0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.020 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.020 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 0.020 * * [simplify]: iters left: 5 (6 enodes) 0.021 * * [simplify]: iters left: 4 (19 enodes) 0.024 * * [simplify]: Extracting #0: cost 1 inf + 0 0.024 * * [simplify]: Extracting #1: cost 3 inf + 0 0.024 * * [simplify]: Extracting #2: cost 6 inf + 0 0.024 * * [simplify]: Extracting #3: cost 10 inf + 0 0.024 * * [simplify]: Extracting #4: cost 6 inf + 84 0.024 * * [simplify]: Extracting #5: cost 0 inf + 734 0.024 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 0.024 * [simplify]: Simplified (2) to (λ (re im) (sqrt (+ (* re re) (* im im)))) 0.036 * * [progress]: iteration 1 / 4 0.036 * * * [progress]: picking best candidate 0.038 * * * * [pick]: Picked # 0.038 * * * [progress]: localizing error 0.048 * * * [progress]: generating rewritten candidates 0.049 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.054 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.061 * * * [progress]: generating series expansions 0.061 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.062 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 0.062 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 0.062 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.062 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.062 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.062 * [taylor]: Taking taylor expansion of im in im 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 1 into 1 0.062 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.062 * [taylor]: Taking taylor expansion of re in im 0.062 * [backup-simplify]: Simplify re into re 0.062 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.062 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.062 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.062 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.062 * [backup-simplify]: Simplify (+ 0 0) into 0 0.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.063 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.063 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.063 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.063 * [taylor]: Taking taylor expansion of im in re 0.063 * [backup-simplify]: Simplify im into im 0.063 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.063 * [taylor]: Taking taylor expansion of re in re 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 1 into 1 0.063 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.063 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.063 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.063 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.063 * [backup-simplify]: Simplify (+ 0 0) into 0 0.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.063 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.063 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.063 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.063 * [taylor]: Taking taylor expansion of im in re 0.063 * [backup-simplify]: Simplify im into im 0.063 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.063 * [taylor]: Taking taylor expansion of re in re 0.063 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 1 into 1 0.064 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.064 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.064 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.064 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.064 * [backup-simplify]: Simplify (+ 0 0) into 0 0.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.064 * [taylor]: Taking taylor expansion of im in im 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 1 into 1 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [taylor]: Taking taylor expansion of 0 in im 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.065 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.065 * [backup-simplify]: Simplify (* 1 1) into 1 0.066 * [backup-simplify]: Simplify (+ 0 1) into 1 0.066 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.066 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.066 * [taylor]: Taking taylor expansion of 1/2 in im 0.066 * [backup-simplify]: Simplify 1/2 into 1/2 0.066 * [taylor]: Taking taylor expansion of im in im 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 1 into 1 0.067 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.068 * [backup-simplify]: Simplify (+ 0 0) into 0 0.069 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.069 * [taylor]: Taking taylor expansion of 0 in im 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.069 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.069 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.069 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.070 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.070 * [taylor]: Taking taylor expansion of re in im 0.070 * [backup-simplify]: Simplify re into re 0.070 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.070 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.070 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.070 * [taylor]: Taking taylor expansion of im in im 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 1 into 1 0.070 * [backup-simplify]: Simplify (* 1 1) into 1 0.070 * [backup-simplify]: Simplify (/ 1 1) into 1 0.070 * [backup-simplify]: Simplify (+ 0 1) into 1 0.071 * [backup-simplify]: Simplify (sqrt 1) into 1 0.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.072 * [backup-simplify]: Simplify (+ 0 0) into 0 0.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.072 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.072 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.072 * [taylor]: Taking taylor expansion of re in re 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 1 into 1 0.073 * [backup-simplify]: Simplify (* 1 1) into 1 0.073 * [backup-simplify]: Simplify (/ 1 1) into 1 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.073 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.073 * [taylor]: Taking taylor expansion of im in re 0.073 * [backup-simplify]: Simplify im into im 0.073 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.073 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.073 * [backup-simplify]: Simplify (+ 1 0) into 1 0.073 * [backup-simplify]: Simplify (sqrt 1) into 1 0.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.074 * [backup-simplify]: Simplify (+ 0 0) into 0 0.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.075 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.075 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.075 * [taylor]: Taking taylor expansion of re in re 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 1 into 1 0.075 * [backup-simplify]: Simplify (* 1 1) into 1 0.076 * [backup-simplify]: Simplify (/ 1 1) into 1 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.076 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.076 * [taylor]: Taking taylor expansion of im in re 0.076 * [backup-simplify]: Simplify im into im 0.076 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.076 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.076 * [backup-simplify]: Simplify (+ 1 0) into 1 0.076 * [backup-simplify]: Simplify (sqrt 1) into 1 0.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.077 * [backup-simplify]: Simplify (+ 0 0) into 0 0.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.078 * [taylor]: Taking taylor expansion of 1 in im 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [taylor]: Taking taylor expansion of 0 in im 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.079 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.080 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.080 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.080 * [taylor]: Taking taylor expansion of 1/2 in im 0.080 * [backup-simplify]: Simplify 1/2 into 1/2 0.080 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.080 * [taylor]: Taking taylor expansion of im in im 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [backup-simplify]: Simplify (* 1 1) into 1 0.081 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.083 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.083 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.083 * [backup-simplify]: Simplify (+ 0 0) into 0 0.084 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.084 * [taylor]: Taking taylor expansion of 0 in im 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.085 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.085 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.085 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.085 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.085 * [taylor]: Taking taylor expansion of re in im 0.085 * [backup-simplify]: Simplify re into re 0.085 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.085 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.085 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.085 * [taylor]: Taking taylor expansion of im in im 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.086 * [backup-simplify]: Simplify (* 1 1) into 1 0.086 * [backup-simplify]: Simplify (/ 1 1) into 1 0.086 * [backup-simplify]: Simplify (+ 0 1) into 1 0.086 * [backup-simplify]: Simplify (sqrt 1) into 1 0.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.088 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.088 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.088 * [taylor]: Taking taylor expansion of re in re 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [backup-simplify]: Simplify (* 1 1) into 1 0.089 * [backup-simplify]: Simplify (/ 1 1) into 1 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.089 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.089 * [taylor]: Taking taylor expansion of im in re 0.089 * [backup-simplify]: Simplify im into im 0.089 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.089 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.089 * [backup-simplify]: Simplify (+ 1 0) into 1 0.090 * [backup-simplify]: Simplify (sqrt 1) into 1 0.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify (+ 0 0) into 0 0.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.091 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.091 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.091 * [taylor]: Taking taylor expansion of re in re 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (* 1 1) into 1 0.092 * [backup-simplify]: Simplify (/ 1 1) into 1 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.092 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.092 * [taylor]: Taking taylor expansion of im in re 0.092 * [backup-simplify]: Simplify im into im 0.092 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.092 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.092 * [backup-simplify]: Simplify (+ 1 0) into 1 0.092 * [backup-simplify]: Simplify (sqrt 1) into 1 0.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.093 * [backup-simplify]: Simplify (+ 0 0) into 0 0.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.094 * [taylor]: Taking taylor expansion of 1 in im 0.094 * [backup-simplify]: Simplify 1 into 1 0.094 * [taylor]: Taking taylor expansion of 0 in im 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 1 into 1 0.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.095 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.096 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.096 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.096 * [taylor]: Taking taylor expansion of 1/2 in im 0.096 * [backup-simplify]: Simplify 1/2 into 1/2 0.096 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.096 * [taylor]: Taking taylor expansion of im in im 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (* 1 1) into 1 0.097 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.100 * [taylor]: Taking taylor expansion of 0 in im 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.101 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.101 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2)) 0.101 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0 0.101 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.102 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.102 * [taylor]: Taking taylor expansion of im in im 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.102 * [taylor]: Taking taylor expansion of re in im 0.102 * [backup-simplify]: Simplify re into re 0.102 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.102 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.102 * [taylor]: Taking taylor expansion of im in re 0.102 * [backup-simplify]: Simplify im into im 0.102 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.102 * [taylor]: Taking taylor expansion of re in re 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.102 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.102 * [taylor]: Taking taylor expansion of im in re 0.102 * [backup-simplify]: Simplify im into im 0.102 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.102 * [taylor]: Taking taylor expansion of re in re 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.102 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.102 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.102 * [taylor]: Taking taylor expansion of im in im 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.103 * [taylor]: Taking taylor expansion of 0 in im 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.103 * [backup-simplify]: Simplify (* 1 1) into 1 0.104 * [backup-simplify]: Simplify (+ 0 1) into 1 0.104 * [taylor]: Taking taylor expansion of 1 in im 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (* 1 1) into 1 0.104 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.105 * [backup-simplify]: Simplify (+ 0 0) into 0 0.105 * [taylor]: Taking taylor expansion of 0 in im 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [taylor]: Taking taylor expansion of 0 in im 0.107 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2)) 0.108 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 0.108 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 0.