0.632 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.307 * * * [progress]: [2/2] Setting up program. 0.309 * [progress]: [Phase 2 of 3] Improving. 0.312 * [simplify]: Simplifying: (- (* re re) (* im im)) 0.312 * [simplify]: Sending expressions to egg_math: (- (* h0 h0) (* h1 h1)) 0.315 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.316 * * [simplify]: iteration 1 : 17 enodes (cost 3 ) 0.317 * * [simplify]: iteration 2 : 32 enodes (cost 3 ) 0.319 * * [simplify]: iteration 3 : 58 enodes (cost 3 ) 0.321 * * [simplify]: iteration 4 : 129 enodes (cost 3 ) 0.323 * * [simplify]: iteration 5 : 207 enodes (cost 3 ) 0.327 * * [simplify]: iteration 6 : 393 enodes (cost 3 ) 0.336 * * [simplify]: iteration 7 : 1794 enodes (cost 3 ) 0.404 * * [simplify]: iteration 8 : 5001 enodes (cost 3 ) 0.407 * * [progress]: iteration 1 / 4 0.407 * * * [progress]: picking best candidate 0.408 * * * * [pick]: Picked # 0.408 * * * [progress]: localizing error 0.415 * * * [progress]: generating rewritten candidates 0.415 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.449 * * * [progress]: generating series expansions 0.449 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.454 * [backup-simplify]: Simplify (- (* re re) (* im im)) into (- (pow re 2) (pow im 2)) 0.454 * [approximate]: Taking taylor expansion of (- (pow re 2) (pow im 2)) in (re im) around 0 0.454 * [taylor]: Taking taylor expansion of (- (pow re 2) (pow im 2)) in im 0.455 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.455 * [taylor]: Taking taylor expansion of re in im 0.455 * [backup-simplify]: Simplify re into re 0.455 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.455 * [taylor]: Taking taylor expansion of im in im 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 1 into 1 0.455 * [taylor]: Taking taylor expansion of (- (pow re 2) (pow im 2)) in re 0.455 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.455 * [taylor]: Taking taylor expansion of re in re 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 1 into 1 0.455 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.455 * [taylor]: Taking taylor expansion of im in re 0.455 * [backup-simplify]: Simplify im into im 0.455 * [taylor]: Taking taylor expansion of (- (pow re 2) (pow im 2)) in re 0.455 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.455 * [taylor]: Taking taylor expansion of re in re 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 1 into 1 0.455 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.455 * [taylor]: Taking taylor expansion of im in re 0.455 * [backup-simplify]: Simplify im into im 0.456 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.456 * [backup-simplify]: Simplify (- (pow im 2)) into (- (pow im 2)) 0.456 * [backup-simplify]: Simplify (+ 0 (- (pow im 2))) into (- (pow im 2)) 0.456 * [taylor]: Taking taylor expansion of (- (pow im 2)) in im 0.456 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.456 * [taylor]: Taking taylor expansion of im in im 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify 1 into 1 0.457 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.457 * [backup-simplify]: Simplify (- 0) into 0 0.458 * [backup-simplify]: Simplify (+ 0 0) into 0 0.458 * [taylor]: Taking taylor expansion of 0 in im 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify (* 1 1) into 1 0.458 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.459 * [backup-simplify]: Simplify (- 0) into 0 0.459 * [backup-simplify]: Simplify (+ 1 0) into 1 0.459 * [taylor]: Taking taylor expansion of 1 in im 0.459 * [backup-simplify]: Simplify 1 into 1 0.459 * [backup-simplify]: Simplify 1 into 1 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify (* 1 1) into 1 0.460 * [backup-simplify]: Simplify (- 1) into -1 0.460 * [backup-simplify]: Simplify -1 into -1 0.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.461 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.461 * [backup-simplify]: Simplify (- 0) into 0 0.461 * [backup-simplify]: Simplify (+ 0 0) into 0 0.461 * [taylor]: Taking taylor expansion of 0 in im 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.462 * [backup-simplify]: Simplify (- 0) into 0 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.463 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.463 * [backup-simplify]: Simplify (- 0) into 0 0.464 * [backup-simplify]: Simplify (+ 0 0) into 0 0.464 * [taylor]: Taking taylor expansion of 0 in im 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify (+ (* -1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (- (pow re 2) (pow im 2)) 0.464 * [backup-simplify]: Simplify (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) 0.464 * [approximate]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 0.464 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.464 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.464 * [taylor]: Taking taylor expansion of re in im 0.464 * [backup-simplify]: Simplify re into re 0.464 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.465 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.465 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.465 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.465 * [taylor]: Taking taylor expansion of im in im 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 1 into 1 0.465 * [backup-simplify]: Simplify (* 1 1) into 1 0.465 * [backup-simplify]: Simplify (/ 1 1) into 1 0.465 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.465 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.465 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.465 * [taylor]: Taking taylor expansion of re in re 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 1 into 1 0.465 * [backup-simplify]: Simplify (* 1 1) into 1 0.466 * [backup-simplify]: Simplify (/ 1 1) into 1 0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.466 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.466 * [taylor]: Taking taylor expansion of im in re 0.466 * [backup-simplify]: Simplify im into im 0.466 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.466 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.466 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.466 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.466 * [taylor]: Taking taylor expansion of re in re 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 1 into 1 0.466 * [backup-simplify]: Simplify (* 1 1) into 1 0.466 * [backup-simplify]: Simplify (/ 1 1) into 1 0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.466 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.466 * [taylor]: Taking taylor expansion of im in re 0.466 * [backup-simplify]: Simplify im into im 0.467 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.467 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.467 * [backup-simplify]: Simplify (+ 1 0) into 1 0.467 * [taylor]: Taking taylor expansion of 1 in im 0.467 * [backup-simplify]: Simplify 1 into 1 0.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (+ 0 0) into 0 0.468 * [taylor]: Taking taylor expansion of 0 in im 0.468 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.469 * [backup-simplify]: Simplify (- (/ 1 (pow im 2))) into (- (/ 1 (pow im 2))) 0.469 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow im 2)))) into (- (/ 1 (pow im 2))) 0.469 * [taylor]: Taking taylor expansion of (- (/ 1 (pow im 2))) in im 0.469 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.469 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.469 * [taylor]: Taking taylor expansion of im in im 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 1 into 1 0.470 * [backup-simplify]: Simplify (* 1 1) into 1 0.470 * [backup-simplify]: Simplify (/ 1 1) into 1 0.470 * [backup-simplify]: Simplify (- 1) into -1 0.470 * [backup-simplify]: Simplify -1 into -1 0.470 * [backup-simplify]: Simplify 1 into 1 0.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.471 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.472 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.472 * [backup-simplify]: Simplify (- 0) into 0 0.472 * [backup-simplify]: Simplify (+ 0 0) into 0 0.472 * [taylor]: Taking taylor expansion of 0 in im 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (- 0) into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.475 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.475 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.475 * [backup-simplify]: Simplify (- 0) into 0 0.476 * [backup-simplify]: Simplify (+ 0 0) into 0 0.476 * [taylor]: Taking taylor expansion of 0 in im 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.477 * [backup-simplify]: Simplify (- 0) into 0 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* -1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (- (pow re 2) (pow im 2)) 0.477 * [backup-simplify]: Simplify (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) 0.477 * [approximate]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 0.477 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.477 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.477 * [taylor]: Taking taylor expansion of re in im 0.477 * [backup-simplify]: Simplify re into re 0.478 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.478 