exp (- (atan (+ N 1)) (atan N))) * [exit]simplify: Simplified to (exp (- (atan (+ N 1)) (atan N))) * * * * [misc]progress: [ 3 / 28 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (log (- (atan (+ N 1)) (atan N))) * [exit]simplify: Simplified to (log (- (atan (+ N 1)) (atan N))) * * * * [misc]progress: [ 5 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (exp (- (atan (+ N 1)) (atan N))) * [exit]simplify: Simplified to (exp (- (atan (+ N 1)) (atan N))) * * * * [misc]progress: [ 6 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (atan (+ N 1)) (atan N))) (cbrt (- (atan (+ N 1)) (atan N)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (- (atan (+ N 1)) (atan N))) (cbrt (- (atan (+ N 1)) (atan N)))) * [exit]simplify: Simplified to (* (cbrt (- (atan (+ N 1)) (atan N))) (cbrt (- (atan (+ N 1)) (atan N)))) * [enter]simplify: Simplifying (cbrt (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (cbrt (- (atan (+ N 1)) (atan N))) * [exit]simplify: Simplified to (cbrt (- (atan (+ N 1)) (atan N))) * * * * [misc]progress: [ 7 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * [exit]simplify: Simplified to (pow (- (atan (+ N 1)) (atan N)) 3) * [exit]simplify: Simplified to (pow (- (atan (+ N 1)) (atan N)) 3) * * * * [misc]progress: [ 8 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (- (atan (+ N 1)) (atan N))) * [exit]simplify: Simplified to (sqrt (- (atan (+ N 1)) (atan N))) * [enter]simplify: Simplifying (sqrt (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (- (atan (+ N 1)) (atan N))) * [exit]simplify: Simplified to (sqrt (- (atan (+ N 1)) (atan N))) * * * * [misc]progress: [ 9 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (atan (+ N 1)) 3) (pow (atan N) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (+ (pow (atan (+ N 1)) 3) (* (* (atan N) (atan N)) (- (atan N)))) * [exit]simplify: Simplified to (+ (pow (atan (+ N 1)) 3) (* (* (atan N) (atan N)) (- (atan N)))) * [enter]simplify: Simplifying (+ (* (atan (+ N 1)) (atan (+ N 1))) (+ (* (atan N) (atan N)) (* (atan (+ N 1)) (atan N)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (+ (* (+ (atan (+ N 1)) (atan N)) (atan (+ N 1))) (* (atan N) (atan N))) * [exit]simplify: Simplified to (+ (* (+ (atan (+ N 1)) (atan N)) (atan (+ N 1))) (* (atan N) (atan N))) * * * * [misc]progress: [ 10 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (atan N)) * [exit]simplify: Simplified to (- (atan N)) * * * * [misc]progress: [ 11 / 28 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N))) * [exit]simplify: Simplified to (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N))) * [enter]simplify: Simplifying (+ (atan (+ N 1)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (+ (atan N) (atan (+ N 1))) * [exit]simplify: Simplified to (+ (atan N) (atan (+ N 1))) * * * * [misc]progress: [ 13 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ (sqrt (atan N)) (sqrt (atan (+ N 1)))) * [exit]simplify: Simplified to (+ (sqrt (atan N)) (sqrt (atan (+ N 1)))) * [enter]simplify: Simplifying (- (sqrt (atan (+ N 1))) (sqrt (atan N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (- (sqrt (atan (+ N 1))) (sqrt (atan N))) * [exit]simplify: Simplified to (- (sqrt (atan (+ N 1))) (sqrt (atan N))) * * * * [misc]progress: [ 14 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * * * * [misc]progress: [ 15 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (atan N)) * [exit]simplify: Simplified to (- (atan N)) * * * * [misc]progress: [ 16 / 28 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (atan (+ N 1))) * [exit]simplify: Simplified to (log (atan (+ N 1))) * * * * [misc]progress: [ 18 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (exp (atan (+ N 1))) * [exit]simplify: Simplified to (exp (atan (+ N 1))) * * * * [misc]progress: [ 19 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) * [exit]simplify: Simplified to (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) * [enter]simplify: Simplifying (cbrt (atan (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (atan (+ N 1))) * [exit]simplify: Simplified to (cbrt (atan (+ N 1))) * * * * [misc]progress: [ 20 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (atan (+ N 1)) (atan (+ N 1))) (atan (+ N 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (pow (atan (+ N 1)) 3) * [exit]simplify: Simplified to (pow (atan (+ N 1)) 3) * * * * [misc]progress: [ 21 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (atan (+ N 1))) * [exit]simplify: Simplified to (sqrt (atan (+ N 1))) * [enter]simplify: Simplifying (sqrt (atan (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (atan (+ N 1))) * [exit]simplify: Simplified to (sqrt (atan (+ N 1))) * * * * [misc]progress: [ 22 / 28 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * * * * [misc]progress: [ 24 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * * * * [misc]progress: [ 25 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * * * * [misc]progress: [ 26 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * * * * [misc]progress: [ 27 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * * * * [misc]progress: [ 28 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate "ALT DATA: 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(N) (atan2 1 (+ 1 (* (+ N 1) N))))"}* * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 2 2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ (pow N 2) (+ N 1))) * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ (pow N 2) (+ N 1))) * [misc]backup-simplify: Simplify (atan2 1 (+ (pow N 2) (+ N 1))) into (atan2 1 (+ (pow N 2) (+ N 1))) * [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 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (+ (pow N 2) (+ N 1))) into (atan2 1 (+ (pow N 2) (+ N 1))) * [misc]approximate: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1))) * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1))) * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1))) into (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1))) * [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 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (/ 1 N)) (+ (/ 1 (pow (/ 1 N) 2)) 1))) into (atan2 1 (+ (pow N 2) (+ N 1))) * [misc]approximate: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) * [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 