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.108 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.108 * [taylor]: Taking taylor expansion of re in im 0.108 * [backup-simplify]: Simplify re into re 0.108 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.108 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.108 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.108 * [taylor]: Taking taylor expansion of im in im 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (* 1 1) into 1 0.109 * [backup-simplify]: Simplify (/ 1 1) into 1 0.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.109 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.109 * [taylor]: Taking taylor expansion of re in re 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (* 1 1) into 1 0.109 * [backup-simplify]: Simplify (/ 1 1) into 1 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.109 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.109 * [taylor]: Taking taylor expansion of im in re 0.109 * [backup-simplify]: Simplify im into im 0.109 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.109 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.109 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.109 * [taylor]: Taking taylor expansion of re in re 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.110 * [backup-simplify]: Simplify (* 1 1) into 1 0.110 * [backup-simplify]: Simplify (/ 1 1) into 1 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.110 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.110 * [taylor]: Taking taylor expansion of im in re 0.110 * [backup-simplify]: Simplify im into im 0.110 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.110 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.110 * [backup-simplify]: Simplify (+ 1 0) into 1 0.110 * [taylor]: Taking taylor expansion of 1 in im 0.110 * [backup-simplify]: Simplify 1 into 1 0.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [taylor]: Taking taylor expansion of 0 in im 0.112 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.116 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.116 * [taylor]: Taking taylor expansion of im in im 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify (* 1 1) into 1 0.117 * [backup-simplify]: Simplify (/ 1 1) into 1 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.118 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.118 * [backup-simplify]: Simplify (+ 0 0) into 0 0.118 * [taylor]: Taking taylor expansion of 0 in im 0.118 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.121 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.122 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.122 * [backup-simplify]: Simplify (+ 0 0) into 0 0.122 * [taylor]: Taking taylor expansion of 0 in im 0.122 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2)) 0.125 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 0.125 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.125 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.125 * [taylor]: Taking taylor expansion of re in im 0.125 * [backup-simplify]: Simplify re into re 0.125 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.125 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.125 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.125 * [taylor]: Taking taylor expansion of im in im 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (* 1 1) into 1 0.126 * [backup-simplify]: Simplify (/ 1 1) into 1 0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.126 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.126 * [taylor]: Taking taylor expansion of re in re 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.127 * [backup-simplify]: Simplify (* 1 1) into 1 0.127 * [backup-simplify]: Simplify (/ 1 1) into 1 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.127 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.127 * [taylor]: Taking taylor expansion of im in re 0.127 * [backup-simplify]: Simplify im into im 0.127 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.127 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.128 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.128 * [taylor]: Taking taylor expansion of re in re 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (* 1 1) into 1 0.128 * [backup-simplify]: Simplify (/ 1 1) into 1 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.128 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.128 * [taylor]: Taking taylor expansion of im in re 0.129 * [backup-simplify]: Simplify im into im 0.129 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.129 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.129 * [backup-simplify]: Simplify (+ 1 0) into 1 0.129 * [taylor]: Taking taylor expansion of 1 in im 0.129 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [taylor]: Taking taylor expansion of 0 in im 0.131 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.133 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.133 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.133 * [taylor]: Taking taylor expansion of im in im 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify (* 1 1) into 1 0.134 * [backup-simplify]: Simplify (/ 1 1) into 1 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.136 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.137 * [backup-simplify]: Simplify (+ 0 0) into 0 0.137 * [taylor]: Taking taylor expansion of 0 in im 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.141 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.141 * [backup-simplify]: Simplify (+ 0 0) into 0 0.142 * [taylor]: Taking taylor expansion of 0 in im 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2)) 0.144 * * * [progress]: simplifying candidates 0.144 * * * * [progress]: [ 1 / 34 ] simplifiying candidate # 0.144 * * * * [progress]: [ 2 / 34 ] simplifiying candidate # 0.144 * * * * [progress]: [ 3 / 34 ] simplifiying candidate # 0.144 * * * * [progress]: [ 4 / 34 ] simplifiying candidate # 0.144 * * * * [progress]: [ 5 / 34 ] simplifiying candidate # 0.144 * * * * [progress]: [ 6 / 34 ] simplifiying candidate # 0.144 * * * * [progress]: [ 7 / 34 ] simplifiying candidate # 0.145 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 0.145 * * [simplify]: iters left: 6 (8 enodes) 0.148 * * [simplify]: iters left: 5 (26 enodes) 0.154 * * [simplify]: Extracting #0: cost 1 inf + 0 0.154 * * [simplify]: Extracting #1: cost 4 inf + 0 0.154 * * [simplify]: Extracting #2: cost 7 inf + 0 0.154 * * [simplify]: Extracting #3: cost 10 inf + 0 0.154 * * [simplify]: Extracting #4: cost 14 inf + 0 0.154 * * [simplify]: Extracting #5: cost 10 inf + 84 0.154 * * [simplify]: Extracting #6: cost 8 inf + 166 0.155 * * [simplify]: Extracting #7: cost 4 inf + 854 0.155 * * [simplify]: Extracting #8: cost 1 inf + 1540 0.156 * * [simplify]: Extracting #9: cost 0 inf + 1782 0.156 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 0.156 * [simplify]: Simplified (2 1) to (λ (re im) (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) 0.156 * * * * [progress]: [ 8 / 34 ] simplifiying candidate # 0.156 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 0.157 * * [simplify]: iters left: 6 (7 enodes) 0.159 * * [simplify]: iters left: 5 (22 enodes) 0.164 * * [simplify]: Extracting #0: cost 1 inf + 0 0.164 * * [simplify]: Extracting #1: cost 3 inf + 0 0.164 * * [simplify]: Extracting #2: cost 5 inf + 0 0.164 * * [simplify]: Extracting #3: cost 8 inf + 0 0.164 * * [simplify]: Extracting #4: cost 12 inf + 0 0.164 * * [simplify]: Extracting #5: cost 10 inf + 2 0.164 * * [simplify]: Extracting #6: cost 1 inf + 936 0.165 * * [simplify]: Extracting #7: cost 0 inf + 1138 0.165 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 0.165 * [simplify]: Simplified (2 1) to (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) 0.165 * * * * [progress]: [ 9 / 34 ] simplifiying candidate # 0.165 * [simplify]: Simplifying (sqrt 1) 0.165 * * [simplify]: iters left: 1 (2 enodes) 0.169 * * [simplify]: Extracting #0: cost 1 inf + 0 0.169 * * [simplify]: Extracting #1: cost 0 inf + 1 0.169 * [simplify]: Simplified to 1 0.169 * [simplify]: Simplified (2 1) to (λ (re im) (* 1 (sqrt (+ (* re re) (* im im))))) 0.169 * * * * [progress]: [ 10 / 34 ] simplifiying candidate # 0.169 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 0.169 * * [simplify]: iters left: 6 (9 enodes) 0.175 * * [simplify]: iters left: 5 (45 enodes) 0.195 * * [simplify]: iters left: 4 (100 enodes) 0.218 * * [simplify]: iters left: 3 (201 enodes) 0.270 * * [simplify]: iters left: 2 (406 enodes) 0.434 * * [simplify]: Extracting #0: cost 1 inf + 0 0.434 * * [simplify]: Extracting #1: cost 3 inf + 0 0.434 * * [simplify]: Extracting #2: cost 6 inf + 0 0.435 * * [simplify]: Extracting #3: cost 62 inf + 0 0.435 * * [simplify]: Extracting #4: cost 166 inf + 460 0.437 * * [simplify]: Extracting #5: cost 131 inf + 12951 0.440 * * [simplify]: Extracting #6: cost 49 inf + 45746 0.445 * * [simplify]: Extracting #7: cost 1 inf + 66256 0.453 * * [simplify]: Extracting #8: cost 0 inf + 65919 0.460 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 0.460 * [simplify]: Simplified (2 1) to (λ (re im) (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) 0.460 * * * * [progress]: [ 11 / 34 ] simplifiying candidate # 0.460 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 0.460 * * [simplify]: iters left: 6 (8 enodes) 0.462 * * [simplify]: iters left: 5 (37 enodes) 0.469 * * [simplify]: iters left: 4 (67 enodes) 0.480 * * [simplify]: iters left: 3 (123 enodes) 0.528 * * [simplify]: iters left: 2 (278 enodes) 0.651 * * [simplify]: Extracting #0: cost 1 inf + 0 0.651 * * [simplify]: Extracting #1: cost 3 inf + 0 0.651 * * [simplify]: Extracting #2: cost 50 inf + 0 0.651 * * [simplify]: Extracting #3: cost 150 inf + 0 0.652 * * [simplify]: Extracting #4: cost 194 inf + 1180 0.655 * * [simplify]: Extracting #5: cost 123 inf + 12421 0.662 * * [simplify]: Extracting #6: cost 12 inf + 33804 0.670 * * [simplify]: Extracting #7: cost 0 inf + 36129 0.678 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 0.678 * [simplify]: Simplified (2 1) to (λ (re im) (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))))) 0.678 * * * * [progress]: [ 12 / 34 ] simplifiying candidate # 0.678 * [simplify]: Simplifying (+ (* re re) (* im im)) 0.678 * * [simplify]: iters left: 4 (5 enodes) 0.679 * * [simplify]: iters left: 3 (16 enodes) 0.681 * * [simplify]: Extracting #0: cost 1 inf + 0 0.681 * * [simplify]: Extracting #1: cost 4 inf + 0 0.681 * * [simplify]: Extracting #2: cost 8 inf + 0 0.681 * * [simplify]: Extracting #3: cost 4 inf + 84 0.681 * * [simplify]: Extracting #4: cost 0 inf + 410 0.682 * [simplify]: Simplified to (+ (* re re) (* im im)) 0.682 * [simplify]: Simplified (2 1) to (λ (re im) (pow (+ (* re re) (* im im)) (/ 1 2))) 0.682 * * * * [progress]: [ 13 / 34 ] simplifiying candidate # 0.682 * * * * [progress]: [ 14 / 34 ] simplifiying candidate # 0.682 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 0.682 * * [simplify]: iters left: 5 (6 enodes) 0.683 * * [simplify]: iters left: 4 (19 enodes) 0.687 * * [simplify]: Extracting #0: cost 1 inf + 0 0.687 * * [simplify]: Extracting #1: cost 3 inf + 0 0.687 * * [simplify]: Extracting #2: cost 6 inf + 0 0.687 * * [simplify]: Extracting #3: cost 10 inf + 0 0.688 * * [simplify]: Extracting #4: cost 6 inf + 84 0.688 * * [simplify]: Extracting #5: cost 0 inf + 734 0.688 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 0.688 * [simplify]: Simplified (2 1) to (λ (re im) (fabs (sqrt (+ (* re re) (* im im))))) 0.688 * * * * [progress]: [ 15 / 34 ] simplifiying candidate # 0.688 * * * * [progress]: [ 16 / 34 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))> 0.688 * * * * [progress]: [ 17 / 34 ] simplifiying candidate # 0.689 * [simplify]: Simplifying (* (exp (* re re)) (exp (* im im))) 0.689 * * [simplify]: iters left: 5 (7 enodes) 0.695 * * [simplify]: iters left: 4 (28 enodes) 0.702 * * [simplify]: iters left: 3 (43 enodes) 0.716 * * [simplify]: iters left: 2 (75 enodes) 0.743 * * [simplify]: iters left: 1 (169 enodes) 0.805 * * [simplify]: Extracting #0: cost 1 inf + 0 0.805 * * [simplify]: Extracting #1: cost 28 inf + 0 0.805 * * [simplify]: Extracting #2: cost 119 inf + 0 0.806 * * [simplify]: Extracting #3: cost 136 inf + 1135 0.806 * * [simplify]: Extracting #4: cost 131 inf + 1568 0.807 * * [simplify]: Extracting #5: cost 99 inf + 8302 0.812 * * [simplify]: Extracting #6: cost 11 inf + 60490 0.819 * * [simplify]: Extracting #7: cost 0 inf + 69564 0.827 * [simplify]: Simplified to (exp (+ (* re re) (* im im))) 0.827 * [simplify]: Simplified (2 1 1) to (λ (re im) (sqrt (log (exp (+ (* re re) (* im im)))))) 0.827 * * * * [progress]: [ 18 / 34 ] simplifiying candidate # 0.827 * * * * [progress]: [ 19 / 34 ] simplifiying candidate # 0.827 * * * * [progress]: [ 20 / 34 ] simplifiying candidate # 0.827 * * * * [progress]: [ 21 / 34 ] simplifiying candidate # 0.827 * * * * [progress]: [ 22 / 34 ] simplifiying candidate # 0.827 * * * * [progress]: [ 23 / 34 ] simplifiying candidate # 0.827 * * * * [progress]: [ 24 / 34 ] simplifiying candidate # 0.827 * * * * [progress]: [ 25 / 34 ] simplifiying candidate # 0.827 * * * * [progress]: [ 26 / 34 ] simplifiying candidate # 0.827 * * * * [progress]: [ 27 / 34 ] simplifiying candidate #real (real->posit16 (+ (* re re) (* im im))))))> 0.827 * * * * [progress]: [ 28 / 34 ] simplifiying candidate # 0.827 * * * * [progress]: [ 29 / 34 ] simplifiying candidate # 0.827 * [simplify]: Simplifying im 0.828 * * [simplify]: iters left: 0 (1 enodes) 0.828 * * [simplify]: Extracting #0: cost 1 inf + 0 0.828 * * [simplify]: Extracting #1: cost 0 inf + 1 0.828 * [simplify]: Simplified to im 0.828 * [simplify]: Simplified (2) to (λ (re im) im) 0.828 * * * * [progress]: [ 30 / 34 ] simplifiying candidate # 0.828 * [simplify]: Simplifying re 0.828 * * [simplify]: iters left: 0 (1 enodes) 0.828 * * [simplify]: Extracting #0: cost 1 inf + 0 0.828 * * [simplify]: Extracting #1: cost 0 inf + 1 0.828 * [simplify]: Simplified to re 0.828 * [simplify]: Simplified (2) to (λ (re im) re) 0.828 * * * * [progress]: [ 31 / 34 ] simplifiying candidate # 0.828 * [simplify]: Simplifying (* -1 re) 0.829 * * [simplify]: iters left: 2 (3 enodes) 0.830 * * [simplify]: iters left: 1 (11 enodes) 0.832 * * [simplify]: Extracting #0: cost 1 inf + 0 0.832 * * [simplify]: Extracting #1: cost 4 inf + 0 0.832 * * [simplify]: Extracting #2: cost 0 inf + 84 0.832 * [simplify]: Simplified to (- re) 0.832 * [simplify]: Simplified (2) to (λ (re im) (- re)) 0.832 * * * * [progress]: [ 32 / 34 ] simplifiying candidate # 0.832 * [simplify]: Simplifying (+ (pow im 2) (pow re 2)) 0.832 * * [simplify]: iters left: 3 (6 enodes) 0.836 * * [simplify]: iters left: 2 (27 enodes) 0.844 * * [simplify]: iters left: 1 (31 enodes) 0.851 * * [simplify]: Extracting #0: cost 1 inf + 0 0.851 * * [simplify]: Extracting #1: cost 4 inf + 0 0.852 * * [simplify]: Extracting #2: cost 9 inf + 0 0.852 * * [simplify]: Extracting #3: cost 6 inf + 3 0.852 * * [simplify]: Extracting #4: cost 1 inf + 370 0.852 * * [simplify]: Extracting #5: cost 0 inf + 411 0.852 * [simplify]: Simplified to (+ (* im im) (* re re)) 0.852 * [simplify]: Simplified (2 1) to (λ (re im) (sqrt (+ (* im im) (* re re)))) 0.852 * * * * [progress]: [ 33 / 34 ] simplifiying candidate # 0.853 * [simplify]: Simplifying (+ (pow im 2) (pow re 2)) 0.853 * * [simplify]: iters left: 3 (6 enodes) 0.856 * * [simplify]: iters left: 2 (27 enodes) 0.862 * * [simplify]: iters left: 1 (31 enodes) 0.866 * * [simplify]: Extracting #0: cost 1 inf + 0 0.866 * * [simplify]: Extracting #1: cost 4 inf + 0 0.866 * * [simplify]: Extracting #2: cost 9 inf + 0 0.866 * * [simplify]: Extracting #3: cost 6 inf + 3 0.866 * * [simplify]: Extracting #4: cost 1 inf + 370 0.867 * * [simplify]: Extracting #5: cost 0 inf + 411 0.867 * [simplify]: Simplified to (+ (* im im) (* re re)) 0.867 * [simplify]: Simplified (2 1) to (λ (re im) (sqrt (+ (* im im) (* re re)))) 0.867 * * * * [progress]: [ 34 / 34 ] simplifiying candidate # 0.867 * [simplify]: Simplifying (+ (pow im 2) (pow re 2)) 0.867 * * [simplify]: iters left: 3 (6 enodes) 0.869 * * [simplify]: iters left: 2 (27 enodes) 0.873 * * [simplify]: iters left: 1 (31 enodes) 0.879 * * [simplify]: Extracting #0: cost 1 inf + 0 0.879 * * [simplify]: Extracting #1: cost 4 inf + 0 0.879 * * [simplify]: Extracting #2: cost 9 inf + 0 0.879 * * [simplify]: Extracting #3: cost 6 inf + 3 0.879 * * [simplify]: Extracting #4: cost 1 inf + 370 0.879 * * [simplify]: Extracting #5: cost 0 inf + 411 0.879 * [simplify]: Simplified to (+ (* im im) (* re re)) 0.879 * [simplify]: Simplified (2 1) to (λ (re im) (sqrt (+ (* im im) (* re re)))) 0.880 * * * [progress]: adding candidates to table 1.097 * * [progress]: iteration 2 / 4 1.097 * * * [progress]: picking best candidate 1.110 * * * * [pick]: Picked # 1.110 * * * [progress]: localizing error 1.129 * * * [progress]: generating rewritten candidates 1.130 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 1.135 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 1.148 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1 1) 1.164 * * * [progress]: generating series expansions 1.164 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 1.164 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 1.164 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 1.164 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 1.164 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 1.164 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.164 * [taylor]: Taking taylor expansion of im in im 1.164 * [backup-simplify]: Simplify 0 into 0 1.164 * [backup-simplify]: Simplify 1 into 1 1.164 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.164 * [taylor]: Taking taylor expansion of re in im 1.165 * [backup-simplify]: Simplify re into re 1.165 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.165 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 1.165 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.165 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.166 * [backup-simplify]: Simplify (+ 0 0) into 0 1.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.166 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 1.166 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.166 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.166 * [taylor]: Taking taylor expansion of im in re 1.166 * [backup-simplify]: Simplify im into im 1.166 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.166 * [taylor]: Taking taylor expansion of re in re 1.166 * [backup-simplify]: Simplify 0 into 0 1.166 * [backup-simplify]: Simplify 1 into 1 1.166 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.166 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.166 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.166 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.167 * [backup-simplify]: Simplify (+ 0 0) into 0 1.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.167 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 1.167 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.167 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.167 * [taylor]: Taking taylor expansion of im in re 1.167 * [backup-simplify]: Simplify im into im 1.167 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.167 * [taylor]: Taking taylor expansion of re in re 1.167 * [backup-simplify]: Simplify 0 into 0 1.167 * [backup-simplify]: Simplify 1 into 1 1.167 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.168 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.168 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.168 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.168 * [backup-simplify]: Simplify (+ 0 0) into 0 1.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.168 * [taylor]: Taking taylor expansion of im in im 1.168 * [backup-simplify]: Simplify 0 into 0 1.169 * [backup-simplify]: Simplify 1 into 1 1.169 * [backup-simplify]: Simplify 0 into 0 1.169 * [taylor]: Taking taylor expansion of 0 in im 1.169 * [backup-simplify]: Simplify 0 into 0 1.169 * [backup-simplify]: Simplify 0 into 0 1.169 * [backup-simplify]: Simplify 1 into 1 1.169 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.170 * [backup-simplify]: Simplify (* 1 1) into 1 1.170 * [backup-simplify]: Simplify (+ 0 1) into 1 1.171 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.171 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.171 * [taylor]: Taking taylor expansion of 1/2 in im 1.171 * [backup-simplify]: Simplify 1/2 into 1/2 1.171 * [taylor]: Taking taylor expansion of im in im 1.171 * [backup-simplify]: Simplify 0 into 0 1.171 * [backup-simplify]: Simplify 1 into 1 1.172 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.173 * [backup-simplify]: Simplify 0 into 0 1.173 * [backup-simplify]: Simplify 0 into 0 1.173 * [backup-simplify]: Simplify 0 into 0 1.174 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.175 * [backup-simplify]: Simplify (+ 0 0) into 0 1.175 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.175 * [taylor]: Taking taylor expansion of 0 in im 1.175 * [backup-simplify]: Simplify 0 into 0 1.175 * [backup-simplify]: Simplify 0 into 0 1.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.176 * [backup-simplify]: Simplify 0 into 0 1.176 * [backup-simplify]: Simplify 0 into 0 1.177 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.177 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 1.177 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 1.177 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.177 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.177 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.177 * [taylor]: Taking taylor expansion of re in im 1.177 * [backup-simplify]: Simplify re into re 1.177 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.177 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.177 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.177 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.177 * [taylor]: Taking taylor expansion of im in im 1.177 * [backup-simplify]: Simplify 0 into 0 1.177 * [backup-simplify]: Simplify 1 into 1 1.178 * [backup-simplify]: Simplify (* 1 1) into 1 1.178 * [backup-simplify]: Simplify (/ 1 1) into 1 1.179 * [backup-simplify]: Simplify (+ 0 1) into 1 1.179 * [backup-simplify]: Simplify (sqrt 1) into 1 1.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.181 * [backup-simplify]: Simplify (+ 0 0) into 0 1.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.182 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.182 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.182 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.182 * [taylor]: Taking taylor expansion of re in re 1.182 * [backup-simplify]: Simplify 0 into 0 1.182 * [backup-simplify]: Simplify 1 into 1 1.183 * [backup-simplify]: Simplify (* 1 1) into 1 1.183 * [backup-simplify]: Simplify (/ 1 1) into 1 1.183 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.183 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.183 * [taylor]: Taking taylor expansion of im in re 1.183 * [backup-simplify]: Simplify im into im 1.183 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.183 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.184 * [backup-simplify]: Simplify (+ 1 0) into 1 1.184 * [backup-simplify]: Simplify (sqrt 1) into 1 1.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.186 * [backup-simplify]: Simplify (+ 0 0) into 0 1.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.187 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.187 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.187 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.187 * [taylor]: Taking taylor expansion of re in re 1.187 * [backup-simplify]: Simplify 0 into 0 1.187 * [backup-simplify]: Simplify 1 into 1 1.188 * [backup-simplify]: Simplify (* 1 1) into 1 1.188 * [backup-simplify]: Simplify (/ 1 1) into 1 1.188 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.188 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.188 * [taylor]: Taking taylor expansion of im in re 1.188 * [backup-simplify]: Simplify im into im 1.188 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.188 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.189 * [backup-simplify]: Simplify (+ 1 0) into 1 1.189 * [backup-simplify]: Simplify (sqrt 1) into 1 1.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.191 * [backup-simplify]: Simplify (+ 0 0) into 0 1.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.192 * [taylor]: Taking taylor expansion of 1 in im 1.193 * [backup-simplify]: Simplify 1 into 1 1.193 * [taylor]: Taking taylor expansion of 0 in im 1.193 * [backup-simplify]: Simplify 0 into 0 1.193 * [backup-simplify]: Simplify 1 into 1 1.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.195 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.196 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.196 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.196 * [taylor]: Taking taylor expansion of 1/2 in im 1.196 * [backup-simplify]: Simplify 1/2 into 1/2 1.196 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.196 * [taylor]: Taking taylor expansion of im in im 1.196 * [backup-simplify]: Simplify 0 into 0 1.196 * [backup-simplify]: Simplify 1 into 1 1.196 * [backup-simplify]: Simplify (* 1 1) into 1 1.196 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.197 * [backup-simplify]: Simplify 0 into 0 1.197 * [backup-simplify]: Simplify 0 into 0 1.197 * [backup-simplify]: Simplify 0 into 0 1.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.199 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.199 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.199 * [backup-simplify]: Simplify (+ 0 0) into 0 1.199 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.199 * [taylor]: Taking taylor expansion of 0 in im 1.199 * [backup-simplify]: Simplify 0 into 0 1.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.201 * [backup-simplify]: Simplify 0 into 0 1.201 * [backup-simplify]: Simplify 0 into 0 1.201 * [backup-simplify]: Simplify 0 into 0 1.201 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.201 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 1.201 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 1.201 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.201 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.201 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.201 * [taylor]: Taking taylor expansion of re in im 1.201 * [backup-simplify]: Simplify re into re 1.201 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.201 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.201 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.201 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.201 * [taylor]: Taking taylor expansion of im in im 1.201 * [backup-simplify]: Simplify 0 into 0 1.201 * [backup-simplify]: Simplify 1 into 1 1.201 * [backup-simplify]: Simplify (* 1 1) into 1 1.202 * [backup-simplify]: Simplify (/ 1 1) into 1 1.202 * [backup-simplify]: Simplify (+ 0 1) into 1 1.202 * [backup-simplify]: Simplify (sqrt 1) into 1 1.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.203 * [backup-simplify]: Simplify (+ 0 0) into 0 1.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.204 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.204 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.204 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.204 * [taylor]: Taking taylor expansion of re in re 1.204 * [backup-simplify]: Simplify 0 into 0 1.204 * [backup-simplify]: Simplify 1 into 1 1.204 * [backup-simplify]: Simplify (* 1 1) into 1 1.204 * [backup-simplify]: Simplify (/ 1 1) into 1 1.204 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.204 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.204 * [taylor]: Taking taylor expansion of im in re 1.204 * [backup-simplify]: Simplify im into im 1.204 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.204 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.205 * [backup-simplify]: Simplify (+ 1 0) into 1 1.205 * [backup-simplify]: Simplify (sqrt 1) into 1 1.