* [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: Computing exacts on every 8 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 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate "ALT DATA: "{"picked-error":13.781769017681544,"picked":"(λ (N) (- (atan (+ N 1)) (atan 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* * * [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 (- (atan (+ N 1)) (atan N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ 1 N)) * [misc]taylor: Taking taylor expansion of (atan N) in N * [misc]backup-simplify: Simplify (atan N) into (atan N) * [misc]taylor: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ 1 N)) * [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 (+ 1 N)) (- (atan N))) into (- (atan (+ 1 N)) (atan N)) * [misc]backup-simplify: Simplify (- (atan (+ 1 N)) (atan N)) into (- (atan (+ 1 N)) (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 (+ 1 N)) (atan N)) into (- (atan (+ 1 N)) (atan N)) * [misc]approximate: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (/ 1 N)) in N * [misc]backup-simplify: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (/ 1 N)) in N * [misc]backup-simplify: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) * [misc]backup-simplify: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) * [misc]backup-simplify: Simplify (+ (atan (+ 1 (/ 1 N))) (- (atan (/ 1 N)))) into (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) * [misc]backup-simplify: Simplify (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) into (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (atan (+ 1 (/ 1 (/ 1 N)))) (atan (/ 1 (/ 1 N)))) into (- (atan (+ 1 N)) (atan N)) * [misc]approximate: Taking taylor expansion of (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- N))) in N * [misc]backup-simplify: Simplify (atan (/ 1 (- N))) into (atan (/ -1 N)) * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- N))) in N * [misc]backup-simplify: Simplify (atan (/ 1 (- N))) into (atan (/ -1 N)) * [misc]backup-simplify: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) * [misc]backup-simplify: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) * [misc]backup-simplify: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ 1 N)) (atan N)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (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) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (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) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 2 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (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) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (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) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 3 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (atan N) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * [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 (20 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (- (atan N) (atan N)) * [exit]simplify: Simplified to (- (atan N) (atan N)) * * * * [misc]progress: [ 4 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (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) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (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) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 5 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (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) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (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) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 6 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (atan N) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * [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 (20 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (- (atan N) (atan N)) * [exit]simplify: Simplified to (- (atan N) (atan N)) * * * * [misc]progress: [ 7 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (atan (+ N 1)) (- (* (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: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * [exit]simplify: Simplified to (- (atan (+ N 1)) (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) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 8 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (atan (+ N 1)) (- (* (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: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * [exit]simplify: Simplified to (- (atan (+ N 1)) (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) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 9 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (atan (+ N 1)) (- (* (atan N) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * [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 (20 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (- (atan N) (atan N)) * [exit]simplify: Simplified to (- (atan N) (atan N)) * * * * [misc]progress: [ 10 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (expm1 (- (atan (+ 1 N)) (atan N))) * [exit]simplify: Simplified to (expm1 (- (atan (+ 1 N)) (atan N))) * * * * [misc]progress: [ 11 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (log1p (- (atan (+ 1 N)) (atan N))) * [exit]simplify: Simplified to (log1p (- (atan (+ 1 N)) (atan N))) * * * * [misc]progress: [ 12 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (atan N)) * [exit]simplify: Simplified to (- (atan N)) * * * * [misc]progress: [ 13 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (atan N)) * [exit]simplify: Simplified to (- (atan N)) * * * * [misc]progress: [ 14 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (atan N)) * [exit]simplify: Simplified to (- (atan N)) * * * * [misc]progress: [ 15 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ N 1) N) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (+ 1 (* (+ N 1) N)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (fma (+ N 1) N 1) * [exit]simplify: Simplified to (fma (+ N 1) N 1) * * * * [misc]progress: [ 16 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (atan (+ N 1))) (exp (atan N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (exp (- (atan (+ 1 N)) (atan N))) * [exit]simplify: Simplified to (exp (- (atan (+ 1 N)) (atan N))) * * * * [misc]progress: [ 17 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (log (- (atan (+ 1 N)) (atan N))) * [exit]simplify: Simplified to (log (- (atan (+ 1 N)) (atan N))) * * * * [misc]progress: [ 19 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (exp (- (atan (+ 1 N)) (atan N))) * [exit]simplify: Simplified to (exp (- (atan (+ 1 N)) (atan N))) * * * * [misc]progress: [ 20 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (atan (+ N 1)) (atan N))) (cbrt (- (atan (+ N 1)) (atan N)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (- (atan (+ 1 N)) (atan N))) (cbrt (- (atan (+ 1 N)) (atan N)))) * [exit]simplify: Simplified to (* (cbrt (- (atan (+ 1 N)) (atan N))) (cbrt (- (atan (+ 1 N)) (atan N)))) * [enter]simplify: Simplifying (cbrt (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (cbrt (- (atan (+ 1 N)) (atan N))) * [exit]simplify: Simplified to (cbrt (- (atan (+ 1 N)) (atan N))) * * * * [misc]progress: [ 21 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (309 enodes) * [exit]simplify: Simplified to (pow (- (atan (+ 1 N)) (atan N)) 3) * [exit]simplify: Simplified to (pow (- (atan (+ 1 N)) (atan N)) 3) * * * * [misc]progress: [ 22 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (- (atan (+ 1 N)) (atan N))) * [exit]simplify: Simplified to (sqrt (- (atan (+ 1 N)) (atan N))) * [enter]simplify: Simplifying (sqrt (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (- (atan (+ 1 N)) (atan N))) * [exit]simplify: Simplified to (sqrt (- (atan (+ 1 N)) (atan N))) * * * * [misc]progress: [ 23 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (atan (+ N 1)) 3) (pow (atan N) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (fma (atan (+ 1 N)) (* (atan (+ 1 N)) (atan (+ 1 N))) (* (* (atan N) (atan N)) (- (atan N)))) * [exit]simplify: Simplified to (fma (atan (+ 1 N)) (* (atan (+ 1 N)) (atan (+ 1 N))) (* (* (atan N) (atan N)) (- (atan N)))) * [enter]simplify: Simplifying (+ (* (atan (+ N 1)) (atan (+ N 1))) (+ (* (atan N) (atan N)) (* (atan (+ N 1)) (atan N)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to (fma (atan N) (+ (atan N) (atan (+ 1 N))) (* (atan (+ 1 N)) (atan (+ 1 N)))) * [exit]simplify: Simplified to (fma (atan N) (+ (atan N) (atan (+ 1 N))) (* (atan (+ 1 N)) (atan (+ 1 N)))) * * * * [misc]progress: [ 24 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (atan N)) * [exit]simplify: Simplified to (- (atan N)) * * * * [misc]progress: [ 25 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (* (- (atan (+ 1 N)) (atan N)) (+ (atan N) (atan (+ 1 N)))) * [exit]simplify: Simplified to (* (- (atan (+ 1 N)) (atan N)) (+ (atan N) (atan (+ 1 N)))) * [enter]simplify: Simplifying (+ (atan (+ N 1)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (+ (atan (+ 1 N)) (atan N)) * [exit]simplify: Simplified to (+ (atan (+ 1 N)) (atan N)) * * * * [misc]progress: [ 27 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ (sqrt (atan (+ 1 N))) (sqrt (atan N))) * [exit]simplify: Simplified to (+ (sqrt (atan (+ 1 N))) (sqrt (atan N))) * [enter]simplify: Simplifying (- (sqrt (atan (+ N 1))) (sqrt (atan N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (- (sqrt (atan (+ 1 N))) (sqrt (atan N))) * [exit]simplify: Simplified to (- (sqrt (atan (+ 1 N))) (sqrt (atan N))) * * * * [misc]progress: [ 28 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * * * * [misc]progress: [ 29 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (atan N)) * [exit]simplify: Simplified to (- (atan N)) * * * * [misc]progress: [ 30 / 32 ] 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) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * * * * [misc]progress: [ 31 / 32 ] 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) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * * * * [misc]progress: [ 32 / 32 ] 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) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate "ALT DATA: "{"picked-error":0.44741759819086424,"picked":"(λ (N) (atan2 1 (fma (+ N 1) N 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* * * [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 1) N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (+ 1 N) N 1)) into (atan2 1 (fma (+ 1 N) 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 N) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]approximate: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 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 (/ 1 N))) (/ 1 (/ 1 N)) 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]approximate: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -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 (/ 1 (- N)))) (/ -1 (/ 1 (- N))) 1)) into (atan2 1 (fma (+ 1 N) N 1)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (expm1 (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (expm1 (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 2 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (log1p (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (log1p (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 3 / 12 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (log (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (log (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 5 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (exp (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (exp (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 6 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [enter]simplify: Simplifying (cbrt (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (cbrt (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (cbrt (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 7 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (atan2 1 (fma (+ N 1) N 1)) (atan2 1 (fma (+ N 1) N 1))) (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (pow (atan2 1 (fma (+ N 1) N 1)) 3) * [exit]simplify: Simplified to (pow (atan2 1 (fma (+ N 1) N 1)) 3) * * * * [misc]progress: [ 8 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * [enter]simplify: Simplifying (sqrt (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 9 / 12 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (fma (+ 1 N) N 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 11 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (fma (+ 1 N) N 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 12 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (fma (+ 1 N) N 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate "ALT DATA: "{"picked-error":1.0369676470330742,"picked":"(λ (N) (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 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* * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 (/ 1 N))) (/ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 (/ 1 (- N)))) (/ -1 (/ 1 (- N))) 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 (/ 1 N))) (/ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 (/ 1 (- N)))) (/ -1 (/ 1 (- N))) 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (fma (+ 1 N) N 1))) (sqrt (atan2 1 (fma (+ 1 N) N 1)))) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (+ 1 N) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (+ 1 N) N 1))) 0) (* 0 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (+ 1 N) N 1))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (+ 1 N) N 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (+ 1 N) N 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (+ 1 N) N 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (+ 1 N) N 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (+ 1 N) N 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (+ 1 N) N 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (+ 1 N) N 1))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (+ 1 N) N 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (+ 1 N) N 1)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (+ 1 N) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]approximate: Taking taylor expansion of (* (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)))) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) 0) (* 0 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (+ 1 (/ 1 (/ 1 N))) (/ 1 (/ 1 N)) 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]approximate: Taking taylor expansion of (* (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)))) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) 0) (* 0 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (- 1 (/ 1 (/ 1 (- N)))) (/ -1 (/ 1 (- N))) 1)) into (atan2 1 (fma (+ 1 N) N 1)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (+ 1 N) N 1)) into (atan2 1 (fma (+ 1 N) 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 N) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]approximate: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 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 (/ 1 N))) (/ 1 (/ 1 N)) 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]approximate: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -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 (/ 1 (- N)))) (/ -1 (/ 1 (- N))) 1)) into (atan2 1 (fma (+ 1 N) N 1)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (expm1 (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 2 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (log1p (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (log1p (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 3 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 6 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (exp (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (exp (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 7 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * [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 (23 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * [enter]simplify: Simplifying (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 8 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* (atan2 1 (fma (+ N 1) N 1)) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (* (atan2 1 (fma (+ N 1) N 1)) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 9 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (atan2 1 (fma (+ N 1) N 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [enter]simplify: Simplifying (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 10 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 11 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 12 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 13 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (expm1 (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 16 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (log1p (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (log1p (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 17 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 20 