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.478 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.478 * [taylor]: Taking taylor expansion of im in im 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify 1 into 1 0.478 * [backup-simplify]: Simplify (* 1 1) into 1 0.478 * [backup-simplify]: Simplify (/ 1 1) into 1 0.478 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.478 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.478 * [taylor]: Taking taylor expansion of re in re 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify 1 into 1 0.479 * [backup-simplify]: Simplify (* 1 1) into 1 0.479 * [backup-simplify]: Simplify (/ 1 1) into 1 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.479 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.479 * [taylor]: Taking taylor expansion of im in re 0.479 * [backup-simplify]: Simplify im into im 0.479 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.479 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.479 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.479 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.479 * [taylor]: Taking taylor expansion of re in re 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 1 into 1 0.479 * [backup-simplify]: Simplify (* 1 1) into 1 0.479 * [backup-simplify]: Simplify (/ 1 1) into 1 0.480 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.480 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.480 * [taylor]: Taking taylor expansion of im in re 0.480 * [backup-simplify]: Simplify im into im 0.480 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.480 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.480 * [backup-simplify]: Simplify (+ 1 0) into 1 0.480 * [taylor]: Taking taylor expansion of 1 in im 0.480 * [backup-simplify]: Simplify 1 into 1 0.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (+ 0 0) into 0 0.481 * [taylor]: Taking taylor expansion of 0 in im 0.481 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.482 * [backup-simplify]: Simplify (- (/ 1 (pow im 2))) into (- (/ 1 (pow im 2))) 0.482 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow im 2)))) into (- (/ 1 (pow im 2))) 0.482 * [taylor]: Taking taylor expansion of (- (/ 1 (pow im 2))) in im 0.482 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.482 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.482 * [taylor]: Taking taylor expansion of im in im 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 1 into 1 0.483 * [backup-simplify]: Simplify (* 1 1) into 1 0.483 * [backup-simplify]: Simplify (/ 1 1) into 1 0.483 * [backup-simplify]: Simplify (- 1) into -1 0.483 * [backup-simplify]: Simplify -1 into -1 0.483 * [backup-simplify]: Simplify 1 into 1 0.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.484 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.484 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.485 * [backup-simplify]: Simplify (- 0) into 0 0.485 * [backup-simplify]: Simplify (+ 0 0) into 0 0.485 * [taylor]: Taking taylor expansion of 0 in im 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (- 0) into 0 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.487 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.488 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.488 * [backup-simplify]: Simplify (- 0) into 0 0.488 * [backup-simplify]: Simplify (+ 0 0) into 0 0.488 * [taylor]: Taking taylor expansion of 0 in im 0.488 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify (- 0) into 0 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (- (pow re 2) (pow im 2)) 0.490 * * * [progress]: simplifying candidates 0.490 * [simplify]: Simplifying: (/ (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)))) (- (* im im)) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (+ (* re re) (* im im)) (+ re im) (- re im) (- (* im im)) (- (pow re 2) (pow im 2)) (- (pow re 2) (pow im 2)) (- (pow re 2) (pow im 2)) 0.490 * [simplify]: Sending expressions to egg_math: (/ (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)))) (- (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))) (+ (* h0 h0) (* h1 h1)) (+ h0 h1) (- h0 h1) (- (* h1 h1)) (- (pow h0 2) (pow h1 2)) (- (pow h0 2) (pow h1 2)) (- (pow h0 2) (pow h1 2)) 0.493 * * [simplify]: iteration 0 : 93 enodes (cost 83 ) 0.496 * * [simplify]: iteration 1 : 375 enodes (cost 72 ) 0.503 * * [simplify]: iteration 2 : 1243 enodes (cost 72 ) 0.534 * * [simplify]: iteration 3 : 5001 enodes (cost 72 ) 0.534 * * * [progress]: adding candidates to table 0.565 * * [progress]: iteration 2 / 4 0.565 * * * [progress]: picking best candidate 0.566 * * * * [pick]: Picked # 0.566 * * * [progress]: localizing error 0.571 * * * [progress]: generating rewritten candidates 0.571 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.605 * * * [progress]: generating series expansions 0.605 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.605 * [backup-simplify]: Simplify (* (+ re im) (- re im)) into (* (+ re im) (- re im)) 0.605 * [approximate]: Taking taylor expansion of (* (+ re im) (- re im)) in (re im) around 0 0.605 * [taylor]: Taking taylor expansion of (* (+ re im) (- re im)) in im 0.605 * [taylor]: Taking taylor expansion of (+ re im) in im 0.605 * [taylor]: Taking taylor expansion of re in im 0.605 * [backup-simplify]: Simplify re into re 0.605 * [taylor]: Taking taylor expansion of im in im 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify 1 into 1 0.605 * [taylor]: Taking taylor expansion of (- re im) in im 0.605 * [taylor]: Taking taylor expansion of re in im 0.605 * [backup-simplify]: Simplify re into re 0.605 * [taylor]: Taking taylor expansion of im in im 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify 1 into 1 0.605 * [taylor]: Taking taylor expansion of (* (+ re im) (- re im)) in re 0.605 * [taylor]: Taking taylor expansion of (+ re im) in re 0.605 * [taylor]: Taking taylor expansion of re in re 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify 1 into 1 0.605 * [taylor]: Taking taylor expansion of im in re 0.605 * [backup-simplify]: Simplify im into im 0.605 * [taylor]: Taking taylor expansion of (- re im) in re 0.606 * [taylor]: Taking taylor expansion of re in re 0.606 * [backup-simplify]: Simplify 0 into 0 0.606 * [backup-simplify]: Simplify 1 into 1 0.606 * [taylor]: Taking taylor expansion of im in re 0.606 * [backup-simplify]: Simplify im into im 0.606 * [taylor]: Taking taylor expansion of (* (+ re im) (- re im)) in re 0.606 * [taylor]: Taking taylor expansion of (+ re im) in re 0.606 * [taylor]: Taking taylor expansion of re in re 0.606 * [backup-simplify]: Simplify 0 into 0 0.606 * [backup-simplify]: Simplify 1 into 1 0.606 * [taylor]: Taking taylor expansion of im in re 0.606 * [backup-simplify]: Simplify im into im 0.606 * [taylor]: Taking taylor expansion of (- re im) in re 0.606 * [taylor]: Taking taylor expansion of re in re 0.606 * [backup-simplify]: Simplify 0 into 0 0.606 * [backup-simplify]: Simplify 1 into 1 0.606 * [taylor]: Taking taylor expansion of im in re 0.606 * [backup-simplify]: Simplify im into im 0.606 * [backup-simplify]: Simplify (+ 0 im) into im 0.606 * [backup-simplify]: Simplify (- im) into (- im) 0.606 * [backup-simplify]: Simplify (+ 0 (- im)) into (- im) 0.606 * [backup-simplify]: Simplify (* im (- im)) into (* -1 (pow im 2)) 0.606 * [taylor]: Taking taylor expansion of (* -1 (pow im 2)) in im 0.606 * [taylor]: Taking taylor expansion of -1 in im 0.606 * [backup-simplify]: Simplify -1 into -1 0.606 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.606 * [taylor]: Taking taylor expansion of im in im 0.606 * [backup-simplify]: Simplify 0 into 0 0.606 * [backup-simplify]: Simplify 1 into 1 0.607 * [backup-simplify]: Simplify (- 0) into 0 0.607 * [backup-simplify]: Simplify (+ 1 0) into 1 0.607 * [backup-simplify]: Simplify (+ 1 0) into 1 0.607 * [backup-simplify]: Simplify (+ (* im 1) (* 1 (- im))) into 0 0.607 * [taylor]: Taking taylor expansion of 0 in im 0.607 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify (- 0) into 0 0.608 * [backup-simplify]: Simplify (+ 0 0) into 0 0.608 * [backup-simplify]: Simplify (+ 0 0) into 0 0.608 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 1 1) (* 0 (- im)))) into 1 0.608 * [taylor]: Taking taylor expansion of 1 in im 0.608 * [backup-simplify]: Simplify 1 into 1 0.608 * [backup-simplify]: Simplify 1 into 1 0.608 * [backup-simplify]: Simplify 0 into 0 0.608 * [backup-simplify]: Simplify (* 1 1) into 1 0.609 * [backup-simplify]: Simplify (* -1 1) into -1 0.609 * [backup-simplify]: Simplify -1 into -1 0.609 * [backup-simplify]: Simplify (- 0) into 0 0.609 * [backup-simplify]: Simplify (+ 0 0) into 0 0.609 * [backup-simplify]: Simplify (+ 0 0) into 0 0.610 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- im))))) into 0 0.610 * [taylor]: Taking taylor expansion of 0 in im 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.611 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 0.611 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify (- 0) into 0 0.611 * [backup-simplify]: Simplify (+ 0 0) into 0 0.611 * [backup-simplify]: Simplify (+ 0 0) into 0 0.612 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- im)))))) into 0 0.612 * [taylor]: Taking taylor expansion of 0 in im 