* [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: 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 8 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 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 253 * * [misc]simplify: Extracting #4: cost 0 inf + 735 * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 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 (+ 1 N)) (atan N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (atan (+ 1 N)) (atan N)) in N * [misc]taylor: Taking taylor expansion of (atan (+ 1 N)) in N * [misc]backup-simplify: Simplify (atan (+ 1 N)) 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 (+ 1 N)) (atan N)) in N * [misc]taylor: Taking taylor expansion of (atan (+ 1 N)) in N * [misc]backup-simplify: Simplify (atan (+ 1 N)) 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 (/ 1 N))) (atan (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (atan (+ 1 (/ 1 N))) in N * [misc]backup-simplify: Simplify (atan (+ 1 (/ 1 N))) 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 (/ 1 N))) (atan (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (atan (+ 1 (/ 1 N))) in N * [misc]backup-simplify: Simplify (atan (+ 1 (/ 1 N))) 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 (/ 1 (- N)))) (atan (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (atan (+ 1 (/ 1 (- N)))) (atan (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (atan (+ 1 (/ 1 (- N)))) in N * [misc]backup-simplify: Simplify (atan (+ 1 (/ 1 (- N)))) 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 (/ 1 (- N)))) (atan (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (atan (+ 1 (/ 1 (- N)))) in N * [misc]backup-simplify: Simplify (atan (+ 1 (/ 1 (- N)))) 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 (+ 1 N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan (+ 1 N)) in N * [misc]backup-simplify: Simplify (atan (+ 1 N)) into (atan (+ N 1)) * [misc]taylor: Taking taylor expansion of (atan (+ 1 N)) in N * [misc]backup-simplify: Simplify (atan (+ 1 N)) 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 (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan (+ 1 (/ 1 N))) in N * [misc]backup-simplify: Simplify (atan (+ 1 (/ 1 N))) into (atan (+ (/ 1 N) 1)) * [misc]taylor: Taking taylor expansion of (atan (+ 1 (/ 1 N))) in N * [misc]backup-simplify: Simplify (atan (+ 1 (/ 1 N))) 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 (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan (+ 1 (/ 1 (- N)))) in N * [misc]backup-simplify: Simplify (atan (+ 1 (/ 1 (- N)))) into (atan (- 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (+ 1 (/ 1 (- N)))) in N * [misc]backup-simplify: Simplify (atan (+ 1 (/ 1 (- N)))) 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 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (atan (+ 1 N))) (cbrt (atan (+ 1 N)))) (cbrt (atan (+ 1 N))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 108 * * [misc]simplify: Extracting #4: cost 8 inf + 441 * * [misc]simplify: Extracting #5: cost 2 inf + 1640 * * [misc]simplify: Extracting #6: cost 0 inf + 2134 * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (atan (+ N 1)) (atan N)) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))))) * [enter]simplify: Simplifying (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan 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 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (atan (+ N 1)) (atan N)) 0)) * * * * [misc]progress: [ 2 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (atan (+ 1 N))) (cbrt (atan (+ 1 N)))) (cbrt (atan (+ 1 N))) (- (* (sqrt (atan N)) (sqrt (atan N))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 254 * * [misc]simplify: Extracting #4: cost 5 inf + 587 * * [misc]simplify: Extracting #5: cost 3 inf + 776 * * [misc]simplify: Extracting #6: cost 0 inf + 1562 * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (atan (+ N 1)) (atan N)) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))))) * [enter]simplify: Simplifying (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (atan (+ N 1)) (atan N)) 0)) * * * * [misc]progress: [ 3 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (atan (+ 1 N))) (cbrt (atan (+ 1 N)))) (cbrt (atan (+ 1 N))) (- (* (atan N) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 2 * * [misc]simplify: Extracting #3: cost 3 inf + 445 * * [misc]simplify: Extracting #4: cost 0 inf + 1231 * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (atan (+ N 1)) (atan N)) (fma (- (atan N)) 1 (* (atan N) 1)))) * [enter]simplify: Simplifying (fma (- (atan N)) 1 (* (atan N) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 2 * * [misc]simplify: Extracting #3: cost 3 inf + 3 * * [misc]simplify: Extracting #4: cost 0 inf + 417 * [exit]simplify: Simplified to (fma -1 (atan N) (atan N)) * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (atan (+ N 1)) (atan N)) (fma -1 (atan N) (atan N)))) * * * * [misc]progress: [ 4 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (atan (+ 1 N))) (sqrt (atan (+ 1 N))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 254 * * [misc]simplify: Extracting #4: cost 6 inf + 667 * * [misc]simplify: Extracting #5: cost 2 inf + 1348 * * [misc]simplify: Extracting #6: cost 0 inf + 1827 * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (atan (+ N 1)) (atan N)) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))))) * [enter]simplify: Simplifying (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan 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 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (atan (+ N 1)) (atan N)) 0)) * * * * [misc]progress: [ 5 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (atan (+ 1 N))) (sqrt (atan (+ 1 N))) (- (* (sqrt (atan N)) (sqrt (atan N))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 13 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 107 * * [misc]simplify: Extracting #4: cost 16 inf + 586 * * [misc]simplify: Extracting #5: cost 14 inf + 775 * * [misc]simplify: Extracting #6: cost 4 inf + 4470 * * [misc]simplify: Extracting #7: cost 0 inf + 6078 * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (atan (+ N 1)) (atan N)) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))))) * [enter]simplify: Simplifying (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (atan (+ N 1)) (atan N)) 0)) * * * * [misc]progress: [ 6 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (atan (+ 1 N))) (sqrt (atan (+ 1 N))) (- (* (atan N) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 2 * * [misc]simplify: Extracting #3: cost 2 inf + 444 * * [misc]simplify: Extracting #4: cost 0 inf + 923 * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (atan (+ N 1)) (atan N)) (fma (- (atan N)) 1 (* (atan N) 1)))) * [enter]simplify: Simplifying (fma (- (atan N)) 1 (* (atan N) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 2 * * [misc]simplify: Extracting #3: cost 3 inf + 3 * * [misc]simplify: Extracting #4: cost 0 inf + 417 * [exit]simplify: Simplified to (fma -1 (atan N) (atan N)) * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (atan (+ N 1)) (atan N)) (fma -1 (atan N) (atan N)))) * * * * [misc]progress: [ 7 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (atan (+ 1 N)) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 297 * * [misc]simplify: Extracting #4: cost 3 inf + 856 * * [misc]simplify: Extracting #5: cost 0 inf + 1640 * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (atan (+ N 1)) (atan N)) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))))) * [enter]simplify: Simplifying (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan 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 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (atan (+ N 1)) (atan N)) 0)) * * * * [misc]progress: [ 8 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (atan (+ 1 N)) (- (* (sqrt (atan N)) (sqrt (atan N))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 3 inf + 443 * * [misc]simplify: Extracting #4: cost 0 inf + 1067 * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (atan (+ N 1)) (atan N)) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))))) * [enter]simplify: Simplifying (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (atan (+ N 1)) (atan N)) 0)) * * * * [misc]progress: [ 9 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (atan (+ 1 N)) (- (* (atan N) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 2 * * [misc]simplify: Extracting #3: cost 2 inf + 297 * * [misc]simplify: Extracting #4: cost 1 inf + 444 * * [misc]simplify: Extracting #5: cost 0 inf + 736 * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (atan (+ N 1)) (atan N)) (fma (- (atan N)) 1 (* (atan N) 1)))) * [enter]simplify: Simplifying (fma (- (atan N)) 1 (* (atan N) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 2 * * [misc]simplify: Extracting #3: cost 3 inf + 3 * * [misc]simplify: Extracting #4: cost 0 inf + 417 * [exit]simplify: Simplified to (fma -1 (atan N) (atan N)) * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (atan (+ N 1)) (atan N)) (fma -1 (atan N) (atan N)))) * * * * [misc]progress: [ 10 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (atan (+ 1 N))) (cbrt (atan (+ 1 N)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 6 inf + 0 * * [misc]simplify: Extracting #5: cost 4 inf + 2 * * [misc]simplify: Extracting #6: cost 0 inf + 685 * [exit]simplify: Simplified to (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) * [misc]simplify: Simplified (2 1) to (λ (N) (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ 1 N))) (- (atan N)))) * * * * [misc]progress: [ 13 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan (+ 1 N))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 2 * * [misc]simplify: Extracting #5: cost 0 inf + 378 * [exit]simplify: Simplified to (sqrt (atan (+ N 1))) * [misc]simplify: Simplified (2 1) to (λ (N) (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ 1 N))) (- (atan N)))) * * * * [misc]progress: [ 14 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1 N) N) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (N) (atan2 1 (+ 1 (* (+ 1 N) N)))) * [enter]simplify: Simplifying (+ 1 (* (+ 1 N) N)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 99 * * [misc]simplify: Extracting #3: cost 0 inf + 337 * [exit]simplify: Simplified to (fma N (+ N 1) 1) * [misc]simplify: Simplified (2 2) to (λ (N) (atan2 1 (fma N (+ N 1) 1))) * * * * [misc]progress: [ 16 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (atan (+ 1 N))) (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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 470 * * [misc]simplify: Extracting #5: cost 1 inf + 2133 * * [misc]simplify: Extracting #6: cost 0 inf + 2355 * [exit]simplify: Simplified to (exp (- (atan (+ N 1)) (atan N))) * [misc]simplify: Simplified (2 1) to (λ (N) (log (exp (- (atan (+ N 1)) (atan N))))) * * * * [misc]progress: [ 17 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (atan (+ 1 N))) (sqrt (atan N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 253 * * [misc]simplify: Extracting #5: cost 4 inf + 254 * * [misc]simplify: Extracting #6: cost 0 inf + 1002 * [exit]simplify: Simplified to (+ (sqrt (atan N)) (sqrt (atan (+ N 1)))) * [misc]simplify: Simplified (2 1) to (λ (N) (* (+ (sqrt (atan N)) (sqrt (atan (+ N 1)))) (- (sqrt (atan (+ 1 N))) (sqrt (atan N))))) * [enter]simplify: Simplifying (- (sqrt (atan (+ 1 N))) (sqrt (atan N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 439 * * [misc]simplify: Extracting #5: cost 4 inf + 440 * * [misc]simplify: Extracting #6: cost 0 inf + 1188 * [exit]simplify: Simplified to (- (sqrt (atan (+ N 1))) (sqrt (atan N))) * [misc]simplify: Simplified (2 2) to (λ (N) (* (+ (sqrt (atan (+ 1 N))) (sqrt (atan N))) (- (sqrt (atan (+ N 1))) (sqrt (atan N))))) * * * * [misc]progress: [ 28 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ 1 N)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 253 * * [misc]simplify: Extracting #4: cost 3 inf + 254 * * [misc]simplify: Extracting #5: cost 0 inf + 735 * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (- (atan (+ N 1)) (atan N)))) * * * * [misc]progress: [ 29 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 44 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 253 * * [misc]simplify: Extracting #4: cost 0 inf + 735 * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * [misc]simplify: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N))) * * * * [misc]progress: [ 40 / 44 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 253 * * [misc]simplify: Extracting #4: cost 0 inf + 735 * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * [misc]simplify: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N))) * * * * [misc]progress: [ 41 / 44 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 253 * * [misc]simplify: Extracting #4: cost 0 inf + 735 * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * [misc]simplify: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N))) * * * * [misc]progress: [ 42 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 191 * [exit]simplify: Simplified to (atan (+ 1 N)) * [misc]simplify: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N))) * * * * [misc]progress: [ 43 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 191 * [exit]simplify: Simplified to (atan (+ 1 N)) * [misc]simplify: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N))) * * * * [misc]progress: [ 44 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 191 * [exit]simplify: Simplified to (atan (+ 1 N)) * [misc]simplify: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) * [misc]taylor: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 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 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) * [misc]approximate: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 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 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) * [misc]approximate: Taking taylor expansion of (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 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 (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 12 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 12 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 12 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 12 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 12 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 12 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 12 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 12 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 12 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (fma N (+ N 1) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 574 * [exit]simplify: Simplified to (atan2 1 (fma N (+ N 1) 1)) * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (fma N (+ N 1) 1))) * * * * [misc]progress: [ 11 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (fma N (+ N 1) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 574 * [exit]simplify: Simplified to (atan2 1 (fma N (+ N 1) 1)) * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (fma N (+ N 1) 1))) * * * * [misc]progress: [ 12 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (fma N (+ N 1) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 574 * [exit]simplify: Simplified to (atan2 1 (fma N (+ N 1) 1)) * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (fma N (+ N 1) 1))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1 1) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) * [misc]taylor: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 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 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) * [misc]approximate: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 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 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) * [misc]approximate: Taking taylor expansion of (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 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 (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1)) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (expm1 (atan2 1 (fma N (+ N 1) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (atan2 1 (fma N (+ N 1) 1))) in N * [misc]taylor: Rewrote expression to (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) * [misc]taylor: Taking taylor expansion of (exp (atan2 1 (fma N (+ N 1) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) * [misc]backup-simplify: Simplify (exp (atan2 1 (fma N (+ N 1) 1))) into (exp (atan2 1 (fma N (+ N 1) 1))) * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (atan2 1 (fma N (+ N 1) 1))) in N * [misc]taylor: Rewrote expression to (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) * [misc]taylor: Taking taylor expansion of (exp (atan2 1 (fma N (+ N 1) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) * [misc]backup-simplify: Simplify (exp (atan2 1 (fma N (+ N 1) 1))) into (exp (atan2 1 (fma N (+ N 1) 1))) * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (atan2 1 (fma N (+ N 1) 1))) -1) into (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) * [misc]backup-simplify: Simplify (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) into (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma N (+ N 1) 1))) (+ (* (/ (pow 0 1) 1)))) 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 (* (exp (atan2 1 (fma N (+ N 1) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (* (exp (atan2 1 (fma N (+ N 1) 1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 (* (exp (atan2 1 (fma N (+ N 1) 1))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (* (exp (atan2 1 (fma N (+ N 1) 1))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 (* (exp (atan2 1 (fma N (+ N 1) 1))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) into (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) * [misc]approximate: Taking taylor expansion of (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N * [misc]taylor: Rewrote expression to (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) * [misc]taylor: Taking taylor expansion of (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) * [misc]backup-simplify: Simplify (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N * [misc]taylor: Rewrote expression to (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) * [misc]taylor: Taking taylor expansion of (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) * [misc]backup-simplify: Simplify (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) -1) into (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) * [misc]backup-simplify: Simplify (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) into (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) (+ (* (/ (pow 0 1) 1)))) 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 (* (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (* (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 (* (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (* (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 (* (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (- (exp (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1))) 1) into (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) * [misc]approximate: Taking taylor expansion of (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) in N * [misc]taylor: Rewrote expression to (- (exp (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) 1) * [misc]taylor: Taking taylor expansion of (exp (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) in N * [misc]taylor: Rewrote expression to (- (exp (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) 1) * [misc]taylor: Taking taylor expansion of (exp (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) -1) into (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) * [misc]backup-simplify: Simplify (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) into (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) (+ (* (/ (pow 0 1) 1)))) 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 (* (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (* (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 (* (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (* (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 (* (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (- (exp (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1))) 1) into (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) * * * * [misc]progress: [ 3 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (log1p (expm1 (atan2 1 (fma N (+ N 1) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log1p (expm1 (atan2 1 (fma N (+ N 1) 1)))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (atan2 1 (fma N (+ N 1) 1))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (atan2 1 (fma N (+ N 1) 1)))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (atan2 1 (fma N (+ N 1) 1))) in N * [misc]taylor: Rewrote expression to (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) * [misc]taylor: Taking taylor expansion of (exp (atan2 1 (fma N (+ N 1) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) * [misc]backup-simplify: Simplify (exp (atan2 1 (fma N (+ N 1) 1))) into (exp (atan2 1 (fma N (+ N 1) 1))) * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (atan2 1 (fma N (+ N 1) 1))) -1) into (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)) into (exp (atan2 1 (fma N (+ N 1) 1))) * [misc]backup-simplify: Simplify (log (exp (atan2 1 (fma N (+ N 1) 1)))) into (atan2 1 (fma N (+ N 1) 1)) * [misc]taylor: Taking taylor expansion of (log1p (expm1 (atan2 1 (fma N (+ N 1) 1)))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (atan2 1 (fma N (+ N 1) 1))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (atan2 1 (fma N (+ N 1) 1)))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (atan2 1 (fma N (+ N 1) 1))) in N * [misc]taylor: Rewrote expression to (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) * [misc]taylor: Taking taylor expansion of (exp (atan2 1 (fma N (+ N 1) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) * [misc]backup-simplify: Simplify (exp (atan2 1 (fma N (+ N 1) 1))) into (exp (atan2 1 (fma N (+ N 1) 1))) * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (atan2 1 (fma N (+ N 1) 1))) -1) into (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)) into (exp (atan2 1 (fma N (+ N 1) 1))) * [misc]backup-simplify: Simplify (log (exp (atan2 1 (fma N (+ N 1) 1)))) into (atan2 1 (fma N (+ N 1) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma N (+ N 1) 1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (atan2 1 (fma N (+ N 1) 1))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma N (+ N 1) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (atan2 1 (fma N (+ N 1) 1))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (atan2 1 (fma N (+ N 1) 1))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma N (+ N 1) 1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (atan2 1 (fma N (+ N 1) 1))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (atan2 1 (fma N (+ N 1) 1))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (atan2 1 (fma N (+ N 1) 1))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma N (+ N 1) 1))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (atan2 1 (fma N (+ N 1) 1))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (atan2 1 (fma N (+ N 1) 1))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (atan2 1 (fma N (+ N 1) 1))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (atan2 1 (fma N (+ N 1) 1))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (atan2 1 (fma N (+ N 1) 1))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma N (+ N 1) 1))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (atan2 1 (fma N (+ N 1) 1))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (atan2 1 (fma N (+ N 1) 1))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (atan2 1 (fma N (+ N 1) 1))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (atan2 1 (fma N (+ N 1) 1))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (atan2 1 (fma N (+ N 1) 1))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (atan2 1 (fma N (+ N 1) 1))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (atan2 1 (fma N (+ N 1) 1))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma N (+ N 1) 1))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (atan2 1 (fma N (+ N 1) 1))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (atan2 