* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate "ALT DATA: 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(N) (- (atan (+ N 1)) (atan N)))"}* * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) * [misc]taylor: Taking taylor expansion of (atan N) in N * [misc]backup-simplify: Simplify (atan N) into (atan N) * [misc]taylor: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) * [misc]taylor: Taking taylor expansion of (atan N) in N * [misc]backup-simplify: Simplify (atan N) into (atan N) * [misc]backup-simplify: Simplify (- (atan N)) into (- (atan N)) * [misc]backup-simplify: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N)) * [misc]backup-simplify: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) * [misc]approximate: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) * [misc]taylor: Taking taylor expansion of (atan (/ 1 N)) in N * [misc]backup-simplify: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) * [misc]taylor: Taking taylor expansion of (atan (/ 1 N)) in N * [misc]backup-simplify: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) * [misc]backup-simplify: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) * [misc]backup-simplify: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) * [misc]backup-simplify: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N)) * [misc]approximate: Taking taylor expansion of (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- N))) in N * [misc]backup-simplify: Simplify (atan (/ 1 (- N))) into (atan (/ -1 N)) * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- N))) in N * [misc]backup-simplify: Simplify (atan (/ 1 (- N))) into (atan (/ -1 N)) * [misc]backup-simplify: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) * [misc]backup-simplify: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) * [misc]backup-simplify: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N)) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (atan (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) * [misc]approximate: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1)) * [misc]approximate: Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ N 1)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 44 ] 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 (+ 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: [ 2 / 44 ] 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 (+ 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: [ 3 / 44 ] 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 (+ 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: [ 4 / 44 ] 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 (+ 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: [ 5 / 44 ] 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 (+ 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: [ 6 / 44 ] 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 (+ 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: [ 7 / 44 ] 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 (+ 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: [ 8 / 44 ] 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 (+ 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: [ 9 / 44 ] 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 (+ 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: [ 10 / 44 ] 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 (+ N 1)) (atan N))) * [exit]simplify: Simplified to (expm1 (- (atan (+ N 1)) (atan N))) * * * * [misc]progress: [ 11 / 44 ] 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 (+ N 1)) (atan N))) * [exit]simplify: Simplified to (log1p (- (atan (+ N 1)) (atan N))) * * * * [misc]progress: [ 12 / 44 ] 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 / 44 ] 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 / 44 ] 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 / 44 ] 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 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (atan (+ N 1))) (exp (atan N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (exp (- (atan (+ N 1)) (atan N))) * [exit]simplify: Simplified to (exp (- (atan (+ N 1)) (atan N))) * * * * [misc]progress: [ 17 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (log (- (atan (+ N 1)) (atan N))) * [exit]simplify: Simplified to (log (- (atan (+ N 1)) (atan N))) * * * * [misc]progress: [ 19 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (exp (- (atan (+ N 1)) (atan N))) * [exit]simplify: Simplified to (exp (- (atan (+ N 1)) (atan N))) * * * * [misc]progress: [ 20 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (atan (+ N 1)) (atan N))) (cbrt (- (atan (+ N 1)) (atan N)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (- (atan (+ N 1)) (atan N))) (cbrt (- (atan (+ N 1)) (atan N)))) * [exit]simplify: Simplified to (* (cbrt (- (atan (+ N 1)) (atan N))) (cbrt (- (atan (+ N 1)) (atan N)))) * [enter]simplify: Simplifying (cbrt (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (cbrt (- (atan (+ N 1)) (atan N))) * [exit]simplify: Simplified to (cbrt (- (atan (+ N 1)) (atan N))) * * * * [misc]progress: [ 21 / 44 ] 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 (303 enodes) * [exit]simplify: Simplified to (pow (- (atan (+ N 1)) (atan N)) 3) * [exit]simplify: Simplified to (pow (- (atan (+ N 1)) (atan N)) 3) * * * * [misc]progress: [ 22 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (- (atan (+ N 1)) (atan N))) * [exit]simplify: Simplified to (sqrt (- (atan (+ N 1)) (atan N))) * [enter]simplify: Simplifying (sqrt (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (- (atan (+ N 1)) (atan N))) * [exit]simplify: Simplified to (sqrt (- (atan (+ N 1)) (atan N))) * * * * [misc]progress: [ 23 / 44 ] 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 (+ N 1)) (* (atan (+ N 1)) (atan (+ N 1))) (* (- (atan N)) (* (atan N) (atan N)))) * [exit]simplify: Simplified to (fma (atan (+ N 1)) (* (atan (+ N 1)) (atan (+ N 1))) (* (- (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 1)) (atan N)) (* (atan (+ N 1)) (atan (+ N 1)))) * [exit]simplify: Simplified to (fma (atan N) (+ (atan (+ N 1)) (atan N)) (* (atan (+ N 1)) (atan (+ N 1)))) * * * * [misc]progress: [ 24 / 44 ] 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 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 44 ] 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 (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N))) * [exit]simplify: Simplified to (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N))) * [enter]simplify: Simplifying (+ (atan (+ N 1)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (+ (atan N) (atan (+ N 1))) * [exit]simplify: Simplified to (+ (atan N) (atan (+ N 1))) * * * * [misc]progress: [ 27 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ (sqrt (atan N)) (sqrt (atan (+ N 1)))) * [exit]simplify: Simplified to (+ (sqrt (atan N)) (sqrt (atan (+ N 1)))) * [enter]simplify: Simplifying (- (sqrt (atan (+ N 1))) (sqrt (atan N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (- (sqrt (atan (+ N 1))) (sqrt (atan N))) * [exit]simplify: Simplified to (- (sqrt (atan (+ N 1))) (sqrt (atan N))) * * * * [misc]progress: [ 28 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * * * * [misc]progress: [ 29 / 44 ] 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 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (atan (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (expm1 (atan (+ N 1))) * [exit]simplify: Simplified to (expm1 (atan (+ N 1))) * * * * [misc]progress: [ 31 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (atan (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log1p (atan (+ N 1))) * [exit]simplify: Simplified to (log1p (atan (+ N 1))) * * * * [misc]progress: [ 32 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (atan (+ N 1))) * [exit]simplify: Simplified to (log (atan (+ N 1))) * * * * [misc]progress: [ 34 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (exp (atan (+ N 1))) * [exit]simplify: Simplified to (exp (atan (+ N 1))) * * * * [misc]progress: [ 35 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) * [exit]simplify: Simplified to (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) * [enter]simplify: Simplifying (cbrt (atan (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (atan (+ N 1))) * [exit]simplify: Simplified to (cbrt (atan (+ N 1))) * * * * [misc]progress: [ 36 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (atan (+ N 1)) (atan (+ N 1))) (atan (+ N 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (pow (atan (+ N 1)) 3) * [exit]simplify: Simplified to (pow (atan (+ N 1)) 3) * * * * [misc]progress: [ 37 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (atan (+ N 1))) * [exit]simplify: Simplified to (sqrt (atan (+ N 1))) * [enter]simplify: Simplifying (sqrt (atan (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (atan (+ N 1))) * [exit]simplify: Simplified to (sqrt (atan (+ N 1))) * * * * [misc]progress: [ 38 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * * * * [misc]progress: [ 40 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * * * * [misc]progress: [ 41 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * * * * [misc]progress: [ 42 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * * * * [misc]progress: [ 43 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * * * * [misc]progress: [ 44 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate "ALT DATA: 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(N) (atan2 1 (fma N (+ 1 N) 1)))"}* * * * [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 N (+ N 1) 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 