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ (pow N 2) (+ N 1))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (* (+ N 1) N) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (+ N 1) N) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ N 1) N) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 0)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ (pow N 2) N) * [misc]approximate: Taking taylor expansion of (* (+ (/ 1 N) 1) (/ 1 N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 N) 1) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 N) 1) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (* 0 1))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (pow N 2) N) * [misc]approximate: Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 -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 (- 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (* 0 -1))) 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (* 0 -1)))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) 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 (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) 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 (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (pow N 2) N) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (+ 1 (* (+ N 1) N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (+ 1 (* (+ N 1) N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ N 1) N) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (* (+ N 1) N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ N 1) N) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 0)) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow N 2)) (+ (* 1 N) 1)) into (+ (pow N 2) (+ N 1)) * [misc]approximate: Taking taylor expansion of (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 N) 1) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 N) 1) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ (pow N 2) (+ N 1)) * [misc]approximate: Taking taylor expansion of (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 -1)) into -1 * [misc]backup-simplify: Simplify (+ 0 -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 (- 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ (pow N 2) (+ N 1)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan2 1 (+ 1 (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (log (atan2 1 (+ (* N N) (+ 1 N)))) * [exit]simplify: Simplified to (log (atan2 1 (+ (* N N) (+ 1 N)))) * * * * [misc]progress: [ 3 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan2 1 (+ 1 (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (exp (atan2 1 (+ (* N N) (+ 1 N)))) * [exit]simplify: Simplified to (exp (atan2 1 (+ (* N N) (+ 1 N)))) * * * * [misc]progress: [ 4 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (+ (* N N) (+ 1 N)))) (cbrt (atan2 1 (+ (* N N) (+ 1 N))))) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (+ (* N N) (+ 1 N)))) (cbrt (atan2 1 (+ (* N N) (+ 1 N))))) * [enter]simplify: Simplifying (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (cbrt (atan2 1 (+ (* N N) (+ 1 N)))) * [exit]simplify: Simplified to (cbrt (atan2 1 (+ (* N N) (+ 1 N)))) * * * * [misc]progress: [ 5 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (atan2 1 (+ 1 (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (pow (atan2 1 (+ (* N N) (+ 1 N))) 3) * [exit]simplify: Simplified to (pow (atan2 1 (+ (* N N) (+ 1 N))) 3) * * * * [misc]progress: [ 6 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (* N N) (+ 1 N)))) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (* N N) (+ 1 N)))) * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (* N N) (+ 1 N)))) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (* N N) (+ 1 N)))) * * * * [misc]progress: [ 7 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (log (+ N (* N N))) * [exit]simplify: Simplified to (log (+ N (* N N))) * * * * [misc]progress: [ 10 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (pow (exp N) (+ N 1)) * [exit]simplify: Simplified to (pow (exp N) (+ N 1)) * * * * [misc]progress: [ 11 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* N N) N)) (cbrt (+ (* N N) N))) * [exit]simplify: Simplified to (* (cbrt (+ (* N N) N)) (cbrt (+ (* N N) N))) * [enter]simplify: Simplifying (cbrt (* (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (cbrt (+ (* N N) N)) * [exit]simplify: Simplified to (cbrt (+ (* N N) N)) * * * * [misc]progress: [ 12 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ N 1) N) (* (+ N 1) N)) (* (+ N 1) N)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * [exit]simplify: Simplified to (pow (+ N (* N N)) 3) * [exit]simplify: Simplified to (pow (+ N (* N N)) 3) * * * * [misc]progress: [ 13 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (sqrt (+ (* N N) N)) * [exit]simplify: Simplified to (sqrt (+ (* N N) N)) * [enter]simplify: Simplifying (sqrt (* (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (sqrt (+ (* N N) N)) * [exit]simplify: Simplified to (sqrt (+ (* N N) N)) * * * * [misc]progress: [ 14 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ N 1)) N) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (+ N 1)) N) * [exit]simplify: Simplified to (* (cbrt (+ N 1)) N) * * * * [misc]progress: [ 16 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ N 1)) N) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (sqrt (+ N 1)) N) * [exit]simplify: Simplified to (* (sqrt (+ N 1)) N) * * * * [misc]progress: [ 17 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ N 1) N) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (+ N (* N N)) * [exit]simplify: Simplified to (+ N (* N N)) * * * * [misc]progress: [ 18 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow N 3) (pow 1 3)) N) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (+ N (* (* N N) (* N N))) * [exit]simplify: Simplified to (+ N (* (* N N) (* N N))) * * * * [misc]progress: [ 19 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* N N) (* 1 1)) N) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (- (pow N 3) N) * [exit]simplify: Simplified to (- (pow N 3) N) * * * * [misc]progress: [ 20 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 (* (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (log (+ (* N N) (+ 1 N))) * [exit]simplify: Simplified to (log (+ (* N N) (+ 1 N))) * * * * [misc]progress: [ 23 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ 1 (* (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (exp (+ (* N N) (+ 1 N))) * [exit]simplify: Simplified to (exp (+ (* N N) (+ 1 N))) * * * * [misc]progress: [ 24 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ 1 (* (+ N 1) N))) (cbrt (+ 1 (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* N N) (+ 1 N))) (cbrt (+ (* N N) (+ 1 N)))) * [exit]simplify: Simplified to (* (cbrt (+ (* N N) (+ 1 N))) (cbrt (+ (* N N) (+ 1 N)))) * [enter]simplify: Simplifying (cbrt (+ 1 (* (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (cbrt (+ (* N N) (+ 1 N))) * [exit]simplify: Simplified to (cbrt (+ (* N N) (+ 1 N))) * * * * [misc]progress: [ 25 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ 1 (* (+ N 1) N)) (+ 1 (* (+ N 1) N))) (+ 1 (* (+ N 1) N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (254 enodes) * [exit]simplify: Simplified to (pow (+ (* N N) (+ 1 N)) 3) * [exit]simplify: Simplified to (pow (+ (* N N) (+ 1 N)) 3) * * * * [misc]progress: [ 26 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (* (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (sqrt (+ (* N N) (+ 1 N))) * [exit]simplify: Simplified to (sqrt (+ (* N N) (+ 1 N))) * [enter]simplify: Simplifying (sqrt (+ 1 (* (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (sqrt (+ (* N N) (+ 1 N))) * [exit]simplify: Simplified to (sqrt (+ (* N N) (+ 1 N))) * * * * [misc]progress: [ 27 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow 1 3) (pow (* (+ N 1) N) 3)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * [exit]simplify: Simplified to (+ (pow (+ (* N N) N) 3) 1) * [exit]simplify: Simplified to (+ (pow (+ (* N N) N) 3) 1) * [enter]simplify: Simplifying (+ (* 1 1) (- (* (* (+ N 1) N) (* (+ N 1) N)) (* 1 (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (259 enodes) * [exit]simplify: Simplified to (+ (* (+ (* N N) N) (+ (* N N) N)) (- (- 1 N) (* N N))) * [exit]simplify: Simplified to (+ (* (+ (* N N) N) (+ (* N N) N)) (- (- 1 N) (* N N))) * * * * [misc]progress: [ 28 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 1) (* (* (+ N 1) N) (* (+ N 1) N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * [exit]simplify: Simplified to (- 1 (* (+ N (* N N)) (+ N (* N N)))) * [exit]simplify: Simplified to (- 1 (* (+ N (* N N)) (+ N (* N N)))) * [enter]simplify: Simplifying (- 1 (* (+ N 1) N)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (- (- 1 N) (* N N)) * [exit]simplify: Simplified to (- (- 1 N) (* N N)) * * * * [misc]progress: [ 30 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ (pow N 2) (+ N 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ 1 N) (* N N))) * * * * [misc]progress: [ 32 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ (pow N 2) (+ N 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ 1 N) (* N N))) * * * * [misc]progress: [ 33 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ (pow N 2) (+ N 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ 1 N) (* N N))) * * * * [misc]progress: [ 34 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ 1 (+ (pow N 2) N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ 1 N) (* N N))) * * * * [misc]progress: [ 35 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ 1 (+ (pow N 2) N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ 1 N) (* N N))) * * * * [misc]progress: [ 36 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ 1 (+ (pow N 2) N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ 1 N) (* N N))) * * * * [misc]progress: [ 37 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ (pow N 2) (+ N 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ 1 N) (* N N))) * * * * [misc]progress: [ 38 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ (pow N 2) (+ N 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ 1 N) (* N N))) * * * * [misc]progress: [ 39 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ (pow N 2) (+ N 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ 1 N) (* N N))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate "ALT DATA: 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(N) (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))))"}* * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))) into (atan2 1 (+ (* N (pow (cbrt (+ N 1)) 3)) 1)) * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))) into (atan2 1 (+ (* N (pow (cbrt (+ N 1)) 3)) 1)) * [misc]backup-simplify: Simplify (atan2 1 (+ (* N (pow (cbrt (+ N 1)) 3)) 1)) into (atan2 1 (+ (pow N 2) (+ N 1))) * [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 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (+ (pow N 2) (+ N 1))) into (atan2 1 (+ (pow N 2) (+ N 1))) * [misc]approximate: Taking taylor expansion of (atan2 1 (+ 1 (* (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1))) (* (cbrt (+ (/ 1 N) 1)) (/ 1 N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1))) (* (cbrt (+ (/ 1 N) 1)) (/ 1 N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1))) (* (cbrt (+ (/ 1 N) 1)) (/ 1 N))))) into (atan2 1 (+ (/ (pow (cbrt (+ (/ 1 N) 1)) 3) N) 1)) * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1))) (* (cbrt (+ (/ 1 N) 1)) (/ 1 N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1))) (* (cbrt (+ (/ 1 N) 1)) (/ 1 N))))) into (atan2 1 (+ (/ (pow (cbrt (+ (/ 1 N) 1)) 3) N) 1)) * [misc]backup-simplify: Simplify (atan2 1 (+ (/ (pow (cbrt (+ (/ 1 N) 1)) 3) N) 1)) into (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1))) * [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 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (/ 1 N)) (+ (/ 1 (pow (/ 1 N) 2)) 1))) into (atan2 1 (+ (pow N 2) (+ N 1))) * [misc]approximate: Taking taylor expansion of (atan2 1 (+ 1 (* (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (+ (/ 1 (- N)) 1))) (* (cbrt (+ (/ 1 (- N)) 1)) (/ 1 (- N)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (+ (/ 1 (- N)) 1))) (* (cbrt (+ (/ 1 (- N)) 1)) (/ 1 (- N)))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (+ (/ 1 (- N)) 1))) (* (cbrt (+ (/ 1 (- N)) 1)) (/ 1 (- N)))))) into (atan2 1 (- 1 (/ (pow (cbrt (- 1 (/ 1 N))) 