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.206 * [backup-simplify]: Simplify (+ 0 0) into 0 1.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.206 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.206 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.206 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.206 * [taylor]: Taking taylor expansion of re in re 1.206 * [backup-simplify]: Simplify 0 into 0 1.207 * [backup-simplify]: Simplify 1 into 1 1.207 * [backup-simplify]: Simplify (* 1 1) into 1 1.207 * [backup-simplify]: Simplify (/ 1 1) into 1 1.207 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.207 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.207 * [taylor]: Taking taylor expansion of im in re 1.207 * [backup-simplify]: Simplify im into im 1.207 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.207 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.207 * [backup-simplify]: Simplify (+ 1 0) into 1 1.208 * [backup-simplify]: Simplify (sqrt 1) into 1 1.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.209 * [backup-simplify]: Simplify (+ 0 0) into 0 1.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.209 * [taylor]: Taking taylor expansion of 1 in im 1.209 * [backup-simplify]: Simplify 1 into 1 1.209 * [taylor]: Taking taylor expansion of 0 in im 1.209 * [backup-simplify]: Simplify 0 into 0 1.209 * [backup-simplify]: Simplify 1 into 1 1.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.210 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.211 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.211 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.211 * [taylor]: Taking taylor expansion of 1/2 in im 1.211 * [backup-simplify]: Simplify 1/2 into 1/2 1.211 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.211 * [taylor]: Taking taylor expansion of im in im 1.211 * [backup-simplify]: Simplify 0 into 0 1.211 * [backup-simplify]: Simplify 1 into 1 1.211 * [backup-simplify]: Simplify (* 1 1) into 1 1.212 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.213 * [backup-simplify]: Simplify 0 into 0 1.213 * [backup-simplify]: Simplify 0 into 0 1.213 * [backup-simplify]: Simplify 0 into 0 1.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.214 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.214 * [backup-simplify]: Simplify (+ 0 0) into 0 1.215 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.215 * [taylor]: Taking taylor expansion of 0 in im 1.215 * [backup-simplify]: Simplify 0 into 0 1.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.216 * [backup-simplify]: Simplify 0 into 0 1.216 * [backup-simplify]: Simplify 0 into 0 1.216 * [backup-simplify]: Simplify 0 into 0 1.216 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.216 * * * * [progress]: [ 2 / 3 ] generating series at (2) 1.216 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow im 2) (pow re 2))) 1.216 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 1.216 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 1.216 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 1.216 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.216 * [taylor]: Taking taylor expansion of im in im 1.216 * [backup-simplify]: Simplify 0 into 0 1.216 * [backup-simplify]: Simplify 1 into 1 1.216 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.216 * [taylor]: Taking taylor expansion of re in im 1.216 * [backup-simplify]: Simplify re into re 1.216 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.216 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 1.217 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.217 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.217 * [backup-simplify]: Simplify (+ 0 0) into 0 1.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.217 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 1.217 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.217 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.217 * [taylor]: Taking taylor expansion of im in re 1.217 * [backup-simplify]: Simplify im into im 1.217 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.217 * [taylor]: Taking taylor expansion of re in re 1.217 * [backup-simplify]: Simplify 0 into 0 1.217 * [backup-simplify]: Simplify 1 into 1 1.217 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.217 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.217 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.217 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.217 * [backup-simplify]: Simplify (+ 0 0) into 0 1.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.218 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 1.218 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.218 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.218 * [taylor]: Taking taylor expansion of im in re 1.218 * [backup-simplify]: Simplify im into im 1.218 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.218 * [taylor]: Taking taylor expansion of re in re 1.218 * [backup-simplify]: Simplify 0 into 0 1.218 * [backup-simplify]: Simplify 1 into 1 1.218 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.218 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.218 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.218 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.218 * [backup-simplify]: Simplify (+ 0 0) into 0 1.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.218 * [taylor]: Taking taylor expansion of im in im 1.218 * [backup-simplify]: Simplify 0 into 0 1.218 * [backup-simplify]: Simplify 1 into 1 1.218 * [backup-simplify]: Simplify 0 into 0 1.218 * [taylor]: Taking taylor expansion of 0 in im 1.218 * [backup-simplify]: Simplify 0 into 0 1.218 * [backup-simplify]: Simplify 0 into 0 1.218 * [backup-simplify]: Simplify 1 into 1 1.219 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.219 * [backup-simplify]: Simplify (* 1 1) into 1 1.219 * [backup-simplify]: Simplify (+ 0 1) into 1 1.220 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.220 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.220 * [taylor]: Taking taylor expansion of 1/2 in im 1.220 * [backup-simplify]: Simplify 1/2 into 1/2 1.220 * [taylor]: Taking taylor expansion of im in im 1.220 * [backup-simplify]: Simplify 0 into 0 1.220 * [backup-simplify]: Simplify 1 into 1 1.220 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.221 * [backup-simplify]: Simplify 0 into 0 1.221 * [backup-simplify]: Simplify 0 into 0 1.221 * [backup-simplify]: Simplify 0 into 0 1.221 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.222 * [backup-simplify]: Simplify (+ 0 0) into 0 1.222 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.222 * [taylor]: Taking taylor expansion of 0 in im 1.222 * [backup-simplify]: Simplify 0 into 0 1.222 * [backup-simplify]: Simplify 0 into 0 1.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.223 * [backup-simplify]: Simplify 0 into 0 1.223 * [backup-simplify]: Simplify 0 into 0 1.223 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.223 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 1.223 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 1.223 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.223 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.223 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.223 * [taylor]: Taking taylor expansion of re in im 1.223 * [backup-simplify]: Simplify re into re 1.223 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.223 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.223 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.223 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.223 * [taylor]: Taking taylor expansion of im in im 1.223 * [backup-simplify]: Simplify 0 into 0 1.223 * [backup-simplify]: Simplify 1 into 1 1.223 * [backup-simplify]: Simplify (* 1 1) into 1 1.224 * [backup-simplify]: Simplify (/ 1 1) into 1 1.224 * [backup-simplify]: Simplify (+ 0 1) into 1 1.224 * [backup-simplify]: Simplify (sqrt 1) into 1 1.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.225 * [backup-simplify]: Simplify (+ 0 0) into 0 1.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.226 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.226 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.226 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.226 * [taylor]: Taking taylor expansion of re in re 1.226 * [backup-simplify]: Simplify 0 into 0 1.226 * [backup-simplify]: Simplify 1 into 1 1.226 * [backup-simplify]: Simplify (* 1 1) into 1 1.226 * [backup-simplify]: Simplify (/ 1 1) into 1 1.226 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.226 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.226 * [taylor]: Taking taylor expansion of im in re 1.226 * [backup-simplify]: Simplify im into im 1.226 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.226 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.227 * [backup-simplify]: Simplify (+ 1 0) into 1 1.227 * [backup-simplify]: Simplify (sqrt 1) into 1 1.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.228 * [backup-simplify]: Simplify (+ 0 0) into 0 1.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.229 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.229 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.229 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.229 * [taylor]: Taking taylor expansion of re in re 1.229 * [backup-simplify]: Simplify 0 into 0 1.229 * [backup-simplify]: Simplify 1 into 1 1.229 * [backup-simplify]: Simplify (* 1 1) into 1 1.229 * [backup-simplify]: Simplify (/ 1 1) into 1 1.230 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.230 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.230 * [taylor]: Taking taylor expansion of im in re 1.230 * [backup-simplify]: Simplify im into im 1.230 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.230 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.230 * [backup-simplify]: Simplify (+ 1 0) into 1 1.231 * [backup-simplify]: Simplify (sqrt 1) into 1 1.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.232 * [backup-simplify]: Simplify (+ 0 0) into 0 1.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.233 * [taylor]: Taking taylor expansion of 1 in im 1.233 * [backup-simplify]: Simplify 1 into 1 1.233 * [taylor]: Taking taylor expansion of 0 in im 1.233 * [backup-simplify]: Simplify 0 into 0 1.233 * [backup-simplify]: Simplify 1 into 1 1.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.234 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.235 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.235 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.235 * [taylor]: Taking taylor expansion of 1/2 in im 1.235 * [backup-simplify]: Simplify 1/2 into 1/2 1.235 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.235 * [taylor]: Taking taylor expansion of im in im 1.235 * [backup-simplify]: Simplify 0 into 0 1.235 * [backup-simplify]: Simplify 1 into 1 1.235 * [backup-simplify]: Simplify (* 1 1) into 1 1.235 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.236 * [backup-simplify]: Simplify 0 into 0 1.236 * [backup-simplify]: Simplify 0 into 0 1.236 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.238 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.238 * [backup-simplify]: Simplify (+ 0 0) into 0 1.238 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.238 * [taylor]: Taking taylor expansion of 0 in im 1.238 * [backup-simplify]: Simplify 0 into 0 1.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.239 * [backup-simplify]: Simplify 0 into 0 1.239 * [backup-simplify]: Simplify 0 into 0 1.240 * [backup-simplify]: Simplify 0 into 0 1.240 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.240 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 1.240 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 1.240 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.240 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.240 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.240 * [taylor]: Taking taylor expansion of re in im 1.240 * [backup-simplify]: Simplify re into re 1.240 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.240 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.240 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.240 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.240 * [taylor]: Taking taylor expansion of im in im 1.240 * [backup-simplify]: Simplify 0 into 0 1.240 * [backup-simplify]: Simplify 1 into 1 1.240 * [backup-simplify]: Simplify (* 1 1) into 1 1.241 * [backup-simplify]: Simplify (/ 1 1) into 1 1.241 * [backup-simplify]: Simplify (+ 0 1) into 1 1.241 * [backup-simplify]: Simplify (sqrt 1) into 1 1.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.242 * [backup-simplify]: Simplify (+ 0 0) into 0 1.243 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.243 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.243 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.243 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.243 * [taylor]: Taking taylor expansion of re in re 1.243 * [backup-simplify]: Simplify 0 into 0 1.243 * [backup-simplify]: Simplify 1 into 1 1.243 * [backup-simplify]: Simplify (* 1 1) into 1 1.244 * [backup-simplify]: Simplify (/ 1 1) into 1 1.244 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.244 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.244 * [taylor]: Taking taylor expansion of im in re 1.244 * [backup-simplify]: Simplify im into im 1.244 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.244 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.244 * [backup-simplify]: Simplify (+ 1 0) into 1 1.244 * [backup-simplify]: Simplify (sqrt 1) into 1 1.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.245 * [backup-simplify]: Simplify (+ 0 0) into 0 1.