11.924 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) 0.017 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h0 h0) (* h1 h1)))) 0.020 * * [simplify]: iteration 0 : 10 enodes (cost 5 ) 0.021 * * [simplify]: iteration 1 : 12 enodes (cost 5 ) 0.022 * * [simplify]: iteration 2 : 12 enodes (cost 5 ) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.031 * * * [progress]: generating rewritten candidates 0.031 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.042 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.050 * * * [progress]: generating series expansions 0.050 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.050 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.050 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.050 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.050 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.050 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.050 * [taylor]: Taking taylor expansion of re in im 0.050 * [backup-simplify]: Simplify re into re 0.050 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.050 * [taylor]: Taking taylor expansion of im in im 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 1 into 1 0.051 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.051 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.051 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.051 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.051 * [backup-simplify]: Simplify (+ 0 0) into 0 0.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.051 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.051 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.051 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.051 * [taylor]: Taking taylor expansion of re in re 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.052 * [taylor]: Taking taylor expansion of im in re 0.052 * [backup-simplify]: Simplify im into im 0.052 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.052 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.052 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.052 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.052 * [backup-simplify]: Simplify (+ 0 0) into 0 0.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.052 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.052 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.052 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.052 * [taylor]: Taking taylor expansion of re in re 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 1 into 1 0.052 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.052 * [taylor]: Taking taylor expansion of im in re 0.052 * [backup-simplify]: Simplify im into im 0.052 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.052 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.052 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.053 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.053 * [backup-simplify]: Simplify (+ 0 0) into 0 0.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.053 * [taylor]: Taking taylor expansion of im in im 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [taylor]: Taking taylor expansion of 0 in im 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [backup-simplify]: Simplify (* 1 1) into 1 0.054 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.054 * [backup-simplify]: Simplify (+ 1 0) into 1 0.054 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.054 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.054 * [taylor]: Taking taylor expansion of 1/2 in im 0.054 * [backup-simplify]: Simplify 1/2 into 1/2 0.054 * [taylor]: Taking taylor expansion of im in im 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 1 into 1 0.055 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.056 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.056 * [backup-simplify]: Simplify (+ 0 0) into 0 0.056 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.056 * [taylor]: Taking taylor expansion of 0 in im 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.057 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.057 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.057 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.057 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.057 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.057 * [taylor]: Taking taylor expansion of im in im 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 1 into 1 0.058 * [backup-simplify]: Simplify (* 1 1) into 1 0.058 * [backup-simplify]: Simplify (/ 1 1) into 1 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.058 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.058 * [taylor]: Taking taylor expansion of re in im 0.058 * [backup-simplify]: Simplify re into re 0.058 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.058 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.058 * [backup-simplify]: Simplify (+ 1 0) into 1 0.059 * [backup-simplify]: Simplify (sqrt 1) into 1 0.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.059 * [backup-simplify]: Simplify (+ 0 0) into 0 0.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.060 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.060 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.060 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.060 * [taylor]: Taking taylor expansion of im in re 0.060 * [backup-simplify]: Simplify im into im 0.060 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.060 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.060 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.060 * [taylor]: Taking taylor expansion of re in re 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 1 into 1 0.060 * [backup-simplify]: Simplify (* 1 1) into 1 0.061 * [backup-simplify]: Simplify (/ 1 1) into 1 0.061 * [backup-simplify]: Simplify (+ 0 1) into 1 0.061 * [backup-simplify]: Simplify (sqrt 1) into 1 0.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.062 * [backup-simplify]: Simplify (+ 0 0) into 0 0.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.062 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow im 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 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.063 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 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 (* 1 1) into 1 0.063 * [backup-simplify]: Simplify (/ 1 1) into 1 0.063 * [backup-simplify]: Simplify (+ 0 1) into 1 0.064 * [backup-simplify]: Simplify (sqrt 1) into 1 0.