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify (+ (* -1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (- (pow re 2) (pow im 2)) 0.613 * [backup-simplify]: Simplify (* (+ (/ 1 re) (/ 1 im)) (- (/ 1 re) (/ 1 im))) into (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 im) (/ 1 re))) 0.613 * [approximate]: Taking taylor expansion of (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 im) (/ 1 re))) in (re im) around 0 0.613 * [taylor]: Taking taylor expansion of (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 im) (/ 1 re))) in im 0.613 * [taylor]: Taking taylor expansion of (- (/ 1 re) (/ 1 im)) in im 0.613 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.613 * [taylor]: Taking taylor expansion of re in im 0.613 * [backup-simplify]: Simplify re into re 0.613 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.613 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.613 * [taylor]: Taking taylor expansion of im in im 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify 1 into 1 0.613 * [backup-simplify]: Simplify (/ 1 1) into 1 0.613 * [taylor]: Taking taylor expansion of (+ (/ 1 im) (/ 1 re)) in im 0.613 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.613 * [taylor]: Taking taylor expansion of im in im 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify 1 into 1 0.613 * [backup-simplify]: Simplify (/ 1 1) into 1 0.613 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.613 * [taylor]: Taking taylor expansion of re in im 0.613 * [backup-simplify]: Simplify re into re 0.613 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.613 * [taylor]: Taking taylor expansion of (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 im) (/ 1 re))) in re 0.613 * [taylor]: Taking taylor expansion of (- (/ 1 re) (/ 1 im)) in re 0.614 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.614 * [taylor]: Taking taylor expansion of re in re 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify 1 into 1 0.614 * [backup-simplify]: Simplify (/ 1 1) into 1 0.614 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.614 * [taylor]: Taking taylor expansion of im in re 0.614 * [backup-simplify]: Simplify im into im 0.614 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.614 * [taylor]: Taking taylor expansion of (+ (/ 1 im) (/ 1 re)) in re 0.614 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.614 * [taylor]: Taking taylor expansion of im in re 0.614 * [backup-simplify]: Simplify im into im 0.614 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.614 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.614 * [taylor]: Taking taylor expansion of re in re 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify 1 into 1 0.614 * [backup-simplify]: Simplify (/ 1 1) into 1 0.614 * [taylor]: Taking taylor expansion of (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 im) (/ 1 re))) in re 0.614 * [taylor]: Taking taylor expansion of (- (/ 1 re) (/ 1 im)) in re 0.614 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.614 * [taylor]: Taking taylor expansion of re in re 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify 1 into 1 0.615 * [backup-simplify]: Simplify (/ 1 1) into 1 0.615 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.615 * [taylor]: Taking taylor expansion of im in re 0.615 * [backup-simplify]: Simplify im into im 0.615 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.615 * [taylor]: Taking taylor expansion of (+ (/ 1 im) (/ 1 re)) in re 0.615 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.615 * [taylor]: Taking taylor expansion of im in re 0.615 * [backup-simplify]: Simplify im into im 0.615 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.615 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.615 * [taylor]: Taking taylor expansion of re in re 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify 1 into 1 0.615 * [backup-simplify]: Simplify (/ 1 1) into 1 0.615 * [backup-simplify]: Simplify (+ 1 0) into 1 0.616 * [backup-simplify]: Simplify (+ 0 1) into 1 0.616 * [backup-simplify]: Simplify (* 1 1) into 1 0.616 * [taylor]: Taking taylor expansion of 1 in im 0.616 * [backup-simplify]: Simplify 1 into 1 0.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.616 * [backup-simplify]: Simplify (+ (/ 1 im) 0) into (/ 1 im) 0.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.617 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 0.617 * [backup-simplify]: Simplify (+ 0 (- (/ 1 im))) into (- (/ 1 im)) 0.617 * [backup-simplify]: Simplify (+ (* 1 (/ 1 im)) (* (- (/ 1 im)) 1)) into 0 0.617 * [taylor]: Taking taylor expansion of 0 in im 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.618 * [backup-simplify]: Simplify (+ 0 0) into 0 0.