3) N))) * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (+ (/ 1 (- N)) 1))) (* (cbrt (+ (/ 1 (- N)) 1)) (/ 1 (- N)))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (+ (/ 1 (- N)) 1))) (* (cbrt (+ (/ 1 (- N)) 1)) (/ 1 (- N)))))) into (atan2 1 (- 1 (/ (pow (cbrt (- 1 (/ 1 N))) 3) N))) * [misc]backup-simplify: Simplify (atan2 1 (- 1 (/ (pow (cbrt (- 1 (/ 1 N))) 3) N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) * [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 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ (pow N 2) (+ N 1))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 2 1) * [misc]approximate: Taking taylor expansion of (cbrt (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]backup-simplify: Simplify (+ (* -1/9 (pow N 2)) (+ (* 1/3 N) 1)) into (- (+ (* 1/3 N) 1) (* 1/9 (pow N 2))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]backup-simplify: Simplify (pow N -1/3) into (pow N -1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 N) 1/3)) into (* 1/3 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 N) 1/3)) into (* -1/9 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (/ 1 N)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (/ 1 N)) 1/3)) (/ 1 N)) (pow (/ 1 N) -1/3))) into (- (+ (pow (/ 1 N) -1/3) (* 1/3 (pow (/ 1 (pow N 2)) 1/3))) (* 1/9 (pow (/ 1 (pow N 5)) 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (/ 1 (- N))) (exp (* 1/3 (- (log -1) (log (/ 1 (- N)))))))) into (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]backup-simplify: Simplify (+ (* -1/9 (pow N 2)) (+ (* 1/3 N) 1)) into (- (+ (* 1/3 N) 1) (* 1/9 (pow N 2))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]backup-simplify: Simplify (pow N -1/3) into (pow N -1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 N) 1/3)) into (* 1/3 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 N) 1/3)) into (* -1/9 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (/ 1 N)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (/ 1 N)) 1/3)) (/ 1 N)) (pow (/ 1 N) -1/3))) into (- (+ (pow (/ 1 N) -1/3) (* 1/3 (pow (/ 1 (pow N 2)) 1/3))) (* 1/9 (pow (/ 1 (pow N 5)) 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (/ 1 (- N))) (exp (* 1/3 (- (log -1) (log (/ 1 (- N)))))))) into (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]backup-simplify: Simplify (+ (* -1/9 (pow N 2)) (+ (* 1/3 N) 1)) into (- (+ (* 1/3 N) 1) (* 1/9 (pow N 2))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]backup-simplify: Simplify (pow N -1/3) into (pow N -1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 N) 1/3)) into (* 1/3 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 N) 1/3)) into (* -1/9 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (/ 1 N)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (/ 1 N)) 1/3)) (/ 1 N)) (pow (/ 1 N) -1/3))) into (- (+ (pow (/ 1 N) -1/3) (* 1/3 (pow (/ 1 (pow N 2)) 1/3))) (* 1/9 (pow (/ 1 (pow N 5)) 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (/ 1 (- N))) (exp (* 1/3 (- (log -1) (log (/ 1 (- N)))))))) into (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (log (atan2 1 (+ 1 (* (+ 1 N) N)))) * [exit]simplify: Simplified to (log (atan2 1 (+ 1 (* (+ 1 N) N)))) * * * * [misc]progress: [ 3 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (exp (atan2 1 (+ 1 (* (+ 1 N) N)))) * [exit]simplify: Simplified to (exp (atan2 1 (+ 1 (* (+ 1 N) N)))) * * * * [misc]progress: [ 4 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N))))) (cbrt (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (+ 1 (* (+ 1 N) N)))) (cbrt (atan2 1 (+ 1 (* (+ 1 N) N))))) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (+ 1 (* (+ 1 N) N)))) (cbrt (atan2 1 (+ 1 (* (+ 1 N) N))))) * [enter]simplify: Simplifying (cbrt (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (cbrt (atan2 1 (+ 1 (* (+ 1 N) N)))) * [exit]simplify: Simplified to (cbrt (atan2 1 (+ 1 (* (+ 1 N) N)))) * * * * [misc]progress: [ 5 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))) (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N))))) (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (pow (atan2 1 (+ 1 (* (+ 1 N) N))) 3) * [exit]simplify: Simplified to (pow (atan2 1 (+ 1 (* (+ 1 N) N))) 3) * * * * [misc]progress: [ 6 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))) * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))) * * * * [misc]progress: [ 7 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (cbrt (+ N 1))) * [exit]simplify: Simplified to (log (cbrt (+ N 1))) * * * * [misc]progress: [ 11 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (exp (cbrt (+ N 1))) * [exit]simplify: Simplified to (exp (cbrt (+ N 1))) * * * * [misc]progress: [ 12 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ N 1))) * [exit]simplify: Simplified to (cbrt (cbrt (+ N 1))) * * * * [misc]progress: [ 13 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ N 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ N 1))) * [enter]simplify: Simplifying (cbrt (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ N 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ N 1))) * * * * [misc]progress: [ 14 / 58 ] 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 (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cbrt (+ N 1)) * [exit]simplify: Simplified to (cbrt (+ N 1)) * * * * [misc]progress: [ 15 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow N 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (cbrt (+ (pow N 3) 1)) * [exit]simplify: Simplified to (cbrt (+ (pow N 3) 1)) * [enter]simplify: Simplifying (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (cbrt (+ (* N N) (- 1 N))) * [exit]simplify: Simplified to (cbrt (+ (* N N) (- 1 N))) * * * * [misc]progress: [ 16 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* N N) (* 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (cbrt (- (* N N) 1)) * [exit]simplify: Simplified to (cbrt (- (* N N) 1)) * [enter]simplify: Simplifying (cbrt (- N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (cbrt (- N 1)) * [exit]simplify: Simplified to (cbrt (- N 1)) * * * * [misc]progress: [ 17 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ N 1))) * [exit]simplify: Simplified to (cbrt (cbrt (+ N 1))) * * * * [misc]progress: [ 18 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (cbrt (+ N 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (+ N 1) * [exit]simplify: Simplified to (+ N 1) * * * * [misc]progress: [ 19 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ N 1))) * [exit]simplify: Simplified to (sqrt (cbrt (+ N 1))) * [enter]simplify: Simplifying (sqrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ N 1))) * [exit]simplify: Simplified to (sqrt (cbrt (+ N 1))) * * * * [misc]progress: [ 20 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (cbrt (+ N 1))) * [exit]simplify: Simplified to (log (cbrt (+ N 1))) * * * * [misc]progress: [ 24 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (exp (cbrt (+ N 1))) * [exit]simplify: Simplified to (exp (cbrt (+ N 1))) * * * * [misc]progress: [ 25 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ N 1))) * [exit]simplify: Simplified to (cbrt (cbrt (+ N 1))) * * * * [misc]progress: [ 26 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ N 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ N 1))) * [enter]simplify: Simplifying (cbrt (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ N 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ N 1))) * * * * [misc]progress: [ 27 / 58 ] 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 (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cbrt (+ N 1)) * [exit]simplify: Simplified to (cbrt (+ N 1)) * * * * [misc]progress: [ 28 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow N 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (cbrt (+ (pow N 3) 1)) * [exit]simplify: Simplified to (cbrt (+ (pow N 3) 1)) * [enter]simplify: Simplifying (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (cbrt (+ (* N N) (- 1 N))) * [exit]simplify: Simplified to (cbrt (+ (* N N) (- 1 N))) * * * * [misc]progress: [ 29 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* N N) (* 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (cbrt (- (* N N) 1)) * [exit]simplify: Simplified to (cbrt (- (* N N) 1)) * [enter]simplify: Simplifying (cbrt (- N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (cbrt (- N 1)) * [exit]simplify: Simplified to (cbrt (- N 1)) * * * * [misc]progress: [ 30 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ N 1))) * [exit]simplify: Simplified to (cbrt (cbrt (+ N 1))) * * * * [misc]progress: [ 31 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (cbrt (+ N 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (+ N 1) * [exit]simplify: Simplified to (+ N 1) * * * * [misc]progress: [ 32 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ N 1))) * [exit]simplify: Simplified to (sqrt (cbrt (+ N 1))) * [enter]simplify: Simplifying (sqrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ N 1))) * [exit]simplify: Simplified to (sqrt (cbrt (+ N 1))) * * * * [misc]progress: [ 33 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (cbrt (+ N 1))) * [exit]simplify: Simplified to (log (cbrt (+ N 1))) * * * * [misc]progress: [ 37 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (exp (cbrt (+ N 1))) * [exit]simplify: Simplified to (exp (cbrt (+ N 1))) * * * * [misc]progress: [ 38 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ N 1))) * [exit]simplify: Simplified to (cbrt (cbrt (+ N 1))) * * * * [misc]progress: [ 39 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ N 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ N 1))) * [enter]simplify: Simplifying (cbrt (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ N 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ N 1))) * * * * [misc]progress: [ 40 / 58 ] 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 (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cbrt (+ N 1)) * [exit]simplify: Simplified to (cbrt (+ N 1)) * * * * [misc]progress: [ 41 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow N 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (cbrt (+ (pow N 3) 1)) * [exit]simplify: Simplified to (cbrt (+ (pow N 3) 1)) * [enter]simplify: Simplifying (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (cbrt (+ (* N N) (- 1 N))) * [exit]simplify: Simplified to (cbrt (+ (* N N) (- 1 N))) * * * * [misc]progress: [ 42 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* N N) (* 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (cbrt (- (* N N) 1)) * [exit]simplify: Simplified to (cbrt (- (* N N) 1)) * [enter]simplify: Simplifying (cbrt (- N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (cbrt (- N 1)) * [exit]simplify: Simplified to (cbrt (- N 1)) * * * * [misc]progress: [ 43 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ N 1))) * [exit]simplify: Simplified to (cbrt (cbrt (+ N 1))) * * * * [misc]progress: [ 44 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (cbrt (+ N 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (+ N 1) * [exit]simplify: Simplified to (+ N 1) * * * * [misc]progress: [ 45 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ N 1))) * [exit]simplify: Simplified to (sqrt (cbrt (+ N 1))) * [enter]simplify: Simplifying (sqrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ N 1))) * [exit]simplify: Simplified to (sqrt (cbrt (+ N 1))) * * * * [misc]progress: [ 46 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ (pow N 2) (+ N 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ 1 N) (* N N))) * * * * [misc]progress: [ 48 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ (pow N 2) (+ N 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ 1 N) (* N N))) * * * * [misc]progress: [ 49 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ (pow N 2) (+ N 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ 1 N) (* N N))) * * * * [misc]progress: [ 50 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (- (+ (* 1/3 N) 1) (* 1/9 (pow N 2))) N)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (359 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* (+ (* (* N N) (- 1/3 (* 1/9 N))) N) (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) 1)) * * * * [misc]progress: [ 51 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (- (+ (pow (/ 1 N) -1/3) (* 1/3 (pow (/ 1 (pow N 2)) 1/3))) (* 1/9 (pow (/ 1 (pow N 5)) 1/3))) N)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* (- (* (cbrt (/ (/ 1 N) N)) 1/3) (* (cbrt (/ 1 (pow N 5))) 1/9)) (* (cbrt (+ 1 