1 (fma N (+ N 1) 1))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (atan2 1 (fma N (+ N 1) 1))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (atan2 1 (fma N (+ N 1) 1))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (atan2 1 (fma N (+ N 1) 1))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (atan2 1 (fma N (+ N 1) 1))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (atan2 1 (fma N (+ N 1) 1))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (atan2 1 (fma N (+ N 1) 1))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (atan2 1 (fma N (+ N 1) 1))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (atan2 1 (fma N (+ N 1) 1))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (atan2 1 (fma N (+ N 1) 1))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) * [misc]approximate: Taking taylor expansion of (log1p (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log1p (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N * [misc]taylor: Rewrote expression to (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) * [misc]taylor: Taking taylor expansion of (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) * [misc]backup-simplify: Simplify (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) -1) into (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)) into (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) * [misc]backup-simplify: Simplify (log (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) * [misc]taylor: Taking taylor expansion of (log1p (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N * [misc]taylor: Rewrote expression to (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) * [misc]taylor: Taking taylor expansion of (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) * [misc]backup-simplify: Simplify (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) -1) into (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)) into (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) * [misc]backup-simplify: Simplify (log (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) * [misc]approximate: Taking taylor expansion of (log1p (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log1p (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) in N * [misc]taylor: Rewrote expression to (- (exp (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) 1) * [misc]taylor: Taking taylor expansion of (exp (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) -1) into (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)) into (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (log (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]taylor: Taking taylor expansion of (log1p (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) in N * [misc]taylor: Rewrote expression to (- (exp (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) 1) * [misc]taylor: Taking taylor expansion of (exp (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) -1) into (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)) into (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (log (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (fma N (+ N 1) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 574 * [exit]simplify: Simplified to (atan2 1 (fma N (+ N 1) 1)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (log1p (expm1 (atan2 1 (fma N (+ N 1) 1))))) * * * * [misc]progress: [ 14 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (fma N (+ N 1) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 574 * [exit]simplify: Simplified to (atan2 1 (fma N (+ N 1) 1)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (log1p (expm1 (atan2 1 (fma N (+ N 1) 1))))) * * * * [misc]progress: [ 33 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (fma N (+ N 1) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 574 * [exit]simplify: Simplified to (atan2 1 (fma N (+ N 1) 1)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (log1p (expm1 (atan2 1 (fma N (+ N 1) 1))))) * * * * [misc]progress: [ 34 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (fma N (+ N 1) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 574 * [exit]simplify: Simplified to (atan2 1 (fma N (+ N 1) 1)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (log1p (expm1 (atan2 1 (fma N (+ N 1) 1))))) * * * * [misc]progress: [ 35 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 2 * * [misc]simplify: Extracting #3: cost 10 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 1189 * [exit]simplify: Simplified to (expm1 (atan2 1 (fma N (+ N 1) 1))) * [misc]simplify: Simplified (2 1) to (λ (N) (log1p (expm1 (atan2 1 (fma N (+ N 1) 1))))) * * * * [misc]progress: [ 36 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 2 * * [misc]simplify: Extracting #3: cost 10 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 1189 * [exit]simplify: Simplified to (expm1 (atan2 1 (fma N (+ N 1) 1))) * [misc]simplify: Simplified (2 1) to (λ (N) (log1p (expm1 (atan2 1 (fma N (+ N 1) 1))))) * * * * [misc]progress: [ 37 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 2 * * [misc]simplify: Extracting #3: cost 10 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 1189 * [exit]simplify: Simplified to (expm1 (atan2 1 (fma N (+ N 1) 1))) * [misc]simplify: Simplified (2 1) to (λ (N) (log1p (expm1 (atan2 1 (fma N (+ N 1) 1))))) * * * * [misc]progress: [ 38 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (fma N (+ N 1) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 574 * [exit]simplify: Simplified to (atan2 1 (fma N (+ N 1) 1)) * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (fma N (+ N 1) 1))) * * * * [misc]progress: [ 39 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (fma N (+ N 1) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 574 * [exit]simplify: Simplified to (atan2 1 (fma N (+ N 1) 1)) * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (fma N (+ N 1) 1))) * * * * [misc]progress: [ 40 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (fma N (+ N 1) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 574 * [exit]simplify: Simplified to (atan2 1 (fma N (+ N 1) 1)) * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (fma N (+ N 1) 1))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) in N * [misc]taylor: Rewrote expression to (pow (expm1 (atan2 1 (fma N (+ N 1) 1))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (expm1 (atan2 1 (fma N (+ N 1) 1)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (expm1 (atan2 1 (fma N (+ N 1) 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 (expm1 (atan2 1 (fma N (+ N 1) 1)))) in N * [misc]taylor: Taking taylor expansion of (expm1 (atan2 1 (fma N (+ N 1) 1))) in N * [misc]taylor: Rewrote expression to (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) * [misc]taylor: Taking taylor expansion of (exp (atan2 1 (fma N (+ N 1) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) * [misc]backup-simplify: Simplify (exp (atan2 1 (fma N (+ N 1) 1))) into (exp (atan2 1 (fma N (+ N 1) 1))) * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (atan2 1 (fma N (+ N 1) 1))) -1) into (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) * [misc]backup-simplify: Simplify (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)) into (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1))) into (* 1/3 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)))) into (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) in N * [misc]taylor: Rewrote expression to (pow (expm1 (atan2 1 (fma N (+ N 1) 1))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (expm1 (atan2 1 (fma N (+ N 1) 1)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (expm1 (atan2 1 (fma N (+ N 1) 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 (expm1 (atan2 1 (fma N (+ N 1) 1)))) in N * [misc]taylor: Taking taylor expansion of (expm1 (atan2 1 (fma N (+ N 1) 1))) in N * [misc]taylor: Rewrote expression to (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) * [misc]taylor: Taking taylor expansion of (exp (atan2 1 (fma N (+ N 1) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) * [misc]backup-simplify: Simplify (exp (atan2 1 (fma N (+ N 1) 1))) into (exp (atan2 1 (fma N (+ N 1) 1))) * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (atan2 1 (fma N (+ N 1) 1))) -1) into (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) * [misc]backup-simplify: Simplify (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)) into (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1))) into (* 1/3 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)))) into (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1/3) * [misc]backup-simplify: Simplify (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1/3) into (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1/3) * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma N (+ N 1) 1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma N (+ N 1) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma N (+ N 1) 1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma N (+ N 1) 1))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma N (+ N 1) 1))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma N (+ N 1) 1))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1/3) into (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N * [misc]taylor: Rewrote expression to (pow (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 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 (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N * [misc]taylor: Taking taylor expansion of (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N * [misc]taylor: Rewrote expression to (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) * [misc]taylor: Taking taylor expansion of (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) * [misc]backup-simplify: Simplify (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) -1) into (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) * [misc]backup-simplify: Simplify (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)) into (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1))) into (* 1/3 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)))) into (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N * [misc]taylor: Rewrote expression to (pow (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 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 (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N * [misc]taylor: Taking taylor expansion of (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N * [misc]taylor: Rewrote expression to (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) * [misc]taylor: Taking taylor expansion of (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) * [misc]backup-simplify: Simplify (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) -1) into (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) * [misc]backup-simplify: Simplify (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)) into (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1))) into (* 1/3 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)))) into (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 1/3) * [misc]backup-simplify: Simplify (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 1/3) into (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 1/3) * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (- (exp (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1))) 1) 1/3) into (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))) in N * [misc]taylor: Rewrote expression to (pow (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 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 (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))) in N * [misc]taylor: Taking taylor expansion of (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) in N * [misc]taylor: Rewrote expression to (- (exp (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) 1) * [misc]taylor: Taking taylor expansion of (exp (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) -1) into (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) * [misc]backup-simplify: Simplify (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)) into (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1))) into (* 1/3 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)))) into (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))) in N * [misc]taylor: Rewrote expression to (pow (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 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 (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))) in N * [misc]taylor: Taking taylor expansion of (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) in N * [misc]taylor: Rewrote expression to (- (exp (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) 1) * [misc]taylor: Taking taylor expansion of (exp (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) -1) into (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) * [misc]backup-simplify: Simplify (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)) into (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1))) into (* 1/3 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)))) into (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 1/3) * [misc]backup-simplify: Simplify (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 1/3) into (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 1/3) * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (- (exp (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1))) 1) 1/3) into (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1/3) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) in N * [misc]taylor: Rewrote expression to (pow (expm1 (atan2 1 (fma N (+ N 1) 1))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (expm1 (atan2 1 (fma N (+ N 1) 1)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (expm1 (atan2 1 (fma N (+ N 1) 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 (expm1 (atan2 1 (fma N (+ N 1) 1)))) in N * [misc]taylor: Taking taylor expansion of (expm1 (atan2 1 (fma N (+ N 1) 1))) in N * [misc]taylor: Rewrote expression to (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) * [misc]taylor: Taking taylor expansion of (exp (atan2 1 (fma N (+ N 1) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) * [misc]backup-simplify: Simplify (exp (atan2 1 (fma N (+ N 1) 1))) into (exp (atan2 1 (fma N (+ N 1) 1))) * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (atan2 1 (fma N (+ N 1) 1))) -1) into (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) * [misc]backup-simplify: Simplify (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)) into (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1))) into (* 1/3 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)))) into (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) in N * [misc]taylor: Rewrote expression to (pow (expm1 (atan2 1 (fma N (+ N 1) 1))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (expm1 (atan2 1 (fma N (+ N 1) 1)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (expm1 (atan2 1 (fma N (+ N 1) 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 (expm1 (atan2 1 (fma N (+ N 1) 1)))) in N * [misc]taylor: Taking taylor expansion of (expm1 (atan2 1 (fma N (+ N 1) 1))) in N * [misc]taylor: Rewrote expression to (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) * [misc]taylor: Taking taylor expansion of (exp (atan2 1 (fma N (+ N 1) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) * [misc]backup-simplify: Simplify (exp (atan2 1 (fma N (+ N 1) 1))) into (exp (atan2 1 (fma N (+ N 1) 1))) * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (atan2 1 (fma N (+ N 1) 1))) -1) into (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) * [misc]backup-simplify: Simplify (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)) into (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1))) into (* 1/3 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)))) into (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1/3) * [misc]backup-simplify: Simplify (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1/3) into (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1/3) * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma N (+ N 1) 