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.618 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.619 * [backup-simplify]: Simplify (- 0) into 0 0.619 * [backup-simplify]: Simplify (+ 0 0) into 0 0.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 im)) (/ 1 im)) (* 0 1))) into (- (/ 1 (pow im 2))) 0.619 * [taylor]: Taking taylor expansion of (- (/ 1 (pow im 2))) in im 0.620 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.620 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.620 * [taylor]: Taking taylor expansion of im in im 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify 1 into 1 0.620 * [backup-simplify]: Simplify (* 1 1) into 1 0.620 * [backup-simplify]: Simplify (/ 1 1) into 1 0.620 * [backup-simplify]: Simplify (- 1) into -1 0.620 * [backup-simplify]: Simplify -1 into -1 0.620 * [backup-simplify]: Simplify 1 into 1 0.621 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.621 * [backup-simplify]: Simplify (+ 0 0) into 0 0.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.622 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.622 * [backup-simplify]: Simplify (- 0) into 0 0.623 * [backup-simplify]: Simplify (+ 0 0) into 0 0.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 im)) 0) (+ (* 0 (/ 1 im)) (* 0 1)))) into 0 0.623 * [taylor]: Taking taylor expansion of 0 in im 0.623 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.624 * [backup-simplify]: Simplify (- 0) into 0 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.625 * [backup-simplify]: Simplify (+ 0 0) into 0 0.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.626 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.626 * [backup-simplify]: Simplify (- 0) into 0 0.626 * [backup-simplify]: Simplify (+ 0 0) into 0 0.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 (/ 1 im)) (* 0 1))))) into 0 0.627 * [taylor]: Taking taylor expansion of 0 in im 0.627 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.628 * [backup-simplify]: Simplify (- 0) into 0 0.628 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* -1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (- (pow re 2) (pow im 2)) 0.629 * [backup-simplify]: Simplify (* (+ (/ 1 (- re)) (/ 1 (- im))) (- (/ 1 (- re)) (/ 1 (- im)))) into (* -1 (* (- (/ 1 im) (/ 1 re)) (+ (/ 1 im) (/ 1 re)))) 0.629 * [approximate]: Taking taylor expansion of (* -1 (* (- (/ 1 im) (/ 1 re)) (+ (/ 1 im) (/ 1 re)))) in (re im) around 0 0.629 * [taylor]: Taking taylor expansion of (* -1 (* (- (/ 1 im) (/ 1 re)) (+ (/ 1 im) (/ 1 re)))) in im 0.629 * [taylor]: Taking taylor expansion of -1 in im 0.629 * [backup-simplify]: Simplify -1 into -1 0.629 * [taylor]: Taking taylor expansion of (* (- (/ 1 im) (/ 1 re)) (+ (/ 1 im) (/ 1 re))) in im 0.629 * [taylor]: Taking taylor expansion of (- (/ 1 im) (/ 1 re)) in im 0.629 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.629 * [taylor]: Taking taylor expansion of im in im 0.629 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify 1 into 1 0.629 * [backup-simplify]: Simplify (/ 1 1) into 1 0.629 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.629 * [taylor]: Taking taylor expansion of re in im 0.629 * [backup-simplify]: Simplify re into re 0.629 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.629 * [taylor]: Taking taylor expansion of (+ (/ 1 im) (/ 1 re)) in im 0.630 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.630 * [taylor]: Taking taylor expansion of im in im 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify 1 into 1 0.630 * [backup-simplify]: Simplify (/ 1 1) into 1 0.630 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.630 * [taylor]: Taking taylor expansion of re in im 0.630 * [backup-simplify]: Simplify re into re 0.630 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.630 * [taylor]: Taking taylor expansion of (* -1 (* (- (/ 1 im) (/ 1 re)) (+ (/ 1 im) (/ 1 re)))) in re 0.630 * [taylor]: Taking taylor expansion of -1 in re 0.630 * [backup-simplify]: Simplify -1 into -1 0.630 * [taylor]: Taking taylor expansion of (* (- (/ 1 im) (/ 1 re)) (+ (/ 1 im) (/ 1 re))) in re 0.630 * [taylor]: Taking taylor expansion of (- (/ 1 im) (/ 1 re)) in re 0.630 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.630 * [taylor]: Taking taylor expansion of im in re 0.630 * [backup-simplify]: Simplify im into im 0.630 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.630 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.630 * [taylor]: Taking taylor expansion of re in re 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify 1 into 1 0.630 * [backup-simplify]: Simplify (/ 1 1) into 1 0.630 * [taylor]: Taking taylor expansion of (+ (/ 1 im) (/ 1 re)) in re 0.630 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.630 * [taylor]: Taking taylor expansion of im in re 0.630 * [backup-simplify]: Simplify im into im 0.630 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.630 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.630 * [taylor]: Taking taylor expansion of re in re 0.630 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify 1 into 1 0.631 * [backup-simplify]: Simplify (/ 1 1) into 1 0.631 * [taylor]: Taking taylor expansion of (* -1 (* (- (/ 1 im) (/ 1 re)) (+ (/ 1 im) (/ 1 re)))) in re 0.631 * [taylor]: Taking taylor expansion of -1 in re 0.631 * [backup-simplify]: Simplify -1 into -1 0.631 * [taylor]: Taking taylor expansion of (* (- (/ 1 im) (/ 1 re)) (+ (/ 1 im) (/ 1 re))) in re 0.631 * [taylor]: Taking taylor expansion of (- (/ 1 im) (/ 1 re)) in re 0.631 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.631 * [taylor]: Taking taylor expansion of im in re 0.631 * [backup-simplify]: Simplify im into im 0.631 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.631 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.631 * [taylor]: Taking taylor expansion of re in re 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify 1 into 1 0.631 * [backup-simplify]: Simplify (/ 1 1) into 1 0.631 * [taylor]: Taking taylor expansion of (+ (/ 1 im) (/ 1 re)) in re 0.631 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.631 * [taylor]: Taking taylor expansion of im in re 0.631 * [backup-simplify]: Simplify im into im 0.631 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.631 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.631 * [taylor]: Taking taylor expansion of re in re 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify 1 into 1 0.632 * [backup-simplify]: Simplify (/ 1 1) into 1 0.632 * [backup-simplify]: Simplify (- 1) into -1 0.632 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.632 * [backup-simplify]: Simplify (+ 0 1) into 1 0.633 * [backup-simplify]: Simplify (* -1 1) into -1 0.633 * [backup-simplify]: Simplify (* -1 -1) into 1 0.633 * [taylor]: Taking taylor expansion of 1 in im 0.633 * [backup-simplify]: Simplify 1 into 1 0.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.633 * [backup-simplify]: Simplify (+ (/ 1 im) 0) into (/ 1 im) 0.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.637 * [backup-simplify]: Simplify (- 0) into 0 0.637 * [backup-simplify]: Simplify (+ (/ 1 im) 0) into (/ 1 im) 0.637 * [backup-simplify]: Simplify (+ (* -1 (/ 1 im)) (* (/ 1 im) 1)) into 0 0.637 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.637 * [taylor]: Taking taylor expansion of 0 in im 0.637 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.638 * [backup-simplify]: Simplify (+ 0 0) into 0 0.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.639 * [backup-simplify]: Simplify (- 0) into 0 0.639 * [backup-simplify]: Simplify (+ 0 0) into 0 0.640 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 im) (/ 1 im)) (* 0 1))) into (/ 1 (pow im 2)) 0.640 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 -1))) into (- (/ 1 (pow im 2))) 0.640 * [taylor]: Taking taylor expansion of (- (/ 1 (pow im 2))) in im 0.640 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.640 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.640 * [taylor]: Taking taylor expansion of im in im 0.640 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify 1 into 1 0.641 * [backup-simplify]: Simplify (* 1 1) into 1 0.641 * [backup-simplify]: Simplify (/ 1 1) into 1 0.641 * [backup-simplify]: Simplify (- 1) into -1 0.641 * [backup-simplify]: Simplify -1 into -1 0.641 * [backup-simplify]: Simplify 1 into 1 0.641 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.642 * [backup-simplify]: Simplify (+ 0 0) into 0 0.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.643 * [backup-simplify]: Simplify (- 0) into 0 0.643 * [backup-simplify]: Simplify (+ 0 0) into 0 0.644 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 im) 0) (+ (* 0 (/ 1 im)) (* 0 1)))) into 0 0.644 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 -1)))) into 0 0.644 * [taylor]: Taking taylor expansion of 0 in im 0.644 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.645 * [backup-simplify]: Simplify (- 0) into 0 0.645 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify 0 into 0 0.646 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.646 * [backup-simplify]: Simplify (+ 0 0) into 0 0.646 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.647 * [backup-simplify]: Simplify (- 