* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [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 (im (+ (+ (+ (+ (* (* (* (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (* (* (* (complex (- 2) 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (* (* (complex 5 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (* (complex 4 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (complex 7 0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (im (+ (* (complex (/ -1 2) (/ (sqrt 3) 2)) (* (* (complex (/ -1 2) (/ (sqrt 3) 2)) (complex (/ -1 2) (/ (sqrt 3) 2))) (+ (complex (/ -1 2) (/ (sqrt 3) 2)) (complex (- 2) 0)))) (+ (* (complex 5 0) (* (complex (/ -1 2) (/ (sqrt 3) 2)) (complex (/ -1 2) (/ (sqrt 3) 2)))) (+ (complex 7 0) (* (complex 4 0) (complex (/ -1 2) (/ (sqrt 3) 2))))))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1 1 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 1 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1 1 1 1 1) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 1 2 1) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 15 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (- (* (- (* (- (* (/ (- 1) 2) (/ (- 1) 2)) (* (/ (sqrt 3) 2) (/ (sqrt 3) 2))) (/ (- 1) 2)) (* (+ (* (/ (- 1) 2) (/ (sqrt 3) 2)) (* (/ (sqrt 3) 2) (/ (- 1) 2))) (/ (sqrt 3) 2))) (/ (- 1) 2)) (* (+ (* (- (* (/ (- 1) 2) (/ (- 1) 2)) (* (/ (sqrt 3) 2) (/ (sqrt 3) 2))) (/ (sqrt 3) 2)) (* (+ (* (/ (- 1) 2) (/ (sqrt 3) 2)) (* (/ (sqrt 3) 2) (/ (- 1) 2))) (/ (- 1) 2))) (/ (sqrt 3) 2))) (- (* (- (* (- (* (- 2) (/ (- 1) 2)) (* 0 (/ (sqrt 3) 2))) (/ (- 1) 2)) (* (+ (* (- 2) (/ (sqrt 3) 2)) (* 0 (/ (- 1) 2))) (/ (sqrt 3) 2))) (/ (- 1) 2)) (* (+ (* (- (* (- 2) (/ (- 1) 2)) (* 0 (/ (sqrt 3) 2))) (/ (sqrt 3) 2)) (* (+ (* (- 2) (/ (sqrt 3) 2)) (* 0 (/ (- 1) 2))) (/ (- 1) 2))) (/ (sqrt 3) 2)))) (- (* (- (* 5 (/ (- 1) 2)) (* 0 (/ (sqrt 3) 2))) (/ (- 1) 2)) (* (+ (* 5 (/ (sqrt 3) 2)) (* 0 (/ (- 1) 2))) (/ (sqrt 3) 2)))) * * [misc]simplify: iters left: 6 (49 enodes) * [exit]simplify: Simplified to (+ (+ (- (* (- (* (- (* (/ (- 1) 2) (/ (- 1) 2)) (/ 3 (* 2 2))) (/ (- 1) 2)) (* (+ (* (/ (- 1) 2) (/ (sqrt 3) 2)) (* (/ (- 1) 2) (/ (sqrt 3) 2))) (/ (sqrt 3) 2))) (/ (- 1) 2)) (* (/ (sqrt 3) 2) (+ (* (+ (* (/ (- 1) 2) (/ (sqrt 3) 2)) (* (/ (- 1) 2) (/ (sqrt 3) 2))) (/ (- 1) 2)) (* (- (* (/ (- 1) 2) (/ (- 1) 2)) (/ 3 (* 2 2))) (/ (sqrt 3) 2))))) (- (* (- (* (- (* (- 2) (/ (- 1) 2)) 0) (/ (- 1) 2)) (* (/ (sqrt 3) 2) (+ (* (- 2) (/ (sqrt 3) 2)) 0))) (/ (- 1) 2)) (* (/ (sqrt 3) 2) (+ (* (/ (sqrt 3) 2) (- (* (- 2) (/ (- 1) 2)) 0)) (* (/ (- 1) 2) (+ (* (- 2) (/ (sqrt 3) 2)) 0)))))) (- (* (/ (- 1) 2) (- (* 5 (/ (- 1) 2)) 0)) (* (+ 0 (/ (* 5 (sqrt 3)) 2)) (/ (sqrt 3) 2)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ () (im (+ (+ (complex (+ (+ (- (* (- (* (- (* (/ (- 1) 2) (/ (- 1) 2)) (/ 3 (* 2 2))) (/ (- 1) 2)) (* (+ (* (/ (- 1) 2) (/ (sqrt 3) 2)) (* (/ (- 1) 2) (/ (sqrt 3) 2))) (/ (sqrt 3) 2))) (/ (- 1) 2)) (* (/ (sqrt 3) 2) (+ (* (+ (* (/ (- 1) 2) (/ (sqrt 3) 2)) (* (/ (- 1) 2) (/ (sqrt 3) 2))) (/ (- 1) 2)) (* (- (* (/ (- 1) 2) (/ (- 1) 2)) (/ 3 (* 2 2))) (/ (sqrt 3) 2))))) (- (* (- (* (- (* (- 2) (/ (- 1) 2)) 0) (/ (- 1) 2)) (* (/ (sqrt 3) 2) (+ (* (- 2) (/ (sqrt 3) 2)) 0))) (/ (- 1) 2)) (* (/ (sqrt 3) 2) (+ (* (/ (sqrt 3) 2) (- (* (- 2) (/ (- 1) 2)) 0)) (* (/ (- 1) 2) (+ (* (- 2) (/ (sqrt 3) 2)) 0)))))) (- (* (/ (- 1) 2) (- (* 5 (/ (- 1) 2)) 0)) (* (+ 0 (/ (* 5 (sqrt 3)) 2)) (/ (sqrt 3) 2)))) (+ (+ (+ (* (- (* (- (* (/ (- 1) 2) (/ (- 1) 2)) (* (/ (sqrt 3) 2) (/ (sqrt 3) 2))) (/ (- 1) 2)) (* (+ (* (/ (- 1) 2) (/ (sqrt 3) 2)) (* (/ (sqrt 3) 2) (/ (- 1) 2))) (/ (sqrt 3) 2))) (/ (sqrt 3) 2)) (* (+ (* (- (* (/ (- 1) 2) (/ (- 1) 2)) (* (/ (sqrt 3) 2) (/ (sqrt 3) 2))) (/ (sqrt 3) 2)) (* (+ (* (/ (- 1) 2) (/ (sqrt 3) 2)) (* (/ (sqrt 3) 2) (/ (- 1) 2))) (/ (- 1) 2))) (/ (- 1) 2))) (+ (* (- (* (- (* (- 2) (/ (- 1) 2)) (* 0 (/ (sqrt 3) 2))) (/ (- 1) 2)) (* (+ (* (- 2) (/ (sqrt 3) 2)) (* 0 (/ (- 1) 2))) (/ (sqrt 3) 2))) (/ (sqrt 3) 2)) (* (+ (* (- (* (- 2) (/ (- 1) 2)) (* 0 (/ (sqrt 3) 2))) (/ (sqrt 3) 2)) (* (+ (* (- 2) (/ (sqrt 3) 2)) (* 0 (/ (- 1) 2))) (/ (- 1) 2))) (/ (- 1) 2)))) (+ (* (- (* 5 (/ (- 1) 2)) (* 0 (/ (sqrt 3) 2))) (/ (sqrt 3) 2)) (* (+ (* 5 (/ (sqrt 3) 2)) (* 0 (/ (- 1) 2))) (/ (- 1) 2))))) (* (complex 4 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (complex 7 0)))) * [enter]simplify: Simplifying (+ (+ (+ (* (- (* (- (* (/ (- 1) 2) (/ (- 1) 2)) (* (/ (sqrt 3) 2) (/ (sqrt 3) 2))) (/ (- 1) 2)) (* (+ (* (/ (- 1) 2) (/ (sqrt 3) 2)) (* (/ (sqrt 3) 2) (/ (- 1) 2))) (/ (sqrt 3) 2))) (/ (sqrt 3) 2)) (* (+ (* (- (* (/ (- 1) 2) (/ (- 1) 2)) (* (/ (sqrt 3) 2) (/ (sqrt 3) 2))) (/ (sqrt 3) 2)) (* (+ (* (/ (- 1) 2) (/ (sqrt 3) 2)) (* (/ (sqrt 3) 2) (/ (- 1) 2))) (/ (- 1) 2))) (/ (- 1) 2))) (+ (* (- (* (- (* (- 2) (/ (- 1) 2)) (* 0 (/ (sqrt 3) 2))) (/ (- 1) 2)) (* (+ (* (- 2) (/ (sqrt 3) 2)) (* 0 (/ (- 1) 2))) (/ (sqrt 3) 2))) (/ (sqrt 3) 2)) (* (+ (* (- (* (- 2) (/ (- 1) 2)) (* 0 (/ (sqrt 3) 2))) (/ (sqrt 3) 2)) (* (+ (* (- 2) (/ (sqrt 3) 2)) (* 0 (/ (- 1) 2))) (/ (- 1) 2))) (/ (- 1) 2)))) (+ (* (- (* 5 (/ (- 1) 2)) (* 0 (/ (sqrt 3) 2))) (/ (sqrt 3) 2)) (* (+ (* 5 (/ (sqrt 3) 2)) (* 0 (/ (- 1) 2))) (/ (- 1) 2)))) * * [misc]simplify: iters left: 6 (49 enodes) * [exit]simplify: Simplified to (+ (+ (+ (* (/ (sqrt 3) 2) (- (* (- (* (- (/ 1 2)) (- (/ 1 2))) (/ 3 (* 2 2))) (- (/ 1 2))) (* (+ (* (- (/ 1 2)) (/ (sqrt 3) 2)) (* (- (/ 1 2)) (/ (sqrt 3) 2))) (/ (sqrt 3) 2)))) (* (+ (* (+ (* (- (/ 1 2)) (/ (sqrt 3) 2)) (* (- (/ 1 2)) (/ (sqrt 3) 2))) (- (/ 1 2))) (* (- (* (- (/ 1 2)) (- (/ 1 2))) (/ 3 (* 2 2))) (/ (sqrt 3) 2))) (- (/ 1 2)))) (+ (* (/ (sqrt 3) 2) (- (* (- (* (- 2) (- (/ 1 2))) 0) (- (/ 1 2))) (* (/ (sqrt 3) 2) (+ (/ (* (- 2) (sqrt 3)) 2) 