N)) (* (cbrt (+ 1 N)) N))) (+ (* (* (pow (/ 1 N) -1/3) (cbrt (+ 1 N))) (* (cbrt (+ 1 N)) N)) 1))) * * * * [misc]progress: [ 52 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) N)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (445 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* (* (* (cbrt (+ 1 N)) N) (cbrt (+ 1 N))) (- (* (+ (/ 1/3 N) 1) (pow (exp 1/3) (log N))) (/ (pow (exp 1/3) (log N)) (/ (* N N) 1/9)))) 1)) * * * * [misc]progress: [ 53 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (- (+ (* 1/3 N) 1) (* 1/9 (pow N 2)))) (* (cbrt (+ N 1)) N)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (280 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) N) (+ 1 (* (- 1/3 (* 1/9 N)) N))) 1)) * * * * [misc]progress: [ 54 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (- (+ (pow (/ 1 N) -1/3) (* 1/3 (pow (/ 1 (pow N 2)) 1/3))) (* 1/9 (pow (/ 1 (pow N 5)) 1/3)))) (* (cbrt (+ N 1)) N)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ 1 (* (* (cbrt (+ 1 N)) (* (cbrt (+ 1 N)) N)) (* 1/3 (cbrt (/ (/ 1 N) N))))) (* (* (cbrt (+ 1 N)) (* (cbrt (+ 1 N)) N)) (- (pow (/ 1 N) -1/3) (* (cbrt (/ 1 (pow N 5))) 1/9))))) * * * * [misc]progress: [ 55 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2))))) (* (cbrt (+ N 1)) N)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (358 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* (* (cbrt (+ 1 N)) (* (cbrt (+ 1 N)) N)) (- (* (+ (/ 1/3 N) 1) (pow (exp 1/3) (log N))) (/ (pow (exp 1/3) (log N)) (/ (* N N) 1/9)))) 1)) * * * * [misc]progress: [ 56 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ 1 (* (* (- (+ (* 1/3 N) 1) (* 1/9 (pow N 2))) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (278 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) N) (+ 1 (* (- 1/3 (* 1/9 N)) N))) 1)) * * * * [misc]progress: [ 57 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ 1 (* (* (- (+ (pow (/ 1 N) -1/3) (* 1/3 (pow (/ 1 (pow N 2)) 1/3))) (* 1/9 (pow (/ 1 (pow N 5)) 1/3))) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (267 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ 1 (* (* (cbrt (/ (/ 1 N) N)) 1/3) (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) N))) (* (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) N) (- (pow (/ 1 N) -1/3) (* 1/9 (cbrt (/ 1 (pow N 5)))))))) * * * * [misc]progress: [ 58 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ 1 (* (* (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (357 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) N) (- (* (+ (/ 1/3 N) 1) (pow (exp 1/3) (log N))) (* (/ (/ 1/9 N) N) (pow (exp 1/3) (log N))))) 1)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate "ALT DATA: 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(N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))"}* * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ (pow N 2) (+ N 1))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))) into (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ (pow N 2) (+ N 1))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))) into (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))) into (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))) into (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 (/ 1 N)) (+ (/ 1 (pow (/ 1 N) 2)) 1)))) into (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ (pow N 2) (+ N 1))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))) into (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ (pow N 2) (+ N 1))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))) into (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))) into (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))) into (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 (/ 1 N)) (+ (/ 1 (pow (/ 1 N) 2)) 1)))) into (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ (pow N 2) (+ N 1))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))) into (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ (pow N 2) (+ N 1))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))) into (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ (pow N 2) (+ N 1))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))) into (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ (pow N 2) (+ N 1))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))) into (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))) (sqrt (atan2 1 (+ (pow N 2) (+ N 1))))) into (atan2 1 (+ (pow N 2) (+ N 1))) * [misc]backup-simplify: Simplify (atan2 1 (+ (pow N 2) (+ N 1))) into (atan2 1 (+ (pow N 2) (+ N 1))) * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))) 0) (* 0 (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ (pow N 2) (+ N 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ (pow N 2) (+ N 1))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ (pow N 2) (+ N 1))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (+ (pow N 2) (+ N 1))) into (atan2 1 (+ (pow N 2) (+ N 1))) * [misc]approximate: Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))) (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1))))) into (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1))) * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1))) into (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1))) * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))) 0) (* 0 (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (/ 1 N)) (+ (/ 1 (pow (/ 1 N) 2)) 1))) into (atan2 1 (+ (pow N 2) (+ N 1))) * [misc]approximate: Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 0) (* 0 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ (pow N 2) (+ N 1))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ (pow N 2) (+ N 1))) * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ (pow N 2) (+ N 1))) * [misc]backup-simplify: Simplify (atan2 1 (+ (pow N 2) (+ N 1))) into (atan2 1 (+ (pow N 2) (+ N 1))) * [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 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (+ (pow N 2) (+ N 1))) into (atan2 1 (+ (pow N 2) (+ N 1))) * [misc]approximate: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1))) * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1))) * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1))) into (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1))) * [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 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (/ 1 N)) (+ (/ 1 (pow (/ 1 N) 2)) 1))) into (atan2 1 (+ (pow N 2) (+ N 1))) * [misc]approximate: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) * [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 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ (pow N 2) (+ N 1))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (log (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) * [exit]simplify: Simplified to (log (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) * * * * [misc]progress: [ 4 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (exp (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) * [exit]simplify: Simplified to (exp (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) * * * * [misc]progress: [ 5 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) (cbrt (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) (cbrt (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))) * [enter]simplify: Simplifying (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) * * * * [misc]progress: [ 6 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (* (atan2 1 (+ (+ 1 N) (* N N))) (sqrt (atan2 1 (+ (+ 1 N) (* N N))))) * [exit]simplify: Simplified to (* (atan2 1 (+ (+ 1 N) (* N N))) (sqrt (atan2 1 (+ (+ 1 N) (* N N))))) * * * * [misc]progress: [ 7 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (+ (* N N) (+ 1 N))))) * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (+ (* N N) (+ 1 N))))) * [enter]simplify: Simplifying (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (+ (* N N) (+ 1 N))))) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (+ (* N N) (+ 1 N))))) * * * * [misc]progress: [ 8 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) * * * * [misc]progress: [ 9 / 73 ] 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 (atan2 1 (+ 1 (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (* N N) (+ 1 N)))) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (* N N) (+ 1 N)))) * * * * [misc]progress: [ 10 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) * * * * [misc]progress: [ 11 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (log (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) * [exit]simplify: Simplified to (log (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) * * * * [misc]progress: [ 16 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (exp (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) * [exit]simplify: Simplified to (exp (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) * * * * [misc]progress: [ 17 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) (cbrt (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) (cbrt (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))) * [enter]simplify: Simplifying (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) * * * * [misc]progress: [ 18 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (* (atan2 1 (+ (+ 1 N) (* N N))) (sqrt (atan2 1 (+ (+ 1 N) (* N N))))) * [exit]simplify: Simplified to (* (atan2 1 (+ (+ 1 N) (* N N))) (sqrt (atan2 1 (+ (+ 1 N) (* N N))))) * * * * [misc]progress: [ 19 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (+ (* N N) (+ 1 N))))) * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (+ (* N N) (+ 1 N))))) * [enter]simplify: Simplifying (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (+ (* N N) (+ 1 N))))) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (+ (* N N) (+ 1 N))))) * * * * [misc]progress: [ 20 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) * * * * [misc]progress: [ 21 / 73 ] 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 (atan2 1 (+ 1 (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (* N N) (+ 1 N)))) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (* N N) (+ 1 N)))) * * * * [misc]progress: [ 22 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) * * * * [misc]progress: [ 23 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1/2 1/2) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (+ 1/2 1/2) * [exit]simplify: Simplified to (+ 1/2 1/2) * * * * [misc]progress: [ 26 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [exit]simplify: Simplified to (+ 1 1) * * * * [misc]progress: [ 27 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (* (atan2 1 (+ (* N N) (+ 1 N))) (atan2 1 (+ (* N N) (+ 1 N)))) * [exit]simplify: Simplified to (* (atan2 1 (+ (* N N) (+ 1 N))) (atan2 1 (+ (* N N) (+ 1 N)))) * * * * [misc]progress: [ 28 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ 1 N))) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ 1 N))) * * * * [misc]progress: [ 29 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [exit]simplify: Simplified to (+ 1 1) * * * * [misc]progress: [ 31 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) (log (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))) * [exit]simplify: Simplified to (+ (log (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) (log (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))) * * * * [misc]progress: [ 33 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (log (atan2 1 (+ (* N N) (+ 1 N)))) * [exit]simplify: Simplified to (log (atan2 1 (+ (* N N) (+ 1 N)))) * * * * [misc]progress: [ 34 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (exp (atan2 1 (+ (* N N) (+ 1 N)))) * [exit]simplify: Simplified to (exp (atan2 1 (+ (* N N) (+ 1 N)))) * * * * [misc]progress: [ 35 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (pow (atan2 1 (+ (+ 1 N) (* N N))) 3) * [exit]simplify: Simplified to (pow (atan2 1 (+ (+ 1 N) (* N N))) 3) * * * * [misc]progress: [ 36 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (+ (* N N) (+ 1 N)))) (cbrt (atan2 1 (+ (* N N) (+ 1 N))))) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (+ (* N N) (+ 1 N)))) (cbrt (atan2 1 (+ (* N N) (+ 1 N))))) * [enter]simplify: Simplifying (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (cbrt (atan2 1 (+ (* N N) (+ 1 N)))) * [exit]simplify: Simplified to (cbrt (atan2 1 (+ (* N N) (+ 1 N)))) * * * * [misc]progress: [ 37 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (pow (atan2 1 (+ (+ 1 N) (* N N))) 