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (exp (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (exp (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 21 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * [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 (23 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * [enter]simplify: Simplifying (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 22 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* (atan2 1 (fma (+ N 1) N 1)) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (* (atan2 1 (fma (+ N 1) N 1)) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 23 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (atan2 1 (fma (+ N 1) N 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [enter]simplify: Simplifying (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 24 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 25 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 26 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 27 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (expm1 (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (expm1 (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 30 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (log1p (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (log1p (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 31 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1/2 1/2) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (+ 1/2 1/2) * [exit]simplify: Simplified to (+ 1/2 1/2) * * * * [misc]progress: [ 32 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [exit]simplify: Simplified to (+ 1 1) * * * * [misc]progress: [ 33 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (atan2 1 (fma (+ N 1) N 1)) (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* (atan2 1 (fma (+ N 1) N 1)) (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (* (atan2 1 (fma (+ N 1) N 1)) (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 34 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 35 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [exit]simplify: Simplified to (+ 1 1) * * * * [misc]progress: [ 37 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) (log (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * [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 (23 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) (log (sqrt (atan2 1 (fma (+ N 1) N 1))))) * [exit]simplify: Simplified to (+ (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) (log (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * * * [misc]progress: [ 39 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (log (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (log (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 40 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (exp (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (exp (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 41 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) (* (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (pow (atan2 1 (fma (+ N 1) N 1)) 3) * [exit]simplify: Simplified to (pow (atan2 1 (fma (+ N 1) N 1)) 3) * * * * [misc]progress: [ 42 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))))) (cbrt (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [enter]simplify: Simplifying (cbrt (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (cbrt (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (cbrt (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 43 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))))) (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (pow (atan2 1 (fma (+ N 1) N 1)) 3) * [exit]simplify: Simplified to (pow (atan2 1 (fma (+ N 1) N 1)) 3) * * * * [misc]progress: [ 44 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (atan2 1 (fma (+ N 1) N 1)) (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* (atan2 1 (fma (+ N 1) N 1)) (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (* (atan2 1 (fma (+ N 1) N 1)) (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 45 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * [enter]simplify: Simplifying (sqrt (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 46 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))))) * [exit]simplify: Simplified to (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))))) * * * * [misc]progress: [ 49 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (* (cbrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (atan2 1 (fma (+ N 1) N 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (* (fabs (cbrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 50 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 51 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* (sqrt 1) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (* (sqrt 1) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 52 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 53 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ N 1) N 1))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 54 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 55 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1))))) * [exit]simplify: Simplified to (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1))))) * * * * [misc]progress: [ 56 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 57 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 58 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 59 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 60 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (expm1 (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (expm1 (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 62 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (log1p (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (log1p (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 63 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (log (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (log (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 65 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (exp (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (exp (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 66 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [enter]simplify: Simplifying (cbrt (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (cbrt (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (cbrt (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 67 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (atan2 1 (fma (+ N 1) N 1)) (atan2 1 (fma (+ N 1) N 1))) (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (pow (atan2 1 (fma (+ N 1) N 1)) 3) * [exit]simplify: Simplified to (pow (atan2 1 (fma (+ N 1) N 1)) 3) * * * * [misc]progress: [ 68 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * [enter]simplify: Simplifying (sqrt (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 69 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ 1 N) N 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 71 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ 1 N) N 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 72 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ 1 N) N 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 73 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ 1 N) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 74 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ 1 N) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 75 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ 1 N) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 76 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (fma (+ 1 N) N 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 77 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (fma (+ 1 N) N 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 78 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (fma (+ 1 N) N 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 79 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ 1 N) N 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 80 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ 1 N) N 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 81 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ 1 N) N 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate "ALT DATA: "{"picked-error":1.0835489458752845,"picked":"(λ (N) (* (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 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* * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 (/ 1 N))) (/ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 (/ 1 (- N)))) (/ -1 (/ 1 (- N))) 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 (/ 1 N))) (/ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 (/ 1 (- N)))) (/ -1 (/ 1 (- N))) 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 (/ 1 N))) (/ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 (/ 1 (- N)))) (/ -1 (/ 1 (- N))) 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (+ 1 N) N 1)) into (atan2 1 (fma (+ 1 N) 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 N) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]approximate: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 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 (/ 1 N))) (/ 1 (/ 1 N)) 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]approximate: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -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 (/ 1 (- N)))) (/ -1 (/ 1 (- N))) 1)) into (atan2 1 (fma (+ 1 N) N 1)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (expm1 (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 2 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (log1p (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (log1p (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 3 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 6 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (exp (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (exp (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 7 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * [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 (23 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * [enter]simplify: Simplifying (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 8 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* (atan2 1 (fma (+ N 1) N 1)) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (* (atan2 1 (fma (+ N 1) N 1)) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 9 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (atan2 1 (fma (+ N 1) N 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [enter]simplify: Simplifying (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 10 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 11 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 12 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 13 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (expm1 (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 16 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (log1p (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (log1p (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 17 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 20 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (exp (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (exp (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 21 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * [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 (23 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * [enter]simplify: Simplifying (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 22 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* (atan2 1 (fma (+ N 1) N 1)) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (* (atan2 1 (fma (+ N 1) N 1)) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 23 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (atan2 1 (fma (+ N 1) N 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [enter]simplify: Simplifying (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 24 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 25 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 26 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 27 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (expm1 (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 30 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (log1p (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (log1p (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 31 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 34 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (exp (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (exp (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 35 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * [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 (23 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * [enter]simplify: Simplifying (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 36 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* (atan2 1 (fma (+ N 1) N 1)) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (* (atan2 1 (fma (+ N 1) N 1)) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 37 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (atan2 1 (fma (+ N 1) N 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [enter]simplify: Simplifying (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 38 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 39 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 40 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 41 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (expm1 (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (expm1 (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 44 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (log1p (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (log1p (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 45 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (log (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (log (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 47 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (exp (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (exp (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 48 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [enter]simplify: Simplifying (cbrt (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (cbrt (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (cbrt (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 49 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (atan2 1 (fma (+ N 1) N 1)) (atan2 1 (fma (+ N 1) N 1))) (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (pow (atan2 1 (fma (+ N 1) N 1)) 3) * [exit]simplify: Simplified to (pow (atan2 1 (fma (+ N 1) N 1)) 3) * * * * [misc]progress: [ 50 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * [enter]simplify: Simplifying (sqrt (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 51 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) (sqrt (sqrt (atan2 1 (fma (+ 1 N) N 1))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 53 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) (sqrt (sqrt (atan2 1 (fma (+ 1 N) N 1))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 54 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) (sqrt (sqrt (atan2 1 (fma (+ 1 N) N 1))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 55 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (sqrt (atan2 1 (fma (+ 1 N) N 1))))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 56 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (sqrt (atan2 1 (fma (+ 1 N) N 1))))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 57 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (sqrt (atan2 1 (fma (+ 1 N) N 1))))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 58 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (atan2 1 (fma (+ 1 N) N 1))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 59 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (atan2 1 (fma (+ 1 N) N 1))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 60 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (atan2 1 (fma (+ 1 N) N 1))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 61 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) (sqrt (sqrt (atan2 1 (fma (+ 1 N) N 1))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 62 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) (sqrt (sqrt (atan2 1 (fma (+ 1 N) N 1))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 63 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) (sqrt (sqrt (atan2 1 (fma (+ 1 N) N 1))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (- (atan (+ N 1)) (atan N)) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (+ N 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ 1 N) * [exit]simplify: Simplified to (+ 1 N) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8000 points with exact outputs