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.065 * [backup-simplify]: Simplify (+ 0 0) into 0 0.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.065 * [taylor]: Taking taylor expansion of 1 in im 0.065 * [backup-simplify]: Simplify 1 into 1 0.065 * [taylor]: Taking taylor expansion of 0 in im 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.066 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.067 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.067 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.067 * [taylor]: Taking taylor expansion of 1/2 in im 0.067 * [backup-simplify]: Simplify 1/2 into 1/2 0.067 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.067 * [taylor]: Taking taylor expansion of im in im 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.068 * [backup-simplify]: Simplify (* 1 1) into 1 0.068 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 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 0 into 0 0.069 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.069 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.070 * [backup-simplify]: Simplify (+ 0 0) into 0 0.071 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.071 * [taylor]: Taking taylor expansion of 0 in im 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.072 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.072 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.072 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.072 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.072 * [taylor]: Taking taylor expansion of im in im 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 1 into 1 0.072 * [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 re 2)) in im 0.073 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.073 * [taylor]: Taking taylor expansion of re in im 0.073 * [backup-simplify]: Simplify re into re 0.073 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.073 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 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 im 2)) (/ 1 (pow re 2)))) in re 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.075 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.075 * [taylor]: Taking taylor expansion of im in re 0.075 * [backup-simplify]: Simplify im into im 0.075 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.075 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 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 0.075 * [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 0.076 * [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 0.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.077 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.077 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.077 * [taylor]: Taking taylor expansion of im in re 0.077 * [backup-simplify]: Simplify im into im 0.077 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.077 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.077 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.077 * [taylor]: Taking taylor expansion of re in re 0.077 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [backup-simplify]: Simplify (* 1 1) into 1 0.078 * [backup-simplify]: Simplify (/ 1 1) into 1 0.078 * [backup-simplify]: Simplify (+ 0 1) into 1 0.078 * [backup-simplify]: Simplify (sqrt 1) into 1 0.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.080 * [taylor]: Taking taylor expansion of 1 in im 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [taylor]: Taking taylor expansion of 0 in im 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.081 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.082 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.082 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.082 * [taylor]: Taking taylor expansion of 1/2 in im 0.082 * [backup-simplify]: Simplify 1/2 into 1/2 0.082 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.082 * [taylor]: Taking taylor expansion of im in im 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (* 1 1) into 1 0.082 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 0 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 0.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.085 * [backup-simplify]: Simplify (+ 0 0) into 0 0.085 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.085 * [taylor]: Taking taylor expansion of 0 in im 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.086 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 0.086 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 0.086 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.086 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.086 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.086 * [taylor]: Taking taylor expansion of re in im 0.086 * [backup-simplify]: Simplify re into re 0.086 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.086 * [taylor]: Taking taylor expansion of im in im 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.086 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.086 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.086 * [taylor]: Taking taylor expansion of re in re 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.086 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.087 * [taylor]: Taking taylor expansion of im in re 0.087 * [backup-simplify]: Simplify im into im 0.087 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.087 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.087 * [taylor]: Taking taylor expansion of re in re 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 1 into 1 0.087 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.087 * [taylor]: Taking taylor expansion of im in re 0.087 * [backup-simplify]: Simplify im into im 0.087 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.087 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.087 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.087 * [taylor]: Taking taylor expansion of im in im 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 1 into 1 0.087 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.087 * [backup-simplify]: Simplify (+ 0 0) into 0 0.087 * [taylor]: Taking taylor expansion of 0 in im 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (* 1 1) into 1 0.088 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.088 * [backup-simplify]: Simplify (+ 1 0) into 1 0.088 * [taylor]: Taking taylor expansion of 1 in im 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (* 1 1) into 1 0.088 * [backup-simplify]: Simplify 1 into 1 0.