N (+ N 1) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) * [misc]approximate: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ 1 (/ 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 N) (+ (/ 1 N) 1) 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 N) (+ (/ 1 N) 1) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) * [misc]approximate: Taking taylor expansion of (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 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 N) (- 1 (/ 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 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 12 ] simplifiying candidate # * [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 (20 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (41 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 (20 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (41 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 (20 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (41 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 (20 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (41 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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (+ (fma N N N) 1))) (cbrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (+ (fma N N N) 1))) (cbrt (atan2 1 (+ (fma N N 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 (20 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (41 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 (24 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (pow (atan2 1 (+ (fma N N N) 1)) 3) * [exit]simplify: Simplified to (pow (atan2 1 (+ (fma N N 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 (20 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (41 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 (20 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (41 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 N (+ N 1) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (atan2 1 (fma N (+ 1 N) 1)) * * * * [misc]progress: [ 11 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (fma N (+ N 1) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (atan2 1 (fma N (+ 1 N) 1)) * * * * [misc]progress: [ 12 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (fma N (+ N 1) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [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: 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(N) (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))))"}* * * * [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 N (+ N 1) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 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 N (+ N 1) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 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 N (+ N 1) 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 N (+ N 1) 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 N (+ N 1) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 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 N) (+ (/ 1 N) 1) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 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 N) (+ (/ 1 N) 1) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 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) (+ (/ 1 N) 1) 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) (+ (/ 1 N) 1) 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) (+ (/ 1 N) 1) 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) (+ (/ 1 N) 1) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 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 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 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 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 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 N) (- 1 (/ 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 N) (- 1 (/ 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 N) (- 1 (/ 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 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 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 N (+ N 1) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 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 N (+ N 1) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 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 N (+ N 1) 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 N (+ N 1) 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 N (+ N 1) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 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 N) (+ (/ 1 N) 1) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 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 N) (+ (/ 1 N) 1) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 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) (+ (/ 1 N) 1) 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) (+ (/ 1 N) 1) 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) (+ (/ 1 N) 1) 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) (+ (/ 1 N) 1) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 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 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 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 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 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 N) (- 1 (/ 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 N) (- 1 (/ 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 N) (- 1 (/ 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 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 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 N (+ N 1) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 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 N (+ N 1) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 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 N (+ N 1) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 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 N (+ N 1) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1)))) into (atan2 1 (fma N (+ N 1) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma N (+ N 1) 1))) 0) (* 0 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma N (+ N 1) 1))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma N (+ N 1) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma N (+ N 1) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma N (+ N 1) 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 N (+ N 1) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma N (+ N 1) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma N (+ N 1) 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 N (+ N 1) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma N (+ N 1) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma N (+ N 1) 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 N (+ N 1) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma N (+ N 1) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma N (+ N 1) 1)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) * [misc]approximate: Taking taylor expansion of (* (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 N) (+ (/ 1 N) 1) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 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 N) (+ (/ 1 N) 1) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 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 N) (+ (/ 1 N) 1) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 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 N) (+ (/ 1 N) 1) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 0) (* 0 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 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) (+ (/ 1 N) 1) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 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) (+ (/ 1 N) 1) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 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) (+ (/ 1 N) 1) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 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) (+ (/ 1 N) 1) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 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) (+ (/ 1 N) 1) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) * [misc]approximate: Taking taylor expansion of (* (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 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 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 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 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 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 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 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 0) (* 0 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 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 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 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 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 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 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 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 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 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 N) (- 1 (/ 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 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1)) * * * * [misc]progress: [ 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 