* [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 (+.c (+.c (+.c (+.c (*.c (*.c (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (*.c (*.c (*.c (complex (- 2) 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (*.c (*.c (complex 5 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (*.c (complex 4 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (complex 7 0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (301 enodes) * [exit]simplify: Simplified to (im (+.c (+.c (complex (+ (* (- 4) (/ 1 2)) 7) (/ 4 (/ 2 (sqrt 3)))) (*.c (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))))) (*.c (complex (+ (/ (* (- 2) (- 1)) 2) 5) (* (- 2) (/ (sqrt 3) 2))) (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (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 1 1 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 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 1 1 1 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 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))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (280 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 (+.c (+.c (+.c (+.c (*.c (*.c (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))) (*.c (*.c (*.c (complex (- 2) 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (*.c (*.c (complex 5 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (*.c (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 (24 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (296 enodes) * [exit]simplify: Simplified to (* (/ (- 1) (* 2 2)) (+ (sqrt 3) (sqrt 3))) * [misc]simplify: Simplified (2 1 1 1 1 1 1 1 2) to (λ () (im (+.c (+.c (+.c (+.c (*.c (*.c (complex (- (/ (/ 1 2) 2) (/ 3 (* 2 2))) (* (/ (- 1) (* 2 2)) (+ (sqrt 3) (sqrt 3)))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (*.c (*.c (*.c (complex (- 2) 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (*.c (*.c (complex 5 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (*.c (complex 4 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (complex 7 0)))) * * * * [misc]progress: [ 2 / 15 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 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) * * [misc]simplify: iters left: 5 (174 enodes) * [exit]simplify: Simplified to (+ (- (/ (- (/ (/ (- 2) (/ 2 (- 1))) (/ 2 (- 1))) (* (* (- 2) (/ (sqrt 3) 2)) (/ (sqrt 3) 2))) (/ 2 (- 1))) (- (* (fma (/ (sqrt 3) 2) (/ (- 2) (/ 2 (- 1))) (* (* (- 2) (/ (sqrt 3) 2)) (- (/ 1 2)))) (/ (sqrt 3) 2)) (- (/ (/ 5 (/ 2 (- 1))) (/ 2 (- 1))) (* (/ (sqrt 3) 2) (* (/ (sqrt 3) 2) 5))))) (- (* (- (* (- (/ 1 2)) (- (* (/ 1 2) (/ 1 2)) (* (/ (sqrt 3) 2) (/ (sqrt 3) 2)))) (* (/ (sqrt 3) 2) (* (/ (sqrt 3) 2) (+ (- (/ 1 2)) (- (/ 1 2)))))) (- (/ 1 2))) (* (fma (/ (sqrt 3) 2) (- (* (/ 1 2) (/ 1 2)) (* (/ (sqrt 3) 2) (/ (sqrt 3) 2))) (* (- (/ 1 2)) (* (/ (sqrt 3) 2) (+ (- (/ 1 2)) (- (/ 1 2)))))) (/ (sqrt 3) 2)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ () (im (+.c (+.c (complex (+ (- (/ (- (/ (/ (- 2) (/ 2 (- 1))) (/ 2 (- 1))) (* (* (- 2) (/ (sqrt 3) 2)) (/ (sqrt 3) 2))) (/ 2 (- 1))) (- (* (fma (/ (sqrt 3) 2) (/ (- 2) (/ 2 (- 1))) (* (* (- 2) (/ (sqrt 3) 2)) (- (/ 1 2)))) (/ (sqrt 3) 2)) (- (/ (/ 5 (/ 2 (- 1))) (/ 2 (- 1))) (* (/ (sqrt 3) 2) (* (/ (sqrt 3) 2) 5))))) (- (* (- (* (- (/ 1 2)) (- (* (/ 1 2) (/ 1 2)) (* (/ (sqrt 3) 2) (/ (sqrt 3) 2)))) (* (/ (sqrt 3) 2) (* (/ (sqrt 3) 2) (+ (- (/ 1 2)) (- (/ 1 2)))))) (- (/ 1 2))) (* (fma (/ (sqrt 3) 2) (- (* (/ 1 2) (/ 1 2)) (* (/ (sqrt 3) 2) (/ (sqrt 3) 2))) (* (- (/ 1 2)) (* (/ (sqrt 3) 2) (+ (- (/ 1 2)) (- (/ 1 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))))) (*.c (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) * * [misc]simplify: iters left: 5 (171 enodes) * [exit]simplify: Simplified to (+ (fma (fma (/ (sqrt 3) 2) (- (* (/ 1 2) (/ 1 2)) (* (/ (sqrt 3) 2) (/ (sqrt 3) 2))) (* (/ (- 1) 2) (* (/ (sqrt 3) 2) (+ (/ (- 1) 2) (/ (- 1) 2))))) (/ (- 1) 2) (* (- (* (+ (/ (- 1) 2) (/ (sqrt 3) 2)) (* (- (/ (- 1) 2) (/ (sqrt 3) 2)) (/ (- 1) 2))) (* (/ (sqrt 3) 2) (* (/ (sqrt 3) 2) (+ (/ (- 1) 2) (/ (- 1) 2))))) (/ (sqrt 3) 2))) (+ (fma (/ (- 1) 2) (fma (/ (- 2) (/ 2 (sqrt 3))) (/ (- 1) 2) (/ (- (* (/ 1 2) (- 2))) (/ 2 (sqrt 3)))) (/ (- (/ (- (* (/ 1 2) (- 2))) (/ 2 (- 1))) (/ (/ (- 2) (/ 2 (sqrt 3))) (/ 2 (sqrt 3)))) (/ 2 (sqrt 3)))) (fma (* (/ (sqrt 3) 2) 5) (/ (- 1) 2) (* (/ (sqrt 3) 2) (/ (* 5 (- 1)) 2))))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ () (im (+.c (+.c (complex (+ (- (/ (- (/ (/ (- 2) (/ 2 (- 1))) (/ 2 (- 1))) (* (* (- 2) (/ (sqrt 3) 2)) (/ (sqrt 3) 2))) (/ 2 (- 1))) (- (* (fma (/ (sqrt 3) 2) (/ (- 2) (/ 2 (- 1))) (* (* (- 2) (/ (sqrt 3) 2)) (- (/ 1 2)))) (/ (sqrt 3) 2)) (- (/ (/ 5 (/ 2 (- 1))) (/ 2 (- 1))) (* (/ (sqrt 3) 2) (* (/ (sqrt 3) 2) 5))))) (- (* (- (* (- (/ 1 2)) (- (* (/ 1 2) (/ 1 2)) (* (/ (sqrt 3) 2) (/ (sqrt 3) 2)))) (* (/ (sqrt 3) 2) (* (/ (sqrt 3) 2) (+ (- (/ 1 2)) (- (/ 1 2)))))) (- (/ 1 2))) (* (fma (/ (sqrt 3) 2) (- (* (/ 1 2) (/ 1 2)) (* (/ (sqrt 3) 2) (/ (sqrt 3) 2))) (* (- (/ 1 2)) (* (/ (sqrt 3) 2) (+ (- (/ 1 2)) (- (/ 1 2)))))) (/ (sqrt 3) 2)))) (+ (fma (fma (/ (sqrt 3) 2) (- (* (/ 1 2) (/ 1 2)) (* (/ (sqrt 3) 2) (/ (sqrt 3) 2))) (* (/ (- 1) 2) (* (/ (sqrt 3) 2) (+ (/ (- 1) 2) (/ (- 1) 2))))) (/ (- 1) 2) (* (- (* (+ (/ (- 1) 2) (/ (sqrt 3) 2)) (* (- (/ (- 1) 2) (/ (sqrt 3) 2)) (/ (- 1) 2))) (* (/ (sqrt 3) 2) (* (/ (sqrt 3) 2) (+ (/ (- 1) 2) (/ (- 1) 2))))) (/ (sqrt 3) 2))) (+ (fma (/ (- 1) 2) (fma (/ (- 2) (/ 2 (sqrt 3))) (/ (- 1) 2) (/ (- (* (/ 1 2) (- 2))) (/ 2 (sqrt 3)))) (/ (- (/ (- (* (/ 1 2) (- 2))) (/ 2 (- 1))) (/ (/ (- 2) (/ 2 (sqrt 3))) (/ 2 (sqrt 3)))) (/ 2 (sqrt 3)))) (fma (* (/ (sqrt 3) 2) 5) (/ (- 1) 2) (* (/ (sqrt 3) 2) (/ (* 5 (- 1)) 2)))))) (*.c (complex 4 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (complex 7 0)))) * * * * [misc]progress: [ 4 / 15 ] simplifiying candidate # * [enter]simplify: Simplifying (*.c (*.c (*.c (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 (25 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * [exit]simplify: Simplified to (*.c (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ () (im (+.c (+.c (+.c (*.c (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (+.c (*.c (*.c (*.c (complex (- 2) 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (*.c (*.c (complex 5 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))))) (*.c (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 (46 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (288 enodes) * [exit]simplify: Simplified to (fma (/ (sqrt 3) 2) (* 1 (sqrt 3)) (- (/ 1 2))) * [misc]simplify: Simplified (2 1 1 1 1 2 1 1) to (λ () (im (+.c (+.c (+.c (+.c (*.c (*.c (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (*.c (complex (fma (/ (sqrt 3) 2) (* 1 (sqrt 3)) (- (/ 1 2))) (+ (* (- (* (- 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)))) (*.c (*.c (complex 5 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (*.c (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 (45 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (255 enodes) * [exit]simplify: Simplified to (+ (/ (sqrt 3) 2) (/ (sqrt 3) 2)) * [misc]simplify: Simplified (2 1 1 1 1 2 1 2) to (λ () (im (+.c (+.c (+.c (+.c (*.c (*.c (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (*.c (complex (fma (/ (sqrt 3) 2) (* 1 (sqrt 3)) (- (/ 1 2))) (+ (/ (sqrt 3) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (*.c (*.c (complex 5 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (*.c (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) * [exit]simplify: Simplified to (complex (- 2) 0) * [misc]simplify: Simplified (2 1 1 1 1 2 1 1) to (λ () (im (+.c (+.c (+.c (+.c (*.c (*.c (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (*.c (*.c (complex (- 2) 0) (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (*.c (*.c (complex 5 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (*.c (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 (42 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (303 enodes) * [exit]simplify: Simplified to (- (/ (/ 5 2) 2) (* (/ (sqrt 3) 2) (* (/ 5 2) (sqrt 3)))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ () (im (+.c (+.c (+.c (+.c (*.c (*.c (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (*.c (*.c (*.c (complex (- 2) 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (complex (- (/ (/ 5 2) 2) (* (/ (sqrt 3) 2) (* (/ 5 2) (sqrt 3)))) (+ (* (- (* 5 (/ (- 1) 2)) (* 0 (/ (sqrt 3) 2))) (/ (sqrt 3) 2)) (* (+ (* 5 (/ (sqrt 3) 2)) (* 0 (/ (- 1) 2))) (/ (- 1) 2))))) (*.c (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 (41 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (244 enodes) * [exit]simplify: Simplified to (* (/ (- 5) (* 2 2)) (+ (sqrt 3) (sqrt 3))) * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ () (im (+.c (+.c (+.c (+.c (*.c (*.c (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (*.c (*.c (*.c (complex (- 2) 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (complex (- (/ (/ 5 2) 2) (* (/ (sqrt 3) 2) (* (/ 5 2) (sqrt 3)))) (* (/ (- 5) (* 2 2)) (+ (sqrt 3) (sqrt 3))))) (*.c (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 (+.c (+.c (+.c (+.c (*.c (*.c (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (*.c (*.c (*.c (complex (- 2) 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (*.c (complex 5 0) (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))))) (*.c (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 (+.c (+.c (+.c (+.c (*.c (*.c (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (*.c (*.c (*.c (complex (- 2) 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (*.c (*.c (complex 5 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (*.c (complex 4 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (complex 7 0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (301 enodes) * [exit]simplify: Simplified to (im (+.c (+.c (complex (+ (* (- 4) (/ 1 2)) 7) (/ 4 (/ 2 (sqrt 3)))) (*.c (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))))) (*.c (complex (+ (/ (* (- 2) (- 1)) 2) 5) (* (- 2) (/ (sqrt 3) 2))) (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))))) * [misc]simplify: Simplified (2) to (λ () (im (+.c (+.c (complex (+ (* (- 4) (/ 1 2)) 7) (/ 4 (/ 2 (sqrt 3)))) (*.c (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))))) (*.c (complex (+ (/ (* (- 2) (- 1)) 2) 5) (* (- 2) (/ (sqrt 3) 2))) (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))))))) * * * * [misc]progress: [ 13 / 15 ] simplifiying candidate # * [enter]simplify: Simplifying (im (+.c (+.c (+.c (+.c (*.c (*.c (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (*.c (*.c (*.c (complex (- 2) 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (*.c (*.c (complex 5 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (*.c (complex 4 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (complex 