* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 114 additional inputs, on iter 1 have 142 / 256 * * * * [misc]points: Computing exacts on every 7 of 114 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 114 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 114 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 40 additional inputs, on iter 2 have 216 / 256 * * * * [misc]points: Computing exacts on every 2 of 40 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 40 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 22 additional inputs, on iter 3 have 234 / 256 * * * * [misc]points: Computing exacts for 22 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 12 additional inputs, on iter 4 have 244 / 256 * * * * [misc]points: Computing exacts for 12 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 5 have 251 / 256 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 6 have 252 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [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 (- (* re re) (* im im)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (- re im) (+ re im)) * * [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 / 1 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (- re im) (+ re im)) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (- re im) (+ re im)) in im * [misc]taylor: Taking taylor expansion of (- re im) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ re im) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- re im) (+ re im)) in re * [misc]taylor: Taking taylor expansion of (- re im) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of (+ re im) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of (* (- re im) (+ re im)) in re * [misc]taylor: Taking taylor expansion of (- re im) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of (+ re im) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (+ 0 (- im)) into (- im) * [misc]backup-simplify: Simplify (+ 0 im) into im * [misc]backup-simplify: Simplify (* (- im) im) into (* -1 (pow im 2)) * [misc]taylor: Taking taylor expansion of (* -1 (pow im 2)) in im * [misc]taylor: Taking taylor expansion of -1 in im * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (pow im 2) in im * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- im) 1) (* 1 im)) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [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 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- im) 0) (+ (* 1 1) (* 0 im))) into 1 * [misc]taylor: Taking taylor expansion of 1 in im * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- im) 0) (+ (* 1 0) (+ (* 0 1) (* 0 im)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [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 (+ (* -1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- im) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 im))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [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 (+ (* -1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (- (pow re 2) (pow im 2)) * [misc]approximate: Taking taylor expansion of (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (- (/ 1 re) (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 re) (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]taylor: Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 re) (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]taylor: Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in im * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 im))) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 im)) (* (- (/ 1 im)) 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 im)) (/ 1 im)) (* 0 1))) into (- (/ 1 (pow im 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow im 2))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (pow im 2)) in im * [misc]taylor: Taking taylor expansion of (pow im 2) in im * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 im)) 0) (+ (* 0 (/ 1 im)) (* 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 (/ 1 im)) (* 0 1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) 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 (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* -1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (- (pow re 2) (pow im 2)) * [misc]approximate: Taking taylor expansion of (* (- (/ 1 (- re)) (/ 1 (- im))) (+ (/ 1 (- re)) (/ 1 (- im)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- re)) (/ 1 (- im))) (+ (/ 1 (- re)) (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in im * [misc]taylor: Taking taylor expansion of (- re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (/ 1 (- re)) into (/ -1 re) * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in im * [misc]taylor: Taking taylor expansion of (- re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (/ 1 (- re)) into (/ -1 re) * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- re)) (/ 1 (- im))) (+ (/ 1 (- re)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- re)) (/ 1 (- im))) (+ (/ 1 (- re)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]taylor: Taking taylor expansion of 1 in im * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (+ 0 (/ 1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (+ (* -1 (- (/ 1 im))) (* (/ 1 im) -1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 im) (- (/ 1 im))) (* 0 -1))) into (- (/ 1 (pow im 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow im 2))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (pow im 2)) in im * [misc]taylor: Taking taylor expansion of (pow im 2) in im * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 im) 0) (+ (* 0 (- (/ 1 im))) (* 0 -1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 im) 0) (+ (* 0 0) (+ (* 0 (- (/ 1 im))) (* 0 -1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) 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 (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (- (pow re 2) (pow im 2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- re im) (+ re im)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (* (- re im) (+ im re)) * [misc]simplify: Simplified (2 1) to (λ (re im) (pow (* (- re im) (+ im re)) 1)) * * * * [misc]progress: [ 4 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (- re im)) (log (+ re im))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (+ (log (+ im re)) (log (- re im))) * [misc]simplify: Simplified (2 1) to (λ (re im) (exp (+ (log (+ im re)) (log (- re im))))) * * * * [misc]progress: [ 6 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- re im) (- re im)) (- re im)) (* (* (+ re im) (+ re im)) (+ re im))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * [exit]simplify: Simplified to (* (pow (+ im re) 3) (pow (- re im) 3)) * [misc]simplify: Simplified (2 1) to (λ (re im) (cbrt (* (pow (+ im re) 3) (pow (- re im) 3)))) * * * * [misc]progress: [ 9 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow re 3) (pow im 3)) (+ (pow re 3) (pow im 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (240 enodes) * [exit]simplify: Simplified to (* (fma (* im im) im (pow re 3)) (fma (* im im) (- im) (pow re 3))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (fma (* im im) im (pow re 3)) (fma (* im im) (- im) (pow re 3))) (* (+ (* re re) (+ (* im im) (* re im))) (+ (* re re) (- (* im im) (* re im)))))) * [enter]simplify: Simplifying (* (+ (* re re) (+ (* im im) (* re im))) (+ (* re re) (- (* im im) (* re im)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * [exit]simplify: Simplified to (* (fma (- im re) im (* re re)) (fma (+ re im) im (* re re))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (- (pow re 3) (pow im 3)) (+ (pow re 3) (pow im 3))) (* (fma (- im re) im (* re re)) (fma (+ re im) im (* re re))))) * * * * [misc]progress: [ 13 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow re 3) (pow im 3)) (- (* re re) (* im im))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * [exit]simplify: Simplified to (* (- (* re re) (* im im)) (fma (- im) (* im im) (pow re 3))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (- (* re re) (* im im)) (fma (- im) (* im im) (pow re 3))) (* (+ (* re re) (+ (* im im) (* re im))) (- re im)))) * [enter]simplify: Simplifying (* (+ (* re re) (+ (* im im) (* re im))) (- re im)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * [exit]simplify: Simplified to (* (- re im) (fma im (+ re im) (* re re))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (- (pow re 3) (pow im 3)) (- (* re re) (* im im))) (* (- re im) (fma im (+ re im) (* re re))))) * * * * [misc]progress: [ 14 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* re re) (* im im)) (+ (pow re 3) (pow im 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * [exit]simplify: Simplified to (* (fma im (* im im) (pow re 3)) (* (+ re im) (- re im))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (fma im (* im im) (pow re 3)) (* (+ re im) (- re im))) (* (+ re im) (+ (* re re) (- (* im im) (* re im)))))) * [enter]simplify: Simplifying (* (+ re im) (+ (* re re) (- (* im im) (* re im)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (269 enodes) * [exit]simplify: Simplified to (* (fma (- im re) im (* re re)) (+ im re)) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (- (* re re) (* im im)) (+ (pow re 3) (pow im 3))) (* (fma (- im re) im (* re re)) (+ im re)))) * * * * [misc]progress: [ 15 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* re re) (* im im)) (- (* re re) (* im im))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * [exit]simplify: Simplified to (* (* (+ re im) (- re im)) (* (+ re im) (- re im))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (* (+ re im) (- re im)) (* (+ re im) (- re im))) (* (+ re im) (- re im)))) * [enter]simplify: Simplifying (* (+ re im) (- re im)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (* (+ im re) (- re im)) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (- (* re re) (* im im)) (- (* re re) (* im im))) (* (+ im re) (- re im)))) * * * * [misc]progress: [ 16 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- re im) im) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (* (- re im) im) * [misc]simplify: Simplified (2 2) to (λ (re im) (+ (* (- re im) re) (* (- re im) im))) * * * * [misc]progress: [ 18 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* im (- re im)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (* im (- re im)) * [misc]simplify: Simplified (2 2) to (λ (re im) (+ (* re (- re im)) (* im (- re im)))) * * * * [misc]progress: [ 19 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ re im)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ im re)) * [misc]simplify: Simplified (2 2) to (λ (re im) (* (* (- re im) (* (cbrt (+ re im)) (cbrt (+ re im)))) (cbrt (+ im re)))) * * * * [misc]progress: [ 20 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ re im)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ im re)) * [misc]simplify: Simplified (2 2) to (λ (re im) (* (* (- re im) (sqrt (+ re im))) (sqrt (+ im re)))) * * * * [misc]progress: [ 21 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (+ re im) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ im re) * [misc]simplify: Simplified (2 2) to (λ (re im) (* (* (- re im) 1) (+ im re))) * * * * [misc]progress: [ 22 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- re im)) (cbrt (- re im))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (- re im)) (cbrt (- re im))) * [misc]simplify: Simplified (2 1) to (λ (re im) (* (* (cbrt (- re im)) (cbrt (- re im))) (* (cbrt (- re im)) (+ re im)))) * * * * [misc]progress: [ 23 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- re im)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (sqrt (- re im)) * [misc]simplify: Simplified (2 1) to (λ (re im) (* (sqrt (- re im)) (* (sqrt (- re im)) (+ re im)))) * * * * [misc]progress: [ 24 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* re re) (- (* im im) (* re im))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (fma (- im re) im (* re re)) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (- re im) (+ (pow re 3) (pow im 3))) (fma (- im re) im (* re re)))) * * * * [misc]progress: [ 26 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- re im) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- re im) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (- re im) (- (* re re) (* im im))) (- re im))) * * * * [misc]progress: [ 27 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow re 3) (pow im 3)) (+ re im)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to (* (+ re im) (fma (* im im) (- im) (pow re 3))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (+ re im) (fma (* im im) (- im) (pow re 3))) (+ (* re re) (+ (* im im) (* re im))))) * * * * [misc]progress: [ 28 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* re re) (* im im)) (+ re im)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * [exit]simplify: Simplified to (* (- re im) (* (+ re im) (+ re im))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (- re im) (* (+ re im) (+ re im))) (+ re im))) * * * * [misc]progress: [ 29 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow re 2) (pow im 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (- (* re re) (* im im)) * [misc]simplify: Simplified (2) to (λ (re im) (- (* re re) (* im im))) * * * * [misc]progress: [ 31 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow re 2) (pow im 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (- (* re re) (* im im)) * [misc]simplify: Simplified (2) to (λ (re im) (- (* re re) (* im im))) * * * * [misc]progress: [ 32 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow re 2) (pow im 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (- (* re re) (* im im)) * [misc]simplify: Simplified (2) to (λ (re im) (- (* re re) (* im im))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 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 (* (- re im) (+ re im))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (- re im) (+ re im))) in im * [misc]taylor: Taking taylor expansion of (* (- re im) (+ re im)) in im * [misc]taylor: Taking taylor expansion of (- re im) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ re im) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ re 0) into re * [misc]backup-simplify: Simplify (+ re 0) into re * [misc]backup-simplify: Simplify (* re re) into (pow re 2) * [misc]backup-simplify: Simplify (sqrt (pow re 2)) into re * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* re 1) (* -1 re)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (- re im) (+ re im))) in re * [misc]taylor: Taking taylor expansion of (* (- re im) (+ re im)) in re * [misc]taylor: Taking taylor expansion of (- re im) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of (+ re im) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (+ 0 (- im)) into (- im) * [misc]backup-simplify: Simplify (+ 0 im) into im * [misc]backup-simplify: Simplify (* (- im) im) into (* -1 (pow im 2)) * [misc]backup-simplify: Simplify (sqrt (* -1 (pow im 2))) into (sqrt (* -1 (pow im 2))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- im) 1) (* 1 im)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -1 (pow im 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (- re im) (+ re im))) in re * [misc]taylor: Taking taylor expansion of (* (- re im) (+ re im)) in re * [misc]taylor: Taking taylor expansion of (- re im) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of (+ re im) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (+ 0 (- im)) into (- im) * [misc]backup-simplify: Simplify (+ 0 im) into im * [misc]backup-simplify: Simplify (* (- im) im) into (* -1 (pow im 2)) * [misc]backup-simplify: Simplify (sqrt (* -1 (pow im 2))) into (sqrt (* -1 (pow im 2))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- im) 1) (* 1 im)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -1 (pow im 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (pow im 2))) in im * [misc]taylor: Taking taylor expansion of (* -1 (pow im 2)) in im * [misc]taylor: Taking taylor expansion of -1 in im * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (pow im 2) in im * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- im) 0) (+ (* 1 1) (* 0 im))) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (* -1 (pow im 2))))) into (/ 1/2 (sqrt (* -1 (pow im 2)))) * [misc]taylor: Taking taylor expansion of (/ 1/2 (sqrt (* -1 (pow im 2)))) in im * [misc]taylor: Taking taylor expansion of 1/2 in im * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (pow im 2))) in im * [misc]taylor: Taking taylor expansion of (* -1 (pow im 2)) in im * [misc]taylor: Taking taylor expansion of -1 in im * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (pow im 2) in im * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))))) 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 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- im) 0) (+ (* 1 0) (+ (* 0 1) (* 0 im)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (* -1 (pow im 2)))))))) (* 2 (sqrt (* -1 (pow im 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sqrt -1) (* im 1)) into (* (sqrt -1) im) * [misc]approximate: Taking taylor expansion of (sqrt (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (- (/ 1 re) (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 re) 0) into (/ 1 re) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 re) 0) into (/ 1 re) * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 re)) (* (/ 1 re) 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 re) (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]taylor: Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 im))) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 im)) (* (- (/ 1 im)) 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 re) (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]taylor: Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 im))) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 im)) (* (- (/ 1 im)) 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in im * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 im)) (/ 1 im)) (* 0 1))) into (- (/ 1 (pow im 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow im 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow im 2)) * [misc]taylor: Taking taylor expansion of (/ -1/2 (pow im 2)) in im * [misc]taylor: Taking taylor expansion of -1/2 in im * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow im 2) in im * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 im)) 0) (+ (* 0 (/ 1 im)) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow im 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) 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 (* 1 (* 1 (/ 1 (/ 1 re)))) into re * [misc]approximate: Taking taylor expansion of (sqrt (* (- (/ 1 (- re)) (/ 1 (- im))) (+ (/ 1 (- re)) (/ 1 (- im))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (- (/ 1 (- re)) (/ 1 (- im))) (+ (/ 1 (- re)) (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- re)) (/ 1 (- im))) (+ (/ 1 (- re)) (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in im * [misc]taylor: Taking taylor expansion of (- re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (/ 1 (- re)) into (/ -1 re) * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in im * [misc]taylor: Taking taylor expansion of (- re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (/ 1 (- re)) into (/ -1 re) * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 re) 0) into (- (/ 1 re)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 re) 0) into (- (/ 1 re)) * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 re))) (* (- (/ 1 re)) -1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (- (/ 1 (- re)) (/ 1 (- im))) (+ (/ 1 (- re)) (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- re)) (/ 1 (- im))) (+ (/ 1 (- re)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (+ 0 (/ 1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (+ (* -1 (- (/ 1 im))) (* (/ 1 im) -1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (- (/ 1 (- re)) (/ 1 (- im))) (+ (/ 1 (- re)) (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- re)) (/ 1 (- im))) (+ (/ 1 (- re)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (+ 0 (/ 1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (+ (* -1 (- (/ 1 im))) (* (/ 1 im) -1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in im * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 im) (- (/ 1 im))) (* 0 -1))) into (- (/ 1 (pow im 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow im 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow im 2)) * [misc]taylor: Taking taylor expansion of (/ -1/2 (pow im 2)) in im * [misc]taylor: Taking taylor expansion of -1/2 in im * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow im 2) in im * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 im) 0) (+ (* 0 (- (/ 1 im))) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow im 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) 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 (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (sqrt (* (- re im) (+ re im))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (- re im) (+ re im))) in im * [misc]taylor: Taking taylor expansion of (* (- re im) (+ re im)) in im * [misc]taylor: Taking taylor expansion of (- re im) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ re im) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ re 0) into re * [misc]backup-simplify: Simplify (+ re 0) into re * [misc]backup-simplify: Simplify (* re re) into (pow re 2) * [misc]backup-simplify: Simplify (sqrt (pow re 2)) into re * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* re 1) (* -1 re)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (- re im) (+ re im))) in re * [misc]taylor: Taking taylor expansion of (* (- re im) (+ re im)) in re * [misc]taylor: Taking taylor expansion of (- re im) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of (+ re im) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (+ 0 (- im)) into (- im) * [misc]backup-simplify: Simplify (+ 0 im) into im * [misc]backup-simplify: Simplify (* (- im) im) into (* -1 (pow im 2)) * [misc]backup-simplify: Simplify (sqrt (* -1 (pow im 2))) into (sqrt (* -1 (pow im 2))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- im) 1) (* 1 im)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -1 (pow im 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (- re im) (+ re im))) in re * [misc]taylor: Taking taylor expansion of (* (- re im) (+ re im)) in re * [misc]taylor: Taking taylor expansion of (- re im) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of (+ re im) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (+ 0 (- im)) into (- im) * [misc]backup-simplify: Simplify (+ 0 im) into im * [misc]backup-simplify: Simplify (* (- im) im) into (* -1 (pow im 2)) * [misc]backup-simplify: Simplify (sqrt (* -1 (pow im 2))) into (sqrt (* -1 (pow im 2))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- im) 1) (* 1 im)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -1 (pow im 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (pow im 2))) in im * [misc]taylor: Taking taylor expansion of (* -1 (pow im 2)) in im * [misc]taylor: Taking taylor expansion of -1 in im * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (pow im 2) in im * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- im) 0) (+ (* 1 1) (* 0 im))) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (* -1 (pow im 2))))) into (/ 1/2 (sqrt (* -1 (pow im 2)))) * [misc]taylor: Taking taylor expansion of (/ 1/2 (sqrt (* -1 (pow im 2)))) in im * [misc]taylor: Taking taylor expansion of 1/2 in im * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (pow im 2))) in im * [misc]taylor: Taking taylor expansion of (* -1 (pow im 2)) in im * [misc]taylor: Taking taylor expansion of -1 in im * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (pow im 2) in im * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))))) 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 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- im) 0) (+ (* 1 0) (+ (* 0 1) (* 0 im)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (* -1 (pow im 2)))))))) (* 2 (sqrt (* -1 (pow im 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sqrt -1) (* im 1)) into (* (sqrt -1) im) * [misc]approximate: Taking taylor expansion of (sqrt (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (- (/ 1 re) (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 re) 0) into (/ 1 re) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 re) 0) into (/ 1 re) * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 re)) (* (/ 1 re) 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 re) (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]taylor: Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 im))) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 im)) (* (- (/ 1 im)) 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 re) (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]taylor: Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 im))) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 im)) (* (- (/ 1 im)) 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in im * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 im)) (/ 1 im)) (* 0 1))) into (- (/ 1 (pow im 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow im 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow im 2)) * [misc]taylor: Taking taylor expansion of (/ -1/2 (pow im 2)) in im * [misc]taylor: Taking taylor expansion of -1/2 in im * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow im 2) in im * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 im)) 0) (+ (* 0 (/ 1 im)) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow im 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) 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 (* 1 (* 1 (/ 1 (/ 1 re)))) into re * [misc]approximate: Taking taylor expansion of (sqrt (* (- (/ 1 (- re)) (/ 1 (- im))) (+ (/ 1 (- re)) (/ 1 (- im))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (- (/ 1 (- re)) (/ 1 (- im))) (+ (/ 1 (- re)) (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- re)) (/ 1 (- im))) (+ (/ 1 (- re)) (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in im * [misc]taylor: Taking taylor expansion of (- re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (/ 1 (- re)) into (/ -1 re) * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in im * [misc]taylor: Taking taylor expansion of (- re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (/ 1 (- re)) into (/ -1 re) * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 re) 0) into (- (/ 1 re)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 re) 0) into (- (/ 1 re)) * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 re))) (* (- (/ 1 re)) -1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (- (/ 1 (- re)) (/ 1 (- im))) (+ (/ 1 (- re)) (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- re)) (/ 1 (- im))) (+ (/ 1 (- re)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (+ 0 (/ 1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (+ (* -1 (- (/ 1 im))) (* (/ 1 im) -1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (- (/ 1 (- re)) (/ 1 (- im))) (+ (/ 1 (- re)) (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- re)) (/ 1 (- im))) (+ (/ 1 (- re)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (+ 0 (/ 1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (+ (* -1 (- (/ 1 im))) (* (/ 1 im) -1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in im * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 im) (- (/ 1 im))) (* 0 -1))) into (- (/ 1 (pow im 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow im 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow im 2)) * [misc]taylor: Taking taylor expansion of (/ -1/2 (pow im 2)) in im * [misc]taylor: Taking taylor expansion of -1/2 in im * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow im 2) in im * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 im) 0) (+ (* 0 (- (/ 1 im))) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow im 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) 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 (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (sqrt (* (- re im) (+ re im))) (sqrt (* (- re im) (+ re im)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (* (- re im) (+ re im))) (sqrt (* (- re im) (+ re im)))) in im * [misc]taylor: Taking taylor expansion of (sqrt (* (- re im) (+ re im))) in im * [misc]taylor: Taking taylor expansion of (* (- re im) (+ re im)) in im * [misc]taylor: Taking taylor expansion of (- re im) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ re im) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ re 0) into re * [misc]backup-simplify: Simplify (+ re 0) into re * [misc]backup-simplify: Simplify (* re re) into (pow re 2) * [misc]backup-simplify: Simplify (sqrt (pow re 2)) into re * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* re 1) (* -1 re)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (- re im) (+ re im))) in im * [misc]taylor: Taking taylor expansion of (* (- re im) (+ re im)) in im * [misc]taylor: Taking taylor expansion of (- re im) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ re im) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ re 0) into re * [misc]backup-simplify: Simplify (+ re 0) into re * [misc]backup-simplify: Simplify (* re re) into (pow re 2) * [misc]backup-simplify: Simplify (sqrt (pow re 2)) into re * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* re 1) (* -1 re)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (* (- re im) (+ re im))) (sqrt (* (- re im) (+ re im)))) in re * [misc]taylor: Taking taylor expansion of (sqrt (* (- re im) (+ re im))) in re * [misc]taylor: Taking taylor expansion of (* (- re im) (+ re im)) in re * [misc]taylor: Taking taylor expansion of (- re im) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of (+ re im) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (+ 0 (- im)) into (- im) * [misc]backup-simplify: Simplify (+ 0 im) into im * [misc]backup-simplify: Simplify (* (- im) im) into (* -1 (pow im 2)) * [misc]backup-simplify: Simplify (sqrt (* -1 (pow im 2))) into (sqrt (* -1 (pow im 2))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- im) 1) (* 1 im)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -1 (pow im 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (- re im) (+ re im))) in re * [misc]taylor: Taking taylor expansion of (* (- re im) (+ re im)) in re * [misc]taylor: Taking taylor expansion of (- re im) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of (+ re im) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (+ 0 (- im)) into (- im) * [misc]backup-simplify: Simplify (+ 0 im) into im * [misc]backup-simplify: Simplify (* (- im) im) into (* -1 (pow im 2)) * [misc]backup-simplify: Simplify (sqrt (* -1 (pow im 2))) into (sqrt (* -1 (pow im 2))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- im) 1) (* 1 im)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -1 (pow im 2))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (* (- re im) (+ re im))) (sqrt (* (- re im) (+ re im)))) in re * [misc]taylor: Taking taylor expansion of (sqrt (* (- re im) (+ re im))) in re * [misc]taylor: Taking taylor expansion of (* (- re im) (+ re im)) in re * [misc]taylor: Taking taylor expansion of (- re im) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of (+ re im) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (+ 0 (- im)) into (- im) * [misc]backup-simplify: Simplify (+ 0 im) into im * [misc]backup-simplify: Simplify (* (- im) im) into (* -1 (pow im 2)) * [misc]backup-simplify: Simplify (sqrt (* -1 (pow im 2))) into (sqrt (* -1 (pow im 2))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- im) 1) (* 1 im)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -1 (pow im 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (- re im) (+ re im))) in re * [misc]taylor: Taking taylor expansion of (* (- re im) (+ re im)) in re * [misc]taylor: Taking taylor expansion of (- re im) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of (+ re im) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (+ 0 (- im)) into (- im) * [misc]backup-simplify: Simplify (+ 0 im) into im * [misc]backup-simplify: Simplify (* (- im) im) into (* -1 (pow im 2)) * [misc]backup-simplify: Simplify (sqrt (* -1 (pow im 2))) into (sqrt (* -1 (pow im 2))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- im) 1) (* 1 im)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -1 (pow im 2))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (* -1 (pow im 2))) (sqrt (* -1 (pow im 2)))) into (pow (sqrt (* -1 (pow im 2))) 2) * [misc]taylor: Taking taylor expansion of (pow (sqrt (* -1 (pow im 2))) 2) in im * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sqrt (* -1 (pow im 2)))))) in im * [misc]taylor: Taking taylor expansion of (* 2 (log (sqrt (* -1 (pow im 2))))) in im * [misc]taylor: Taking taylor expansion of 2 in im * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (pow im 2)))) in im * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (pow im 2))) in im * [misc]taylor: Taking taylor expansion of (* -1 (pow im 2)) in im * [misc]taylor: Taking taylor expansion of -1 in im * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (pow im 2) in im * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (log (sqrt -1)) into (log (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log im)) (log (sqrt -1))) into (+ (log (sqrt -1)) (log im)) * [misc]backup-simplify: Simplify (* 2 (+ (log (sqrt -1)) (log im))) into (* 2 (+ (log (sqrt -1)) (log im))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (sqrt -1)) (log im)))) into (exp (* 2 (+ (log (sqrt -1)) (log im)))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (sqrt -1)) (log im)))) into (exp (* 2 (+ (log (sqrt -1)) (log im)))) * [misc]backup-simplify: Simplify (+ (* (sqrt (* -1 (pow im 2))) 0) (* 0 (sqrt (* -1 (pow im 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log im)) (log (sqrt -1))) into (+ (log (sqrt -1)) (log im)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (sqrt -1)) (log im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (sqrt -1)) (log im)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- im) 0) (+ (* 1 1) (* 0 im))) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (* -1 (pow im 2))))) into (/ 1/2 (sqrt (* -1 (pow im 2)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- im) 0) (+ (* 1 1) (* 0 im))) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (* -1 (pow im 2))))) into (/ 1/2 (sqrt (* -1 (pow im 2)))) * [misc]backup-simplify: Simplify (+ (* (sqrt (* -1 (pow im 2))) (/ 1/2 (sqrt (* -1 (pow im 2))))) (+ (* 0 0) (* (/ 1/2 (sqrt (* -1 (pow im 2)))) (sqrt (* -1 (pow im 2)))))) into 1 * [misc]taylor: Taking taylor expansion of 1 in im * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt -1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log im)) (log (sqrt -1))) into (+ (log (sqrt -1)) (log im)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log (sqrt -1)) (log im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (sqrt -1)) (log im)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- im) 0) (+ (* 1 0) (+ (* 0 1) (* 0 im)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (* -1 (pow im 2)))))))) (* 2 (sqrt (* -1 (pow im 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- im) 0) (+ (* 1 0) (+ (* 0 1) (* 0 im)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (* -1 (pow im 2)))))))) (* 2 (sqrt (* -1 (pow im 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (* -1 (pow im 2))) 0) (+ (* 0 (/ 1/2 (sqrt (* -1 (pow im 2))))) (+ (* (/ 1/2 (sqrt (* -1 (pow im 2)))) 0) (* 0 (sqrt (* -1 (pow im 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt -1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt -1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log im)) (log (sqrt -1))) into (+ (log (sqrt -1)) (log im)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (sqrt -1)) (log im)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (sqrt -1)) (log im)))) (+ (* (/ (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 (+ (* 1 (pow (* 1 re) 2)) (exp (* 2 (+ (log (sqrt -1)) (log im))))) into (+ (exp (* 2 (+ (log (sqrt -1)) (log im)))) (pow re 2)) * [misc]approximate: Taking taylor expansion of (* (sqrt (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im)))) (sqrt (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im)))) (sqrt (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im))))) in im * [misc]taylor: Taking taylor expansion of (sqrt (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (- (/ 1 re) (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 re) 0) into (/ 1 re) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 re) 0) into (/ 1 re) * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 re)) (* (/ 1 re) 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (- (/ 1 re) (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 re) 0) into (/ 1 re) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 re) 0) into (/ 1 re) * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 re)) (* (/ 1 re) 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im)))) (sqrt (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 re) (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]taylor: Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 im))) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 im)) (* (- (/ 1 im)) 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 re) (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]taylor: Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 im))) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 im)) (* (- (/ 1 im)) 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im)))) (sqrt (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 re) (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]taylor: Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 im))) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 im)) (* (- (/ 1 im)) 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 re) (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]taylor: Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 im))) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 im)) (* (- (/ 1 im)) 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in im * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 im)) (/ 1 im)) (* 0 1))) into (- (/ 1 (pow im 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow im 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow im 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 im)) (/ 1 im)) (* 0 1))) into (- (/ 1 (pow im 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow im 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow im 2)) * [misc]backup-simplify: Simplify (+ (* 1 (/ -1/2 (pow im 2))) (+ (* 0 0) (* (/ -1/2 (pow im 2)) 1))) into (- (/ 1 (pow im 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow im 2))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (pow im 2)) in im * [misc]taylor: Taking taylor expansion of (pow im 2) in im * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 im)) 0) (+ (* 0 (/ 1 im)) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow im 2)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 im)) 0) (+ (* 0 (/ 1 im)) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow im 2)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (/ -1/2 (pow im 2))) (+ (* (/ -1/2 (pow im 2)) 0) (* 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 (/ 1 im)) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ -1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 (/ 1 im)) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ -1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) * [misc]backup-simplify: Simplify (+ (* 1 (/ -1/8 (pow im 4))) (+ (* 0 0) (+ (* (/ -1/2 (pow im 2)) (/ -1/2 (pow im 2))) (+ (* 0 0) (* (/ -1/8 (pow im 4)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) 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 (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* -1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (- (pow re 2) (pow im 2)) * [misc]approximate: Taking taylor expansion of (* (sqrt (* (- (/ 1 (- re)) (/ 1 (- im))) (+ (/ 1 (- re)) (/ 1 (- im))))) (sqrt (* (- (/ 1 (- re)) (/ 1 (- im))) (+ (/ 1 (- re)) (/ 1 (- im)))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (* (- (/ 1 (- re)) (/ 1 (- im))) (+ (/ 1 (- re)) (/ 1 (- im))))) (sqrt (* (- (/ 1 (- re)) (/ 1 (- im))) (+ (/ 1 (- re)) (/ 1 (- im)))))) in im * [misc]taylor: Taking taylor expansion of (sqrt (* (- (/ 1 (- re)) (/ 1 (- im))) (+ (/ 1 (- re)) (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- re)) (/ 1 (- im))) (+ (/ 1 (- re)) (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in im * [misc]taylor: Taking taylor expansion of (- re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (/ 1 (- re)) into (/ -1 re) * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in im * [misc]taylor: Taking taylor expansion of (- re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (/ 1 (- re)) into (/ -1 re) * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 re) 0) into (- (/ 1 re)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 re) 0) into (- (/ 1 re)) * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 re))) (* (- (/ 1 re)) -1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (- (/ 1 (- re)) (/ 1 (- im))) (+ (/ 1 (- re)) (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- re)) (/ 1 (- im))) (+ (/ 1 (- re)) (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in im * [misc]taylor: Taking taylor expansion of (- re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (/ 1 (- re)) into (/ -1 re) * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in im * [misc]taylor: Taking taylor expansion of (- re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (/ 1 (- re)) into (/ -1 re) * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 re) 0) into (- (/ 1 re)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 re) 0) into (- (/ 1 re)) * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 re))) (* (- (/ 1 re)) -1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (* (- (/ 1 (- re)) (/ 1 (- im))) (+ (/ 1 (- re)) (/ 1 (- im))))) (sqrt (* (- (/ 1 (- re)) (/ 1 (- im))) (+ (/ 1 (- re)) (/ 1 (- im)))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (* (- (/ 1 (- re)) (/ 1 (- im))) (+ (/ 1 (- re)) (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- re)) (/ 1 (- im))) (+ (/ 1 (- re)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (+ 0 (/ 1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (+ (* -1 (- (/ 1 im))) (* (/ 1 im) -1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (- (/ 1 (- re)) (/ 1 (- im))) (+ (/ 1 (- re)) (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- re)) (/ 1 (- im))) (+ (/ 1 (- re)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (+ 0 (/ 1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (+ (* -1 (- (/ 1 im))) (* (/ 1 im) -1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (* (- (/ 1 (- re)) (/ 1 (- im))) (+ (/ 1 (- re)) (/ 1 (- im))))) (sqrt (* (- (/ 1 (- re)) (/ 1 (- im))) (+ (/ 1 (- re)) (/ 1 (- im)))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (* (- (/ 1 (- re)) (/ 1 (- im))) (+ (/ 1 (- re)) (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- re)) (/ 1 (- im))) (+ (/ 1 (- re)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (+ 0 (/ 1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (+ (* -1 (- (/ 1 im))) (* (/ 1 im) -1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (- (/ 1 (- re)) (/ 1 (- im))) (+ (/ 1 (- re)) (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- re)) (/ 1 (- im))) (+ (/ 1 (- re)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (+ 0 (/ 1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (+ (* -1 (- (/ 1 im))) (* (/ 1 im) -1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in im * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 im) (- (/ 1 im))) (* 0 -1))) into (- (/ 1 (pow im 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow im 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow im 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 im) (- (/ 1 im))) (* 0 -1))) into (- (/ 1 (pow im 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow im 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow im 2)) * [misc]backup-simplify: Simplify (+ (* 1 (/ -1/2 (pow im 2))) (+ (* 0 0) (* (/ -1/2 (pow im 2)) 1))) into (- (/ 1 (pow im 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow im 2))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (pow im 2)) in im * [misc]taylor: Taking taylor expansion of (pow im 2) in im * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 im) 0) (+ (* 0 (- (/ 1 im))) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow im 2)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 im) 0) (+ (* 0 (- (/ 1 im))) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow im 2)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (/ -1/2 (pow im 2))) (+ (* (/ -1/2 (pow im 2)) 0) (* 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 im) 0) (+ (* 0 0) (+ (* 0 (- (/ 1 im))) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ -1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 im) 0) (+ (* 0 0) (+ (* 0 (- (/ 1 im))) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ -1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) * [misc]backup-simplify: Simplify (+ (* 1 (/ -1/8 (pow im 4))) (+ (* 0 0) (+ (* (/ -1/2 (pow im 2)) (/ -1/2 (pow im 2))) (+ (* 0 0) (* (/ -1/8 (pow im 4)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) 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 (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (- (pow re 2) (pow im 2)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (* (- re im) (+ re im)) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (- re im) (+ re im)) in im * [misc]taylor: Taking taylor expansion of (- re im) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ re im) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- re im) (+ re im)) in re * [misc]taylor: Taking taylor expansion of (- re im) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of (+ re im) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of (* (- re im) (+ re im)) in re * [misc]taylor: Taking taylor expansion of (- re im) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of (+ re im) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (+ 0 (- im)) into (- im) * [misc]backup-simplify: Simplify (+ 0 im) into im * [misc]backup-simplify: Simplify (* (- im) im) into (* -1 (pow im 2)) * [misc]taylor: Taking taylor expansion of (* -1 (pow im 2)) in im * [misc]taylor: Taking taylor expansion of -1 in im * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (pow im 2) in im * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- im) 1) (* 1 im)) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [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 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- im) 0) (+ (* 1 1) (* 0 im))) into 1 * [misc]taylor: Taking taylor expansion of 1 in im * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- im) 0) (+ (* 1 0) (+ (* 0 1) (* 0 im)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [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 (+ (* -1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- im) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 im))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [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 (+ (* -1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (- (pow re 2) (pow im 2)) * [misc]approximate: Taking taylor expansion of (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (- (/ 1 re) (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 re) (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]taylor: Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 re) (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]taylor: Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in im * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 im))) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 im)) (* (- (/ 1 im)) 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 im)) (/ 1 im)) (* 0 1))) into (- (/ 1 (pow im 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow im 2))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (pow im 2)) in im * [misc]taylor: Taking taylor expansion of (pow im 2) in im * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 im)) 0) (+ (* 0 (/ 1 im)) (* 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 (/ 1 im)) (* 0 1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) 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 (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* -1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (- (pow re 2) (pow im 2)) * [misc]approximate: Taking taylor expansion of (* (- (/ 1 (- re)) (/ 1 (- im))) (+ (/ 1 (- re)) (/ 1 (- im)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- re)) (/ 1 (- im))) (+ (/ 1 (- re)) (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in im * [misc]taylor: Taking taylor expansion of (- re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (/ 1 (- re)) into (/ -1 re) * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in im * [misc]taylor: Taking taylor expansion of (- re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (/ 1 (- re)) into (/ -1 re) * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- re)) (/ 1 (- im))) (+ (/ 1 (- re)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- re)) (/ 1 (- im))) (+ (/ 1 (- re)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]taylor: Taking taylor expansion of 1 in im * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (+ 0 (/ 1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (+ (* -1 (- (/ 1 im))) (* (/ 1 im) -1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 im) (- (/ 1 im))) (* 0 -1))) into (- (/ 1 (pow im 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow im 2))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (pow im 2)) in im * [misc]taylor: Taking taylor expansion of (pow im 2) in im * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 im) 0) (+ (* 0 (- (/ 1 im))) (* 0 -1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 im) 0) (+ (* 0 0) (+ (* 0 (- (/ 1 im))) (* 0 -1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) 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 (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (- (pow re 2) (pow im 2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 187 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 187 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 187 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 187 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 187 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 187 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 187 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 187 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- re im)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (sqrt (- re im)) * [misc]simplify: Simplified (2 2 1) to (λ (re im) (* (sqrt (* (- re im) (+ re im))) (* (sqrt (- re im)) (sqrt (+ re im))))) * * * * [misc]progress: [ 10 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (- (pow re 3) (pow im 3)) (+ (pow re 3) (pow im 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (245 enodes) * [exit]simplify: Simplified to (sqrt (* (fma re (* re re) (pow im 3)) (fma (- im) (* im im) (pow re 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (re im) (* (sqrt (* (- re im) (+ re im))) (/ (sqrt (* (fma re (* re re) (pow im 3)) (fma (- im) (* im im) (pow re 3)))) (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (+ (* re re) (- (* im im) (* re im)))))))) * * * * [misc]progress: [ 11 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (- (pow re 3) (pow im 3)) (- (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * [exit]simplify: Simplified to (sqrt (* (- (* re re) (* im im)) (fma (* im im) (- im) (pow re 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (re im) (* (sqrt (* (- re im) (+ re im))) (/ (sqrt (* (- (* re re) (* im im)) (fma (* im im) (- im) (pow re 3)))) (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (- re im)))))) * * * * [misc]progress: [ 12 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (- (* re re) (* im im)) (+ (pow re 3) (pow im 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (335 enodes) * [exit]simplify: Simplified to (sqrt (* (fma im (* im im) (pow re 3)) (* (+ re im) (- re im)))) * [misc]simplify: Simplified (2 2 1) to (λ (re im) (* (sqrt (* (- re im) (+ re im))) (/ (sqrt (* (fma im (* im im) (pow re 3)) (* (+ re im) (- re im)))) (sqrt (* (+ re im) (+ (* re re) (- (* im im) (* re im)))))))) * * * * [misc]progress: [ 13 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (- (* re re) (* im im)) (- (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * [exit]simplify: Simplified to (fabs (* (- re im) (+ re im))) * [misc]simplify: Simplified (2 2 1) to (λ (re im) (* (sqrt (* (- re im) (+ re im))) (/ (fabs (* (- re im) (+ re im))) (sqrt (* (+ re im) (- re im)))))) * * * * [misc]progress: [ 14 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (- re im) (+ (pow re 3) (pow im 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (407 enodes) * [exit]simplify: Simplified to (sqrt (* (- re im) (fma im (* im im) (pow re 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (re im) (* (sqrt (* (- re im) (+ re im))) (/ (sqrt (* (- re im) (fma im (* im im) (pow re 3)))) (sqrt (+ (* re re) (- (* im im) (* re im))))))) * * * * [misc]progress: [ 15 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (- re im) (- (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * [exit]simplify: Simplified to (sqrt (* (+ im re) (* (- re im) (- re im)))) * [misc]simplify: Simplified (2 2 1) to (λ (re im) (* (sqrt (* (- re im) (+ re im))) (/ (sqrt (* (+ im re) (* (- re im) (- re im)))) (sqrt (- re im))))) * * * * [misc]progress: [ 16 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (- (pow re 3) (pow im 3)) (+ re im))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (sqrt (* (+ re im) (fma (* im im) (- im) (pow re 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (re im) (* (sqrt (* (- re im) (+ re im))) (/ (sqrt (* (+ re im) (fma (* im im) (- im) (pow re 3)))) (sqrt (+ (* re re) (+ (* im im) (* re im))))))) * * * * [misc]progress: [ 17 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (- (* re re) (* im im)) (+ re im))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ re im) (+ re im)) (- re im))) * [misc]simplify: Simplified (2 2 1) to (λ (re im) (* (sqrt (* (- re im) (+ re im))) (/ (sqrt (* (* (+ re im) (+ re im)) (- re im))) (sqrt (+ re im))))) * * * * [misc]progress: [ 18 / 187 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 187 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 187 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 187 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 187 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 187 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 187 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 187 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 187 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 187 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- re im)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (sqrt (- re im)) * [misc]simplify: Simplified (2 1 1) to (λ (re im) (* (* (sqrt (- re im)) (sqrt (+ re im))) (sqrt (* (- re im) (+ re im))))) * * * * [misc]progress: [ 29 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (- (pow re 3) (pow im 3)) (+ (pow re 3) (pow im 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (245 enodes) * [exit]simplify: Simplified to (sqrt (* (fma re (* re re) (pow im 3)) (fma (- im) (* im im) (pow re 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (re im) (* (/ (sqrt (* (fma re (* re re) (pow im 3)) (fma (- im) (* im im) (pow re 3)))) (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (+ (* re re) (- (* im im) (* re im)))))) (sqrt (* (- re im) (+ re im))))) * * * * [misc]progress: [ 30 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (- (pow re 3) (pow im 3)) (- (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * [exit]simplify: Simplified to (sqrt (* (- (* re re) (* im im)) (fma (* im im) (- im) (pow re 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (re im) (* (/ (sqrt (* (- (* re re) (* im im)) (fma (* im im) (- im) (pow re 3)))) (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (- re im)))) (sqrt (* (- re im) (+ re im))))) * * * * [misc]progress: [ 31 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (- (* re re) (* im im)) (+ (pow re 3) (pow im 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (335 enodes) * [exit]simplify: Simplified to (sqrt (* (fma im (* im im) (pow re 3)) (* (+ re im) (- re im)))) * [misc]simplify: Simplified (2 1 1) to (λ (re im) (* (/ (sqrt (* (fma im (* im im) (pow re 3)) (* (+ re im) (- re im)))) (sqrt (* (+ re im) (+ (* re re) (- (* im im) (* re im)))))) (sqrt (* (- re im) (+ re im))))) * * * * [misc]progress: [ 32 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (- (* re re) (* im im)) (- (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * [exit]simplify: Simplified to (fabs (* (- re im) (+ re im))) * [misc]simplify: Simplified (2 1 1) to (λ (re im) (* (/ (fabs (* (- re im) (+ re im))) (sqrt (* (+ re im) (- re im)))) (sqrt (* (- re im) (+ re im))))) * * * * [misc]progress: [ 33 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (- re im) (+ (pow re 3) (pow im 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (407 enodes) * [exit]simplify: Simplified to (sqrt (* (- re im) (fma im (* im im) (pow re 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (re im) (* (/ (sqrt (* (- re im) (fma im (* im im) (pow re 3)))) (sqrt (+ (* re re) (- (* im im) (* re im))))) (sqrt (* (- re im) (+ re im))))) * * * * [misc]progress: [ 34 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (- re im) (- (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * [exit]simplify: Simplified to (sqrt (* (+ im re) (* (- re im) (- re im)))) * [misc]simplify: Simplified (2 1 1) to (λ (re im) (* (/ (sqrt (* (+ im re) (* (- re im) (- re im)))) (sqrt (- re im))) (sqrt (* (- re im) (+ re im))))) * * * * [misc]progress: [ 35 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (- (pow re 3) (pow im 3)) (+ re im))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (sqrt (* (+ re im) (fma (* im im) (- im) (pow re 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (re im) (* (/ (sqrt (* (+ re im) (fma (* im im) (- im) (pow re 3)))) (sqrt (+ (* re re) (+ (* im im) (* re im))))) (sqrt (* (- re im) (+ re im))))) * * * * [misc]progress: [ 36 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (- (* re re) (* im im)) (+ re im))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ re im) (+ re im)) (- re im))) * [misc]simplify: Simplified (2 1 1) to (λ (re im) (* (/ (sqrt (* (* (+ re im) (+ re im)) (- re im))) (sqrt (+ re im))) (sqrt (* (- re im) (+ re im))))) * * * * [misc]progress: [ 37 / 187 