1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma N (+ N 1) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma N (+ N 1) 1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma N (+ N 1) 1))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma N (+ N 1) 1))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma N (+ N 1) 1))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1/3) into (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N * [misc]taylor: Rewrote expression to (pow (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 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 (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N * [misc]taylor: Taking taylor expansion of (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N * [misc]taylor: Rewrote expression to (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) * [misc]taylor: Taking taylor expansion of (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) * [misc]backup-simplify: Simplify (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) -1) into (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) * [misc]backup-simplify: Simplify (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)) into (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1))) into (* 1/3 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)))) into (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N * [misc]taylor: Rewrote expression to (pow (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 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 (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N * [misc]taylor: Taking taylor expansion of (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N * [misc]taylor: Rewrote expression to (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) * [misc]taylor: Taking taylor expansion of (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) * [misc]backup-simplify: Simplify (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) -1) into (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) * [misc]backup-simplify: Simplify (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)) into (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1))) into (* 1/3 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)))) into (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 1/3) * [misc]backup-simplify: Simplify (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 1/3) into (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 1/3) * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (- (exp (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1))) 1) 1/3) into (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))) in N * [misc]taylor: Rewrote expression to (pow (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 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 (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))) in N * [misc]taylor: Taking taylor expansion of (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) in N * [misc]taylor: Rewrote expression to (- (exp (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) 1) * [misc]taylor: Taking taylor expansion of (exp (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) -1) into (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) * [misc]backup-simplify: Simplify (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)) into (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1))) into (* 1/3 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)))) into (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))) in N * [misc]taylor: Rewrote expression to (pow (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 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 (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))) in N * [misc]taylor: Taking taylor expansion of (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) in N * [misc]taylor: Rewrote expression to (- (exp (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) 1) * [misc]taylor: Taking taylor expansion of (exp (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) -1) into (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) * [misc]backup-simplify: Simplify (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)) into (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1))) into (* 1/3 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)))) into (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 1/3) * [misc]backup-simplify: Simplify (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 1/3) into (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 1/3) * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (- (exp (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1))) 1) 1/3) into (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1/3) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) in N * [misc]taylor: Rewrote expression to (pow (expm1 (atan2 1 (fma N (+ N 1) 1))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (expm1 (atan2 1 (fma N (+ N 1) 1)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (expm1 (atan2 1 (fma N (+ N 1) 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 (expm1 (atan2 1 (fma N (+ N 1) 1)))) in N * [misc]taylor: Taking taylor expansion of (expm1 (atan2 1 (fma N (+ N 1) 1))) in N * [misc]taylor: Rewrote expression to (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) * [misc]taylor: Taking taylor expansion of (exp (atan2 1 (fma N (+ N 1) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) * [misc]backup-simplify: Simplify (exp (atan2 1 (fma N (+ N 1) 1))) into (exp (atan2 1 (fma N (+ N 1) 1))) * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (atan2 1 (fma N (+ N 1) 1))) -1) into (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) * [misc]backup-simplify: Simplify (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)) into (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1))) into (* 1/3 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)))) into (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) in N * [misc]taylor: Rewrote expression to (pow (expm1 (atan2 1 (fma N (+ N 1) 1))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (expm1 (atan2 1 (fma N (+ N 1) 1)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (expm1 (atan2 1 (fma N (+ N 1) 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 (expm1 (atan2 1 (fma N (+ N 1) 1)))) in N * [misc]taylor: Taking taylor expansion of (expm1 (atan2 1 (fma N (+ N 1) 1))) in N * [misc]taylor: Rewrote expression to (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) * [misc]taylor: Taking taylor expansion of (exp (atan2 1 (fma N (+ N 1) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) * [misc]backup-simplify: Simplify (exp (atan2 1 (fma N (+ N 1) 1))) into (exp (atan2 1 (fma N (+ N 1) 1))) * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (atan2 1 (fma N (+ N 1) 1))) -1) into (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) * [misc]backup-simplify: Simplify (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)) into (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1))) into (* 1/3 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)))) into (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1/3) * [misc]backup-simplify: Simplify (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1/3) into (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1/3) * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma N (+ N 1) 1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma N (+ N 1) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma N (+ N 1) 1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma N (+ N 1) 1))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma N (+ N 1) 1))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma N (+ N 1) 1))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma N (+ N 1) 1))) 1)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1/3) into (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N * [misc]taylor: Rewrote expression to (pow (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 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 (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N * [misc]taylor: Taking taylor expansion of (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N * [misc]taylor: Rewrote expression to (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) * [misc]taylor: Taking taylor expansion of (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) * [misc]backup-simplify: Simplify (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) -1) into (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) * [misc]backup-simplify: Simplify (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)) into (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1))) into (* 1/3 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)))) into (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N * [misc]taylor: Rewrote expression to (pow (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 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 (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N * [misc]taylor: Taking taylor expansion of (expm1 (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N * [misc]taylor: Rewrote expression to (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) * [misc]taylor: Taking taylor expansion of (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) * [misc]backup-simplify: Simplify (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) -1) into (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) * [misc]backup-simplify: Simplify (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)) into (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1))) into (* 1/3 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)))) into (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 1/3) * [misc]backup-simplify: Simplify (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 1/3) into (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 1/3) * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 1)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (- (exp (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1))) 1) 1/3) into (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))) in N * [misc]taylor: Rewrote expression to (pow (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 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 (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))) in N * [misc]taylor: Taking taylor expansion of (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) in N * [misc]taylor: Rewrote expression to (- (exp (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) 1) * [misc]taylor: Taking taylor expansion of (exp (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) -1) into (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) * [misc]backup-simplify: Simplify (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)) into (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1))) into (* 1/3 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)))) into (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))) in N * [misc]taylor: Rewrote expression to (pow (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 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 (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))) in N * [misc]taylor: Taking taylor expansion of (expm1 (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) in N * [misc]taylor: Rewrote expression to (- (exp (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) 1) * [misc]taylor: Taking taylor expansion of (exp (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) -1) into (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) * [misc]backup-simplify: Simplify (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)) into (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1))) into (* 1/3 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)))) into (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 1/3) * [misc]backup-simplify: Simplify (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 1/3) into (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 1/3) * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (exp (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 1)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (- (exp (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1))) 1) 1/3) into (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1/3) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 1 1) * [misc]approximate: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) * [misc]taylor: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 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 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) * [misc]approximate: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 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 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) * [misc]approximate: Taking taylor expansion of (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 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 (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 0 * * [misc]simplify: Extracting #5: cost 7 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 1 * * [misc]simplify: Extracting #7: cost 9 inf + 115 * * [misc]simplify: Extracting #8: cost 5 inf + 337 * * [misc]simplify: Extracting #9: cost 3 inf + 881 * * [misc]simplify: Extracting #10: cost 1 inf + 1695 * * [misc]simplify: Extracting #11: cost 0 inf + 2202 * [exit]simplify: Simplified to (cbrt (* (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (log1p (* (* (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1))))) (* (cbrt (* (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))))) (cbrt (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1))))))))) * * * * [misc]progress: [ 8 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (expm1 (atan2 1 (fma N (+ N 1) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 6 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 1655 * [exit]simplify: Simplified to (cbrt (sqrt (expm1 (atan2 1 (fma N (+ N 1) 1))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (log1p (* (* (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1))))) (* (cbrt (sqrt (expm1 (atan2 1 (fma N (+ N 1) 1))))) (cbrt (sqrt (expm1 (atan2 1 (fma N (+ N 1) 1))))))))) * * * * [misc]progress: [ 9 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (log1p (* (* (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1))))) (* 1 (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))))))) * * * * [misc]progress: [ 10 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 0 * * [misc]simplify: Extracting #5: cost 7 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 1 * * [misc]simplify: Extracting #7: cost 9 inf + 115 * * [misc]simplify: Extracting #8: cost 5 inf + 337 * * [misc]simplify: Extracting #9: cost 3 inf + 881 * * [misc]simplify: Extracting #10: cost 1 inf + 1695 * * [misc]simplify: Extracting #11: cost 0 inf + 2202 * [exit]simplify: Simplified to (cbrt (* (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (N) (log1p (* (* (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) (* (cbrt (* (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))))) (cbrt (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1))))))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1))))))) * * * * [misc]progress: [ 21 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (expm1 (atan2 1 (fma N (+ N 1) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 6 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 1655 * [exit]simplify: Simplified to (cbrt (sqrt (expm1 (atan2 1 (fma N (+ N 1) 1))))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (N) (log1p (* (* (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) (* (cbrt (sqrt (expm1 (atan2 1 (fma N (+ N 1) 1))))) (cbrt (sqrt (expm1 (atan2 1 (fma N (+ N 1) 1))))))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1))))))) * * * * [misc]progress: [ 22 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 2 1) to (λ (N) (log1p (* (* (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) (* 1 (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1))))))) * * * * [misc]progress: [ 23 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 