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.089 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.089 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [taylor]: Taking taylor expansion of 0 in im 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.091 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.091 * [backup-simplify]: Simplify (+ 0 0) into 0 0.091 * [taylor]: Taking taylor expansion of 0 in im 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 0.092 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.092 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.092 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.092 * [taylor]: Taking taylor expansion of im in im 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [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 re 2)) in im 0.092 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.092 * [taylor]: Taking taylor expansion of re in im 0.092 * [backup-simplify]: Simplify re into re 0.092 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.092 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 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 0.093 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.093 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.093 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.093 * [taylor]: Taking taylor expansion of re in re 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify (* 1 1) into 1 0.093 * [backup-simplify]: Simplify (/ 1 1) into 1 0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.093 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.093 * [taylor]: Taking taylor expansion of im in re 0.093 * [backup-simplify]: Simplify im into im 0.093 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.093 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.093 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.093 * [taylor]: Taking taylor expansion of re in re 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 1 into 1 0.094 * [backup-simplify]: Simplify (* 1 1) into 1 0.094 * [backup-simplify]: Simplify (/ 1 1) into 1 0.094 * [backup-simplify]: Simplify (+ 0 1) into 1 0.094 * [taylor]: Taking taylor expansion of 1 in im 0.094 * [backup-simplify]: Simplify 1 into 1 0.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [taylor]: Taking taylor expansion of 0 in im 0.095 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.096 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 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 0.096 * [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 1) into 1 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify (+ 0 0) into 0 0.098 * [taylor]: Taking taylor expansion of 0 in im 0.098 * [backup-simplify]: Simplify 0 into 0 0.099 * [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 into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.101 * [backup-simplify]: Simplify (+ 0 0) into 0 0.101 * [taylor]: Taking taylor expansion of 0 in im 0.101 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.103 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.103 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.103 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.103 * [taylor]: Taking taylor expansion of im in im 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (* 1 1) into 1 0.103 * [backup-simplify]: Simplify (/ 1 1) into 1 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.103 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.103 * [taylor]: Taking taylor expansion of re in im 0.103 * [backup-simplify]: Simplify re into re 0.103 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.103 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.103 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.103 * [taylor]: Taking taylor expansion of im in re 0.103 * [backup-simplify]: Simplify im into im 0.103 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.104 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 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 0.104 * [backup-simplify]: Simplify (/ 1 1) into 1 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.104 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.104 * [taylor]: Taking taylor expansion of im in re 0.104 * [backup-simplify]: Simplify im into im 0.104 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.104 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 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 0.105 * [backup-simplify]: Simplify (* 1 1) into 1 0.105 * [backup-simplify]: Simplify (/ 1 1) into 1 0.105 * [backup-simplify]: Simplify (+ 0 1) into 1 0.105 * [taylor]: Taking taylor expansion of 1 in im 0.105 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify (+ 0 0) into 0 0.106 * [taylor]: Taking taylor expansion of 0 in im 0.106 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.107 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.107 * [taylor]: Taking taylor expansion of im in im 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (* 1 1) into 1 0.108 * [backup-simplify]: Simplify (/ 1 1) into 1 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify (+ 0 0) into 0 0.109 * [taylor]: Taking taylor expansion of 0 in im 0.109 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 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 0.