0)))) (* (- (/ 1 2)) (+ (* (/ (sqrt 3) 2) (- (* (- 2) (- (/ 1 2))) 0)) (* (- (/ 1 2)) (+ (/ (* (- 2) (sqrt 3)) 2) 0)))))) (+ (* (+ 0 (* 5 (/ (sqrt 3) 2))) (- (/ 1 2))) (* (- (* 5 (- (/ 1 2))) 0) (/ (sqrt 3) 2)))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ () (im (+ (+ (complex (+ (+ (- (* (- (* (- (* (/ (- 1) 2) (/ (- 1) 2)) (/ 3 (* 2 2))) (/ (- 1) 2)) (* (+ (* (/ (- 1) 2) (/ (sqrt 3) 2)) (* (/ (- 1) 2) (/ (sqrt 3) 2))) (/ (sqrt 3) 2))) (/ (- 1) 2)) (* (/ (sqrt 3) 2) (+ (* (+ (* (/ (- 1) 2) (/ (sqrt 3) 2)) (* (/ (- 1) 2) (/ (sqrt 3) 2))) (/ (- 1) 2)) (* (- (* (/ (- 1) 2) (/ (- 1) 2)) (/ 3 (* 2 2))) (/ (sqrt 3) 2))))) (- (* (- (* (- (* (- 2) (/ (- 1) 2)) 0) (/ (- 1) 2)) (* (/ (sqrt 3) 2) (+ (* (- 2) (/ (sqrt 3) 2)) 0))) (/ (- 1) 2)) (* (/ (sqrt 3) 2) (+ (* (/ (sqrt 3) 2) (- (* (- 2) (/ (- 1) 2)) 0)) (* (/ (- 1) 2) (+ (* (- 2) (/ (sqrt 3) 2)) 0)))))) (- (* (/ (- 1) 2) (- (* 5 (/ (- 1) 2)) 0)) (* (+ 0 (/ (* 5 (sqrt 3)) 2)) (/ (sqrt 3) 2)))) (+ (+ (+ (* (/ (sqrt 3) 2) (- (* (- (* (- (/ 1 2)) (- (/ 1 2))) (/ 3 (* 2 2))) (- (/ 1 2))) (* (+ (* (- (/ 1 2)) (/ (sqrt 3) 2)) (* (- (/ 1 2)) (/ (sqrt 3) 2))) (/ (sqrt 3) 2)))) (* (+ (* (+ (* (- (/ 1 2)) (/ (sqrt 3) 2)) (* (- (/ 1 2)) (/ (sqrt 3) 2))) (- (/ 1 2))) (* (- (* (- (/ 1 2)) (- (/ 1 2))) (/ 3 (* 2 2))) (/ (sqrt 3) 2))) (- (/ 1 2)))) (+ (* (/ (sqrt 3) 2) (- (* (- (* (- 2) (- (/ 1 2))) 0) (- (/ 1 2))) (* (/ (sqrt 3) 2) (+ (/ (* (- 2) (sqrt 3)) 2) 0)))) (* (- (/ 1 2)) (+ (* (/ (sqrt 3) 2) (- (* (- 2) (- (/ 1 2))) 0)) (* (- (/ 1 2)) (+ (/ (* (- 2) (sqrt 3)) 2) 0)))))) (+ (* (+ 0 (* 5 (/ (sqrt 3) 2))) (- (/ 1 2))) (* (- (* 5 (- (/ 1 2))) 0) (/ (sqrt 3) 2))))) (* (complex 4 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (complex 7 0)))) * * * * [misc]progress: [ 2 / 15 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * [exit]simplify: Simplified to (* (* (complex (/ -1 2) (/ (sqrt 3) 2)) (complex (/ -1 2) (/ (sqrt 3) 2))) (* (complex (/ -1 2) (/ (sqrt 3) 2)) (complex (/ -1 2) (/ (sqrt 3) 2)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ () (im (+ (+ (+ (* (* (complex (/ -1 2) (/ (sqrt 3) 2)) (complex (/ -1 2) (/ (sqrt 3) 2))) (* (complex (/ -1 2) (/ (sqrt 3) 2)) (complex (/ -1 2) (/ (sqrt 3) 2)))) (+ (* (* (* (complex (- 2) 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (* (* (complex 5 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))))) (* (complex 4 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (complex 7 0)))) * * * * [misc]progress: [ 3 / 15 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 15 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ (- 1) 2) (/ (- 1) 2)) (* (/ (sqrt 3) 2) (/ (sqrt 3) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * [exit]simplify: Simplified to (- (/ (/ -1 2) 2) (/ (/ 3 2) 2)) * [misc]simplify: Simplified (2 1 1 1 1 1 1 1 1) to (λ () (im (+ (+ (+ (+ (* (* (complex (- (/ (/ -1 2) 2) (/ (/ 3 2) 2)) (+ (* (/ (- 1) 2) (/ (sqrt 3) 2)) (* (/ (sqrt 3) 2) (/ (- 1) 2)))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (* (* (* (complex (- 2) 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (* (* (complex 5 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (* (complex 4 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (complex 7 0)))) * [enter]simplify: Simplifying (+ (* (/ (- 1) 2) (/ (sqrt 3) 2)) (* (/ (sqrt 3) 2) (/ (- 1) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 3) 2) (+ (/ -1 2) (/ -1 2))) * [misc]simplify: Simplified (2 1 1 1 1 1 1 1 2) to (λ () (im (+ (+ (+ (+ (* (* (complex (- (/ (/ -1 2) 2) (/ (/ 3 2) 2)) (* (/ (sqrt 3) 2) (+ (/ -1 2) (/ -1 2)))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (* (* (* (complex (- 2) 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (* (* (complex 5 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (* (complex 4 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (complex 7 0)))) * * * * [misc]progress: [ 5 / 15 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 15 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (- (* (- 2) (/ (- 1) 2)) (* 0 (/ (sqrt 3) 2))) (/ (- 1) 2)) (* (+ (* (- 2) (/ (sqrt 3) 2)) (* 0 (/ (- 1) 2))) (/ (sqrt 3) 2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (340 enodes) * [exit]simplify: Simplified to (- (/ (/ (- 2) (/ 2 -1)) (/ 2 -1)) (/ (/ (- 2) (/ 2 (sqrt 3))) (/ 2 (sqrt 3)))) * [misc]simplify: Simplified (2 1 1 1 1 2 1 1) to (λ () (im (+ (+ (+ (+ (* (* (* (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (* (complex (- (/ (/ (- 2) (/ 2 -1)) (/ 2 -1)) (/ (/ (- 2) (/ 2 (sqrt 3))) (/ 2 (sqrt 3)))) (+ (* (- (* (- 2) (/ (- 1) 2)) (* 0 (/ (sqrt 3) 2))) (/ (sqrt 3) 2)) (* (+ (* (- 2) (/ (sqrt 3) 2)) (* 0 (/ (- 1) 2))) (/ (- 1) 2)))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (* (* (complex 5 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (* (complex 4 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (complex 7 0)))) * [enter]simplify: Simplifying (+ (* (- (* (- 2) (/ (- 1) 2)) (* 0 (/ (sqrt 3) 2))) (/ (sqrt 3) 2)) (* (+ (* (- 2) (/ (sqrt 3) 2)) (* 0 (/ (- 1) 2))) (/ (- 1) 2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (339 enodes) * [exit]simplify: Simplified to (+ (/ (* (- 2) (/ -1 2)) (/ 2 (sqrt 3))) (* (/ -1 2) (/ (- 2) (/ 2 (sqrt 3))))) * [misc]simplify: Simplified (2 1 1 1 1 2 1 2) to (λ () (im (+ (+ (+ (+ (* (* (* (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (* (complex (- (/ (/ (- 2) (/ 2 -1)) (/ 2 -1)) (/ (/ (- 2) (/ 2 (sqrt 3))) (/ 2 (sqrt 3)))) (+ (/ (* (- 2) (/ -1 2)) (/ 2 (sqrt 3))) (* (/ -1 2) (/ (- 2) (/ 2 (sqrt 3)))))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (* (* (complex 5 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (* (complex 4 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (complex 7 0)))) * * * * [misc]progress: [ 7 / 15 ] simplifiying candidate # * [enter]simplify: Simplifying (complex (- 2) 0) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (405 enodes) * [exit]simplify: Simplified to (complex 2 0) * [misc]simplify: Simplified (2 1 1 1 1 2 1 1) to (λ () (im (+ (+ (+ (+ (* (* (* (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (* (* (complex 2 0) (* (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (* (* (complex 5 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (* (complex 4 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (complex 7 0)))) * * * * [misc]progress: [ 8 / 15 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 15 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (- (* 5 (/ (- 1) 2)) (* 0 (/ (sqrt 3) 2))) (/ (- 1) 2)) (* (+ (* 5 (/ (sqrt 3) 2)) (* 0 (/ (- 1) 2))) (/ (sqrt 3) 2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (335 enodes) * [exit]simplify: Simplified to (- (* (/ -1 2) (* 5 (/ -1 2))) (* (* (/ (sqrt 3) 2) 5) (/ (sqrt 3) 2))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ () (im (+ (+ (+ (+ (* (* (* (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (* (* (* (complex (- 2) 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (complex (- (* (/ -1 2) (* 5 (/ -1 2))) (* (* (/ (sqrt 3) 2) 5) (/ (sqrt 3) 2))) (+ (* (- (* 5 (/ (- 1) 2)) (* 0 (/ (sqrt 3) 2))) (/ (sqrt 3) 2)) (* (+ (* 5 (/ (sqrt 3) 2)) (* 0 (/ (- 1) 2))) (/ (- 1) 2))))) (* (complex 4 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (complex 7 0)))) * [enter]simplify: Simplifying (+ (* (- (* 5 (/ (- 1) 2)) (* 0 (/ (sqrt 3) 2))) (/ (sqrt 3) 2)) (* (+ (* 5 (/ (sqrt 3) 2)) (* 0 (/ (- 1) 2))) (/ (- 1) 2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (334 enodes) * [exit]simplify: Simplified to (+ (* (* 5 (/ -1 2)) (/ (sqrt 3) 2)) (* (/ -1 2) (* (/ (sqrt 3) 2) 5))) * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ () (im (+ (+ (+ (+ (* (* (* (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (* (* (* (complex (- 2) 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (complex (- (* (/ -1 2) (* 5 (/ -1 2))) (* (* (/ (sqrt 3) 2) 5) (/ (sqrt 3) 2))) (+ (* (* 5 (/ -1 2)) (/ (sqrt 3) 2)) (* (/ -1 2) (* (/ (sqrt 3) 2) 5))))) (* (complex 4 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (complex 7 0)))) * * * * [misc]progress: [ 10 / 15 ] simplifiying candidate # * [enter]simplify: Simplifying (complex 5 0) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (complex 5 0) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ () (im (+ (+ (+ (+ (* (* (* (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (* (* (* (complex (- 2) 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (* (complex 5 0) (* (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))))) (* (complex 4 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (complex 7 0)))) * * * * [misc]progress: [ 11 / 15 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 15 ] simplifiying