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.246 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.246 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.246 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.246 * [taylor]: Taking taylor expansion of re in re 1.246 * [backup-simplify]: Simplify 0 into 0 1.246 * [backup-simplify]: Simplify 1 into 1 1.246 * [backup-simplify]: Simplify (* 1 1) into 1 1.246 * [backup-simplify]: Simplify (/ 1 1) into 1 1.246 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.246 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.246 * [taylor]: Taking taylor expansion of im in re 1.246 * [backup-simplify]: Simplify im into im 1.246 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.247 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.247 * [backup-simplify]: Simplify (+ 1 0) into 1 1.247 * [backup-simplify]: Simplify (sqrt 1) into 1 1.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.248 * [backup-simplify]: Simplify (+ 0 0) into 0 1.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.249 * [taylor]: Taking taylor expansion of 1 in im 1.249 * [backup-simplify]: Simplify 1 into 1 1.249 * [taylor]: Taking taylor expansion of 0 in im 1.249 * [backup-simplify]: Simplify 0 into 0 1.249 * [backup-simplify]: Simplify 1 into 1 1.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.250 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.251 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.251 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.251 * [taylor]: Taking taylor expansion of 1/2 in im 1.251 * [backup-simplify]: Simplify 1/2 into 1/2 1.251 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.251 * [taylor]: Taking taylor expansion of im in im 1.251 * [backup-simplify]: Simplify 0 into 0 1.251 * [backup-simplify]: Simplify 1 into 1 1.251 * [backup-simplify]: Simplify (* 1 1) into 1 1.251 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.252 * [backup-simplify]: Simplify 0 into 0 1.252 * [backup-simplify]: Simplify 0 into 0 1.252 * [backup-simplify]: Simplify 0 into 0 1.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.254 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.254 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.254 * [backup-simplify]: Simplify (+ 0 0) into 0 1.254 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.254 * [taylor]: Taking taylor expansion of 0 in im 1.254 * [backup-simplify]: Simplify 0 into 0 1.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.256 * [backup-simplify]: Simplify 0 into 0 1.256 * [backup-simplify]: Simplify 0 into 0 1.256 * [backup-simplify]: Simplify 0 into 0 1.256 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.256 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1 1) 1.256 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2)) 1.256 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0 1.256 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 1.256 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.256 * [taylor]: Taking taylor expansion of im in im 1.256 * [backup-simplify]: Simplify 0 into 0 1.256 * [backup-simplify]: Simplify 1 into 1 1.256 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.256 * [taylor]: Taking taylor expansion of re in im 1.256 * [backup-simplify]: Simplify re into re 1.256 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.256 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.256 * [taylor]: Taking taylor expansion of im in re 1.256 * [backup-simplify]: Simplify im into im 1.256 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.256 * [taylor]: Taking taylor expansion of re in re 1.256 * [backup-simplify]: Simplify 0 into 0 1.256 * [backup-simplify]: Simplify 1 into 1 1.256 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.256 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.256 * [taylor]: Taking taylor expansion of im in re 1.256 * [backup-simplify]: Simplify im into im 1.256 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.256 * [taylor]: Taking taylor expansion of re in re 1.256 * [backup-simplify]: Simplify 0 into 0 1.256 * [backup-simplify]: Simplify 1 into 1 1.256 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.256 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.256 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.256 * [taylor]: Taking taylor expansion of im in im 1.256 * [backup-simplify]: Simplify 0 into 0 1.256 * [backup-simplify]: Simplify 1 into 1 1.257 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.257 * [backup-simplify]: Simplify (+ 0 0) into 0 1.257 * [taylor]: Taking taylor expansion of 0 in im 1.257 * [backup-simplify]: Simplify 0 into 0 1.257 * [backup-simplify]: Simplify 0 into 0 1.257 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.260 * [backup-simplify]: Simplify (* 1 1) into 1 1.260 * [backup-simplify]: Simplify (+ 0 1) into 1 1.260 * [taylor]: Taking taylor expansion of 1 in im 1.260 * [backup-simplify]: Simplify 1 into 1 1.260 * [backup-simplify]: Simplify 1 into 1 1.260 * [backup-simplify]: Simplify 0 into 0 1.260 * [backup-simplify]: Simplify (* 1 1) into 1 1.260 * [backup-simplify]: Simplify 1 into 1 1.261 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.262 * [backup-simplify]: Simplify (+ 0 0) into 0 1.262 * [taylor]: Taking taylor expansion of 0 in im 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.262 * [backup-simplify]: Simplify 0 into 0 1.263 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 1.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.264 * [backup-simplify]: Simplify (+ 0 0) into 0 1.264 * [taylor]: Taking taylor expansion of 0 in im 1.264 * [backup-simplify]: Simplify 0 into 0 1.264 * [backup-simplify]: Simplify 0 into 0 1.264 * [backup-simplify]: Simplify 0 into 0 1.264 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2)) 1.265 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1.265 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 1.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.265 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.265 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.265 * [taylor]: Taking taylor expansion of re in im 1.265 * [backup-simplify]: Simplify re into re 1.265 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.265 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.265 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.265 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.265 * [taylor]: Taking taylor expansion of im in im 1.265 * [backup-simplify]: Simplify 0 into 0 1.265 * [backup-simplify]: Simplify 1 into 1 1.265 * [backup-simplify]: Simplify (* 1 1) into 1 1.265 * [backup-simplify]: Simplify (/ 1 1) into 1 1.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.265 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.266 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.266 * [taylor]: Taking taylor expansion of re in re 1.266 * [backup-simplify]: Simplify 0 into 0 1.266 * [backup-simplify]: Simplify 1 into 1 1.266 * [backup-simplify]: Simplify (* 1 1) into 1 1.266 * [backup-simplify]: Simplify (/ 1 1) into 1 1.266 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.266 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.266 * [taylor]: Taking taylor expansion of im in re 1.266 * [backup-simplify]: Simplify im into im 1.266 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.266 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.266 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.266 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.266 * [taylor]: Taking taylor expansion of re in re 1.266 * [backup-simplify]: Simplify 0 into 0 1.266 * [backup-simplify]: Simplify 1 into 1 1.267 * [backup-simplify]: Simplify (* 1 1) into 1 1.267 * [backup-simplify]: Simplify (/ 1 1) into 1 1.267 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.267 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.267 * [taylor]: Taking taylor expansion of im in re 1.267 * [backup-simplify]: Simplify im into im 1.267 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.267 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.267 * [backup-simplify]: Simplify (+ 1 0) into 1 1.267 * [taylor]: Taking taylor expansion of 1 in im 1.267 * [backup-simplify]: Simplify 1 into 1 1.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.268 * [backup-simplify]: Simplify (+ 0 0) into 0 1.268 * [taylor]: Taking taylor expansion of 0 in im 1.268 * [backup-simplify]: Simplify 0 into 0 1.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.270 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.270 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.270 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.270 * [taylor]: Taking taylor expansion of im in im 1.270 * [backup-simplify]: Simplify 0 into 0 1.270 * [backup-simplify]: Simplify 1 into 1 1.270 * [backup-simplify]: Simplify (* 1 1) into 1 1.270 * [backup-simplify]: Simplify (/ 1 1) into 1 1.270 * [backup-simplify]: Simplify 1 into 1 1.270 * [backup-simplify]: Simplify 1 into 1 1.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.271 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.272 * [backup-simplify]: Simplify (+ 0 0) into 0 1.272 * [taylor]: Taking taylor expansion of 0 in im 1.272 * [backup-simplify]: Simplify 0 into 0 1.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.273 * [backup-simplify]: Simplify 0 into 0 1.273 * [backup-simplify]: Simplify 0 into 0 1.273 * [backup-simplify]: Simplify 0 into 0 1.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.274 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 1.275 * [backup-simplify]: Simplify (+ 0 0) into 0 1.275 * [taylor]: Taking taylor expansion of 0 in im 1.275 * [backup-simplify]: Simplify 0 into 0 1.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.276 * [backup-simplify]: Simplify 0 into 0 1.276 * [backup-simplify]: Simplify 0 into 0 1.276 * [backup-simplify]: Simplify 0 into 0 1.276 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2)) 1.276 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1.276 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 1.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.276 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.276 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.276 * [taylor]: Taking taylor expansion of re in im 1.276 * [backup-simplify]: Simplify re into re 1.276 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.276 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.276 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.276 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.276 * [taylor]: Taking taylor expansion of im in im 1.276 * [backup-simplify]: Simplify 0 into 0 1.276 * [backup-simplify]: Simplify 1 into 1 1.277 * [backup-simplify]: Simplify (* 1 1) into 1 1.277 * [backup-simplify]: Simplify (/ 1 1) into 1 1.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.277 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.277 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.277 * [taylor]: Taking taylor expansion of re in re 1.277 * [backup-simplify]: Simplify 0 into 0 1.277 * [backup-simplify]: Simplify 1 into 1 1.277 * [backup-simplify]: Simplify (* 1 1) into 1 1.277 * [backup-simplify]: Simplify (/ 1 1) into 1 1.277 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.278 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.278 * [taylor]: Taking taylor expansion of im in re 1.278 * [backup-simplify]: Simplify im into im 1.278 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.278 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.278 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.278 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.278 * [taylor]: Taking taylor expansion of re in re 1.278 * [backup-simplify]: Simplify 0 into 0 1.278 * [backup-simplify]: Simplify 1 into 1 1.278 * [backup-simplify]: Simplify (* 1 1) into 1 1.278 * [backup-simplify]: Simplify (/ 1 1) into 1 1.278 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.278 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.278 * [taylor]: Taking taylor expansion of im in re 1.278 * [backup-simplify]: Simplify im into im 1.278 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.278 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.279 * [backup-simplify]: Simplify (+ 1 0) into 1 1.279 * [taylor]: Taking taylor expansion of 1 in im 1.279 * [backup-simplify]: Simplify 1 into 1 1.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.280 * [backup-simplify]: Simplify (+ 0 0) into 0 1.280 * [taylor]: Taking taylor expansion of 0 in im 1.280 * [backup-simplify]: Simplify 0 into 0 1.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.281 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.281 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.281 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.281 * [taylor]: Taking taylor expansion of im in im 1.281 * [backup-simplify]: Simplify 0 into 0 1.281 * [backup-simplify]: Simplify 1 into 1 1.282 * [backup-simplify]: Simplify (* 1 1) into 1 1.282 * [backup-simplify]: Simplify (/ 1 1) into 1 1.282 * [backup-simplify]: Simplify 1 into 1 1.282 * [backup-simplify]: Simplify 1 into 1 1.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.283 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.283 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.284 * [backup-simplify]: Simplify (+ 0 0) into 0 1.284 * [taylor]: Taking taylor expansion of 0 in im 1.284 * [backup-simplify]: Simplify 0 into 0 1.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.284 * [backup-simplify]: Simplify 0 into 0 1.284 * [backup-simplify]: Simplify 0 into 0 1.285 * [backup-simplify]: Simplify 0 into 0 1.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.286 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.286 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 1.286 * [backup-simplify]: Simplify (+ 0 0) into 0 1.286 * [taylor]: Taking taylor expansion of 0 in im 1.286 * [backup-simplify]: Simplify 0 into 0 1.