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.113 * * * [progress]: simplifying candidates 0.114 * [simplify]: Simplifying: (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (+ (* re re) (* im im))) (log1p (+ (* re re) (* im im))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.114 * [simplify]: Sending expressions to egg_math: (expm1 (sqrt (+ (* h0 h0) (* h1 h1)))) (log1p (sqrt (+ (* h0 h0) (* h1 h1)))) (log (sqrt (+ (* h0 h0) (* h1 h1)))) (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (expm1 (+ (* h0 h0) (* h1 h1))) (log1p (+ (* h0 h0) (* h1 h1))) (* (exp (* h0 h0)) (exp (* h1 h1))) (log (+ (* h0 h0) (* h1 h1))) (exp (+ (* h0 h0) (* h1 h1))) (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1))) (* (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))) (- (* h0 h0) (* h1 h1)) h1 h0 (* -1 h0) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) 0.117 * * [simplify]: iteration 0 : 136 enodes (cost 177 ) 0.120 * * [simplify]: iteration 1 : 589 enodes (cost 162 ) 0.128 * * [simplify]: iteration 2 : 1761 enodes (cost 158 ) 0.164 * * [simplify]: iteration 3 : 5002 enodes (cost 156 ) 0.165 * * * [progress]: adding candidates to table 0.256 * * [progress]: iteration 2 / 4 0.256 * * * [progress]: picking best candidate 0.258 * * * * [pick]: Picked # 0.258 * * * [progress]: localizing error 0.264 * * * [progress]: generating rewritten candidates 0.264 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 2) 0.264 * * * [progress]: generating series expansions 0.264 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 2) 0.264 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 0.264 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.264 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.264 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.265 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.265 * [taylor]: Taking taylor expansion of (* re re) in im 0.265 * [taylor]: Taking taylor expansion of re in im 0.265 * [backup-simplify]: Simplify re into re 0.265 * [taylor]: Taking taylor expansion of re in im 0.265 * [backup-simplify]: Simplify re into re 0.265 * [taylor]: Taking taylor expansion of (* im im) in im 0.265 * [taylor]: Taking taylor expansion of im in im 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [taylor]: Taking taylor expansion of im in im 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.265 * [backup-simplify]: Simplify (* 0 0) into 0 0.265 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.265 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.265 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.266 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.266 * [backup-simplify]: Simplify (+ 0 0) into 0 0.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.266 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.266 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.266 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.266 * [taylor]: Taking taylor expansion of (* re re) in re 0.266 * [taylor]: Taking taylor expansion of re in re 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [taylor]: Taking taylor expansion of re in re 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [taylor]: Taking taylor expansion of (* im im) in re 0.266 * [taylor]: Taking taylor expansion of im in re 0.266 * [backup-simplify]: Simplify im into im 0.266 * [taylor]: Taking taylor expansion of im in re 0.266 * [backup-simplify]: Simplify im into im 0.267 * [backup-simplify]: Simplify (* 0 0) into 0 0.267 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.267 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.267 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.267 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.267 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.267 * [backup-simplify]: Simplify (+ 0 0) into 0 0.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.268 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.268 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.268 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.268 * [taylor]: Taking taylor expansion of (* re re) in re 0.268 * [taylor]: Taking taylor expansion of re in re 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [taylor]: Taking taylor expansion of re in re 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [taylor]: Taking taylor expansion of (* im im) in re 0.268 * [taylor]: Taking taylor expansion of im in re 0.268 * [backup-simplify]: Simplify im into im 0.268 * [taylor]: Taking taylor expansion of im in re 0.268 * [backup-simplify]: Simplify im into im 0.268 * [backup-simplify]: Simplify (* 0 0) into 0 0.268 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.268 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.268 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.269 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.269 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.269 * [taylor]: Taking taylor expansion of im in im 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [taylor]: Taking taylor expansion of 0 in im 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.270 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.270 * [backup-simplify]: Simplify (+ 1 0) into 1 0.271 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.271 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.271 * [taylor]: Taking taylor expansion of 1/2 in im 0.271 * [backup-simplify]: Simplify 1/2 into 1/2 0.271 * [taylor]: Taking taylor expansion of im in im 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.272 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.273 * [backup-simplify]: Simplify (+ 0 0) into 0 0.273 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.273 * [taylor]: Taking taylor expansion of 0 in im 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.274 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 0.274 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.274 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.274 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.274 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.274 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.274 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.274 * [taylor]: Taking taylor expansion of re in im 0.274 * [backup-simplify]: Simplify re into re 0.274 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.274 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.274 * [taylor]: Taking taylor expansion of re in im 0.274 * [backup-simplify]: Simplify re into re 0.274 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.274 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.274 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.274 * [taylor]: Taking taylor expansion of im in im 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [backup-simplify]: Simplify (/ 1 1) into 1 0.274 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.274 * [taylor]: Taking taylor expansion of im in im 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [backup-simplify]: Simplify (/ 1 1) into 1 0.275 * [backup-simplify]: Simplify (* 1 1) into 1 0.275 * [backup-simplify]: Simplify (+ 0 1) into 1 0.275 * [backup-simplify]: Simplify (sqrt 1) into 1 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.277 * [backup-simplify]: Simplify (+ 0 0) into 0 0.