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 187 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 187 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 187 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- re im) (+ re im)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (* (- re im) (+ im re)) * [misc]simplify: Simplified (2 1) to (λ (re im) (pow (* (- re im) (+ im re)) (+ 1/2 1/2))) * [enter]simplify: Simplifying (+ 1/2 1/2) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (+ 1/2 1/2) * [misc]simplify: Simplified (2 2) to (λ (re im) (pow (* (- re im) (+ re im)) (+ 1/2 1/2))) * * * * [misc]progress: [ 42 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (- re im) (+ re im))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (sqrt (* (- re im) (+ im re))) * [misc]simplify: Simplified (2 1) to (λ (re im) (pow (sqrt (* (- re im) (+ im re))) (+ 1 1))) * [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) * [misc]simplify: Simplified (2 2) to (λ (re im) (pow (sqrt (* (- re im) (+ re im))) (+ 1 1))) * * * * [misc]progress: [ 43 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- re im) (+ re im)) (* (- re im) (+ re im))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (435 enodes) * [exit]simplify: Simplified to (* (* (- re im) (+ im re)) (* (- re im) (+ im re))) * [misc]simplify: Simplified (2 1) to (λ (re im) (pow (* (* (- re im) (+ im re)) (* (- re im) (+ im re))) 1/2)) * * * * [misc]progress: [ 44 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- re im) (+ re im))) (sqrt (* (- re im) (+ re im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (279 enodes) * [exit]simplify: Simplified to (* (- re im) (+ im re)) * [misc]simplify: Simplified (2 1) to (λ (re im) (pow (* (- re im) (+ im re)) 1)) * * * * [misc]progress: [ 45 / 187 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (- re im) (+ re im))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (sqrt (* (- re im) (+ im re))) * [misc]simplify: Simplified (2 1) to (λ (re im) (pow (sqrt (* (- re im) (+ im re))) (+ 1 1))) * * * * [misc]progress: [ 47 / 187 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (* (- re im) (+ re im)))) (log (sqrt (* (- re im) (+ re im))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (279 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (* (- re im) (+ im re)))) (log (sqrt (* (- re im) (+ im re))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (exp (+ (log (sqrt (* (- re im) (+ im re)))) (log (sqrt (* (- re im) (+ im re))))))) * * * * [misc]progress: [ 49 / 187 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 187 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (* (- re im) (+ re im))) (sqrt (* (- re im) (+ re im)))) (sqrt (* (- re im) (+ re im)))) (* (* (sqrt (* (- re im) (+ re im))) (sqrt (* (- re im) (+ re im)))) (sqrt (* (- re im) (+ re im))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (464 enodes) * [exit]simplify: Simplified to (pow (* (- re im) (+ im re)) 3) * [misc]simplify: Simplified (2 1) to (λ (re im) (cbrt (pow (* (- re im) (+ im re)) 3))) * * * * [misc]progress: [ 52 / 187 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 187 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- re im) (+ re im)) (* (- re im) (+ re im))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (435 enodes) * [exit]simplify: Simplified to (* (* (- re im) (+ im re)) (* (- re im) (+ im re))) * [misc]simplify: Simplified (2 1) to (λ (re im) (sqrt (* (* (- re im) (+ im re)) (* (- re im) (+ im re))))) * * * * [misc]progress: [ 55 / 187 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (- re im) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- re im) * [misc]simplify: Simplified (2 1) to (λ (re im) (* (- re im) (+ re im))) * [enter]simplify: Simplifying (+ re im) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ im re) * [misc]simplify: Simplified (2 2) to (λ (re im) (* (- re im) (+ im re))) * * * * [misc]progress: [ 57 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (pow re 3) (pow im 3)) (+ (pow re 3) (pow im 3)))) (sqrt (* (- (pow re 3) (pow im 3)) (+ (pow re 3) (pow im 3))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (245 enodes) * [exit]simplify: Simplified to (* (fma re (* re re) (pow im 3)) (fma (- im) (* im im) (pow re 3))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (fma re (* re re) (pow im 3)) (fma (- im) (* im im) (pow re 3))) (* (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (+ (* re re) (- (* im im) (* re im))))) (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (+ (* re re) (- (* im im) (* re im)))))))) * [enter]simplify: Simplifying (* (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (+ (* re re) (- (* im im) (* re im))))) (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (+ (* re re) (- (* im im) (* re im)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * [exit]simplify: Simplified to (* (fma im (- im re) (* re re)) (fma (+ re im) im (* re re))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (fma re (* re re) (pow im 3)) (fma (- im) (* im im) (pow re 3))) (* (fma im (- im re) (* re re)) (fma (+ re im) im (* re re))))) * * * * [misc]progress: [ 58 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (pow re 3) (pow im 3)) (+ (pow re 3) (pow im 3)))) (sqrt (* (- (pow re 3) (pow im 3)) (- (* re re) (* im im))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (383 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (+ re im) (- re im)) (fma (* im im) (- im) (pow re 3)))) (sqrt (* (fma re (* re re) (pow im 3)) (fma (* im im) (- im) (pow re 3))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (* (+ re im) (- re im)) (fma (* im im) (- im) (pow re 3)))) (sqrt (* (fma re (* re re) (pow im 3)) (fma (* im im) (- im) (pow re 3))))) (* (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (+ (* re re) (- (* im im) (* re im))))) (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (- re im)))))) * [enter]simplify: Simplifying (* (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (+ (* re re) (- (* im im) (* re im))))) (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (- re im)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * [exit]simplify: Simplified to (* (sqrt (* (- re im) (fma (+ re im) im (* re re)))) (sqrt (* (fma im (- im re) (* re re)) (fma (+ re im) im (* re re))))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- (pow re 3) (pow im 3)) (+ (pow re 3) (pow im 3)))) (sqrt (* (- (pow re 3) (pow im 3)) (- (* re re) (* im im))))) (* (sqrt (* (- re im) (fma (+ re im) im (* re re)))) (sqrt (* (fma im (- im re) (* re re)) (fma (+ re im) im (* re re))))))) * * * * [misc]progress: [ 59 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (pow re 3) (pow im 3)) (+ (pow re 3) (pow im 3)))) (sqrt (* (- (* re re) (* im im)) (+ (pow re 3) (pow im 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (+ re im) (- re im)) (fma re (* re re) (pow im 3)))) (sqrt (* (fma re (* re re) (pow im 3)) (fma (- im) (* im im) (pow re 3))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (* (+ re im) (- re im)) (fma re (* re re) (pow im 3)))) (sqrt (* (fma re (* re re) (pow im 3)) (fma (- im) (* im im) (pow re 3))))) (* (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (+ (* re re) (- (* im im) (* re im))))) (sqrt (* (+ re im) (+ (* re re) (- (* im im) (* re im)))))))) * [enter]simplify: Simplifying (* (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (+ (* re re) (- (* im im) (* re im))))) (sqrt (* (+ re im) (+ (* re re) (- (* im im) (* re im)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma im (- im re) (* re re)) (+ re im))) (sqrt (* (fma im (- im re) (* re re)) (fma im (+ re im) (* re re))))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- (pow re 3) (pow im 3)) (+ (pow re 3) (pow im 3)))) (sqrt (* (- (* re re) (* im im)) (+ (pow re 3) (pow im 3))))) (* (sqrt (* (fma im (- im re) (* re re)) (+ re im))) (sqrt (* (fma im (- im re) (* re re)) (fma im (+ re im) (* re re))))))) * * * * [misc]progress: [ 60 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (pow re 3) (pow im 3)) (+ (pow re 3) (pow im 3)))) (sqrt (* (- (* re re) (* im im)) (- (* re re) (* im im))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (353 enodes) * [exit]simplify: Simplified to (* (fabs (* (- re im) (+ re im))) (sqrt (* (fma re (* re re) (pow im 3)) (fma (* im im) (- im) (pow re 3))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (fabs (* (- re im) (+ re im))) (sqrt (* (fma re (* re re) (pow im 3)) (fma (* im im) (- im) (pow re 3))))) (* (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (+ (* re re) (- (* im im) (* re im))))) (sqrt (* (+ re im) (- re im)))))) * [enter]simplify: Simplifying (* (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (+ (* re re) (- (* im im) (* re im))))) (sqrt (* (+ re im) (- re im)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma im (- im re) (* re re)) (fma im (+ re im) (* re re)))) (sqrt (* (+ re im) (- re im)))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (fabs (* (- re im) (+ re im))) (sqrt (* (fma re (* re re) (pow im 3)) (fma (* im im) (- im) (pow re 3))))) (* (sqrt (* (fma im (- im re) (* re re)) (fma im (+ re im) (* re re)))) (sqrt (* (+ re im) (- re im)))))) * * * * [misc]progress: [ 61 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (pow re 3) (pow im 3)) (+ (pow re 3) (pow im 3)))) (sqrt (* (- re im) (+ (pow re 3) (pow im 3))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (379 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma re (* re re) (pow im 3)) (fma (- im) (* im im) (pow re 3)))) (sqrt (* (fma re (* re re) (pow im 3)) (- re im)))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (fma re (* re re) (pow im 3)) (fma (- im) (* im im) (pow re 3)))) (sqrt (* (fma re (* re re) (pow im 3)) (- re im)))) (* (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (+ (* re re) (- (* im im) (* re im))))) (sqrt (+ (* re re) (- (* im im) (* re im))))))) * [enter]simplify: Simplifying (* (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (+ (* re re) (- (* im im) (* re im))))) (sqrt (+ (* re re) (- (* im im) (* re im))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (- im re) im (* re re))) (sqrt (* (fma (- im re) im (* re re)) (fma im (+ re im) (* re re))))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- (pow re 3) (pow im 3)) (+ (pow re 3) (pow im 3)))) (sqrt (* (- re im) (+ (pow re 3) (pow im 3))))) (* (sqrt (fma (- im re) im (* re re))) (sqrt (* (fma (- im re) im (* re re)) (fma im (+ re im) (* re re))))))) * * * * [misc]progress: [ 62 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (pow re 3) (pow im 3)) (+ (pow re 3) (pow im 3)))) (sqrt (* (- re im) (- (* re re) (* im im))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (401 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- re im) (- re im)) (+ re im))) (sqrt (* (fma re (* re re) (pow im 3)) (fma (- im) (* im im) (pow re 3))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (* (- re im) (- re im)) (+ re im))) (sqrt (* (fma re (* re re) (pow im 3)) (fma (- im) (* im im) (pow re 3))))) (* (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (+ (* re re) (- (* im im) (* re im))))) (sqrt (- re im))))) * [enter]simplify: Simplifying (* (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (+ (* re re) (- (* im im) (* re im))))) (sqrt (- re im))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * [exit]simplify: Simplified to (* (sqrt (- re im)) (sqrt (* (fma im (- im re) (* re re)) (fma im (+ re im) (* re re))))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- (pow re 3) (pow im 3)) (+ (pow re 3) (pow im 3)))) (sqrt (* (- re im) (- (* re re) (* im im))))) (* (sqrt (- re im)) (sqrt (* (fma im (- im re) (* re re)) (fma im (+ re im) (* re re))))))) * * * * [misc]progress: [ 63 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (pow re 3) (pow im 3)) (+ (pow re 3) (pow im 3)))) (sqrt (* (- (pow re 3) (pow im 3)) (+ re im)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (378 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma re (* re re) (pow im 3)) (fma (- im) (* im im) (pow re 3)))) (sqrt (* (+ re im) (fma (- im) (* im im) (pow re 3))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (fma re (* re re) (pow im 3)) (fma (- im) (* im im) (pow re 3)))) (sqrt (* (+ re im) (fma (- im) (* im im) (pow re 3))))) (* (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (+ (* re re) (- (* im im) (* re im))))) (sqrt (+ (* re re) (+ (* im im) (* re im))))))) * [enter]simplify: Simplifying (* (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (+ (* re re) (- (* im im) (* re im))))) (sqrt (+ (* re re) (+ (* im im) (* re im))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * [exit]simplify: Simplified to (* (sqrt (fma im (+ re im) (* re re))) (sqrt (* (fma (- im re) im (* re re)) (fma im (+ re im) (* re re))))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- (pow re 3) (pow im 3)) (+ (pow re 3) (pow im 3)))) (sqrt (* (- (pow re 3) (pow im 3)) (+ re im)))) (* (sqrt (fma im (+ re im) (* re re))) (sqrt (* (fma (- im re) im (* re re)) (fma im (+ re im) (* re re))))))) * * * * [misc]progress: [ 64 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (pow re 3) (pow im 3)) (+ (pow re 3) (pow im 3)))) (sqrt (* (- (* re re) (* im im)) (+ re im)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (411 enodes) * [exit]simplify: Simplified to (* (sqrt (* (- re im) (* (+ re im) (+ re im)))) (sqrt (* (fma re (* re re) (pow im 3)) (fma (- im) (* im im) (pow re 3))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (- re im) (* (+ re im) (+ re im)))) (sqrt (* (fma re (* re re) (pow im 3)) (fma (- im) (* im im) (pow re 3))))) (* (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (+ (* re re) (- (* im im) (* re im))))) (sqrt (+ re im))))) * [enter]simplify: Simplifying (* (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (+ (* re re) (- (* im im) (* re im))))) (sqrt (+ re im))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * [exit]simplify: Simplified to (* (sqrt (+ re im)) (sqrt (* (fma im (- im re) (* re re)) (fma im (+ re im) (* re re))))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- (pow re 3) (pow im 3)) (+ (pow re 3) (pow im 3)))) (sqrt (* (- (* re re) (* im im)) (+ re im)))) (* (sqrt (+ re im)) (sqrt (* (fma im (- im re) (* re re)) (fma im (+ re im) (* re re))))))) * * * * [misc]progress: [ 65 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (pow re 3) (pow im 3)) (- (* re re) (* im im)))) (sqrt (* (- (pow re 3) (pow im 3)) (+ (pow re 3) (pow im 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (382 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma im (* im im) (pow re 3)) (fma (- im) (* im im) (pow re 3)))) (sqrt (* (* (+ re im) (- re im)) (fma (- im) (* im im) (pow re 3))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (fma im (* im im) (pow re 3)) (fma (- im) (* im im) (pow re 3)))) (sqrt (* (* (+ re im) (- re im)) (fma (- im) (* im im) (pow re 3))))) (* (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (- re im))) (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (+ (* re re) (- (* im im) (* re im)))))))) * [enter]simplify: Simplifying (* (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (- re im))) (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (+ (* re re) (- (* im im) (* re im)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma im (- im re) (* re re)) (fma (+ re im) im (* re re)))) (sqrt (* (- re im) (fma (+ re im) im (* re re))))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- (pow re 3) (pow im 3)) (- (* re re) (* im im)))) (sqrt (* (- (pow re 3) (pow im 3)) (+ (pow re 3) (pow im 3))))) (* (sqrt (* (fma im (- im re) (* re re)) (fma (+ re im) im (* re re)))) (sqrt (* (- re im) (fma (+ re im) im (* re re))))))) * * * * [misc]progress: [ 66 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (pow re 3) (pow im 3)) (- (* re re) (* im im)))) (sqrt (* (- (pow re 3) (pow im 3)) (- (* re re) (* im im))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * [exit]simplify: Simplified to (* (- (* re re) (* im im)) (fma (- im) (* im im) (pow re 3))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (- (* re re) (* im im)) (fma (- im) (* im im) (pow re 3))) (* (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (- re im))) (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (- re im)))))) * [enter]simplify: Simplifying (* (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (- re im))) (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (- re im)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * [exit]simplify: Simplified to (* (- re im) (fma (+ re im) im (* re re))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (- (* re re) (* im im)) (fma (- im) (* im im) (pow re 3))) (* (- re im) (fma (+ re im) im (* re re))))) * * * * [misc]progress: [ 67 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (pow re 3) (pow im 3)) (- (* re re) (* im im)))) (sqrt (* (- (* re re) (* im im)) (+ (pow re 3) (pow im 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (462 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (+ re im) (- re im)) (fma im (* im im) (pow re 3)))) (sqrt (* (* (+ re im) (- re im)) (fma (- im) (* im im) (pow re 3))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (* (+ re im) (- re im)) (fma im (* im im) (pow re 3)))) (sqrt (* (* (+ re im) (- re im)) (fma (- im) (* im im) (pow re 3))))) (* (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (- re im))) (sqrt (* (+ re im) (+ (* re re) (- (* im im) (* re im)))))))) * [enter]simplify: Simplifying (* (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (- re im))) (sqrt (* (+ re im) (+ (* re re) (- (* im im) (* re im)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * * [misc]simplify: iters left: 3 (407 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma im (- im re) (* re re)) (+ re im))) (sqrt (* (- re im) (fma im (+ re im) (* re re))))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- (pow re 3) (pow im 3)) (- (* re re) (* im im)))) (sqrt (* (- (* re re) (* im im)) (+ (pow re 3) (pow im 3))))) (* (sqrt (* (fma im (- im re) (* re re)) (+ re im))) (sqrt (* (- re im) (fma im (+ re im) (* re re))))))) * * * * [misc]progress: [ 68 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (pow re 3) (pow im 3)) (- (* re re) (* im im)))) (sqrt (* (- (* re re) (* im im)) (- (* re re) (* im im))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (258 enodes) * [exit]simplify: Simplified to (* (fabs (* (+ re im) (- re im))) (sqrt (* (* (+ re im) (- re im)) (fma (* im im) (- im) (pow re 3))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (fabs (* (+ re im) (- re im))) (sqrt (* (* (+ re im) (- re im)) (fma (* im im) (- im) (pow re 3))))) (* (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (- re im))) (sqrt (* (+ re im) (- re im)))))) * [enter]simplify: Simplifying (* (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (- re im))) (sqrt (* (+ re im) (- re im)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * [exit]simplify: Simplified to (* (sqrt (* (- re im) (fma im (+ re im) (* re re)))) (sqrt (* (+ re im) (- re im)))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (fabs (* (+ re im) (- re im))) (sqrt (* (* (+ re im) (- re im)) (fma (* im im) (- im) (pow re 3))))) (* (sqrt (* (- re im) (fma im (+ re im) (* re re)))) (sqrt (* (+ re im) (- re im)))))) * * * * [misc]progress: [ 69 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (pow re 3) (pow im 3)) (- (* re re) (* im im)))) (sqrt (* (- re im) (+ (pow re 3) (pow im 3))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (392 enodes) * [exit]simplify: Simplified to (* (sqrt (* (- (* re re) (* im im)) (fma (* im im) (- im) (pow re 3)))) (sqrt (* (- re im) (fma im (* im im) (pow re 3))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (- (* re re) (* im im)) (fma (* im im) (- im) (pow re 3)))) (sqrt (* (- re im) (fma im (* im