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.287 * [backup-simplify]: Simplify 0 into 0 1.288 * [backup-simplify]: Simplify 0 into 0 1.288 * [backup-simplify]: Simplify 0 into 0 1.288 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2)) 1.288 * * * [progress]: simplifying candidates 1.288 * * * * [progress]: [ 1 / 60 ] simplifiying candidate # 1.288 * * * * [progress]: [ 2 / 60 ] simplifiying candidate # 1.288 * * * * [progress]: [ 3 / 60 ] simplifiying candidate # 1.288 * * * * [progress]: [ 4 / 60 ] simplifiying candidate # 1.288 * * * * [progress]: [ 5 / 60 ] simplifiying candidate # 1.288 * * * * [progress]: [ 6 / 60 ] simplifiying candidate # 1.288 * * * * [progress]: [ 7 / 60 ] simplifiying candidate # 1.288 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 1.288 * * [simplify]: iters left: 6 (8 enodes) 1.290 * * [simplify]: iters left: 5 (26 enodes) 1.293 * * [simplify]: Extracting #0: cost 1 inf + 0 1.293 * * [simplify]: Extracting #1: cost 4 inf + 0 1.293 * * [simplify]: Extracting #2: cost 7 inf + 0 1.294 * * [simplify]: Extracting #3: cost 10 inf + 0 1.294 * * [simplify]: Extracting #4: cost 14 inf + 0 1.294 * * [simplify]: Extracting #5: cost 10 inf + 84 1.294 * * [simplify]: Extracting #6: cost 8 inf + 166 1.294 * * [simplify]: Extracting #7: cost 4 inf + 854 1.294 * * [simplify]: Extracting #8: cost 1 inf + 1540 1.294 * * [simplify]: Extracting #9: cost 0 inf + 1782 1.295 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 1.295 * [simplify]: Simplified (2 1 1 1) to (λ (re im) (exp (log (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))))) 1.295 * * * * [progress]: [ 8 / 60 ] simplifiying candidate # 1.295 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 1.295 * * [simplify]: iters left: 6 (7 enodes) 1.296 * * [simplify]: iters left: 5 (22 enodes) 1.299 * * [simplify]: Extracting #0: cost 1 inf + 0 1.299 * * [simplify]: Extracting #1: cost 3 inf + 0 1.299 * * [simplify]: Extracting #2: cost 5 inf + 0 1.299 * * [simplify]: Extracting #3: cost 8 inf + 0 1.299 * * [simplify]: Extracting #4: cost 12 inf + 0 1.299 * * [simplify]: Extracting #5: cost 10 inf + 2 1.300 * * [simplify]: Extracting #6: cost 1 inf + 936 1.300 * * [simplify]: Extracting #7: cost 0 inf + 1138 1.300 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 1.300 * [simplify]: Simplified (2 1 1 1) to (λ (re im) (exp (log (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))))) 1.300 * * * * [progress]: [ 9 / 60 ] simplifiying candidate # 1.300 * [simplify]: Simplifying (sqrt 1) 1.300 * * [simplify]: iters left: 1 (2 enodes) 1.302 * * [simplify]: Extracting #0: cost 1 inf + 0 1.302 * * [simplify]: Extracting #1: cost 0 inf + 1 1.302 * [simplify]: Simplified to 1 1.302 * [simplify]: Simplified (2 1 1 1) to (λ (re im) (exp (log (* 1 (sqrt (+ (* re re) (* im im))))))) 1.302 * * * * [progress]: [ 10 / 60 ] simplifiying candidate # 1.302 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 1.302 * * [simplify]: iters left: 6 (9 enodes) 1.305 * * [simplify]: iters left: 5 (45 enodes) 1.316 * * [simplify]: iters left: 4 (100 enodes) 1.338 * * [simplify]: iters left: 3 (201 enodes) 1.383 * * [simplify]: iters left: 2 (406 enodes) 1.505 * * [simplify]: Extracting #0: cost 1 inf + 0 1.505 * * [simplify]: Extracting #1: cost 3 inf + 0 1.505 * * [simplify]: Extracting #2: cost 6 inf + 0 1.505 * * [simplify]: Extracting #3: cost 62 inf + 0 1.506 * * [simplify]: Extracting #4: cost 166 inf + 460 1.509 * * [simplify]: Extracting #5: cost 131 inf + 12951 1.516 * * [simplify]: Extracting #6: cost 49 inf + 45746 1.527 * * [simplify]: Extracting #7: cost 1 inf + 66256 1.535 * * [simplify]: Extracting #8: cost 0 inf + 65919 1.540 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 1.540 * [simplify]: Simplified (2 1 1 1) to (λ (re im) (exp (log (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))))) 1.540 * * * * [progress]: [ 11 / 60 ] simplifiying candidate # 1.540 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 1.540 * * [simplify]: iters left: 6 (8 enodes) 1.542 * * [simplify]: iters left: 5 (37 enodes) 1.549 * * [simplify]: iters left: 4 (67 enodes) 1.561 * * [simplify]: iters left: 3 (123 enodes) 1.613 * * [simplify]: iters left: 2 (278 enodes) 1.731 * * [simplify]: Extracting #0: cost 1 inf + 0 1.731 * * [simplify]: Extracting #1: cost 3 inf + 0 1.731 * * [simplify]: Extracting #2: cost 50 inf + 0 1.732 * * [simplify]: Extracting #3: cost 150 inf + 0 1.734 * * [simplify]: Extracting #4: cost 194 inf + 1180 1.738 * * [simplify]: Extracting #5: cost 123 inf + 12421 1.750 * * [simplify]: Extracting #6: cost 12 inf + 33804 1.760 * * [simplify]: Extracting #7: cost 0 inf + 36129 1.768 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 1.768 * [simplify]: Simplified (2 1 1 1) to (λ (re im) (exp (log (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))))))) 1.768 * * * * [progress]: [ 12 / 60 ] simplifiying candidate # 1.768 * [simplify]: Simplifying (+ (* re re) (* im im)) 1.768 * * [simplify]: iters left: 4 (5 enodes) 1.769 * * [simplify]: iters left: 3 (16 enodes) 1.771 * * [simplify]: Extracting #0: cost 1 inf + 0 1.771 * * [simplify]: Extracting #1: cost 4 inf + 0 1.771 * * [simplify]: Extracting #2: cost 8 inf + 0 1.771 * * [simplify]: Extracting #3: cost 4 inf + 84 1.771 * * [simplify]: Extracting #4: cost 0 inf + 410 1.774 * [simplify]: Simplified to (+ (* re re) (* im im)) 1.774 * [simplify]: Simplified (2 1 1 1) to (λ (re im) (exp (log (pow (+ (* re re) (* im im)) (/ 1 2))))) 1.774 * * * * [progress]: [ 13 / 60 ] simplifiying candidate # 1.774 * * * * [progress]: [ 14 / 60 ] simplifiying candidate # 1.774 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 1.774 * * [simplify]: iters left: 5 (6 enodes) 1.775 * * [simplify]: iters left: 4 (19 enodes) 1.778 * * [simplify]: Extracting #0: cost 1 inf + 0 1.778 * * [simplify]: Extracting #1: cost 3 inf + 0 1.778 * * [simplify]: Extracting #2: cost 6 inf + 0 1.778 * * [simplify]: Extracting #3: cost 10 inf + 0 1.778 * * [simplify]: Extracting #4: cost 6 inf + 84 1.778 * * [simplify]: Extracting #5: cost 0 inf + 734 1.778 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 1.778 * [simplify]: Simplified (2 1 1 1) to (λ (re im) (exp (log (fabs (sqrt (+ (* re re) (* im im))))))) 1.778 * * * * [progress]: [ 15 / 60 ] simplifiying candidate # 1.778 * * * * [progress]: [ 16 / 60 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))))> 1.779 * * * * [progress]: [ 17 / 60 ] simplifiying candidate # 1.779 * * * * [progress]: [ 18 / 60 ] simplifiying candidate # 1.779 * [simplify]: Simplifying (exp 1/2) 1.779 * * [simplify]: iters left: 1 (2 enodes) 1.780 * * [simplify]: Extracting #0: cost 1 inf + 0 1.780 * * [simplify]: Extracting #1: cost 3 inf + 0 1.780 * * [simplify]: Extracting #2: cost 2 inf + 1 1.780 * * [simplify]: Extracting #3: cost 0 inf + 143 1.780 * [simplify]: Simplified to (exp 1/2) 1.780 * [simplify]: Simplified (2 1) to (λ (re im) (pow (exp 1/2) (log (+ (* re re) (* im im))))) 1.780 * * * * [progress]: [ 19 / 60 ] simplifiying candidate # 1.780 * [simplify]: Simplifying (exp 1) 1.780 * * [simplify]: iters left: 1 (2 enodes) 1.781 * * [simplify]: Extracting #0: cost 1 inf + 0 1.781 * * [simplify]: Extracting #1: cost 0 inf + 1 1.781 * [simplify]: Simplified to E 1.781 * [simplify]: Simplified (2 1) to (λ (re im) (pow E (log (sqrt (+ (* re re) (* im im)))))) 1.781 * * * * [progress]: [ 20 / 60 ] simplifiying candidate # 1.781 * [simplify]: Simplifying (exp (/ 1 2)) 1.781 * * [simplify]: iters left: 3 (4 enodes) 1.783 * * [simplify]: iters left: 2 (17 enodes) 1.789 * * [simplify]: iters left: 1 (20 enodes) 1.795 * * [simplify]: Extracting #0: cost 1 inf + 0 1.795 * * [simplify]: Extracting #1: cost 4 inf + 0 1.795 * * [simplify]: Extracting #2: cost 0 inf + 84 1.795 * [simplify]: Simplified to (sqrt E) 1.795 * [simplify]: Simplified (2 1) to (λ (re im) (pow (sqrt E) (log (+ (* re re) (* im im))))) 1.795 * * * * [progress]: [ 21 / 60 ] simplifiying candidate # 1.796 * [simplify]: Simplifying (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) 1.796 * * [simplify]: iters left: 6 (10 enodes) 1.800 * * [simplify]: iters left: 5 (33 enodes) 1.809 * * [simplify]: iters left: 4 (39 enodes) 1.819 * * [simplify]: iters left: 3 (50 enodes) 1.827 * * [simplify]: iters left: 2 (74 enodes) 1.840 * * [simplify]: iters left: 1 (127 enodes) 1.863 * * [simplify]: Extracting #0: cost 1 inf + 0 1.863 * * [simplify]: Extracting #1: cost 14 inf + 0 1.863 * * [simplify]: Extracting #2: cost 52 inf + 1 1.864 * * [simplify]: Extracting #3: cost 70 inf + 4 1.864 * * [simplify]: Extracting #4: cost 73 inf + 5 1.864 * * [simplify]: Extracting #5: cost 76 inf + 5 1.864 * * [simplify]: Extracting #6: cost 80 inf + 5 1.866 * * [simplify]: Extracting #7: cost 75 inf + 130 1.867 * * [simplify]: Extracting #8: cost 63 inf + 3306 1.869 * * [simplify]: Extracting #9: cost 31 inf + 16431 1.874 * * [simplify]: Extracting #10: cost 2 inf + 39399 1.881 * * [simplify]: Extracting #11: cost 0 inf + 41064 1.887 * [simplify]: Simplified to (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) 1.887 * [simplify]: Simplified (2 1) to (λ (re im) (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) 1.887 * * * * [progress]: [ 22 / 60 ] simplifiying candidate # 1.888 * [simplify]: Simplifying (exp (sqrt (log (sqrt (+ (* re re) (* im im)))))) 1.888 * * [simplify]: iters left: 6 (9 enodes) 1.890 * * [simplify]: iters left: 5 (28 enodes) 1.893 * * [simplify]: Extracting #0: cost 1 inf + 0 1.893 * * [simplify]: Extracting #1: cost 3 inf + 0 1.893 * * [simplify]: Extracting #2: cost 5 inf + 0 1.893 * * [simplify]: Extracting #3: cost 7 inf + 0 1.893 * * [simplify]: Extracting #4: cost 9 inf + 0 1.893 * * [simplify]: Extracting #5: cost 12 inf + 0 1.893 * * [simplify]: Extracting #6: cost 16 inf + 0 1.894 * * [simplify]: Extracting #7: cost 12 inf + 84 1.894 * * [simplify]: Extracting #8: cost 10 inf + 166 1.894 * * [simplify]: Extracting #9: cost 7 inf + 572 1.894 * * [simplify]: Extracting #10: cost 4 inf + 1238 1.894 * * [simplify]: Extracting #11: cost 1 inf + 2084 1.895 * * [simplify]: Extracting #12: cost 0 inf + 2426 1.895 * [simplify]: Simplified to (exp (sqrt (log (sqrt (+ (* re re) (* im im)))))) 1.895 * [simplify]: Simplified (2 1) to (λ (re im) (pow (exp (sqrt (log (sqrt (+ (* re re) (* im im)))))) (sqrt (log (sqrt (+ (* re re) (* im im))))))) 1.895 * * * * [progress]: [ 23 / 60 ] simplifiying candidate # 1.895 * [simplify]: Simplifying (exp 1) 1.895 * * [simplify]: iters left: 1 (2 enodes) 1.896 * * [simplify]: Extracting #0: cost 1 inf + 0 1.896 * * [simplify]: Extracting #1: cost 0 inf + 1 1.896 * [simplify]: Simplified to E 1.896 * [simplify]: Simplified (2 1) to (λ (re im) (pow E (log (sqrt (+ (* re re) (* im im)))))) 1.896 * * * * [progress]: [ 24 / 60 ] simplifiying candidate # 1.897 * [simplify]: Simplifying (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) 1.897 * * [simplify]: iters left: 6 (10 enodes) 1.899 * * [simplify]: iters left: 5 (31 enodes) 1.903 * * [simplify]: iters left: 4 (35 enodes) 1.907 * * [simplify]: Extracting #0: cost 1 inf + 0 1.907 * * [simplify]: Extracting #1: cost 4 inf + 0 1.907 * * [simplify]: Extracting #2: cost 8 inf + 0 1.908 * * [simplify]: Extracting #3: cost 11 inf + 0 1.908 * * [simplify]: Extracting #4: cost 14 inf + 0 1.908 * * [simplify]: Extracting #5: cost 18 inf + 0 1.908 * * [simplify]: Extracting #6: cost 15 inf + 43 1.908 * * [simplify]: Extracting #7: cost 13 inf + 125 1.908 * * [simplify]: Extracting #8: cost 9 inf + 572 1.908 * * [simplify]: Extracting #9: cost 2 inf + 2406 1.909 * * [simplify]: Extracting #10: cost 0 inf + 3110 1.909 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) 1.909 * [simplify]: Simplified (2 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im)))))))) 1.909 * * * * [progress]: [ 25 / 60 ] simplifiying candidate # 1.909 * [simplify]: Simplifying (exp (log (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) 1.909 * * [simplify]: iters left: 6 (10 enodes) 1.912 * * [simplify]: iters left: 5 (30 enodes) 1.916 * * [simplify]: Extracting #0: cost 1 inf + 0 1.916 * * [simplify]: Extracting #1: cost 5 inf + 0 1.916 * * [simplify]: Extracting #2: cost 9 inf + 0 1.916 * * [simplify]: Extracting #3: cost 12 inf + 0 1.916 * * [simplify]: Extracting #4: cost 16 inf + 0 1.916 * * [simplify]: Extracting #5: cost 12 inf + 84 1.917 * * [simplify]: Extracting #6: cost 10 inf + 166 1.917 * * [simplify]: Extracting #7: cost 7 inf + 732 1.917 * * [simplify]: Extracting #8: cost 2 inf + 1852 1.917 * * [simplify]: Extracting #9: cost 0 inf + 2406 1.918 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 1.918 * [simplify]: Simplified (2 1) to (λ (re im) (* (fabs (cbrt (+ (* re re) (* im im)))) (exp (log (sqrt (cbrt (+ (* re re) (* im im)))))))) 1.918 * * * * [progress]: [ 26 / 60 ] simplifiying candidate # 1.918 * [simplify]: Simplifying (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) 1.918 * * [simplify]: iters left: 6 (9 enodes) 1.920 * * [simplify]: iters left: 5 (26 enodes) 1.923 * * [simplify]: Extracting #0: cost 1 inf + 0 1.923 * * [simplify]: Extracting #1: cost 4 inf + 0 1.923 * * [simplify]: Extracting #2: cost 7 inf + 0 1.923 * * [simplify]: Extracting #3: cost 10 inf + 0 1.923 * * [simplify]: Extracting #4: cost 14 inf + 0 1.923 * * [simplify]: Extracting #5: cost 10 inf + 84 1.923 * * [simplify]: Extracting #6: cost 8 inf + 166 1.923 * * [simplify]: Extracting #7: cost 5 inf + 572 1.924 * * [simplify]: Extracting #8: cost 2 inf + 1208 1.924 * * [simplify]: Extracting #9: cost 0 inf + 1682 1.924 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 1.924 * [simplify]: Simplified (2 1) to (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))))) 1.924 * * * * [progress]: [ 27 / 60 ] simplifiying candidate # 1.925 * [simplify]: Simplifying (exp (log (sqrt 1))) 1.925 * * [simplify]: iters left: 3 (4 enodes) 1.927 * * [simplify]: iters left: 2 (12 enodes) 1.930 * * [simplify]: iters left: 1 (14 enodes) 1.931 * * [simplify]: Extracting #0: cost 1 inf + 0 1.931 * * [simplify]: Extracting #1: cost 0 inf + 1 1.931 * [simplify]: Simplified to 1 1.931 * [simplify]: Simplified (2 1) to (λ (re im) (* 1 (exp (log (sqrt (+ (* re re) (* im im))))))) 1.932 * * * * [progress]: [ 28 / 60 ] simplifiying candidate # 1.932 * [simplify]: Simplifying (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) 1.932 * * [simplify]: iters left: 6 (9 enodes) 1.934 * * [simplify]: iters left: 5 (26 enodes) 1.937 * * [simplify]: Extracting #0: cost 1 inf + 0 1.937 * * [simplify]: Extracting #1: cost 4 inf + 0 1.937 * * [simplify]: Extracting #2: cost 7 inf + 0 1.937 * * [simplify]: Extracting #3: cost 10 inf + 0 1.937 * * [simplify]: Extracting #4: cost 14 inf + 0 1.937 * * [simplify]: Extracting #5: cost 10 inf + 84 1.938 * * [simplify]: Extracting #6: cost 8 inf + 166 1.938 * * [simplify]: Extracting #7: cost 5 inf + 572 1.938 * * [simplify]: Extracting #8: cost 2 inf + 1208 1.938 * * [simplify]: Extracting #9: cost 0 inf + 1682 1.938 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 1.938 * [simplify]: Simplified (2 1) to (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))))) 1.939 * * * * [progress]: [ 29 / 60 ] simplifiying candidate # 1.939 * [simplify]: Simplifying (exp (log 1)) 1.939 * * [simplify]: iters left: 2 (3 enodes) 1.940 * * [simplify]: iters left: 1 (9 enodes) 1.942 * * [simplify]: Extracting #0: cost 1 inf + 0 1.942 * * [simplify]: Extracting #1: cost 0 inf + 1 1.942 * [simplify]: Simplified to 1 1.942 * [simplify]: Simplified (2 1) to (λ (re im) (* 1 (exp (log (sqrt (+ (* re re) (* im im))))))) 1.942 * * * * [progress]: [ 30 / 60 ] simplifiying candidate # 1.942 * [simplify]: Simplifying (exp (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) 1.942 * * [simplify]: iters left: 6 (11 enodes) 1.945 * * [simplify]: iters left: 5 (49 enodes) 1.959 * * [simplify]: iters left: 4 (104 enodes) 1.982 * * [simplify]: iters left: 3 (203 enodes) 2.045 * * [simplify]: iters left: 2 (402 enodes) 2.210 * * [simplify]: Extracting #0: cost 1 inf + 0 2.210 * * [simplify]: Extracting #1: cost 4 inf + 0 2.210 * * [simplify]: Extracting #2: cost 8 inf + 0 2.211 * * [simplify]: Extracting #3: cost 63 inf + 0 2.212 * * [simplify]: Extracting #4: cost 159 inf + 702 2.215 * * [simplify]: Extracting #5: cost 150 inf + 5367 2.221 * * [simplify]: Extracting #6: cost 76 inf + 30661 2.231 * * [simplify]: Extracting #7: cost 5 inf + 61831 2.241 * * [simplify]: Extracting #8: cost 0 inf + 64346 2.250 * [simplify]: Simplified to (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im))))) 2.250 * [simplify]: Simplified (2 1) to (λ (re im) (/ (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im))))) (exp (log (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))))) 2.250 * * * * [progress]: [ 31 / 60 ] simplifiying candidate # 2.250 * [simplify]: Simplifying (exp (log (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) 2.250 * * [simplify]: iters left: 6 (10 enodes) 2.253 * * [simplify]: iters left: 5 (41 enodes) 2.260 * * [simplify]: iters left: 4 (71 enodes) 2.275 * * [simplify]: iters left: 3 (127 enodes) 2.301 * * [simplify]: iters left: 2 (282 enodes) 2.458 * * [simplify]: Extracting #0: cost 1 inf + 0 2.458 * * [simplify]: Extracting #1: cost 4 inf + 0 2.459 * * [simplify]: Extracting #2: cost 52 inf + 0 2.463 * * [simplify]: Extracting #3: cost 152 inf + 0 2.465 * * [simplify]: Extracting #4: cost 197 inf + 858 2.468 * * [simplify]: Extracting #5: cost 139 inf + 9708 2.478 * * [simplify]: Extracting #6: cost 14 inf + 33426 2.491 * * [simplify]: Extracting #7: cost 0 inf + 36965 2.499 * * [simplify]: Extracting #8: cost 0 inf + 36925 2.506 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 2.506 * [simplify]: Simplified (2 1) to (λ (re im) (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (exp (log (sqrt (- (* re re) (* im im))))))) 2.506 * * * * [progress]: [ 32 / 60 ] simplifiying candidate # 2.507 * [simplify]: Simplifying (+ (* re re) (* im im)) 2.507 * * [simplify]: iters left: 4 (5 enodes) 2.508 * * [simplify]: iters left: 3 (16 enodes) 2.510 * * [simplify]: Extracting #0: cost 1 inf + 0 2.510 * * [simplify]: Extracting #1: cost 4 inf + 0 2.511 * * [simplify]: Extracting #2: cost 8 inf + 0 2.511 * * [simplify]: Extracting #3: cost 4 inf + 84 2.511 * * [simplify]: Extracting #4: cost 0 inf + 410 2.511 * [simplify]: Simplified to (+ (* re re) (* im im)) 2.511 * [simplify]: Simplified (2 1) to (λ (re im) (sqrt (+ (* re re) (* im im)))) 2.511 * * * * [progress]: [ 33 / 60 ] simplifiying candidate # 2.511 * * * * [progress]: [ 34 / 60 ] simplifiying candidate # 2.511 * * * * [progress]: [ 35 / 60 ] simplifiying candidate # 2.511 * * * * [progress]: [ 36 / 60 ] simplifiying candidate # 2.511 * * * * [progress]: [ 37 / 60 ] simplifiying candidate # 2.511 * * * * [progress]: [ 38 / 60 ] simplifiying candidate # 2.511 * * * * [progress]: [ 39 / 60 ] simplifiying candidate #real (real->posit16 (exp (log (sqrt (+ (* re re) (* im im))))))))> 2.511 * * * * [progress]: [ 40 / 60 ] simplifiying candidate # 2.511 * [simplify]: Simplifying (* (exp (* re re)) (exp (* im im))) 2.511 * * [simplify]: iters left: 5 (7 enodes) 2.513 * * [simplify]: iters left: 4 (28 enodes) 2.518 * * [simplify]: iters left: 3 (43 enodes) 2.531 * * [simplify]: iters left: 2 (75 enodes) 2.549 * * [simplify]: iters left: 1 (169 enodes) 2.622 * * [simplify]: Extracting #0: cost 1 inf + 0 2.622 * * [simplify]: Extracting #1: cost 28 inf + 0 2.622 * * [simplify]: Extracting #2: cost 119 inf + 0 2.624 * * [simplify]: Extracting #3: cost 136 inf + 1135 2.625 * * [simplify]: Extracting #4: cost 131 inf + 1568 2.628 * * [simplify]: Extracting #5: cost 99 inf + 8302 2.638 * * [simplify]: Extracting #6: cost 11 inf + 60490 2.654 * * [simplify]: Extracting #7: cost 0 inf + 69564 2.668 * [simplify]: Simplified to (exp (+ (* re re) (* im im))) 2.669 * [simplify]: Simplified (2 1 1 1 1) to (λ (re im) (exp (log (sqrt (log (exp (+ (* re re) (* im im)))))))) 2.669 * * * * [progress]: [ 41 / 60 ] simplifiying candidate # 2.669 * * * * [progress]: [ 42 / 60 ] simplifiying candidate # 2.669 * * * * [progress]: [ 43 / 60 ] simplifiying candidate # 2.669 * * * * [progress]: [ 44 / 60 ] simplifiying candidate # 2.669 * * * * [progress]: [ 45 / 60 ] simplifiying candidate # 2.669 * * * * [progress]: [ 46 / 60 ] simplifiying candidate # 2.669 * * * * [progress]: [ 47 / 60 ] simplifiying candidate # 2.669 * * * * [progress]: [ 48 / 60 ] simplifiying candidate # 2.669 * * * * [progress]: [ 49 / 60 ] simplifiying candidate # 2.669 * * * * [progress]: [ 50 / 60 ] simplifiying candidate #real (real->posit16 (+ (* re re) (* im im))))))))> 2.669 * * * * [progress]: [ 51 / 60 ] simplifiying candidate # 2.669 * * * * [progress]: [ 52 / 60 ] simplifiying candidate # 2.670 * [simplify]: Simplifying im 2.670 * * [simplify]: iters left: 0 (1 enodes) 2.670 * * [simplify]: Extracting #0: cost 1 inf + 0 2.670 * * [simplify]: Extracting #1: cost 0 inf + 1 2.670 * [simplify]: Simplified to im 2.670 * [simplify]: Simplified (2 1 1) to (λ (re im) (exp (log im))) 2.671 * * * * [progress]: [ 53 / 60 ] simplifiying candidate # 2.671 * [simplify]: Simplifying re 2.671 * * [simplify]: iters left: 0 (1 enodes) 2.671 * * [simplify]: Extracting #0: cost 1 inf + 0 2.671 * * [simplify]: Extracting #1: cost 0 inf + 1 2.671 * [simplify]: Simplified to re 2.671 * [simplify]: Simplified (2 1 1) to (λ (re im) (exp (log re))) 2.671 * * * * [progress]: [ 54 / 60 ] simplifiying candidate # 2.672 * [simplify]: Simplifying (* -1 re) 2.672 * * [simplify]: iters left: 2 (3 enodes) 2.674 * * [simplify]: iters left: 1 (11 enodes) 2.677 * * [simplify]: Extracting #0: cost 1 inf + 0 2.677 * * [simplify]: Extracting #1: cost 4 inf + 0 2.677 * * [simplify]: Extracting #2: cost 0 inf + 84 2.677 * [simplify]: Simplified to (- re) 2.677 * [simplify]: Simplified (2 1 1) to (λ (re im) (exp (log (- re)))) 2.677 * * * * [progress]: [ 55 / 60 ] simplifiying candidate # 2.678 * [simplify]: Simplifying im 2.678 * * [simplify]: iters left: 0 (1 enodes) 2.678 * * [simplify]: Extracting #0: cost 1 inf + 0 2.678 * * [simplify]: Extracting #1: cost 0 inf + 1 2.678 * [simplify]: Simplified to im 2.678 * [simplify]: Simplified (2) to (λ (re im) im) 2.678 * * * * [progress]: [ 56 / 60 ] simplifiying candidate # 2.679 * [simplify]: Simplifying re 2.679 * * [simplify]: iters left: 0 (1 enodes) 2.679 * * [simplify]: Extracting #0: cost 1 inf + 0 2.679 * * [simplify]: Extracting #1: cost 0 inf + 1 2.679 * [simplify]: Simplified to re 2.679 * [simplify]: Simplified (2) to (λ (re im) re) 2.679 * * * * [progress]: [ 57 / 60 ] simplifiying candidate # 2.679 * [simplify]: Simplifying (* -1 re) 2.680 * * [simplify]: iters left: 2 (3 enodes) 2.681 * * [simplify]: iters left: 1 (11 enodes) 2.685 * * [simplify]: Extracting #0: cost 1 inf + 0 2.685 * * [simplify]: Extracting #1: cost 4 inf + 0 2.685 * * [simplify]: Extracting #2: cost 0 inf + 84 2.685 * [simplify]: Simplified to (- re) 2.685 * [simplify]: Simplified (2) to (λ (re im) (- re)) 2.686 * * * * [progress]: [ 58 / 60 ] simplifiying candidate # 2.686 * [simplify]: Simplifying (+ (pow im 2) (pow re 2)) 2.686 * * [simplify]: iters left: 3 (6 enodes) 2.690 * * [simplify]: iters left: 2 (27 enodes) 2.698 * * [simplify]: iters left: 1 (31 enodes) 2.706 * * [simplify]: Extracting #0: cost 1 inf + 0 2.706 * * [simplify]: Extracting #1: cost 4 inf + 0 2.706 * * [simplify]: Extracting #2: cost 9 inf + 0 2.706 * * [simplify]: Extracting #3: cost 6 inf + 3 2.706 * * [simplify]: Extracting #4: cost 1 inf + 370 2.706 * * [simplify]: Extracting #5: cost 0 inf + 411 2.706 * [simplify]: Simplified to (+ (* im im) (* re re)) 2.706 * [simplify]: Simplified (2 1 1 1) to (λ (re im) (exp (log (sqrt (+ (* im im) (* re re)))))) 2.707 * * * * [progress]: [ 59 / 60 ] simplifiying candidate # 2.707 * [simplify]: Simplifying (+ (pow im 2) (pow re 2)) 2.707 * * [simplify]: iters left: 3 (6 enodes) 2.710 * * [simplify]: iters left: 2 (27 enodes) 2.717 * * [simplify]: iters left: 1 (31 enodes) 2.721 * * [simplify]: Extracting #0: cost 1 inf + 0 2.721 * * [simplify]: Extracting #1: cost 4 inf + 0 2.721 * * [simplify]: Extracting #2: cost 9 inf + 0 2.721 * * [simplify]: Extracting #3: cost 6 inf + 3 2.722 * * [simplify]: Extracting #4: cost 1 inf + 370 2.722 * * [simplify]: Extracting #5: cost 0 inf + 411 2.722 * [simplify]: Simplified to (+ (* im im) (* re re)) 2.722 * [simplify]: Simplified (2 1 1 1) to (λ (re im) (exp (log (sqrt (+ (* im im) (* re re)))))) 2.722 * * * * [progress]: [ 60 / 60 ] simplifiying candidate # 2.722 * [simplify]: Simplifying (+ (pow im 2) (pow re 2)) 2.722 * * [simplify]: iters left: 3 (6 enodes) 2.724 * * [simplify]: iters left: 2 (27 enodes) 2.728 * * [simplify]: iters left: 1 (31 enodes) 2.732 * * [simplify]: Extracting #0: cost 1 inf + 0 2.732 * * [simplify]: Extracting #1: cost 4 inf + 0 2.732 * * [simplify]: Extracting #2: cost 9 inf + 0 2.732 * * [simplify]: Extracting #3: cost 6 inf + 3 2.732 * * [simplify]: Extracting #4: cost 1 inf + 370 2.732 * * [simplify]: Extracting #5: cost 0 inf + 411 2.732 * [simplify]: Simplified to (+ (* im im) (* re re)) 2.732 * [simplify]: Simplified (2 1 1 1) to (λ (re im) (exp (log (sqrt (+ (* im im) (* re re)))))) 2.732 * * * [progress]: adding candidates to table 3.331 * * [progress]: iteration 3 / 4 3.331 * * * [progress]: picking best candidate 3.345 * * * * [pick]: Picked # 3.345 * * * [progress]: localizing error 3.350 * * * [progress]: generating rewritten candidates 3.350 * * * [progress]: generating series expansions 3.351 * * * [progress]: simplifying candidates 3.351 * * * [progress]: adding candidates to table 3.351 * * [progress]: iteration 4 / 4 3.351 * * * [progress]: picking best candidate 3.370 * * * * [pick]: Picked # 3.370 * * * [progress]: localizing error 3.385 * * * [progress]: generating rewritten candidates 3.385 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 3.393 * * * [progress]: generating series expansions 3.393 * * * * [progress]: [ 1 / 1 ] generating series at (2) 3.393 * [backup-simplify]: Simplify (exp (log (- re))) into (- re) 3.393 * [approximate]: Taking taylor expansion of (- re) in (re) around 0 3.393 * [taylor]: Taking taylor expansion of (- re) in re 3.393 * [taylor]: Taking taylor expansion of re in re 3.393 * [backup-simplify]: Simplify 0 into 0 3.393 * [backup-simplify]: Simplify 1 into 1 3.393 * [taylor]: Taking taylor expansion of (- re) in re 3.393 * [taylor]: Taking taylor expansion of re in re 3.393 * [backup-simplify]: Simplify 0 into 0 3.393 * [backup-simplify]: Simplify 1 into 1 3.394 * [backup-simplify]: Simplify (- 0) into 0 3.394 * [backup-simplify]: Simplify 0 into 0 3.395 * [backup-simplify]: Simplify (- 1) into -1 3.395 * [backup-simplify]: Simplify -1 into -1 3.395 * [backup-simplify]: Simplify (- 0) into 0 3.395 * [backup-simplify]: Simplify 0 into 0 3.396 * [backup-simplify]: Simplify (- 0) into 0 3.396 * [backup-simplify]: Simplify 0 into 0 3.396 * [backup-simplify]: Simplify (- 0) into 0 3.396 * [backup-simplify]: Simplify 0 into 0 3.397 * [backup-simplify]: Simplify (- 0) into 0 3.397 * [backup-simplify]: Simplify 0 into 0 3.397 * [backup-simplify]: Simplify (- 0) into 0 3.397 * [backup-simplify]: Simplify 0 into 0 3.398 * [backup-simplify]: Simplify (- 0) into 0 3.398 * [backup-simplify]: Simplify 0 into 0 3.398 * [backup-simplify]: Simplify (* -1 re) into (* -1 re) 3.398 * [backup-simplify]: Simplify (exp (log (- (/ 1 re)))) into (- (/ 1 re)) 3.398 * [approximate]: Taking taylor expansion of (- (/ 1 re)) in (re) around 0 3.398 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 3.398 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.398 * [taylor]: Taking taylor expansion of re in re 3.398 * [backup-simplify]: Simplify 0 into 0 3.399 * [backup-simplify]: Simplify 1 into 1 3.399 * [backup-simplify]: Simplify (/ 1 1) into 1 3.399 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 3.399 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.399 * [taylor]: Taking taylor expansion of re in re 3.399 * [backup-simplify]: Simplify 0 into 0 3.399 * [backup-simplify]: Simplify 1 into 1 3.400 * [backup-simplify]: Simplify (/ 1 1) into 1 3.400 * [backup-simplify]: Simplify (- 1) into -1 3.400 * [backup-simplify]: Simplify -1 into -1 3.