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.277 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.277 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.277 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.277 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.277 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.277 * [taylor]: Taking taylor expansion of re in re 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 1 into 1 0.277 * [backup-simplify]: Simplify (/ 1 1) into 1 0.277 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.277 * [taylor]: Taking taylor expansion of re in re 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify (/ 1 1) into 1 0.278 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.278 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.278 * [taylor]: Taking taylor expansion of im in re 0.278 * [backup-simplify]: Simplify im into im 0.278 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.278 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.278 * [taylor]: Taking taylor expansion of im in re 0.278 * [backup-simplify]: Simplify im into im 0.278 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.278 * [backup-simplify]: Simplify (* 1 1) into 1 0.278 * [backup-simplify]: Simplify (+ 1 0) into 1 0.279 * [backup-simplify]: Simplify (sqrt 1) into 1 0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.280 * [backup-simplify]: Simplify (+ 0 0) into 0 0.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.280 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.280 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.280 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.280 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.280 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.280 * [taylor]: Taking taylor expansion of re in re 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify 1 into 1 0.281 * [backup-simplify]: Simplify (/ 1 1) into 1 0.281 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.281 * [taylor]: Taking taylor expansion of re in re 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [backup-simplify]: Simplify (/ 1 1) into 1 0.281 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.281 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.281 * [taylor]: Taking taylor expansion of im in re 0.281 * [backup-simplify]: Simplify im into im 0.281 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.281 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.281 * [taylor]: Taking taylor expansion of im in re 0.281 * [backup-simplify]: Simplify im into im 0.281 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.281 * [backup-simplify]: Simplify (* 1 1) into 1 0.282 * [backup-simplify]: Simplify (+ 1 0) into 1 0.282 * [backup-simplify]: Simplify (sqrt 1) into 1 0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.283 * [backup-simplify]: Simplify (+ 0 0) into 0 0.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.284 * [taylor]: Taking taylor expansion of 1 in im 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [taylor]: Taking taylor expansion of 0 in im 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.285 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.286 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.286 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.286 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.286 * [taylor]: Taking taylor expansion of 1/2 in im 0.286 * [backup-simplify]: Simplify 1/2 into 1/2 0.286 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.286 * [taylor]: Taking taylor expansion of im in im 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (* 1 1) into 1 0.287 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.289 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.290 * [backup-simplify]: Simplify (+ 0 0) into 0 0.290 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.290 * [taylor]: Taking taylor expansion of 0 in im 0.290 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.291 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 0.291 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.291 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.291 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.291 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.291 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.292 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.292 * [taylor]: Taking taylor expansion of -1 in im 0.292 * [backup-simplify]: Simplify -1 into -1 0.292 * [taylor]: Taking taylor expansion of re in im 0.292 * [backup-simplify]: Simplify re into re 0.292 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.292 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.292 * [taylor]: Taking taylor expansion of -1 in im 0.292 * [backup-simplify]: Simplify -1 into -1 0.292 * [taylor]: Taking taylor expansion of re in im 0.292 * [backup-simplify]: Simplify re into re 0.292 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.292 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.292 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.292 * [taylor]: Taking taylor expansion of -1 in im 0.292 * [backup-simplify]: Simplify -1 into -1 0.292 * [taylor]: Taking taylor expansion of im in im 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [backup-simplify]: Simplify (/ -1 1) into -1 0.292 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.292 * [taylor]: Taking taylor expansion of -1 in im 0.292 * [backup-simplify]: Simplify -1 into -1 0.292 * [taylor]: Taking taylor expansion of im in im 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [backup-simplify]: Simplify (/ -1 1) into -1 0.293 * [backup-simplify]: Simplify (* -1 -1) into 1 0.293 * [backup-simplify]: Simplify (+ 0 1) into 1 0.293 * [backup-simplify]: Simplify (sqrt 1) into 1 0.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.294 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.298 * [backup-simplify]: Simplify (+ 0 0) into 0 0.