N (+ N 1) 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 N (+ N 1) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) * [misc]approximate: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ 1 (/ 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 N) (+ (/ 1 N) 1) 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 N) (+ (/ 1 N) 1) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) * [misc]approximate: Taking taylor expansion of (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 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 N) (- 1 (/ 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 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (expm1 (sqrt (atan2 1 (+ (fma N N 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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (log1p (sqrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (log1p (sqrt (atan2 1 (+ (fma N N 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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (log (sqrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (log (sqrt (atan2 1 (+ (fma N N 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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (exp (sqrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (exp (sqrt (atan2 1 (+ (fma N N 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 (22 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ 1 N) N 1))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ 1 N) 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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (+ (fma N N 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 (26 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (sqrt (atan2 1 (+ (fma N N 1) N))) (atan2 1 (+ (fma N N 1) N))) * [exit]simplify: Simplified to (* (sqrt (atan2 1 (+ (fma N N 1) N))) (atan2 1 (+ (fma N N 1) N))) * * * * [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 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (+ (fma N N 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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (fma N N 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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (fma N N 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 (20 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (41 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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (fma N N 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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (fma N N 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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (expm1 (sqrt (atan2 1 (+ (fma N N 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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (log1p (sqrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (log1p (sqrt (atan2 1 (+ (fma N N 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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (log (sqrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (log (sqrt (atan2 1 (+ (fma N N 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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (exp (sqrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (exp (sqrt (atan2 1 (+ (fma N N 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 (22 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ 1 N) N 1))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ 1 N) 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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (+ (fma N N 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 (26 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (sqrt (atan2 1 (+ (fma N N 1) N))) (atan2 1 (+ (fma N N 1) N))) * [exit]simplify: Simplified to (* (sqrt (atan2 1 (+ (fma N N 1) N))) (atan2 1 (+ (fma N N 1) N))) * * * * [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 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (+ (fma N N 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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (fma N N 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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (fma N N 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 (20 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (41 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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (fma N N 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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (fma N N 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 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 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 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 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 (20 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (41 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 (22 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ 1 N) N 1)) * [exit]simplify: Simplified to (atan2 1 (fma (+ 1 N) 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 (22 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (log (sqrt (atan2 1 (fma (+ 1 N) N 1))))) * [exit]simplify: Simplified to (+ (log (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (log (sqrt (atan2 1 (fma (+ 1 N) 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 (25 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (51 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 (25 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (51 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 (37 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (75 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 (24 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 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 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 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 (39 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (83 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 (20 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (41 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 (24 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 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 (24 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 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 (28 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ 1 N) N 1))))) (sqrt (atan2 1 (fma (+ 1 N) N 1)))) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ 1 N) N 1))))) (sqrt (atan2 1 (fma (+ 1 N) 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 (26 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (* (sqrt (atan2 1 (+ (fma N N N) 1))) (fabs (cbrt (atan2 1 (+ (fma N N N) 1))))) * [exit]simplify: Simplified to (* (sqrt (atan2 1 (+ (fma N N N) 1))) (fabs (cbrt (atan2 1 (+ (fma N N 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 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) * [exit]simplify: Simplified to (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (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 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt 1)) * [exit]simplify: Simplified to (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt 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 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) * [exit]simplify: Simplified to (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (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 (24 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (fma N N N) 1))) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (fma N N 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 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (48 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))))) * [exit]simplify: Simplified to (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (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 (24 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 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 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) * [exit]simplify: Simplified to (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (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 (22 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ 1 N) N 1)) * [exit]simplify: Simplified to (atan2 1 (fma (+ 1 N) 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 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) * [exit]simplify: Simplified to (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (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 (22 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ 1 N) N 1)) * [exit]simplify: Simplified to (atan2 1 (fma (+ 1 N) 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 (20 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (41 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 (20 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (41 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 (20 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (41 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 (20 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (41 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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (+ (fma N N N) 1))) (cbrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (+ (fma N N N) 1))) (cbrt (atan2 1 (+ (fma N N 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 (20 