im) (pow re 3))))) (* (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (- re im))) (sqrt (+ (* re re) (- (* im im) (* re im))))))) * [enter]simplify: Simplifying (* (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (- re im))) (sqrt (+ (* re re) (- (* im im) (* re im))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (* (sqrt (* (- re im) (fma (+ re im) im (* re re)))) (sqrt (fma re (- re im) (* im im)))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- (pow re 3) (pow im 3)) (- (* re re) (* im im)))) (sqrt (* (- re im) (+ (pow re 3) (pow im 3))))) (* (sqrt (* (- re im) (fma (+ re im) im (* re re)))) (sqrt (fma re (- re im) (* im im)))))) * * * * [misc]progress: [ 70 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (pow re 3) (pow im 3)) (- (* re re) (* im im)))) (sqrt (* (- re im) (- (* re re) (* im im))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- re im) (- re im)) (+ re im))) (sqrt (* (- (* re re) (* im im)) (fma (- im) (* im im) (pow re 3))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (* (- re im) (- re im)) (+ re im))) (sqrt (* (- (* re re) (* im im)) (fma (- im) (* im im) (pow re 3))))) (* (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (- re im))) (sqrt (- re im))))) * [enter]simplify: Simplifying (* (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (- re im))) (sqrt (- re im))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * [exit]simplify: Simplified to (* (sqrt (- re im)) (sqrt (* (- re im) (fma im (+ re im) (* re re))))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- (pow re 3) (pow im 3)) (- (* re re) (* im im)))) (sqrt (* (- re im) (- (* re re) (* im im))))) (* (sqrt (- re im)) (sqrt (* (- re im) (fma im (+ re im) (* re re))))))) * * * * [misc]progress: [ 71 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (pow re 3) (pow im 3)) (- (* re re) (* im im)))) (sqrt (* (- (pow re 3) (pow im 3)) (+ re im)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (305 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ re im) (fma (* im im) (- im) (pow re 3)))) (sqrt (* (- (* re re) (* im im)) (fma (* im im) (- im) (pow re 3))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (+ re im) (fma (* im im) (- im) (pow re 3)))) (sqrt (* (- (* re re) (* im im)) (fma (* im im) (- im) (pow re 3))))) (* (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (- re im))) (sqrt (+ (* re re) (+ (* im im) (* re im))))))) * [enter]simplify: Simplifying (* (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (- re im))) (sqrt (+ (* re re) (+ (* im im) (* re im))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * [exit]simplify: Simplified to (* (sqrt (fma im (+ re im) (* re re))) (sqrt (* (- re im) (fma im (+ re im) (* re re))))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- (pow re 3) (pow im 3)) (- (* re re) (* im im)))) (sqrt (* (- (pow re 3) (pow im 3)) (+ re im)))) (* (sqrt (fma im (+ re im) (* re re))) (sqrt (* (- re im) (fma im (+ re im) (* re re))))))) * * * * [misc]progress: [ 72 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (pow re 3) (pow im 3)) (- (* re re) (* im im)))) (sqrt (* (- (* re re) (* im im)) (+ re im)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (320 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (+ re im) (+ re im)) (- re im))) (sqrt (* (- (* re re) (* im im)) (fma (* im im) (- im) (pow re 3))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (* (+ re im) (+ re im)) (- re im))) (sqrt (* (- (* re re) (* im im)) (fma (* im im) (- im) (pow re 3))))) (* (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (- re im))) (sqrt (+ re im))))) * [enter]simplify: Simplifying (* (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (- re im))) (sqrt (+ re im))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * [exit]simplify: Simplified to (* (sqrt (+ re im)) (sqrt (* (- re im) (fma im (+ re im) (* re re))))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- (pow re 3) (pow im 3)) (- (* re re) (* im im)))) (sqrt (* (- (* re re) (* im im)) (+ re im)))) (* (sqrt (+ re im)) (sqrt (* (- re im) (fma im (+ re im) (* re re))))))) * * * * [misc]progress: [ 73 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (* re re) (* im im)) (+ (pow re 3) (pow im 3)))) (sqrt (* (- (pow re 3) (pow im 3)) (+ (pow re 3) (pow im 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma im (* im im) (pow re 3)) (fma (- im) (* im im) (pow re 3)))) (sqrt (* (fma im (* im im) (pow re 3)) (* (+ re im) (- re im))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (fma im (* im im) (pow re 3)) (fma (- im) (* im im) (pow re 3)))) (sqrt (* (fma im (* im im) (pow re 3)) (* (+ re im) (- re im))))) (* (sqrt (* (+ re im) (+ (* re re) (- (* im im) (* re im))))) (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (+ (* re re) (- (* im im) (* re im)))))))) * [enter]simplify: Simplifying (* (sqrt (* (+ re im) (+ (* re re) (- (* im im) (* re im))))) (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (+ (* re re) (- (* im im) (* re im)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma im (- im re) (* re re)) (fma im (+ im re) (* re re)))) (sqrt (* (fma im (- im re) (* re re)) (+ im re)))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- (* re re) (* im im)) (+ (pow re 3) (pow im 3)))) (sqrt (* (- (pow re 3) (pow im 3)) (+ (pow re 3) (pow im 3))))) (* (sqrt (* (fma im (- im re) (* re re)) (fma im (+ im re) (* re re)))) (sqrt (* (fma im (- im re) (* re re)) (+ im re)))))) * * * * [misc]progress: [ 74 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (* re re) (* im im)) (+ (pow re 3) (pow im 3)))) (sqrt (* (- (pow re 3) (pow im 3)) (- (* re re) (* im im))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (461 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma (- im) (* im im) (pow re 3)) (* (+ re im) (- re im)))) (sqrt (* (fma im (* im im) (pow re 3)) (* (+ re im) (- re im))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (fma (- im) (* im im) (pow re 3)) (* (+ re im) (- re im)))) (sqrt (* (fma im (* im im) (pow re 3)) (* (+ re im) (- re im))))) (* (sqrt (* (+ re im) (+ (* re re) (- (* im im) (* re im))))) (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (- re im)))))) * [enter]simplify: Simplifying (* (sqrt (* (+ re im) (+ (* re re) (- (* im im) (* re im))))) (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (- re im)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (411 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma im (+ im re) (* re re)) (- re im))) (sqrt (* (fma im (- im re) (* re re)) (+ im re)))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- (* re re) (* im im)) (+ (pow re 3) (pow im 3)))) (sqrt (* (- (pow re 3) (pow im 3)) (- (* re re) (* im im))))) (* (sqrt (* (fma im (+ im re) (* re re)) (- re im))) (sqrt (* (fma im (- im re) (* re re)) (+ im re)))))) * * * * [misc]progress: [ 75 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (* re re) (* im im)) (+ (pow re 3) (pow im 3)))) (sqrt (* (- (* re re) (* im im)) (+ (pow re 3) (pow im 3))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (338 enodes) * [exit]simplify: Simplified to (* (fma im (* im im) (pow re 3)) (* (- re im) (+ re im))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (fma im (* im im) (pow re 3)) (* (- re im) (+ re im))) (* (sqrt (* (+ re im) (+ (* re re) (- (* im im) (* re im))))) (sqrt (* (+ re im) (+ (* re re) (- (* im im) (* re im)))))))) * [enter]simplify: Simplifying (* (sqrt (* (+ re im) (+ (* re re) (- (* im im) (* re im))))) (sqrt (* (+ re im) (+ (* re re) (- (* im im) (* re im)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (272 enodes) * [exit]simplify: Simplified to (* (fma (- im re) im (* re re)) (+ im re)) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (fma im (* im im) (pow re 3)) (* (- re im) (+ re im))) (* (fma (- im re) im (* re re)) (+ im re)))) * * * * [misc]progress: [ 76 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (* re re) (* im im)) (+ (pow re 3) (pow im 3)))) (sqrt (* (- (* re re) (* im im)) (- (* re re) (* im im))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (395 enodes) * [exit]simplify: Simplified to (* (fabs (* (+ re im) (- re im))) (sqrt (* (fma im (* im im) (pow re 3)) (* (+ re im) (- re im))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (fabs (* (+ re im) (- re im))) (sqrt (* (fma im (* im im) (pow re 3)) (* (+ re im) (- re im))))) (* (sqrt (* (+ re im) (+ (* re re) (- (* im im) (* re im))))) (sqrt (* (+ re im) (- re im)))))) * [enter]simplify: Simplifying (* (sqrt (* (+ re im) (+ (* re re) (- (* im im) (* re im))))) (sqrt (* (+ re im) (- re im)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (305 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma (- im re) im (* re re)) (+ im re))) (sqrt (* (+ im re) (- re im)))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (fabs (* (+ re im) (- re im))) (sqrt (* (fma im (* im im) (pow re 3)) (* (+ re im) (- re im))))) (* (sqrt (* (fma (- im re) im (* re re)) (+ im re))) (sqrt (* (+ im re) (- re im)))))) * * * * [misc]progress: [ 77 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (* re re) (* im im)) (+ (pow re 3) (pow im 3)))) (sqrt (* (- re im) (+ (pow re 3) (pow im 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma im (* im im) (pow re 3)) (- re im))) (sqrt (* (fma im (* im im) (pow re 3)) (* (- re im) (+ re im))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (fma im (* im im) (pow re 3)) (- re im))) (sqrt (* (fma im (* im im) (pow re 3)) (* (- re im) (+ re im))))) (* (sqrt (* (+ re im) (+ (* re re) (- (* im im) (* re im))))) (sqrt (+ (* re re) (- (* im im) (* re im))))))) * [enter]simplify: Simplifying (* (sqrt (* (+ re im) (+ (* re re) (- (* im im) (* re im))))) (sqrt (+ (* re re) (- (* im im) (* re im))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (273 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (- im re) im (* re re))) (sqrt (* (fma (- im re) im (* re re)) (+ im re)))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- (* re re) (* im im)) (+ (pow re 3) (pow im 3)))) (sqrt (* (- re im) (+ (pow re 3) (pow im 3))))) (* (sqrt (fma (- im re) im (* re re))) (sqrt (* (fma (- im re) im (* re re)) (+ im re)))))) * * * * [misc]progress: [ 78 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (* re re) (* im im)) (+ (pow re 3) (pow im 3)))) (sqrt (* (- re im) (- (* re re) (* im im))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * [exit]simplify: Simplified to (* (sqrt (* (- re im) (* (- re im) (+ re im)))) (sqrt (* (fma im (* im im) (pow re 3)) (* (- re im) (+ re im))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (- re im) (* (- re im) (+ re im)))) (sqrt (* (fma im (* im im) (pow re 3)) (* (- re im) (+ re im))))) (* (sqrt (* (+ re im) (+ (* re re) (- (* im im) (* re im))))) (sqrt (- re im))))) * [enter]simplify: Simplifying (* (sqrt (* (+ re im) (+ (* re re) (- (* im im) (* re im))))) (sqrt (- re im))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * [exit]simplify: Simplified to (* (sqrt (- re im)) (sqrt (* (fma re (- re im) (* im im)) (+ im re)))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- (* re re) (* im im)) (+ (pow re 3) (pow im 3)))) (sqrt (* (- re im) (- (* re re) (* im im))))) (* (sqrt (- re im)) (sqrt (* (fma re (- re im) (* im im)) (+ im re)))))) * * * * [misc]progress: [ 79 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (* re re) (* im im)) (+ (pow re 3) (pow im 3)))) (sqrt (* (- (pow re 3) (pow im 3)) (+ re im)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (449 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma im (* im im) (pow re 3)) (- (* re re) (* im im)))) (sqrt (* (fma (* im im) (- im) (pow re 3)) (+ re im)))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (fma im (* im im) (pow re 3)) (- (* re re) (* im im)))) (sqrt (* (fma (* im im) (- im) (pow re 3)) (+ re im)))) (* (sqrt (* (+ re im) (+ (* re re) (- (* im im) (* re im))))) (sqrt (+ (* re re) (+ (* im im) (* re im))))))) * [enter]simplify: Simplifying (* (sqrt (* (+ re im) (+ (* re re) (- (* im im) (* re im))))) (sqrt (+ (* re re) (+ (* im im) (* re im))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (292 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma im (- im re) (* re re)) (+ im re))) (sqrt (fma im (+ im re) (* re re)))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- (* re re) (* im im)) (+ (pow re 3) (pow im 3)))) (sqrt (* (- (pow re 3) (pow im 3)) (+ re im)))) (* (sqrt (* (fma im (- im re) (* re re)) (+ im re))) (sqrt (fma im (+ im re) (* re re)))))) * * * * [misc]progress: [ 80 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (* re re) (* im im)) (+ (pow re 3) (pow im 3)))) (sqrt (* (- (* re re) (* im im)) (+ re im)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (459 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ re im) (* (+ re im) (- re im)))) (sqrt (* (fma im (* im im) (pow re 3)) (* (+ re im) (- re im))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (+ re im) (* (+ re im) (- re im)))) (sqrt (* (fma im (* im im) (pow re 3)) (* (+ re im) (- re im))))) (* (sqrt (* (+ re im) (+ (* re re) (- (* im im) (* re im))))) (sqrt (+ re im))))) * [enter]simplify: Simplifying (* (sqrt (* (+ re im) (+ (* re re) (- (* im im) (* re im))))) (sqrt (+ re im))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (273 enodes) * [exit]simplify: Simplified to (* (sqrt (+ im re)) (sqrt (* (fma (- im re) im (* re re)) (+ im re)))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- (* re re) (* im im)) (+ (pow re 3) (pow im 3)))) (sqrt (* (- (* re re) (* im im)) (+ re im)))) (* (sqrt (+ im re)) (sqrt (* (fma (- im re) im (* re re)) (+ im re)))))) * * * * [misc]progress: [ 81 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (* re re) (* im im)) (- (* re re) (* im im)))) (sqrt (* (- (pow re 3) (pow im 3)) (+ (pow re 3) (pow im 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (355 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma im (* im im) (pow re 3)) (fma (- im) (* im im) (pow re 3)))) (fabs (* (- re im) (+ re im)))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (fma im (* im im) (pow re 3)) (fma (- im) (* im im) (pow re 3)))) (fabs (* (- re im) (+ re im)))) (* (sqrt (* (+ re im) (- re im))) (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (+ (* re re) (- (* im im) (* re im)))))))) * [enter]simplify: Simplifying (* (sqrt (* (+ re im) (- re im))) (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (+ (* re re) (- (* im im) (* re im)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ im re) (- re im))) (sqrt (* (fma (- im re) im (* re re)) (fma im (+ im re) (* re re))))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (fma im (* im im) (pow re 3)) (fma (- im) (* im im) (pow re 3)))) (fabs (* (- re im) (+ re im)))) (* (sqrt (* (+ im re) (- re im))) (sqrt (* (fma (- im re) im (* re re)) (fma im (+ im re) (* re re))))))) * * * * [misc]progress: [ 82 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (* re re) (* im im)) (- (* re re) (* im im)))) (sqrt (* (- (pow re 3) (pow im 3)) (- (* re re) (* im im))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (259 enodes) * [exit]simplify: Simplified to (* (fabs (* (+ re im) (- re im))) (sqrt (* (fma (* im im) (- im) (pow re 3)) (* (+ re im) (- re im))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (fabs (* (+ re im) (- re im))) (sqrt (* (fma (* im im) (- im) (pow re 3)) (* (+ re im) (- re im))))) (* (sqrt (* (+ re im) (- re im))) (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (- re im)))))) * [enter]simplify: Simplifying (* (sqrt (* (+ re im) (- re im))) (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (- re im)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma im (+ im re) (* re re)) (- re im))) (sqrt (* (+ im re) (- re im)))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (fabs (* (+ re im) (- re im))) (sqrt (* (fma (* im im) (- im) (pow re 3)) (* (+ re im) (- re im))))) (* (sqrt (* (fma im (+ im re) (* re re)) (- re im))) (sqrt (* (+ im re) (- re im)))))) * * * * [misc]progress: [ 83 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (* re re) (* im im)) (- (* re re) (* im im)))) (sqrt (* (- (* re re) (* im im)) (+ (pow re 3) (pow im 3))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (397 enodes) * [exit]simplify: Simplified to (* (fabs (* (+ re im) (- re im))) (sqrt (* (fma im (* im im) (pow re 3)) (* (+ re im) (- re im))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (fabs (* (+ re im) (- re im))) (sqrt (* (fma im (* im im) (pow re 3)) (* (+ re im) (- re im))))) (* (sqrt (* (+ re im) (- re im))) (sqrt (* (+ re im) (+ (* re re) (- (* im im) (* re im)))))))) * [enter]simplify: Simplifying (* (sqrt (* (+ re im) (- re im))) (sqrt (* (+ re im) (+ (* re re) (- (* im im) (* re im)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (305 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ im re) (fma re (- re im) (* im im)))) (sqrt (* (+ im re) (- re im)))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (fabs (* (+ re im) (- re im))) (sqrt (* (fma im (* im im) (pow re 3)) (* (+ re im) (- re im))))) (* (sqrt (* (+ im re) (fma re (- re im) (* im im)))) (sqrt (* (+ im re) (- re im)))))) * * * * [misc]progress: [ 84 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (* re re) (* im im)) (- (* re re) (* im im)))) (sqrt (* (- (* re re) (* im im)) (- (* re re) (* im im))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * [exit]simplify: Simplified to (* (* (+ re im) (- re im)) (* (+ re im) (- re im))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (* (+ re im) (- re im)) (* (+ re im) (- re im))) (* (sqrt (* (+ re im) (- re im))) (sqrt (* (+ re im) (- re im)))))) * [enter]simplify: Simplifying (* (sqrt (* (+ re im) (- re im))) (sqrt (* (+ re im) (- re im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (* (+ im re) (- re im)) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (* (+ re im) (- re im)) (* (+ re im) (- re im))) (* (+ im re) (- re im)))) * * * * [misc]progress: [ 85 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (* re re) (* im im)) (- (* re re) (* im im)))) (sqrt (* (- re im) (+ (pow re 3) (pow im 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (343 enodes) * [exit]simplify: Simplified to (* (sqrt (* (- re im) (fma im (* im im) (pow re 3)))) (fabs (* (+ re im) (- re im)))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (- re im) (fma im (* im im) (pow re 3)))) (fabs (* (+ re im) (- re im)))) (* (sqrt (* (+ re im) (- re im))) (sqrt (+ (* re re) (- (* im im) (* re im))))))) * [enter]simplify: Simplifying (* (sqrt (* (+ re im) (- re im))) (sqrt (+ (* re re) (- (* im im) (* re im))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (382 enodes) * [exit]simplify: Simplified to (* (sqrt (fma im (- im re) (* re re))) (sqrt (* (- re im) (+ im re)))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- re im) (fma im (* im im) (pow re 3)))) (fabs (* (+ re im) (- re im)))) (* (sqrt (fma im (- im re) (* re re))) (sqrt (* (- re im) (+ im re)))))) * * * * [misc]progress: [ 86 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (* re re) (* im im)) (- (* re re) (* im im)))) (sqrt (* (- re im) (- (* re re) (* im im))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (293 enodes) * [exit]simplify: Simplified to (* (fabs (* (- re im) (+ re im))) (sqrt (* (- re im) (* (- re im) (+ re im))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (fabs (* (- re im) (+ re im))) (sqrt (* (- re im) (* (- re im) (+ re im))))) (* (sqrt (* (+ re im) (- re im))) (sqrt (- re im))))) * [enter]simplify: Simplifying (* (sqrt (* (+ re im) (- re im))) (sqrt (- re im))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (253 enodes) * [exit]simplify: Simplified to (* (sqrt (- re im)) (sqrt (* (+ im re) (- re im)))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (fabs (* (- re im) (+ re im))) (sqrt (* (- re im) (* (- re im) (+ re im))))) (* (sqrt (- re im)) (sqrt (* (+ im re) (- re im)))))) * * * * [misc]progress: [ 87 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (* re re) (* im im)) (- (* re re) (* im im)))) (sqrt (* (- (pow re 3) (pow im 3)) (+ re im)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ re im) (fma (- im) (* im im) (pow re 3)))) (fabs (* (+ re im) (- re im)))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (+ re im) (fma (- im) (* im im) (pow re 3)))) (fabs (* (+ re im) (- re im)))) (* (sqrt (* (+ re im) (- re im))) (sqrt (+ (* re re) (+ (* im im) (* re im))))))) * [enter]simplify: Simplifying (* (sqrt (* (+ re im) (- re im))) (sqrt (+ (* re re) (+ (* im im) (* re im))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (* (sqrt (fma im (+ im re) (* re re))) (sqrt (* (+ im re) (- re im)))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (+ re im) (fma (- im) (* im im) (pow re 3)))) (fabs (* (+ re im) (- re im)))) (* (sqrt (fma im (+ im re) (* re re))) (sqrt (* (+ im re) (- re im)))))) * * * * [misc]progress: [ 88 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (* re re) (* im im)) (- (* re re) (* im im)))) (sqrt (* (- (* re re) (* im im)) (+ re im)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * [exit]simplify: Simplified to (* (fabs (* (+ re im) (- re im))) (sqrt (* (* (+ re im) (+ re im)) (- re im)))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (fabs (* (+ re im) (- re im))) (sqrt (* (* (+ re im) (+ re im)) (- re im)))) (* (sqrt (* (+ re im) (- re im))) (sqrt (+ re im))))) * [enter]simplify: Simplifying (* (sqrt (* (+ re im) (- re im))) (sqrt (+ re im))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (253 enodes) * [exit]simplify: Simplified to (* (sqrt (+ im re)) (sqrt (* (+ im re) (- re im)))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (fabs (* (+ re im) (- re im))) (sqrt (* (* (+ re im) (+ re im)) (- re im)))) (* (sqrt (+ im re)) (sqrt (* (+ im re) (- re im)))))) * * * * [misc]progress: [ 89 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- re im) (+ (pow re 3) (pow im 3)))) (sqrt (* (- (pow re 3) (pow im 3)) (+ (pow re 3) (pow im 3))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (378 enodes) * [exit]simplify: Simplified to (* (sqrt (* (- re im) (fma re (* re re) (pow im 3)))) (sqrt (* (fma re (* re re) (pow im 3)) (fma (* im im) (- im) (pow re 3))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (- re im) (fma re (* re re) (pow im 3)))) (sqrt (* (fma re (* re re) (pow im 3)) (fma (* im im) (- im) (pow re 3))))) (* (sqrt (+ (* re re) (- (* im im) (* re im)))) (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (+ (* re re) (- (* im im) (* re im)))))))) * [enter]simplify: Simplifying (* (sqrt (+ (* re re) (- (* im im) (* re im)))) (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (+ (* re re) (- (* im im) (* re im)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (- im re) im (* re re))) (sqrt (* (fma (- im re) im (* re re)) (fma im (+ re im) (* re re))))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- re im) (+ (pow re 3) (pow im 3)))) (sqrt (* (- (pow re 3) (pow im 3)) (+ (pow re 3) (pow im 3))))) (* (sqrt (fma (- im re) im (* re re))) (sqrt (* (fma (- im re) im (* re re)) (fma im (+ re im) (* re re))))))) * * * * [misc]progress: [ 90 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- re im) (+ (pow re 3) (pow im 3)))) (sqrt (* (- (pow re 3) (pow im 3)) (- (* re re) (* im im))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (394 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma (- im) (* im im) (pow re 3)) (- (* re re) (* im im)))) (sqrt (* (- re im) (fma (* re re) re (pow im 3))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (fma (- im) (* im im) (pow re 3)) (- (* re re) (* im im)))) (sqrt (* (- re im) (fma (* re re) re (pow im 3))))) (* (sqrt (+ (* re re) (- (* im im) (* re im)))) (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (- re im)))))) * [enter]simplify: Simplifying (* (sqrt (+ (* re re) (- (* im im) (* re im)))) (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (- re im)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (225 enodes) * [exit]simplify: Simplified to (* (sqrt (* (- re im) (fma (+ re im) im (* re re)))) (sqrt (fma re (- re im) (* im im)))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- re im) (+ (pow re 3) (pow im 3)))) (sqrt (* (- (pow re 3) (pow im 3)) (- (* re re) (* im im))))) (* (sqrt (* (- re im) (fma (+ re im) im (* re re)))) (sqrt (fma re (- re im) (* im im)))))) * * * * [misc]progress: [ 91 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- re im) (+ (pow re 3) (pow im 3)))) (sqrt (* (- (* re re) (* im im)) (+ (pow re 3) (pow im 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- re im) (+ im re)) (fma (* im im) im (pow re 3)))) (sqrt (* (- re im) (fma (* im im) im (pow re 3))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (* (- re im) (+ im re)) (fma (* im im) im (pow re 3)))) (sqrt (* (- re im) (fma (* im im) im (pow re 3))))) (* (sqrt (+ (* re re) (- (* im im) (* re im)))) (sqrt (* (+ re im) (+ (* re re) (- (* im im) (* re im)))))))) * [enter]simplify: Simplifying (* (sqrt (+ (* re re) (- (* im im) (* re im)))) (sqrt (* (+ re im) (+ (* re re) (- (* im im) (* re im)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (274 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ re im) (fma (- im re) im (* re re)))) (sqrt (fma (- im re) im (* re re)))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- re im) (+ (pow re 3) (pow im 3)))) (sqrt (* (- (* re re) (* im im)) (+ (pow re 3) (pow im 3))))) (* (sqrt (* (+ re im) (fma (- im re) im (* re re)))) (sqrt (fma (- im re) im (* re re)))))) * * * * [misc]progress: [ 92 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- re im) (+ (pow re 3) (pow im 3)))) (sqrt (* (- (* re re) (* im im)) (- (* re re) (* im im))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (344 enodes) * [exit]simplify: Simplified to (* (fabs (* (+ im re) (- re im))) (sqrt (* (- re im) (fma (* im im) im (pow re 3))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (fabs (* (+ im re) (- re im))) (sqrt (* (- re im) (fma (* im im) im (pow re 3))))) (* (sqrt (+ (* re re) (- (* im im) (* re im)))) (sqrt (* (+ re im) (- re im)))))) * [enter]simplify: Simplifying (* (sqrt (+ (* re re) (- (* im im) (* re im)))) (sqrt (* (+ re im) (- re im)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (376 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (- im re) im (* re re))) (sqrt (* (- re im) (+ re im)))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (fabs (* (+ im re) (- re im))) (sqrt (* (- re im) (fma (* im im) im (pow re 3))))) (* (sqrt (fma (- im re) im (* re re))) (sqrt (* (- re im) (+ re im)))))) * * * * [misc]progress: [ 93 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- re im) (+ (pow re 3) (pow im 3)))) (sqrt (* (- re im) (+ (pow re 3) (pow im 3))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (396 enodes) * [exit]simplify: Simplified to (* (- re im) (fma (* re re) re (pow im 3))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (- re im) (fma (* re re) re (pow im 3))) (* (sqrt (+ (* re re) (- (* im im) (* re im)))) (sqrt (+ (* re re) (- (* im im) (* re im))))))) * [enter]simplify: Simplifying (* (sqrt (+ (* re re) (- (* im im) (* re im)))) (sqrt (+ (* re re) (- (* im im) (* re im))))) * * [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 (64 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (fma (- re im) re (* im im)) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (- re im) (fma (* re re) re (pow im 3))) (fma (- re im) re (* im im)))) * * * * [misc]progress: [ 94 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- re im) (+ (pow re 3) (pow im 3)))) (sqrt (* (- re im) (- (* re re) (* im im))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (311 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ im re) (* (- re im) (- re im)))) (sqrt (* (- re im) (fma (* im im) im (pow re 3))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (+ im re) (* (- re im) (- re im)))) (sqrt (* (- re im) (fma (* im im) im (pow re 3))))) (* (sqrt (+ (* re re) (- (* im im) (* re im)))) (sqrt (- re im))))) * [enter]simplify: Simplifying (* (sqrt (+ (* re re) (- (* im im) (* re im)))) (sqrt (- re im))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (* (sqrt (- re im)) (sqrt (fma im (- im re) (* re re)))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- re im) (+ (pow re 3) (pow im 3)))) (sqrt (* (- re im) (- (* re re) (* im im))))) (* (sqrt (- re im)) (sqrt (fma im (- im re) (* re re)))))) * * * * [misc]progress: [ 95 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- re im) (+ (pow re 3) (pow im 3)))) (sqrt (* (- (pow re 3) (pow im 3)) (+ re im)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (292 enodes) * [exit]simplify: Simplified to (* (sqrt (* (- re im) (fma (* im im) im (pow re 3)))) (sqrt (* (+ im re) (fma (- im) (* im im) (pow re 3))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (- re im) (fma (* im im) im (pow re 3)))) (sqrt (* (+ im re) (fma (- im) (* im im) (pow re 3))))) (* (sqrt (+ (* re re) (- (* im im) (* re im)))) (sqrt (+ (* re re) (+ (* im im) (* re im))))))) * [enter]simplify: Simplifying (* (sqrt (+ (* re re) (- (* im im) (* re im)))) (sqrt (+ (* re re) (+ (* im im) (* re im))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to (* (sqrt (fma im (+ re im) (* re re))) (sqrt (fma im (- im re) (* re re)))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- re im) (+ (pow re 3) (pow im 3)))) (sqrt (* (- (pow re 3) (pow im 3)) (+ re im)))) (* (sqrt (fma im (+ re im) (* re re))) (sqrt (fma im (- im re) (* re re)))))) * * * * [misc]progress: [ 96 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- re im) (+ (pow re 3) (pow im 3)))) (sqrt (* (- (* re re) (* im im)) (+ re im)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (375 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (+ im re) (+ im re)) (- re im))) (sqrt (* (- re im) (fma (* im im) im (pow re 3))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (* (+ im re) (+ im re)) (- re im))) (sqrt (* (- re im) (fma (* im im) im (pow re 3))))) (* (sqrt (+ (* re re) (- (* im im) (* re im)))) (sqrt (+ re im))))) * [enter]simplify: Simplifying (* (sqrt (+ (* re re) (- (* im im) (* re im)))) (sqrt (+ re im))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (* (sqrt (+ re im)) (sqrt (fma im (- im re) (* re re)))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- re im) (+ (pow re 3) (pow im 3)))) (sqrt (* (- (* re re) (* im im)) (+ re im)))) (* (sqrt (+ re im)) (sqrt (fma im (- im re) (* re re)))))) * * * * [misc]progress: [ 97 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- re im) (- (* re re) (* im im)))) (sqrt (* (- (pow re 3) (pow im 3)) (+ (pow re 3) (pow im 3))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (401 enodes) * [exit]simplify: Simplified to (* (sqrt (* (- re im) (* (+ im re) (- re im)))) (sqrt (* (fma (- im) (* im im) (pow re 3)) (fma im (* im im) (pow re 3))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (- re im) (* (+ im re) (- re im)))) (sqrt (* (fma (- im) (* im im) (pow re 3)) (fma im (* im im) (pow re 3))))) (* (sqrt (- re im)) (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (+ (* re re) (- (* im im) (* re im)))))))) * [enter]simplify: Simplifying (* (sqrt (- re im)) (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (+ (* re re) (- (* im im) (* re im)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma im (- im re) (* re re)) (fma im (+ im re) (* re re)))) (sqrt (- re im))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- re im) (- (* re re) (* im im)))) (sqrt (* (- (pow re 3) (pow im 3)) (+ (pow re 3) (pow im 3))))) (* (sqrt (* (fma im (- im re) (* re re)) (fma im (+ im re) (* re re)))) (sqrt (- re im))))) * * * * [misc]progress: [ 98 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- re im) (- (* re re) (* im im)))) (sqrt (* (- (pow re 3) (pow im 3)) (- (* re re) (* im im))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (349 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma (- im) (* im im) (pow re 3)) (* (- re im) (+ im re)))) (sqrt (* (- re im) (* (- re im) (+ im re))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (fma (- im) (* im im) (pow re 3)) (* (- re im) (+ im re)))) (sqrt (* (- re im) (* (- re im) (+ im re))))) (* (sqrt (- re im)) (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (- re im)))))) * [enter]simplify: Simplifying (* (sqrt (- re im)) (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (- re im)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma im (+ im re) (* re re)) (- re im))) (sqrt (- re im))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- re im) (- (* re re) (* im im)))) (sqrt (* (- (pow re 3) (pow im 3)) (- (* re re) (* im im))))) (* (sqrt (* (fma im (+ im re) (* re re)) (- re im))) (sqrt (- re im))))) * * * * [misc]progress: [ 99 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- re im) (- (* re re) (* im im)))) (sqrt (* (- (* re re) (* im im)) (+ (pow re 3) (pow im 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma im (* im im) (pow re 3)) (* (- re im) (+ im re)))) (sqrt (* (+ im re) (* (- re im) (- re im))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (fma im (* im im) (pow re 3)) (* (- re im) (+ im re)))) (sqrt (* (+ im re) (* (- re im) (- re im))))) (* (sqrt (- re im)) (sqrt (* (+ re im) (+ (* re re) (- (* im im) (* re im)))))))) * [enter]simplify: Simplifying (* (sqrt (- re im)) (sqrt (* (+ re im) (+ (* re re) (- (* im im) (* re im)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * [exit]simplify: Simplified to (* (sqrt (- re im)) (sqrt (* (fma (- im re) im (* re re)) (+ im re)))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- re im) (- (* re re) (* im im)))) (sqrt (* (- (* re re) (* im im)) (+ (pow re 3) (pow im 3))))) (* (sqrt (- re im)) (sqrt (* (fma (- im re) im (* re re)) (+ im re)))))) * * * * [misc]progress: [ 100 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- re im) (- (* re re) (* im im)))) (sqrt (* (- (* re re) (* im im)) (- (* re re) (* im im))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (293 enodes) * [exit]simplify: Simplified to (* (fabs (* (+ im re) (- re im))) (sqrt (* (- re im) (* (+ im re) (- re im))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (fabs (* (+ im re) (- re im))) (sqrt (* (- re im) (* (+ im re) (- re im))))) (* (sqrt (- re im)) (sqrt (* (+ re im) (- re im)))))) * [enter]simplify: Simplifying (* (sqrt (- re im)) (sqrt (* (+ re im) (- re im)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (244 enodes) * [exit]simplify: Simplified to (* (sqrt (- re im)) (sqrt (* (- re im) (+ im re)))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (fabs (* (+ im re) (- re im))) (sqrt (* (- re im) (* (+ im re) (- re im))))) (* (sqrt (- re im)) (sqrt (* (- re im) (+ im re)))))) * * * * [misc]progress: [ 101 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- re im) (- (* re re) (* im im)))) (sqrt (* (- re im) (+ (pow re 3) (pow im 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (312 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma im (* im im) (pow re 3)) (- re im))) (sqrt (* (- re im) (* (- re im) (+ im re))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (fma im (* im im) (pow re 3)) (- re im))) (sqrt (* (- re im) (* (- re im) (+ im re))))) (* (sqrt (- re im)) (sqrt (+ (* re re) (- (* im im) (* re im))))))) * [enter]simplify: Simplifying (* (sqrt (- re im)) (sqrt (+ (* re re) (- (* im im) (* re im))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (* (sqrt (fma re (- re im) (* im im))) (sqrt (- re im))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- re im) (- (* re re) (* im im)))) (sqrt (* (- re im) (+ (pow re 3) (pow im 3))))) (* (sqrt (fma re (- re im) (* im im))) (sqrt (- re im))))) * * * * [misc]progress: [ 102 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- re im) (- (* re re) (* im im)))) (sqrt (* (- re im) (- (* re re) (* im im))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * [exit]simplify: Simplified to (* (- re im) (* (+ im re) (- re im))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (- re im) (* (+ im re) (- re im))) (* (sqrt (- re im)) (sqrt (- re im))))) * [enter]simplify: Simplifying (* (sqrt (- re im)) (sqrt (- re im))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (- re im) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (- re im) (* (+ im re) (- re im))) (- re im))) * * * * [misc]progress: [ 103 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- re im) (- (* re re) (* im im)))) (sqrt (* (- (pow re 3) (pow im 3)) (+ re im)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (311 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- re im) (- re im)) (+ im re))) (sqrt (* (fma (* im im) (- im) (pow re 3)) (+ im re)))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (* (- re im) (- re im)) (+ im re))) (sqrt (* (fma (* im im) (- im) (pow re 3)) (+ im re)))) (* (sqrt (- re im)) (sqrt (+ (* re re) (+ (* im im) (* re im))))))) * [enter]simplify: Simplifying (* (sqrt (- re im)) (sqrt (+ (* re re) (+ (* im im) (* re im))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (+ im re) im (* re re))) (sqrt (- re im))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- re im) (- (* re re) (* im im)))) (sqrt (* (- (pow re 3) (pow im 3)) (+ re im)))) (* (sqrt (fma (+ im re) im (* re re))) (sqrt (- re im))))) * * * * [misc]progress: [ 104 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- re im) (- (* re re) (* im im)))) (sqrt (* (- (* re re) (* im im)) (+ re im)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (320 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ im re) (* (+ im re) (- re im)))) (sqrt (* (+ im re) (* (- re im) (- re im))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (+ im re) (* (+ im re) (- re im)))) (sqrt (* (+ im re) (* (- re im) (- re im))))) (* (sqrt (- re im)) (sqrt (+ re im))))) * [enter]simplify: Simplifying (* (sqrt (- re im)) (sqrt (+ re im))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (* (sqrt (- re im)) (sqrt (+ im re))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- re im) (- (* re re) (* im im)))) (sqrt (* (- (* re re) (* im im)) (+ re im)))) (* (sqrt (- re im)) (sqrt (+ im re))))) * * * * [misc]progress: [ 105 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (pow re 3) (pow im 3)) (+ re im))) (sqrt (* (- (pow re 3) (pow im 3)) (+ (pow re 3) (pow im 3))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (377 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ re im) (fma (- im) (* im im) (pow re 3)))) (sqrt (* (fma re (* re re) (pow im 3)) (fma (- im) (* im im) (pow re 3))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (+ re im) (fma (- im) (* im im) (pow re 3)))) (sqrt (* (fma re (* re re) (pow im 3)) (fma (- im) (* im im) (pow re 3))))) (* (sqrt (+ (* re re) (+ (* im im) (* re im)))) (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (+ (* re re) (- (* im im) (* re im)))))))) * [enter]simplify: Simplifying (* (sqrt (+ (* re re) (+ (* im im) (* re im)))) (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (+ (* re re) (- (* im im) (* re im)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * [exit]simplify: Simplified to (* (sqrt (fma im (+ re im) (* re re))) (sqrt (* (fma im (+ re im) (* re re)) (fma (- im re) im (* re re))))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- (pow re 3) (pow im 3)) (+ re im))) (sqrt (* (- (pow re 3) (pow im 3)) (+ (pow re 3) (pow im 3))))) (* (sqrt (fma im (+ re im) (* re re))) (sqrt (* (fma im (+ re im) (* re re)) (fma (- im re) im (* re re))))))) * * * * [misc]progress: [ 106 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (pow re 3) (pow im 3)) (+ re im))) (sqrt (* (- (pow re 3) (pow im 3)) (- (* re re) (* im im))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (306 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (+ re im) (- re im)) (fma (* im im) (- im) (pow re 3)))) (sqrt (* (+ re im) (fma (* im im) (- im) (pow re 3))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (* (+ re im) (- re im)) (fma (* im im) (- im) (pow re 3)))) (sqrt (* (+ re im) (fma (* im im) (- im) (pow re 3))))) (* (sqrt (+ (* re re) (+ (* im im) (* re im)))) (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (- re im)))))) * [enter]simplify: Simplifying (* (sqrt (+ (* re re) (+ (* im im) (* re im)))) (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (- re im)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * [exit]simplify: Simplified to (* (sqrt (* (- re im) (fma im (+ re im) (* re re)))) (sqrt (fma im (+ re im) (* re re)))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- (pow re 3) (pow im 3)) (+ re im))) (sqrt (* (- (pow re 3) (pow im 3)) (- (* re re) (* im im))))) (* (sqrt (* (- re im) (fma im (+ re im) (* re re)))) (sqrt (fma im (+ re im) (* re re)))))) * * * * [misc]progress: [ 107 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (pow re 3) (pow im 3)) (+ re im))) (sqrt (* (- (* re re) (* im im)) (+ (pow re 3) (pow im 3))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (447 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- re im) (+ re im)) (fma re (* re re) (pow im 3)))) (sqrt (* (+ re im) (fma (- im) (* im im) (pow re 3))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (* (- re im) (+ re im)) (fma re (* re re) (pow im 3)))) (sqrt (* (+ re im) (fma (- im) (* im im) (pow re 3))))) (* (sqrt (+ (* re re) (+ (* im im) (* re im)))) (sqrt (* (+ re im) (+ (* re re) (- (* im im) (* re im)))))))) * [enter]simplify: Simplifying (* (sqrt (+ (* re re) (+ (* im im) (* re im)))) (sqrt (* (+ re im) (+ (* re re) (- (* im im) (* re im)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (293 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma im (- im re) (* re re)) (+ re im))) (sqrt (fma im (+ re im) (* re re)))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- (pow re 3) (pow im 3)) (+ re im))) (sqrt (* (- (* re re) (* im im)) (+ (pow re 3) (pow im 3))))) (* (sqrt (* (fma im (- im re) (* re re)) (+ re im))) (sqrt (fma im (+ re im) (* re re)))))) * * * * [misc]progress: [ 108 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (pow re 3) (pow im 3)) (+ re im))) (sqrt (* (- (* re re) (* im im)) (- (* re re) (* im im))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to (* (fabs (* (- re im) (+ re im))) (sqrt (* (+ re im) (fma (* im im) (- im) (pow re 3))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (fabs (* (- re im) (+ re im))) (sqrt (* (+ re im) (fma (* im im) (- im) (pow re 3))))) (* (sqrt (+ (* re re) (+ (* im im) (* re im)))) (sqrt (* (+ re im) (- re im)))))) * [enter]simplify: Simplifying (* (sqrt (+ (* re re) (+ (* im im) (* re im)))) (sqrt (* (+ re im) (- re im)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (* (sqrt (fma im (+ re im) (* re re))) (sqrt (* (+ re im) (- re im)))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (fabs (* (- re im) (+ re im))) (sqrt (* (+ re im) (fma (* im im) (- im) (pow re 3))))) (* (sqrt (fma im (+ re im) (* re re))) (sqrt (* (+ re im) (- re im)))))) * * * * [misc]progress: [ 109 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (pow re 3) (pow im 3)) (+ re im))) (sqrt (* (- re im) (+ (pow re 3) (pow im 3))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ re im) (fma (- im) (* im im) (pow re 3)))) (sqrt (* (fma (* re re) re (pow im 3)) (- re im)))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (+ re im) (fma (- im) (* im im) (pow re 3)))) (sqrt (* (fma (* re re) re (pow im 3)) (- re im)))) (* (sqrt (+ (* re re) (+ (* im im) (* re im)))) (sqrt (+ (* re re) (- (* im im) (* re im))))))) * [enter]simplify: Simplifying (* (sqrt (+ (* re re) (+ (* im im) (* re im)))) (sqrt (+ (* re re) (- (* im im) (* re im))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to (* (sqrt (fma re (- re im) (* im im))) (sqrt (fma im (+ re im) (* re re)))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- (pow re 3) (pow im 3)) (+ re im))) (sqrt (* (- re im) (+ (pow re 3) (pow im 3))))) (* (sqrt (fma re (- re im) (* im im))) (sqrt (fma im (+ re im) (* re re)))))) * * * * [misc]progress: [ 110 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (pow re 3) (pow im 3)) (+ re im))) (sqrt (* (- re im) (- (* re re) (* im im))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (311 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- re im) (- re im)) (+ re im))) (sqrt (* (+ re im) (fma (- im) (* im im) (pow re 3))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (* (- re im) (- re im)) (+ re im))) (sqrt (* (+ re im) (fma (- im) (* im im) (pow re 3))))) (* (sqrt (+ (* re re) (+ (* im im) (* re im)))) (sqrt (- re im))))) * [enter]simplify: Simplifying (* (sqrt (+ (* re re) (+ (* im im) (* re im)))) (sqrt (- re im))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (* (sqrt (- re im)) (sqrt (fma (+ re im) im (* re re)))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- (pow re 3) (pow im 3)) (+ re im))) (sqrt (* (- re im) (- (* re re) (* im im))))) (* (sqrt (- re im)) (sqrt (fma (+ re im) im (* re re)))))) * * * * [misc]progress: [ 111 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (pow re 3) (pow im 3)) (+ re im))) (sqrt (* (- (pow re 3) (pow im 3)) (+ re im)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (403 enodes) * [exit]simplify: Simplified to (* (+ re im) (fma (* im im) (- im) (pow re 3))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (+ re im) (fma (* im im) (- im) (pow re 3))) (* (sqrt (+ (* re re) (+ (* im im) (* re im)))) (sqrt (+ (* re re) (+ (* im im) (* re im))))))) * [enter]simplify: Simplifying (* (sqrt (+ (* re re) (+ (* im im) (* re im)))) (sqrt (+ (* re re) (+ (* im im) (* re im))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (fma im (+ re im) (* re re)) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (+ re im) (fma (* im im) (- im) (pow re 3))) (fma im (+ re im) (* re re)))) * * * * [misc]progress: [ 112 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (pow re 3) (pow im 3)) (+ re im))) (sqrt (* (- (* re re) (* im im)) (+ re im)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (309 enodes) * [exit]simplify: Simplified to (* (sqrt (* (- re im) (* (+ re im) (+ re im)))) (sqrt (* (+ re im) (fma (* im im) (- im) (pow re 3))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (- re im) (* (+ re im) (+ re im)))) (sqrt (* (+ re im) (fma (* im im) (- im) (pow re 3))))) (* (sqrt (+ (* re re) (+ (* im im) (* re im)))) (sqrt (+ re im))))) * [enter]simplify: Simplifying (* (sqrt (+ (* re re) (+ (* im im) (* re im)))) (sqrt (+ re im))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (* (sqrt (+ re im)) (sqrt (fma im (+ re im) (* re re)))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- (pow re 3) (pow im 3)) (+ re im))) (sqrt (* (- (* re re) (* im im)) (+ re im)))) (* (sqrt (+ re im)) (sqrt (fma im (+ re im) (* re re)))))) * * * * [misc]progress: [ 113 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (* re re) (* im im)) (+ re im))) (sqrt (* (- (pow re 3) (pow im 3)) (+ (pow re 3) (pow im 3))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (408 enodes) * [exit]simplify: Simplified to (* (sqrt (* (- re im) (* (+ re im) (+ re im)))) (sqrt (* (fma (- im) (* im im) (pow re 3)) (fma im (* im im) (pow re 3))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (- re im) (* (+ re im) (+ re im)))) (sqrt (* (fma (- im) (* im im) (pow re 3)) (fma im (* im im) (pow re 3))))) (* (sqrt (+ re im)) (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (+ (* re re) (- (* im im) (* re im)))))))) * [enter]simplify: Simplifying (* (sqrt (+ re im)) (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (+ (* re re) (- (* im im) (* re im)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma im (- im re) (* re re)) (fma im (+ im re) (* re re)))) (sqrt (+ im re))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- (* re re) (* im im)) (+ re im))) (sqrt (* (- (pow re 3) (pow im 3)) (+ (pow re 3) (pow im 3))))) (* (sqrt (* (fma im (- im re) (* re re)) (fma im (+ im re) (* re re)))) (sqrt (+ im re))))) * * * * [misc]progress: [ 114 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (* re re) (* im im)) (+ re im))) (sqrt (* (- (pow re 3) (pow im 3)) (- (* re re) (* im im))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (320 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma (- im) (* im im) (pow re 3)) (* (- re im) (+ re im)))) (sqrt (* (* (+ re im) (+ re im)) (- re im)))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (fma (- im) (* im im) (pow re 3)) (* (- re im) (+ re im)))) (sqrt (* (* (+ re im) (+ re im)) (- re im)))) (* (sqrt (+ re im)) (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (- re im)))))) * [enter]simplify: Simplifying (* (sqrt (+ re im)) (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (- re im)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * [exit]simplify: Simplified to (* (sqrt (+ im re)) (sqrt (* (fma im (+ im re) (* re re)) (- re im)))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- (* re re) (* im im)) (+ re im))) (sqrt (* (- (pow re 3) (pow im 3)) (- (* re re) (* im im))))) (* (sqrt (+ im re)) (sqrt (* (fma im (+ im re) (* re re)) (- re im)))))) * * * * [misc]progress: [ 115 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (* re re) (* im im)) (+ re im))) (sqrt (* (- (* re re) (* im im)) (+ (pow re 3) (pow im 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (460 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma im (* im im) (pow re 3)) (* (- re im) (+ re im)))) (sqrt (* (- re im) (* (+ re im) (+ re im))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (fma im (* im im) (pow re 3)) (* (- re im) (+ re im)))) (sqrt (* (- re im) (* (+ re im) (+ re im))))) (* (sqrt (+ re im)) (sqrt (* (+ re im) (+ (* re re) (- (* im im) (* re im)))))))) * [enter]simplify: Simplifying (* (sqrt (+ re im)) (sqrt (* (+ re im) (+ (* re re) (- (* im im) (* re im)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (273 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma (- im re) im (* re re)) (+ im re))) (sqrt (+ im re))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- (* re re) (* im im)) (+ re im))) (sqrt (* (- (* re re) (* im im)) (+ (pow re 3) (pow im 3))))) (* (sqrt (* (fma (- im re) im (* re re)) (+ im re))) (sqrt (+ im re))))) * * * * [misc]progress: [ 116 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (* re re) (* im im)) (+ re im))) (sqrt (* (- (* re re) (* im im)) (- (* re re) (* im im))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * [exit]simplify: Simplified to (* (fabs (* (+ re im) (- re im))) (sqrt (* (* (+ re im) (+ re im)) (- re im)))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (fabs (* (+ re im) (- re im))) (sqrt (* (* (+ re im) (+ re im)) (- re im)))) (* (sqrt (+ re im)) (sqrt (* (+ re im) (- re im)))))) * [enter]simplify: Simplifying (* (sqrt (+ re im)) (sqrt (* (+ re im) (- re im)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to (* (sqrt (+ im re)) (sqrt (* (+ im re) (- re im)))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (fabs (* (+ re im) (- re im))) (sqrt (* (* (+ re im) (+ re im)) (- re im)))) (* (sqrt (+ im re)) (sqrt (* (+ im re) (- re im)))))) * * * * [misc]progress: [ 117 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (* re re) (* im im)) (+ re im))) (sqrt (* (- re im) (+ (pow re 3) (pow im 3))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (373 enodes) * [exit]simplify: Simplified to (* (sqrt (* (- re im) (* (+ re im) (+ re im)))) (sqrt (* (- re im) (fma (* re re) re (pow im 3))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (- re im) (* (+ re im) (+ re im)))) (sqrt (* (- re im) (fma (* re re) re (pow im 3))))) (* (sqrt (+ re im)) (sqrt (+ (* re re) (- (* im im) (* re im))))))) * [enter]simplify: Simplifying (* (sqrt (+ re im)) (sqrt (+ (* re re) (- (* im im) (* re im))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (* (sqrt (fma re (- re im) (* im im))) (sqrt (+ im re))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- (* re re) (* im im)) (+ re im))) (sqrt (* (- re im) (+ (pow re 3) (pow im 3))))) (* (sqrt (fma re (- re im) (* im im))) (sqrt (+ im re))))) * * * * [misc]progress: [ 118 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (* re re) (* im im)) (+ re im))) (sqrt (* (- re im) (- (* re re) (* im im))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (320 enodes) * [exit]simplify: Simplified to (* (sqrt (* (- re im) (* (- re im) (+ re im)))) (sqrt (* (- re im) (* (+ re im) (+ re im))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (- re im) (* (- re im) (+ re im)))) (sqrt (* (- re im) (* (+ re im) (+ re im))))) (* (sqrt (+ re im)) (sqrt (- re im))))) * [enter]simplify: Simplifying (* (sqrt (+ re im)) (sqrt (- re im))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (* (sqrt (+ im re)) (sqrt (- re im))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- (* re re) (* im im)) (+ re im))) (sqrt (* (- re im) (- (* re re) (* im im))))) (* (sqrt (+ im re)) (sqrt (- re im))))) * * * * [misc]progress: [ 119 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (* re re) (* im im)) (+ re im))) (sqrt (* (- (pow re 3) (pow im 3)) (+ re im)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (309 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma (- im) (* im im) (pow re 3)) (+ re im))) (sqrt (* (* (+ re im) (+ re im)) (- re im)))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (fma (- im) (* im im) (pow re 3)) (+ re im))) (sqrt (* (* (+ re im) (+ re im)) (- re im)))) (* (sqrt (+ re im)) (sqrt (+ (* re re) (+ (* im im) (* re im))))))) * [enter]simplify: Simplifying (* (sqrt (+ re im)) (sqrt (+ (* re re) (+ (* im im) (* re im))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (* (sqrt (fma im (+ im re) (* re re))) (sqrt (+ im re))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- (* re re) (* im im)) (+ re im))) (sqrt (* (- (pow re 3) (pow im 3)) (+ re im)))) (* (sqrt (fma im (+ im re) (* re re))) (sqrt (+ im re))))) * * * * [misc]progress: [ 120 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (* re re) (* im im)) (+ re im))) (sqrt (* (- (* re re) (* im im)) (+ re im)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * [exit]simplify: Simplified to (* (- re im) (* (+ re im) (+ re im))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (- re im) (* (+ re im) (+ re im))) (* (sqrt (+ re im)) (sqrt (+ re im))))) * [enter]simplify: Simplifying (* (sqrt (+ re im)) (sqrt (+ re im))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (+ im re) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (- re im) (* (+ re im) (+ re im))) (+ im re))) * * * * [misc]progress: [ 121 / 187 ] simplifiying candidate # * * * * [misc]progress: [ 122 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (* (- re im) (+ re im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (* (- re im) (+ im re)))) * [misc]simplify: Simplified (2 2) to (λ (re im) (* (* (sqrt (* (- re im) (+ re im))) (* (cbrt (sqrt (* (- re im) (+ re im)))) (cbrt (sqrt (* (- re im) (+ re im)))))) (cbrt (sqrt (* (- re im) (+ im re)))))) * * * * [misc]progress: [ 123 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ re im)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ im re)) * [misc]simplify: Simplified (2 2) to (λ (re im) (* (* (sqrt (* (- re im) (+ re im))) (sqrt (- re im))) (sqrt (+ im re)))) * * * * [misc]progress: [ 124 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (* (- re im) (+ re im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (* (- re im) (+ im re)))) * [misc]simplify: Simplified (2 2) to (λ (re im) (* (* (sqrt (* (- re im) (+ re im))) (sqrt (sqrt (* (- re im) (+ re im))))) (sqrt (sqrt (* (- re im) (+ im re)))))) * * * * [misc]progress: [ 125 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (- re im) (+ re im))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (sqrt (* (- re im) (+ im re))) * [misc]simplify: Simplified (2 2) to (λ (re im) (* (* (sqrt (* (- re im) (+ re im))) 1) (sqrt (* (- re im) (+ im re))))) * * * * [misc]progress: [ 126 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (* (- re im) (+ re im)))) (cbrt (sqrt (* (- re im) (+ re im))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (279 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (* (- re im) (+ im re)))) (cbrt (sqrt (* (- re im) (+ im re))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (* (* (cbrt (sqrt (* (- re im) (+ im re)))) (cbrt (sqrt (* (- re im) (+ im re))))) (* (cbrt (sqrt (* (- re im) (+ re im)))) (sqrt (* (- re im) (+ re im)))))) * * * * [misc]progress: [ 127 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- re im)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (sqrt (- re im)) * [misc]simplify: Simplified (2 1) to (λ (re im) (* (sqrt (- re im)) (* (sqrt (+ re im)) (sqrt (* (- re im) (+ re im)))))) * * * * [misc]progress: [ 128 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (* (- re im) (+ re im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (* (- re im) (+ im re)))) * [misc]simplify: Simplified (2 1) to (λ (re im) (* (sqrt (sqrt (* (- re im) (+ im re)))) (* (sqrt (sqrt (* (- re im) (+ re im)))) (sqrt (* (- re im) (+ re im)))))) * * * * [misc]progress: [ 129 / 187 ] simplifiying candidate # * * * * [misc]progress: [ 130 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (+ (* re re) (- (* im im) (* re im))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * [exit]simplify: Simplified to (sqrt (* (fma im (- im re) (* re re)) (fma im (+ re im) (* re re)))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- re im) (+ re im))) (sqrt (* (- (pow re 3) (pow im 3)) (+ (pow re 3) (pow im 3))))) (sqrt (* (fma im (- im re) (* re re)) (fma im (+ re im) (* re re)))))) * * * * [misc]progress: [ 131 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (- re im))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * [exit]simplify: Simplified to (sqrt (* (- re im) (fma im (+ re im) (* re re)))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- re im) (+ re im))) (sqrt (* (- (pow re 3) (pow im 3)) (- (* re re) (* im im))))) (sqrt (* (- re im) (fma im (+ re im) (* re re)))))) * * * * [misc]progress: [ 132 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (+ re im) (+ (* re re) (- (* im im) (* re im))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (270 enodes) * [exit]simplify: Simplified to (sqrt (* (fma (- im re) im (* re re)) (+ im re))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- re im) (+ re im))) (sqrt (* (- (* re re) (* im im)) (+ (pow re 3) (pow im 3))))) (sqrt (* (fma (- im re) im (* re re)) (+ im re))))) * * * * [misc]progress: [ 133 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (+ re im) (- re im))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (sqrt (* (+ im re) (- re im))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- re im) (+ re im))) (sqrt (* (- (* re re) (* im im)) (- (* re re) (* im im))))) (sqrt (* (+ im re) (- re im))))) * * * * [misc]progress: [ 134 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* re re) (- (* im im) (* re im)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (sqrt (fma re (- re im) (* im im))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- re im) (+ re im))) (sqrt (* (- re im) (+ (pow re 3) (pow im 3))))) (sqrt (fma re (- re im) (* im im))))) * * * * [misc]progress: [ 135 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- re im)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (sqrt (- re im)) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- re im) (+ re im))) (sqrt (* (- re im) (- (* re re) (* im im))))) (sqrt (- re im)))) * * * * [misc]progress: [ 136 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* re re) (+ (* im im) (* re im)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (sqrt (fma im (+ re im) (* re re))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- re im) (+ re