3) * [exit]simplify: Simplified to (pow (atan2 1 (+ (+ 1 N) (* N N))) 3) * * * * [misc]progress: [ 38 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (* (atan2 1 (+ (* N N) (+ 1 N))) (atan2 1 (+ (* N N) (+ 1 N)))) * [exit]simplify: Simplified to (* (atan2 1 (+ (* N N) (+ 1 N))) (atan2 1 (+ (* N N) (+ 1 N)))) * * * * [misc]progress: [ 39 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (* N N) (+ 1 N)))) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (* N N) (+ 1 N)))) * [enter]simplify: Simplifying (sqrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (* N N) (+ 1 N)))) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (* N N) (+ 1 N)))) * * * * [misc]progress: [ 40 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) * * [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 (37 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) (cbrt (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) (cbrt (sqrt (atan2 1 (+ (* N N) (+ 1 N)))))) * * * * [misc]progress: [ 43 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (atan2 1 (+ (+ 1 N) (* N N))))) (sqrt (atan2 1 (+ (+ 1 N) (* N N))))) * [exit]simplify: Simplified to (* (fabs (cbrt (atan2 1 (+ (+ 1 N) (* N N))))) (sqrt (atan2 1 (+ (+ 1 N) (* N N))))) * * * * [misc]progress: [ 44 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) * * * * [misc]progress: [ 45 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (sqrt 1) (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) * [exit]simplify: Simplified to (* (sqrt 1) (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) * * * * [misc]progress: [ 46 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) * * * * [misc]progress: [ 47 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (* N N) (+ 1 N)))) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (* N N) (+ 1 N)))) * * * * [misc]progress: [ 48 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) * * * * [misc]progress: [ 49 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (sqrt (atan2 1 (+ (* N N) (+ 1 N)))) (sqrt (cbrt (atan2 1 (+ (* N N) (+ 1 N)))))) * [exit]simplify: Simplified to (* (sqrt (atan2 1 (+ (* N N) (+ 1 N)))) (sqrt (cbrt (atan2 1 (+ (* N N) (+ 1 N)))))) * * * * [misc]progress: [ 50 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) * * * * [misc]progress: [ 51 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ 1 N))) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ 1 N))) * * * * [misc]progress: [ 52 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) (sqrt (atan2 1 (+ (* N N) (+ 1 N))))) * * * * [misc]progress: [ 53 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ 1 N))) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ 1 N))) * * * * [misc]progress: [ 54 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan2 1 (+ 1 (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (log (atan2 1 (+ (* N N) (+ 1 N)))) * [exit]simplify: Simplified to (log (atan2 1 (+ (* N N) (+ 1 N)))) * * * * [misc]progress: [ 57 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan2 1 (+ 1 (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (exp (atan2 1 (+ (* N N) (+ 1 N)))) * [exit]simplify: Simplified to (exp (atan2 1 (+ (* N N) (+ 1 N)))) * * * * [misc]progress: [ 58 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (+ (* N N) (+ 1 N)))) (cbrt (atan2 1 (+ (* N N) (+ 1 N))))) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (+ (* N N) (+ 1 N)))) (cbrt (atan2 1 (+ (* N N) (+ 1 N))))) * [enter]simplify: Simplifying (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (cbrt (atan2 1 (+ (* N N) (+ 1 N)))) * [exit]simplify: Simplified to (cbrt (atan2 1 (+ (* N N) (+ 1 N)))) * * * * [misc]progress: [ 59 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (atan2 1 (+ 1 (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (pow (atan2 1 (+ (* N N) (+ 1 N))) 3) * [exit]simplify: Simplified to (pow (atan2 1 (+ (* N N) (+ 1 N))) 3) * * * * [misc]progress: [ 60 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (* N N) (+ 1 N)))) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (* N N) (+ 1 N)))) * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (* N N) (+ 1 N)))) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (* N N) (+ 1 N)))) * * * * [misc]progress: [ 61 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ (pow N 2) (+ N 1))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ 1 N) (* N N))) * * * * [misc]progress: [ 63 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ (pow N 2) (+ N 1))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ 1 N) (* N N))) * * * * [misc]progress: [ 64 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ (pow N 2) (+ N 1))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ 1 N) (* N N))) * * * * [misc]progress: [ 65 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ 1 N))) * * * * [misc]progress: [ 66 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ 1 N))) * * * * [misc]progress: [ 67 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ (pow N 2) (+ N 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ 1 N))) * * * * [misc]progress: [ 68 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ (pow N 2) (+ N 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ 1 N) (* N N))) * * * * [misc]progress: [ 69 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ (pow N 2) (+ N 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ 1 N) (* N N))) * * * * [misc]progress: [ 70 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ (pow N 2) (+ N 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ 1 N) (* N N))) * * * * [misc]progress: [ 71 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ (pow N 2) (+ N 1))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ 1 N) (* N N))) * * * * [misc]progress: [ 72 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ (pow N 2) (+ N 1))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ 1 N) (* N N))) * * * * [misc]progress: [ 73 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ (pow N 2) (+ N 1))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ 1 N) (* N N))) * * * [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 (- (atan (+ N 1)) (atan N)) +nan.0)) , with alts (#) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8000 points with exact outputs