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.298 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.299 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.299 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.299 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.299 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.299 * [taylor]: Taking taylor expansion of -1 in re 0.299 * [backup-simplify]: Simplify -1 into -1 0.299 * [taylor]: Taking taylor expansion of re in re 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 1 into 1 0.299 * [backup-simplify]: Simplify (/ -1 1) into -1 0.299 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.299 * [taylor]: Taking taylor expansion of -1 in re 0.299 * [backup-simplify]: Simplify -1 into -1 0.299 * [taylor]: Taking taylor expansion of re in re 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 1 into 1 0.299 * [backup-simplify]: Simplify (/ -1 1) into -1 0.299 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.299 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.299 * [taylor]: Taking taylor expansion of -1 in re 0.299 * [backup-simplify]: Simplify -1 into -1 0.299 * [taylor]: Taking taylor expansion of im in re 0.299 * [backup-simplify]: Simplify im into im 0.299 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.299 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.299 * [taylor]: Taking taylor expansion of -1 in re 0.299 * [backup-simplify]: Simplify -1 into -1 0.299 * [taylor]: Taking taylor expansion of im in re 0.299 * [backup-simplify]: Simplify im into im 0.300 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.300 * [backup-simplify]: Simplify (* -1 -1) into 1 0.300 * [backup-simplify]: Simplify (+ 1 0) into 1 0.300 * [backup-simplify]: Simplify (sqrt 1) into 1 0.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.301 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.302 * [backup-simplify]: Simplify (+ 0 0) into 0 0.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.302 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.302 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.302 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.302 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.302 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.302 * [taylor]: Taking taylor expansion of -1 in re 0.302 * [backup-simplify]: Simplify -1 into -1 0.302 * [taylor]: Taking taylor expansion of re in re 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (/ -1 1) into -1 0.303 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.303 * [taylor]: Taking taylor expansion of -1 in re 0.303 * [backup-simplify]: Simplify -1 into -1 0.303 * [taylor]: Taking taylor expansion of re in re 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (/ -1 1) into -1 0.303 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.303 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.303 * [taylor]: Taking taylor expansion of -1 in re 0.303 * [backup-simplify]: Simplify -1 into -1 0.303 * [taylor]: Taking taylor expansion of im in re 0.303 * [backup-simplify]: Simplify im into im 0.303 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.303 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.303 * [taylor]: Taking taylor expansion of -1 in re 0.303 * [backup-simplify]: Simplify -1 into -1 0.303 * [taylor]: Taking taylor expansion of im in re 0.303 * [backup-simplify]: Simplify im into im 0.303 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.303 * [backup-simplify]: Simplify (* -1 -1) into 1 0.304 * [backup-simplify]: Simplify (+ 1 0) into 1 0.304 * [backup-simplify]: Simplify (sqrt 1) into 1 0.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.305 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.306 * [taylor]: Taking taylor expansion of 1 in im 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [taylor]: Taking taylor expansion of 0 in im 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.307 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.307 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.307 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.308 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.308 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.308 * [taylor]: Taking taylor expansion of 1/2 in im 0.308 * [backup-simplify]: Simplify 1/2 into 1/2 0.308 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.308 * [taylor]: Taking taylor expansion of im in im 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (* 1 1) into 1 0.309 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.311 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.311 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.311 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.312 * [backup-simplify]: Simplify (+ 0 0) into 0 0.312 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.312 * [taylor]: Taking taylor expansion of 0 in im 0.312 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.313 * * * [progress]: simplifying candidates 0.314 * [simplify]: Simplifying: (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) im re (* -1 re) 0.314 * [simplify]: Sending expressions to egg_math: (expm1 (hypot h0 h1)) (log1p (hypot h0 h1)) (+ (* h0 h0) (* h1 h1)) (log (hypot h0 h1)) (exp (hypot h0 h1)) (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)) (* (* (hypot h0 h1) (hypot h0 h1)) (hypot h0 h1)) (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)) h1 h0 (* -1 h0) 0.316 * * [simplify]: iteration 0 : 22 enodes (cost 27 ) 0.317 * * [simplify]: iteration 1 : 25 enodes (cost 24 ) 0.318 * * [simplify]: iteration 2 : 29 enodes (cost 24 ) 0.320 * * [simplify]: iteration 3 : 34 enodes (cost 24 ) 0.321 * * [simplify]: iteration 4 : 53 enodes (cost 24 ) 0.323 * * [simplify]: iteration 5 : 107 enodes (cost 24 ) 0.328 * * [simplify]: iteration 6 : 513 enodes (cost 24 ) 0.342 * * [simplify]: iteration 7 : 1687 enodes (cost 24 ) 0.405 * * [simplify]: iteration 8 : 5001 enodes (cost 24 ) 0.406 * * * [progress]: adding candidates to table 0.437 * [progress]: [Phase 3 of 3] Extracting. 0.438 * [simplify]: Simplifying: (log (* 1 (hypot re im))) 0.438 * [simplify]: Sending expressions to egg_math: (log (* 1 (hypot h0 h1))) 0.439 * * [simplify]: iteration 0 : 9 enodes (cost 3 ) 0.439 * * [simplify]: iteration 1 : 11 enodes (cost 3 ) 0.439 * * [simplify]: iteration 2 : 11 enodes (cost 3 ) 0.983 * [regime-testing]: End program error score: 0