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (41 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 (24 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (pow (atan2 1 (+ (fma N N N) 1)) 3) * [exit]simplify: Simplified to (pow (atan2 1 (+ (fma N N 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 (20 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (41 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 (20 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (41 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 N (+ N 1) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (fma N N 1) N)) * * * * [misc]progress: [ 71 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (fma N N 1) N)) * * * * [misc]progress: [ 72 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (fma N N 1) N)) * * * * [misc]progress: [ 73 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma N (+ N 1) 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 (28 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (fma N N 1) N)) * * * * [misc]progress: [ 74 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma N (+ N 1) 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 (28 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (fma N N 1) N)) * * * * [misc]progress: [ 75 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma N (+ N 1) 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 (28 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (fma N N 1) N)) * * * * [misc]progress: [ 76 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (fma N (+ N 1) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (atan2 1 (fma N (+ 1 N) 1)) * * * * [misc]progress: [ 77 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (fma N (+ N 1) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (atan2 1 (fma N (+ 1 N) 1)) * * * * [misc]progress: [ 78 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (fma N (+ N 1) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [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 N (+ N 1) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (fma N N 1) N)) * * * * [misc]progress: [ 80 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (fma N N 1) N)) * * * * [misc]progress: [ 81 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (fma N N 1) N)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate "ALT DATA: 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(N) (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (* (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))))))"}* * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 1) * [misc]approximate: Taking taylor expansion of (cbrt (atan2 1 (fma N (+ 1 N) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (atan2 1 (fma N (+ 1 N) 1))) in N * [misc]taylor: Rewrote expression to (pow (atan2 1 (fma N (+ 1 N) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (fma N (+ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (atan2 1 (fma N (+ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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 N (+ N 1) 1)) * [misc]backup-simplify: Simplify (log (atan2 1 (fma N (+ N 1) 1))) into (log (atan2 1 (fma N (+ N 1) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan2 1 (fma N (+ N 1) 1)))) into (* 1/3 (log (atan2 1 (fma N (+ N 1) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan2 1 (fma N (+ N 1) 1))))) into (pow (atan2 1 (fma N (+ N 1) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (atan2 1 (fma N (+ 1 N) 1))) in N * [misc]taylor: Rewrote expression to (pow (atan2 1 (fma N (+ 1 N) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (fma N (+ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (atan2 1 (fma N (+ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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 N (+ N 1) 1)) * [misc]backup-simplify: Simplify (log (atan2 1 (fma N (+ N 1) 1))) into (log (atan2 1 (fma N (+ N 1) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan2 1 (fma N (+ N 1) 1)))) into (* 1/3 (log (atan2 1 (fma N (+ N 1) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan2 1 (fma N (+ N 1) 1))))) into (pow (atan2 1 (fma N (+ N 1) 1)) 1/3) * [misc]backup-simplify: Simplify (pow (atan2 1 (fma N (+ N 1) 1)) 1/3) into (pow (atan2 1 (fma N (+ N 1) 1)) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan2 1 (fma N (+ N 1) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma N (+ N 1) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1 (fma N (+ N 1) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma N (+ N 1) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma N (+ N 1) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1 (fma N (+ N 1) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma N (+ N 1) 1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma N (+ N 1) 1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1 (fma N (+ N 1) 1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1 (fma N (+ N 1) 1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma N (+ N 1) 1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma N (+ N 1) 1))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1 (fma N (+ N 1) 1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1 (fma N (+ N 1) 1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma N (+ N 1) 1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma N (+ N 1) 1))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1 (fma N (+ N 1) 1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1 (fma N (+ N 1) 1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1 (fma N (+ N 1) 1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1 (fma N (+ N 1) 1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma N (+ N 1) 1)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma N (+ N 1) 1))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (atan2 1 (fma N (+ N 1) 1)) 1/3) into (pow (atan2 1 (fma N (+ N 1) 1)) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) in N * [misc]taylor: Rewrote expression to (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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 N) (+ (/ 1 N) 1) 1)) * [misc]backup-simplify: Simplify (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) into (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) in N * [misc]taylor: Rewrote expression to (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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 N) (+ (/ 1 N) 1) 1)) * [misc]backup-simplify: Simplify (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) into (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1/3) * [misc]backup-simplify: Simplify (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1/3) into (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) 1/3) into (pow (atan2 1 (fma N (+ N 1) 1)) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) in N * [misc]taylor: Rewrote expression to (pow (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) into (* 1/3 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) in N * [misc]taylor: Rewrote expression to (pow (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) into (* 1/3 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/3) * [misc]backup-simplify: Simplify (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/3) into (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) 1/3) into (pow (atan2 1 (fma N (+ N 1) 1)) 1/3) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (atan2 1 (fma N (+ 1 N) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (atan2 1 (fma N (+ 1 N) 1))) in N * [misc]taylor: Rewrote expression to (pow (atan2 1 (fma N (+ 1 N) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (fma N (+ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (atan2 1 (fma N (+ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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 N (+ N 1) 1)) * [misc]backup-simplify: Simplify (log (atan2 1 (fma N (+ N 1) 1))) into (log (atan2 1 (fma N (+ N 1) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan2 1 (fma N (+ N 1) 1)))) into (* 1/3 (log (atan2 1 (fma N (+ N 1) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan2 1 (fma N (+ N 1) 1))))) into (pow (atan2 1 (fma N (+ N 1) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (atan2 1 (fma N (+ 1 N) 1))) in N * [misc]taylor: Rewrote expression to (pow (atan2 1 (fma N (+ 1 N) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (fma N (+ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (atan2 1 (fma N (+ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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 N (+ N 1) 1)) * [misc]backup-simplify: Simplify (log (atan2 1 (fma N (+ N 1) 1))) into (log (atan2 1 (fma N (+ N 1) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan2 1 (fma N (+ N 1) 1)))) into (* 1/3 (log (atan2 1 (fma N (+ N 1) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan2 1 (fma N (+ N 1) 1))))) into (pow (atan2 1 (fma N (+ N 1) 1)) 1/3) * [misc]backup-simplify: Simplify (pow (atan2 1 (fma N (+ N 1) 1)) 1/3) into (pow (atan2 1 (fma N (+ N 1) 1)) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan2 1 (fma N (+ N 1) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma N (+ N 1) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1 (fma N (+ N 1) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma N (+ N 1) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma N (+ N 1) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1 (fma N (+ N 1) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma N (+ N 1) 1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma N (+ N 1) 1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1 (fma N (+ N 1) 1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1 (fma N (+ N 1) 1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma N (+ N 1) 1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma N (+ N 1) 1))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1 (fma N (+ N 1) 1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1 (fma N (+ N 1) 1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma N (+ N 1) 1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma N (+ N 1) 1))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1 (fma N (+ N 1) 1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1 (fma N (+ N 1) 1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1 (fma N (+ N 1) 1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1 (fma N (+ N 1) 1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma N (+ N 1) 1)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma N (+ N 1) 1))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (atan2 1 (fma N (+ N 1) 1)) 1/3) into (pow (atan2 1 (fma N (+ N 1) 1)) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) in N * [misc]taylor: Rewrote expression to (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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 N) (+ (/ 1 N) 1) 1)) * [misc]backup-simplify: Simplify (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) into (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) in N * [misc]taylor: Rewrote expression to (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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 N) (+ (/ 1 N) 1) 1)) * [misc]backup-simplify: Simplify (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) into (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1/3) * [misc]backup-simplify: Simplify (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1/3) into (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) 1/3) into (pow (atan2 1 (fma N (+ N 1) 1)) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) in N * [misc]taylor: Rewrote expression to (pow (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) into (* 1/3 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) in N * [misc]taylor: Rewrote expression to (pow (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) into (* 1/3 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/3) * [misc]backup-simplify: Simplify (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/3) into (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) 1/3) into (pow (atan2 1 (fma N (+ N 1) 1)) 1/3) * * * * [misc]progress: [ 3 / 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 N (+ N 1) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 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 N (+ N 1) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 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 N (+ N 1) 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 N (+ N 1) 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 N (+ N 1) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 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 N) (+ (/ 1 N) 1) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 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 N) (+ (/ 1 N) 1) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 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) (+ (/ 1 N) 1) 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) (+ (/ 1 N) 1) 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) (+ (/ 1 N) 1) 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) (+ (/ 1 N) 1) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 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 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 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 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 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 N) (- 1 (/ 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 N) (- 1 (/ 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 N) (- 1 (/ 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 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1)))) in N * [misc]backup-simplify: Simplify (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1)))) into (fabs (cbrt (atan2 1 (fma N (+ N 1) 1)))) * [misc]taylor: Taking taylor expansion of (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (atan2 1 (fma N (+ 1 N) 1))) in N * [misc]taylor: Rewrote expression to (pow (atan2 1 (fma N (+ 1 N) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (fma N (+ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (atan2 1 (fma N (+ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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 N (+ N 1) 1)) * [misc]backup-simplify: Simplify (log (atan2 1 (fma N (+ N 1) 1))) into (log (atan2 1 (fma N (+ N 1) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan2 1 (fma N (+ N 1) 1)))) into (* 1/3 (log (atan2 1 (fma N (+ N 1) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan2 1 (fma N (+ N 1) 1))))) into (pow (atan2 1 (fma N (+ N 1) 1)) 1/3) * [misc]backup-simplify: Simplify (sqrt (pow (atan2 1 (fma N (+ N 1) 1)) 1/3)) into (pow (atan2 1 (fma N (+ N 1) 1)) 1/6) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan2 1 (fma N (+ N 1) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma N (+ N 1) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow (atan2 1 (fma N (+ N 1) 1)) 1/3)))) into 0 * [misc]taylor: Taking taylor expansion of (* (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1)))) in N * [misc]backup-simplify: Simplify (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1)))) into (fabs (cbrt (atan2 1 (fma N (+ N 1) 1)))) * [misc]taylor: Taking taylor expansion of (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (atan2 1 (fma N (+ 1 N) 1))) in N * [misc]taylor: Rewrote expression to (pow (atan2 1 (fma N (+ 1 N) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (fma N (+ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (atan2 1 (fma N (+ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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 N (+ N 1) 1)) * [misc]backup-simplify: Simplify (log (atan2 1 (fma N (+ N 1) 1))) into (log (atan2 1 (fma N (+ N 1) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan2 1 (fma N (+ N 1) 1)))) into (* 1/3 (log (atan2 1 (fma N (+ N 1) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan2 1 (fma N (+ N 1) 1))))) into (pow (atan2 1 (fma N (+ N 1) 1)) 1/3) * [misc]backup-simplify: Simplify (sqrt (pow (atan2 1 (fma N (+ N 1) 1)) 1/3)) into (pow (atan2 1 (fma N (+ N 1) 1)) 1/6) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan2 1 (fma N (+ N 1) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma N (+ N 1) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow (atan2 1 (fma N (+ N 1) 1)) 1/3)))) into 0 * [misc]backup-simplify: Simplify (* (fabs (cbrt (atan2 1 (fma N (+ N 1) 1)))) (pow (atan2 1 (fma N (+ N 1) 1)) 1/6)) into (* (pow (atan2 1 (fma N (+ N 1) 1)) 1/6) (fabs (cbrt (atan2 1 (fma N (+ N 1) 1))))) * [misc]backup-simplify: Simplify (* (pow (atan2 1 (fma N (+ N 1) 1)) 1/6) (fabs (cbrt (atan2 1 (fma N (+ N 1) 1))))) into (* (fabs (cbrt (atan2 1 (fma N (+ N 1) 1)))) (pow (atan2 1 (fma N (+ N 1) 1)) 1/6)) * [misc]backup-simplify: Simplify (+ (* (fabs (cbrt (atan2 1 (fma N (+ N 1) 1)))) 0) (* 0 (pow (atan2 1 (fma N (+ N 1) 1)) 1/6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1 (fma N (+ N 1) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma N (+ N 1) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma N (+ N 1) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (atan2 1 (fma N (+ N 1) 1)) 1/6))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (cbrt (atan2 1 (fma N (+ N 1) 1)))) 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma N (+ N 1) 1)) 1/6)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1 (fma N (+ N 1) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma N (+ N 1) 1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma N (+ N 1) 1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma N (+ N 1) 1)) 1/6))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (cbrt (atan2 1 (fma N (+ N 1) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma N (+ N 1) 1)) 1/6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1 (fma N (+ N 1) 1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1 (fma N (+ N 1) 1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma N (+ N 1) 1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma N (+ N 1) 1))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma N (+ N 1) 1)) 1/6))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (cbrt (atan2 1 (fma N (+ N 1) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma N (+ N 1) 1)) 1/6)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1 (fma N (+ N 1) 1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1 (fma N (+ N 1) 1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma N (+ N 1) 1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma N (+ N 1) 1))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma N (+ N 1) 1)) 1/6))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (cbrt (atan2 1 (fma N (+ N 1) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma N (+ N 1) 1)) 1/6))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1 (fma N (+ N 1) 1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1 (fma N (+ N 1) 1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1 (fma N (+ N 1) 1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1 (fma N (+ N 1) 1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1 (fma N (+ N 1) 1)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma N (+ N 1) 1)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma N (+ N 1) 1))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma N (+ N 1) 1)) 1/6))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (cbrt (atan2 1 (fma N (+ N 1) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma N (+ N 1) 1)) 1/6)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (fabs (cbrt (atan2 1 (fma N (+ N 1) 1)))) (pow (atan2 1 (fma N (+ N 1) 1)) 1/6)) into (* (pow (atan2 1 (fma N (+ N 1) 1)) 1/6) (fabs (cbrt (atan2 1 (fma N (+ N 1) 1))))) * [misc]approximate: Taking taylor expansion of (* (fabs (cbrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) (sqrt (cbrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (fabs (cbrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) (sqrt (cbrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (fabs (cbrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) in N * [misc]backup-simplify: Simplify (fabs (cbrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) into (fabs (cbrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) * [misc]taylor: Taking taylor expansion of (sqrt (cbrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) in N * [misc]taylor: Rewrote expression to (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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 N) (+ (/ 1 N) 1) 1)) * [misc]backup-simplify: Simplify (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) into (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1/3) * [misc]backup-simplify: Simplify (sqrt (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1/3)) into (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1/6) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1/3)))) into 0 * [misc]taylor: Taking taylor expansion of (* (fabs (cbrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) (sqrt (cbrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (fabs (cbrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) in N * [misc]backup-simplify: Simplify (fabs (cbrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) into (fabs (cbrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) * [misc]taylor: Taking taylor expansion of (sqrt (cbrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) in N * [misc]taylor: Rewrote expression to (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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 N) (+ (/ 1 N) 1) 1)) * [misc]backup-simplify: Simplify (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) into (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1/3) * [misc]backup-simplify: Simplify (sqrt (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1/3)) into (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1/6) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1/3)))) into 0 * [misc]backup-simplify: Simplify (* (fabs (cbrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1/6)) into (* (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1/6) (fabs (cbrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) * [misc]backup-simplify: Simplify (* (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1/6) (fabs (cbrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into (* (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1/6) (fabs (cbrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) * [misc]backup-simplify: Simplify (+ (* (fabs (cbrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) 0) (* 0 (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1/6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1/6))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (cbrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1/6)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1/6))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (cbrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1/6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1/6))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (cbrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1/6)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1/6))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (cbrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1/6))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1/6))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (cbrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1/6)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (pow (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) 1/6) (fabs (cbrt (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1))))) into (* (fabs (cbrt (atan2 1 (fma N (+ N 1) 1)))) (pow (atan2 1 (fma N (+ N 1) 1)) 1/6)) * [misc]approximate: Taking taylor expansion of (* (fabs (cbrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) (sqrt (cbrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (fabs (cbrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) (sqrt (cbrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))))) in N * [misc]taylor: Taking taylor expansion of (fabs (cbrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) in N * [misc]backup-simplify: Simplify (fabs (cbrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) into (fabs (cbrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) * [misc]taylor: Taking taylor expansion of (sqrt (cbrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) in N * [misc]taylor: Rewrote expression to (pow (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) into (* 1/3 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/3) * [misc]backup-simplify: Simplify (sqrt (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/3)) into (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/6) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/3)))) into 0 * [misc]taylor: Taking taylor expansion of (* (fabs (cbrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) (sqrt (cbrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))))) in N * [misc]taylor: Taking taylor expansion of (fabs (cbrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) in N * [misc]backup-simplify: Simplify (fabs (cbrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) into (fabs (cbrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) * [misc]taylor: Taking taylor expansion of (sqrt (cbrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) in N * [misc]taylor: Rewrote expression to (pow (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) into (* 1/3 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/3) * [misc]backup-simplify: Simplify (sqrt (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/3)) into (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/6) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/3)))) into 0 * [misc]backup-simplify: Simplify (* (fabs (cbrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/6)) into (* (fabs (cbrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/6)) * [misc]backup-simplify: Simplify (* (fabs (cbrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/6)) into (* (fabs (cbrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/6)) * [misc]backup-simplify: Simplify (+ (* (fabs (cbrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) 0) (* 0 (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/6))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (cbrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/6)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/6))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (cbrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/6))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (cbrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/6)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/6))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (cbrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/6))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/6))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (cbrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/6)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (fabs (cbrt (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)))) (pow (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) 1/6)) into (* (pow (atan2 1 (fma N (+ N 1) 1)) 1/6) (fabs (cbrt (atan2 1 (fma N (+ N 1) 1))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (expm1 (cbrt (atan2 1 (+ (fma N N N) 1)))) * * * * [misc]progress: [ 2 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (log1p (cbrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (log1p (cbrt (atan2 1 (+ (fma N N N) 1)))) * * * * [misc]progress: [ 3 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (log (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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (log (cbrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (log (cbrt (atan2 1 (+ (fma N N N) 1)))) * * * * [misc]progress: [ 6 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (exp (cbrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (exp (cbrt (atan2 1 (+ (fma N N N) 1)))) * * * * [misc]progress: [ 7 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (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 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (atan2 1 (fma (+ 1 N) N 1))) (cbrt (atan2 1 (fma (+ 1 N) N 1))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (atan2 1 (fma (+ 1 N) N 1))) (cbrt (atan2 1 (fma (+ 1 N) N 1))))) * [enter]simplify: Simplifying (cbrt (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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (cbrt (cbrt (atan2 1 (+ (fma N N N) 1)))) * * * * [misc]progress: [ 8 / 77 ] simplifiying candidate # * [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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (+ (fma N N 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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (+ (fma N N N) 1)))) * * * * [misc]progress: [ 9 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (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 (20 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (41 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: [ 10 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (cbrt (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 (22 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (atan2 1 (fma (+ 1 N) N 1)))) (cbrt (cbrt (atan2 1 (fma (+ 1 N) N 1))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (atan2 1 (fma (+ 1 N) N 1)))) (cbrt (cbrt (atan2 1 (fma (+ 1 N) N 1))))) * [enter]simplify: Simplifying (cbrt (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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (cbrt (cbrt (atan2 1 (+ (fma N N N) 1)))) * * * * [misc]progress: [ 11 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (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 (25 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (51 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: [ 12 / 77 ] simplifiying candidate # * [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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (+ (fma N N 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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (+ (fma N N N) 1)))) * * * * [misc]progress: [ 13 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (expm1 (cbrt (atan2 1 (+ (fma N N N) 1)))) * * * * [misc]progress: [ 15 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (log1p (cbrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (log1p (cbrt (atan2 1 (+ (fma N N N) 1)))) * * * * [misc]progress: [ 16 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (log (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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (log (cbrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (log (cbrt (atan2 1 (+ (fma N N N) 1)))) * * * * [misc]progress: [ 19 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (exp (cbrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (exp (cbrt (atan2 1 (+ (fma N N N) 1)))) * * * * [misc]progress: [ 20 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (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 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (atan2 1 (fma (+ 1 N) N 1))) (cbrt (atan2 1 (fma (+ 1 N) N 1))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (atan2 1 (fma (+ 1 N) N 1))) (cbrt (atan2 1 (fma (+ 1 N) N 1))))) * [enter]simplify: Simplifying (cbrt (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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (cbrt (cbrt (atan2 1 (+ (fma N N N) 1)))) * * * * [misc]progress: [ 21 / 77 ] simplifiying candidate # * [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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (+ (fma N N 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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (+ (fma N N N) 1)))) * * * * [misc]progress: [ 22 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (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 (20 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (41 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: [ 23 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (cbrt (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 (22 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (atan2 1 (fma (+ 1 N) N 1)))) (cbrt (cbrt (atan2 1 (fma (+ 1 N) N 1))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (atan2 1 (fma (+ 1 N) N 1)))) (cbrt (cbrt (atan2 1 (fma (+ 1 N) N 1))))) * [enter]simplify: Simplifying (cbrt (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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (cbrt (cbrt (atan2 1 (+ (fma N N N) 1)))) * * * * [misc]progress: [ 24 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (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 (25 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (51 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: [ 25 / 77 ] simplifiying candidate # * [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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (+ (fma N N 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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (+ (fma N N N) 1)))) * * * * [misc]progress: [ 26 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 77 ] 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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (expm1 (sqrt (atan2 1 (+ (fma N N N) 1)))) * * * * [misc]progress: [ 28 / 77 ] 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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (log1p (sqrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (log1p (sqrt (atan2 1 (+ (fma N N N) 1)))) * * * * [misc]progress: [ 29 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 77 ] 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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (log (sqrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (log (sqrt (atan2 1 (+ (fma N N N) 1)))) * * * * [misc]progress: [ 32 / 77 ] 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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (exp (sqrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (exp (sqrt (atan2 1 (+ (fma N N N) 1)))) * * * * [misc]progress: [ 33 / 77 ] 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 (22 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ 1 N) N 1))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ 1 N) 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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (+ (fma N N N) 1)))) * * * * [misc]progress: [ 34 / 77 ] 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 (26 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (sqrt (atan2 1 (+ (fma N N 1) N))) (atan2 1 (+ (fma N N 1) N))) * [exit]simplify: Simplified to (* (sqrt (atan2 1 (+ (fma N N 1) N))) (atan2 1 (+ (fma N N 1) N))) * * * * [misc]progress: [ 35 / 77 ] 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 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (+ (fma N N N) 1)))) * * * * [misc]progress: [ 36 / 77 ] 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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (fma N N 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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) * * * * [misc]progress: [ 37 / 77 ] 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 (20 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (41 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: [ 38 / 77 ] 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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (fma N N 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 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) * * * * [misc]progress: [ 39 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (expm1 (* (sqrt (cbrt (atan2 1 (+ (fma N N N) 1)))) (fabs (cbrt (atan2 1 (+ (fma N N N) 1)))))) * [exit]simplify: Simplified to (expm1 (* (sqrt (cbrt (atan2 1 (+ (fma N N N) 1)))) (fabs (cbrt (atan2 1 (+ (fma N N N) 1)))))) * * * * [misc]progress: [ 42 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (log1p (* (sqrt (cbrt (atan2 1 (+ (fma N N N) 1)))) (fabs (cbrt (atan2 1 (+ (fma N N N) 1)))))) * [exit]simplify: Simplified to (log1p (* (sqrt (cbrt (atan2 1 (+ (fma N N N) 1)))) (fabs (cbrt (atan2 1 (+ (fma N N N) 1)))))) * * * * [misc]progress: [ 43 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (cbrt (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 (24 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1))))) * [exit]simplify: Simplified to (* (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1))))) * * * * [misc]progress: [ 44 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1))))) (log (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (cbrt (atan2 1 (+ (fma N N 1) N))))) (log (fabs (cbrt (atan2 1 (+ (fma N N 1) N)))))) * [exit]simplify: Simplified to (+ (log (sqrt (cbrt (atan2 1 (+ (fma N N 1) N))))) (log (fabs (cbrt (atan2 1 (+ (fma N N 1) N)))))) * * * * [misc]progress: [ 46 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to (log (* (sqrt (cbrt (atan2 1 (+ (fma N N N) 1)))) (fabs (cbrt (atan2 1 (+ (fma N N N) 1)))))) * [exit]simplify: Simplified to (log (* (sqrt (cbrt (atan2 1 (+ (fma N N N) 1)))) (fabs (cbrt (atan2 1 (+ (fma N N N) 1)))))) * * * * [misc]progress: [ 47 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (exp (* (sqrt (cbrt (atan2 1 (+ (fma N N N) 1)))) (fabs (cbrt (atan2 1 (+ (fma N N N) 1)))))) * [exit]simplify: Simplified to (exp (* (sqrt (cbrt (atan2 1 (+ (fma N N N) 1)))) (fabs (cbrt (atan2 1 (+ (fma N N N) 1)))))) * * * * [misc]progress: [ 48 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1))))) (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1))))) (* (* (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (pow (* (sqrt (cbrt (atan2 1 (fma (+ 1 N) N 1)))) (fabs (cbrt (atan2 1 (fma (+ 1 N) N 1))))) 3) * [exit]simplify: Simplified to (pow (* (sqrt (cbrt (atan2 1 (fma (+ 1 N) N 1)))) (fabs (cbrt (atan2 1 (fma (+ 1 N) N 1))))) 