candidate # * [enter]simplify: Simplifying (im (+ (+ (+ (+ (* (* (* (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (* (* (* (complex (- 2) 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (* (* (complex 5 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (* (complex 4 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (complex 7 0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (im (+ (* (complex (/ -1 2) (/ (sqrt 3) 2)) (* (* (complex (/ -1 2) (/ (sqrt 3) 2)) (complex (/ -1 2) (/ (sqrt 3) 2))) (+ (complex (/ -1 2) (/ (sqrt 3) 2)) (complex (- 2) 0)))) (+ (* (complex 5 0) (* (complex (/ -1 2) (/ (sqrt 3) 2)) (complex (/ -1 2) (/ (sqrt 3) 2)))) (+ (complex 7 0) (* (complex 4 0) (complex (/ -1 2) (/ (sqrt 3) 2))))))) * [misc]simplify: Simplified (2) to (λ () (im (+ (* (complex (/ -1 2) (/ (sqrt 3) 2)) (* (* (complex (/ -1 2) (/ (sqrt 3) 2)) (complex (/ -1 2) (/ (sqrt 3) 2))) (+ (complex (/ -1 2) (/ (sqrt 3) 2)) (complex (- 2) 0)))) (+ (* (complex 5 0) (* (complex (/ -1 2) (/ (sqrt 3) 2)) (complex (/ -1 2) (/ (sqrt 3) 2)))) (+ (complex 7 0) (* (complex 4 0) (complex (/ -1 2) (/ (sqrt 3) 2)))))))) * * * * [misc]progress: [ 13 / 15 ] simplifiying candidate # * [enter]simplify: Simplifying (im (+ (+ (+ (+ (* (* (* (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (* (* (* (complex (- 2) 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (* (* (complex 5 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (* (complex 4 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (complex 7 0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (im (+ (* (complex (/ -1 2) (/ (sqrt 3) 2)) (* (* (complex (/ -1 2) (/ (sqrt 3) 2)) (complex (/ -1 2) (/ (sqrt 3) 2))) (+ (complex (/ -1 2) (/ (sqrt 3) 2)) (complex (- 2) 0)))) (+ (* (complex 5 0) (* (complex (/ -1 2) (/ (sqrt 3) 2)) (complex (/ -1 2) (/ (sqrt 3) 2)))) (+ (complex 7 0) (* (complex 4 0) (complex (/ -1 2) (/ (sqrt 3) 2))))))) * [misc]simplify: Simplified (2) to (λ () (im (+ (* (complex (/ -1 2) (/ (sqrt 3) 2)) (* (* (complex (/ -1 2) (/ (sqrt 3) 2)) (complex (/ -1 2) (/ (sqrt 3) 2))) (+ (complex (/ -1 2) (/ (sqrt 3) 2)) (complex (- 2) 0)))) (+ (* (complex 5 0) (* (complex (/ -1 2) (/ (sqrt 3) 2)) (complex (/ -1 2) (/ (sqrt 3) 2)))) (+ (complex 7 0) (* (complex 4 0) (complex (/ -1 2) (/ (sqrt 3) 2)))))))) * * * * [misc]progress: [ 14 / 15 ] simplifiying candidate # * [enter]simplify: Simplifying (im (+ (+ (+ (+ (* (* (* (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (* (* (* (complex (- 2) 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (* (* (complex 5 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (* (complex 4 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (complex 7 0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (im (+ (* (complex (/ -1 2) (/ (sqrt 3) 2)) (* (* (complex (/ -1 2) (/ (sqrt 3) 2)) (complex (/ -1 2) (/ (sqrt 3) 