0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.019 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 0.019 * * [simplify]: iters left: 5 (6 enodes) 0.020 * * [simplify]: iters left: 4 (19 enodes) 0.023 * * [simplify]: Extracting #0: cost 1 inf + 0 0.023 * * [simplify]: Extracting #1: cost 3 inf + 0 0.023 * * [simplify]: Extracting #2: cost 6 inf + 0 0.023 * * [simplify]: Extracting #3: cost 10 inf + 0 0.023 * * [simplify]: Extracting #4: cost 6 inf + 84 0.023 * * [simplify]: Extracting #5: cost 0 inf + 734 0.023 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 0.023 * [simplify]: Simplified (2) to (λ (re im) (sqrt (+ (* re re) (* im im)))) 0.035 * * [progress]: iteration 1 / 4 0.035 * * * [progress]: picking best candidate 0.038 * * * * [pick]: Picked # 0.038 * * * [progress]: localizing error 0.049 * * * [progress]: generating rewritten candidates 0.049 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.056 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.064 * * * [progress]: generating series expansions 0.064 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.064 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 0.064 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 0.064 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.064 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.064 * [taylor]: Taking taylor expansion of (pow im 2) in im 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 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.064 * [taylor]: Taking taylor expansion of re in im 0.064 * [backup-simplify]: Simplify re into re 0.064 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.065 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.065 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.065 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.065 * [backup-simplify]: Simplify (+ 0 0) into 0 0.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.065 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.065 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.065 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.066 * [taylor]: Taking taylor expansion of im in re 0.066 * [backup-simplify]: Simplify im into im 0.066 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.066 * [taylor]: Taking taylor expansion of re in re 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 1 into 1 0.066 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.066 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.066 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.066 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.066 * [backup-simplify]: Simplify (+ 0 0) into 0 0.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.066 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.066 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.066 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.067 * [taylor]: Taking taylor expansion of im in re 0.067 * [backup-simplify]: Simplify im into im 0.067 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.067 * [taylor]: Taking taylor expansion of re in re 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.067 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.067 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.067 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.067 * [backup-simplify]: Simplify (+ 0 0) into 0 0.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.067 * [taylor]: Taking taylor expansion of im in im 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 1 into 1 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [taylor]: Taking taylor expansion of 0 in im 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 1 into 1 0.068 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.068 * [backup-simplify]: Simplify (* 1 1) into 1 0.069 * [backup-simplify]: Simplify (+ 0 1) into 1 0.070 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.070 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.070 * [taylor]: Taking taylor expansion of 1/2 in im 0.070 * [backup-simplify]: Simplify 1/2 into 1/2 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 (/ 1/2 1) into 1/2 0.