im))) (sqrt (* (- (pow re 3) (pow im 3)) (+ re im)))) (sqrt (fma im (+ re im) (* re re))))) * * * * [misc]progress: [ 137 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ re im)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ im re)) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sqrt (* (- re im) (+ re im))) (sqrt (* (- (* re re) (* im im)) (+ re im)))) (sqrt (+ im re)))) * * * * [misc]progress: [ 138 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (pow re 3) (pow im 3)) (+ (pow re 3) (pow im 3)))) (sqrt (* (- re im) (+ re im)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (310 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma (* re re) re (pow im 3)) (fma (- im) (* im im) (pow re 3)))) (sqrt (* (+ re im) (- re im)))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (fma (* re re) re (pow im 3)) (fma (- im) (* im im) (pow re 3)))) (sqrt (* (+ re im) (- re im)))) (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (+ (* re re) (- (* im im) (* re im))))))) * * * * [misc]progress: [ 139 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (pow re 3) (pow im 3)) (- (* re re) (* im im)))) (sqrt (* (- re im) (+ re im)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (376 enodes) * [exit]simplify: Simplified to (* (sqrt (* (- (* re re) (* im im)) (fma (- im) (* im im) (pow re 3)))) (sqrt (- (* re re) (* im im)))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (- (* re re) (* im im)) (fma (- im) (* im im) (pow re 3)))) (sqrt (- (* re re) (* im im)))) (sqrt (* (+ (* re re) (+ (* im im) (* re im))) (- re im))))) * * * * [misc]progress: [ 140 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (* re re) (* im im)) (+ (pow re 3) (pow im 3)))) (sqrt (* (- re im) (+ re im)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- re im) (+ re im)) (fma im (* im im) (pow re 3)))) (sqrt (* (- re im) (+ re im)))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (* (- re im) (+ re im)) (fma im (* im im) (pow re 3)))) (sqrt (* (- re im) (+ re im)))) (sqrt (* (+ re im) (+ (* re re) (- (* im im) (* re im))))))) * * * * [misc]progress: [ 141 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (* re re) (* im im)) (- (* re re) (* im im)))) (sqrt (* (- re im) (+ re im)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (423 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ re im) (- re im))) (fabs (* (+ re im) (- re im)))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (+ re im) (- re im))) (fabs (* (+ re im) (- re im)))) (sqrt (* (+ re im) (- re im))))) * * * * [misc]progress: [ 142 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- re im) (+ (pow re 3) (pow im 3)))) (sqrt (* (- re im) (+ re im)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * * [misc]simplify: iters left: 2 (497 enodes) * [exit]simplify: Simplified to (* (sqrt (* (- re im) (fma re (* re re) (pow im 3)))) (sqrt (* (+ im re) (- re im)))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (- re im) (fma re (* re re) (pow im 3)))) (sqrt (* (+ im re) (- re im)))) (sqrt (+ (* re re) (- (* im im) (* re im)))))) * * * * [misc]progress: [ 143 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- re im) (- (* re re) (* im im)))) (sqrt (* (- re im) (+ re im)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ im re) (- re im))) (sqrt (* (* (+ im re) (- re im)) (- re im)))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (+ im re) (- re im))) (sqrt (* (* (+ im re) (- re im)) (- re im)))) (sqrt (- re im)))) * * * * [misc]progress: [ 144 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (pow re 3) (pow im 3)) (+ re im))) (sqrt (* (- re im) (+ re im)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ re im) (fma (- im) (* im im) (pow re 3)))) (sqrt (* (+ re im) (- re im)))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (+ re im) (fma (- im) (* im im) (pow re 3)))) (sqrt (* (+ re im) (- re im)))) (sqrt (+ (* re re) (+ (* im im) (* re im)))))) * * * * [misc]progress: [ 145 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (- (* re re) (* im im)) (+ re im))) (sqrt (* (- re im) (+ re im)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (398 enodes) * [exit]simplify: Simplified to (* (sqrt (* (- re im) (+ re im))) (sqrt (* (* (+ re im) (+ re im)) (- re im)))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (* (sqrt (* (- re im) (+ re im))) (sqrt (* (* (+ re im) (+ re im)) (- re im)))) (sqrt (+ re im)))) * * * * [misc]progress: [ 146 / 187 ] simplifiying candidate # * * * * [misc]progress: [ 147 / 187 ] simplifiying candidate # * * * * [misc]progress: [ 148 / 187 ] simplifiying candidate # * * * * [misc]progress: [ 149 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- re im) (+ re im)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (* (- re im) (+ im re)) * [misc]simplify: Simplified (2 2 1 1) to (λ (re im) (* (sqrt (* (- re im) (+ re im))) (sqrt (pow (* (- re im) (+ im re)) 1)))) * * * * [misc]progress: [ 150 / 187 ] simplifiying candidate # * * * * [misc]progress: [ 151 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (- re im)) (log (+ re im))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (+ (log (+ im re)) (log (- re im))) * [misc]simplify: Simplified (2 2 1 1) to (λ (re im) (* (sqrt (* (- re im) (+ re im))) (sqrt (exp (+ (log (+ im re)) (log (- re im))))))) * * * * [misc]progress: [ 152 / 187 ] simplifiying candidate # * * * * [misc]progress: [ 153 / 187 ] simplifiying candidate # * * * * [misc]progress: [ 154 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- re im) (- re im)) (- re im)) (* (* (+ re im) (+ re im)) (+ re im))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * [exit]simplify: Simplified to (* (pow (+ im re) 3) (pow (- re im) 3)) * [misc]simplify: Simplified (2 2 1 1) to (λ (re im) (* (sqrt (* (- re im) (+ re im))) (sqrt (cbrt (* (pow (+ im re) 3) (pow (- re im) 3)))))) * * * * [misc]progress: [ 155 / 187 ] simplifiying candidate # * * * * [misc]progress: [ 156 / 187 ] simplifiying candidate # * * * * [misc]progress: [ 157 / 187 ] simplifiying candidate # * * * * [misc]progress: [ 158 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow re 3) (pow im 3)) (+ (pow re 3) (pow im 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (240 enodes) * [exit]simplify: Simplified to (* (fma (* im im) im (pow re 3)) (fma (* im im) (- im) (pow re 3))) * [misc]simplify: Simplified (2 2 1 1) to (λ (re im) (* (sqrt (* (- re im) (+ re im))) (sqrt (/ (* (fma (* im im) im (pow re 3)) (fma (* im im) (- im) (pow re 3))) (* (+ (* re re) (+ (* im im) (* re im))) (+ (* re re) (- (* im im) (* re im)))))))) * [enter]simplify: Simplifying (* (+ (* re re) (+ (* im im) (* re im))) (+ (* re re) (- (* im im) (* re im)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * [exit]simplify: Simplified to (* (fma (- im re) im (* re re)) (fma (+ re im) im (* re re))) * [misc]simplify: Simplified (2 2 1 2) to (λ (re im) (* (sqrt (* (- re im) (+ re im))) (sqrt (/ (* (- (pow re 3) (pow im 3)) (+ (pow re 3) (pow im 3))) (* (fma (- im re) im (* re re)) (fma (+ re im) im (* re re))))))) * * * * [misc]progress: [ 159 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow re 3) (pow im 3)) (- (* re re) (* im im))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * [exit]simplify: Simplified to (* (- (* re re) (* im im)) (fma (- im) (* im im) (pow re 3))) * [misc]simplify: Simplified (2 2 1 1) to (λ (re im) (* (sqrt (* (- re im) (+ re im))) (sqrt (/ (* (- (* re re) (* im im)) (fma (- im) (* im im) (pow re 3))) (* (+ (* re re) (+ (* im im) (* re im))) (- re im)))))) * [enter]simplify: Simplifying (* (+ (* re re) (+ (* im im) (* re im))) (- re im)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * [exit]simplify: Simplified to (* (- re im) (fma im (+ re im) (* re re))) * [misc]simplify: Simplified (2 2 1 2) to (λ (re im) (* (sqrt (* (- re im) (+ re im))) (sqrt (/ (* (- (pow re 3) (pow im 3)) (- (* re re) (* im im))) (* (- re im) (fma im (+ re im) (* re re))))))) * * * * [misc]progress: [ 160 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* re re) (* im im)) (+ (pow re 3) (pow im 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * [exit]simplify: Simplified to (* (fma im (* im im) (pow re 3)) (* (+ re im) (- re im))) * [misc]simplify: Simplified (2 2 1 1) to (λ (re im) (* (sqrt (* (- re im) (+ re im))) (sqrt (/ (* (fma im (* im im) (pow re 3)) (* (+ re im) (- re im))) (* (+ re im) (+ (* re re) (- (* im im) (* re im)))))))) * [enter]simplify: Simplifying (* (+ re im) (+ (* re re) (- (* im im) (* re im)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (269 enodes) * [exit]simplify: Simplified to (* (fma (- im re) im (* re re)) (+ im re)) * [misc]simplify: Simplified (2 2 1 2) to (λ (re im) (* (sqrt (* (- re im) (+ re im))) (sqrt (/ (* (- (* re re) (* im im)) (+ (pow re 3) (pow im 3))) (* (fma (- im re) im (* re re)) (+ im re)))))) * * * * [misc]progress: [ 161 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* re re) (* im im)) (- (* re re) (* im im))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * [exit]simplify: Simplified to (* (* (+ re im) (- re im)) (* (+ re im) (- re im))) * [misc]simplify: Simplified (2 2 1 1) to (λ (re im) (* (sqrt (* (- re im) (+ re im))) (sqrt (/ (* (* (+ re im) (- re im)) (* (+ re im) (- re im))) (* (+ re im) (- re im)))))) * [enter]simplify: Simplifying (* (+ re im) (- re im)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (* (+ im re) (- re im)) * [misc]simplify: Simplified (2 2 1 2) to (λ (re im) (* (sqrt (* (- re im) (+ re im))) (sqrt (/ (* (- (* re re) (* im im)) (- (* re re) (* im im))) (* (+ im re) (- re im)))))) * * * * [misc]progress: [ 162 / 187 ] simplifiying candidate # * * * * [misc]progress: [ 163 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- re im) im) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (* (- re im) im) * [misc]simplify: Simplified (2 2 1 2) to (λ (re im) (* (sqrt (* (- re im) (+ re im))) (sqrt (+ (* (- re im) re) (* (- re im) im))))) * * * * [misc]progress: [ 164 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* im (- re im)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (* im (- re im)) * [misc]simplify: Simplified (2 2 1 2) to (λ (re im) (* (sqrt (* (- re im) (+ re im))) (sqrt (+ (* re (- re im)) (* im (- re im)))))) * * * * [misc]progress: [ 165 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ re im)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ im re)) * [misc]simplify: Simplified (2 2 1 2) to (λ (re im) (* (sqrt (* (- re im) (+ re im))) (sqrt (* (* (- re im) (* (cbrt (+ re im)) (cbrt (+ re im)))) (cbrt (+ im re)))))) * * * * [misc]progress: [ 166 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ re im)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ im re)) * [misc]simplify: Simplified (2 2 1 2) to (λ (re im) (* (sqrt (* (- re im) (+ re im))) (sqrt (* (* (- re im) (sqrt (+ re im))) (sqrt (+ im re)))))) * * * * [misc]progress: [ 167 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (+ re im) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ im re) * [misc]simplify: Simplified (2 2 1 2) to (λ (re im) (* (sqrt (* (- re im) (+ re im))) (sqrt (* (* (- re im) 1) (+ im re))))) * * * * [misc]progress: [ 168 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- re im)) (cbrt (- re im))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (- re im)) (cbrt (- re im))) * [misc]simplify: Simplified (2 2 1 1) to (λ (re im) (* (sqrt (* (- re im) (+ re im))) (sqrt (* (* (cbrt (- re im)) (cbrt (- re im))) (* (cbrt (- re im)) (+ re im)))))) * * * * [misc]progress: [ 169 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- re im)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (sqrt (- re im)) * [misc]simplify: Simplified (2 2 1 1) to (λ (re im) (* (sqrt (* (- re im) (+ re im))) (sqrt (* (sqrt (- re im)) (* (sqrt (- re im)) (+ re im)))))) * * * * [misc]progress: [ 170 / 187 ] simplifiying candidate # * * * * [misc]progress: [ 171 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* re re) (- (* im im) (* re im))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (fma (- im re) im (* re re)) * [misc]simplify: Simplified (2 2 1 2) to (λ (re im) (* (sqrt (* (- re im) (+ re im))) (sqrt (/ (* (- re im) (+ (pow re 3) (pow im 3))) (fma (- im re) im (* re re)))))) * * * * [misc]progress: [ 172 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (- re im) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- re im) * [misc]simplify: Simplified (2 2 1 2) to (λ (re im) (* (sqrt (* (- re im) (+ re im))) (sqrt (/ (* (- re im) (- (* re re) (* im im))) (- re im))))) * * * * [misc]progress: [ 173 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow re 3) (pow im 3)) (+ re im)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to (* (+ re im) (fma (* im im) (- im) (pow re 3))) * [misc]simplify: Simplified (2 2 1 1) to (λ (re im) (* (sqrt (* (- re im) (+ re im))) (sqrt (/ (* (+ re im) (fma (* im im) (- im) (pow re 3))) (+ (* re re) (+ (* im im) (* re im))))))) * * * * [misc]progress: [ 174 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* re re) (* im im)) (+ re im)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * [exit]simplify: Simplified to (* (- re im) (* (+ re im) (+ re im))) * [misc]simplify: Simplified (2 2 1 1) to (λ (re im) (* (sqrt (* (- re im) (+ re im))) (sqrt (/ (* (- re im) (* (+ re im) (+ re im))) (+ re im))))) * * * * [misc]progress: [ 175 / 187 ] simplifiying candidate # * * * * [misc]progress: [ 176 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt -1) im) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* im (sqrt -1)) * [misc]simplify: Simplified (2 2) to (λ (re im) (* (sqrt (* (- re im) (+ re im))) (* im (sqrt -1)))) * * * * [misc]progress: [ 177 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying re * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to re * [misc]simplify: Simplified (2 2) to (λ (re im) (* (sqrt (* (- re im) (+ re im))) re)) * * * * [misc]progress: [ 178 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 re) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- re) * [misc]simplify: Simplified (2 2) to (λ (re im) (* (sqrt (* (- re im) (+ re im))) (- re))) * * * * [misc]progress: [ 179 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt -1) im) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* im (sqrt -1)) * [misc]simplify: Simplified (2 1) to (λ (re im) (* (* im (sqrt -1)) (sqrt (* (- re im) (+ re im))))) * * * * [misc]progress: [ 180 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying re * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to re * [misc]simplify: Simplified (2 1) to (λ (re im) (* re (sqrt (* (- re im) (+ re im))))) * * * * [misc]progress: [ 181 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 re) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- re) * [misc]simplify: Simplified (2 1) to (λ (re im) (* (- re) (sqrt (* (- re im) (+ re im))))) * * * * [misc]progress: [ 182 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp (* 2 (+ (log (sqrt -1)) (log im)))) (pow re 2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (fma re re (* im (- im))) * [misc]simplify: Simplified (2) to (λ (re im) (fma re re (* im (- im)))) * * * * [misc]progress: [ 183 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow re 2) (pow im 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (- (* re re) (* im im)) * [misc]simplify: Simplified (2) to (λ (re im) (- (* re re) (* im im))) * * * * [misc]progress: [ 184 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow re 2) (pow im 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (- (* re re) (* im im)) * [misc]simplify: Simplified (2) to (λ (re im) (- (* re re) (* im im))) * * * * [misc]progress: [ 185 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow re 2) (pow im 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (- (* re re) (* im im)) * [misc]simplify: Simplified (2 2 1) to (λ (re im) (* (sqrt (* (- re im) (+ re im))) (sqrt (- (* re re) (* im im))))) * * * * [misc]progress: [ 186 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow re 2) (pow im 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (- (* re re) (* im im)) * [misc]simplify: Simplified (2 2 1) to (λ (re im) (* (sqrt (* (- re im) (+ re im))) (sqrt (- (* re re) (* im im))))) * * * * [misc]progress: [ 187 / 187 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow re 2) (pow im 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (- (* re re) (* im im)) * [misc]simplify: Simplified (2 2 1) to (λ (re im) (* (sqrt (* (- re im) (+ re im))) (sqrt (- (* re re) (* im im))))) * * * [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 (- (* re re) (* im im)) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (* (- re im) (+ re im)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (* (- re im) (+ im re)) * * * * [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 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 3476 additional inputs, on iter 1 have 4524 / 8000 * * * * [misc]points: Computing exacts on every 217 of 3476 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 108 of 3476 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 54 of 3476 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 27 of 3476 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 13 of 3476 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 6 of 3476 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 3476 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 3476 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 1537 additional inputs, on iter 2 have 6463 / 8000 * * * * [misc]points: Computing exacts on every 96 of 1537 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 48 of 1537 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 24 of 1537 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 12 of 1537 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 6 of 1537 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 1537 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 1537 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 671 additional inputs, on iter 3 have 7329 / 8000 * * * * [misc]points: Computing exacts on every 41 of 671 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 20 of 671 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 10 of 671 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 5 of 671 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 2 of 671 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 671 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 270 additional inputs, on iter 4 have 7730 / 8000 * * * * [misc]points: Computing exacts on every 16 of 270 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 8 of 270 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 4 of 270 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 2 of 270 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 270 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 124 additional inputs, on iter 5 have 7876 / 8000 * * * * [misc]points: Computing exacts on every 7 of 124 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 124 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 124 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 51 additional inputs, on iter 6 have 7949 / 8000 * * * * [misc]points: Computing exacts on every 3 of 51 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 51 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 22 additional inputs, on iter 7 have 7978 / 8000 * * * * [misc]points: Computing exacts for 22 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 10 additional inputs, on iter 8 have 7990 / 8000 * * * * [misc]points: Computing exacts for 10 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 9 have 7996 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 10 have 7999 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8002 points with exact outputs