0 * * [misc]simplify: Extracting #5: cost 7 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 1 * * [misc]simplify: Extracting #7: cost 9 inf + 115 * * [misc]simplify: Extracting #8: cost 5 inf + 337 * * [misc]simplify: Extracting #9: cost 3 inf + 881 * * [misc]simplify: Extracting #10: cost 1 inf + 1695 * * [misc]simplify: Extracting #11: cost 0 inf + 2202 * [exit]simplify: Simplified to (cbrt (* (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (N) (log1p (* (* (* (cbrt (* (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))))) (cbrt (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1))))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1))))))) * * * * [misc]progress: [ 34 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (expm1 (atan2 1 (fma N (+ N 1) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 6 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 1655 * [exit]simplify: Simplified to (cbrt (sqrt (expm1 (atan2 1 (fma N (+ N 1) 1))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (N) (log1p (* (* (* (cbrt (sqrt (expm1 (atan2 1 (fma N (+ N 1) 1))))) (cbrt (sqrt (expm1 (atan2 1 (fma N (+ N 1) 1)))))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1))))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1))))))) * * * * [misc]progress: [ 35 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (N) (log1p (* (* (* 1 (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1))))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1))))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1))))))) * * * * [misc]progress: [ 36 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1/3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 3 * * [misc]simplify: Extracting #4: cost 11 inf + 3 * * [misc]simplify: Extracting #5: cost 8 inf + 103 * * [misc]simplify: Extracting #6: cost 4 inf + 339 * * [misc]simplify: Extracting #7: cost 0 inf + 1577 * [exit]simplify: Simplified to (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (log1p (* (* (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1))))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1))))))) * * * * [misc]progress: [ 50 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1/3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 3 * * [misc]simplify: Extracting #4: cost 11 inf + 3 * * [misc]simplify: Extracting #5: cost 8 inf + 103 * * [misc]simplify: Extracting #6: cost 4 inf + 339 * * [misc]simplify: Extracting #7: cost 0 inf + 1577 * [exit]simplify: Simplified to (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (log1p (* (* (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1))))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1))))))) * * * * [misc]progress: [ 51 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1/3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 3 * * [misc]simplify: Extracting #4: cost 11 inf + 3 * * [misc]simplify: Extracting #5: cost 8 inf + 103 * * [misc]simplify: Extracting #6: cost 4 inf + 339 * * [misc]simplify: Extracting #7: cost 0 inf + 1577 * [exit]simplify: Simplified to (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (log1p (* (* (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1))))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1))))))) * * * * [misc]progress: [ 52 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1/3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 3 * * [misc]simplify: Extracting #4: cost 11 inf + 3 * * [misc]simplify: Extracting #5: cost 8 inf + 103 * * [misc]simplify: Extracting #6: cost 4 inf + 339 * * [misc]simplify: Extracting #7: cost 0 inf + 1577 * [exit]simplify: Simplified to (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (N) (log1p (* (* (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1))))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1))))))) * * * * [misc]progress: [ 53 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1/3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 3 * * [misc]simplify: Extracting #4: cost 11 inf + 3 * * [misc]simplify: Extracting #5: cost 8 inf + 103 * * [misc]simplify: Extracting #6: cost 4 inf + 339 * * [misc]simplify: Extracting #7: cost 0 inf + 1577 * [exit]simplify: Simplified to (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (N) (log1p (* (* (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1))))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1))))))) * * * * [misc]progress: [ 54 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1/3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 3 * * [misc]simplify: Extracting #4: cost 11 inf + 3 * * [misc]simplify: Extracting #5: cost 8 inf + 103 * * [misc]simplify: Extracting #6: cost 4 inf + 339 * * [misc]simplify: Extracting #7: cost 0 inf + 1577 * [exit]simplify: Simplified to (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (N) (log1p (* (* (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1))))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1))))))) * * * * [misc]progress: [ 55 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1/3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 3 * * [misc]simplify: Extracting #4: cost 11 inf + 3 * * [misc]simplify: Extracting #5: cost 8 inf + 103 * * [misc]simplify: Extracting #6: cost 4 inf + 339 * * [misc]simplify: Extracting #7: cost 0 inf + 1577 * [exit]simplify: Simplified to (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (log1p (* (* (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1))))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1))))))) * * * * [misc]progress: [ 56 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1/3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 3 * * [misc]simplify: Extracting #4: cost 11 inf + 3 * * [misc]simplify: Extracting #5: cost 8 inf + 103 * * [misc]simplify: Extracting #6: cost 4 inf + 339 * * [misc]simplify: Extracting #7: cost 0 inf + 1577 * [exit]simplify: Simplified to (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (log1p (* (* (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1))))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1))))))) * * * * [misc]progress: [ 57 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (- (exp (atan2 1 (fma N (+ N 1) 1))) 1) 1/3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 3 * * [misc]simplify: Extracting #4: cost 11 inf + 3 * * [misc]simplify: Extracting #5: cost 8 inf + 103 * * [misc]simplify: Extracting #6: cost 4 inf + 339 * * [misc]simplify: Extracting #7: cost 0 inf + 1577 * [exit]simplify: Simplified to (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (log1p (* (* (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1))))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1))))))) * * * * [misc]progress: [ 58 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (fma N (+ N 1) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 574 * [exit]simplify: Simplified to (atan2 1 (fma N (+ N 1) 1)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (N) (log1p (* (* (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1))))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1))))))) * * * * [misc]progress: [ 59 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (fma N (+ N 1) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 574 * [exit]simplify: Simplified to (atan2 1 (fma N (+ N 1) 1)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (N) (log1p (* (* (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1))))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1))))))) * * * * [misc]progress: [ 60 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (fma N (+ N 1) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 574 * [exit]simplify: Simplified to (atan2 1 (fma N (+ N 1) 1)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (N) (log1p (* (* (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1)))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1))))) (cbrt (expm1 (atan2 1 (fma N (+ N 1) 1))))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # #) * * * [misc]regime-changes: Trying 1 branch expressions: (N) * * * * [misc]regimes: Trying to branch on N from (# # # #) * * * [misc]regime: Found split indices: #