0) into 0 0.647 * [backup-simplify]: Simplify (+ 0 0) into 0 0.648 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 im) 0) (+ (* 0 0) (+ (* 0 (/ 1 im)) (* 0 1))))) into 0 0.649 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 -1))))) into 0 0.649 * [taylor]: Taking taylor expansion of 0 in im 0.649 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.650 * [backup-simplify]: Simplify (- 0) into 0 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (- (pow re 2) (pow im 2)) 0.651 * * * [progress]: simplifying candidates 0.651 * [simplify]: Simplifying: (* (+ re im) (- re im)) (+ (log (+ re im)) (log (- re im))) (log (* (+ re im) (- re im))) (exp (* (+ re im) (- re im))) (* (* (* (+ re im) (+ re im)) (+ re im)) (* (* (- re im) (- re im)) (- re im))) (* (cbrt (* (+ re im) (- re im))) (cbrt (* (+ re im) (- re im)))) (cbrt (* (+ re im) (- re im))) (* (* (* (+ re im) (- re im)) (* (+ re im) (- re im))) (* (+ re im) (- re im))) (sqrt (* (+ re im) (- re im))) (sqrt (* (+ re im) (- re im))) (* (+ (pow re 3) (pow im 3)) (- (pow re 3) (pow im 3))) (* (+ (* re re) (- (* im im) (* re im))) (+ (* re re) (+ (* im im) (* re im)))) (* (+ (pow re 3) (pow im 3)) (- (* re re) (* im im))) (* (+ (* re re) (- (* im im) (* re im))) (+ re im)) (* (- (* re re) (* im im)) (- (pow re 3) (pow im 3))) (* (- re im) (+ (* re re) (+ (* im im) (* re im)))) (* (- (* re re) (* im im)) (- (* re re) (* im im))) (* (- re im) (+ re im)) (* (sqrt (+ re im)) (sqrt (- re im))) (* (sqrt (+ re im)) (sqrt (- re im))) (* (+ re im) re) (* (+ re im) (- im)) (* (+ re im) re) (* (+ re im) (- im)) (* re (+ re im)) (* (- im) (+ re im)) (* re (+ re im)) (* (- im) (+ re im)) (* (+ re im) (* (cbrt (- re im)) (cbrt (- re im)))) (* (+ re im) (sqrt (- re im))) (* (+ re im) 1) (* (+ re im) (+ (sqrt re) (sqrt im))) (* (+ re im) 1) (* (cbrt (+ re im)) (- re im)) (* (sqrt (+ re im)) (- re im)) (* (+ re im) (- re im)) (* (+ re im) (- re im)) (* (+ re im) (- (pow re 3) (pow im 3))) (* (+ re im) (- (* re re) (* im im))) (* (+ (pow re 3) (pow im 3)) (- re im)) (* (- (* re re) (* im im)) (- re im)) (- (pow re 2) (pow im 2)) (- (pow re 2) (pow im 2)) (- (pow re 2) (pow im 2)) 0.651 * [simplify]: Sending expressions to egg_math: (* (+ h0 h1) (- h0 h1)) (+ (log (+ h0 h1)) (log (- h0 h1))) (log (* (+ h0 h1) (- h0 h1))) (exp (* (+ h0 h1) (- h0 h1))) (* (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* (- h0 h1) (- h0 h1)) (- h0 h1))) (* (cbrt (* (+ h0 h1) (- h0 h1))) (cbrt (* (+ h0 h1) (- h0 h1)))) (cbrt (* (+ h0 h1) (- h0 h1))) (* (* (* (+ h0 h1) (- h0 h1)) (* (+ h0 h1) (- h0 h1))) (* (+ h0 h1) (- h0 h1))) (sqrt (* (+ h0 h1) (- h0 h1))) (sqrt (* (+ h0 h1) (- h0 h1))) (* (+ (pow h0 3) (pow h1 3)) (- (pow h0 3) (pow h1 3))) (* (+ (* h0 h0) (- (* h1 h1) (* h0 h1))) (+ (* h0 h0) (+ (* h1 h1) (* h0 h1)))) (* (+ (pow h0 3) (pow h1 3)) (- (* h0 h0) (* h1 h1))) (* (+ (* h0 h0) (- (* h1 h1) (* h0 h1))) (+ h0 h1)) (* (- (* h0 h0) (* h1 h1)) (- (pow h0 3) (pow h1 3))) (* (- h0 h1) (+ (* h0 h0) (+ (* h1 h1) (* h0 h1)))) (* (- (* h0 h0) (* h1 h1)) (- (* h0 h0) (* h1 h1))) (* (- h0 h1) (+ h0 h1)) (* (sqrt (+ h0 h1)) (sqrt (- h0 h1))) (* (sqrt (+ h0 h1)) (sqrt (- h0 h1))) (* (+ h0 h1) h0) (* (+ h0 h1) (- h1)) (* (+ h0 h1) h0) (* (+ h0 h1) (- h1)) (* h0 (+ h0 h1)) (* (- h1) (+ h0 h1)) (* h0 (+ h0 h1)) (* (- h1) (+ h0 h1)) (* (+ h0 h1) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (* (+ h0 h1) (sqrt (- h0 h1))) (* (+ h0 h1) 1) (* (+ h0 h1) (+ (sqrt h0) (sqrt h1))) (* (+ h0 h1) 1) (* (cbrt (+ h0 h1)) (- h0 h1)) (* (sqrt (+ h0 h1)) (- h0 h1)) (* (+ h0 h1) (- h0 h1)) (* (+ h0 h1) (- h0 h1)) (* (+ h0 h1) (- (pow h0 3) (pow h1 3))) (* (+ h0 h1) (- (* h0 h0) (* h1 h1))) (* (+ (pow h0 3) (pow h1 3)) (- h0 h1)) (* (- (* h0 h0) (* h1 h1)) (- h0 h1)) (- (pow h0 2) (pow h1 2)) (- (pow h0 2) (pow h1 2)) (- (pow h0 2) (pow h1 2)) 0.655 * * [simplify]: iteration 0 : 196 enodes (cost 201 ) 0.659 * * [simplify]: iteration 1 : 986 enodes (cost 187 ) 0.682 * * [simplify]: iteration 2 : 5001 enodes (cost 187 ) 0.684 * * * [progress]: adding candidates to table 0.742 * [progress]: [Phase 3 of 3] Extracting. 0.742 * * [regime]: Finding splitpoints for: (# #) 0.743 * * * [regime-changes]: Trying 5 branch expressions: ((* im im) (* re re) (- (* re re) (* im im)) im re) 0.743 * * * * [regimes]: Trying to branch on (* im im) from (# #) 0.754 * * * * [regimes]: Trying to branch on (* re re) from (# #) 0.764 * * * * [regimes]: Trying to branch on (- (* re re) (* im im)) from (# #) 0.776 * * * * [regimes]: Trying to branch on im from (# #) 0.787 * * * * [regimes]: Trying to branch on re from (# #) 0.797 * * * [regime]: Found split indices: #