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.401 * [backup-simplify]: Simplify (- 0) into 0 3.401 * [backup-simplify]: Simplify 0 into 0 3.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.403 * [backup-simplify]: Simplify (- 0) into 0 3.403 * [backup-simplify]: Simplify 0 into 0 3.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.404 * [backup-simplify]: Simplify (- 0) into 0 3.404 * [backup-simplify]: Simplify 0 into 0 3.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.406 * [backup-simplify]: Simplify (- 0) into 0 3.406 * [backup-simplify]: Simplify 0 into 0 3.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.407 * [backup-simplify]: Simplify (- 0) into 0 3.407 * [backup-simplify]: Simplify 0 into 0 3.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.408 * [backup-simplify]: Simplify (- 0) into 0 3.408 * [backup-simplify]: Simplify 0 into 0 3.408 * [backup-simplify]: Simplify (* -1 (/ 1 (/ 1 re))) into (* -1 re) 3.408 * [backup-simplify]: Simplify (exp (log (- (/ 1 (- re))))) into (/ 1 re) 3.408 * [approximate]: Taking taylor expansion of (/ 1 re) in (re) around 0 3.408 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.408 * [taylor]: Taking taylor expansion of re in re 3.409 * [backup-simplify]: Simplify 0 into 0 3.409 * [backup-simplify]: Simplify 1 into 1 3.409 * [backup-simplify]: Simplify (/ 1 1) into 1 3.409 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.409 * [taylor]: Taking taylor expansion of re in re 3.409 * [backup-simplify]: Simplify 0 into 0 3.409 * [backup-simplify]: Simplify 1 into 1 3.409 * [backup-simplify]: Simplify (/ 1 1) into 1 3.409 * [backup-simplify]: Simplify 1 into 1 3.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.410 * [backup-simplify]: Simplify 0 into 0 3.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.410 * [backup-simplify]: Simplify 0 into 0 3.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.411 * [backup-simplify]: Simplify 0 into 0 3.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.411 * [backup-simplify]: Simplify 0 into 0 3.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.412 * [backup-simplify]: Simplify 0 into 0 3.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.412 * [backup-simplify]: Simplify 0 into 0 3.412 * [backup-simplify]: Simplify (* 1 (/ 1 (/ 1 (- re)))) into (* -1 re) 3.413 * * * [progress]: simplifying candidates 3.413 * * * * [progress]: [ 1 / 26 ] simplifiying candidate # 3.413 * * * * [progress]: [ 2 / 26 ] simplifiying candidate # 3.413 * [simplify]: Simplifying (exp 1) 3.413 * * [simplify]: iters left: 1 (2 enodes) 3.414 * * [simplify]: Extracting #0: cost 1 inf + 0 3.414 * * [simplify]: Extracting #1: cost 0 inf + 1 3.414 * [simplify]: Simplified to E 3.414 * [simplify]: Simplified (2 1) to (λ (re im) (pow E (log (- re)))) 3.414 * * * * [progress]: [ 3 / 26 ] simplifiying candidate # 3.414 * [simplify]: Simplifying (exp (* (cbrt (log (- re))) (cbrt (log (- re))))) 3.414 * * [simplify]: iters left: 6 (6 enodes) 3.415 * * [simplify]: iters left: 5 (20 enodes) 3.418 * * [simplify]: iters left: 4 (26 enodes) 3.422 * * [simplify]: iters left: 3 (37 enodes) 3.428 * * [simplify]: iters left: 2 (61 enodes) 3.439 * * [simplify]: iters left: 1 (114 enodes) 3.484 * * [simplify]: Extracting #0: cost 1 inf + 0 3.484 * * [simplify]: Extracting #1: cost 15 inf + 0 3.484 * * [simplify]: Extracting #2: cost 54 inf + 1 3.484 * * [simplify]: Extracting #3: cost 72 inf + 4 3.484 * * [simplify]: Extracting #4: cost 75 inf + 5 3.485 * * [simplify]: Extracting #5: cost 73 inf + 47 3.485 * * [simplify]: Extracting #6: cost 52 inf + 5878 3.488 * * [simplify]: Extracting #7: cost 9 inf + 27434 3.491 * * [simplify]: Extracting #8: cost 0 inf + 33800 3.495 * [simplify]: Simplified to (exp (* (cbrt (log (- re))) (cbrt (log (- re))))) 3.495 * [simplify]: Simplified (2 1) to (λ (re im) (pow (exp (* (cbrt (log (- re))) (cbrt (log (- re))))) (cbrt (log (- re))))) 3.495 * * * * [progress]: [ 4 / 26 ] simplifiying candidate # 3.495 * [simplify]: Simplifying (exp (sqrt (log (- re)))) 3.495 * * [simplify]: iters left: 5 (5 enodes) 3.496 * * [simplify]: iters left: 4 (15 enodes) 3.498 * * [simplify]: Extracting #0: cost 1 inf + 0 3.498 * * [simplify]: Extracting #1: cost 3 inf + 0 3.498 * * [simplify]: Extracting #2: cost 5 inf + 0 3.498 * * [simplify]: Extracting #3: cost 7 inf + 0 3.498 * * [simplify]: Extracting #4: cost 9 inf + 0 3.498 * * [simplify]: Extracting #5: cost 8 inf + 1 3.498 * * [simplify]: Extracting #6: cost 0 inf + 1049 3.498 * [simplify]: Simplified to (exp (sqrt (log (- re)))) 3.498 * [simplify]: Simplified (2 1) to (λ (re im) (pow (exp (sqrt (log (- re)))) (sqrt (log (- re))))) 3.498 * * * * [progress]: [ 5 / 26 ] simplifiying candidate # 3.499 * [simplify]: Simplifying (exp 1) 3.499 * * [simplify]: iters left: 1 (2 enodes) 3.500 * * [simplify]: Extracting #0: cost 1 inf + 0 3.500 * * [simplify]: Extracting #1: cost 0 inf + 1 3.500 * [simplify]: Simplified to E 3.500 * [simplify]: Simplified (2 1) to (λ (re im) (pow E (log (- re)))) 3.500 * * * * [progress]: [ 6 / 26 ] simplifiying candidate # 3.500 * [simplify]: Simplifying (exp (log (* (cbrt (- re)) (cbrt (- re))))) 3.500 * * [simplify]: iters left: 6 (6 enodes) 3.501 * * [simplify]: iters left: 5 (18 enodes) 3.503 * * [simplify]: iters left: 4 (22 enodes) 3.506 * * [simplify]: Extracting #0: cost 1 inf + 0 3.506 * * [simplify]: Extracting #1: cost 4 inf + 0 3.506 * * [simplify]: Extracting #2: cost 8 inf + 0 3.506 * * [simplify]: Extracting #3: cost 11 inf + 0 3.506 * * [simplify]: Extracting #4: cost 10 inf + 1 3.506 * * [simplify]: Extracting #5: cost 2 inf + 1029 3.507 * * [simplify]: Extracting #6: cost 0 inf + 1491 3.507 * [simplify]: Simplified to (* (cbrt (- re)) (cbrt (- re))) 3.507 * [simplify]: Simplified (2 1) to (λ (re im) (* (* (cbrt (- re)) (cbrt (- re))) (exp (log (cbrt (- re)))))) 3.507 * * * * [progress]: [ 7 / 26 ] simplifiying candidate # 3.507 * [simplify]: Simplifying (exp (log (sqrt (- re)))) 3.507 * * [simplify]: iters left: 5 (5 enodes) 3.508 * * [simplify]: iters left: 4 (13 enodes) 3.510 * * [simplify]: Extracting #0: cost 1 inf + 0 3.510 * * [simplify]: Extracting #1: cost 4 inf + 0 3.510 * * [simplify]: Extracting #2: cost 7 inf + 0 3.510 * * [simplify]: Extracting #3: cost 6 inf + 1 3.510 * * [simplify]: Extracting #4: cost 2 inf + 245 3.510 * * [simplify]: Extracting #5: cost 0 inf + 547 3.510 * [simplify]: Simplified to (sqrt (- re)) 3.510 * [simplify]: Simplified (2 1) to (λ (re im) (* (sqrt (- re)) (exp (log (sqrt (- re)))))) 3.510 * * * * [progress]: [ 8 / 26 ] simplifiying candidate # 3.510 * [simplify]: Simplifying (exp (log 1)) 3.510 * * [simplify]: iters left: 2 (3 enodes) 3.512 * * [simplify]: iters left: 1 (9 enodes) 3.513 * * [simplify]: Extracting #0: cost 1 inf + 0 3.513 * * [simplify]: Extracting #1: cost 0 inf + 1 3.513 * [simplify]: Simplified to 1 3.513 * [simplify]: Simplified (2 1) to (λ (re im) (* 1 (exp (log (- re))))) 3.513 * * * * [progress]: [ 9 / 26 ] simplifiying candidate # 3.513 * [simplify]: Simplifying (exp (log -1)) 3.513 * * [simplify]: iters left: 2 (3 enodes) 3.515 * * [simplify]: iters left: 1 (7 enodes) 3.516 * * [simplify]: Extracting #0: cost 1 inf + 0 3.516 * * [simplify]: Extracting #1: cost 0 inf + 1 3.516 * [simplify]: Simplified to -1 3.516 * [simplify]: Simplified (2 1) to (λ (re im) (* -1 (exp (log re)))) 3.516 * * * * [progress]: [ 10 / 26 ] simplifiying candidate # 3.516 * [simplify]: Simplifying (exp (log (- (* (cbrt re) (cbrt re))))) 3.516 * * [simplify]: iters left: 6 (6 enodes) 3.519 * * [simplify]: iters left: 5 (19 enodes) 3.524 * * [simplify]: iters left: 4 (25 enodes) 3.530 * * [simplify]: iters left: 3 (33 enodes) 3.539 * * [simplify]: Extracting #0: cost 1 inf + 0 3.539 * * [simplify]: Extracting #1: cost 6 inf + 0 3.539 * * [simplify]: Extracting #2: cost 13 inf + 0 3.539 * * [simplify]: Extracting #3: cost 14 inf + 1 3.539 * * [simplify]: Extracting #4: cost 11 inf + 314 3.540 * * [simplify]: Extracting #5: cost 4 inf + 1271 3.540 * * [simplify]: Extracting #6: cost 0 inf + 2115 3.541 * [simplify]: Simplified to (- (* (cbrt re) (cbrt re))) 3.541 * [simplify]: Simplified (2 1) to (λ (re im) (* (- (* (cbrt re) (cbrt re))) (exp (log (cbrt re))))) 3.541 * * * * [progress]: [ 11 / 26 ] simplifiying candidate # 3.541 * [simplify]: Simplifying (exp (log (- (sqrt re)))) 3.541 * * [simplify]: iters left: 5 (5 enodes) 3.543 * * [simplify]: iters left: 4 (13 enodes) 3.546 * * [simplify]: Extracting #0: cost 1 inf + 0 3.546 * * [simplify]: Extracting #1: cost 4 inf + 0 3.547 * * [simplify]: Extracting #2: cost 7 inf + 0 3.547 * * [simplify]: Extracting #3: cost 6 inf + 1 3.547 * * [simplify]: Extracting #4: cost 2 inf + 245 3.547 * * [simplify]: Extracting #5: cost 0 inf + 547 3.547 * [simplify]: Simplified to (- (sqrt re)) 3.547 * [simplify]: Simplified (2 1) to (λ (re im) (* (- (sqrt re)) (exp (log (sqrt re))))) 3.547 * * * * [progress]: [ 12 / 26 ] simplifiying candidate # 3.548 * [simplify]: Simplifying (exp (log (- 1))) 3.548 * * [simplify]: iters left: 4 (4 enodes) 3.551 * * [simplify]: iters left: 3 (13 enodes) 3.555 * * [simplify]: iters left: 2 (15 enodes) 3.560 * * [simplify]: Extracting #0: cost 1 inf + 0 3.560 * * [simplify]: Extracting #1: cost 0 inf + 1 3.560 * [simplify]: Simplified to -1 3.560 * [simplify]: Simplified (2 1) to (λ (re im) (* -1 (exp (log re)))) 3.560 * * * * [progress]: [ 13 / 26 ] simplifiying candidate # 3.561 * [simplify]: Simplifying (exp (log (* (cbrt re) (cbrt re)))) 3.561 * * [simplify]: iters left: 5 (5 enodes) 3.563 * * [simplify]: iters left: 4 (15 enodes) 3.567 * * [simplify]: iters left: 3 (19 enodes) 3.572 * * [simplify]: Extracting #0: cost 1 inf + 0 3.572 * * [simplify]: Extracting #1: cost 4 inf + 0 3.572 * * [simplify]: Extracting #2: cost 8 inf + 0 3.572 * * [simplify]: Extracting #3: cost 8 inf + 1 3.572 * * [simplify]: Extracting #4: cost 3 inf + 556 3.572 * * [simplify]: Extracting #5: cost 0 inf + 1089 3.573 * [simplify]: Simplified to (* (cbrt re) (cbrt re)) 3.573 * [simplify]: Simplified (2 1) to (λ (re im) (* (* (cbrt re) (cbrt re)) (exp (log (- (cbrt re)))))) 3.573 * * * * [progress]: [ 14 / 26 ] simplifiying candidate # 3.573 * [simplify]: Simplifying (exp (log (sqrt re))) 3.573 * * [simplify]: iters left: 3 (4 enodes) 3.575 * * [simplify]: iters left: 2 (10 enodes) 3.581 * * [simplify]: Extracting #0: cost 1 inf + 0 3.581 * * [simplify]: Extracting #1: cost 4 inf + 0 3.581 * * [simplify]: Extracting #2: cost 4 inf + 1 3.581 * * [simplify]: Extracting #3: cost 2 inf + 83 3.581 * * [simplify]: Extracting #4: cost 0 inf + 305 3.581 * [simplify]: Simplified to (sqrt re) 3.581 * [simplify]: Simplified (2 1) to (λ (re im) (* (sqrt re) (exp (log (- (sqrt re)))))) 3.582 * * * * [progress]: [ 15 / 26 ] simplifiying candidate # 3.582 * [simplify]: Simplifying (exp (log 1)) 3.582 * * [simplify]: iters left: 2 (3 enodes) 3.585 * * [simplify]: iters left: 1 (9 enodes) 3.588 * * [simplify]: Extracting #0: cost 1 inf + 0 3.588 * * [simplify]: Extracting #1: cost 0 inf + 1 3.588 * [simplify]: Simplified to 1 3.588 * [simplify]: Simplified (2 1) to (λ (re im) (* 1 (exp (log (- re))))) 3.588 * * * * [progress]: [ 16 / 26 ] simplifiying candidate # 3.588 * * * * [progress]: [ 17 / 26 ] simplifiying candidate # 3.588 * * * * [progress]: [ 18 / 26 ] simplifiying candidate # 3.588 * * * * [progress]: [ 19 / 26 ] simplifiying candidate # 3.589 * * * * [progress]: [ 20 / 26 ] simplifiying candidate # 3.589 * * * * [progress]: [ 21 / 26 ] simplifiying candidate # 3.589 * * * * [progress]: [ 22 / 26 ] simplifiying candidate # 3.590 * * * * [progress]: [ 23 / 26 ] simplifiying candidate #real (real->posit16 (exp (log (- re))))))> 3.590 * * * * [progress]: [ 24 / 26 ] simplifiying candidate # 3.590 * [simplify]: Simplifying (* -1 re) 3.590 * * [simplify]: iters left: 2 (3 enodes) 3.592 * * [simplify]: iters left: 1 (11 enodes) 3.595 * * [simplify]: Extracting #0: cost 1 inf + 0 3.596 * * [simplify]: Extracting #1: cost 4 inf + 0 3.596 * * [simplify]: Extracting #2: cost 0 inf + 84 3.596 * [simplify]: Simplified to (- re) 3.596 * [simplify]: Simplified (2) to (λ (re im) (- re)) 3.596 * * * * [progress]: [ 25 / 26 ] simplifiying candidate # 3.596 * [simplify]: Simplifying (* -1 re) 3.596 * * [simplify]: iters left: 2 (3 enodes) 3.598 * * [simplify]: iters left: 1 (11 enodes) 3.601 * * [simplify]: Extracting #0: cost 1 inf + 0 3.601 * * [simplify]: Extracting #1: cost 4 inf + 0 3.602 * * [simplify]: Extracting #2: cost 0 inf + 84 3.602 * [simplify]: Simplified to (- re) 3.602 * [simplify]: Simplified (2) to (λ (re im) (- re)) 3.602 * * * * [progress]: [ 26 / 26 ] simplifiying candidate # 3.602 * [simplify]: Simplifying (* -1 re) 3.602 * * [simplify]: iters left: 2 (3 enodes) 3.604 * * [simplify]: iters left: 1 (11 enodes) 3.607 * * [simplify]: Extracting #0: cost 1 inf + 0 3.607 * * [simplify]: Extracting #1: cost 4 inf + 0 3.607 * * [simplify]: Extracting #2: cost 0 inf + 84 3.608 * [simplify]: Simplified to (- re) 3.608 * [simplify]: Simplified (2) to (λ (re im) (- re)) 3.608 * * * [progress]: adding candidates to table 3.773 * [progress]: [Phase 3 of 3] Extracting. 3.773 * * [regime]: Finding splitpoints for: (# # # # # # # #) 3.774 * * * [regime-changes]: Trying 6 branch expressions: (im (* im im) re (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) 3.774 * * * * [regimes]: Trying to branch on im from (# # # # # # # #) 3.841 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # #) 3.877 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # #) 3.910 * * * * [regimes]: Trying to branch on re from (# # # # # # # #) 3.982 * * * * [regimes]: Trying to branch on (* re re) from (# # # # # # # #) 4.019 * * * * [regimes]: Trying to branch on (* re re) from (# # # #) 4.066 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# # # # # # # #) 4.112 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# #) 4.143 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# # # # # # # #) 4.203 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# #) 4.249 * * * [regime]: Found split indices: #