3) * * * * [misc]progress: [ 49 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))))) (cbrt (* (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (cbrt (atan2 1 (+ (fma N N 1) N)))) (fabs (cbrt (atan2 1 (+ (fma N N 1) N)))))) (cbrt (* (sqrt (cbrt (atan2 1 (+ (fma N N 1) N)))) (fabs (cbrt (atan2 1 (+ (fma N N 1) N))))))) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (cbrt (atan2 1 (+ (fma N N 1) N)))) (fabs (cbrt (atan2 1 (+ (fma N N 1) N)))))) (cbrt (* (sqrt (cbrt (atan2 1 (+ (fma N N 1) N)))) (fabs (cbrt (atan2 1 (+ (fma N N 1) N))))))) * [enter]simplify: Simplifying (cbrt (* (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (cbrt (atan2 1 (+ (fma N N N) 1)))) (fabs (cbrt (atan2 1 (+ (fma N N N) 1)))))) * [exit]simplify: Simplified to (cbrt (* (sqrt (cbrt (atan2 1 (+ (fma N N N) 1)))) (fabs (cbrt (atan2 1 (+ (fma N N N) 1)))))) * * * * [misc]progress: [ 50 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1))))) (* (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))))) (* (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (pow (* (sqrt (cbrt (atan2 1 (+ (fma N N N) 1)))) (fabs (cbrt (atan2 1 (+ (fma N N N) 1))))) 3) * [exit]simplify: Simplified to (pow (* (sqrt (cbrt (atan2 1 (+ (fma N N N) 1)))) (fabs (cbrt (atan2 1 (+ (fma N N N) 1))))) 3) * * * * [misc]progress: [ 51 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (sqrt (* (sqrt (cbrt (atan2 1 (+ (fma N N N) 1)))) (fabs (cbrt (atan2 1 (+ (fma N N N) 1)))))) * [exit]simplify: Simplified to (sqrt (* (sqrt (cbrt (atan2 1 (+ (fma N N N) 1)))) (fabs (cbrt (atan2 1 (+ (fma N N N) 1)))))) * [enter]simplify: Simplifying (sqrt (* (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (sqrt (* (sqrt (cbrt (atan2 1 (+ (fma N N N) 1)))) (fabs (cbrt (atan2 1 (+ (fma N N N) 1)))))) * [exit]simplify: Simplified to (sqrt (* (sqrt (cbrt (atan2 1 (+ (fma N N N) 1)))) (fabs (cbrt (atan2 1 (+ (fma N N N) 1)))))) * * * * [misc]progress: [ 52 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1))))) (cbrt (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (cbrt (atan2 1 (fma (+ 1 N) N 1))))) (fabs (cbrt (atan2 1 (fma (+ 1 N) N 1))))) (cbrt (sqrt (cbrt (atan2 1 (fma (+ 1 N) N 1)))))) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (cbrt (atan2 1 (fma (+ 1 N) N 1))))) (fabs (cbrt (atan2 1 (fma (+ 1 N) N 1))))) (cbrt (sqrt (cbrt (atan2 1 (fma (+ 1 N) N 1)))))) * * * * [misc]progress: [ 54 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (cbrt (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (* (cbrt (atan2 1 (+ (fma N N 1) N))) (cbrt (atan2 1 (+ (fma N N 1) N)))))) (fabs (cbrt (atan2 1 (+ (fma N N 1) N))))) * [exit]simplify: Simplified to (* (sqrt (cbrt (* (cbrt (atan2 1 (+ (fma N N 1) N))) (cbrt (atan2 1 (+ (fma N N 1) N)))))) (fabs (cbrt (atan2 1 (+ (fma N N 1) N))))) * * * * [misc]progress: [ 55 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (sqrt (atan2 1 (+ (fma N N 1) N))))) (fabs (cbrt (atan2 1 (+ (fma N N 1) N))))) * [exit]simplify: Simplified to (* (sqrt (cbrt (sqrt (atan2 1 (+ (fma N N 1) N))))) (fabs (cbrt (atan2 1 (+ (fma N N 1) N))))) * * * * [misc]progress: [ 56 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (cbrt 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt 1)) (fabs (cbrt (atan2 1 (+ (fma N N N) 1))))) * [exit]simplify: Simplified to (* (sqrt (cbrt 1)) (fabs (cbrt (atan2 1 (+ (fma N N N) 1))))) * * * * [misc]progress: [ 57 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (* (cbrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (cbrt (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 (27 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (cbrt (atan2 1 (fma (+ 1 N) N 1))))) (fabs (cbrt (atan2 1 (fma (+ 1 N) N 1))))) * [exit]simplify: Simplified to (* (fabs (cbrt (cbrt (atan2 1 (fma (+ 1 N) N 1))))) (fabs (cbrt (atan2 1 (fma (+ 1 N) N 1))))) * * * * [misc]progress: [ 58 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (cbrt (atan2 1 (+ (fma N N N) 1))))) (fabs (cbrt (atan2 1 (+ (fma N N N) 1))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (cbrt (atan2 1 (+ (fma N N N) 1))))) (fabs (cbrt (atan2 1 (+ (fma N N N) 1))))) * * * * [misc]progress: [ 59 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (sqrt 1) (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1))))) * [exit]simplify: Simplified to (* (sqrt 1) (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1))))) * * * * [misc]progress: [ 60 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (cbrt (atan2 1 (+ (fma N N N) 1))))) (fabs (cbrt (atan2 1 (+ (fma N N N) 1))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (cbrt (atan2 1 (+ (fma N N N) 1))))) (fabs (cbrt (atan2 1 (+ (fma N N N) 1))))) * * * * [misc]progress: [ 61 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (51 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)))) * * * * [misc]progress: [ 62 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (atan2 1 (+ (fma N N N) 1)))) (cbrt (fabs (cbrt (atan2 1 (+ (fma N N N) 1)))))) * [exit]simplify: Simplified to (* (sqrt (cbrt (atan2 1 (+ (fma N N N) 1)))) (cbrt (fabs (cbrt (atan2 1 (+ (fma N N N) 1)))))) * * * * [misc]progress: [ 63 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (atan2 1 (+ (fma N N N) 1)))) (sqrt (fabs (cbrt (atan2 1 (+ (fma N N N) 1)))))) * [exit]simplify: Simplified to (* (sqrt (cbrt (atan2 1 (+ (fma N N N) 1)))) (sqrt (fabs (cbrt (atan2 1 (+ (fma N N N) 1)))))) * * * * [misc]progress: [ 64 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (cbrt (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 (24 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1))))) * [exit]simplify: Simplified to (* (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1))))) * * * * [misc]progress: [ 65 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (* (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (pow (atan2 1 (fma N (+ N 1) 1)) 1/3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (* (* (fabs (cbrt (atan2 1 (+ (fma N N N) 1)))) (sqrt (cbrt (atan2 1 (+ (fma N N N) 1))))) (sqrt (atan2 1 (+ (fma N N N) 1)))) * * * * [misc]progress: [ 67 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (* (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (pow (atan2 1 (fma N (+ N 1) 1)) 1/3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (* (* (fabs (cbrt (atan2 1 (+ (fma N N N) 1)))) (sqrt (cbrt (atan2 1 (+ (fma N N N) 1))))) (sqrt (atan2 1 (+ (fma N N N) 1)))) * * * * [misc]progress: [ 68 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (* (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (pow (atan2 1 (fma N (+ N 1) 1)) 1/3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (* (* (fabs (cbrt (atan2 1 (+ (fma N N N) 1)))) (sqrt (cbrt (atan2 1 (+ (fma N N N) 1))))) (sqrt (atan2 1 (+ (fma N N N) 1)))) * * * * [misc]progress: [ 69 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (* (fabs (pow (atan2 1 (fma N (+ N 1) 1)) 1/3)) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (* (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))) * * * * [misc]progress: [ 70 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (* (fabs (pow (atan2 1 (fma N (+ N 1) 1)) 1/3)) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (* (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))) * * * * [misc]progress: [ 71 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (* (fabs (pow (atan2 1 (fma N (+ N 1) 1)) 1/3)) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (* (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))) * * * * [misc]progress: [ 72 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma N (+ N 1) 1))) (* (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (cbrt (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 (40 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (* (* (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1))))) * * * * [misc]progress: [ 73 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma N (+ N 1) 1))) (* (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (cbrt (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 (40 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (* (* (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1))))) * * * * [misc]progress: [ 74 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma N (+ N 1) 1))) (* (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (cbrt (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 (40 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (* (* (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (fabs (cbrt (atan2 1 (fma N (+ 1 N) 1))))) * * * * [misc]progress: [ 75 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (* (pow (atan2 1 (fma N (+ N 1) 1)) 1/6) (fabs (cbrt (atan2 1 (fma N (+ N 1) 1)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (atan2 1 (fma (+ 1 N) N 1)))) (* (pow (atan2 1 (fma (+ 1 N) N 1)) 1/6) (sqrt (atan2 1 (fma (+ 1 N) N 1))))) * * * * [misc]progress: [ 76 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (* (fabs (cbrt (atan2 1 (fma N (+ N 1) 1)))) (pow (atan2 1 (fma N (+ N 1) 1)) 1/6))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (atan2 1 (fma (+ 1 N) N 1)))) (* (pow (atan2 1 (fma (+ 1 N) N 1)) 1/6) (sqrt (atan2 1 (fma (+ 1 N) N 1))))) * * * * [misc]progress: [ 77 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (* (pow (atan2 1 (fma N (+ N 1) 1)) 1/6) (fabs (cbrt (atan2 1 (fma N (+ N 1) 1)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (atan2 1 (fma (+ 1 N) N 1)))) (* (pow (atan2 1 (fma (+ 1 N) N 1)) 1/6) (sqrt (atan2 1 (fma (+ 1 N) 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 (+ 1 N) * * [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