2))) (+ (complex (/ -1 2) (/ (sqrt 3) 2)) (complex (- 2) 0)))) (+ (* (complex 5 0) (* (complex (/ -1 2) (/ (sqrt 3) 2)) (complex (/ -1 2) (/ (sqrt 3) 2)))) (+ (complex 7 0) (* (complex 4 0) (complex (/ -1 2) (/ (sqrt 3) 2))))))) * [misc]simplify: Simplified (2) to (λ () (im (+ (* (complex (/ -1 2) (/ (sqrt 3) 2)) (* (* (complex (/ -1 2) (/ (sqrt 3) 2)) (complex (/ -1 2) (/ (sqrt 3) 2))) (+ (complex (/ -1 2) (/ (sqrt 3) 2)) (complex (- 2) 0)))) (+ (* (complex 5 0) (* (complex (/ -1 2) (/ (sqrt 3) 2)) (complex (/ -1 2) (/ (sqrt 3) 2)))) (+ (complex 7 0) (* (complex 4 0) (complex (/ -1 2) (/ (sqrt 3) 2)))))))) * * * * [misc]progress: [ 15 / 15 ] simplifiying candidate # * [enter]simplify: Simplifying (im (+ (+ (+ (+ (* (* (* (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (* (* (* (complex (- 2) 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (* (* (complex 5 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (* (complex 4 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (complex 7 0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (im (+ (* (complex (/ -1 2) (/ (sqrt 3) 2)) (* (* (complex (/ -1 2) (/ (sqrt 3) 2)) (complex (/ -1 2) (/ (sqrt 3) 2))) (+ (complex (/ -1 2) (/ (sqrt 3) 2)) (complex (- 2) 0)))) (+ (* (complex 5 0) (* (complex (/ -1 2) (/ (sqrt 3) 2)) (complex (/ -1 2) (/ (sqrt 3) 2)))) (+ (complex 7 0) (* (complex 4 0) (complex (/ -1 2) (/ (sqrt 3) 2))))))) * [misc]simplify: Simplified (2) to (λ () (im (+ (* (complex (/ -1 2) (/ (sqrt 3) 2)) (* (* (complex (/ -1 2) (/ (sqrt 3) 2)) (complex (/ -1 2) (/ (sqrt 3) 2))) (+ (complex (/ -1 2) (/ (sqrt 3) 2)) (complex (- 2) 0)))) (+ (* (complex 5 0) (* (complex (/ -1 2) (/ (sqrt 3) 2)) (complex (/ -1 2) (/ (sqrt 3) 2)))) (+ (complex 7 0) (* (complex 4 0) (complex (/ -1 2) (/ (sqrt 3) 2)))))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * [enter]simplify: Simplifying (im (+ (+ (+ (+ (* (* (* (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (* (* (* (complex (- 2) 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (* (* (complex 5 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (* (complex 4 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (complex 7 0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * [exit]simplify: Simplified to (im (+ (+ (* (complex 4 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (+ (* (* (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex 5 0)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (+ (* (* (* (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (* (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (* (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (* (complex (- 2) 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))))))) (complex 7 0))) * * * * [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 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8000 points with exact outputs