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.073 * [backup-simplify]: Simplify (+ 0 0) into 0 0.073 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.073 * [taylor]: Taking taylor expansion of 0 in im 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.074 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.074 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.074 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.074 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.074 * [taylor]: Taking taylor expansion of re in im 0.074 * [backup-simplify]: Simplify re into re 0.074 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.074 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.074 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.075 * [taylor]: Taking taylor expansion of im in im 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 0.075 * [backup-simplify]: Simplify (/ 1 1) into 1 0.076 * [backup-simplify]: Simplify (+ 0 1) 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 (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.078 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.078 * [taylor]: Taking taylor expansion of re in re 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.079 * [backup-simplify]: Simplify (* 1 1) into 1 0.079 * [backup-simplify]: Simplify (/ 1 1) into 1 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.079 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.079 * [taylor]: Taking taylor expansion of im in re 0.079 * [backup-simplify]: Simplify im into im 0.079 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.079 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.080 * [backup-simplify]: Simplify (+ 1 0) into 1 0.080 * [backup-simplify]: Simplify (sqrt 1) into 1 0.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.082 * [backup-simplify]: Simplify (+ 0 0) into 0 0.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.082 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.082 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.082 * [taylor]: Taking taylor expansion of re in re 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.083 * [backup-simplify]: Simplify (* 1 1) into 1 0.083 * [backup-simplify]: Simplify (/ 1 1) into 1 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.083 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.083 * [taylor]: Taking taylor expansion of im in re 0.083 * [backup-simplify]: Simplify im into im 0.083 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.083 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.084 * [backup-simplify]: Simplify (+ 1 0) into 1 0.084 * [backup-simplify]: Simplify (sqrt 1) into 1 0.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.085 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.086 * [taylor]: Taking taylor expansion of 1 in im 0.086 * [backup-simplify]: Simplify 1 into 1 0.086 * [taylor]: Taking taylor expansion of 0 in im 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.089 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.089 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.089 * [taylor]: Taking taylor expansion of 1/2 in im 0.089 * [backup-simplify]: Simplify 1/2 into 1/2 0.089 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.089 * [taylor]: Taking taylor expansion of im in im 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (* 1 1) into 1 0.090 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.093 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.094 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.094 * [taylor]: Taking taylor expansion of 0 in im 0.094 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.096 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.096 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.096 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.096 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.096 * [taylor]: Taking taylor expansion of re in im 0.096 * [backup-simplify]: Simplify re into re 0.096 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.096 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.096 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.097 * [taylor]: Taking taylor expansion of im in im 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (* 1 1) into 1 0.097 * [backup-simplify]: Simplify (/ 1 1) into 1 0.098 * [backup-simplify]: Simplify (+ 0 1) into 1 0.098 * [backup-simplify]: Simplify (sqrt 1) into 1 0.