7 0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (301 enodes) * [exit]simplify: Simplified to (im (+.c (+.c (complex (+ (* (- 4) (/ 1 2)) 7) (/ 4 (/ 2 (sqrt 3)))) (*.c (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))))) (*.c (complex (+ (/ (* (- 2) (- 1)) 2) 5) (* (- 2) (/ (sqrt 3) 2))) (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))))) * [misc]simplify: Simplified (2) to (λ () (im (+.c (+.c (complex (+ (* (- 4) (/ 1 2)) 7) (/ 4 (/ 2 (sqrt 3)))) (*.c (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))))) (*.c (complex (+ (/ (* (- 2) (- 1)) 2) 5) (* (- 2) (/ (sqrt 3) 2))) (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))))))) * * * * [misc]progress: [ 14 / 15 ] simplifiying candidate # * [enter]simplify: Simplifying (im (+.c (+.c (+.c (+.c (*.c (*.c (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (*.c (*.c (*.c (complex (- 2) 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (*.c (*.c (complex 5 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (*.c (complex 4 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (complex 7 0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (301 enodes) * [exit]simplify: Simplified to (im (+.c (+.c (complex (+ (* (- 4) (/ 1 2)) 7) (/ 4 (/ 2 (sqrt 3)))) (*.c (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))))) (*.c (complex (+ (/ (* (- 2) (- 1)) 2) 5) (* (- 2) (/ (sqrt 3) 2))) (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))))) * [misc]simplify: Simplified (2) to (λ () (im (+.c (+.c (complex (+ (* (- 4) (/ 1 2)) 7) (/ 4 (/ 2 (sqrt 3)))) (*.c (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))))) (*.c (complex (+ (/ (* (- 2) (- 1)) 2) 5) (* (- 2) (/ (sqrt 3) 2))) (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))))))) * * * * [misc]progress: [ 15 / 15 ] simplifiying candidate # * [enter]simplify: Simplifying (im (+.c (+.c (+.c (+.c (*.c (*.c (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (*.c (*.c (*.c (complex (- 2) 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (*.c (*.c (complex 5 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (*.c (complex 4 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (complex 7 0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (301 enodes) * [exit]simplify: Simplified to (im (+.c (+.c (complex (+ (* (- 4) (/ 1 2)) 7) (/ 4 (/ 2 (sqrt 3)))) (*.c (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))))) (*.c (complex (+ (/ (* (- 2) (- 1)) 2) 5) (* (- 2) (/ (sqrt 3) 2))) (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))))) * [misc]simplify: Simplified (2) to (λ () (im (+.c (+.c (complex (+ (* (- 4) (/ 1 2)) 7) (/ 4 (/ 2 (sqrt 3)))) (*.c (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))))) (*.c (complex (+ (/ (* (- 2) (- 1)) 2) 5) (* (- 2) (/ (sqrt 3) 2))) (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * [enter]simplify: Simplifying (im (+.c (+.c (+.c (+.c (*.c (*.c (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (*.c (*.c (*.c (complex (- 2) 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (*.c (*.c (complex 5 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (*.c (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 (+.c (+.c (+.c (+.c (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (*.c (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (*.c (complex (- 2) 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))))) (*.c (*.c (complex 5 0) (complex (/ (- 1) 2) (/ (sqrt 3) 2))) (complex (/ (- 1) 2) (/ (sqrt 3) 2)))) (*.c (complex (/ (- 1) 2) (/ (sqrt 3) 2)) (complex 4 0))) (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