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.100 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.100 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.100 * [taylor]: Taking taylor expansion of re in re 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (* 1 1) into 1 0.101 * [backup-simplify]: Simplify (/ 1 1) into 1 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.101 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.101 * [taylor]: Taking taylor expansion of im in re 0.101 * [backup-simplify]: Simplify im into im 0.101 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.101 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.101 * [backup-simplify]: Simplify (+ 1 0) into 1 0.102 * [backup-simplify]: Simplify (sqrt 1) into 1 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.104 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.104 * [taylor]: Taking taylor expansion of re in re 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify (* 1 1) into 1 0.105 * [backup-simplify]: Simplify (/ 1 1) into 1 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.105 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.105 * [taylor]: Taking taylor expansion of im in re 0.105 * [backup-simplify]: Simplify im into im 0.105 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.105 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.105 * [backup-simplify]: Simplify (+ 1 0) into 1 0.106 * [backup-simplify]: Simplify (sqrt 1) into 1 0.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.108 * [taylor]: Taking taylor expansion of 1 in im 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [taylor]: Taking taylor expansion of 0 in im 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.111 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.111 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.111 * [taylor]: Taking taylor expansion of 1/2 in im 0.111 * [backup-simplify]: Simplify 1/2 into 1/2 0.111 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.111 * [taylor]: Taking taylor expansion of im in im 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.112 * [backup-simplify]: Simplify (* 1 1) into 1 0.112 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.116 * [backup-simplify]: Simplify (+ 0 0) into 0 0.117 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.117 * [taylor]: Taking taylor expansion of 0 in im 0.117 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 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 0.119 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.119 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.120 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2)) 0.120 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0 0.120 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.120 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.120 * [taylor]: Taking taylor expansion of im in im 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.120 * [taylor]: Taking taylor expansion of re in im 0.120 * [backup-simplify]: Simplify re into re 0.120 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.120 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.120 * [taylor]: Taking taylor expansion of im in re 0.120 * [backup-simplify]: Simplify im into im 0.120 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.120 * [taylor]: Taking taylor expansion of re in re 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.120 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.120 * [taylor]: Taking taylor expansion of im in re 0.120 * [backup-simplify]: Simplify im into im 0.120 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.120 * [taylor]: Taking taylor expansion of re in re 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.121 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.121 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.121 * [taylor]: Taking taylor expansion of im in im 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.121 * [backup-simplify]: Simplify (+ 0 0) into 0 0.121 * [taylor]: Taking taylor expansion of 0 in im 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.122 * [backup-simplify]: Simplify (* 1 1) into 1 0.123 * [backup-simplify]: Simplify (+ 0 1) into 1 0.123 * [taylor]: Taking taylor expansion of 1 in im 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify (* 1 1) into 1 0.123 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.125 * [backup-simplify]: Simplify (+ 0 0) into 0 0.125 * [taylor]: Taking taylor expansion of 0 in im 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.129 * [backup-simplify]: Simplify (+ 0 0) into 0 0.129 * [taylor]: Taking taylor expansion of 0 in im 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2)) 0.129 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 0.129 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.129 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.129 * [taylor]: Taking taylor expansion of re in im 0.129 * [backup-simplify]: Simplify re into re 0.129 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.129 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.130 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.130 * [taylor]: Taking taylor expansion of im in im 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify (* 1 1) into 1 0.130 * [backup-simplify]: Simplify (/ 1 1) into 1 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.130 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.130 * [taylor]: Taking taylor expansion of re in re 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.131 * [backup-simplify]: Simplify (* 1 1) into 1 0.131 * [backup-simplify]: Simplify (/ 1 1) into 1 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.131 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.131 * [taylor]: Taking taylor expansion of im in re 0.131 * [backup-simplify]: Simplify im into im 0.131 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.131 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.131 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.131 * [taylor]: Taking taylor expansion of re in re 0.131 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (* 1 1) into 1 0.132 * [backup-simplify]: Simplify (/ 1 1) into 1 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.132 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.132 * [taylor]: Taking taylor expansion of im in re 0.132 * [backup-simplify]: Simplify im into im 0.132 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.132 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.133 * [backup-simplify]: Simplify (+ 1 0) into 1 0.133 * [taylor]: Taking taylor expansion of 1 in im 0.133 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [taylor]: Taking taylor expansion of 0 in im 0.135 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.141 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.141 * [taylor]: Taking taylor expansion of im in im 0.141 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (* 1 1) into 1 0.142 * [backup-simplify]: Simplify (/ 1 1) into 1 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.145 * [backup-simplify]: Simplify (+ 0 0) into 0 0.145 * [taylor]: Taking taylor expansion of 0 in im 0.145 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.149 * [backup-simplify]: Simplify (+ 0 0) into 0 0.149 * [taylor]: Taking taylor expansion of 0 in im 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2)) 0.153 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 0.153 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.153 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.153 * [taylor]: Taking taylor expansion of re in im 0.153 * [backup-simplify]: Simplify re into re 0.153 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.153 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.153 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.153 * [taylor]: Taking taylor expansion of im in im 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (* 1 1) into 1 0.154 * [backup-simplify]: Simplify (/ 1 1) into 1 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.154 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.154 * [taylor]: Taking taylor expansion of re in re 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (* 1 1) into 1 0.155 * [backup-simplify]: Simplify (/ 1 1) into 1 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.155 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.155 * [taylor]: Taking taylor expansion of im in re 0.155 * [backup-simplify]: Simplify im into im 0.155 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.155 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.155 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.155 * [taylor]: Taking taylor expansion of re in re 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (* 1 1) into 1 0.156 * [backup-simplify]: Simplify (/ 1 1) into 1 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.156 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.156 * [taylor]: Taking taylor expansion of im in re 0.156 * [backup-simplify]: Simplify im into im 0.156 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.156 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.157 * [backup-simplify]: Simplify (+ 1 0) into 1 0.157 * [taylor]: Taking taylor expansion of 1 in im 0.157 * [backup-simplify]: Simplify 1 into 1 0.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [taylor]: Taking taylor expansion of 0 in im 0.159 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.161 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.161 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.161 * [taylor]: Taking taylor expansion of im in im 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (* 1 1) into 1 0.162 * [backup-simplify]: Simplify (/ 1 1) into 1 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.164 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.165 * [backup-simplify]: Simplify (+ 0 0) into 0 0.165 * [taylor]: Taking taylor expansion of 0 in im 0.165 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.169 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.170 * [backup-simplify]: Simplify (+ 0 0) into 0 0.170 * [taylor]: Taking taylor expansion of 0 in im 0.170 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2)) 0.173 * * * [progress]: simplifying candidates 0.173 * * * * [progress]: [ 1 / 34 ] simplifiying candidate # 0.173 * * * * [progress]: [ 2 / 34 ] simplifiying candidate # 0.173 * * * * [progress]: [ 3 / 34 ] simplifiying candidate # 0.173 * * * * [progress]: [ 4 / 34 ] simplifiying candidate # 0.173 * * * * [progress]: [ 5 / 34 ] simplifiying candidate # 0.173 * * * * [progress]: [ 6 / 34 ] simplifiying candidate # 0.173 * * * * [progress]: [ 7 / 34 ] simplifiying candidate # 0.173 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 0.174 * * [simplify]: iters left: 6 (8 enodes) 0.177 * * [simplify]: iters left: 5 (26 enodes) 0.184 * * [simplify]: Extracting #0: cost 1 inf + 0 0.184 * * [simplify]: Extracting #1: cost 4 inf + 0 0.184 * * [simplify]: Extracting #2: cost 7 inf + 0 0.184 * * [simplify]: Extracting #3: cost 10 inf + 0 0.184 * * [simplify]: Extracting #4: cost 14 inf + 0 0.184 * * [simplify]: Extracting #5: cost 10 inf + 84 0.184 * * [simplify]: Extracting #6: cost 8 inf + 166 0.185 * * [simplify]: Extracting #7: cost 4 inf + 854 0.185 * * [simplify]: Extracting #8: cost 1 inf + 1540 0.186 * * [simplify]: Extracting #9: cost 0 inf + 1782 0.186 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 0.186 * [simplify]: Simplified (2 1) to (λ (re im) (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) 0.186 * * * * [progress]: [ 8 / 34 ] simplifiying candidate # 0.187 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 0.187 * * [simplify]: iters left: 6 (7 enodes) 0.190 * * [simplify]: iters left: 5 (22 enodes) 0.196 * * [simplify]: Extracting #0: cost 1 inf + 0 0.196 * * [simplify]: Extracting #1: cost 3 inf + 0 0.196 * * [simplify]: Extracting #2: cost 5 inf + 0 0.196 * * [simplify]: Extracting #3: cost 8 inf + 0 0.196 * * [simplify]: Extracting #4: cost 12 inf + 0 0.196 * * [simplify]: Extracting #5: cost 10 inf + 2 0.196 * * [simplify]: Extracting #6: cost 1 inf + 936 0.197 * * [simplify]: Extracting #7: cost 0 inf + 1138 0.197 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 0.197 * [simplify]: Simplified (2 1) to (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) 0.197 * * * * [progress]: [ 9 / 34 ] simplifiying candidate # 0.198 * [simplify]: Simplifying (sqrt 1) 0.198 * * [simplify]: iters left: 1 (2 enodes) 0.201 * * [simplify]: Extracting #0: cost 1 inf + 0 0.201 * * [simplify]: Extracting #1: cost 0 inf + 1 0.201 * [simplify]: Simplified to 1 0.201 * [simplify]: Simplified (2 1) to (λ (re im) (* 1 (sqrt (+ (* re re) (* im im))))) 0.201 * * * * [progress]: [ 10 / 34 ] simplifiying candidate # 0.201 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 0.202 * * [simplify]: iters left: 6 (9 enodes) 0.207 * * [simplify]: iters left: 5 (45 enodes) 0.227 * * [simplify]: iters left: 4 (100 enodes) 0.261 * * [simplify]: iters left: 3 (201 enodes) 0.316 * * [simplify]: iters left: 2 (406 enodes) 0.430 * * [simplify]: Extracting #0: cost 1 inf + 0 0.430 * * [simplify]: Extracting #1: cost 3 inf + 0 0.430 * * [simplify]: Extracting #2: cost 6 inf + 0 0.431 * * [simplify]: Extracting #3: cost 62 inf + 0 0.432 * * [simplify]: Extracting #4: cost 166 inf + 460 0.435 * * [simplify]: Extracting #5: cost 131 inf + 12951 0.442 * * [simplify]: Extracting #6: cost 49 inf + 45746 0.454 * * [simplify]: Extracting #7: cost 1 inf + 66256 0.464 * * [simplify]: Extracting #8: cost 0 inf + 65919 0.474 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 0.474 * [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))))))) 0.474 * * * * [progress]: [ 11 / 34 ] simplifiying candidate # 0.475 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 0.475 * * [simplify]: iters left: 6 (8 enodes) 0.479 * * [simplify]: iters left: 5 (37 enodes) 0.487 * * [simplify]: iters left: 4 (67 enodes) 0.498 * * [simplify]: iters left: 3 (123 enodes) 0.542 * * [simplify]: iters left: 2 (278 enodes) 0.657 * * [simplify]: Extracting #0: cost 1 inf + 0 0.657 * * [simplify]: Extracting #1: cost 3 inf + 0 0.657 * * [simplify]: Extracting #2: cost 50 inf + 0 0.657 * * [simplify]: Extracting #3: cost 150 inf + 0 0.658 * * [simplify]: Extracting #4: cost 194 inf + 1180 0.661 * * [simplify]: Extracting #5: cost 123 inf + 12421 0.671 * * [simplify]: Extracting #6: cost 12 inf + 33804 0.686 * * [simplify]: Extracting #7: cost 0 inf + 36129 0.701 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 0.701 * [simplify]: Simplified (2 1) to (λ (re im) (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))))) 0.701 * * * * [progress]: [ 12 / 34 ] simplifiying candidate # 0.701 * [simplify]: Simplifying (+ (* re re) (* im im)) 0.701 * * [simplify]: iters left: 4 (5 enodes) 0.704 * * [simplify]: iters left: 3 (16 enodes) 0.708 * * [simplify]: Extracting #0: cost 1 inf + 0 0.709 * * [simplify]: Extracting #1: cost 4 inf + 0 0.709 * * [simplify]: Extracting #2: cost 8 inf + 0 0.709 * * [simplify]: Extracting #3: cost 4 inf + 84 0.709 * * [simplify]: Extracting #4: cost 0 inf + 410 0.709 * [simplify]: Simplified to (+ (* re re) (* im im)) 0.709 * [simplify]: Simplified (2 1) to (λ (re im) (pow (+ (* re re) (* im im)) (/ 1 2))) 0.709 * * * * [progress]: [ 13 / 34 ] simplifiying candidate # 0.709 * * * * [progress]: [ 14 / 34 ] simplifiying candidate # 0.710 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 0.710 * * [simplify]: iters left: 5 (6 enodes) 0.713 * * [simplify]: iters left: 4 (19 enodes) 0.718 * * [simplify]: Extracting #0: cost 1 inf + 0 0.718 * * [simplify]: Extracting #1: cost 3 inf + 0 0.718 * * [simplify]: Extracting #2: cost 6 inf + 0 0.718 * * [simplify]: Extracting #3: cost 10 inf + 0 0.718 * * [simplify]: Extracting #4: cost 6 inf + 84 0.718 * * [simplify]: Extracting #5: cost 0 inf + 734 0.719 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 0.719 * [simplify]: Simplified (2 1) to (λ (re im) (fabs (sqrt (+ (* re re) (* im im))))) 0.719 * * * * [progress]: [ 15 / 34 ] simplifiying candidate # 0.719 * * * * [progress]: [ 16 / 34 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))> 0.719 * * * * [progress]: [ 17 / 34 ] simplifiying candidate # 0.719 * [simplify]: Simplifying (* (exp (* re re)) (exp (* im im))) 0.719 * * [simplify]: iters left: 5 (7 enodes) 0.728 * * [simplify]: iters left: 4 (28 enodes) 0.735 * * [simplify]: iters left: 3 (43 enodes) 0.747 * * [simplify]: iters left: 2 (75 enodes) 0.774 * * [simplify]: iters left: 1 (169 enodes) 0.880 * * [simplify]: Extracting #0: cost 1 inf + 0 0.881 * * [simplify]: Extracting #1: cost 28 inf + 0 0.881 * * [simplify]: Extracting #2: cost 119 inf + 0 0.882 * * [simplify]: Extracting #3: cost 136 inf + 1135 0.884 * * [simplify]: Extracting #4: cost 131 inf + 1568 0.886 * * [simplify]: Extracting #5: cost 99 inf + 8302 0.896 * * [simplify]: Extracting #6: cost 11 inf + 60490 0.911 * * [simplify]: Extracting #7: cost 0 inf + 69564 0.926 * [simplify]: Simplified to (exp (+ (* re re) (* im im))) 0.926 * [simplify]: Simplified (2 1 1) to (λ (re im) (sqrt (log (exp (+ (* re re) (* im im)))))) 0.926 * * * * [progress]: [ 18 / 34 ] simplifiying candidate # 0.926 * * * * [progress]: [ 19 / 34 ] simplifiying candidate # 0.926 * * * * [progress]: [ 20 / 34 ] simplifiying candidate # 0.926 * * * * [progress]: [ 21 / 34 ] simplifiying candidate # 0.926 * * * * [progress]: [ 22 / 34 ] simplifiying candidate # 0.926 * * * * [progress]: [ 23 / 34 ] simplifiying candidate # 0.926 * * * * [progress]: [ 24 / 34 ] simplifiying candidate # 0.927 * * * * [progress]: [ 25 / 34 ] simplifiying candidate # 0.927 * * * * [progress]: [ 26 / 34 ] simplifiying candidate # 0.927 * * * * [progress]: [ 27 / 34 ] simplifiying candidate #real (real->posit16 (+ (* re re) (* im im))))))> 0.927 * * * * [progress]: [ 28 / 34 ] simplifiying candidate # 0.927 * * * * [progress]: [ 29 / 34 ] simplifiying candidate # 0.927 * [simplify]: Simplifying im 0.927 * * [simplify]: iters left: 0 (1 enodes) 0.928 * * [simplify]: Extracting #0: cost 1 inf + 0 0.928 * * [simplify]: Extracting #1: cost 0 inf + 1 0.928 * [simplify]: Simplified to im 0.928 * [simplify]: Simplified (2) to (λ (re im) im) 0.928 * * * * [progress]: [ 30 / 34 ] simplifiying candidate # 0.928 * [simplify]: Simplifying re 0.928 * * [simplify]: iters left: 0 (1 enodes) 0.929 * * [simplify]: Extracting #0: cost 1 inf + 0 0.929 * * [simplify]: Extracting #1: cost 0 inf + 1 0.929 * [simplify]: Simplified to re 0.929 * [simplify]: Simplified (2) to (λ (re im) re) 0.929 * * * * [progress]: [ 31 / 34 ] simplifiying candidate # 0.929 * [simplify]: Simplifying (* -1 re) 0.929 * * [simplify]: iters left: 2 (3 enodes) 0.931 * * [simplify]: iters left: 1 (11 enodes) 0.934 * * [simplify]: Extracting #0: cost 1 inf + 0 0.934 * * [simplify]: Extracting #1: cost 4 inf + 0 0.934 * * [simplify]: Extracting #2: cost 0 inf + 84 0.934 * [simplify]: Simplified to (- re) 0.934 * [simplify]: Simplified (2) to (λ (re im) (- re)) 0.934 * * * * [progress]: [ 32 / 34 ] simplifiying candidate # 0.935 * [simplify]: Simplifying (+ (pow im 2) (pow re 2)) 0.935 * * [simplify]: iters left: 3 (6 enodes) 0.938 * * [simplify]: iters left: 2 (27 enodes) 0.946 * * [simplify]: iters left: 1 (31 enodes) 0.954 * * [simplify]: Extracting #0: cost 1 inf + 0 0.954 * * [simplify]: Extracting #1: cost 4 inf + 0 0.955 * * [simplify]: Extracting #2: cost 9 inf + 0 0.955 * * [simplify]: Extracting #3: cost 6 inf + 3 0.955 * * [simplify]: Extracting #4: cost 1 inf + 370 0.955 * * [simplify]: Extracting #5: cost 0 inf + 411 0.955 * [simplify]: Simplified to (+ (* im im) (* re re)) 0.955 * [simplify]: Simplified (2 1) to (λ (re im) (sqrt (+ (* im im) (* re re)))) 0.955 * * * * [progress]: [ 33 / 34 ] simplifiying candidate # 0.956 * [simplify]: Simplifying (+ (pow im 2) (pow re 2)) 0.956 * * [simplify]: iters left: 3 (6 enodes) 0.960 * * [simplify]: iters left: 2 (27 enodes) 0.969 * * [simplify]: iters left: 1 (31 enodes) 0.974 * * [simplify]: Extracting #0: cost 1 inf + 0 0.974 * * [simplify]: Extracting #1: cost 4 inf + 0 0.974 * * [simplify]: Extracting #2: cost 9 inf + 0 0.974 * * [simplify]: Extracting #3: cost 6 inf + 3 0.974 * * [simplify]: Extracting #4: cost 1 inf + 370 0.974 * * [simplify]: Extracting #5: cost 0 inf + 411 0.974 * [simplify]: Simplified to (+ (* im im) (* re re)) 0.974 * [simplify]: Simplified (2 1) to (λ (re im) (sqrt (+ (* im im) (* re re)))) 0.974 * * * * [progress]: [ 34 / 34 ] simplifiying candidate # 0.974 * [simplify]: Simplifying (+ (pow im 2) (pow re 2)) 0.974 * * [simplify]: iters left: 3 (6 enodes) 0.976 * * [simplify]: iters left: 2 (27 enodes) 0.980 * * [simplify]: iters left: 1 (31 enodes) 0.987 * * [simplify]: Extracting #0: cost 1 inf + 0 0.987 * * [simplify]: Extracting #1: cost 4 inf + 0 0.987 * * [simplify]: Extracting #2: cost 9 inf + 0 0.987 * * [simplify]: Extracting #3: cost 6 inf + 3 0.987 * * [simplify]: Extracting #4: cost 1 inf + 370 0.987 * * [simplify]: Extracting #5: cost 0 inf + 411 0.988 * [simplify]: Simplified to (+ (* im im) (* re re)) 0.988 * [simplify]: Simplified (2 1) to (λ (re im) (sqrt (+ (* im im) (* re re)))) 0.988 * * * [progress]: adding candidates to table 1.250 * * [progress]: iteration 2 / 4 1.250 * * * [progress]: picking best candidate 1.254 * * * * [pick]: Picked # 1.255 * * * [progress]: localizing error 1.257 * * * [progress]: generating rewritten candidates 1.257 * * * [progress]: generating series expansions 1.257 * * * [progress]: simplifying candidates 1.257 * * * [progress]: adding candidates to table 1.258 * * [progress]: iteration 3 / 4 1.258 * * * [progress]: picking best candidate 1.261 * * * * [pick]: Picked # 1.261 * * * [progress]: localizing error 1.262 * * * [progress]: generating rewritten candidates 1.262 * * * [progress]: generating series expansions 1.262 * * * [progress]: simplifying candidates 1.262 * * * [progress]: adding candidates to table 1.262 * * [progress]: iteration 4 / 4 1.262 * * * [progress]: picking best candidate 1.264 * * * * [pick]: Picked # 1.264 * * * [progress]: localizing error 1.264 * * * [progress]: generating rewritten candidates 1.264 * * * [progress]: generating series expansions 1.264 * * * [progress]: simplifying candidates 1.264 * * * [progress]: adding candidates to table 1.265 * [progress]: [Phase 3 of 3] Extracting. 1.265 * * [regime]: Finding splitpoints for: (# # # #) 1.265 * * * [regime-changes]: Trying 6 branch expressions: (im (* im im) re (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) 1.265 * * * * [regimes]: Trying to branch on im from (# # # #) 1.310 * * * * [regimes]: Trying to branch on (* im im) from (# # # #) 1.337 * * * * [regimes]: Trying to branch on (* im im) from (# # #) 1.372 * * * * [regimes]: Trying to branch on re from (# # # #) 1.415 * * * * [regimes]: Trying to branch on (* re re) from (# # # #) 1.443 * * * * [regimes]: Trying to branch on (* re re) from (# #) 1.482 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# # # #) 1.532 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# # # #) 1.567 * * * [regime]: Found split indices: #